已知椭圆
的右焦点
关于直线
对称的点在椭圆上,则椭圆的离心率为___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d585d2d6643471640905d234d9538c5.png)
更新时间:2019-01-18 12:30:54
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【知识点】 求椭圆的离心率或离心率的取值范围
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较难
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【推荐1】已知椭圆
的左、右焦点分别为
,
为椭圆
上一点,且
,若
关于
平分线的对称点在椭圆
上,则该椭圆的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db634c178cd7bffbd4cb886e3f2cca22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fe48bf7af022ecbbe13833fdcc2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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【推荐2】设椭圆
的右焦点为F,离心率为e,直线AB的斜率为k,A,B为椭圆上关于原点对称的两点,AF、BF的中点分别为M、N,以线段MN为直径的圆过原点
若
,则e的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00df4f17848c072b51e80d427d486e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e912a4a72a44aedaea6d7db5391869a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/000b31af420de87fbfe0d44e9e92b365.png)
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