线段AB是圆
:
的一条直径,离心率为
的双曲线
以A,B为焦点,若P是圆
与双曲线
的一个公共点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193326675354c818de55bdb594d7fc0a.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f285c23bbc61f073e174b411d4116d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193326675354c818de55bdb594d7fc0a.png)
更新时间:2023-02-09 16:31:58
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解题方法
【推荐1】已知
、
是双曲线
的左、右焦点,以
为圆心,
为半径的圆与
的一条渐近线切于点
,过
的直线
与
交于
、
两个不同的点,若
的离心率
,则下列结论中正确的序号有_____________ .
①
;
②
的最小值为
;
③若
,则
;
④若
、
同在
的左支上,则直线
的斜率
.
![](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/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6bb22548794223f3caef1016c7b8f1.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb8e4633ac2ba6064c7c1d37e14cb09.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031661aa4b14c3b9954ec444ad5b6f05.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39640d6179eb537de7f30b120c2a35d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89de99eec69785123d702c6a6b665db5.png)
④若
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16cf5eaa68bfa7bb3ea3fddf6102482c.png)
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【推荐2】设双曲线
的左焦点和右焦点分别是
,点
是
右支上的一点,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6a2299a108a5f039461fd8cf8395db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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【推荐1】已知F是双曲线
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【推荐2】已知点
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的右支上,
,动点
满足
,
是双曲线的右焦点,则
的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dad0c75ce33673ec4c425896e8619e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32366143230ca122894a4bada7c7b96d.png)
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【推荐1】设中心在原点的双曲线与椭圆
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【推荐2】已知双曲线
的左、右焦点分别为
,
,点P在双曲线的右支上,当双曲线的离心率为3时,
的最大值为___________ .
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