焦点 (x^2)/(25)-(y^2)/(36)=1

解答

焦点

\frac{x ^{2}}{25} - \frac{y ^{2}}{36} = 1

(61, 0), (- 61, 0)

求解步骤

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

计算双曲线性质

\frac{x ^{2}}{25} - \frac{y ^{2}}{36} = 1 :

左右开口双曲线，

(h, k) = (0, 0), a = 5, b = 6

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

计算

c :

c = 5^{2} + 6^{2} : 61

(0 + 61, 0), (0 - 61, 0)

整理后得

(61, 0), (- 61, 0)

f oc i 25 y^{2} - 16 x^{2} = 400

f oc i \frac{x ^{2}}{9} - \frac{y ^{2}}{49} = 1

f oc i 4 x^{2} - 3 y^{2} - 8 x - 8 = 0

f oc i \frac{( x - 3 ) ^{2}}{25} - \frac{( y + 1 ) ^{2}}{25} = 1

f oc i \frac{x ^{2}}{5625} - \frac{y ^{2}}{1600} = 1