名校
解题方法
1 . 过椭圆
的右焦点
的直线交该椭圆于A、B两点,线段AB的中点为
,则椭圆E的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d6f746c2355072d914591bf60c3801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc485c6c7c65a4c982d163ef115bca48.png)
您最近一年使用:0次
名校
2 . 已知椭圆
的左右焦点分别为
,过椭圆外一点
和上顶点
的直线交椭圆于另一点
,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b67528f875a6d4bac8bbf784f7b66a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
,则椭圆的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f9772b3a117674e43222976a5dc816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766d4255ccdb1e3d7e52986db13accd8.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/6b67528f875a6d4bac8bbf784f7b66a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a12a030f853a383a50fd889486c9f42.png)
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2024-01-03更新
|
706次组卷
|
2卷引用:重庆市南开中学校2024届高三上学期第五次质量检测数学试题
名校
解题方法
3 . 设椭圆
的两个焦点是
,过点
的直线与椭圆
交于点
,若
,且
,则椭圆
的离心率是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd682fa1950c2675f93146cabd0633ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70234eb8d90808471f1e7483b1582dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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解题方法
4 . 已知椭圆方程为
,则该椭圆离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/628b55369f35947a733cce4f62e8f6d3.png)
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解题方法
5 . 焦点在
轴上且中心为原点的椭圆
与椭圆
:
离心率相同,且
,
在第一象限内公共点的横坐标为1,则
的方程_______________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/271e595c257e4c0ade90a9bbbf0e6b0d.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/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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名校
解题方法
6 . 已知椭圆
的离心率为
,则椭圆
的长轴长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55ec014c91737b0f0577922c806b711.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2023-10-09更新
|
986次组卷
|
2卷引用:重庆市第八中学校2023-2024学年高二上学期第一次月考数学试题
名校
解题方法
7 . 如图所示、点
为椭圆
的顶点,
为
的右焦点,若
,则椭圆
的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7330b5e254388675e10975dda1ec25e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.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/8a1975777c76f183bf6da35da3b00224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/15/b00a037a-9d9b-432b-b929-b98a06fe6fcc.png?resizew=187)
您最近一年使用:0次
2023-02-13更新
|
608次组卷
|
2卷引用:重庆市第十八中学2023-2024学年高二上学期12月学习能力摸底数学试题
名校
解题方法
8 . 椭圆
的左,右焦点分别是
,
,椭圆
上存在一点
,满足
,
,则椭圆
的离心率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c446fbaa58245b19add0bb81977f39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5076829e649b3f3866d4a7e07a5713e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697c20fca284394bf5d5b9e5f6d952e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e457eb8c28f5ab11a879c954e15ee87e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d0ca11f053900df652b3acd69fbf8d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
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2023-02-07更新
|
836次组卷
|
3卷引用:重庆市巴蜀中学校2022-2023学年高二上学期期末数学试题
解题方法
9 . 若椭圆经过点
,且焦点坐标为
,则椭圆的离心率为___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b9ee165fff07f902ab60ee54fcb1f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f068876bb130f0a3433e4df39c4117e.png)
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解题方法
10 . 椭圆
(
且
)的离心率为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9186b17ea43d7d7ff0c78ae48a60f9c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a369ce3949b2bd2747a48054f7b951c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
您最近一年使用:0次
2022-11-15更新
|
514次组卷
|
2卷引用:重庆市南开中学校2022-2023学年高二上学期11月月考数学试题