焦点 9x^2-9y^2-18x+54=0

解答

焦点

9 x^{2} - 9 y^{2} - 18 x + 54 = 0

(1, 10), (1, - 10)

求解步骤

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

计算双曲线性质

9 x^{2} - 9 y^{2} - 18 x + 54 = 0 :

上下开口双曲线，

(h, k) = (1, 0), a = 5, b = 5

(1, 0 + c), (1, 0 - c)

计算

c :

c = 5^{2} + 5^{2} : 10

(1, 0 + 10), (1, 0 - 10)

整理后得

(1, 10), (1, - 10)