已知
为双曲线
的左焦点,过点
的直线与圆
交于
两点(
在
之间),与双曲线
在第一象限的交点为
为坐标原点,若
,则双曲线的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef66f4832adc43902055a7e6d258037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b427de4d7fe3b4982cf44930f778a00f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64541a71124237b83505dc47252d47b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876f208635a511c8dc89da1dad21c868.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7617fe607b17cdaeeccb380915c7b6ed.png)
更新时间:2023-02-23 08:16:37
|
【知识点】 求双曲线的离心率或离心率的取值范围
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【推荐1】已知双曲线
=1(a>0,b>0)的右焦点为F,P,Q为双曲线上关于原点对称的两点,若
=0,且∠POF<
,则该双曲线的离心率的取值范围为______ .
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【推荐2】双曲线
:
的左、右焦点分别为
、
,
是
右支上的一点,
与
轴交于点
,
的内切圆在边
上的切点为
,若
,则
的离心率为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb74c0c2d1e5305cf55cfb9605929268.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b67528f875a6d4bac8bbf784f7b66a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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