焦点 (x^2)/(64)-(y^2)/(32)=1

解答

焦点

\frac{x ^{2}}{64} - \frac{y ^{2}}{32} = 1

(46, 0), (- 46, 0)

求解步骤

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

计算双曲线性质

\frac{x ^{2}}{64} - \frac{y ^{2}}{32} = 1 :

左右开口双曲线，

(h, k) = (0, 0), a = 8, b = 42

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

计算

c :

c = 8^{2} + (42)^{2} : 46

(0 + 46, 0), (0 - 46, 0)

整理后得

(46, 0), (- 46, 0)