若双曲线
的一条渐近线的倾斜角为
,则双曲线C的离心率为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290710d643ab6cd3b9edd73815b1d8ee.png)
更新时间:2024-01-22 08:27:19
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解题方法
【推荐1】已知双曲线
,右焦点为
,点
是直线
在第一象限上的动点,直线
与双曲线
的一条渐近线在第一象限上的交点为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42eea2a945bf477f4c7e78d551622326.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90e6bb54af35fd692a472b23c9f4694c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e665ede12df8b4df311dcc74179fab32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42eea2a945bf477f4c7e78d551622326.png)
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【推荐2】已知双曲线的方程为
,则此双曲线的离心率为___________ ,其焦点到渐近线的距离为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a218602e8e3a52f74f760059aa7014.png)
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解题方法
【推荐1】已知
,
为双曲线
的左右焦点,直线
与双曲线
交于
,
两点,且
,则双曲线
的离心率为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b90e7a90d507b086391092cd3cadd90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e04a6d711600fc4f8a8df876a85cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1737291a4ae76b0a4382b8c344aca72a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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【推荐2】双曲线的右顶点为A,点M,N均在C上,且关于y轴对称,若直线
,
的斜率之积为
,则C的离心率为
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