Halo, Squad. Tidak terasa ya sebentar lagi semester ganjil di tahun ajaran ini sudah akan berakhir. Kamu sudah siap menghadapi Ujian Akhir Semester mendatang? Nah, untuk itu Ruangguru sudah menyiapkan latihan dan pembahasan soal UAS Matematika kelas X. Yuk, langsung disimak!
1.Topik : Eksponen
Bentuk sederhana dari adalah….
Kunci : A
Pembahasan :
2. Topik : Eksponen
Nilai x dari persamaan adalah ….
- 2
- 4
- 6
- 10
- 16
Jawaban : E
Pembahasan :
Bilangan berpangkat di soal adalah bentuk permasalahan bilangan berpangkat pecahan, sehingga cara penyelesaiannya sebagai berikut :
3.Topik : Eksponen
Fungsi eksponensial dari grafik di bawah ini adalah ….
- f(x)=32x
- f(x)=3x
- f(x)=3-x
- f(x)=2x
- f(x)=2-x
Jawaban: B
Pembahasan
Pada grafik di atas dapat dilihat melalui dua titik, yaitu (0,1) dan (1,3). Untuk mendapatkan fungsi eksponensial tersebut, kita harus mensubstitusikan kedua titik yang ada ke dalam persamaan fungsi eksponensial secara umum f(x)=b × ax untuk mencari nilai a dan b, sehingga:
Untuk titik (0,1) didapat f(x)=b × ax
1=b × a0
1=b × 1
b=1
Untuk titik (1,3) didapat f(x)=b × ax=1 × ax=ax (masukkan nilai b = 1)
f(x)=ax
3=a1
3=a
Maka, fungsi eksponensial dari grafik tersebut adalah
f(x) = b × ax
f(x) =1 × 3x
f(x) =3x
4.Topik : Bilangan bentuk akar
Bentuk sederhana dari bentuk akar adalah….
Jawaban : A
Pembahasan :
5.Topik : Bilangan Bentuk Akar
Urutan bilangan dari yang terkecil hingga yang terbesar adalah ….
A.
B.
C.
D.
E.
Jawaban: B
Pembahasan:
Maka urutan dari yang terkecil ke yang terbesar adalah
6.Topik : Logaritma
Hasil dari adalah ….
- 1
- 2
- 3
- 4
- 5
Jawaban: A
Pembahasan:
7.Topik : Logaritma
Jika diketahui Maka nilai dari adalah ….
Jawaban: A
Pembahasan:
8.Topik : Persamaan dan Pertidaksamaan Linier
Nilai x dari persamaan linier 7x+23=4x-1 adalah ….
- -3
- -1
- 0
- 1
- 3
Jawaban: D
Pembahasan
7x+23=4x-1
7x+2=3(4x-1)
7x+2=12x-3
7x-12x=-3-2
-5x=-5
9.Topik : Fungsi Kuadrat
Persamaan kuadrat yang melalui titik-titik (-3, -1), (-1, -5), dan (2, 4) adalah….
- y = x2 + 2x – 4
- y = x2 – 3x – 4
- y = 2x2 + 2x + 5
- y = x2 – 3x + 5
- y = 2x2 + 2x – 5
Jawaban : A
Pembahasan :
Persamaan parabola : y = ax2 + bx + c
Titik (-3, -1) → 9a – 3b + c = -1 ………….(1)
Titik (-1, -5) → a – b + c = -5 …………….(2)
Titik (2, 4) → 4a + 2b + c = 4 …………..(3)
Eliminasi pers. (1) dan (2) :
9a – 3b + c = -1
a – b + c = -5 –
8a – 2b = 4
4a – b = 2 ………………..(4)
eliminasi persamaan (2) dan (3) :
a – b + c = -5
4a + 2b + c = 4 –
-3a – 3b = -9
a + b = 3 ………………..(5)
eliminasikan persamaan (4) dan (5) :
4a – b = 2
a + b = 3 +
5a = 5
a = 1
subsitusikan ke persamaan (5) :
a + b = 3
1 + b = 3
b = 2
subsitusikan ke persamaan (3)
4a + 2b + c = 4
4(1) + 2(2) + c = 4
c = -4
Persamaan kuadratnya : y = x2 + 2x – 4
10.Topik : Sistem Persamaan Linier Kuadrat Dua Variabel (SPLKDV)
Himpunan penyelesaian antara kurva x2+y2-2xy-1=0 dan garis x-2y-2=0 adalah ….
- (0, 1) dan (4,-3)
- (0, 1) dan (-4,-3)
- (0, -1) dan (4,3)
- (0, -1) dan (-4,-3)
- (0, -1) dan (-4,3)
Jawaban: D
Pembahasan:
x – 2y – 2 = 0 → x = 2y + 2
Substitusi x=2y+2 ke persamaan kurva x2+y2-2xy-1=0
(2y+2)2+y2-2(2y+2)(y)-1=0
4y2+8y+4+y2-4y2-4y-1=0
y2+4y+3=0
(y+1)(y+3)=0
y1=-1 dan y2=-3
Substitusikan nilai y yang telah didapatkan ke salah satu persamaan:
Untuk y1=-1, x1=2(-1)+2=0
Untuk y2=-3, x2=2(-3)+2=-4
Maka, penyelesaian sistem persamannya adalah (0, -1) dan (-4,-3).
Gimana Squad? Cukup jelas ‘kan? Yuk, mulai belajar dari sekarang supaya kamu nggak pusing saat mendekati tanggal ujiannya. Uji juga pemahaman dan kesiapan kamu melalui tryout gratis di ruanguji.
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<h1 class="content-title">
Latihan Soal UAS Matematika SMA Kelas X Semester Ganjil 2018 </h1>
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<p class="content-author"><a href="https://www.ruangguru.com/blog/author/shabrina-alfari" class="">Shabrina Alfari</a> </p>
<p class="content-info"><span>November 17, 2018 • </span> <span>3 minutes read</span></p>
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<p><span></span></p>
<p style="text-align: justify;">Halo, Squad. Tidak terasa ya sebentar lagi semester ganjil di tahun ajaran ini sudah akan berakhir. Kamu sudah siap menghadapi Ujian Akhir Semester mendatang? <em>Nah</em>, untuk itu Ruangguru sudah menyiapkan latihan dan pembahasan <strong><a href="/latihan-soal-uas-matematika-smp-kelas-viii">soal UAS Matematika</a></strong> kelas X. Yuk, langsung disimak!</p>
<p><span id="more-8899"></span></p>
<p style="text-align: justify;"><strong><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Untitled%20design-46.png" alt="Untitled design-46" width="820" style="width: 820px;"></strong></p>
<p style="text-align: justify;"><strong>1.Topik : Eksponen</strong></p>
<p style="text-align: justify;"><span>Bentuk sederhana dari</span><span></span><span> <img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/1-405577069072.png" alt="1-405577069072" width="58" style="width: 58px;">adalah….</span></p>
<p style="text-align: justify;"><span><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/2-70.png" alt="2-70" width="86" style="width: 86px;"></span></p>
<p style="text-align: justify;"><strong>Kunci : A</strong></p>
<p style="text-align: justify;"><strong>Pembahasan :</strong></p>
<p style="text-align: justify;"><strong><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/3-35.png" alt="3-35" width="141" style="width: 141px;"></strong></p>
<p style="text-align: justify;"><strong><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Untitled%20design-46.png" alt="Untitled design-46" width="820" style="width: 820px;"></strong></p>
<p style="text-align: justify;"><strong>2. <span></span><span><strong>Topik </strong></span><span> </span><span>: Eksponen</span></strong></p>
<p style="text-align: justify;"><span>Nilai x dari persamaan <img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/4-11.png" alt="4-11" width="99" style="width: 99px;"> </span><span></span><span> adalah ….</span></p>
<ol style="list-style-type: upper-alpha; text-align: justify;">
<li><span style="background-color: transparent;">2</span></li>
<li><span style="background-color: transparent;">4</span></li>
<li>6</li>
<li>10</li>
<li>16</li>
</ol>
<p style="text-align: justify;"><strong style="background-color: transparent;">Jawaban : E</strong></p>
<p style="text-align: justify;"><span><strong>Pembahasan</strong></span><span> </span><span>:</span></p>
<p style="text-align: justify;">Bilangan berpangkat di soal adalah bentuk permasalahan bilangan berpangkat pecahan, sehingga cara penyelesaiannya sebagai berikut :</p>
<p style="text-align: justify;"><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/5-11.png" alt="5-11" width="119" style="width: 119px;"></p>
<p style="text-align: justify;"><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Untitled%20design-46.png" alt="Untitled design-46" width="820" style="width: 820px;"></p>
<p style="text-align: justify;"><span style="background-color: transparent;"><strong>3.Topik</strong></span><span style="background-color: transparent;"> </span><span style="background-color: transparent;"><strong>: </strong></span><strong><span style="background-color: transparent;">Eksponen</span></strong><br /><span></span></p>
<p style="text-align: justify;">Fungsi eksponensial dari grafik di bawah ini adalah ….</p>
<p style="text-align: justify;"><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/6-11.png" alt="6-11" width="133" style="width: 133px;"></p>
<ol style="list-style-type: upper-alpha; text-align: justify;">
<li><span style="background-color: transparent;">f(x)=32x</span></li>
<li><span style="background-color: transparent;">f(x)=3x</span></li>
<li><span style="background-color: transparent;">f(x)=3-x</span></li>
<li><span style="background-color: transparent;">f(x)=2x</span></li>
<li><span style="background-color: transparent;">f(x)=2-x</span></li>
</ol>
<p style="text-align: justify;"><strong><span style="background-color: transparent;">Jawaban:</span><span style="background-color: transparent;"> </span></strong><span style="background-color: transparent;"><strong>B</strong></span></p>
<p style="text-align: justify;"><strong>Pembahasan</strong></p>
<p style="text-align: justify;">Pada grafik di atas dapat dilihat melalui dua titik, yaitu (0,1) dan (1,3). Untuk mendapatkan fungsi eksponensial tersebut, kita harus mensubstitusikan kedua titik yang ada ke dalam persamaan fungsi eksponensial secara umum f(x)=b × ax untuk mencari nilai a dan b, sehingga:</p>
<p style="text-align: justify;">Untuk titik (0,1) didapat f(x)=b × ax</p>
<p style="text-align: justify;">1=b × a0</p>
<p style="text-align: justify;">1=b × 1</p>
<p style="text-align: justify;">b=1</p>
<p style="text-align: justify;">Untuk titik (1,3) didapat f(x)=b × ax=1 × ax=ax (masukkan nilai b = 1)</p>
<p style="text-align: justify;">f(x)=ax</p>
<p style="text-align: justify;">3=a1</p>
<p style="text-align: justify;">3=a</p>
<p style="text-align: justify;">Maka, fungsi eksponensial dari grafik tersebut adalah</p>
<p style="text-align: justify;">f(x) = b × ax</p>
<p style="text-align: justify;">f(x) =1 × 3x</p>
<p style="text-align: justify;">f(x) =3x</p>
<p style="text-align: justify;"><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Untitled%20design-46.png" alt="Untitled design-46" width="820" style="width: 820px;"></p>
<p style="text-align: justify;"><span><strong>4.Topik </strong></span><span> </span><span>:<strong> Bilangan bentuk akar</strong></span></p>
<p style="text-align: justify;"><span>Bentuk sederhana dari bentuk akar <img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/7-11.png" alt="7-11" width="156" style="width: 156px;"> </span><span></span><span>adalah….</span></p>
<p style="text-align: justify;"><span><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/8-11.png" alt="8-11" width="146" style="width: 146px;"></span></p>
<p style="text-align: justify;"><strong>Jawaban : A</strong></p>
<p style="text-align: justify;"><span><strong>Pembahasan</strong></span><span> </span><span>:</span></p>
<p style="text-align: justify;"><span><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/9-14.png" alt="9-14" width="318" style="width: 318px;"></span></p>
<p style="text-align: justify;"><span><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Untitled%20design-46.png" alt="Untitled design-46" width="820" style="width: 820px;"></span></p>
<p style="text-align: justify;"><span><strong>5.Topik</strong></span><span> </span><span>: <strong>Bilangan Bentuk Akar</strong></span></p>
<p style="text-align: justify;"><span>Urutan bilangan <img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/10-10.png" alt="10-10" width="98" style="width: 98px;"> </span><span></span><span> dari yang terkecil hingga yang terbesar adalah ….</span></p>
<p style="text-align: justify;">A. <img decoding="async" alt="https://lh4.googleusercontent.com/hgpHdeAycylW-XKCU0MQW_pw-MH5jUj_iU-RVK48ZggVPIfAGFsUZdYCxT69joR3lCEd8aVlbo9IaEIjXxcC49twbNEc-DAKUiWrFmPEk2u-0Nf73QiVKgtxKAz8ePgJ9bMempGd0vJd1Uk-BQ" src="https://lh5.googleusercontent.com/z5H4njwIVkABuaGP0YHirrpYpOpnj9y63GrinTztjkZwr4vhhZtxDXD5Wvtp5NiPQjrQam6WdjGPjIaCWqYJGgcgyfSQRmpoLZnHUpSkgG2bJruuoG4nmVSVA2KPlO31dZxUaW1OwHuXExbGdA" width="109" height="25" style="background-color: transparent;"></p>
<p style="text-align: justify;">B. <img decoding="async" alt="https://lh4.googleusercontent.com/MaHK-WJM0z0QpkR54c7uCPnEa8QdaVjmyZ3YbX6Fbp47FrFysqsfeDuLjCUcFICN2SrgYbkrjdUVA0d3elvdKTRoQkjj9XSUh_ORrhI21xY5s744aes1UfBTMhDovMo28H_j709A81ID-4OFLQ" src="https://lh5.googleusercontent.com/2jV9L-DjwSldgGFcQtShMlVa3VnsE58nWUAUqBrSeW8mrupT2kDyhx3asVzh67GLi2Eh_FHgE8AkIFzCWOQYnKSYwykUbE-GQSvRFpyyZeff1uhmgC6udoqhy_kP7XJOJGtwn1ev7FUx-Cj-Xg" width="109" height="25" style="background-color: transparent;"></p>
<p style="text-align: justify;">C. <img decoding="async" alt="https://lh5.googleusercontent.com/5iYfEPtQPzXwi3v79EZ8jfRmtz2UzOX6eI-PrjyaGjRO5F54UaJWcqmbBj_BLNMZPbYo0yQ3r2KUPG9ejFnKRHqgaUn6a8tQjyPM7HEZVSGEtKzbL5OjO25qIXDCUdmhnKLoSngucVX-rC2n_g" src="https://lh3.googleusercontent.com/BcIMoRwJnsE8m2ytmzXSsFILQv_efqS5aeqVEokGPgOfV867RTf04focT1-t8GrMtbn1jsME6yoLAu9vAMzBDC0kTbJNHwTXhk9Mm167yvm0ZFJbgXTpb2c97r_ayffGSqN__EQa_YM8dDUwOQ" width="109" height="25" style="background-color: transparent;"></p>
<p style="text-align: justify;">D. <img loading="lazy" decoding="async" alt="https://lh5.googleusercontent.com/JPfSLig0fDOECzPRsk_GeZlPVBNE1_4m7VmjYPRs41UDlsoGLBiKTOhlNP-tEuHHnN-WPMaWN72fDDjMsAEh0xEYwQGbU2PJtzR7e9eVg7LMgNgl0tQapiUP1j0sc4O6QVOlVa1TsePN3QnrGg" src="https://lh5.googleusercontent.com/RUAwDwmzcGhE2ESYk9syZn03wWj4zpkNWCpKHxXr1cHDzvlM9bm6Wycn_YMtpKJqdLo1LixIcvfiu-OOWYuAS5DIP2I1F6wRMHyBjAmWykj2_A7m8iDaoIhPjHkSxEBO22ZeE2gyddxiBkMncw" width="109" height="25" style="background-color: transparent;"></p>
<p style="text-align: justify;">E. <img loading="lazy" decoding="async" alt="https://lh3.googleusercontent.com/2tx8poMxb_gC5cy3ZE4xspc1Hybp22Uf8By4R6mwtqHq_8ohakVlkSq2HbZbCFs7YYfCNLDFMQlm1zt_hI4EJo66BUNS_X7RjTtLrcHd5Uz2SDoy-27zYYhTC3MuqUH7OalljhTwubElC3GIig" src="https://lh3.googleusercontent.com/pZFJ828stSt_L4MQhOBbB8cwbWM4H86X7ROxL9tFxlkDsS8sCHn5SW0yN6BTVxTT5MqWchdpnvvCGvGCV7sPqDXB5lL1cpWAaGuETy90-R0RqLAd3v8bOedckMUwPsuYP6TK3FvsWzvBy3vMPw" width="108" height="25" style="background-color: transparent;"></p>
<p style="text-align: justify;"><strong>Jawaban: B</strong></p>
<p style="text-align: justify;"><strong>Pembahasan:</strong></p>
<p style="text-align: justify;"><strong><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/11-119.png" alt="11-119" width="215" style="width: 215px;"></strong></p>
<p style="text-align: justify;"><span>Maka urutan dari yang terkecil ke yang terbesar adalah <img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/12-9.png" alt="12-9" width="104" style="width: 104px;"></span></p>
<p style="text-align: justify;"><span><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Untitled%20design-46.png" alt="Untitled design-46" width="820" style="width: 820px;"></span></p>
<p style="text-align: justify;"><span><strong>6.Topik</strong></span><span> </span><strong>: Logaritma</strong></p>
<p style="text-align: justify;"><span>Hasil dari <img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/13-8.png" alt="13-8" width="164" style="width: 164px;"></span><span></span><span>adalah ….</span></p>
<ol style="list-style-type: upper-alpha; text-align: justify;">
<li><span style="background-color: transparent;">1</span></li>
<li><span style="background-color: transparent;">2</span></li>
<li><span style="background-color: transparent;">3</span></li>
<li><span style="background-color: transparent;">4</span></li>
<li><span style="background-color: transparent;">5</span></li>
</ol>
<p style="text-align: justify;"><strong>Jawaban: A</strong></p>
<p style="text-align: justify;"><strong>Pembahasan:</strong></p>
<p style="text-align: justify;"><strong><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/14-5577069072.png" alt="14-5577069072" width="324" style="width: 324px;"></strong></p>
<p style="text-align: justify;"><strong><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Untitled%20design-46.png" alt="Untitled design-46" width="820" style="width: 820px;"></strong></p>
<p style="text-align: justify;"><span style="background-color: transparent;"><strong>7.Topik</strong></span><span style="background-color: transparent;"> </span><span style="background-color: transparent;">:<strong> Logaritma</strong></span></p>
<p style="text-align: justify;"><span>Jika diketahui <img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/15-5.png" alt="15-5" width="157" style="width: 157px;"></span><span> </span><span></span><span>Maka nilai dari <img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/16-3.png" alt="16-3" width="51" style="width: 51px;"></span><span></span><span>adalah ….</span></p>
<p style="text-align: justify;"><span><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/17-2.png" alt="17-2" width="132" style="width: 132px;"></span></p>
<p style="text-align: justify;"><strong>Jawaban: A</strong></p>
<p style="text-align: justify;"><strong>Pembahasan:</strong></p>
<p style="text-align: justify;"><strong><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/18-3.png" alt="18-3" width="143" style="width: 143px;"></strong></p>
<p style="text-align: justify;"><strong><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Untitled%20design-46.png" alt="Untitled design-46" width="820" style="width: 820px;"></strong></p>
<p style="text-align: justify;"><span><strong>8.Topik</strong></span><span> </span><span> </span><span>: <strong>Persamaan dan Pertidaksamaan Linier</strong></span></p>
<p style="text-align: justify;">Nilai x dari persamaan linier 7x+23=4x-1 adalah ….</p>
<ol style="list-style-type: upper-alpha; text-align: justify;">
<li><span style="background-color: transparent;">-3</span></li>
<li><span style="background-color: transparent;">-1</span></li>
<li><span style="background-color: transparent;">0</span></li>
<li><span style="background-color: transparent;">1</span></li>
<li><span style="background-color: transparent;">3</span></li>
</ol>
<p style="text-align: justify;"><strong><span style="background-color: transparent;">Jawaban:</span><span style="background-color: transparent;"> </span><span style="background-color: transparent;">D</span></strong></p>
<p style="text-align: justify;"><strong>Pembahasan</strong></p>
<p style="text-align: justify;">7x+23=4x-1</p>
<p style="text-align: justify;">7x+2=3(4x-1)</p>
<p style="text-align: justify;">7x+2=12x-3</p>
<p style="text-align: justify;">7x-12x=-3-2</p>
<p style="text-align: justify;">-5x=-5</p>
<p style="text-align: justify;"><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Untitled%20design-46.png" alt="Untitled design-46" width="820" style="width: 820px;"></p>
<p style="text-align: justify;"><span><strong>9.Topik </strong></span><span> </span><span>:<strong> Fungsi Kuadrat</strong></span></p>
<p style="text-align: justify;">Persamaan kuadrat yang melalui titik-titik (-3, -1), (-1, -5), dan (2, 4) adalah….</p>
<ol style="list-style-type: upper-alpha; text-align: justify;">
<li><span style="background-color: transparent;">y = x</span><span style="background-color: transparent;"><sup>2</sup></span><span style="background-color: transparent;"> + 2x – 4</span></li>
<li><span style="background-color: transparent;">y = x</span><span style="background-color: transparent;"><sup>2</sup></span><span style="background-color: transparent;"> – 3x – 4</span></li>
<li><span style="background-color: transparent;">y = 2x</span><span style="background-color: transparent;"><sup>2</sup></span><span style="background-color: transparent;"> + 2x + 5</span></li>
<li><span style="background-color: transparent;">y = x</span><span style="background-color: transparent;"><sup>2</sup></span><span style="background-color: transparent;"> – 3x + 5</span></li>
<li><span style="background-color: transparent;">y = 2x</span><span style="background-color: transparent;"><sup>2</sup></span><span style="background-color: transparent;"> + 2x – 5</span></li>
</ol>
<p style="text-align: justify;"><strong style="background-color: transparent;">Jawaban : A</strong></p>
<p style="text-align: justify;"><span><strong>Pembahasan</strong></span><span> </span><span>:</span></p>
<p style="text-align: justify;"><span>Persamaan parabola : </span><span><em>y</em></span><span> = </span><span><em>ax</em></span><span><sup>2</sup></span><span> + </span><span><em>bx</em></span><span> + </span><span><em>c</em></span></p>
<p style="text-align: justify;"><span>Titik (-3, -1) → </span><span><em>9a – 3b + c</em></span><span> = -1 ………….(1)</span></p>
<p style="text-align: justify;"><span>Titik (-1, -5) → </span><span><em>a – b + c</em></span><span> = -5 …………….(2)</span></p>
<p style="text-align: justify;"><span>Titik (2, 4) → </span><span><em>4a + 2b + c</em></span><span> = 4 …………..(3)</span></p>
<p style="text-align: justify;">Eliminasi pers. (1) dan (2) :</p>
<p style="text-align: justify;"><em>9a – 3b + c = -1</em></p>
<p style="text-align: justify;"><span><u><em> a – b + c = -5</em></u></span><span> –</span></p>
<p style="text-align: justify;"><em>8a – 2b = 4</em></p>
<p style="text-align: justify;"><span><em>4a – b = 2</em></span><span> ………………..(4)</span></p>
<p style="text-align: justify;"><span style="background-color: transparent;">eliminasi persamaan (2) dan (3) :</span></p>
<p style="text-align: justify;"><span> </span><span><em>a – b + c = -5</em></span></p>
<p style="text-align: justify;"><span><u><em>4a + 2b + c = 4 </em></u></span><span><em> – </em></span></p>
<p style="text-align: justify;"><em> -3a – 3b = -9</em></p>
<p style="text-align: justify;"><span><em>a + b</em></span><span> = 3 ………………..(5)</span></p>
<p style="text-align: justify;">eliminasikan persamaan (4) dan (5) :</p>
<p style="text-align: justify;"><em>4a – b = 2</em></p>
<p style="text-align: justify;"><span><u><em>a + b = 3</em></u></span><span> +</span></p>
<p style="text-align: justify;"><em>5a = 5</em></p>
<p style="text-align: justify;"><em>a = 1</em></p>
<p style="text-align: justify;">subsitusikan ke persamaan (5) :</p>
<p style="text-align: justify;"><em>a + b = 3</em></p>
<p style="text-align: justify;"><em>1 + b = 3</em></p>
<p style="text-align: justify;"><em>b = 2</em></p>
<p style="text-align: justify;">subsitusikan ke persamaan (3)</p>
<p style="text-align: justify;"><em>4a + 2b + c = 4</em></p>
<p style="text-align: justify;"><em>4(1) + 2(2) + c = 4 </em></p>
<p style="text-align: justify;"><em>c = -4</em></p>
<p style="text-align: justify;"><span>Persamaan kuadratnya : </span><span><em>y</em></span><span> = </span><span><em>x</em></span><span><sup>2</sup></span><span> + 2</span><span><em>x</em></span><span> – 4</span></p>
<p style="text-align: justify;"><span><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Untitled%20design-46.png" alt="Untitled design-46" width="820" style="width: 820px;"></span></p>
<p style="text-align: justify;"><span><strong>10.Topik</strong></span><span> </span><span><strong>:</strong></span><strong> Sistem Persamaan Linier Kuadrat Dua Variabel (SPLKDV)</strong></p>
<p style="text-align: justify;">Himpunan penyelesaian antara kurva x2+y2-2xy-1=0 dan garis x-2y-2=0 adalah ….</p>
<ol style="list-style-type: upper-alpha; text-align: justify;">
<li><span style="background-color: transparent;">(0, 1) dan (4,-3)</span></li>
<li><span style="background-color: transparent;">(0, 1) dan (-4,-3)</span></li>
<li><span style="background-color: transparent;">(0, -1) dan (4,3)</span></li>
<li><span style="background-color: transparent;">(0, -1) dan (-4,-3)</span></li>
<li><span style="background-color: transparent;">(0, -1) dan (-4,3)</span></li>
</ol>
<p style="text-align: justify;"><strong>Jawaban: </strong><span><strong>D</strong></span></p>
<p style="text-align: justify;"><strong style="background-color: transparent;">Pembahasan:</strong></p>
<p style="text-align: justify;">x – 2y – 2 = 0 → x = 2y + 2</p>
<p style="text-align: justify;">Substitusi x=2y+2 ke persamaan kurva x2+y2-2xy-1=0</p>
<p style="text-align: justify;">(2y+2)2+y2-2(2y+2)(y)-1=0</p>
<p style="text-align: justify;">4y2+8y+4+y2-4y2-4y-1=0</p>
<p style="text-align: justify;">y2+4y+3=0</p>
<p style="text-align: justify;">(y+1)(y+3)=0</p>
<p style="text-align: justify;">y1=-1 dan y2=-3</p>
<p style="text-align: justify;">Substitusikan nilai y yang telah didapatkan ke salah satu persamaan:</p>
<p style="text-align: justify;"><span>Untuk y1=-1, x1=2(-1)+2=0</span><span> </span></p>
<p style="text-align: justify;">Untuk y2=-3, x2=2(-3)+2=-4</p>
<p style="text-align: justify;"><span></span><span>Maka, penyelesaian sistem persamannya adalah (0, -1) dan (-4,-3).</span></p>
<p style="text-align: justify;"><span><img decoding="async" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Untitled%20design-46.png" alt="Untitled design-46" width="820" style="width: 820px;"></span></p>
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<img class="icon-call-us" src="https://cdn-web-2.ruangguru.com/file-uploader/lp/4b58468a-b2f9-40e4-867f-d3242a065dcf.png" loading="lazy" alt="Logo Whatsapp Footer" />0815 7441 0000</a>
</address>
</nav>
<nav class="footer-menu social d-none d-lg-block">
<p class="title">Ikuti Kami</p>
<a target="_blank" href="https://www.instagram.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/instagram.png" loading="lazy" alt="Logo Instagram Footer" width="32px" height="32px" />
</picture>
</a>
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<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60&convert=webp" type="image/webp">
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</picture>
</a>
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<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/twitter.png" loading=" lazy" alt="Logo Twitter Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.youtube.com/ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/youtube.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/youtube.png" loading=" lazy" alt="Logo Youtube Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.linkedin.com/company/ruangguru-com">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/linkedin.png" loading=" lazy" alt="Logo LinkedIn Footer" width="32px" height="32px" />
</picture>
</a>
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<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/tiktok.png" loading=" lazy" alt="Logo TikTok Footer" width="32px" height="32px" />
</picture>
</a>
</nav>
</div>
<div class="col-lg-9">
<div class="row">
<div class="col-6 col-md-3">
<nav class="footer-menu">
<p class="title">Produk Ruangguru</p>
<ul type="none">
<li><a href="https://roboguru.ruangguru.com" target="_blank">Roboguru</a></li>
<li><a href="https://www.ruangguru.com/roboguruplus">Roboguru Plus</a></li>
<li><a href="https://www.ruangguru.com/dafa-lulu">Dafa dan Lulu</a></li>
<li><a href="https://www.ruangguru.com/for-kids/kursus">Kursus for Kids</a></li>
<li><a href="https://www.ruangguru.com/for-kids">Ruangguru for Kids</a></li>
<li><a href="https://www.ruangguru.com/bisnis">Ruangguru for Business</a></li>
<li><a href="https://www.ruangguru.com/ruanguji">Ruanguji</a></li>
<li><a href="https://www.ruangguru.com/blog">Ruangbaca</a></li>
<li><a href="https://www.ruangguru.com/ruangkelas">Ruangkelas</a></li>
<li><a href="https://www.ruangguru.com/ruangbelajar">Ruangbelajar</a></li>
<li><a href="https://pengajar.ruangguru.com/">Ruangpengajar</a></li>
<li><a href="https://www.ruangguru.com/privat">Ruangguru Privat</a></li>
<li><a href="https://www.ruangpeduli.org/" target="_blank">Ruangpeduli</a></li>
</ul>
</nav>
</div>
<div class="col-6 col-md-3">
<nav class="footer-menu">
<p class="title">Bantuan & Panduan</p>
<ul type="none">
<li><a href="https://www.ruangguru.com/company-credentials">Company Credentials</a></li>
<li><a href="https://www.ruangguru.com/beasiswa">Beasiswa Ruangguru</a></li>
<li><a href="https://www.ruangguru.com/cicilan">Cicilan Ruangguru</a></li>
<li><a href="https://www.ruangguru.com/promo">Promo Ruangguru</a></li>
<li><a href="https://ticketing.ruangguru.com/help?request_type_id=459" target="_blank">Vulnerability Report</a></li>
<li><a href="https://www.ruangguru.com/bantuan#layanan">Layanan Pengaduan</a></li>
<li><a href="https://www.ruangguru.com/terms-conditions">Syarat & Ketentuan</a></li>
<li><a href="https://www.ruangguru.com/privacy-policy">Kebijakan Privasi</a></li>
<li><a href="https://www.ruangguru.com/about-us">Tentang Kami</a></li>
<li><a href="https://www.ruangguru.com/contact-us">Kontak Kami</a></li>
<li><a href="https://www.ruangguru.com/press">Press Kit</a></li>
<li><a href="https://www.ruangguru.com/bantuan">Bantuan</a></li>
<li><a href="https://career.ruangguru.com/">Karier</a></li>
</ul>
</nav>
</div>
<div class="col-6 col-md-3">
<nav class="footer-menu">
<p class="title">Produk Lainnya</p>
<ul type="none">
<li><a href="https://www.brainacademy.id/" target="_blank">Brain Academy</a></li>
<li><a href="https://www.english-academy.id/" target="_blank">English Academy</a></li>
<li><a href="https://skillacademy.com/" target="_blank">Skill Academy</a></li>
<li><a href="https://www.ruangkerja.id/" target="_blank">Ruangkerja</a></li>
<li><a href="https://www.schoters.com/id/" target="_blank">Schoters</a></li>
<li><a href="https://www.kalananti.id/" target="_blank">Kalananti</a></li>
</ul>
</nav>
</div>
<div class="col-6 col-md-3">
<nav class="footer-menu">
<p class="title"> Coba GRATIS Aplikasi Ruangguru</p>
<div class="download-list">
<ul>
<li>
<a target="_blank" rel="nofollow" href="https://apps.apple.com/id/app/ruangguru-solusi-belajar/id1099742206?l=id">
<img src="https://cdn-web-2.ruangguru.com/static/appstore.png" loading="lazy" alt="Button App Store Footer " />
</a>
</li>
<li>
<a target="_blank" rel="nofollow" href="https://play.google.com/store/apps/details?id=com.ruangguru.livestudents&hl=in">
<img src="https://cdn-web-2.ruangguru.com/static/googleplay.png" loading="lazy" alt="Button Google Play Footer " />
</a>
</li>
<li>
<a target="_blank" rel="nofollow" href="https://appgallery.huawei.com/#/app/C102352375">
<img src="https://cdn-web-2.ruangguru.com/static/huawei.png" loading="lazy" alt="Button AppGallery Footer " />
</a>
</li>
</ul>
</div>
</nav>
</div>
</div>
</div>
</div>
<div class="d-lg-none text-center">
<nav class="footer-menu social">
<p class="title">Ikuti Kami</p>
<a target="_blank" href="https://www.instagram.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/instagram.png" loading="lazy" alt="Logo Instagram Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.facebook.com/ruanggurucom/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/facebook.png" loading="lazy" alt="Logo Facebook Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://twitter.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/twitter.png" loading=" lazy" alt="Logo Twitter Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.youtube.com/ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/youtube.png?height=60&convert=webp" type="image/webp">
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<img src="https://cdn-web-2.ruangguru.com/static/youtube.png" loading=" lazy" alt="Logo Youtube Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.linkedin.com/company/ruangguru-com">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/linkedin.png" loading=" lazy" alt="Logo LinkedIn Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.tiktok.com/@ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/tiktok.png" loading=" lazy" alt="Logo TikTok Footer" width="32px" height="32px" />
</picture>
</a>
</nav>
</div>
<p class="footer-copyright">
© 2026 All Rights Reserved PT. Ruang Raya Indonesia
</p>
</div>
<style>
.bantuan-container {
position: relative;
}
.bantuan-element {
position: fixed;
z-index: 999;
display: flex;
align-items: flex-end;
justify-content: flex-end;
cursor: pointer;
transition: all 0.6s ease;
}
.bantuan-top {
bottom: 11rem;
right: 2rem;
}
.bantuan-bottom {
bottom: 2rem;
right: 2rem;
}
.bantuan-top-2 {
bottom: 15rem;
right: 2rem;
}
.bantuan-top-3 {
bottom: 19rem;
right: 2rem;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 2rem;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 2rem;
}
@media (min-width: 768px) {
.bantuan-element img {
width: auto;
transition: all 0.4s ease;
}
.bantuan-top img {
width: 140px;
}
.bantuan-bottom img {
width: 140px;
}
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 140px;
}
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 140px;
}
.bantuan-element.clicked {
bottom: 9rem;
right: 2.5rem;
}
.bantuan-element.clicked img {
width: auto;
height: 64px;
}
}
@media (max-width: 767px) {
.bantuan-top {
bottom: 8rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom {
bottom: 2rem;
right: 1.25rem;
align-items: center;
}
.bantuan-top-2 {
bottom: 12rem;
right: 1rem;
align-items: center;
}
.bantuan-top-3 {
bottom: 16rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 1.25rem;
align-items: center;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 1.25rem;
align-items: center;
}
.bantuan-element img {
width: auto;
}
.bantuan-top img,
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 96px;
}
.bantuan-bottom img,
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 96px;
}
}
.bantuan-element:hover {
transform: scale(1.05);
}
.bantuan-element img {
max-width: 100%;
height: auto;
}
</style>
<div id="bantuan-divs-container" style="position: relative" data-product="ruangguru" data-table="rg_floating_icon"></div>
<script>
class FloatingDivsComponent {
constructor(product = 'ruangguru', table = 'rg_floating_icon') {
this.container = document.getElementById('bantuan-divs-container');
this.floatingElements = [];
this.product = product;
this.table = table;
// Configuration
this.config = {
baseApiUrl: 'https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/rg_banner/views/',
apiKey: 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
maxElements: 2,
zIndexBase: 100,
};
// Build dynamic API URL based on table parameter
this.config.apiUrl = this.buildApiUrl();
this.init();
}
buildApiUrl() {
const baseUrl = this.config.baseApiUrl;
const tableName = this.table || 'rg_floating_icon';
const queryParams =
'offset=0&limit=99999&sort=rankPosition&where=(type,eq,floating)~and(showIn,anyof,blog)~and(hide,is,false)~and(product,eq,' +
this.product +
')&nested%5Bcta%5D%5Bfields%5D=Id,name,ctaId,imageUrl,ctaLink,targetUrl';
return `${baseUrl}${tableName}?${queryParams}`;
}
async init() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to initialize floating divs component:', error);
}
}
async fetchFloatingElements() {
try {
const options = {
method: 'GET',
headers: {
'xc-token': this.config.apiKey || 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
},
};
const urlNoco = this.config.apiUrl;
const response = await fetch(urlNoco, options);
if (!response.ok) {
throw new Error(`HTTP error! status: ${response.status}`);
}
const data = await response.json();
this.floatingElements = this.processApiResponse(data);
} catch (error) {
console.error('Error fetching floating elements:', error);
throw error;
}
}
processApiResponse(data) {
if (!data || !data.list || !Array.isArray(data.list)) {
return [];
}
console.log(data.list);
// Ensure we only get maximum 2 elements
const limitedElements = data.list.slice(0, this.config.maxElements);
return limitedElements;
}
renderFloatingElements() {
if (!this.container || this.floatingElements.length === 0) {
return;
}
// Additional safeguard: ensure we never render more than maxElements
const elementsToRender = this.floatingElements.slice(0, this.config.maxElements);
// Clean up existing elements and their event listeners
this.cleanupExistingElements();
// Clear existing content
this.container.innerHTML = '';
elementsToRender.forEach((element, index) => {
const floatingDiv = this.createFloatingDiv(element, index);
this.container.appendChild(floatingDiv);
});
}
cleanupExistingElements() {
// Clear existing elements (no need for event listener cleanup with CSS approach)
const existingElements = this.container.querySelectorAll('[data-floating-element]');
existingElements.forEach(element => {
element.remove();
});
}
createFloatingDiv(element, index) {
const div = document.createElement('div');
const cta = element.cta[0]; // Use the first CTA
// Add data attribute for cleanup tracking
div.setAttribute('data-floating-element', 'true');
// Apply CSS classes based on rankPosition
const positionClass = this.getPositionClass(element.rankPosition, index);
div.className = `bantuan-element ${positionClass}`;
div.style.zIndex = this.config.zIndexBase + index;
// Create the link and image
const link = document.createElement('a');
link.href = 'https://cta.ruangguru.com/' + cta.ctaId || '#';
link.target = '_blank';
// Add tracking attributes
link.setAttribute('data-tracking-event-type', 'landing_page__core__item_click');
link.setAttribute(
'data-tracking-context',
JSON.stringify({
product_name: this.product,
cta_action: 'redirection',
cta_action_detail: link.href,
item_type: 'floating',
item_name: element.name || 'Floating element',
item_category: 'payment',
item_position: index,
item_serial: null,
section_type: 'floating_item',
section_position: 'body',
section_name: 'floating_item',
})
);
const img = document.createElement('img');
img.src = element.imageUrl + '?h=200&convert=webp';
img.alt = element.name || 'Floating element';
img.loading = 'lazy';
// Add click tracking
link.addEventListener('click', () => {
this.trackClick(element, cta);
});
link.appendChild(img);
div.appendChild(link);
return div;
}
getPositionClass(rankPosition, index) {
// Define positioning classes based on rankPosition
if (rankPosition === 1) {
return 'bantuan-top'; // Top position
} else if (rankPosition === 2) {
return 'bantuan-bottom'; // Bottom position
} else {
// For additional elements, distribute them evenly
return `bantuan-${index % 2 === 0 ? 'top' : 'bottom'}-${Math.floor(index / 2) + 1}`;
}
}
trackClick(element, cta) {
// Implement click tracking logic here
console.log('Floating element clicked:', {
elementId: element.Id,
elementName: cta.name,
ctaId: cta.ctaId,
targetUrl: cta.targetUrl,
});
}
// Public method to manually refresh
async refresh() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to refresh floating elements:', error);
throw error;
}
}
// Public method to get current floating elements
getFloatingElements() {
return [...this.floatingElements];
}
}
// Initialize the component when DOM is ready
document.addEventListener('DOMContentLoaded', () => {
// Get product and table parameters from data attributes
const container = document.getElementById('bantuan-divs-container');
const product = container.getAttribute('data-product') || 'ruangguru';
const table = container.getAttribute('data-table') || 'rg_floating_icon';
new FloatingDivsComponent(product, table);
});
// Export for use in other modules if needed
if (typeof module !== 'undefined' && module.exports) {
module.exports = FloatingDivsComponent;
}
</script> <div id="wp-install-nudge" style="
position: fixed;
bottom: 0rem;
right: 0;
z-index: 999;
cursor: pointer;
"></div>
<script>
(function (w, d, s, o, f, js, fjs) {
w['Sales-Nudge-Widget'] = o; w[o] = w[o] || function () { (w[o].q = w[o].q || []).push(arguments) };
js = d.createElement(s), fjs = d.getElementsByTagName(s)[0];
js.id = o; js.src = f; js.async = 1; fjs.parentNode.insertBefore(js, fjs);
}(window, document, 'script', 'wpInstallNudge', 'https://cdn-web-2.ruangguru.com/sales-nudge/6198a95130/dist/widget.js'));
wpInstallNudge('init', { targetElementId: 'wp-install-nudge', clientTarget: 'ruangguru_blog' });
</script>
<script>
// note: disabled due to auto reload page
// var lastScrollTop = 0;
// $(window).scroll(function(event){
// var st = $(this).scrollTop();
// if (st > lastScrollTop){
// $('#wp-install-nudge').slideDown( "slow", function() {});
// } else {
// $('#wp-install-nudge').slideUp( "slow", function() {});
// }
// lastScrollTop = st;
// });
// $(document).ready(function () {
// $("#wp-install-nudge").hide();
// });
$('#wp-install-nudge').click(function(){
Analytics.track("promotion__install_nudge__click",
{
user_email: "ruangguru@blog.com",
cta_link: widgetData.dataConfig.target_link
}).catch((err) => {
console.log("tracker error", err);
});
});
</script>
</footer>
<div id="__next"></div>
<script type="speculationrules">
{"prefetch":[{"source":"document","where":{"and":[{"href_matches":"\/blog\/*"},{"not":{"href_matches":["\/blog\/wp-*.php","\/blog\/wp-admin\/*","\/blog\/wp-content\/uploads\/*","\/blog\/wp-content\/*","\/blog\/wp-content\/plugins\/*","\/blog\/wp-content\/themes\/ruangguru\/*","\/blog\/*\\?(.+)"]}},{"not":{"selector_matches":"a[rel~=\"nofollow\"]"}},{"not":{"selector_matches":".no-prefetch, .no-prefetch a"}}]},"eagerness":"conservative"}]}
</script>
<script>
async function getCtaDetails(ctaIds) {
const endpoint =
" https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/CTA/views/CTA?offset=0&limit=10&where=(ctaId,in," + ctaIds.toString() + ")";
try {
const response = await fetch(endpoint, {
headers: {
"xc-token": "-hG2nBDJzSj0agSgNtcJx97M4F02y54nUMoY6plJ",
},
});
const data = await response.json();
const ctaList = data?.list || [];
const ctaMap = new Map();
for (const ctaData of ctaList) {
ctaMap.set(ctaData.ctaId, ctaData);
}
return ctaMap;
} catch (error) {
console.error("Error fetching CTA details:", error);
return new Map();
}
}
async function replaceCTA() {
const regex = /{{cta\((‘(.*?)’|“(.*?)”)\)}}/g;
const bodyHTML = document.body.innerHTML;
const matches = Array.from(bodyHTML.matchAll(regex));
const ctaIds = matches.map((match) => {
let ctaId = match[2] ?? match[3];
return ctaId;
});
const ctaMap = await getCtaDetails(ctaIds);
const replacedHTML = bodyHTML.replace(regex, (match, _inner, ctaId1, ctaId2) => {
const ctaId = ctaId1 ?? ctaId2;
const ctaData = ctaMap.get(ctaId);
if (ctaData) {
return `<a href="https://cta.ruangguru.com/${ctaData.ctaId}" target="_${ctaData.targetType}" style="position:relative;display:inline-block;">
<img src="${ctaData.imageUrl}" loading="lazy" alt="${ctaData.altText}" />
</a>`;
} else {
return match;
}
});
document.body.innerHTML = replacedHTML;
}
</script>
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<script type="text/javascript" src="https://cdn-web-2.ruangguru.com/landing-page-web/public/staticpages/global-assets/js/cta.js"></script>
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</body>
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