(x^2)/4-(3y^2)/4 =1

解答

\frac{x ^{2}}{4} - \frac{3 y ^{2}}{4} = 1

(h, k) = (0, 0), a = 2, b = \frac{2}{3}

求解步骤

\frac{x ^{2}}{4} - \frac{3 y ^{2}}{4} = 1

将

\frac{x ^{2}}{4} - \frac{3 y ^{2}}{4} = 1

改写为标准双曲线方程形式

\frac{( x - 0 ) ^{2}}{2 ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{2}{3} ) ^{2}} = 1

因此双曲线的性质为:

(h, k) = (0, 0), a = 2, b = \frac{2}{3}