椭圆
的左、右焦点为
,过
的直线交椭圆于A,B两点.
,
的三边构成等差数列,则椭圆C的离心率为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/6/1487423f-3ba2-40be-876e-de31d68023e0.png?resizew=192)
![](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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1e879a855cfcc91e681794b6eec8c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e420b016c21c69511fccabacdbf98f2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/6/1487423f-3ba2-40be-876e-de31d68023e0.png?resizew=192)
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
更新时间:2023-03-02 22:27:17
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相似题推荐
单选题
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适中
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【推荐1】已知数列
是公比不为1的等比数列,
为其前n项和,满足
,且
成等差数列,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4d6b006911f80c93112d7b60a6ad75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef354e5c5ff828cc8d27c71badd40f98.png)
A.![]() | B.6 | C.7 | D.9 |
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【推荐2】等比数列
各项为正,
,
,
成等差数列
为
的前n项和,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cbeed5324c432101be517dd6f5c735b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feaf542829b99205948fa97442c3db92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3130df0849a9039b9fb059009f45d907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9194e42197a01d1ab34f6fac424e0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e05699b75e8128a96f8a0c97bc298985.png)
A.2 | B.![]() | C.![]() | D.![]() |
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解题方法
【推荐1】已知椭圆
的左、右焦点分别为
,过点
作直线
与椭圆
交于
两点,设
,若
内切圆的面积为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5ced4a3702ee5559304c9942400d50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5eb2485f90dbfd0dfd6e7d179a856f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bffc1df8f9d08573665c4771f98fa3f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】已知
分别是椭圆
且
的焦点,椭圆E的离心率
,过点
的直线交椭圆
于
两点,则
的周长是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee69ba6e33ffc2addeccc3ddef839df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104656f7edbde27736da94d82be68723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c7316976a221c051a2c14df80b1347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5eb2485f90dbfd0dfd6e7d179a856f5.png)
A.![]() | B.![]() | C.4或![]() | D.8或![]() |
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解题方法
【推荐1】已知椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a477507f87f2efe9e7bb3c8086be3dcf.png)
,直线
与椭圆
相切,则椭圆的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a477507f87f2efe9e7bb3c8086be3dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/893e658908683584084ea8cd2b1abb23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed392d1f089af2484fa6549fe394220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
【推荐2】已知椭圆
的左焦点为
轴上的点
在椭圆外,且线段
与椭圆
交于点
,若
,则
椭圆的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/865e9cac45e0017f8b69d3de635f20c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2044ce197d5064eb0f19960323204d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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