x^2-3y^2=1

解答

x^{2} - 3 y^{2} = 1

(h, k) = (0, 0), a = 1, b = \frac{1}{3}

求解步骤

x^{2} - 3 y^{2} = 1

将

x^{2} - 3 y^{2} = 1

改写为标准双曲线方程形式

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

因此双曲线的性质为:

(h, k) = (0, 0), a = 1, b = \frac{1}{3}