OLIMPIADE SAINS TERAPAN SMK TINGKAT PROPINSI Mata pelajaran Matematika Teknologi

<p><div class="MsoListParagraphCxSpFirst" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify; text-indent: -21.3pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><b><span lang="IN">I.<span style="font-weight: normal;">      </span></span></b><!--[endif]--><b><span lang="IN">BERILAH TANDA SILANG PADA  JAWABAN  YANG BENAR<o:p></o:p></span></b></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <b><span lang="IN"><span style="font-family: inherit;">Setiap jawaban yang benar mendapat nilai 1, yang salah atau kosong mendapat nilai 0, dan waktu pengerjaan 90 menit.<o:p></o:p></span></span></b></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <br /></div> <div style="text-align: justify;"> <span style="font-family: inherit;"><br clear="ALL" /> </span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">1.   </span><!--[endif]--><span lang="IN">Diketahui U_n adalah suku ke-n barisan aritmatika, dengan U</span>_{<span lang="IN">a</span>}<span lang="IN"> = b, U</span>_{<span lang="IN">b</span>}<span lang="IN"> = a. Berapa nilai U</span>_{<span lang="IN">a – b </span>}<span lang="IN">?<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 35.45pt; text-align: justify; text-indent: -14.15pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN">(b – a)b<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 35.45pt; text-align: justify; text-indent: -14.15pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN">(a – b)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 35.45pt; text-align: justify; text-indent: -14.15pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.  </span><!--[endif]--><span lang="IN">(b – a)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 35.45pt; text-align: justify; text-indent: -14.15pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN">(1 – b)b<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 35.45pt; text-align: justify; text-indent: -14.15pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.  </span><!--[endif]--><span lang="IN">(a – 1)a<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 1 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">2.   </span><!--[endif]--><span lang="IN">Diketahui x</span>^{<span lang="IN">7</span>}<span lang="IN">y</span>^{<span lang="IN">5</span>}<span lang="IN"> = a<i> </i>dan x</span>^{<span lang="IN">4</span>}<span lang="IN">y</span>^{<span lang="IN">3</span>}<span lang="IN"> = b, untuk bilangan-bilangan positif x<i>, </i>y<i>, </i>a, dan b. Jika x<i> </i>= a</span>^{<span lang="IN">r</span>}<span lang="IN">b</span>^{<span lang="IN">s</span>}<span lang="IN"> dan <i>y</i> = a</span>^{<span lang="IN">t</span>}<span lang="IN">b</span>^{<span lang="IN">u</span>}<span lang="IN">, untuk suatu bilangan <i>r, s, t, u </i>maka <i>r + s + t + u</i> = ….<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN">0<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN">1<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN">2<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN">3<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN">4<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 2 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">3.   </span><!--[endif]--><span lang="IN">Usman lahir sebelum tahun 1900 dan dia meninggal tahun 1950. Ketika dia meninggal, umurnya adalah seper dua puluh sembilan dari tahun kelahirannya, maka umur Usman pada tahun 1910 adalah ….<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN">20<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN">25<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN">30<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN">35<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN">40<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 3 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">4.   </span><!--[endif]--><span lang="IN">Yusuf mempunyai satu bundel tiket sebuah pertunjukan untuk dijual. Pada hari sabtu ia dapat menjual 10 lembar kepada kawan-kawannya. Pada hari minggu ia dapat menjual setengah dari tiket yang tersisa. Pada hari selasa ia menjual 5 tiket kepada teman sekolahnya dan 2 tiket terakhir kepada dua orang gurunya. Berapa tiket yang ada dalam 1 bundel?<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN">20<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN">21<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN">22<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN">23<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN">24<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 4 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">5.   </span><!--[endif]--><span lang="IN">Jika a, b, dan c adalah bilangan-bilangan real positif dan a + b + c = 1, maka<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN"><span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><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"> <v:stroke joinstyle="miter"> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"> <v:f eqn="sum @0 1 0"> <v:f eqn="sum 0 0 @1"> <v:f eqn="prod @2 1 2"> <v:f eqn="prod @3 21600 pixelWidth"> <v:f eqn="prod @3 21600 pixelHeight"> <v:f eqn="sum @0 0 1"> <v:f eqn="prod @6 1 2"> <v:f eqn="prod @7 21600 pixelWidth"> <v:f eqn="sum @8 21600 0"> <v:f eqn="prod @7 21600 pixelHeight"> <v:f eqn="sum @10 21600 0"> </v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:formulas> <v:path gradientshapeok="t" o:connecttype="rect" o:extrusionok="f"> <o:lock aspectratio="t" v:ext="edit"> </o:lock></v:path></v:stroke></v:shapetype><v:shape id="_x0000_i1025" o:ole="" style="height: 26.25pt; width: 74.25pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image001.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1475121086"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN"><span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1026" o:ole="" style="height: 26.25pt; width: 74.25pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image002.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1026" DrawAspect="Content" ObjectID="_1475121087"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN"><span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1027" o:ole="" style="height: 26.25pt; width: 75pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image003.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1027" DrawAspect="Content" ObjectID="_1475121088"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN"><span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1028" o:ole="" style="height: 26.25pt; width: 75pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image004.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1028" DrawAspect="Content" ObjectID="_1475121089"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN"><span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1029" o:ole="" style="height: 26.25pt; width: 74.25pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image005.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1029" DrawAspect="Content" ObjectID="_1475121090"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 5 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">6.    </span><!--[endif]--><span lang="IN">Jumlah n suku pertama suatu deret ditentukan oleh rumus a</span>_{<span lang="IN">n–1</span>}<span lang="IN"> + a</span>_{<span lang="IN">n-2</span>}<span lang="IN"> </span><span lang="IN">dengan a</span>_{<span lang="IN">n</span>}<span lang="IN"> = n</span>^{<span lang="IN">2</span>}<span lang="IN"> + 1. Tentukan suku ke 5 deret tersebut!<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN">10<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN">11<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN">12<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN">13<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN">14<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 6 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">7.   </span><!--[endif]--><span lang="IN">Berapa banyak bilangan yang kurang dari 300 yang dibentuk dari bilangan-bilangan 1, 2, 3, 4, dan 5 yang terdiri atas tiga angka yang berbeda?<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN">12<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN">16<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN">20<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN">24<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN">28<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 7 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">8.   </span><!--[endif]--><span lang="IN">Enam pasang suami istri berada dalam suatu ruangan, berapa kemungkinan memilih 2 orang secara acak yang mana 2 orang tersebut suami istri?<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN"><span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1030" o:ole="" style="height: 26.25pt; width: 15pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image006.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1030" DrawAspect="Content" ObjectID="_1475121091"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN"><span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1031" o:ole="" style="height: 26.25pt; width: 15pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image007.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1031" DrawAspect="Content" ObjectID="_1475121092"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN"><span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1032" o:ole="" style="height: 26.25pt; width: 15pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image008.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1032" DrawAspect="Content" ObjectID="_1475121093"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN"><span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1033" o:ole="" style="height: 26.25pt; width: 15pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image009.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1033" DrawAspect="Content" ObjectID="_1475121094"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN"><span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1034" o:ole="" style="height: 26.25pt; width: 15pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image010.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1034" DrawAspect="Content" ObjectID="_1475121096"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 8 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">9.    </span><!--[endif]--><span lang="IN">Jika H adalah himpunan huruf-huruf vokal dari "AKU SUKA MATEMATIKA", maka banyak himpunan bagian dari H adalah ….<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN">16<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN">64<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN">128<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN">512<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 9 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">10.</span><!--[endif]--><span lang="IN">Jika a dan b dua bilangan bulat sedemikian sehingga a</span><span lang="IN">²</span><span lang="IN"> </span><span lang="IN">-</span><span lang="IN"> b</span><span lang="IN">²</span><span lang="IN"> = 7, tentukan nilai a</span><span lang="IN">²</span><span lang="IN"> + b</span><span lang="IN">²</span><span lang="IN">.<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN">5<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN">10<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN">15<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN">20<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN">25<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 10 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">11.</span><!--[endif]--><span lang="IN">Agus, Bagus, Candra, Dewi, dan Eni datang ke Semarang untuk mengikuti suatu kompetisi matematika. Agus datang setelah Candra. Bagus datang lebih awal dibanding Agus tetapi setelah Dewi. Dewi datang lebih awal dibanding Candra, tetapi Dewi bukanlah yang paling awal datang. Dapat diambil kesimpulan bahwa yang datang paling awal di antara keempat siswa adalah .... <o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN">Eni<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN">Dewi<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN">Candra<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN">Bagus<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN">Agus<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 11 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">12.</span><!--[endif]--><span lang="PT-BR">Jika suatu sel membelah menjadi 5 sel setelah 10 detik</span><span lang="IN">,</span><span lang="PT-BR"> maka jumlah sel seluruhnya setelah satu menit adalah</span><span lang="PT-BR"> </span><span lang="PT-BR">…</span><span lang="IN">.<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN">50<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN">100.000<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN">15.625<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN">46.656<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN">9.765.625<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 12 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">13.</span><!--[endif]--><span lang="SV">Jika </span>^{<span lang="IN">2</span>}<span lang="IN">log 3 = a, </span>^{<span lang="IN">3</span>}<span lang="IN">log 4 = b, dan </span>^{<span lang="IN">4</span>}<span lang="IN">log 5 = c</span><span lang="SV">, maka </span>^{<span lang="IN">2</span>}<span lang="IN">log 10 = </span><span lang="SV">…</span><span lang="IN">.<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN">abc<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN">ab – c<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN">ac – b<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN">abc + 1<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN">abc – 1 <o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 13 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">14.</span><!--[endif]--><span lang="IN">Nilai <i>x</i> yang memenuhi persamaan </span>^{<span lang="IN">x</span>}<span lang="IN">log (x + 2) – 3.</span>^{<span lang="IN">x</span>}<span lang="IN">log 2 + 1, jika x </span><span lang="IN">³</span><span lang="IN"> 0 adalah ....<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN">0<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN">1<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN">2<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN">3<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN">4<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 14 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">15.</span><!--[endif]--><span lang="SV">Persamaan kuadrat </span><span lang="IN">x</span>^{<span lang="SV">2</span>}<span lang="SV"> </span><span lang="SV">-</span><span lang="SV"> </span><span lang="IN">ax</span><span lang="SV"> + </span><span lang="IN">a</span><i><span lang="SV"> + </span></i><span lang="SV">1 = 0, mempunyai akar </span><span lang="IN">x</span>_{<span lang="SV">1</span>}<span lang="SV"> dan </span><span lang="IN">x</span>_{<span lang="SV">2</span>}<span lang="SV">.  Jika </span><span lang="IN">x</span>_{<span lang="SV">1</span>}<span lang="SV"> – </span><span lang="IN">x</span>_{<span lang="SV">2</span>}<span lang="SV"> = 1, maka </span><span lang="IN">a = </span>…<span lang="IN">.<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN">–5 atau 1<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN">5 atau –1<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN">5 atau 1<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN">–5 atau –1<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN"><span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1035" o:ole="" style="height: 26.25pt; width: 11.25pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image011.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1035" DrawAspect="Content" ObjectID="_1475121097"> </o:OLEObject> </xml><![endif]-->atau 1<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 15 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">16.</span><!--[endif]--><span lang="SV">Persamaan </span><span lang="IN">x</span>^{<span lang="SV">2</span>}<span lang="SV"> </span><span lang="SV">-</span><span lang="SV"> 4</span><span lang="IN">x</span><span lang="SV"> + (</span><span lang="IN">a </span><span lang="SV">-</span><span lang="SV"> </span><span lang="SV">2)</span><span lang="SV"> </span><span lang="SV">=</span><span lang="SV"> </span><span lang="SV">0 akan mempunyai akar kembar, bila nilai </span><span lang="IN">a</span><span lang="IN"> </span><span lang="SV">=</span><span lang="SV"> </span><span lang="SV">….</span><span lang="IN"><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN">–4<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN">0<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN">4<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN">6<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN">16<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 16 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">17.</span><!--[endif]--><span lang="IN">Suku kedua dari suatu deret aritmatika adalah 5, jumlah suku keempat dan keenam adalah 28. </span><span lang="SV">Suku kesembilan deret itu adalah</span><span lang="SV"> </span><span lang="SV">…</span><span lang="IN">.<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN">24<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN">25<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN">26<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN">27<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN">28<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 17 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">18.</span><!--[endif]--><span lang="IN">Diketahui f(x) = (x + 2)</span>^{<span lang="FI">-</span>}^{<span lang="IN">2</span>}<span lang="IN">. Jika f</span>^{<span lang="FI">-</span>}^{<span lang="IN">1</span>}<span lang="IN">(x)= –4, maka nilai x adalah ….<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN">–3<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN">–2<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN">2<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN">0,5<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN">–0,5<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 18 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">19.</span><!--[endif]--><span lang="IN">Diketahui matriks A = <span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><v:shape id="_x0000_i1036" o:ole="" style="height: 36pt; width: 41.25pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image012.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1036" DrawAspect="Content" ObjectID="_1475121098"> </o:OLEObject> </xml><![endif]-->, B = <span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><v:shape id="_x0000_i1037" o:ole="" style="height: 36pt; width: 48pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image013.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1037" DrawAspect="Content" ObjectID="_1475121099"> </o:OLEObject> </xml><![endif]-->.<o:p></o:p></span></span></div> <div class="MsoNormal" style="margin-left: 18pt; text-align: justify;"> <span style="font-family: inherit;"><span lang="IN">Jika x</span>_{<span lang="IN">1</span>}<span lang="IN"> dan x</span>_{<span lang="IN">2</span>}<span lang="IN"> adalah akar-akar persamaan det(A) = det(B) maka x</span>_{<span lang="IN">1</span>}^{<span lang="IN">2</span>}<span lang="IN"> + x</span>_{<span lang="IN">2</span>}^{<span lang="IN">2</span>}<span lang="IN"> = ....<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.  </span><!--[endif]--><span lang="IN"><span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1038" o:ole="" style="height: 30pt; width: 78pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image014.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1038" DrawAspect="Content" ObjectID="_1475121100"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.  </span><!--[endif]--><span lang="IN"><span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1039" o:ole="" style="height: 30pt; width: 78pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image015.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1039" DrawAspect="Content" ObjectID="_1475121101"> </o:OLEObject> </xml><![endif]-->  <o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.   </span><!--[endif]--><span lang="IN"><span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1040" o:ole="" style="height: 30pt; width: 78pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image016.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1040" DrawAspect="Content" ObjectID="_1475121102"> </o:OLEObject> </xml><![endif]-->  <o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">d.  </span><!--[endif]--><span lang="IN"><span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1041" o:ole="" style="height: 30pt; width: 78pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image017.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1041" DrawAspect="Content" ObjectID="_1475121103"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">e.   </span><!--[endif]--><span lang="IN"><span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1042" o:ole="" style="height: 26.25pt; width: 69.75pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image018.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1042" DrawAspect="Content" ObjectID="_1475121104"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Pilihan Ganda Nomor 19 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 6pt 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoNormal" style="text-align: justify;"> <br /></div> <div class="MsoListParagraphCxSpFirst" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify; text-indent: -21.3pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><b><span lang="IN">II.<span style="font-weight: normal;">    </span></span></b><!--[endif]--><b><span lang="IN">TULIS JAWABAN AKHIR DARI SOAL DI BAWAH INI<o:p></o:p></span></b></span></div> <div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <b><span lang="IN"><span style="font-family: inherit;">Setiap jawaban yang benar mendapat nilai 2, yang salah atau kosong mendapat nilai 0<o:p></o:p></span></span></b></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">1.   </span><!--[endif]--><span lang="SV">Tentukan suku konstan dari bentuk pangkat <span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1043" o:ole="" style="height: 30.75pt; width: 57pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image019.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1043" DrawAspect="Content" ObjectID="_1475121105"> </o:OLEObject> </xml><![endif]--></span><span lang="IN">.<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Isian Singkat Nomor 1 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 3.4pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">2.   </span><!--[endif]--><span lang="IN">Untuk memproduksi x unit barang perhari diperlukan biaya x</span>^{<span lang="IN">2</span>}<span lang="IN"> </span><span lang="IN">-</span><span lang="IN"> 4018x. Jika barang tersebut harus diproduksi maka biaya produksi per unit paling rendah tercapai bila per hari diproduksi .... unit barang. <o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Isian Singkat Nomor 2 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">3.   </span><!--[endif]--><span lang="SV">Diketahui barisan bilangan </span><span lang="IN">a</span>_{<span lang="IN">n</span>}<span lang="SV"> dengan n = 1, 2, 3, …, sedemikian sehingga </span><span lang="IN">2a</span>_{<span lang="IN">n+1</span>}<span lang="IN"> </span><span lang="IN">– 2a</span>_{<span lang="IN">n</span>}<span lang="IN"> = 1</span><span lang="SV"> dengan </span><span lang="IN">a</span>_{<span lang="IN">1</span>}<span lang="IN"> = 1,</span><span lang="IN"> </span><span lang="SV">tentukan</span><span lang="IN"> nilai</span><span lang="IN"> </span><span lang="IN">a</span>_{<span lang="IN">2009</span>}<span lang="IN">.<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Isian Singkat Nomor 3 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">4.   </span><!--[endif]--><span lang="SV">Hitung</span><span lang="IN">lah</span><span lang="IN"> </span><span lang="SV">2009</span>^{<span lang="SV">4</span>}^{<span lang="SV"> </span>}<span lang="SV">– 2010</span>^{<span lang="SV">2</span>}<span lang="SV">.2008</span>^{<span lang="SV">2</span>}<span lang="IN">. <o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Isian Singkat Nomor 4 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">5.   </span><!--[endif]--><span lang="IN">Peluang seseorang akan hidup 10 tahun lagi adalah <span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1044" o:ole="" style="height: 26.25pt; width: 11.25pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image020.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1044" DrawAspect="Content" ObjectID="_1475121106"> </o:OLEObject> </xml><![endif]-->, dan peluang istrinya akan hidup 10 tahun lagi adalah <span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1045" o:ole="" style="height: 26.25pt; width: 11.25pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image021.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1045" DrawAspect="Content" ObjectID="_1475121107"> </o:OLEObject> </xml><![endif]-->, tentukan peluang keduanya akan hidup 10 tahun lagi!<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Isian Singkat Nomor 5 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">6.   </span><!--[endif]--><span lang="IN">Dikketahui </span><span lang="IN">D</span><span lang="IN">ABC samasisi, PE = 1, PQ = 3 dan AE = CD, maka panjang AD adalah .…<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Isian Singkat Nomor 6 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <v:shape id="Picture_x0020_37" o:spid="_x0000_s1026" style="height: 154.5pt; left: 0px; margin-left: 115.8pt; margin-top: 5.25pt; position: absolute; text-align: justify; visibility: visible; width: 234.75pt; z-index: -3;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image022.png"><span style="font-family: inherit;"> </span></v:imagedata></v:shape><span lang="IN"><span style="font-family: inherit;"><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">7.   </span><!--[endif]--><span lang="IN">Sebuah perusahaan menghasilkan x produksi dengan biaya total 20 + 0,9x</span>^{<span lang="IN">2</span>}<span lang="IN"> rupiah. Jika produk tersebut terjual dengan harga Rp.360,00 untuk setiap produknya,maka laba maksimalnya adalah ....<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Isian Singkat Nomor 7 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 3.4pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">8.   </span><!--[endif]--><span lang="IN">Luas suatu segitiga siku-siku adalah </span><span lang="PT-BR">7 cm</span>^{<span lang="PT-BR">2</span>}<span lang="IN">. Sedangkan panjang diagonalnya adalah 6 cm. Berapa keliling segitiga itu?<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Isian Singkat Nomor 8 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">9.   </span><!--[endif]--><span lang="SV">Jika akar-akar bilangan bulat dari persamaan kuadrat </span><span lang="IN">x</span>^{<span lang="IN">2</span>}<span lang="IN"> </span><span lang="IN">-</span><span lang="IN"> (k + 1)x + k + 3 = 0</span><span lang="SV"> mempunyai perbandingan 1</span><span lang="SV"> </span><span lang="SV">:</span><span lang="SV"> </span><span lang="SV">2, maka nilai </span><span lang="IN">k</span><span lang="SV"> adalah ...</span><span lang="IN">.<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Isian Singkat Nomor 9 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">10.</span><!--[endif]--><span lang="IN">Tentukan semua pasangan bilangan (x, y) sedemikian sehingga jumlah (x + y), hasil kali (xy) dan hasil bagi <span style="mso-text-raise: -13.0pt; position: relative; top: 13.0pt;"><v:shape id="_x0000_i1046" o:ole="" style="height: 32.25pt; width: 24pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image023.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1046" DrawAspect="Content" ObjectID="_1475121108"> </o:OLEObject> </xml><![endif]--> semuanya bernilai sama!<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Isian Singkat Nomor 10 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">11.</span><!--[endif]--><span lang="IN">A dan B bermain kelereng. Setelah permainan pertama, kelereng A tinggal <span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1047" o:ole="" style="height: 26.25pt; width: 11.25pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image021.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1047" DrawAspect="Content" ObjectID="_1475121109"> </o:OLEObject> </xml><![endif]--> dari banyak kelerengnya pada awal permainan. Setelah permainan kedua, kelereng B tinggal <span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1048" o:ole="" style="height: 26.25pt; width: 11.25pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image021.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1048" DrawAspect="Content" ObjectID="_1475121110"> </o:OLEObject> </xml><![endif]--> dari banyak kelerengnya pada akhir permainan pertama. Setelah pemainan ketiga banyak kelereng A berkurang 10 dari banyak kelereng A pada akhir permainan sebelumnya. Jika sekarang banyak kelereng A adalah 105 dan banyak kelereng B adalah 75, maka banyaknya kelereng A dan B mula-mula adalah ….<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Isian Singkat Nomor 11 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">12.</span><!--[endif]--></span><v:group coordorigin="3660,1326" coordsize="2745,2595" id="_x0000_s1027" style="height: 129.75pt; left: 0; margin-left: 165.6pt; margin-top: 23.35pt; position: absolute; text-align: left; width: 137.25pt; z-index: 2;"> <v:shape id="Picture_x0020_13" o:spid="_x0000_s1028" style="height: 2085px; left: 3930px; position: absolute; text-align: justify; top: 1445px; visibility: visible; width: 2100px;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image024.png"><span style="font-family: inherit;"> </span></v:imagedata></v:shape></v:group></div> <table cellpadding="0" cellspacing="0" style="text-align: justify; width: 100%px;"> <tbody> <tr> <td><!--[endif]--> <div> <div class="MsoNormal"> <span lang="IN"><span style="font-family: inherit;">A<o:p></o:p></span></span></div> </div> <!--[if !mso]--></td> </tr> </tbody></table> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <v:group coordorigin="3660,1326" coordsize="2745,2595" style="height: 129.75pt; left: 0; margin-left: 165.6pt; margin-top: 23.35pt; position: absolute; text-align: left; width: 137.25pt; z-index: 2;"><v:group coordorigin="2340,4860" coordsize="2745,2595" id="_x0000_s1029" style="height: 2595; left: 3660; position: absolute; top: 1326; width: 2745;"> <v:shapetype coordsize="21600,21600" id="_x0000_t202" o:spt="202" path="m,l,21600r21600,l21600,xe"><span style="font-family: inherit;"> <v:stroke joinstyle="miter"> <v:path gradientshapeok="t" o:connecttype="rect"> </v:path></v:stroke></span></v:shapetype><v:shape filled="f" id="_x0000_s1030" stroked="f" style="height: 510px; left: 2340px; position: absolute; text-align: justify; top: 6945px; width: 525px;" type="#_x0000_t202"> <span style="font-family: inherit;"><v:textbox> <!--[if !mso]--> <!--[endif]--></v:textbox> </span></v:shape></v:group></v:group></div> <table cellpadding="0" cellspacing="0" style="text-align: justify; width: 100%px;"> <tbody> <tr> <td><!--[endif]--> <div> <div class="MsoNormal"> <span lang="IN"><span style="font-family: inherit;">B<o:p></o:p></span></span></div> </div> <!--[if !mso]--></td> </tr> </tbody></table> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <v:group coordorigin="3660,1326" coordsize="2745,2595" style="height: 129.75pt; left: 0; margin-left: 165.6pt; margin-top: 23.35pt; position: absolute; text-align: left; width: 137.25pt; z-index: 2;"><v:group coordorigin="2340,4860" coordsize="2745,2595" style="height: 2595; left: 3660; position: absolute; top: 1326; width: 2745;"><v:shape filled="f" id="_x0000_s1031" stroked="f" style="height: 510px; left: 4560px; position: absolute; text-align: justify; top: 6945px; width: 525px;" type="#_x0000_t202"> <span style="font-family: inherit;"><v:textbox> <!--[if !mso]--> <!--[endif]--></v:textbox> </span></v:shape></v:group></v:group></div> <table cellpadding="0" cellspacing="0" style="text-align: justify; width: 100%px;"> <tbody> <tr> <td><!--[endif]--> <div> <div class="MsoNormal"> <span lang="IN"><span style="font-family: inherit;">C<o:p></o:p></span></span></div> </div> <!--[if !mso]--></td> </tr> </tbody></table> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <v:group coordorigin="3660,1326" coordsize="2745,2595" style="height: 129.75pt; left: 0; margin-left: 165.6pt; margin-top: 23.35pt; position: absolute; text-align: left; width: 137.25pt; z-index: 2;"><v:group coordorigin="2340,4860" coordsize="2745,2595" style="height: 2595; left: 3660; position: absolute; top: 1326; width: 2745;"><v:shape filled="f" id="_x0000_s1032" stroked="f" style="height: 510px; left: 4485px; position: absolute; text-align: justify; top: 4860px; width: 525px;" type="#_x0000_t202"> <span style="font-family: inherit;"><v:textbox> <!--[if !mso]--> <!--[endif]--></v:textbox> </span></v:shape></v:group></v:group></div> <table cellpadding="0" cellspacing="0" style="text-align: justify; width: 100%px;"> <tbody> <tr> <td><!--[endif]--> <div> <div class="MsoNormal"> <span lang="IN"><span style="font-family: inherit;">D<o:p></o:p></span></span></div> </div> <!--[if !mso]--></td> </tr> </tbody></table> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <v:group coordorigin="3660,1326" coordsize="2745,2595" style="height: 129.75pt; left: 0; margin-left: 165.6pt; margin-top: 23.35pt; position: absolute; text-align: left; width: 137.25pt; z-index: 2;"><v:group coordorigin="2340,4860" coordsize="2745,2595" style="height: 2595; left: 3660; position: absolute; top: 1326; width: 2745;"><v:shape filled="f" id="_x0000_s1033" stroked="f" style="height: 510px; left: 2430px; position: absolute; text-align: justify; top: 4860px; width: 525px;" type="#_x0000_t202"> <span style="font-family: inherit;"><v:textbox> <!--[if !mso]--> <!--[endif]--></v:textbox> </span></v:shape></v:group></v:group><span lang="IN"><span style="font-family: inherit;">Tentukan luas daerah yang diarsir pada gambar di bawah ini, jika ABCD adalah persegi dengan panjang sisi 3 cm!<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoNormal" style="text-align: justify;"> <br /></div> <div class="MsoNormal" style="text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 18pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Isian Singkat Nomor 12 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoNormal" style="text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">13.</span><!--[endif]--><span lang="IN">x</span>_{<span lang="IN">a</span>}<span lang="IN"> adalah rata-rata dari x</span>_{<span lang="IN">1</span>}<span lang="IN">, x</span>_{<span lang="IN">2</span>}<span lang="IN">, ..., x</span>_{<span lang="IN">8</span>}<span lang="IN">, setelah ditambah x</span>_{<span lang="IN">9</span>}<span lang="IN"> dan x</span>_{<span lang="IN">10</span>}<span lang="IN"> rata-rata menjadi x</span>_{<span lang="IN">b</span>}<span lang="IN">. Berapakah rata-rata dari x</span>_{<span lang="IN">9</span>}<span lang="IN"> dan x</span>_{<span lang="IN">10</span>}_{<span lang="IN"> </span>}<span lang="IN">?<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Isian Singkat Nomor 13 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">14.</span><!--[endif]--><span lang="IN">Diketahui 2</span>^{<span lang="IN">x</span>}<span lang="IN"> = 3, 3</span>^{<span lang="IN">y</span>}<span lang="IN"> = 4, dan 4</span>^{<span lang="IN">z</span>}<span lang="IN"> = 5,  maka 2</span>^{<span lang="IN">xyz + 1</span>}<span lang="IN"> </span><span lang="IN">= .…<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Isian Singkat Nomor 14 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 3.4pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify; text-indent: -17.85pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">15.</span><!--[endif]--><span lang="IN">Jumlah dua buah bilangan bulat adalah 2, jika jumlah kebalikan dari kedua bilangan tersebut adalah <span style="mso-text-raise: -10.0pt; position: relative; top: 10.0pt;"><v:shape id="_x0000_i1049" o:ole="" style="height: 26.25pt; width: 24.75pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image025.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1049" DrawAspect="Content" ObjectID="_1475121111"> </o:OLEObject> </xml><![endif]--> berapakah selisih bilangan yang terbesar dan terkecil dari kedua bilangan tersebut?<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Isian Singkat Nomor 15 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoNormal" style="text-align: justify;"> <br /></div> <div class="MsoNormal" style="text-align: justify;"> <br /></div> <div class="MsoListParagraphCxSpFirst" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify; text-indent: -21.3pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><b><span lang="IN">III.<span style="font-weight: normal;">  </span></span></b><!--[endif]--><b><span lang="IN">SELESAIKAN DENGAN URAIAN LENGKAP SOAL DI BAWAH INI<o:p></o:p></span></b></span></div> <div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <b><span lang="IN"><span style="font-family: inherit;">Setiap jawaban mendapat nilai berkisar antara 0 – 10<o:p></o:p></span></span></b></div> <div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify; text-indent: -14.2pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">1.  </span><!--[endif]--><span lang="IN">S</span>_{<span lang="IN">n</span>}<span lang="IN"> adalah jumlah n suku pertama deret aritmatika dan a adalah suku pertama deret tersebut. Jika S</span>_{<span lang="IN">a</span>}<span lang="IN"> = a, tentukan nilai a.<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Uraian Nomor 1 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 7.1pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify; text-indent: -14.2pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">2.  </span><!--[endif]--><span lang="IN">D</span><span lang="IT">iketahui </span><span lang="FI">D</span><span lang="IT">ABC dengan sisi AB = </span><span lang="IN">c</span><span lang="IT"> cm,</span><span lang="IT"> </span><span lang="IT">sisi BC = </span><span lang="IN">a</span><span lang="IT"> cm</span><span lang="IN">,</span><span lang="IT"> dan sisi </span><span lang="PT-BR">AC = </span><span lang="IN">b</span><span lang="PT-BR"> cm</span><span lang="IN">.</span><span lang="PT-BR"> Buktikan bahwa lingkaran luar segitiga itu mempunyai jari-jari </span><span lang="IN">R = <span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"><v:shape id="_x0000_i1050" o:ole="" style="height: 27.75pt; width: 78pt;" type="#_x0000_t75"> <v:imagedata o:title="" src="file:///C:\Users\INTEL\AppData\Local\Temp\msohtmlclip1\01\clip_image026.wmz"> </v:imagedata></v:shape></span><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1050" DrawAspect="Content" ObjectID="_1475121112"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Uraian Nomor 2 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify; text-indent: -14.2pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">3.  </span><!--[endif]--><span lang="IN">Pemerintah Kota Semarang tahun ini memberangkatkan 10000 calon jamaah haji ke Tanah Suci dengan klasifikasi jenis kelamin (pria, wanita), usia (tua, muda ), dan status (nikah, bujang). </span><span lang="PT-BR">Di</span><span lang="IN"> antara calon jamaah haji itu di</span><span lang="PT-BR">ketahui ada 3000 </span><span lang="IN">berusia</span><span lang="PT-BR"> muda, 4600 pria, 7000 nikah, 1320 pria muda, 3010 pria nikah, 1400 muda nikah, dan 600 pria muda dan nikah. Tentukan ada berapa calon j</span><span lang="IN">a</span><span lang="PT-BR">maaah haji yang berklasifikasi wanita muda dan bujang?</span><span lang="IN"><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 18pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Uraian Nomor 3 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify; text-indent: -14.2pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">4.  </span><!--[endif]--><span lang="IN">Suatu SMK akan mengadakan studi wisata. </span>Panitia merencanakan akan menyewa bus, bus AC ataupun bus non AC, paling banyak 10 bus. Kapasitas tempat duduk bus<span lang="IN"> (selain</span> tempat duduk untuk supir dan kondektur<span lang="IN">),</span><span lang="IN"> </span><span lang="IN">pada bus </span>AC 42 orang dan <span lang="IN">pada </span>bus non AC 50 orang. Jumlah siswa yang ikut studi <span lang="IN">wisata</span> minimal 448 orang. Direncanakan di setiap bus ada 2 orang guru ikut sebagai pendamping. <span lang="IN">H</span>arga sewa bus <span lang="IN">yang telah disepakati adalah bus </span>AC Rp1.250.000,00 dan bus non AC Rp1.000.000,00. <span lang="IN"><o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">a.    </span><!--[endif]--><span lang="SV">Buatlah model matematika dari permasalahan tersebut</span><span lang="IN">!<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">b.    </span><!--[endif]--><span lang="SV">Tentukan himpunan penyelesaiannya</span><span lang="IN">!<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 39.25pt; text-align: justify; text-indent: -18pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">c.    </span><!--[endif]--><span lang="IN">Berapakah banyak bus AC dan bus non AC yang harus disewa agar ke 440 siswa dan guru-guru pendampingnya dapat terangkut tetapi total ongkos sewa bus seminimal mungkin!<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Uraian Nomor 4 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)<o:p></o:p></span></span></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.25pt; text-align: justify;"> <br /></div> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify; text-indent: -14.2pt;"> <!--[if !supportLists]--><span style="font-family: inherit;"><span lang="IN">5.  </span><!--[endif]--><span lang="SV">Jika </span><span lang="IN">x</span><span lang="SV"> adalah bilangan bulat positif dan </span><span lang="IN"><o:p></o:p></span></span></div> <div class="MsoNormal" style="margin-left: 36.0pt; text-align: justify;"> <span style="font-family: inherit;"><span lang="PT-BR">2</span><span lang="IN">a</span><span lang="PT-BR"> + </span><span lang="IN">x</span><span lang="PT-BR"> = </span><span lang="IN">b</span><span lang="PT-BR"><o:p></o:p></span></span></div> <div class="MsoNormal" style="margin-left: 36.0pt; text-align: justify;"> <span style="font-family: inherit;"><span lang="IN">x</span><span lang="PT-BR"> + </span><span lang="IN">b</span><span lang="PT-BR">   = </span><span lang="IN">a</span><span lang="PT-BR"><o:p></o:p></span></span></div> <div class="MsoNormal" style="margin-left: 36.0pt; text-align: justify;"> <span style="font-family: inherit;"><span lang="IN">a</span><span lang="PT-BR"> + </span><span lang="IN">b</span><span lang="PT-BR">   = </span><span lang="IN">c</span><span lang="PT-BR"><o:p></o:p></span></span></div> <div class="MsoNormal" style="margin-left: 20.3pt; text-align: justify;"> <span style="font-family: inherit;"><span lang="PT-BR">nilai terbesar yang mungkin dari </span><span lang="IN">a</span><span lang="PT-BR"> + </span><span lang="IN">b</span><span lang="PT-BR"> + </span><span lang="IN">c</span><span lang="PT-BR"> =</span><span lang="IN"> .</span><span lang="PT-BR">... <o:p></o:p></span></span></div> <div class="MsoNormal" style="text-align: justify;"> <br /></div> <br /> <div class="MsoListParagraph" style="margin: 0cm 0cm 0.0001pt 21.3pt; text-align: justify;"> <span lang="IN"><span style="font-family: inherit;">(Soal Uraian Nomor 5 Olimpiade  Sains Terapan  SMK Propinsi Jawa Tengah 2009)</span><span style="font-family: Bookman Old Style, serif;"><o:p></o:p></span></span></div> </p>

I.       BERILAH TANDA SILANG PADA  JAWABAN  YANG BENAR Setiap jawaban yang benar mendapat nilai 1, yang salah atau kosong mendapat nilai...