渐近线 25y^2-81x^2=2025

解答

渐近线

25 y^{2} - 81 x^{2} = 2025

y = \frac{9 x}{5}, y = - \frac{9 x}{5}

求解步骤

y = \pm \frac{a}{b} (x - h) + k

计算双曲线性质

25 y^{2} - 81 x^{2} = 2025 :

上下开口双曲线，

(h, k) = (0, 0), a = 9, b = 5

y = \frac{9}{5} (x - 0) + 0, y = - \frac{9}{5} (x - 0) + 0

整理后得

y = \frac{9 x}{5}, y = - \frac{9 x}{5}

a sy m pt o t es 6 x^{2} - 5 y^{2} - 24 x + 10 y - 11 = 0

a sy m pt o t es x^{2} - 4 y^{2} + 2 x + 8 y - 7 = 0

a sy m pt o t es y^{2} - 2 = x^{2} - 2 x

a sy m pt o t es y^{2} - x^{2} = 4

a sy m pt o t es y^{2} - x^{2} = 8