焦点 1/144 x^2-1/196 y^2=1

解答

焦点

\frac{1}{144} x^{2} - \frac{1}{196} y^{2} = 1

(285, 0), (- 285, 0)

求解步骤

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

计算双曲线性质

\frac{1}{144} x^{2} - \frac{1}{196} y^{2} = 1 :

左右开口双曲线，

(h, k) = (0, 0), a = 12, b = 14

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

计算

c :

c = 1 2^{2} + 1 4^{2} : 285

(0 + 285, 0), (0 - 285, 0)

整理后得

(285, 0), (- 285, 0)