(x^2)/(4+y^2)=1

解答

\frac{x ^{2}}{4 + y ^{2}} = 1

(h, k) = (0, 0), a = 2, b = 2

求解步骤

\frac{x ^{2}}{4 + y ^{2}} = 1

将

\frac{x ^{2}}{4 + y ^{2}} = 1

改写为标准双曲线方程形式

\frac{( x - 0 ) ^{2}}{2 ^{2}} - \frac{( y - 0 ) ^{2}}{2 ^{2}} = 1

因此双曲线的性质为:

(h, k) = (0, 0), a = 2, b = 2

25 y^{2} - 4 x^{2} = 100

4 x^{2} - 9 y^{2} - 48 x - 72 y + 108 = 0

9 x^{2} - 4 y^{2} - 40 y - 136 = 0

4 x^{2} - y^{2} - 8 x - 4 y - 4 = 0

\frac{y ^{2}}{64} - \frac{x ^{2}}{9} = 1