tag:blogger.com,1999:blog-18048777332131837102024-02-08T10:13:02.029-08:00Dewi NurelAnonymoushttp://www.blogger.com/profile/12687144285653136583noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-1804877733213183710.post-81158010427290464482013-04-14T20:44:00.002-07:002013-04-14T20:44:50.990-07:00Estimasi titik<br />
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<b><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 16.0pt; line-height: 150%;">ESTIMASI
TITIK<o:p></o:p></span></b></div>
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<!--[if !supportLists]--><b><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">A.<span style="font-family: 'Times New Roman'; font-size: 7pt; font-weight: normal; line-height: normal;">
</span></span></b><!--[endif]--><b><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Estimasi
Titik<o:p></o:p></span></b></div>
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<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Rasional dibalik
estimasi titik sangat sederhana. Bila sampling berasal dari populasi yang
digambarkan melalui densitas</span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>f</m:r></span></i><m:d><m:dPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>x</m:r></span></i></m:e><m:e><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>θ</m:r></span></i></m:e></m:d></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shapetype coordsize="21600,21600" filled="f" id="_x0000_t75" o:preferrelative="t" o:spt="75" path="m@4@5l@4@11@9@11@9@5xe" stroked="f">
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<o:lock aspectratio="t" v:ext="edit">
</o:lock></v:path></v:stroke></v:shapetype><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 34.5pt;" type="#_x0000_t75">
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</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">, pengetahuan tentang </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>θ</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 6.75pt;" type="#_x0000_t75">
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</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> menghasilkan karakteristik mengenai
keseluruhan populasi. Oleh karenanya sangat masuk akal untuk mencari metode
untuk mendapatkan estimator yang baik untuk </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>θ</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 6.75pt;" type="#_x0000_t75">
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</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">. Dalam banyak kasus, kita juga mempunyai
kepentingan untuk mengestimate fungsi dari</span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>θ</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 6.75pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image002.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">, katakanlah </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>g</m:r></span></i><m:d><m:dPr><span style='font-size:
12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>θ</m:r></span></i><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:e></m:d><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>.</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 27pt;" type="#_x0000_t75">
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</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">ini berarti metode pencarian estimator </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>g</m:r><m:r>(</m:r></span></i><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:
"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>θ</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 24.75pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image004.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">juga menjadi perhatian kita.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<b><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Definisi:
</span></b><i><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Suatu
estimator titik adalah sebarang fungsi T(X<sub>1</sub>,X<sub>2</sub>,…,X<sub>n</sub>)
dari sampel. Ini berarti sebarang statistik adalah estimator titik.<o:p></o:p></span></i></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<i><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> </span></i><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Perhatikan
bahwa terdapat perbedaan antara <i>estimate </i>dan
<i>estimator</i>. Suatu <i>estimator </i>adalah fungsi sampel,
sedang <i>estimate </i>adalah nilai
terealisasi dari <i>estimator</i> yaitu
bilangan yang didapat bila sampel benar-benar diambil. Secara otasi, bila
sampel diambi, estimator adalah fungsi variable random X<i><sub>1</sub></i>,X<i><sub>2</sub></i>,…,X<i><sub>n </sub></i>sedang estimate adalah
fungsi dari nilai-nilai terealisasi </span><!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman"'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><span
lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>x</m:r></span></m:e><m:sub><span lang=EN-US
style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>1</m:r></span></m:sub></m:sSub><sub><span lang=EN-US
style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>, </m:r></span></sub><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
vertical-align:sub'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><sub><span
lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>x</m:r></span></sub></m:e><m:sub><sub><span
lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>2</m:r></span></sub></m:sub></m:sSub><sub><span
lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr> </m:r></span></sub><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>...,
</m:r></span><m:sSub><m:sSubPr><span style='font-size:12.0pt;mso-ansi-font-size:
12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman"'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><span
lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>x</m:r></span></m:e><m:sub><span lang=EN-US
style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>n</m:r></span></m:sub></m:sSub></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 59.25pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image005.png">
</v:imagedata></v:shape></span><!--[endif]--><i><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">.<o:p></o:p></span></i></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> Disimpulkan
bahwa estimasi adalah taksiran dan yang diestimasi adalah parameter populasi.
Data yang digunakan untuk melakukan estimasi parameter populasi adalah
statistik sampel sebagai estimator. Pada estimasi titik, hasil estimasi adalah
satu nilai parameter (sama dengan nilai statistik).<o:p></o:p></span></div>
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<b><span lang="EN-US" style="font-family: "Times New Roman","serif";">StatistikSampel<o:p></o:p></span></b></div>
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<b><span lang="EN-US" style="font-family: "Times New Roman","serif";">Parameter Populasi<o:p></o:p></span></b></div>
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<!--[if !supportLists]--><b><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">B.<span style="font-family: 'Times New Roman'; font-size: 7pt; font-weight: normal; line-height: normal;">
</span></span></b><!--[endif]--><b><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">MetodeMomen<o:p></o:p></span></b></div>
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<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Metode momen
yang diciptakan oleh Karl Person pada tahun 1800 adalah metode tertua dalam
menentukan estimator titik.<o:p></o:p></span></div>
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<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"> Misalkan </span><i><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">X<sub>1</sub>,X<sub>2</sub>,…,X<sub>n </sub></span></i><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">adalah
sampel populasi dengan densitas </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
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style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
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style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
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menyamakan <i>k </i>momen sampel pertama
pada <i>k </i>momen sampel populasi dan
menyesuaikan sistem persamaan simultan
yang dihasilkan. Lebih tepatnya, untuk <i> t</i>=1,…,<i>k
</i>definisikan<o:p></o:p></span></div>
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<!--[if gte msEquation 12]><m:oMathPara><m:oMath><m:sSub><m:sSubPr><span
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font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>X</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>i</m:r></span></i></m:sub><m:sup><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>2</m:r></span></i></m:sup></m:sSubSup><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>,</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:
12.0pt;font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>μ</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>2</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>=</m:r></span></i><m:sSup><m:sSupPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:
12.0pt;font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>EX</m:r></span></i></m:e><m:sup><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>2</m:r></span></i></m:sup></m:sSup></m:e></m:nary></m:oMath></m:oMathPara><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;"><v:shape id="_x0000_i1025" style="height: 41.25pt; width: 125.25pt;" type="#_x0000_t75">
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<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 18.0pt; margin-right: 0cm; margin-top: 0cm; text-align: justify;">
<!--[if gte msEquation 12]><m:oMathPara><m:oMath><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>m</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>t</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>=</m:r></span></i><m:f><m:fPr><span style='font-size:
12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;font-family:
"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:
"Cambria Math";mso-bidi-font-family:"Times New Roman";font-style:italic;
mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>1</m:r></span></i></m:num><m:den><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>n</m:r></span></i></m:den></m:f><m:nary><m:naryPr><m:chr
m:val="∑"/><m:limLoc m:val="undOvr"/><span style='font-size:12.0pt;
mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>i</m:r><m:r>=1</m:r></span></i></m:sub><m:sup><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>n</m:r></span></i></m:sup><m:e><m:sSubSup><m:sSubSupPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:
12.0pt;font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>X</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>i</m:r></span></i></m:sub><m:sup><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>t</m:r></span></i></m:sup></m:sSubSup><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>,</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:
12.0pt;font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>μ</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>t</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>=</m:r></span></i><m:sSup><m:sSupPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:
12.0pt;font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>EX</m:r></span></i></m:e><m:sup><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>t</m:r></span></i></m:sup></m:sSup></m:e></m:nary></m:oMath></m:oMathPara><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;"><v:shape id="_x0000_i1025" style="height: 41.25pt; width: 121.5pt;" type="#_x0000_t75">
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</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 144.0pt; margin-right: 0cm; margin-top: 0cm; text-indent: 36.0pt;">
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<v:shadow color="#868686">
<v:textbox>
<!--[if !mso]-->
<table cellpadding="0" cellspacing="0" style="width: 100%px;">
<tbody>
<tr>
<td><!--[endif]-->
<div>
<div class="MsoNormal">
<!--[if gte msEquation 12]><m:oMathPara><m:oMath><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:
12.0pt;font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:115%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>m</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:115%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>t</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:115%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>=</m:r></span></i><m:f><m:fPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:
12.0pt;font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:115%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>1</m:r></span></i></m:num><m:den><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:115%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>n</m:r></span></i></m:den></m:f><m:nary><m:naryPr><m:chr
m:val="∑"/><m:limLoc m:val="undOvr"/><span style='font-size:12.0pt;
mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:115%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>i</m:r><m:r>=1</m:r></span></i></m:sub><m:sup><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:115%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>n</m:r></span></i></m:sup><m:e><m:sSubSup><m:sSubSupPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:
12.0pt;font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:115%;font-family:"Cambria Math","serif";
mso-bidi-font-family:"Times New Roman"'><m:r>x</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:115%;font-family:"Cambria Math","serif";
mso-bidi-font-family:"Times New Roman"'><m:r>i</m:r></span></i></m:sub><m:sup><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:115%;font-family:"Cambria Math","serif";
mso-bidi-font-family:"Times New Roman"'><m:r>t</m:r></span></i></m:sup></m:sSubSup></m:e></m:nary></m:oMath></m:oMathPara><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;"><v:shape id="_x0000_i1025" style="height: 41.25pt; width: 69pt;" type="#_x0000_t75">
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</v:imagedata></v:shape></span><!--[endif]--></div>
</div>
<!--[if !mso]--></td>
</tr>
</tbody></table>
<!--[endif]--></v:textbox>
</v:shadow></v:shape><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> </span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 144.0pt; margin-right: 0cm; margin-top: 0cm; text-indent: 36.0pt;">
<br /></div>
<br clear="ALL" />
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 144.0pt; margin-right: 0cm; margin-top: 0cm; text-indent: 36.0pt;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">t=
1, 2, 3,..., k</span><!--[if gte msEquation 12]><m:oMath><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:
"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r><span
style='mso-spacerun:yes'> </span></m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 8.25pt;" type="#_x0000_t75">
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</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Untuk diskrit : </span><!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>μ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>t</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>=</m:r></span></i><m:nary><m:naryPr><m:chr
m:val="∑"/><m:limLoc m:val="undOvr"/><m:supHide m:val="on"/><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>x</m:r><m:r>∈</m:r><m:r>R</m:r></span></i></m:sub><m:sup></m:sup><m:e><m:sSup><m:sSupPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>x</m:r></span></i></m:e><m:sup><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>t</m:r></span></i></m:sup></m:sSup><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>.</m:r><m:r>p</m:r><m:r>(</m:r><m:r>x</m:r><m:r>; </m:r></span></i></m:e></m:nary><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>1</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>,
</m:r></span></i><m:sSub><m:sSubPr><span style='font-size:12.0pt;mso-ansi-font-size:
12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>2</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>,
</m:r></span></i><m:sSub><m:sSubPr><span style='font-size:12.0pt;mso-ansi-font-size:
12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>3</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>,
…, </m:r></span></i><m:sSub><m:sSubPr><span style='font-size:12.0pt;
mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>k</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>)
;</m:r><m:r>t</m:r><m:r>=1, 2, …, </m:r><m:r>k</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 249.75pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image012.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Untuk kontinu : </span><!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>μ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>t</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>=</m:r></span></i><m:nary><m:naryPr><m:limLoc
m:val="undOvr"/><span style='font-size:12.0pt;mso-ansi-font-size:12.0pt;
mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";mso-ascii-font-family:
"Cambria Math";mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:
"Times New Roman";font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>-∞</m:r></span></i></m:sub><m:sup><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>∞</m:r></span></i></m:sup><m:e><m:sSup><m:sSupPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>x</m:r></span></i></m:e><m:sup><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>t</m:r></span></i></m:sup></m:sSup></m:e></m:nary><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>.</m:r><m:r>f</m:r><m:r>(</m:r><m:r>x</m:r><m:r>
; </m:r></span></i><m:sSub><m:sSubPr><span style='font-size:12.0pt;
mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>1</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>,
</m:r></span></i><m:sSub><m:sSubPr><span style='font-size:12.0pt;mso-ansi-font-size:
12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>2</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>,
</m:r></span></i><m:sSub><m:sSubPr><span style='font-size:12.0pt;mso-ansi-font-size:
12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>3</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>,
…, </m:r></span></i><m:sSub><m:sSubPr><span style='font-size:12.0pt;
mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>k</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>)</m:r><m:r>dx</m:r><m:r>
;</m:r><m:r>t</m:r><m:r>=1, 2, …, </m:r><m:r>k</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -7.5pt; position: relative; top: 7.5pt;"><v:shape id="_x0000_i1025" style="height: 20.25pt; width: 262.5pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image013.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Momen populasi </span><!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>μ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>k</m:r></span></i></m:sub></m:sSub></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 12.75pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image014.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> biasanya merupakan fungsi dari </span><!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>1</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>,…,</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>k</m:r></span></i></m:sub></m:sSub></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 43.5pt;" type="#_x0000_t75">
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</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> katakanlah </span><!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>μ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>k</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>(</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>1</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>,…,</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>k</m:r></span></i></m:sub></m:sSub></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 60.75pt;" type="#_x0000_t75">
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</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">). Estimator metode momen <span style="mso-text-raise: -6.0pt; position: relative; top: 6.0pt;"><v:shape id="_x0000_i1025" o:ole="" style="height: 20.25pt; width: 45pt;" type="#_x0000_t75">
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</v:imagedata></v:shape><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1025"
DrawAspect="Content" ObjectID="_1427527721">
</o:OLEObject>
</xml><![endif]--></span>dari </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>(</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>1</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>,…,</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>k</m:r></span></i></m:sub></m:sSub></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 48.75pt;" type="#_x0000_t75">
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</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">) didapat dengan menyelesaikan sistem </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>(</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>1</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>,…,</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>k</m:r></span></i></m:sub></m:sSub></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 48.75pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image018.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">) dalam bentuk </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>(</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>m</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>1</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>,…,</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>m</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>k</m:r></span></i></m:sub></m:sSub></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 56.25pt;" type="#_x0000_t75">
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</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">).<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"> </span><!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>m</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>1</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>= </m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>μ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>1</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>(</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>1</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>,…,</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>k</m:r></span></i></m:sub></m:sSub></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 93.75pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image020.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">)<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> </span><!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>m</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>2</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>=
</m:r></span></i><m:sSub><m:sSubPr><span style='font-size:12.0pt;mso-ansi-font-size:
12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>μ</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>2</m:r></span></i></m:sub></m:sSub><m:d><m:dPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>1</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>,…,</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>k</m:r></span></i></m:sub></m:sSub></m:e></m:d></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 99pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image021.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> </span><!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>m</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>k</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>=
</m:r></span></i><m:sSub><m:sSubPr><span style='font-size:12.0pt;mso-ansi-font-size:
12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>μ</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>k</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'><m:r>(</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>1</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>,…,</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>k</m:r></span></i></m:sub></m:sSub></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 95.25pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image022.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">)<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Contoh 2.1:<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Misalkan<i>X<sub>1</sub>,…,X<sub>n </sub></i>adalah i.i.d binomial (<i>k, p</i>), yaitu,<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; text-align: justify; text-indent: 36.0pt;">
<sub><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><v:shape id="_x0000_i1026" o:ole="" style="height: 36pt; width: 152.25pt;" type="#_x0000_t75">
<v:imagedata o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image023.wmz">
</v:imagedata></v:shape><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1026"
DrawAspect="Content" ObjectID="_1427527723">
</o:OLEObject>
</xml><![endif]--></span></sub><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-text-raise: -12.0pt; position: relative; top: 12.0pt;">x= 0, 1, 2,…,k<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-text-raise: -12.0pt; position: relative; top: 12.0pt;">Disini diandaikan bahwa <i>k </i>dan
<i>p </i>kedua-duanya tidak diketahui.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-text-raise: -12.0pt; position: relative; top: 12.0pt;">Dengan menyamakan dua momen sampel pertama dan momen populasi didapat
sistem persamaan<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<!--[if gte msEquation 12]><m:oMathPara><m:oMath><m:acc><m:accPr><m:chr
m:val="̅"/><span style='font-size:12.0pt;mso-ansi-font-size:12.0pt;
mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";mso-ascii-font-family:
"Cambria Math";mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:
"Times New Roman";position:relative;top:3.0pt;mso-text-raise:-3.0pt;
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";position:relative;top:3.0pt;mso-text-raise:-3.0pt'><m:r>x</m:r></span></i></m:e></m:acc><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";position:relative;top:3.0pt;mso-text-raise:-3.0pt'><m:r>=</m:r><m:r>kp</m:r></span></i></m:oMath></m:oMathPara><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 36pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image024.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 108.0pt; margin-right: 0cm; margin-top: 0cm; text-align: justify; text-indent: 36.0pt;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><v:shape id="_x0000_i1027" o:ole="" style="height: 39pt; width: 132pt;" type="#_x0000_t75">
<v:imagedata o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image025.wmz">
</v:imagedata></v:shape><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1027"
DrawAspect="Content" ObjectID="_1427527724">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-text-raise: -12.0pt; position: relative; top: 12.0pt;">Yang harus diselesaikan untuk<i> k </i>dan
<i>p.<o:p></o:p></i></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-text-raise: -12.0pt; position: relative; top: 12.0pt;">Hasilnya </span><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-text-raise: -17.0pt; position: relative; top: 17.0pt;"><v:shape id="_x0000_i1028" o:ole="" style="height: 37.5pt; width: 113.25pt;" type="#_x0000_t75">
<v:imagedata o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image026.wmz">
</v:imagedata></v:shape><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1028"
DrawAspect="Content" ObjectID="_1427527725">
</o:OLEObject>
</xml><![endif]--> </span><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-text-raise: -12.0pt; position: relative; top: 12.0pt;">dan</span><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-text-raise: -14.0pt; position: relative; top: 14.0pt;"><v:shape id="_x0000_i1029" o:ole="" style="height: 33pt; width: 33pt;" type="#_x0000_t75">
<v:imagedata o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image027.wmz">
</v:imagedata></v:shape><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1029"
DrawAspect="Content" ObjectID="_1427527726">
</o:OLEObject>
</xml><![endif]--></span><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br /></div>
<div class="MsoListParagraph" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; mso-add-space: auto; mso-list: l8 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><b><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">C.<span style="font-family: 'Times New Roman'; font-size: 7pt; font-weight: normal; line-height: normal;">
</span></span></b><!--[endif]--><b><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Metode
Maksimum <i>LIKELIHOOD</i><o:p></o:p></span></b></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify; text-indent: 1.0cm;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Metode yang terbaik
untuk menentukan penaksiran titik sebuah parameter adalah metode kemungkinan
maksimum.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Misalkan X adalah peubah acak
kontinu(atau diskrit) dengan fungsi kepadatan peluang </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>f</m:r><m:r>(</m:r><m:r>x</m:r><m:r>;</m:r><m:r>θ</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 36pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image028.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">, dengan </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 6.75pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image002.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> adalah sebuah parameter yang tidak diketahui.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Misalkan X<sub>1</sub>, X<sub>2</sub>, …,
X<sub>n</sub> merupakan sampel acak berukuran n maka fungsi kemungkinan (<i>likelihood fuction</i>) dari sampel acak itu
adalah:<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<!--[if gte msEquation 12]><m:oMathPara><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>L</m:r></span></i><m:d><m:dPr><span style='font-size:
12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;font-family:
"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:
"Cambria Math";mso-bidi-font-family:"Times New Roman";font-style:italic;
mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:e></m:d><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:
"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>=</m:r><m:r>f</m:r></span></i><m:d><m:dPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:
12.0pt;font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>x</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>1</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>;</m:r><m:r>θ</m:r></span></i></m:e></m:d><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>∙</m:r><m:r>f</m:r></span></i><m:d><m:dPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:
12.0pt;font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>x</m:r></span></i></m:e><m:sub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>2</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>;</m:r><m:r>θ</m:r></span></i></m:e></m:d><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>∙…∙</m:r><m:r>f</m:r><m:r>(</m:r></span></i><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>x</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>n</m:r></span></i></m:sub></m:sSub><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>;</m:r><m:r>θ</m:r><m:r>)</m:r></span></i></m:oMath></m:oMathPara><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 195.75pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image029.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify; text-indent: 1.0cm;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Dalam hal ini, fungsi
kemungkinan adalah fungsi dari parameter yang tidak diketahui </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 6.75pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image002.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">. Biasanya untuk memudahkan
penganalisisa, fungsi kemungkinan </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>L</m:r></span></i><m:d><m:dPr><span style='font-size:
12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>θ</m:r></span></i></m:e></m:d></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 24pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image030.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> diberi ln.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify; text-indent: 1.0cm;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Penaksiran kemungkinan
maksimum dari </span><!--[if gte msEquation 12]><m:oMath><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:
"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>θ</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 6.75pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image002.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> adalah nilai </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>θ</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 6.75pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image002.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> yang memaksimumkan fungsi kemungkinan </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>L</m:r></span></i><m:d><m:dPr><span style='font-size:
12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style:
normal'><span lang=EN-US style='font-size:12.0pt;line-height:150%;
font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:"Times New Roman"'><m:r>θ</m:r></span></i></m:e></m:d><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r>.</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 26.25pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image031.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<br /></div>
<div class="MsoListParagraph" style="line-height: 150%; mso-list: l8 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><b><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">D.<span style="font-family: 'Times New Roman'; font-size: 7pt; font-weight: normal; line-height: normal;">
</span></span></b><!--[endif]--><b><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">ESTIMATOR
BAYES<o:p></o:p></span></b></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify; text-indent: 1.0cm;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Misalkan X<sub>1</sub>, X<sub>2,</sub>...,X<sub>n </sub>merupakan
sebuah sampel acak berukuran n dari distribusi yang mempunyai fungsi kepadatan peluangberbentuk
f (x ; </span><span lang="EN-US" style="font-family: "Cambria Math","serif"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: "Times New Roman";">𝜽</span><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">),
</span><span lang="EN-US" style="font-family: "Cambria Math","serif"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: "Times New Roman";">𝜽</span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-bidi-font-family:"Times New Roman"'>∈</span></i><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Times New Roman","serif";mso-ascii-font-family:
"Cambria Math"'><m:r>Ω</m:r></span></i><i style='mso-bidi-font-style:normal'><span
lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r>⊂</m:r><m:r><m:rPr><m:scr
m:val="script"/><m:sty m:val="bi"/></m:rPr><b style='mso-bidi-font-weight:
normal'>R</b></m:r></span></i><b style='mso-bidi-font-weight:normal'><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:12.0pt;
line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:
"Times New Roman";mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr
m:val="script"/><m:sty m:val="bi"/></m:rPr>. </m:r></span></i></b></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 51pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image032.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-weight: bold; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">dalam hal ini,
kita akan menentukan taksiran Bayes untuk parameter </span><span lang="EN-US" style="font-family: "Cambria Math","serif"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: "Times New Roman";">𝜽</span><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">.<b><o:p></o:p></b></span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Langkah-langkah
untuk menentukan taksiran Bayes bagi </span><span lang="EN-US" style="font-family: "Cambria Math","serif"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: "Times New Roman";">𝜽</span><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">adalah: <o:p></o:p></span></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; mso-list: l1 level1 lfo2; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">1.<span style="font-family: 'Times New Roman'; font-size: 7pt; line-height: normal;"> </span></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Tentukan
fungsi kepadatan peluang gabungan dari X<sub>1,</sub> X<sub>2,</sub>..., X<sub>n
</sub>(dinotasikan) dengan g (</span><!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman"'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><span
lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>x</m:r></span></m:e><m:sub><span lang=EN-US
style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>1</m:r></span></m:sub></m:sSub><sub><span lang=EN-US
style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>, </m:r></span></sub><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
vertical-align:sub'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><sub><span
lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>x</m:r></span></sub></m:e><m:sub><sub><span
lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>2</m:r></span></sub></m:sub></m:sSub><sub><span
lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr> </m:r></span></sub><span lang=EN-US style='font-size:
12.0pt;line-height:150%;font-family:"Cambria Math","serif";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty m:val="p"/></m:rPr>...,
</m:r></span><m:sSub><m:sSubPr><span style='font-size:12.0pt;mso-ansi-font-size:
12.0pt;mso-bidi-font-size:12.0pt;font-family:"Cambria Math","serif";
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman"'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><span
lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>x</m:r></span></m:e><m:sub><span lang=EN-US
style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>n</m:r></span></m:sub></m:sSub></m:oMath><![endif]--><!--[if !msEquation]--><span lang="EN-US" style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 59.25pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\ASUSX4~1\AppData\Local\Temp\msohtmlclip1\01\clip_image005.png">
</v:imagedata></v:shape></span><!--[endif]--><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">) yang didefinisikan sebagai berikut :<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-top: 12.0pt; mso-add-space: auto; text-align: justify;">
<span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">g(</span><!--[if gte msEquation 12]><m:oMath><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman"'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><span
lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>x</m:r></span></m:e><m:sub><span lang=EN-US
style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>1</m:r></span></m:sub></m:sSub><sub><span lang=EN-US
style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>, </m:r></span></sub><m:sSub><m:sSubPr><span
style='font-size:12.0pt;mso-ansi-font-size:12.0pt;mso-bidi-font-size:12.0pt;
font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
vertical-align:sub'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><sub><span
lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>x</m:r></span></sub></m:e><m:sub><sub><span
lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman"'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
m:val="p"/></m:rPr>2</m:r></span></sub></m:sub></m:sSub><sub><span
lang=EN-US style='font-size:12.0pt;line-height:150%;font-family:"Cambria Math","serif";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
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Anonymoushttp://www.blogger.com/profile/12687144285653136583noreply@blogger.com0tag:blogger.com,1999:blog-1804877733213183710.post-66013489295924957572013-03-07T00:22:00.000-08:002013-03-07T00:22:58.720-08:00Model Pembelajaran VAK<!--[if !mso]>
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<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l13 level1 lfo1; tab-stops: 0in; text-align: justify; text-indent: -.25in;">
<b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">A.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Pengertian Model Pembelajaran <i>Visual
Auditori Kinestetik</i> (VAK)</span></b><b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></b></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 21.3pt; mso-add-space: auto; text-align: justify; text-indent: 28.35pt;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Model pembelajaran <i>Visual
Auditori Kinestetik</i> (VAK) adalah strategi pembelajaran yang menekankan
bahwa belajar haruslah memanfaatkan alat indra yang dimiliki siswa. Menurut
Nurhasanah (2010) pembelajaran dengan model pembelajaran <i>Visual Auditori
Kinestetik</i> (VAK) adalah suatu pembelajaran yang memanfaatkan gaya belajar
setiap individu dengan tujuan agar semua kebiasaan belajar siswa akan
terpenuhi. Jadi dapat disimpulkan Model pembelajaran <i>Visual Auditori
Kinestetik</i> (VAK) adalah model pembelajaran yang mengkombinasikan ketiga
gaya belajar (melihat, mendengar, dan bergerak) setiap individu dengan cara
memanfaatkan potensi yang telah dimiliki dengan melatih dan mengembangkannya,
agar semua kebiasaan belajar siswa terpenuhi.</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">
(Sugiyanto. 2008:101)</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 21.3pt; mso-add-space: auto; text-align: justify; text-indent: 28.35pt;">
<i style="mso-bidi-font-style: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">VAK (Visual, Auditory, Kinesthetic) </span></i><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">merupakan tiga modalitas yang
dimiliki oleh setiap manusia. Ketiga modalitas tersebut kemudian dikenal
sebagai gaya belajar. Gaya belajar merupakan kombinasi dari bagaimana seseorang
dapat menyerap dan kemudian mengatur serta mengolah informasi, (Deporter, 1999:112).
</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 21.3pt; mso-add-space: auto; text-align: justify; text-indent: 28.35pt;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Model pembelajaran <i style="mso-bidi-font-style: normal;">VAK</i> adalah model pembelajaran yang
mengoptimalkan ketiga modalitas belajar tersebut untuk menjadikan si belajar
merasa nyaman. Model pembelajaran <i style="mso-bidi-font-style: normal;">VAK</i>
ini merupakan anak dari model pembelajaran <i style="mso-bidi-font-style: normal;">Quantum</i>
yang berprinsip untuk menjadikan situasi belajar menjadi lebih nyaman dan
menjanjikan kesuksesan bagi pebelajarnya di masa<span style="mso-spacerun: yes;"> </span>depan.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 21.3pt; mso-add-space: auto; text-align: justify; text-indent: 28.35pt;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Pembelajaran dengan model ini mementingkan
pengalaman belajar secara langsung dan menyenangkan bagi siswa. Pengalaman
belajar secara langsung dengan cara belajar dengan mengingat <i style="mso-bidi-font-style: normal;">(Visual)</i>, belajar dengan mendengar <i style="mso-bidi-font-style: normal;">(Auditory)</i>, dan belajar dengan gerak dan
emosi <i style="mso-bidi-font-style: normal;">(Kinestethic)</i> (DePorter dkk.
1999). Dan menurut Herdian, model pembelajaran <i style="mso-bidi-font-style: normal;">VAK</i> merupakan suatu model pembelajaran yang menganggap pembelajaran
akan efektif dengan memperhatikan ketiga hal tersebut (<i style="mso-bidi-font-style: normal;">Visual, Auditory, Kinestethic)</i>, dan dapat diartikan bahwa
pembelajaran dilaksanakan dengan memanfaatkan potensi siswa yang telah
dimilikinya dengan melatih dan mengembangkannya. Sehingga dapat disimpulkan
bahwa model ini memberikan kesempatan kepada siswa untuk belajar langsung
dengan bebas menggunakan modalitas yang dimilikinya untuk mencapai pemahaman
dan pembelajaran yang efektif. </span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 21.3pt; mso-add-space: auto; text-align: justify; text-indent: 28.35pt;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Pemanfaatan dan pengembangan potensi
siswa dalam pembelajaran ini harus memperhatikan kebutuhan dan gaya belajar
siswa. Bagi siswa <i style="mso-bidi-font-style: normal;">visual</i>, akan mudah
belajar dengan bantuan media dua dimensi seperti menggunakan grafik, gambar,
chart, model, dan semacamnya. Siswa <i style="mso-bidi-font-style: normal;">auditory</i>,
akan lebih mudah belajar melalui pendengaran atau sesuatu yang diucapkan atau
dengan media audio. Sedangkan siswa dengan tipe <i style="mso-bidi-font-style: normal;">kinestethic</i>, akan mudah belajar sambil melakukan kegiatan tertentu,
misalnya eksperimen, bongkar pasang, membuat model, memanipulasi benda, dan
sebagainya yang berhubungan dengan system gerak. (</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-fareast-font-family: "Times New Roman";">Suyatno.
2009</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">:60)</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 21.3pt; mso-add-space: auto; text-align: justify; text-indent: 28.35pt;">
<br /></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l13 level1 lfo1; tab-stops: 0in; text-align: justify; text-indent: -.25in;">
<b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">B.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Prinsip </span></b><b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Model Pembelajaran <i>Visual
Auditori Kinestetik</i> (VAK)</span></b><b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></b></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Menurut Rose Colin dan Nicholl
(2002:130) </span></div>
<div class="MsoListParagraph" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l2 level1 lfo10; tab-stops: .25in; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">1)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-weight: bold; mso-fareast-font-family: "Times New Roman";">Gaya <i>visual</i> (belajar dengan
cara melihat)</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 35.45pt; margin-right: 0in; margin-top: 0in; tab-stops: 35.45pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">
Belajar harus menggunakan indra mata melalui mengamati,
menggambar, mendemonstrasikan, membaca, menggunakan media dan alat peraga.
Seorang siswa lebih suka melihat gambar atau diagram, suka pertunjukan,
peragaan atau menyaksikan video. Bagi siswa yang bergaya belajar <i>visual</i>,
yang memegang peranan penting adalah mata/penglihatan (<i>visual</i>)<i>.</i>
Dalam hal ini metode pengajaran yang digunakan guru sebaiknya lebih banyak
dititik beratkan pada peragaan/media, ajak siswa ke objek-objek yang berkaitan
dengan pelajaran tersebut, atau dengan cara menunjukkan alat peraganya langsung
pada siswa atau menggambarkannya di papan tulis.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 35.45pt; margin-right: 0in; margin-top: 0in; tab-stops: 35.45pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-tab-count: 2;"> </span>Ciri-ciri siswa yang
lebih dominan memiliki gaya belajar <i>visual</i> misalnya lirikan mata ke atas
bila berbicara dan berbicara dengan cepat. Anak yang mempunyai gaya belajar <i>visual</i>
harus melihat bahasa tubuh dan ekspresi muka gurunya untuk mengerti materi
pelajaran. Siswa cenderung untuk duduk di depan agar dapat melihat dengan
jelas. Siswa berpikir menggunakan gambar-gambar di otak dan belajar lebih cepat
dengan menggunakan tampilan-tampilan <i>visual</i>, seperti diagram, buku
pelajaran bergambar, dan video. Di dalam kelas anak <i>visual</i> lebih suka
mencatat sampai detil-detilnya untuk mendapatkan informasi. </span></div>
<div class="MsoListParagraph" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 35.45pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l2 level1 lfo10; tab-stops: 35.45pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">2)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-weight: bold; mso-fareast-font-family: "Times New Roman";">Gaya <i>auditori</i> (belajar
dengan cara mendengar)</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 35.45pt; margin-right: 0in; margin-top: 0in; tab-stops: 35.45pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-weight: bold; mso-fareast-font-family: "Times New Roman";"> <b> </b></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Belajar haruslah mendengarkan,
menyimak, berbicara, presentasi, mengemukakan pendapat, gagasan, menanggapi dan
beragumentasi. Seorang siswa lebih suka mendengarkan kaset audio,
ceramah-kuliah, diskusi, debat dan instruksi (perintah) verbal. Alat rekam
sangat membantu pembelajaran pelajar tipe <i>auditori</i>. Dr. Wenger (dalam
Rose Colin dan Nicholl, (2002:143) merekomendasikan setelah membaca sesuatu
yang baru, deskripsikan dan ucapkan apa yang sudah dibaca tadi sambil menutup
mata dengan suara lantang. Alasannya setelah dibaca, divisualisasikan (ketika
mengingat dengan mata tertutup) dan dideskripsikan dengan lantang, maka secara
otomatis telah belajar dan menyimpannya dalam multi-sensori. </span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 35.45pt; margin-right: 0in; margin-top: 0in; tab-stops: 35.45pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-tab-count: 2;"> </span>Ciri-ciri siswa yang
lebih dominan memiliki gaya belajar <i>auditori</i> misalnya lirikan mata ke
arah kiri/kanan, mendatar bila berbicara dan sedang-sedang saja. Untuk itu,
guru sebaiknya harus memperhatikan siswanya hingga ke alat pendengarannya. Anak
yang mempunyai gaya belajar <i>auditori</i> dapat belajar cepat dengan
menggunakan diskusi verbal dan mendengarkan apa yang guru katakan. Anak <i>auditori</i>
mencerna makna yang disampaikan melalui tone, suara, <i>pitch</i> (tinggi
rendahnya), kecepatan berbicara dan hal-hal <i>auditori</i> lainnya. Informasi
tertulis terkadang mempunyai makna yang minim bagi anak <i>auditori</i>.
Anak-anak seperti ini biasanya dapat menghafal lebih cepat dengan membaca teks
dengan keras dan mendengarkan kaset.</span></div>
<div class="MsoListParagraph" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 35.45pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l2 level1 lfo10; tab-stops: 35.45pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">3)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-weight: bold; mso-fareast-font-family: "Times New Roman";">Gaya <i>Kinestetik</i> (belajar
dengan cara bergerak, bekerja dan menyentuh)</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 35.45pt; margin-right: 0in; margin-top: 0in; tab-stops: 35.45pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-weight: bold; mso-fareast-font-family: "Times New Roman";"> </span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Belajar melalui aktivitas fisik dan
keterlibatan langsung. Seorang siswa lebih suka menangani, bergerak, menyentuh
dan merasakan/mengalami sendiri, gerakan tubuh (<i>hands-on,</i> <i>aktivitas
fisik</i>). Bagi siswa <i>kinestetik </i>belajar itu haruslah mengalami dan
melakukan. Ciri-ciri siswa yang lebih dominan memiliki gaya belajar <i>kinestetik</i>
misalnya lirikan mata ke bawah bila berbicara dan berbicara lebih lambat. Anak
seperti ini sulit untuk duduk diam berjam-jam karena keinginan mereka untuk
beraktifitas dan eksplorasi sangatlah kuat. Siswa yang bergaya belajar ini
belajarnya melalui gerak dan sentuhan. </span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 35.45pt; margin-right: 0in; margin-top: 0in; tab-stops: 35.45pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-tab-count: 2;"> </span>Modalitas <i style="mso-bidi-font-style: normal;">visual</i> merupakan gaya belajar bagi siswa
yang suka menghafal, gaya belajar <i style="mso-bidi-font-style: normal;">auditory</i>
merupakan gaya belajar siswa dengan mendengar, sementara gaya belajar <i style="mso-bidi-font-style: normal;">kinestethic</i> adalah gaya belajar siswa
dengan melakukan sesuatu hal atau praktikkum. DePorter menyebutkan banyak ciri
perilaku lain yang dapat dilihat untuk mengenali modalitas belajar siswa.
Berikut ciri-ciri siswa dalam ketiga modalitas belajar. (</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Janghyunita,
2012:2</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">)</span></div>
<div style="line-height: 150%; margin-left: .5in; mso-list: l12 level1 lfo2; text-indent: -.25in;">
<span style="font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">ü<span style="font: 7.0pt "Times New Roman";">
</span></span></span>Ciri orang <em>visual</em>, yakni<span lang="IN" style="mso-ansi-language: IN;">;</span></div>
<div style="line-height: 150%; margin-left: 49.65pt; mso-list: l11 level1 lfo4; text-indent: -.25in;">
<span style="mso-list: Ignore;">a)<span style="font: 7.0pt "Times New Roman";"> </span></span>rapi
dan teratur</div>
<div style="line-height: 150%; margin-left: 49.65pt; mso-list: l11 level1 lfo4; text-indent: -.25in;">
<span style="mso-list: Ignore;">b)<span style="font: 7.0pt "Times New Roman";"> </span></span>berbicara
dengan cepat</div>
<div style="line-height: 150%; margin-left: 49.65pt; mso-list: l11 level1 lfo4; text-indent: -.25in;">
<span style="mso-list: Ignore;">c)<span style="font: 7.0pt "Times New Roman";"> </span></span><span style="mso-spacerun: yes;"> </span>perencana dan mengatur jangka panjang yang
baik,</div>
<div style="line-height: 150%; margin-left: 49.65pt; mso-list: l11 level1 lfo4; text-indent: -.25in;">
<span style="mso-list: Ignore;">d)<span style="font: 7.0pt "Times New Roman";"> </span></span><span style="mso-spacerun: yes;"> </span>teliti terhadap detail</div>
<div style="line-height: 150%; margin-left: 49.65pt; mso-list: l11 level1 lfo4; text-indent: -.25in;">
<span style="mso-list: Ignore;">e)<span style="font: 7.0pt "Times New Roman";"> </span></span>mementingkan
penampilan, baik dalam hal pakaian maupun prestasi</div>
<div style="line-height: 150%; margin-left: 49.65pt; mso-list: l11 level1 lfo4; text-indent: -.25in;">
<span style="mso-list: Ignore;">f)<span style="font: 7.0pt "Times New Roman";"> </span></span>pengeja
yang baik dan dapat melihat kata-kata yang sebenarnya dalam pikiran mereka</div>
<div style="line-height: 150%; margin-left: 49.65pt; mso-list: l11 level1 lfo4; text-indent: -.25in;">
<span style="mso-list: Ignore;">g)<span style="font: 7.0pt "Times New Roman";"> </span></span>mengingat
apa yang dilihat, daripada yang didengar</div>
<div style="line-height: 150%; margin-left: 49.65pt; mso-list: l11 level1 lfo4; text-indent: -.25in;">
<span style="mso-list: Ignore;">h)<span style="font: 7.0pt "Times New Roman";"> </span></span><span style="mso-spacerun: yes;"> </span>mengingat apa yang dilihat, daripada yang
didengar,</div>
<div style="line-height: 150%; margin-left: 49.65pt; mso-list: l11 level1 lfo4; text-indent: -.25in;">
<span style="mso-list: Ignore;">i)<span style="font: 7.0pt "Times New Roman";">
</span></span>mengingat dengan asosiasi visual</div>
<div style="line-height: 150%; margin-left: 49.65pt; mso-list: l11 level1 lfo4; text-indent: -.25in;">
<span style="mso-list: Ignore;">j)<span style="font: 7.0pt "Times New Roman";">
</span></span>biasanya tidak terganggu oleh keributan</div>
<div style="line-height: 150%; margin-left: 49.65pt; mso-list: l11 level1 lfo4; text-indent: -.25in;">
<span style="mso-list: Ignore;">k)<span style="font: 7.0pt "Times New Roman";"> </span></span>mempunyai
masalah untuk mengingat instruksi verbal kecuali jika ditulis, dan sering
meminta bantuan orang untuk mengulangnya</div>
<div style="line-height: 150%; margin-left: 49.65pt; mso-list: l11 level1 lfo4; text-indent: -.25in;">
<span style="mso-list: Ignore;">l)<span style="font: 7.0pt "Times New Roman";">
</span></span><span lang="IN" style="mso-ansi-language: IN;">m</span>embaca
cepat dan tekun</div>
<div style="line-height: 150%; margin-left: 49.65pt; mso-list: l11 level1 lfo4; text-indent: -.25in;">
<span style="mso-list: Ignore;">m)<span style="font: 7.0pt "Times New Roman";"> </span></span>lebih
suka membaca daripada dibacakan.</div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l12 level1 lfo2; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: Wingdings; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">ü<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Ciri orang <b style="mso-bidi-font-weight: normal;"><i style="mso-bidi-font-style: normal;">auditory</i>,</b> yaitu</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l10 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">a)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">senang berbicara kepada diri sendiri</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l10 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">b)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">mudah terganggu oleh keributan</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l10 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">c)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">menggerakkan bibir/bersuara saat
membaca</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l10 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">d)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">dapat mengulang dan menirukan
kembali nada-nada, birama, dan warna suara</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l10 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">e)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">sulit untuk menulis</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l10 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">f)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">tetapi hebat dalam bercerita</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l10 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">g)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">berbicara dalam irama yang terpola</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l10 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">h)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">belajar dengan mendengarkan</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l10 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">i)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">mengingat apa yang didiskusikan/dilisankan daripada yang
dilihat</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l10 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">j)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">suka berbicara</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l10 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">k)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">berdiskusi</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l10 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">l)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">menjelaskan sesuatu dengan panjang lebar</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l10 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">m)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">bermasalah dengan hal-hal yang
melibatkan visualisasi, seperti memotong bagian-bagian hingga sesuai satu sama
lain</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l10 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">n)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">lebih pandai mengeja dengan keras
daripada menuliskannya</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l10 level1 lfo5; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">o)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">lebih suka gurauan lisan daripada
membaca komik.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l12 level1 lfo2; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: Wingdings; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">ü<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Ciri orang <b style="mso-bidi-font-weight: normal;"><i style="mso-bidi-font-style: normal;">kinestethic</i>,</b> yaitu </span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l6 level1 lfo6; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">a)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">berbicara
dengan perlahan</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l6 level1 lfo6; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">b)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">menanggapi
perhatian fisik</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l6 level1 lfo6; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">c)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">menyentuh
orang utnuk mendapatkan perhatian mereka</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l6 level1 lfo6; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">d)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">berdiri
dekat ketika berbicara dengan orang</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l6 level1 lfo6; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">e)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">selalu
berorientasi pada fisik dan banyak bergerak</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l6 level1 lfo6; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">f)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">mempunyai
perkembangan awal otot-otot yang besar</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l6 level1 lfo6; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">g)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">belajar
melalui memanipulasi dan praktik</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l6 level1 lfo6; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">h)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">menggunakan
jari isyarat tubuh</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l6 level1 lfo6; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">i)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">tidak dapat duduk diam
dalam waktu yang lama</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l6 level1 lfo6; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">j)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">tidak mengingat
geografi, kecuali jika mereka memang telah berada ditempat itu</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l6 level1 lfo6; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">k)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">menggunakan
kata-kata yang mengandung aksi</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l6 level1 lfo6; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">l)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">menyukai buku-buku yang
berorientasi pada plot-mereka mencerminkan aksi dengan gerak tubuh saat membaca</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l6 level1 lfo6; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">m)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">kemungkinan
tulisannya jelek</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l6 level1 lfo6; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">n)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">ingin
melakukan segala sesuatu</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l6 level1 lfo6; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">o)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">menyukai permainan yang
menyibukkan.</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: .5in; text-align: justify; text-indent: .5in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Dengan
mengenali ciri-ciri ketiga modalitas di atas maka guru akan dapat memperhatikan
situasi belajar yang perlu diciptakan untuk menjadikan siswa dengan modalitas
yang berbeda merasa nyaman. Setelah kenyamanan terwujud akan dapat menjadikan
siswa mudah dalam menerima materi pelajaran dan pembelajaran yang efektif akan
dapat tercapai. Ketiga modalitas tersebut pasti dimiliki oleh setiap manusia,
hanya saja ada yang berkembang dengan satu modalitas dan ada pula yang
berkembang dengan ketiganya dalam porsi yang hampir sama. Pembelajaran dengan
model <i style="mso-bidi-font-style: normal;">VAK</i> ini membantu para guru
untuk memudahkan dalam penyampaian materi dan memberikan kenyamanan bagi siswa
dalam belajar di kelas.(</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Agus firdaus, 2011: 4</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">) </span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"></span></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-left: 0in; mso-add-space: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l13 level1 lfo1; tab-stops: 0in; text-align: justify; text-indent: -.25in;">
<b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">C.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Kelebihan dan Kekurangan
</span></b><b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Model
Pembelajaran <i>Visual Auditori Kinestetik</i> (VAK)</span></b><b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></b></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 21.3pt; mso-add-space: auto; text-align: justify; text-indent: 28.35pt;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Kelebihan
dan kelemahan</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">
Setiap model pembelajaran memiliki kelebihan dan kelemahan, tidak terkecuali
model pembelajaran <i>Visual Auditori Kinestetik</i> (VAK) juga memiliki
kelebihan dan kelemahan diantaranya sebagai berikut.</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l5 level1 lfo7; tab-stops: 0in 13.5pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">1)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-weight: bold; mso-fareast-font-family: "Times New Roman";">Kelebihan
Model Pembelajaran <i>VAK</i></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; tab-stops: 0in 13.5pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Kelebihan model pembelajaran <i>Visual
Auditori Kinestetik</i> (VAK) adalah sebagai berikut.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 1.0in; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l7 level1 lfo8; tab-stops: 0in 13.5pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Pembelajaran akan lebih efektif, karena mengkombinasikan
ketiga gaya belajar.</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 1.0in; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l7 level1 lfo8; tab-stops: 0in 13.5pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Mampu melatih dan mengembangkan potensi siswa yang telah
dimiliki oleh pribadi masing-masing.</span></div>
<div style="margin-left: 1.0in; mso-list: l7 level1 lfo8; text-indent: -.25in;">
<span style="mso-list: Ignore;">c.<span style="font: 7.0pt "Times New Roman";">
</span></span><span lang="IN" style="mso-ansi-language: IN;">M</span>emunculkan
suasana belajar yang lebih baik, menarik dan efektif</div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 1.0in; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l7 level1 lfo8; tab-stops: 0in 13.5pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">d.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Memberikan pengalaman langsung kepada siswa.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 1.0in; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l7 level1 lfo8; tab-stops: 0in 13.5pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">e.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Mampu melibatkan siswa secara maksimal dalam menemukan dan
memahami suatu konsep melalui kegiatan fisik seperti demonstrasi, percobaan,
observasi, dan diskusi aktif.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 1.0in; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l7 level1 lfo8; tab-stops: 0in 13.5pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">f.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Mampu menjangkau setiap gaya pembelajaran siswa.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 1.0in; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l7 level1 lfo8; tab-stops: 0in 13.5pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">g.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Siswa yang memiliki kemampuan bagus tidak akan terhambat
oleh siswa yang lemah dalam belajar karena model ini mampu melayani kebutuhan
siswa yang memiliki kemampuan di atas rata-rata.</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l5 level1 lfo7; tab-stops: 0in 13.5pt 155.95pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">2)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-weight: bold; mso-fareast-font-family: "Times New Roman";">Kelemahan
Model Pembelajaran VAK</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 35.45pt; margin-right: 0in; margin-top: 0in; tab-stops: 35.45pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Kelemahan
dari model pembelajaran <i>Visual Auditori Kinestetik</i> (VAK) yaitu tidak
banyak orang mampu mengkombinasikan ketiga gaya belajar tersebut. Sehingga
orang yang hanya mampu menggunakan satu gaya belajar, hanya akan mampu
menangkap materi jika menggunakan metode yang lebih memfokuskan kepada salah
satu gaya belajar yang didominasi. (</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Janghyunita, 2012:3</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">)</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 35.45pt; margin-right: 0in; margin-top: 0in; tab-stops: 35.45pt; text-align: justify;">
<br /></div>
<div class="MsoListParagraph" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l13 level1 lfo1; tab-stops: 0in; text-align: justify; text-indent: -.25in;">
<b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">D.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Langkah-langkah </span></b><b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Model Pembelajaran <i>Visual
Auditori Kinestetik</i> (VAK)</span></b><b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></b></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; text-align: justify; text-indent: .5in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">langkah-langkah
dalam pembelajaran <i style="mso-bidi-font-style: normal;">VAK</i> hampir sama
dengan sintaks pada model pembelajaran <i style="mso-bidi-font-style: normal;">SAVI
(Somatik, Auditorial, Visual, dan Intelektual)</i>. Dapat disajikan sintaks
pembelajaran <i style="mso-bidi-font-style: normal;">VAK </i>sebagai berikut.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; text-align: justify; text-indent: .5in;">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l9 level1 lfo3; tab-stops: 42.55pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">1)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Tahap persiapan (kegiatan
pendahuluan)</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 35.45pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; tab-stops: 0in; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-tab-count: 1;"> </span><span style="mso-tab-count: 1;"> </span>Pada kegiatan pendahuluan guru
memberikan motivasi untuk membangkitkan minat siswa dalam belajar, memberikan
perasaan positif mengenai pengalaman belajar yang akan datang kepada siswa, dan
menempatkan mereka dalam situasi optimal untuk menjadikan siswa lebih siap
dalam menerima pelajaran.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l9 level1 lfo3; tab-stops: 42.55pt 56.7pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">2)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Tahap Penyampaian (kegiatan inti
pada eksplorasi)</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 35.45pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; tab-stops: 0in; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-tab-count: 1;"> </span><span style="mso-tab-count: 1;"> </span>Pada kegiatan inti guru mengarahkan
siswa untuk menemukan materi pelajaran yang baru secara mandiri, menyenangkan,
relevan, melibatkan pancaindera, yang sesuai dengan gaya belajar <i style="mso-bidi-font-style: normal;">VAK</i>. Tahap ini biasa disebut eksplorasi.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l9 level1 lfo3; tab-stops: 42.55pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">3)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Tahap Pelatihan (kegiatan inti pada
elaborasi)</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 35.45pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; tab-stops: 0in; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-tab-count: 1;"> </span><span style="mso-tab-count: 1;"> </span>Pada tahap pelatihan guru membantu
siswa untuk mengintegrasi dan menyerap pengetahuan serta keterampilan baru
dengan berbagai cara yang disesuaikan dengan gaya belajar <i style="mso-bidi-font-style: normal;">VAK</i>.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l9 level1 lfo3; tab-stops: 42.55pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">4)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Tahap penampilan hasil (kegiatan
inti pada konfirmasi)</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 35.45pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; tab-stops: 0in; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-tab-count: 2;"> </span>Tahap
penampilan hasil merupakan tahap seorang guru membantu siswa dalam menerapkan
dan memperluas pengetahuan maupun keterampilan baru yang mereka dapatkan, pada
kegiatan belajar sehingga hasil belajar mengalami peningkatan. (</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Ngalimun,
2012:76</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">)</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 35.45pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; tab-stops: 0in; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-tab-count: 2;"> </span>Media-media
yang<span style="mso-spacerun: yes;"> </span>dapat digunakan adalah media segala
jenis media yang dapat diaplikasikan dalam pembelajaran VAK. Hal yang perlu
diperhatikan adalah media yang digunakan harus dapat memenuhi ketiga modalitas
belajar. Siswa dengan modalitas belajar <i style="mso-bidi-font-style: normal;">visual</i>
dapat dibantu dengan media gambar, poster, grafik, dsb. Siswa dengan modalitas
belajar <i style="mso-bidi-font-style: normal;">auditory</i> dibantu dengan media
suara atau musik-musik yang dapat merangsang minat belajar atau memberikan
kesan menyenangkan, rileks, dan nyaman bagi siswa, sementara bagi siswa <i style="mso-bidi-font-style: normal;">kinesthetic</i> diperlukan media-media
pembelajaran yang dapat mengoptimalkan fungsi gerak siswa. Namun pembelajaran
juga dapat dikemas dengan mengintegrasikan ketigamodalitas dengan menggunakan
media audio visual yang dimodivikasi dengan kegiatan game atau kuis yang
membebrikan kesempatan bagi siswa kinestetik.(</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">
Meier, Dave. 2005:103</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">)</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 35.45pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; tab-stops: 0in; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l13 level1 lfo1; tab-stops: 0in; text-align: justify; text-indent: -.25in;">
<b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">E.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Aplikasi </span></b><b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Model Pembelajaran <i>Visual
Auditori Kinestetik</i> (VAK)</span></b><b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></b></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; tab-stops: 0in; text-align: justify; text-indent: 21.25pt;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Grinder (dalam Rose Colin dan
Nicholl, 2002:132) menyebutkan mereka yang memiliki HV (Hanya <i>Visual</i>),
HS (Hanya <i>Auditori</i>), HK (Hanya <i>Kinestetik</i>). Kombinasi dari ketiga
gaya belajar tersebut di dalam proses pembelajaran matematika contohnya.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l3 level1 lfo9; tab-stops: 0in 14.2pt 35.45pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: Wingdings; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">Ø<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Membaca LKS dan memperhatikan guru
dalam penyampaian konsep (sudah melihatnya).</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l3 level1 lfo9; tab-stops: 0in 14.2pt 35.45pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: Wingdings; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">Ø<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Menyusun pertanyaan dan merekam jawaban
dari teman yang melakukan presentasi (sudah mendengarnya).</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l3 level1 lfo9; tab-stops: 0in 14.2pt 35.45pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: Wingdings; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">Ø<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Menulis dan mencatat butir-butir
penting hasil presentasi yang disampaikan teman (sudah menanganinya secara
fisik).</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-left: 21.3pt; mso-add-space: auto; text-align: justify;">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoNormalTable" style="border-collapse: collapse; border: none; margin-left: 5.4pt; mso-border-alt: solid windowtext .5pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-table-layout-alt: fixed; mso-yfti-tbllook: 1184; width: 529px;">
<tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;">
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 30.3pt;" valign="top" width="40">
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: center;">
<b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">No</span></b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.3pt;" valign="top" width="130">
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: center;">
<b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Tahap</span></b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 155.9pt;" valign="top" width="208">
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: center;">
<b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Kegiatan Guru</span></b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
</td>
<td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 113.4pt;" valign="top" width="151">
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: center;">
<b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Kegiatan Siswa</span></b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
</td>
</tr>
<tr style="mso-yfti-irow: 1;">
<td style="border-bottom: none; border-left: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; border-top: none; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 30.3pt;" valign="top" width="40">
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: center;">
<b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">A</span></b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
</td>
<td style="border-right: solid windowtext 1.0pt; border: none; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.3pt;" valign="top" width="130">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Persiapan </span></b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
</td>
<td style="border-right: solid windowtext 1.0pt; border: none; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 155.9pt;" valign="top" width="208">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Guru mempersiapkan materi mengenai menghitung luas dan
keliling persegi dan persegi panjang dengan satuan tak baku dan baku; bahan,
alat dan perangkat yang digunakan dalam proses pembelajaran.</span></div>
</td>
<td style="border-right: solid windowtext 1.0pt; border: none; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 113.4pt;" valign="top" width="151">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Siswa mempersiapkan bahan dan perangkat yang digunakan
dalam proses pembelajaran <i>(kinestetik)</i></span></div>
</td>
</tr>
<tr style="height: 127.6pt; mso-yfti-irow: 2;">
<td style="border-bottom: none; border-left: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; border-top: none; height: 127.6pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 30.3pt;" valign="top" width="40"><br /></td>
<td style="border-right: solid windowtext 1.0pt; border: none; height: 127.6pt; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.3pt;" valign="top" width="130"><br /></td>
<td style="border-right: solid windowtext 1.0pt; border: none; height: 127.6pt; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 155.9pt;" valign="top" width="208">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Guru melakukan tes awal tentang materi menghitung luas dan
keliling persegi dan persegi panjang dengan satuan tak baku dan baku untuk
menentukan skor dasar siswa.</span></div>
</td>
<td style="border-right: solid windowtext 1.0pt; border: none; height: 127.6pt; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 113.4pt;" valign="top" width="151">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Siswa mengerjakan tes awal tentang materi menghitung luas
dan keliling persegi dan persegi panjang dengan satuan tak baku dan
baku yang diberikan guru <i>(kinestetik).</i></span></div>
</td>
</tr>
<tr style="mso-yfti-irow: 3;">
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext 1.0pt; padding: 0in 5.4pt 0in 5.4pt; width: 30.3pt;" valign="top" width="40"><br /></td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.3pt;" valign="top" width="130"><br /></td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 155.9pt;" valign="top" width="208">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Guru membagi siswa menjadi beberapa kelompok. Setiap
kelompok terdiri dari 4-5 orang yang heterogen.</span></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 113.4pt;" valign="top" width="151">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Siswa membentuk kelompok belajar yang terdiri dari 4-5
orang yang heterogen <i>(kinestetik).</i></span></div>
</td>
</tr>
<tr style="mso-yfti-irow: 4;">
<td style="border-bottom: none; border-left: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; border-top: none; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 30.3pt;" valign="top" width="40">
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: center;">
<b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">B</span></b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.3pt;" valign="top" width="130">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 14.2pt; text-align: justify;">
<b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Presentasi Kelas</span></b><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: .3pt; text-align: justify; text-indent: -4.8pt;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> (1) Pendahuluan</span></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 155.9pt;" valign="top" width="208">
<div class="MsoNormalCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; text-align: justify;">
<br /></div>
<div class="MsoNormalCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Guru melakukan apersepsi, yaitu dengan memunculkan rasa
ingin tahu siswa dengan menggunakan media gambar bangun persegi dan persegi
panjang, sehingga membantu siswa dalam berimajinasi dalam kehidupan
sehari-hari.</span></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 113.4pt;" valign="top" width="151">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Siswa mengamati gambar bangun persegi dan persegi panjang,
kemudian menggambar kembali gambar persegi dan persegi panjang tersebut pada
buku catatan. (<i>visual </i>dan <i>kinestetik).</i></span></div>
</td>
</tr>
<tr style="mso-yfti-irow: 5;">
<td style="border-bottom: none; border-left: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; border-top: none; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 30.3pt;" valign="top" width="40">
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: center;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: center;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: center;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: center;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: center;">
<br /></div>
</td>
<td style="border-right: solid windowtext 1.0pt; border: none; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.3pt;" valign="top" width="130">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: .3pt; text-align: justify; text-indent: -13.8pt;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";"> (2) Pengembangan</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: .3pt 14.2pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<br /></div>
</td>
<td style="border-right: solid windowtext 1.0pt; border: none; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 155.9pt;" valign="top" width="208">
<div class="MsoNormalCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Guru memotivasi siswa dalam mempelajari konsep tentang
luas dan keliling persegi dan persegi panjang dengan satuan tak baku
dan baku. </span></div>
</td>
<td style="border-right: solid windowtext 1.0pt; border: none; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 113.4pt;" valign="top" width="151">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Siswa mendengarkan dan menyimak motivasi yang diberikan
guru tentang konsep luas dan keliling persegi dan persegi panjang dengan
satuan tak baku dan baku <i>(visual </i>dan <i>auditori).</i></span></div>
</td>
</tr>
<tr style="mso-yfti-irow: 6;">
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext 1.0pt; padding: 0in 5.4pt 0in 5.4pt; width: 30.3pt;" valign="top" width="40"><br /></td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.3pt;" valign="top" width="130"><br /></td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 155.9pt;" valign="top" width="208">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 14.2pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Guru
menyampaikan tujuan mempelajari konsep tentang luas dan keliling persegi dan
persegi panjang dengan satuan tak baku dan baku yang ingin dicapai
dalam pembelajaran.</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 14.2pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 14.2pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 14.2pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 14.2pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 14.2pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 14.2pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Guru
menyampaikan konsep mengenai rumus luas dan keliling persegi dan persegi
panjang dengan satuan tak baku dan baku.</span></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 113.4pt;" valign="top" width="151">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Siswa mengamati dan menyimak tujuan mempelajari konsep
tentang luas dan keliling persegi dan persegi panjang dengan satuan tak
baku dan baku yang hendak dicapai dalam pembelajaran <i>(visual, auditori)</i></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Siswa menyimak konsep yang disampaikan oleh guru kemudian
membuat catatan penting mengenai konsep rumus luas dan keliling persegi dan
persegi panjang dengan satuan tak baku dan baku pada buku catatan <i>(audio,
kinestetik)</i></span></div>
</td>
</tr>
<tr style="mso-yfti-irow: 7;">
<td style="border-bottom: none; border-left: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; border-top: none; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 30.3pt;" valign="top" width="40"><br /></td>
<td style="border-right: solid windowtext 1.0pt; border: none; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.3pt;" valign="top" width="130"><br /></td>
<td style="border-right: solid windowtext 1.0pt; border: none; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 155.9pt;" valign="top" width="208">
<div class="MsoNormalCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Guru memberikan kesempatan kepada perwakilan masing-masing
kelompok untuk menyampaikan hasil diskusinya.</span></div>
</td>
<td style="border-right: solid windowtext 1.0pt; border: none; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 113.4pt;" valign="top" width="151">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Salah seorang siswa perwakilan dari masing-masing kelompok
membaca dengan keras dan mempresentasikan hasil diskusinya <i>(visual </i>dan
<i>kinestetik).</i></span></div>
</td>
</tr>
<tr style="mso-yfti-irow: 8;">
<td style="border-bottom: none; border-left: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; border-top: none; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 30.3pt;" valign="top" width="40"><br /></td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.3pt;" valign="top" width="130"><br /></td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 155.9pt;" valign="top" width="208">
<div class="MsoNormalCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Guru memberikan kesempatan kepada kelompok lain untuk
menanggapi hasil diskusi yang disampaikan.</span></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-bottom-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-right-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 113.4pt;" valign="top" width="151">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Siswa dari kelompok lain mendengarkan, mengemukakan
pendapat, memberikan gagasan dan menanggapi presentasi dari kelompok lain
tentang keliling persegi panjang <i>(visual, auditori </i>dan <i>kinestetik)</i></span></div>
</td>
</tr>
<tr style="mso-yfti-irow: 9; mso-yfti-lastrow: yes;">
<td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext 1.0pt; padding: 0in 5.4pt 0in 5.4pt; width: 30.3pt;" valign="top" width="40"><br /></td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 97.3pt;" valign="top" width="130">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 22.8pt; text-align: justify; text-indent: -22.8pt;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">(5) Pelaksanaan Tes/
Kuis</span></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 155.9pt;" valign="top" width="208">
<div class="MsoNormalCxSpMiddle" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Guru membagikan tes akhir kepada siswa, untuk mengetahui
seberapa besar keberhasilan belajar yang dicapai siswa, siswa diberikan
nilai.</span></div>
</td>
<td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 113.4pt;" valign="top" width="151">
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 0in 14.2pt; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-font-family: "Times New Roman";">Siswa menjawab tes akhir secara individu, menerima
penilaian individu dan kelompok <i>(kinestetik).</i></span></div>
</td>
</tr>
</tbody></table>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-left: 1.0in; mso-add-space: auto; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Contoh penerapan model pembelajaran
VAK dalam pelajaran matematika yaitu pembelajaran tentang pencerminan.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Latihan 1</span></div>
<div class="MsoListParagraph" style="line-height: 150%; mso-list: l0 level1 lfo12; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="height: 33px; left: 0px; margin-left: 223px; margin-top: 86px; mso-ignore: vglayout; position: absolute; width: 32px; z-index: 2;">
</span></div>
<table cellpadding="0" cellspacing="0">
<tbody>
<tr>
<td bgcolor="white" height="33" style="background: white; vertical-align: top;" width="32"><span style="left: 0pt; mso-ignore: vglayout; position: absolute; z-index: 2;">
<table cellpadding="0" cellspacing="0" style="width: 100%px;">
<tbody>
<tr>
<td>
<div class="shape" style="padding: 3.6pt 7.2pt 3.6pt 7.2pt;">
<div class="MsoNormal">
<span lang="IN">y</span></div>
</div>
</td>
</tr>
</tbody></table>
</span> </td>
</tr>
</tbody></table>
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Gambarkan
hasil dari pencerminan bangun trapesium di bawah ini terhadap sumbu <span style="mso-spacerun: yes;"> </span>y dan sumbu x, lalu hitung luas dan keliling
dari bangun trapesium tersebut.</span>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="mso-ignore: vglayout;">
</span></div>
<table align="left" cellpadding="0" cellspacing="0">
<tbody>
<tr>
<td height="2" width="11"><br /></td>
</tr>
<tr>
<td><br /></td>
<td><img height="373" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image001.gif" width="522" /></td>
</tr>
</tbody></table>
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"> </span>
<div align="center" class="MsoNormal" style="line-height: 150%; text-align: center;">
<br /></div>
<br clear="ALL" style="mso-ignore: vglayout;" />
<div align="center" class="MsoNormal" style="line-height: 150%; text-align: center;">
<span style="height: 32px; left: 0px; margin-left: 106px; margin-top: 13px; mso-ignore: vglayout; position: absolute; width: 61px; z-index: -15;">
</span></div>
<table cellpadding="0" cellspacing="0">
<tbody>
<tr>
<td bgcolor="white" height="32" style="background: white; vertical-align: top;" width="61"><span style="left: 0pt; mso-ignore: vglayout; position: absolute; z-index: -15;">
<table cellpadding="0" cellspacing="0" style="width: 100%px;">
<tbody>
<tr>
<td>
<div class="shape" style="padding: 3.6pt 7.2pt 3.6pt 7.2pt;">
<div class="MsoNormal">
<span lang="IN">4cm</span></div>
</div>
</td>
</tr>
</tbody></table>
</span> </td>
</tr>
</tbody></table>
<b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></b>
<div align="center" class="MsoNormal" style="line-height: 150%; text-align: center;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: 150%; text-align: center;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: 150%; text-align: center;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: 150%; text-align: center;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: 150%; text-align: center;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: 150%; text-align: center;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: 150%; text-align: center;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: 150%; text-align: center;">
<br /></div>
<br clear="ALL" style="mso-ignore: vglayout;" />
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; mso-list: l0 level1 lfo12; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">2.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Pembagian kelompok, dimana setiap
kelompok beranggotakan 5 orang. Setiap kelompok mendiskusikan benda-benda apa
saja yang ada di dalam ruangan yang termasuk bangun datar berikan alasannya,
lalu dipresentasikan di depan kelas.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Contoh: </span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Papan tulis </span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Papan tulis ini berbentuk persegi
panjang karena besar sisi-sisinya berbeda, sisi atas sama dengan sisi bawah,
sedangkan sisi kanan dan kiri sama besar. </span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: justify;">
<span style="mso-ignore: vglayout;">
</span></div>
<table align="left" cellpadding="0" cellspacing="0">
<tbody>
<tr>
<td height="0" width="124"><br /></td>
</tr>
<tr>
<td><br /></td>
<td><img height="91" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image002.gif" width="232" /></td>
</tr>
</tbody></table>
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"> </span>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; text-align: justify;">
<br /></div>
<br clear="ALL" style="mso-ignore: vglayout;" />
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l0 level1 lfo12; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">3.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Guru
memberikan kuis kepada siswa secara individual.</span></div>
<div align="center" class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 42.55pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; tab-stops: 150.0pt; text-align: center;">
<b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">KUIS</span></b></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 56.7pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l8 level1 lfo13; tab-stops: 150.0pt; text-align: justify; text-indent: -14.15pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Gambar dibawah ini adalah persegi panjang
dan persegi. Jika luas persegi panjang = </span><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin; mso-text-raise: -9.0pt; position: relative; top: 9.0pt;"><img height="30" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image004.gif" width="7" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>kali luas
persegi, maka lebar persegi panjang adalah . . .</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 56.7pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; tab-stops: 150.0pt; text-align: justify;">
<span style="height: 99px; left: 0px; margin-left: 140px; margin-top: 6px; mso-ignore: vglayout; position: absolute; width: 98px; z-index: -2;"><img height="99" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image005.gif" width="98" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 56.7pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; tab-stops: 150.0pt; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 56.7pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; tab-stops: 150.0pt; text-align: justify;">
<span style="height: 49px; left: 0px; margin-left: 272px; margin-top: 2px; mso-ignore: vglayout; position: absolute; width: 95px; z-index: -1;"><img height="49" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image006.gif" width="95" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 56.7pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; tab-stops: 150.0pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;">
</span>7,5 cm<span style="mso-tab-count: 2;"> </span><span style="mso-spacerun: yes;"> </span>7,5 cm</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 150.0pt; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 56.7pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l8 level1 lfo13; tab-stops: 150.0pt; text-align: justify; text-indent: -14.15pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">2.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Jika keliling laying-layang ABCD = 42 cm
dan panjang AD =<span style="mso-spacerun: yes;"> </span></span><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin; mso-text-raise: -9.0pt; position: relative; top: 9.0pt;"><img height="30" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image008.gif" width="7" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>AB, maka
panjang AB adalah . . .</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 56.7pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l8 level1 lfo13; tab-stops: 150.0pt; text-align: justify; text-indent: -14.15pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">3.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: major-bidi;">Sebidang tanah
berbentuk jajar genjang dengan ditanahnya akan ditanami pohon-pohon, dimana
jarak antara dua pohon yang berdekatan adalah 1 meter. Berapa banyak pohon yang
dapat ditanam?</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 56.7pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; tab-stops: 150.0pt; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 56.7pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; tab-stops: 150.0pt; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 56.7pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; tab-stops: 150.0pt; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 56.7pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; tab-stops: 150.0pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 150.0pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 150.0pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; tab-stops: 150.0pt; text-align: justify;">
<br /></div>
<div align="center" class="MsoNormal" style="line-height: 150%; text-align: center;">
<b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">BAB III</span></b></div>
<div align="center" class="MsoNormal" style="line-height: 150%; text-align: center;">
<b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">PENUTUP</span></b></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-left: 21.3pt; mso-add-space: auto; mso-list: l1 level1 lfo11; text-align: justify; text-indent: -.25in;">
<b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">A.<span style="font: 7.0pt "Times New Roman";">
</span></span></span></b><b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Kesimpulan</span></b></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 21.3pt; mso-add-space: auto; text-align: justify; text-indent: 21.25pt;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Model pembelajaran <i>Visual
Auditori Kinestetik</i> (VAK) adalah model pembelajaran yang mengkombinasikan
ketiga gaya belajar (melihat, mendengar, dan bergerak) setiap individu dengan
cara memanfaatkan potensi yang telah dimiliki dengan melatih dan mengembangkannya,
agar semua kebiasaan belajar siswa terpenuhi. Pembelajaran dengan model ini
mementingkan pengalaman belajar secara langsung dan menyenangkan bagi siswa.
Pengalaman belajar secara langsung dengan cara belajar dengan mengingat <i style="mso-bidi-font-style: normal;">(Visual)</i>, belajar dengan mendengar <i style="mso-bidi-font-style: normal;">(Auditory)</i>, dan belajar dengan gerak dan
emosi <i style="mso-bidi-font-style: normal;">(Kinestethic).</i></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 21.3pt; mso-add-space: auto; text-align: justify; text-indent: 28.35pt;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Kelebihan
dan kelemahan</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">
Setiap model pembelajaran memiliki kelebihan dan kelemahan, tidak terkecuali
model pembelajaran <i>Visual Auditori Kinestetik</i> (VAK) juga memiliki
kelebihan dan kelemahan diantaranya sebagai berikut.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 42.55pt; mso-add-space: auto; mso-list: l12 level1 lfo2; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: Wingdings; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">ü<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-weight: bold; mso-fareast-font-family: "Times New Roman";">Kelebihan
Model Pembelajaran <i>VAK</i></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 42.55pt; mso-add-space: auto; text-align: justify;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Kelebihan model pembelajaran <i>Visual Auditori Kinestetik</i>
(VAK) adalah sebagai berikut.</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 63.8pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l4 level1 lfo14; tab-stops: 0in 13.5pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">a)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Pembelajaran akan lebih efektif, karena mengkombinasikan
ketiga gaya belajar.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 63.8pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l4 level1 lfo14; tab-stops: 0in 13.5pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">b)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Mampu melatih dan mengembangkan potensi siswa yang telah
dimiliki oleh pribadi masing-masing.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 63.8pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l4 level1 lfo14; tab-stops: 0in 13.5pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">c)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-size: 12.0pt; line-height: 150%;">Memunculkan suasana belajar yang lebih baik, menarik dan
efektif.</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 63.8pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l4 level1 lfo14; tab-stops: 0in 13.5pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">d)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Memberikan pengalaman langsung kepada siswa.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 63.8pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l4 level1 lfo14; tab-stops: 0in 13.5pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">e)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Mampu melibatkan siswa secara maksimal dalam menemukan dan
memahami suatu konsep melalui kegiatan fisik seperti demonstrasi, percobaan,
observasi, dan diskusi aktif.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 63.8pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l4 level1 lfo14; tab-stops: 0in 13.5pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">f)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Mampu menjangkau setiap gaya pembelajaran siswa.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 63.8pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l4 level1 lfo14; tab-stops: 0in 13.5pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">g)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Siswa yang memiliki kemampuan bagus tidak akan terhambat
oleh siswa yang lemah dalam belajar karena model ini mampu melayani kebutuhan
siswa yang memiliki kemampuan di atas rata-rata.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-add-space: auto; mso-list: l12 level1 lfo2; tab-stops: 0in 13.5pt 155.95pt; text-align: justify; text-indent: -.25in;">
<span lang="IN" style="font-family: Wingdings; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">ü<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-weight: bold; mso-fareast-font-family: "Times New Roman";">Kelemahan
Model Pembelajaran VAK</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"></span></div>
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<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-tab-count: 1;"> </span>Kelemahan
dari model pembelajaran <i>Visual Auditori Kinestetik</i> (VAK) yaitu tidak
banyak orang mampu mengkombinasikan ketiga gaya belajar tersebut. Sehingga
orang yang hanya mampu menggunakan satu gaya belajar, hanya akan mampu
menangkap materi jika menggunakan metode yang lebih memfokuskan kepada salah
satu gaya belajar yang didominasi.</span></div>
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<br /></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-left: 21.3pt; mso-add-space: auto; mso-list: l1 level1 lfo11; text-align: justify; text-indent: -.25in;">
<b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">B.<span style="font: 7.0pt "Times New Roman";">
</span></span></span></b><b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Saran</span></b></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-left: 21.3pt; mso-add-space: auto; text-align: justify; text-indent: 28.35pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Semua model pembelajaran itu baik,
tergantung </span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">bagaimana</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"> kita dalam mempraktikkannya dan kecocokan
dalam materi matematikanya. Model Pembelajaran </span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">VAK</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"> ini merupakan terobosan baru dalam dunia pendidikan, dengan model ini
bu</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">k</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">an hanya guru yang menjadi pusat tetapi siswa juga
yang menjadi pusat.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Diharapkan dengan munculnya model
pembelajaran ini, dunia pendidikan semakin maju dan berkembang dan me</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">n</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">cetak
generasi baru yang kompeten.</span><b style="mso-bidi-font-weight: normal;"><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"></span></b></div>
Anonymoushttp://www.blogger.com/profile/12687144285653136583noreply@blogger.com7tag:blogger.com,1999:blog-1804877733213183710.post-3927201416071538902013-03-07T00:11:00.000-08:002013-03-07T00:25:04.502-08:00ISOMETRI<!--[if !mso]>
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<div class="Default" style="line-height: 150%; margin-left: 21.3pt; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -.25in;">
<b style="mso-bidi-font-weight: normal;"><span style="mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">A.<span style="font: 7.0pt "Times New Roman";">
</span></span></span></b><b style="mso-bidi-font-weight: normal;">Pengertian
Isometri </b></div>
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Isometri adalah suatu transformasi atas Refleksi
(pencerminan), Translasi (pergeseran), dan Rotasi (perputaran) pada sebuah
garis yang mempertahankan jarak (panjang suatu ruas garis).</div>
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<br /></div>
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<b style="mso-bidi-font-weight: normal;"><span style="mso-bidi-font-style: italic; mso-fareast-font-family: "Times New Roman";">Teorema 3.1:</span></b></div>
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<span style="mso-bidi-font-style: italic; mso-fareast-font-family: "Times New Roman";">Setiap refleksi pada garis adalah suatu
transformasi. </span><span style="mso-fareast-font-family: "Times New Roman";">Jadi
refleksi struktur tubuh kupu-kupu dan manusia terhadap sumbu simetri / sumbu
pencerminannya merupakan suatu tranformasi.<span style="mso-bidi-font-style: italic;"></span></span></div>
<div class="Default" style="line-height: 150%; margin-left: 22.5pt; text-align: justify;">
<span style="mso-bidi-font-style: italic; mso-fareast-font-family: "Times New Roman";">Suatu
pencerminan pada garis mengawetkan jarak</span></div>
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<span style="mso-fareast-font-family: "Times New Roman";">Misal:</span></div>
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<span style="mso-fareast-font-family: "Times New Roman";">A = bahu kanan manusia</span></div>
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<span style="mso-fareast-font-family: "Times New Roman";">B = ujung jari tengah tangan
kanan manusia</span></div>
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<span style="mso-fareast-font-family: "Times New Roman";">A’ = Ms(A) = bahu kiri
manusia</span></div>
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<span style="mso-fareast-font-family: "Times New Roman";">B’ = ujung jari tengah tangan
kiri manusia</span></div>
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<br /></div>
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<span style="mso-fareast-font-family: "Times New Roman";">Jadi
jarak antara AB = A’B’ yaitu jarak antara bahu dan ujung jari tengah tangan
kanan manusia sama dengan jarak antara bahu dan ujung jari tengah tangan kiri
manusia.</span></div>
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<span style="mso-fareast-font-family: "Times New Roman";">Suatu
transformasi T adalah isometri jika dan hanya jika untuk setiap pasangan
titik-titik P dan Q,</span></div>
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P' Q' = PQ </span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Dengan
P' = T (P) dan Q' = T (Q)</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Transformasi
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dengan P’ = U (P) dan Q’ = U (Q).</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Contoh : pencerminan</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: IN;"></span></div>
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Misalkan T suatu transformasi, transformasi T
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<b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">A.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Sifat-sifat Isometri</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"></span></div>
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Suatu
isometri memiliki sifat-sifat sebagai berikut: </div>
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<span style="mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";"> </span></span></span>Memetakan
garis menjadi garis</div>
<div class="Default" style="line-height: 150%; margin-left: .5in; mso-list: l2 level1 lfo1; text-align: justify; text-indent: -.25in;">
<span style="mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";"> </span></span></span>Mempertahankan
ukuran besarnya sudut antara dua garis </div>
<div class="Default" style="line-height: 150%; margin-left: .5in; mso-list: l2 level1 lfo1; text-align: justify; text-indent: -.25in;">
<span style="mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">c.<span style="font: 7.0pt "Times New Roman";"> </span></span></span>Mempertahankan
kesejajaran dua garis</div>
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Bukti:
</div>
<div class="Default" style="line-height: 150%; margin-left: 21.3pt; text-align: justify;">
<br /></div>
<div class="Default" style="line-height: 150%; margin-left: 21.3pt; text-align: justify;">
<b>a.
Memetakan garis menjadi garis </b><span lang="IN" style="mso-ansi-language: IN;"></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Andaikan g sebuah garis dan T suatu
isometri. Kita akan membuktikan bahwa T(g)=h adalah suatu garis juga.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 21.3pt; text-align: justify; text-indent: 14.7pt;">
<br /></div>
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<br /></div>
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<br /></div>
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<br /></div>
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</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"> </span>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 1;"> </span>B<span style="mso-tab-count: 1;"> </span>B’</span></div>
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<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
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<span style="height: 11px; left: 0px; margin-left: 443px; margin-top: 5px; mso-ignore: vglayout; position: absolute; width: 13px; z-index: 6;"><img height="11" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image003.gif" width="13" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 1;"> </span>A<span style="mso-tab-count: 1;"> </span>A’<span style="mso-tab-count: 1;"> </span></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 1;"> </span>g<span style="mso-tab-count: 1;"> </span>h</span></div>
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<br /></div>
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<br /></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Ambil A є g dan B є g. maka A’=T(A) є h, B’=T(B) є h melalui A’
dan B’ ada satu garis. Misalnya h’ </span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Ambil
sebarang isometri T dan garis g akan di tunjukan bahwa T(g) berupa sebuah
garis. Perhatikan gambar ambil dua titik sebarang A dan B pada garis g misalkan
T(A) = A<sup>1</sup> dan T(B) = B<sup>1</sup> dan garis lurus menghubungkan A<sup>1</sup>
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<span style="height: 12px; left: 0px; margin-left: 209px; margin-top: 3px; mso-ignore: vglayout; position: absolute; width: 65px; z-index: 15;"><img height="12" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image007.gif" width="65" /></span><span style="height: 2px; left: 0px; margin-left: 265px; margin-top: 8px; mso-ignore: vglayout; position: absolute; width: 81px; z-index: 17;"><img height="2" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image008.gif" width="81" /></span><span style="height: 12px; left: 0px; margin-left: 334px; margin-top: 4px; mso-ignore: vglayout; position: absolute; width: 12px; z-index: 12;"><img height="12" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image009.gif" width="12" /></span><span style="height: 12px; left: 0px; margin-left: 202px; margin-top: 3px; mso-ignore: vglayout; position: absolute; width: 12px; z-index: 11;"><img height="12" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image009.gif" width="12" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 1;"> </span>A<span style="mso-tab-count: 1;"> </span>A<sup>1</sup></span></div>
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<br /></div>
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<span style="height: 2px; left: 0px; margin-left: 271px; margin-top: 9px; mso-ignore: vglayout; position: absolute; width: 107px; z-index: 18;"><img height="2" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image010.gif" width="107" /></span><span style="height: 12px; left: 0px; margin-left: 167px; margin-top: 4px; mso-ignore: vglayout; position: absolute; width: 107px; z-index: 16;"><img height="12" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image011.gif" width="107" /></span><span style="height: 12px; left: 0px; margin-left: 366px; margin-top: 3px; mso-ignore: vglayout; position: absolute; width: 12px; z-index: 13;"><img height="12" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image009.gif" width="12" /></span><span style="height: 12px; left: 0px; margin-left: 164px; margin-top: 3px; mso-ignore: vglayout; position: absolute; width: 12px; z-index: 14;"><img height="12" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image009.gif" width="12" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">B<span style="mso-tab-count: 1;"> </span>B<sup>1</sup></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 1;"> </span>g<span style="mso-tab-count: 1;"> </span>T(g)</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 21.3pt; tab-stops: 48.75pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Untuk ini akan dibuktikan <span style="color: black;">h’ </span></span><span style="color: black; font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ì</span></span><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"> h
dan h </span><span style="color: black; font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ì</span></span><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"> h’</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"></span></div>
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<b><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Bukti h’ </span></b><span style="color: black; font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ì</span></span><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"> <b>h </b></span></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Ambil X’ є
h’. oleh karena bidang kita adalah bidang Euclides, maka kita andaikan (A’ X’
B’), artinya A’ X’ + X’ B’= A’ B’. oleh karena T suatu isometric. Jadi suatu
transformasi maka ada X sehingga T (X) = X’ dan oleh karena T suatu isometric
maka AX=A’X’ ; begitu pula XB=X’B’. jadi pula AX+BX=AB </span></div>
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<br /></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Ini berarti
bahwa A, X, B segaris pada g </span></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Ini berarti
lagi bahwa X’=T(X) є h. </span></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Sehingga h’</span><span style="color: black; font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ì</span></span><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"> h sebab bukti serupa berlaku untuk posisi X’ dengan (X’ A’ B’)
atau (A’ B’ X’)</span></div>
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<br /></div>
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<b><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Bukti h </span></b><span style="color: black; font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ì</span></span><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"> <b>h’ </b></span></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Ada lagi Y’
є h </span><span lang="IN" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: IN;"></span></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Maka ada Y
є g sehingga T(Y)=Y’ dengan Y misalnya (A Y B), artinya Y є g dan AY+YB = AB.
Oleh karena T sebuah isometric maka A’Y’= AY, Y’B’= AB. Sehingga A’Y’+Y’B’ =
A’B’. Ini berarti bahwa A’, Y’, B’ segaris, yaitu garis yang melalui A’ dan B’.
</span><span lang="IN" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: IN;"></span></div>
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<br /></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Oleh karena
h’ satu-satunya garis yang melalui A’ dan B’ maka Y’ h’. </span><span lang="IN" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: IN;"></span></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Jadi
haruslah Bukti h </span><span style="color: black; font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ì</span></span><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"> h’ </span></div>
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<br /></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Bukti serupa berlaku untuk keadan (Y A B) atau (A B Y) sehingga h=
h’. jadi kalau g sebuah garis maka h = T(g) adalah sebuah garis. </span><span lang="IN" style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: IN;"></span></div>
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<br /></div>
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<b style="mso-bidi-font-weight: normal;"><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";"> </span></span></span></b><b style="mso-bidi-font-weight: normal;"><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Mempertahankan ukuran besarnya
sudut antara dua garis</span></b><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"></span></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Isometric
mempertahankan besar sudut.</span></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Bila </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">∆
ABC </span><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><img height="22" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image013.gif" width="12" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">A’B’C’</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Jawab:</span></div>
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<br /></div>
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<span style="height: 232px; left: -1px; mso-ignore: vglayout; position: relative; top: 5px; width: 524px; z-index: 20;"><img height="227" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image014.gif" width="524" /></span><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"> </span></div>
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<br /></div>
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<br /></div>
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<br /></div>
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<br /></div>
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<br /></div>
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<br clear="ALL" style="mso-ignore: vglayout;" />
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Perhatikan
∆ABC dan ∆A’B’C’</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Karena U isometric berarti <span style="mso-tab-count: 1;"> </span>A’B’=AB</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 1;"> </span>A’C’=AC</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 1;"> </span>B’C’=BC</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Karena sisi, sisi, sisi berarti <span style="mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image016.gif" width="117" /></span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 14.2pt; tab-stops: 70.9pt 148.85pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Akibatnya<span style="mso-tab-count: 1;"> </span><span style="mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image018.gif" width="144" /></span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 14.2pt; tab-stops: 70.9pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 1;"> </span><span style="mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image020.gif" width="145" /></span><span style="mso-tab-count: 3;"> </span></span></div>
<div class="MsoNormal" style="line-height: 150%; tab-stops: 70.9pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 2;"> </span><span style="mso-text-raise: -3.0pt; position: relative; top: 3.0pt;"><img height="19" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image022.gif" width="144" /></span><span style="mso-tab-count: 2;"> </span></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Jadi
isometri mempertahankan besar sudut.<span style="mso-tab-count: 1;"> </span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 14.2pt; text-align: justify;">
<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Ambil sebuah </span><span style="color: black; font-family: Symbol; font-size: 12.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ð</span></span><span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"> ABC</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-no-proof: yes;"><img height="131" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image024.jpg" width="488" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"></span></div>
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Andaikan
A’= T(A), B’=T(B), C’=T(C) </div>
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Menurut
(a), maka A’B’ dan B’C’ adalah garis lurus </div>
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Oleh
karena <span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ð</span></span>
ABC = BABC maka <span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ð</span></span>
A’B’C’ = B’A’ <span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">È</span></span>
B’C’ sedangkan A’B’ = AB, B’C’ = BC, C’A’ = AC </div>
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Sehingga
∆ ABC = ∆ A’B’C’. jadi <span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ð</span></span> A’B’C’ = <span style="font-family: Symbol; mso-ascii-font-family: "Times New Roman"; mso-char-type: symbol; mso-hansi-font-family: "Times New Roman"; mso-symbol-font-family: Symbol;"><span style="mso-char-type: symbol; mso-symbol-font-family: Symbol;">Ð</span></span> ABC </div>
<div class="Default" style="line-height: 150%; margin-left: 14.2pt; text-align: justify;">
Sehingga
suatu isometri mempertahankan besarnya sebuah sudut. <span lang="IN" style="mso-ansi-language: IN;"></span></div>
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<br /></div>
<div class="Default" style="line-height: 150%; margin-left: 21.3pt; text-align: justify;">
<b style="mso-bidi-font-weight: normal;">c. Mempertahankan Kesejajaran </b></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Isometri
mempertahankan kesejajaran.</span></div>
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</span></div>
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<br /></div>
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<br /></div>
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<br /></div>
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<br /></div>
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<br /></div>
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<br /></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Jika g // h→ g’ // h’
dengan g’ = U(g)</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 1;"> </span>h’ =
U(h)</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: IN;"></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Bukti :</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Diketahui g // h sejajar</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">g’ = U(g) dan h’ = U(h)</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Andaikan g’ tidak
sejajar h’</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Berarti ada titik
potong P’ = titik (g’, h’)</span></div>
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<br /></div>
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<br /></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">U
isometri, maka terdapat P→P’ = U(P)</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">P’
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<div class="MsoNormal" style="line-height: 150%; margin-left: 21.3pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">P’
terletak pada h’ maka haruslah P terletak pada h.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 21.3pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Jadi
g dan h berpotongan di P, kontradiksi dengan g // h.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 21.3pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Sehingga
pengandaian diingkarkan berarti g’ // h’.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 21.3pt; tab-stops: 78.0pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Jadi isometri mempertahankan
kesejajaran.</span></div>
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<img align="left" height="270" hspace="12" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image028.jpg" width="390" /><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 1;"> </span></span></div>
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<br /></div>
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<br /></div>
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<br /></div>
<div class="Default" style="line-height: 150%; margin-left: 21.3pt; text-align: justify;">
<br /></div>
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Kita
harus memperlihatkan bahwa a’ ⁄⁄ b’ </div>
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Andaikan
a’ memotong b’ disebuah titik P’ jadi P’ є a’ dan P’ є b’. oleh karena T sebuah
transformasi maka ada P sehingga T(P) = P’ dengan P є a dan P є b. </div>
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Ini
berarti bahwa a memotong b di P ; jadi bertentangan dengan yang diketahui bahwa
a ⁄⁄ b </div>
<div class="Default" style="line-height: 150%; margin-left: 21.3pt; text-align: justify;">
Maka
Pengandaian bahwa a’ memotong b’ SALAH </div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 21.3pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Jadi
haruslah a’ ⁄⁄ b’</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: IN;"></span></div>
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<b style="mso-bidi-font-weight: normal;"><span style="mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">A.<span style="font: 7.0pt "Times New Roman";">
</span></span></span></b><b>Isometri Langsung dan Isometri Lawan </b></div>
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Suatu Transformasi T disebut langsung jika dan hanya jika
transformasi itu mempertahankan orientasi. <span lang="IN" style="mso-ansi-language: IN; mso-bidi-font-weight: bold;">Isometri langsung adalah tidak mengubah orientasi
(tetap),Jadi dalam isometric langsung</span>. <span style="mso-bidi-font-weight: bold;">A</span><span lang="IN" style="mso-ansi-language: IN; mso-bidi-font-weight: bold;">pabila orientasi positif tetap positif sedangkan orientasi negative tetap
negatif.</span></div>
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Sedangakan Transformasi T disebut transformasi lawan jika dan
hanya jika transformasi itu mengubah arah orientasi. <span lang="IN" style="mso-ansi-language: IN;">Isometri lawan adalah mengubah orientasi positif
jadi negatip (kebalikan).</span></div>
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<span lang="IN" style="mso-ansi-language: IN;">Dikatakan berorientasi
positif apabila perputarannya berlawanan arah dengan jarum jam.</span><span lang="IN"> </span><span lang="IN" style="mso-ansi-language: IN;">Dikatakan
berorientasi negative apabila perputarannya searah dengan perputaran</span><span lang="IN"> </span><span lang="IN" style="mso-ansi-language: IN;">jarum jam</span>.</div>
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<b>Contoh
22.</b></div>
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<span style="mso-bidi-font-weight: bold;">Misalkan diberikan
enam buah titik (lihat gambar 2.4). karena urutna perputaran A, B, ke C
berlawanan dengan perputaran jarum lonceng maka (A, B, C) berorientasi positif.
Sedangkan urutan perputaran P, Q, ke R sesuai dengan perputaran jarum lonceng
akibatnya (P, Q, R) berorientasi negative.</span></div>
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<b style="mso-bidi-font-weight: normal;">Definisi 2.3</b></div>
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Misalkan T suatu transformasi T disebut mengawetkan orientasi
apabila untuk setiap ganda tiga titik <span style="mso-bidi-font-weight: bold;">(P<sub>1</sub>,
P<sub>2</sub>, P<sub>3</sub>) yang tidak kolinear orientasinya sama dengan
orientasi dari petanya. Sedangkan lainnya disebut tidak mengawetkan orientasi.</span></div>
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<div class="Default" style="line-height: 150%; margin-left: 22.5pt; text-align: justify;">
<b>Contoh
2.3</b></div>
<div class="Default" style="line-height: 150%; margin-left: 22.5pt; text-align: justify; text-indent: 13.5pt;">
<span style="mso-bidi-font-weight: bold;">Apabila anda
prhatikan trnasformasi yang ditetapkan dalam contoh 2.1. sudah ditelusuri bahwa
transformasi T ini merupakan suatu isometric. Apakah T ini mrupakan isometric
langsung atau isometric lawan ?untuk menarik kesimpulan ini perhatikan gambar
2.5. Mislakan anda ambil tiga titik atk kolinear sembarang. A, B, dan C.
kemudian mencari T(A), T(B), dan T(C) = B’ dan T(C) = C’</span></div>
<div class="Default" style="line-height: 150%; margin-left: 22.5pt; text-align: justify;">
<span style="mso-no-proof: yes;"><img height="236" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image002.jpg" width="331" /></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 22.5pt; margin-right: 0in; margin-top: 0in; text-align: justify; text-indent: 13.5pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; letter-spacing: .7pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">Karena (A, B, C) berorientasi positif, sedangkan (A`, B`, C`)
berorientasi negatif, maka </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";">transformasi
T merupakan transformasi lawan. Akibatnya T suatu isometri lawan.</span></div>
<div class="Default" style="line-height: 150%; margin-left: 22.5pt; text-align: justify; text-indent: 13.5pt;">
Perhatikan gambar di bawah ini, anda melihat suatu
transformasi T yang menunjukan segitiga ABC pada segitiga A<sub>1</sub>B<sub>1</sub>C<sub>1
</sub>misalnya sebuah pencerminan pada garis g. </div>
<div class="Default" style="line-height: 150%; margin-left: 22.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Untuk lebih jelas
perhatikan gambar berikut:</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 21.3pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Gambar
1 (mengubah orientasi)<span style="mso-tab-count: 2;"> </span></span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-no-proof: yes;"><img height="367" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image004.jpg" width="354" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-spacerun: yes;"> </span></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: IN;"></span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Gambar
2 (mengawetkan orientasi)</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-no-proof: yes;"><img height="311" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image006.jpg" width="310" /></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: IN;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 21.3pt; text-align: justify; text-indent: .5in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Tampak bahwa apabila pada segitiga ABC,
urutan keliling A→B→C adalah berlawanan dengan putaran jarum jam maka pada
petanya, yaitu segitiga A<sub>1</sub>B<sub>1</sub>C<sub>1</sub>, urutan
keliling A<sub>1</sub>→B<sub>1</sub>→C<sub>1 </sub>adalah sesuai dengan putaran
jarum jam. Pada gambar di atas anda lihat juga suatu isometric, yaitu rotasi
(putaran) mengelilingi sebuah titik O.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 21.3pt; text-align: justify; text-indent: .5in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Jika ada segitiga ABC urutan keliling
A→B→C adalah berlawanan arah dengan putaran jarum jam maka pada petanya yaitu
pada segitiga A<sub>2</sub>B<sub>2</sub>C<sub>2</sub> urutan keliling A<sub>2</sub>→B<sub>2</sub>→C<sub>2</sub>
tetap berlawanan dengan putaran jarum jam.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 35.45pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Definisi:</span></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; mso-list: l1 level1 lfo3; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">1)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Suatu
transformasi T mengawetkan suatu orientasi apabila untuk setiap tiga titik tak
segaris (P<sub>1, </sub>P<sub>2, </sub>P<sub>3</sub>) orientasinya sama dengan
ganda (P’<sub>1, </sub>P’<sub>2, </sub>P’<sub>3</sub>) dengan P’<sub>1</sub> =
T(P<sub>1</sub>), P’<sub>2</sub> = T(P<sub>2</sub>), P’<sub>3</sub> = T(P<sub>3</sub>).</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; mso-list: l1 level1 lfo3; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">2)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Suatu
transformasi T membalik suatu orientasi apabila untuk setiap tiga titik yang
tak segaris (P<sub>1, </sub>P<sub>2, </sub>P<sub>3</sub>) orientasinya tidak
sama dengan orientasi peta-petanya (P’<sub>1, </sub>P’<sub>2, </sub>P’<sub>3</sub>)
dengan P’ = T(P<sub>1</sub>), P’<sub>2 </sub>= T(P<sub>2</sub>), P’<sub>3</sub>
= T(P<sub>3</sub>)</span></div>
<div class="Default" style="line-height: 150%; margin-left: 21.3pt; text-align: justify;">
Definisi
: </div>
<div class="Default" style="line-height: 150%; margin-left: 21.3pt; text-align: justify; text-indent: 14.7pt;">
Misalkan ( P, Q, R ) adalah ganda tiga titik yang koliniear
(tidak segaris). Apabila urutan perputaran P, Q, R sesuai dengan perputaran
jarum jam maka P, Q R di sebut memiliki orientasi negatif. Sedangkan apabila
urutan perputaran P, Q, R berlawanan dengan arah perputaran jarum jam maka P,
Q, R memilki orientasi positif </div>
<div class="Default" style="line-height: 150%; margin-left: 21.3pt; text-align: justify;">
<br /></div>
<div class="Default" style="line-height: 150%; margin-left: 21.3pt; text-align: justify;">
Definisi
: </div>
<div class="Default" style="line-height: 150%; margin-left: 21.3pt; text-align: justify; text-indent: .5in;">
Misalkan T suatu transformasi. T disebut mempertahankan
orientasi apabila untuk setiap ganda tiga titik A, B, C yang kolinear
orientasinya sama dengan orientasi dari petanya. Sedangkan lainnya disebut
mengubah orientasi.</div>
<div class="Default" style="line-height: 150%; margin-left: 21.3pt; text-align: justify; text-indent: .5in;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; mso-layout-grid-align: none; tab-stops: 3.75in; text-align: justify; text-autospace: none;">
<span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: IN;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Suatu
transformasi T yang memetakan segitiga ABC pada segitiga A1,B1,C1 misalkan
sebuah pencerminan pada garis g.</span></div>
<div class="Default" style="line-height: 150%; margin-left: .5in; mso-list: l2 level1 lfo2; tab-stops: 3.75in; text-align: justify; text-indent: -.25in;">
<span style="font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">v<span style="font: 7.0pt "Times New Roman";">
</span></span></span>Untuk lebih jelas perhatikan gambar berikut :</div>
<div class="Default" style="line-height: 150%; margin-left: .75in; mso-list: l0 level1 lfo1; tab-stops: 3.75in; text-align: justify; text-indent: -.25in;">
<span style="font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">ü<span style="font: 7.0pt "Times New Roman";">
</span></span></span>Setiap refleksi (pencerminan) pada garis adalah
suatu isometric lawan</div>
<div class="MsoListParagraph" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .75in; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Gambar
(A B C) Berlawanan arah dengan perputaran jarum jam(memiliki orientasi
positif)sedang, Gambar (A1,B1,C1) Sesuai dengan putaran jarum jam (memiliki
orientasi yang negative).</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: IN;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-no-proof: yes;"><img height="345" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image007.jpg" width="284" /></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: IN;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .75in; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .75in; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .75in; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-layout-grid-align: none; mso-list: l0 level1 lfo1; text-align: justify; text-autospace: none; text-indent: -.25in;">
<span style="font-family: Wingdings; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">ü<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Isometri
langsung adalah tidak mengubah orientasi (tetap), Jadi dalam isometric langsung
apabila orientasi positif tetap positif sedangkan orientasi negative tetap
negatif. Perhatikan gambar isometric langsung di bawah ini: </span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="Default" style="line-height: 150%; margin-left: .75in; tab-stops: 3.75in; text-align: justify;">
<br /></div>
<div class="Default" style="line-height: 150%; margin-left: .75in; tab-stops: 3.75in; text-align: justify;">
<span style="mso-no-proof: yes;"><img height="283" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image008.jpg" width="310" /></span><span lang="IN" style="mso-ansi-language: IN; mso-fareast-language: IN; mso-no-proof: yes;"></span></div>
<div class="Default" style="line-height: 150%; margin-left: .75in; tab-stops: 3.75in; text-align: justify;">
<br /></div>
<div class="Default" style="line-height: 150%; margin-left: .75in; tab-stops: 3.75in; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 1.0in; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-layout-grid-align: none; mso-list: l2 level1 lfo2; text-align: justify; text-autospace: none; text-indent: -.25in;">
<span style="font-family: Wingdings; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">v<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Dikatakan
berorientasi positif apabila perputarannya berlawanan arah jarum dengan jarum
jam.</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 1.0in; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-layout-grid-align: none; mso-list: l2 level1 lfo2; text-align: justify; text-autospace: none; text-indent: -.25in;">
<span style="font-family: Wingdings; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">v<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Dikatakan
berorientasi negative apabila perputarannya searah dengan perputaran</span></div>
<div class="Default" style="line-height: 150%; margin-left: 1.0in; tab-stops: 3.75in; text-align: justify;">
jarum jam.</div>
<div class="Default" style="line-height: 150%; margin-left: .75in; mso-list: l0 level1 lfo1; tab-stops: 3.75in; text-align: justify; text-indent: -.25in;">
<span style="font-family: Wingdings; mso-bidi-font-family: Wingdings; mso-fareast-font-family: Wingdings;"><span style="mso-list: Ignore;">ü<span style="font: 7.0pt "Times New Roman";">
</span></span></span>Setiap isometri adalah sebuah isometri langsung
atau sebuah isometri lawan. </div>
<div class="Default" style="line-height: 150%; margin-left: .75in; tab-stops: 3.75in; text-align: justify;">
<br /></div>
Contoh soal;<br />
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</div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-layout-grid-align: none; mso-list: l0 level1 lfo1; text-align: justify; text-autospace: none; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Perhatikan
transformasi yang ditetapkan dalam gambar di bawah ini,sudah ditentukan bahwa
transformasi T ini merupakan suatu isometri.<span style="mso-tab-count: 1;"> </span>Pertanyaan
yang timbul apakah T ini merupakan isometric langsung atau isometric lawan?</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: IN; mso-fareast-language: IN; mso-no-proof: yes;"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-no-proof: yes;"><img height="205" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image002.jpg" width="529" /></span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: IN;"></span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: 21.3pt; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Penyelesaian:
Misalkan ambil tiga titik koliner sebarang, A,B,dan C.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: 0in; margin-top: 0in; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Kemudian kita cari
T(A), T(B), dan T(C).</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: 0in; margin-top: 0in; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Misalkan : T(A)=A<sup>1</sup>,
T(B)=B<sup>1</sup>, dan T(C)=C<sup>1</sup>.</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: 0in; margin-top: 0in; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Kerena (A,B,C)
berorientasi positif,sedangkan (A<sup>1</sup>, B<sup>1</sup>, C<sup>1</sup>)
berorieantasi negatif, maka transformasi T merupakan transformasi lawan.Akibatnya
T suatu isometri lawan .</span><span lang="IN" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-ansi-language: IN;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: 0in; margin-top: 0in; mso-layout-grid-align: none; text-align: justify; text-autospace: none;">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: 0in; margin-top: 0in; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -.25in;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">2.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Ditentukan
T((x, y)) = (x+1, y-5). Selidiki apakah T isometri.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 35.45pt; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">T((x, y)) → (x<sup>’</sup>,
y’) dengan <span style="mso-text-raise: -17.0pt; position: relative; top: 17.0pt;"><img height="53" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image004.gif" width="97" /></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 35.45pt; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Ambil titik <span style="mso-text-raise: -5.0pt; position: relative; top: 5.0pt;"></span></span></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="file:///C:/Users/Ahnan/AppData/Local/Temp/msohtmlclip1/01/clip_image006.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="23" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image006.gif" width="152" /></a></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 35.45pt; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-text-raise: -5.0pt; position: relative; top: 5.0pt;"><img height="28" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image008.gif" width="340" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-left: 35.45pt; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-text-raise: -5.0pt; position: relative; top: 5.0pt;"><img height="28" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image010.gif" width="352" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"></span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-left: 35.45pt; mso-add-space: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Sehingga :</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-text-raise: -41.0pt; position: relative; top: 41.0pt;"><img height="117" src="file:///C:\Users\Ahnan\AppData\Local\Temp\msohtmlclip1\01\clip_image012.gif" width="335" /></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"></span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify; text-indent: 35.45pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">Karena
A’B’=AB maka T merupakan isometri.</span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify; text-indent: 35.45pt;">
<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;">sumber:</span></div>
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<span style="color: black; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%; mso-themecolor: text1;">Rawuh, 1993. <i>Geometri Transformasi. </i>Bandung
: Perpustakaan Fakultas Keguruan dan Ilmu Pendidikan.</span></div>
<br /><br />
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