离心率 (x^2}{36}-\frac{y^2)/4 =1

解答

离心率

\frac{x ^{2}}{36} - \frac{y ^{2}}{4} = 1

\frac{10}{3}

十进制

1.05409 \dots

求解步骤

= \frac{a ^{2} + b ^{2}}{a}

计算双曲线性质

\frac{x ^{2}}{36} - \frac{y ^{2}}{4} = 1 :

左右开口双曲线，

(h, k) = (0, 0), a = 6, b = 2

= \frac{6 ^{2} + 2 ^{2}}{6}

整理后得

= \frac{10}{3}

ecce n t r i c i t y \frac{x ^{2}}{40} - \frac{y ^{2}}{120} = 1

ecce n t r i c i t y 0 = - \frac{400}{9} x^{2} + 16 y^{2} + 400

ecce n t r i c i t y \frac{x ^{2}}{121} - \frac{y ^{2}}{81} = 1

ecce n t r i c i t y \frac{x ^{2}}{27} - \frac{y ^{2}}{216} = 1

ecce n t r i c i t y x^{2} - \frac{y ^{2}}{4} = 1