(y-1)^2-9(x-2)^2=9

解答

(y - 1)^{2} - 9 (x - 2)^{2} = 9

(h, k) = (2, 1), a = 3, b = 1

求解步骤

(y - 1)^{2} - 9 (x - 2)^{2} = 9

将

(y - 1)^{2} - 9 (x - 2)^{2} = 9

改写为标准双曲线方程形式

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

因此双曲线的性质为:

(h, k) = (2, 1), a = 3, b = 1

y^{2} = (- x)^{2} + 6

\frac{4 b - 4 a}{b - a} = (a^{2} - b^{2})

\frac{x ^{2}}{25} - y^{2} = 1

v er t i ces \frac{( x - 3 ) ^{2}}{49} - \frac{( y + 5 ) ^{2}}{25} = 1

v er t i ces 9 x^{2} - y^{2} - 36 x - 6 y + 18 = 0