渐近线 y^2-x^2=25

解答

渐近线

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

y = x, y = - x

求解步骤

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

计算双曲线性质

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

上下开口双曲线，

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

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

整理后得

y = x, y = - x

a sy m pt o t es 9 x^{2} - y^{2} - 54 x - 2 y + 71 = 0

a sy m pt o t es 4 y^{2} - 9 x^{2} + 16 y + 18 x = 29

a sy m pt o t es y^{2} - 25 x^{2} = 25

a sy m pt o t es \frac{( x - 2 ) ^{2}}{4} - \frac{( y + 3 ) ^{2}}{5} = 1

a sy m pt o t es \frac{( x + 2 ) ^{2}}{36} - y^{2} = 1