已知双曲线
的左焦点为F,虚轴的上端点为B,P为双曲线右支上的一个动点,若
周长的最小值等于实轴长的4倍,则该双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150fe3137f76a6f05d9148c7d8c1810e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
19-20高二上·四川攀枝花·期末 查看更多[5]
四川省攀枝花市2019-2020学年高二上学期期末数学(文)试题四川省攀枝花市2019-2020学年高二上学期期末数学(理)试题四川省双流中学2019-2020学年高二3月月考数学(理)试题(已下线)期末重难点突破专题02-【尖子生专用】2021-2022学年高二数学考点培优训练(人教A版2019选择性必修第一册)(已下线)专题9-3 求椭圆双曲线离心率题型归类-1
更新时间:2020-02-18 13:53:16
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【知识点】 利用定义求双曲线中线段和、差的最值
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【推荐1】已知
是双曲线
的右焦点,
是
左支上一点,
,当
周长最小时,该三角形的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46ea62b01c61a649db58e76ffb0e9df.png)
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A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】已知双曲线
,
分别是双曲线的左右焦点,存在一点
,
点关于
点的对称点是
点,
点关于
点的对称点是
点,线段
的中点在双曲线上,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4ee22952081e774ce591e0c0fcf7b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14f8ae565db8a7d4b95fdd85e28afa2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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A.![]() | B.4 | C.![]() | D.8 |
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