已知双曲线
,过其右焦点F作x轴的垂线,交双曲线于A、B两点,若双曲线的左焦点在以AB为直径的圆上,则双曲线的离心率的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2021-01-29 06:16:46
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解题方法
【推荐1】如果直线
和函数
的图象恒过同一个定点,且该定点始终落在圆
的内部或圆上,那么
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aac9a4e77fbf095a71dd48486287f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81d2bf569f20610b2b508e02be7e719d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eba2d66be537d3f895286717d774712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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【推荐2】如图,设
,
是圆
上的两个动点,且M、P点都不在坐标轴上,点M关于原点的对称点为
,点M关于x轴的对称点为
,若直线
,
与y轴分别相交于
和
则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/793894c733026e3f5900b31538fcb731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a0d57b17ddff13ca6f17f3969a32b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/393a0e30b023f2a20d366eef481b5eea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566b349adddfbd4144f0ecf7a13b05bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924d2a2d9437355998498de38b5ebf54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1e4ea387d312c373970434e84779364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f667b7672302c7644e31103865e9230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3fa6438d73fac62ea3d535f1c1cdab.png)
A.2 | B.4 | C.6 | D.8 |
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【推荐1】已知双曲线
,过右焦点
作一条渐近线的垂线,垂足为
,点
在
上,且
,则
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9080a3bcdbfafa0b7dda973934a567b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.2 | D.3 |
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【推荐2】已知
、
分别为双曲线
的左、右焦点,且
,点
为双曲线右支一点,
为
的内心,若
成立,给出下列结论:
①当
轴时,
②离心率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9901d5edeedc906cc45ba66381778eb4.png)
③
④点
的横坐标为定值![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
上述结论正确的是( )
![](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/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66b4671d5fdb25b4ef83bedfe9ac7e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2456de68440c59f7959028f9bb99ea80.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0803835d6f594a60bd16c823e3ad2cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34909224dd715ceda3e2cec0f8b0797e.png)
②离心率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9901d5edeedc906cc45ba66381778eb4.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d3c32ff6e67183215e42b1e6c9c52f1.png)
④点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
上述结论正确的是( )
A.①② | B.②③ | C.①③④ | D.②③④ |
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