如图,已知椭圆
的一个焦点为
,若椭圆上存在一点
,满足以椭圆短轴为直径的圆与线段
相切于该线段的中点,则该椭圆的离心率为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/190c72dd-c06c-46d4-81df-83e03a21cf2f.png?resizew=167)
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/16/190c72dd-c06c-46d4-81df-83e03a21cf2f.png?resizew=167)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2023-12-15 20:22:13
|
【知识点】 求椭圆的离心率或离心率的取值范围
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单选题
|
较易
(0.85)
解题方法
【推荐1】在平面直角坐标系
中,
是椭圆
:
(
)的右焦点,直线
与椭圆
交于
,
两点,且
,则椭圆
的离心率是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00203cf766a88f1356f1ee853a589e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1937911f043c9cff22750421bda8139b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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单选题
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较易
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名校
解题方法
【推荐2】已知椭圆
的左、右焦点分别为
,
,上、下顶点分别为A,B,若四边形
为正方形,则椭圆C的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](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/dfffd420523729074995e9e55f464d4c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次