名校
1 . 已知
,
分别为椭圆的
左、右焦点,若直线
上存在点
,使
为等腰三角形,则椭圆离心率的范围是________ .
![](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/0fa5d6092f598c7da4796f965e40525a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a9df1061c3ba5151ba2f7359acaf356.png)
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2019-10-25更新
|
25097次组卷
|
8卷引用:专题02 圆锥曲线--高二期末考点大串讲(沪教版2020选修)
(已下线)专题02 圆锥曲线--高二期末考点大串讲(沪教版2020选修)黑龙江省大庆市铁人中学2019-2020学年高二上学期10月月考数学(理)试题黑龙江省双鸭山市尖山区第一中学2019-2020学年高二上学期期中数学(理)试题贵州省遵义市南白中学2019-2020学年高二上学期第三次月考数学(理)试题贵州省遵义市南白中学2019-2020学年高二上学期第三次月考数学(文)试题四川省眉山市第一中学2021-2022学年高二上学期期中考试数学(理)试题(已下线)3.1.2 椭圆的几何性质(1)上海市松江二中2023-2024学年高二下学期3月月考数学试卷
名校
2 . 已知椭圆C1:
1(a1>0,b1>0)与双曲线C2:
1(a2>0,b2>0)相同的焦点F1,F2(F1,F2分别为左右焦点),若点P是C1和C2在第一象限内的交点,|F1F2|=|PF2|,设C1和C2的离心率分别是e1,e2,则e2﹣e1的取值范围是_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a939d180a56064524fc79c1ff21cf441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3145d9f574101c6c1eba2451c309559e.png)
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3 . 已知
,
为椭圆
的左,右焦点,且点
椭圆
上,若满足
的点
有两个,则椭圆
的离心率为__________ .
![](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/851a5d6ec23256f9b4a9e98aa92945fe.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/8786e2332514282b5b2e1d8b6aeb7d47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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4 . 已知椭圆
,
,
,斜率为
的直线与
相交于
两点,若直线
平分线段
,则
的离心率等于__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b62194097ac66a5093c57fca2f5b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae104d6d67d114b588a5680b124b0e45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.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/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2019-08-02更新
|
827次组卷
|
2卷引用:云南省昆明市2018-2019学年高二下学期期末考试数学(文)试题
名校
5 . 已知椭圆
,双曲线
.若双曲线
的两条渐近线与椭圆
的四个交点及椭圆
的两个焦点恰为一个正六边形的顶点,则椭圆
与双曲线
的离心率之积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c6162828793e697cb1ad643b287c4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae772b6f2442b211a3e3e51ad99da35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
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2019-07-15更新
|
1137次组卷
|
6卷引用:河南省平顶山市2018-2019学年高二下学期期末数学试题
名校
6 . 已知
为椭圆
上任意一点,点
,
分别在直线
与
上,且
,
,若
为定值,则椭圆的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.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/9c84e54fca7052108b4f2a299882a3f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0cd195c205a71f99a504bdb1be1ae11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076a172a209cc5c55e1fd26e21a52923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05d2748e6edc43053b53354b06685fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566911e63c824f77a97fef44cb89d3d0.png)
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2019-07-08更新
|
2976次组卷
|
6卷引用:浙江省丽水市2018-2019学年高二第二学期期末教学质量监控数学试题
浙江省丽水市2018-2019学年高二第二学期期末教学质量监控数学试题湖南师范大学附属中学2020届高三下学期5月模拟考试数学(文)试题(已下线)第36讲 圆锥曲线的离心率问题-2022年新高考数学二轮专题突破精练吉林省白城市洮南市第一中学2022-2023学年高二上学期期中数学试题(已下线)重难专攻(九)?圆锥曲线中的定值问题(核心考点集训)四川省德阳市德阳中学校2023-2024学年高二上学期11月月考数学试题
7 . 如图,椭圆C:
的顶点分别为
,
,
,
,记四边形
的面积为
,四边形
的内切圆面积为
,若
,则椭圆C的离心率的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00df4f17848c072b51e80d427d486e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/035a5a88e7e2d6ef2b47d992412a1f2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb960b00b7d4985d659b62eb74f470a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ed513f56811aa1d314514c5c10d90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef3c9dd64ecdf6d1fc3ab081aeb6a23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4925f7caf9fb69c7cf3b4375275aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701e8fe74f0afb74b16fc977fed34d86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4925f7caf9fb69c7cf3b4375275aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c84f27e920fe12854e85c6aa2533a8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/902670558f2dff6db291c81592cafa28.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/f12e473c-51f2-450f-80c3-9de82cb8298d.png?resizew=174)
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2019-03-18更新
|
457次组卷
|
2卷引用:【市级联考】江苏省海门市2018-2019学年高二上学期期末联考数学(理)试题
名校
8 . 如图,F1,F2是双曲线C1:x2-
=1与椭圆C2的公共焦点,点A是C1,C2在第一象限的公共点.若|F1F2|=|F1A|,则C2的离心率是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a101433f169509edcea2d58f0b9bed0b.png)
![](https://img.xkw.com/dksih/QBM/2020/1/9/2373254217515008/2374640397336577/STEM/88cdb1caa73f442bbbabadde004170c7.png?resizew=94)
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2020-01-11更新
|
1764次组卷
|
7卷引用:甘肃省兰州市联片办学2019-2020学年高二上学期期末考试数学(文)试题
9 . 已知椭圆
过点
,其短轴长的取值范围是
,则椭圆离心率的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0dce10bf671cc2ebc67aa7fd568a9a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38620d68461307e424923b903ab518f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a8eec1c8d1c199819cc936161dc4a91.png)
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10 . 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)
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