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Mathematics


数学基础
Questions in category: 数学基础 (Foundations of Mathematics).

1

求双曲线的离心率

Posted by haifeng on 2014-12-19 15:05:23 last update 2014-12-19 15:05:23 | Answers (1) | 收藏

已知双曲线 $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ ($a > 0$, $b > 0$) 的左右焦点分别为 $F_1,F_2$. $P$ 是双曲线上一点, 且满足 $PF_1\perp PF_2$, $|PF_1|\cdot|PF_2|=4ab$, 求此双曲线的离心率.


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