(x^2)/4-(y^2)/(32)=1

解答

\frac{x ^{2}}{4} - \frac{y ^{2}}{32} = 1

(h, k) = (0, 0), a = 2, b = 42

求解步骤

\frac{x ^{2}}{4} - \frac{y ^{2}}{32} = 1

将

\frac{x ^{2}}{4} - \frac{y ^{2}}{32} = 1

改写为标准双曲线方程形式

\frac{( x - 0 ) ^{2}}{2 ^{2}} - \frac{( y - 0 ) ^{2}}{( 4 2 ) ^{2}} = 1

因此双曲线的性质为:

(h, k) = (0, 0), a = 2, b = 42

16 x^{2} - 9 y^{2} - 32 x + 36 y + 124 = 0

4 y^{2} - 3 x^{2} - 8 y + 6 x - 3 = 0

- x^{2} + 9 y^{2} + 90 y + 189 = 0

\frac{( x ^{2} )}{625} - \frac{( y ^{2} )}{3600} = 1

\frac{x ^{2}}{16} - (y - 7)^{2} = 1