焦点 4y^2-25x^2=100

解答

焦点

4 y^{2} - 25 x^{2} = 100

(0, 29), (0, - 29)

求解步骤

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

计算双曲线性质

4 y^{2} - 25 x^{2} = 100 :

上下开口双曲线，

(h, k) = (0, 0), a = 5, b = 2

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

计算

c :

c = 5^{2} + 2^{2} : 29

(0, 0 + 29), (0, 0 - 29)

整理后得

(0, 29), (0, - 29)