焦点 (x^2)/(16)-(y^2)/(36)=1

解答

焦点

\frac{x ^{2}}{16} - \frac{y ^{2}}{36} = 1

(213, 0), (- 213, 0)

求解步骤

(h + c, k), (h - c, k)

计算双曲线性质

\frac{x ^{2}}{16} - \frac{y ^{2}}{36} = 1 :

左右开口双曲线，

(h, k) = (0, 0), a = 4, b = 6

(0 + c, 0), (0 - c, 0)

计算

c :

c = 4^{2} + 6^{2} : 213

(0 + 213, 0), (0 - 213, 0)

整理后得

(213, 0), (- 213, 0)

v er t i ces \frac{x ^{2}}{16} + \frac{y ^{2}}{25} = 1

y^{2} - 6 y - 4 x + 5 = 0

v er t i ces \frac{x ^{2}}{9} - \frac{y ^{2}}{16} = 1

ce n t er 16 x^{2} + 9 y^{2} = 144

v er t i ces f (x) = x^{2} + 4 x - 1