已知
,
是椭圆
的左、右焦点,过左焦点
的直线交椭圆于A,B两点,且满足
,则该椭圆的离心率是________ .
![](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/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d924a124abac98ea7e4f252c2b7f32.png)
更新时间:2020-02-15 23:02:31
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适中
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解题方法
【推荐1】设
为椭圆
的左焦点,
为
上第一象限的一点.若
,
,则椭圆
的离心率为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.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/a7bf26b223c9e9abdaff3642d0031be6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4196907637b59f0cbd29432ab00f72e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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填空题-单空题
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适中
(0.65)
名校
【推荐2】已知椭圆
和双曲线
有公共焦点,且左,右焦点分别为
,
,
与
在第一象限的交点为P,
是以
为底边的等腰三角形,若
,
与
的离心率分别为
,
,则
的取值范围是_____________ .
![](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/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.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/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0f128d08df53efd55ce7f3822991e0.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/d33558881906c228c262ff8024dcfc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33a99190a8fd29c36d5a002e3197cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce271c648a917dce7c33cfcb9da2ab3.png)
您最近一年使用:0次
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适中
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解题方法
【推荐1】设F1,F2为椭圆
的焦点,过F1且垂直于x轴的直线与椭圆交于A,B两点,若△ABF2为锐角三角形,则该椭圆离心率e的取值范围是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e43c3621b12e03422ae9868c78e3327.png)
您最近一年使用:0次
填空题-单空题
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适中
(0.65)
【推荐2】已知椭圆
与双曲线
的离心率是方程
的两根,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/630fb2dd5b1f0059c253736887ba63d0.png)
____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b8f3e0033b6a180aead5c6cb3a1f8ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2e9ad4ef1379e5ec9094415451a95ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7c4c7d78711ea3546e2e3f76efe604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/630fb2dd5b1f0059c253736887ba63d0.png)
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