Dari Wikibuku bahasa Indonesia, sumber buku teks bebas
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Vertikal |
Horisontal
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Titik pusat (0,0)
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Persamaan |
![{\displaystyle {\frac {x^{2}}{b^{2}}}-{\frac {y^{2}}{a^{2}}}=1}](https://wikimedia.org/api/rest_v1/media/math/render/svg/340aea529d986768dac10430b1f5a0ee804a9158) |
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Panjang sumbu mayor |
![{\displaystyle 2a}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d325c24be7d760207674a169b078892bdd5cbc76) |
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Panjang sumbu minor |
![{\displaystyle 2b}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3da45af0250645a54cab2ef45483c4399e4a40df) |
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Panjang Latus Rectum |
![{\displaystyle L={\frac {2b^{2}}{a}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7bfd5813441cca31783b67907bc8b8856b81ce20) |
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Fokus |
![{\displaystyle F(0,\pm c)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6ab863cd2484e13d1c54c0f2f1f0964ba45fd109) |
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Puncak |
![{\displaystyle P(0,\pm a)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/fe6a730e2e0ad71bdaa37b1643286576da040b03) |
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Asimtot |
![{\displaystyle y=\pm {\frac {a}{b}}x}](https://wikimedia.org/api/rest_v1/media/math/render/svg/305bc4d31b8cf22cd5128f73ae90546555f3e9d5) |
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Eksentrisitas |
![{\displaystyle e={\frac {c}{a}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4234fac6da52e8286a96a8e4d138204d85a4844b) |
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Titik pusat (h,k)
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Persamaan |
![{\displaystyle {\frac {(x-h)^{2}}{b^{2}}}-{\frac {(y-k)^{2}}{a^{2}}}=1}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9ba466c8399035a55c7bd2731f95760502e9b9dc) |
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Panjang sumbu mayor |
![{\displaystyle 2a}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d325c24be7d760207674a169b078892bdd5cbc76) |
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Panjang sumbu minor |
![{\displaystyle 2b}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3da45af0250645a54cab2ef45483c4399e4a40df) |
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Panjang Latus Rectum |
![{\displaystyle L={\frac {2b^{2}}{a}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7bfd5813441cca31783b67907bc8b8856b81ce20) |
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Fokus |
![{\displaystyle F(h,k\pm c)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7c0662d13124be5de724aeb4f4eb555a6cb239d9) |
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Puncak |
![{\displaystyle P(h,k\pm a)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/009eb30c275c0a311f10c164f3dd829e8f185f7f) |
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Asimtot |
![{\displaystyle (y-k)=\pm {\frac {a}{b}}(x-h)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6105fdcb6426482ae91671d3c23ca7667a0f2589) |
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Eksentrisitas |
![{\displaystyle e={\frac {c}{a}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4234fac6da52e8286a96a8e4d138204d85a4844b) |
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dimana
- bergradien
(
)
Vertikal |
Horisontal
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Titik pusat (0,0)
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![{\displaystyle y=mx\pm {\sqrt {b^{2}-a^{2}m^{2}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/774122f12a569d646f7e774474616cdbbb88f99c) |
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Titik pusat (h,k)
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![{\displaystyle {\frac {(x-h)(x_{1}-h)}{b^{2}}}-{\frac {(y-k)(y_{1}-k)}{a^{2}}}=1}](https://wikimedia.org/api/rest_v1/media/math/render/svg/5308fc5273e8ea06e74111aa3b54b0e386c25304) |
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- jika persamaan garis lurus bergradien sejajar maka
![{\displaystyle m_{2}=m_{1}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a421d100f7813bdaa32bca9d049c3971985db028)
- jika persamaan garis lurus bergradien tegak lurus maka
![{\displaystyle m_{2}={\frac {-1}{m_{1}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d2a543f99096dae7356c08090282fdfa97fc2397)
- melalui titik
![{\displaystyle (x_{1},y_{1})}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7fc74086e56542bd28b46a84faaee3cebdd4a899)
dengan cara bagi adil
Vertikal |
Horisontal
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Titik pusat (0,0)
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![{\displaystyle {\frac {xx_{1}}{b^{2}}}-{\frac {yy_{1}}{a^{2}}}=1}](https://wikimedia.org/api/rest_v1/media/math/render/svg/5d1c93ebe2ed2a6f45159f320f4a1cfab37b18a3) |
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Titik pusat (h,k)
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![{\displaystyle {\frac {(x-h)(x_{1}-h)}{b^{2}}}-{\frac {(y-k)(y_{1}-k)}{a^{2}}}=1}](https://wikimedia.org/api/rest_v1/media/math/render/svg/5308fc5273e8ea06e74111aa3b54b0e386c25304) |
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- jika titik
berada di dalam bentuknya maka ada 1 persamaan garis singgung (1 langkah).
- jika titik
berada di luar bentuknya maka ada 2 persamaan garis singgung (2 langkah).