Soal Latihan
Buku pelajaran, buku panduan dan sumber informasi untuk siswa, guru, orang tua.
https://www.erlangga.co.id/index.php
2024-05-18T21:52:15Z
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Bangun Datar
2015-01-07T03:13:21Z
2015-01-07T03:13:21Z
https://www.erlangga.co.id/index.php?option=com_content&view=article&id=8113:bangun-datar&catid=150:sd&Itemid=309
Matematika - SD Kelas 5
webmaster2@erlangga.co.id
<p>Perhatikan gambar berikut.</p><p><img src="http://erlangga.co.id/images/stories/baru/bangun datar .png" mce_src="https://www.erlangga.co.id/images/stories/baru/bangun datar .png" alt="" height="253" width="352"></p><p>Pasangan bangun datar yang sebangun adalah . . . .</p><p><b>Pembahasan:</b></p><p>Semua bangun berbentuk persegi panjang.<br />Perhatikan perbandingan panjang sisi persegi panjang.<br />(1) → 18 cm : 9 cm = 2 : 1<br />(2) → 20 cm : 11 cm = 20 : 11<br />(3) → 9 cm : 8 cm = 9 : 8<br />(4) → 6 cm : 3 cm = 2 : 1</p><p>Persegi panjang dengan perbandingan yang sama adalah bangun (1) dan (4).<br />Jadi, bangun datar yang sebangun adalah (1) dan (4).</p><p>Dikutip dari buku Erlangga X-Press US/M SD/MI 2015 Matematika disusun oleh Gunanto, M.Pd. dan Wini Kristianti, M.Si<b><i>.</i></b></p><p><br /></p>
<p>Perhatikan gambar berikut.</p><p><img src="http://erlangga.co.id/images/stories/baru/bangun datar .png" mce_src="https://www.erlangga.co.id/images/stories/baru/bangun datar .png" alt="" height="253" width="352"></p><p>Pasangan bangun datar yang sebangun adalah . . . .</p><p><b>Pembahasan:</b></p><p>Semua bangun berbentuk persegi panjang.<br />Perhatikan perbandingan panjang sisi persegi panjang.<br />(1) → 18 cm : 9 cm = 2 : 1<br />(2) → 20 cm : 11 cm = 20 : 11<br />(3) → 9 cm : 8 cm = 9 : 8<br />(4) → 6 cm : 3 cm = 2 : 1</p><p>Persegi panjang dengan perbandingan yang sama adalah bangun (1) dan (4).<br />Jadi, bangun datar yang sebangun adalah (1) dan (4).</p><p>Dikutip dari buku Erlangga X-Press US/M SD/MI 2015 Matematika disusun oleh Gunanto, M.Pd. dan Wini Kristianti, M.Si<b><i>.</i></b></p><p><br /></p>
Masa Jenis
2014-10-02T02:57:34Z
2014-10-02T02:57:34Z
https://www.erlangga.co.id/index.php?option=com_content&view=article&id=8052:masa-jenis&catid=151:smp&Itemid=310
Fisika - Kelas 7
webmaster2@erlangga.co.id
<p><img src="https://www.erlangga.co.id/images/stories/baru/massa jenis.jpg" mce_src="https://www.erlangga.co.id/images/stories/baru/massa jenis.jpg" border="0"></p>
<p>Dikutip dari buku <b><i>Fisika untuk SMP/MTs Kelas VII </i></b>ditulis oleh Tim Abdi Guru<b><i>. </i></b><a href="http://bukuerlangga.com/buku-kurikulum-2013/5655-ipa-fisika-smp-tag-klsvii-k2013-0035300270.html" mce_href="http://bukuerlangga.com/buku-kurikulum-2013/5655-ipa-fisika-smp-tag-klsvii-k2013-0035300270.html"></a><br mce_bogus="1"></p>
<p><img src="https://www.erlangga.co.id/images/stories/baru/massa jenis.jpg" mce_src="https://www.erlangga.co.id/images/stories/baru/massa jenis.jpg" border="0"></p>
<p>Dikutip dari buku <b><i>Fisika untuk SMP/MTs Kelas VII </i></b>ditulis oleh Tim Abdi Guru<b><i>. </i></b><a href="http://bukuerlangga.com/buku-kurikulum-2013/5655-ipa-fisika-smp-tag-klsvii-k2013-0035300270.html" mce_href="http://bukuerlangga.com/buku-kurikulum-2013/5655-ipa-fisika-smp-tag-klsvii-k2013-0035300270.html"></a><br mce_bogus="1"></p>
Himpunan
2014-10-01T03:11:14Z
2014-10-01T03:11:14Z
https://www.erlangga.co.id/index.php?option=com_content&view=article&id=8046:himpunan&catid=151:smp&Itemid=310
Matematika - Kelas 7
webmaster2@erlangga.co.id
<ol> </ol>
<p>1. Diketahui : S = {1,2,3,4,5,6,7}, A = {1,3,4,7}, dan B = {2,3,5,6,7}.</p>
<ol> </ol>
<p>Tentukan selisih himpunan berikut !</p>
<ol>
<li>A – B </li>
<li>B – A</li>
</ol>
<p><b>Jawab</b></p>
<ol>
<li>Anggota A yang tidak menjadi anggota B adalah 1 dan 4, maka : A – B = {1,4}.</li>
<li>Anggota B yang tidak menjadi anggota A adalah 2,5 dan 6, maka : B – A = {2,5,6}.</li>
</ol>
<p><br /></p>
<ol> </ol>
<p>2. Diketahui : P = {Semua faktor dari 15}, dan</p>
<ol> </ol>
<p>Q = {Bilangan asli kelipatan 4 yang kurang dari 20}.</p>
<p>Dengan mendaftar anggota-anggotanya, tentukan himpunan berikut :</p>
<ol>
<li>P Ç Q</li>
<li>P – Q </li>
<li>Q – P </li>
</ol>
<p><b>Jawab</b></p>
<p>P = {1,3,5,15}</p>
<p>Q = {4,8,12,16}</p>
<ol>
<li>P Ç Q = { }</li>
<li>P – Q = {1,3,5,15} = P</li>
<li>Q – P = {4,8,12,16} = P</li>
</ol>
<p><span style="color: #ff0000;" mce_style="color: #ff0000;"><i>Catatan : Jika P Ç Q = { }, maka selalu berlaku : P – Q = P dan Q – P = Q</i></span></p>
<p>Dikutip dari buku <b><i>Matematika untuk SMP/MTS Kelas VII</i></b><br mce_bogus="1"></p>
<p><br /></p>
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<p class="MsoNormal" style="text-align:center" mce_style="text-align:center" align="center">Catatan :</p>
<p class="MsoListParagraph" style="margin-left:.75in;mso-add-space:auto" mce_style="margin-left:.75in;mso-add-space:auto">Jika P <span style="font-family:Symbol;mso-ascii-font-family:Calibri;mso-ascii-theme-font: minor-latin;mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin; mso-char-type:symbol;mso-symbol-font-family:Symbol" mce_style="font-family:Symbol;mso-ascii-font-family:Calibri;mso-ascii-theme-font: minor-latin;mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin; mso-char-type:symbol;mso-symbol-font-family:Symbol"><span style="mso-char-type: symbol;mso-symbol-font-family:Symbol" mce_style="mso-char-type: symbol;mso-symbol-font-family:Symbol">Ç</span></span> Q = {<span style="mso-spacerun:yes" mce_style="mso-spacerun:yes"> </span>}, maka selalu berlaku : P – Q = P dan Q – P = Q</p>
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font-size:12.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin;} --> <!--[endif] --></div>
<ol> </ol>
<p>1. Diketahui : S = {1,2,3,4,5,6,7}, A = {1,3,4,7}, dan B = {2,3,5,6,7}.</p>
<ol> </ol>
<p>Tentukan selisih himpunan berikut !</p>
<ol>
<li>A – B </li>
<li>B – A</li>
</ol>
<p><b>Jawab</b></p>
<ol>
<li>Anggota A yang tidak menjadi anggota B adalah 1 dan 4, maka : A – B = {1,4}.</li>
<li>Anggota B yang tidak menjadi anggota A adalah 2,5 dan 6, maka : B – A = {2,5,6}.</li>
</ol>
<p><br /></p>
<ol> </ol>
<p>2. Diketahui : P = {Semua faktor dari 15}, dan</p>
<ol> </ol>
<p>Q = {Bilangan asli kelipatan 4 yang kurang dari 20}.</p>
<p>Dengan mendaftar anggota-anggotanya, tentukan himpunan berikut :</p>
<ol>
<li>P Ç Q</li>
<li>P – Q </li>
<li>Q – P </li>
</ol>
<p><b>Jawab</b></p>
<p>P = {1,3,5,15}</p>
<p>Q = {4,8,12,16}</p>
<ol>
<li>P Ç Q = { }</li>
<li>P – Q = {1,3,5,15} = P</li>
<li>Q – P = {4,8,12,16} = P</li>
</ol>
<p><span style="color: #ff0000;" mce_style="color: #ff0000;"><i>Catatan : Jika P Ç Q = { }, maka selalu berlaku : P – Q = P dan Q – P = Q</i></span></p>
<p>Dikutip dari buku <b><i>Matematika untuk SMP/MTS Kelas VII</i></b><br mce_bogus="1"></p>
<p><br /></p>
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<p class="MsoNormal" style="text-align:center" mce_style="text-align:center" align="center">Catatan :</p>
<p class="MsoListParagraph" style="margin-left:.75in;mso-add-space:auto" mce_style="margin-left:.75in;mso-add-space:auto">Jika P <span style="font-family:Symbol;mso-ascii-font-family:Calibri;mso-ascii-theme-font: minor-latin;mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin; mso-char-type:symbol;mso-symbol-font-family:Symbol" mce_style="font-family:Symbol;mso-ascii-font-family:Calibri;mso-ascii-theme-font: minor-latin;mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin; mso-char-type:symbol;mso-symbol-font-family:Symbol"><span style="mso-char-type: symbol;mso-symbol-font-family:Symbol" mce_style="mso-char-type: symbol;mso-symbol-font-family:Symbol">Ç</span></span> Q = {<span style="mso-spacerun:yes" mce_style="mso-spacerun:yes"> </span>}, maka selalu berlaku : P – Q = P dan Q – P = Q</p>
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font-size:12.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin;} --> <!--[endif] --></div>
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https://www.erlangga.co.id/index.php?option=com_content&view=article&id=8044:menyetarakan-persamaan-reaksi-kompleks&catid=152:sma&Itemid=311
Kimia - Kelas 10
webmaster2@erlangga.co.id
<p><img src="https://www.erlangga.co.id/images/stories/baru/menyetarakan persamaan reaksi kompleks 1.jpg" mce_src="https://www.erlangga.co.id/images/stories/baru/menyetarakan persamaan reaksi kompleks 1.jpg" border="0"></p>
<p><img src="https://www.erlangga.co.id/images/stories/baru/menyetarakan%20persamaan%20reaksi%20kompleks%202.jpg" mce_src="https://www.erlangga.co.id/images/stories/baru/menyetarakan%20persamaan%20reaksi%20kompleks%202.jpg" style="border: 0px none;" mce_style="border: 0px none;" border="0" height="271" width="443"></p>
<p><img src="https://www.erlangga.co.id/images/stories/baru/menyetarakan%20persamaan%20reaksi%20kompleks%203.jpg" mce_src="https://www.erlangga.co.id/images/stories/baru/menyetarakan%20persamaan%20reaksi%20kompleks%203.jpg" style="border: 0px none;" mce_style="border: 0px none;" border="0" height="349" width="451"></p>
<p>Dikutip dari buku <b><i>KIMIA 1 untuk SMA/MA Kelas X Berdasarkan Kurikulum 2013</i></b> yang disusun oleh Drs. Unggul Sudarmo, M.Pd. </p>
<p><img src="https://www.erlangga.co.id/images/stories/baru/menyetarakan persamaan reaksi kompleks 1.jpg" mce_src="https://www.erlangga.co.id/images/stories/baru/menyetarakan persamaan reaksi kompleks 1.jpg" border="0"></p>
<p><img src="https://www.erlangga.co.id/images/stories/baru/menyetarakan%20persamaan%20reaksi%20kompleks%202.jpg" mce_src="https://www.erlangga.co.id/images/stories/baru/menyetarakan%20persamaan%20reaksi%20kompleks%202.jpg" style="border: 0px none;" mce_style="border: 0px none;" border="0" height="271" width="443"></p>
<p><img src="https://www.erlangga.co.id/images/stories/baru/menyetarakan%20persamaan%20reaksi%20kompleks%203.jpg" mce_src="https://www.erlangga.co.id/images/stories/baru/menyetarakan%20persamaan%20reaksi%20kompleks%203.jpg" style="border: 0px none;" mce_style="border: 0px none;" border="0" height="349" width="451"></p>
<p>Dikutip dari buku <b><i>KIMIA 1 untuk SMA/MA Kelas X Berdasarkan Kurikulum 2013</i></b> yang disusun oleh Drs. Unggul Sudarmo, M.Pd. </p>
Debit Air
2014-10-01T02:13:54Z
2014-10-01T02:13:54Z
https://www.erlangga.co.id/index.php?option=com_content&view=article&id=8043:debit-air&catid=150:sd&Itemid=309
Matematika - SD Kelas 6
webmaster2@erlangga.co.id
<p><img src="https://www.erlangga.co.id/images/stories/baru/debit air.jpg" mce_src="https://www.erlangga.co.id/images/stories/baru/debit air.jpg" border="0"><br />Dikutip dari buku Erlangga X-Press US/M SD/MI 2015 Matematika disusun oleh Gunanto, M.Pd. dan Wini Kristianti, M.Si<b><i>.</i></b><a href="http://bukuerlangga.com/sd/5349-erlangga-x-pressun-sd-mi-2014-matematika-0025100530.html" mce_href="http://bukuerlangga.com/sd/5349-erlangga-x-pressun-sd-mi-2014-matematika-0025100530.html"></a><br mce_bogus="1"></p>
<p><img src="https://www.erlangga.co.id/images/stories/baru/debit air.jpg" mce_src="https://www.erlangga.co.id/images/stories/baru/debit air.jpg" border="0"><br />Dikutip dari buku Erlangga X-Press US/M SD/MI 2015 Matematika disusun oleh Gunanto, M.Pd. dan Wini Kristianti, M.Si<b><i>.</i></b><a href="http://bukuerlangga.com/sd/5349-erlangga-x-pressun-sd-mi-2014-matematika-0025100530.html" mce_href="http://bukuerlangga.com/sd/5349-erlangga-x-pressun-sd-mi-2014-matematika-0025100530.html"></a><br mce_bogus="1"></p>
Skala
2014-10-01T01:46:20Z
2014-10-01T01:46:20Z
https://www.erlangga.co.id/index.php?option=com_content&view=article&id=8042:skala&catid=150:sd&Itemid=309
Matematika - SD Kelas 5
webmaster2@erlangga.co.id
<p><img src="https://www.erlangga.co.id/images/stories/baru/skala.jpg" mce_src="https://www.erlangga.co.id/images/stories/baru/skala.jpg" border="0"></p>
<p>Dikutip dari buku <b><i>Terampil Berhitung Matematika untuk SD Kelas 5. </i></b></p>
<p><img src="https://www.erlangga.co.id/images/stories/baru/skala.jpg" mce_src="https://www.erlangga.co.id/images/stories/baru/skala.jpg" border="0"></p>
<p>Dikutip dari buku <b><i>Terampil Berhitung Matematika untuk SD Kelas 5. </i></b></p>
Keliling dan Luas Jajargenjang
2014-09-29T07:01:09Z
2014-09-29T07:01:09Z
https://www.erlangga.co.id/index.php?option=com_content&view=article&id=8041:keliling-dan-luas-jajargenjang&catid=150:sd&Itemid=309
Matematika - SD Kelas 4
webmaster2@erlangga.co.id
<p><b>Contoh soal : </b></p>
<p>Hitung keliling dan luas jajargenjang <i>ABCD </i>berikut ini!</p>
<p><img src="https://www.erlangga.co.id/images/stories/baru/keliling dan luas jajargenjang.jpg" mce_src="https://www.erlangga.co.id/images/stories/baru/keliling dan luas jajargenjang.jpg" border="0"></p>
<p><b><i>Jawab:</i></b></p>
<p>Pada Δ<i>BEC</i>, siku-siku di <i>E</i>, diperoleh:</p>
<p><i>t</i>2 = 132 – 52 = 169 – 25 = 144</p>
<p><i>t </i>= √144 = 12 cm</p>
<p><br /></p>
<p>Keliling jajargenjang <i>ABCD </i>= 2 × (<i>AB </i>+ <i>BC</i>)</p>
<p>= 2 × (22 + 13)</p>
<p>= 2 × 35</p>
<p>= 70 cm</p>
<p><br /></p>
<p>Luas jajargenjang <i>ABCD </i>= <i>AB </i>× <i>BE</i></p>
<p>= 22 × 12</p>
<p>= 264 cm<sup>2</sup></p>
<p><br /></p>
<p>Dikutip dari buku <b><i>Three In One Matematika Jilid 4. </i></b></p>
<p><b>Contoh soal : </b></p>
<p>Hitung keliling dan luas jajargenjang <i>ABCD </i>berikut ini!</p>
<p><img src="https://www.erlangga.co.id/images/stories/baru/keliling dan luas jajargenjang.jpg" mce_src="https://www.erlangga.co.id/images/stories/baru/keliling dan luas jajargenjang.jpg" border="0"></p>
<p><b><i>Jawab:</i></b></p>
<p>Pada Δ<i>BEC</i>, siku-siku di <i>E</i>, diperoleh:</p>
<p><i>t</i>2 = 132 – 52 = 169 – 25 = 144</p>
<p><i>t </i>= √144 = 12 cm</p>
<p><br /></p>
<p>Keliling jajargenjang <i>ABCD </i>= 2 × (<i>AB </i>+ <i>BC</i>)</p>
<p>= 2 × (22 + 13)</p>
<p>= 2 × 35</p>
<p>= 70 cm</p>
<p><br /></p>
<p>Luas jajargenjang <i>ABCD </i>= <i>AB </i>× <i>BE</i></p>
<p>= 22 × 12</p>
<p>= 264 cm<sup>2</sup></p>
<p><br /></p>
<p>Dikutip dari buku <b><i>Three In One Matematika Jilid 4. </i></b></p>
Logaritma
2014-06-20T06:44:39Z
2014-06-20T06:44:39Z
https://www.erlangga.co.id/index.php?option=com_content&view=article&id=7908:logaritma&catid=152:sma&Itemid=311
Matematika - IPS
webmaster2@erlangga.co.id
<p>Nilai dari <sup>2</sup>log 12 – <sup>2</sup>log 24 + <sup>2</sup>log 16 adalah . . . .</p>
<p><b>Pembahasan :</b></p>
<p><sup>2</sup>log 12 – <sup>2</sup>log 24 + <sup>2</sup>log 16 = <sup>2</sup>log <img src="https://www.erlangga.co.id/images/stories/baru/logaritma.png" mce_src="https://www.erlangga.co.id/images/stories/baru/logaritma.png" border="0" height="32" width="56"></p>
<p>= <sup>2</sup>log 8 = <sup>2</sup>log 23<br /> = 3</p>
<p><br /></p>
<p><i>Dikutip dari Permit UN Matematika SMA/MA Program IPS</i><br mce_bogus="1"></p>
<p>Nilai dari <sup>2</sup>log 12 – <sup>2</sup>log 24 + <sup>2</sup>log 16 adalah . . . .</p>
<p><b>Pembahasan :</b></p>
<p><sup>2</sup>log 12 – <sup>2</sup>log 24 + <sup>2</sup>log 16 = <sup>2</sup>log <img src="https://www.erlangga.co.id/images/stories/baru/logaritma.png" mce_src="https://www.erlangga.co.id/images/stories/baru/logaritma.png" border="0" height="32" width="56"></p>
<p>= <sup>2</sup>log 8 = <sup>2</sup>log 23<br /> = 3</p>
<p><br /></p>
<p><i>Dikutip dari Permit UN Matematika SMA/MA Program IPS</i><br mce_bogus="1"></p>
Invers Matriks Persegi
2014-06-16T07:57:41Z
2014-06-16T07:57:41Z
https://www.erlangga.co.id/index.php?option=com_content&view=article&id=7905:invers-matriks-persegi&catid=152:sma&Itemid=311
Matematika - Kelas 10
webmaster2@erlangga.co.id
<p><img src="https://www.erlangga.co.id/images/stories/baru/invers.png" mce_src="https://www.erlangga.co.id/images/stories/baru/invers.png" border="0" height="204" width="359"></p>
<p><i>Dikutip dari buku Matematika SMA/MA Kelas X Semester 2 (Jilid 1B)</i></p>
<p><img src="https://www.erlangga.co.id/images/stories/baru/invers.png" mce_src="https://www.erlangga.co.id/images/stories/baru/invers.png" border="0" height="204" width="359"></p>
<p><i>Dikutip dari buku Matematika SMA/MA Kelas X Semester 2 (Jilid 1B)</i></p>