9x^2-36x-4y^2-24y-36=0

解答

9 x^{2} - 36 x - 4 y^{2} - 24 y - 36 = 0

(h, k) = (2, - 3), a = 2, b = 3

求解步骤

9 x^{2} - 36 x - 4 y^{2} - 24 y - 36 = 0

将

9 x^{2} - 36 x - 4 y^{2} - 24 y - 36 = 0

改写为标准双曲线方程形式

\frac{( x - 2 ) ^{2}}{2 ^{2}} - \frac{( y - ( - 3 ) ) ^{2}}{3 ^{2}} = 1

因此双曲线的性质为:

(h, k) = (2, - 3), a = 2, b = 3

ecce n t r i c i t y x^{2} + 4 y^{2} = 16

4 x^{2} + 3 y^{2} + 8 x - 24 y + 51 = 0

f oc i 9 y^{2} - 25 x^{2} = 225

x^{2} - y^{2} = 4

f oc i \frac{x ^{2}}{81} + \frac{y ^{2}}{9} = 1