离心率 (x^2)/(100)-(y^2)/(64)=1

解答

离心率

\frac{x ^{2}}{100} - \frac{y ^{2}}{64} = 1

\frac{41}{5}

十进制

1.28062 \dots

求解步骤

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

计算双曲线性质

\frac{x ^{2}}{100} - \frac{y ^{2}}{64} = 1 :

左右开口双曲线，

(h, k) = (0, 0), a = 10, b = 8

= \frac{1 0 ^{2} + 8 ^{2}}{10}

整理后得

= \frac{41}{5}