解题方法
1 . 已知椭圆
与双曲线
有相同的焦点
,
为椭圆上一点,
面积最大值为
.
(1)求椭圆
的方程;
(2)直线
与椭圆
相交于
两点,若
轴,垂足为
.求证:直线
的斜率
;
(3)
为椭圆
的右顶点,若过点
且斜率不为0的直线
交椭圆
于
两点,
为坐标原点.问:
轴上是否存在定点
,使得
恒成立.若存在,请求出点
的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfd404346873e85e782f63107082d7d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b343d77ee4dced82ecc479206c42977d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbbc9c5353894f2c93c205c3ac04f03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc47d7c132eb5e257c9f89ddc8106db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34c157ff302a881c17514534903c575f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d1a8a5df71823996cb843f146b43ba.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb448b813339bad24b1acbd6e484b340.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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a06cee2345dd9520f6cb27183dee9b0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
您最近一年使用:0次
2023-07-06更新
|
755次组卷
|
5卷引用:第3课时 课中 直线与椭圆的位置关系
解题方法
2 . 已知
,
分别为椭圆
:
的左,右顶点,椭圆
过点
,且离心率为
.
(1)求椭圆
的标准方程;
(2)若
为椭圆上异于
,
的一点,且直线
,
分别与直线
:
相交于
,
两点,且直线
与椭圆
交于另一点
,证明:
,
,
三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e454c7161999e2a67138869f59d319b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.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/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
您最近一年使用:0次
名校
解题方法
3 . 已知椭圆
的左、右焦点为
,
为
上一点,
垂直于
轴,且
、
、
成等差数列,
.
(1)求椭圆
的方程;
(2)直线l过点
,与椭圆
交于
两点,且点
在
轴上方. 记
的内切圆半径分别为
,若
,求直线
的方程.
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e99c00835ffc1896285fd94f1f78ae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77fee11267fe65012658a5fe1f27b64b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4de0159daeb62cb68801c7a6e971f39a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc47b02d4b4bedf20be6a0885a128d50.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线l过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6554ac3dff4a59833e407db887f6e6.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05faf2edecea8143b25d1d0a6a5f298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff8543261a8e351eb95cdfebb001a3b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5067c78657e8783c3145d66d3aa59247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2021-08-06更新
|
920次组卷
|
7卷引用:试卷10(第1章-3.3抛物线)-2021-2022学年高二数学易错题、精典题滚动训练(苏教版2019选择性必修第一册)
(已下线)试卷10(第1章-3.3抛物线)-2021-2022学年高二数学易错题、精典题滚动训练(苏教版2019选择性必修第一册)重庆市南开中学2022届高三上学期7月考试数学试题(已下线)一轮复习大题专练60—椭圆(求直线方程)—2022届高三数学一轮复习(已下线)专题20 椭圆、抛物线(解答题)-备战2022年高考数学(理)母题题源解密(全国甲卷)(已下线)专题21 椭圆、抛物线(解答题)-备战2022年高考数学(文)母题题源解密(全国甲卷)江西省新余市第一中学2022届高三高考押题卷数学(理)试题江西省丰城中学、上高二中2023届高三下学期2月联考数学(文)试题
4 . 已知椭圆中心在原点,焦点在
轴上,一个顶点为
,且其右焦点到直线
的距离为4.
(1)求椭圆的方程;
(2)是否存在斜率为
的直线
,使
与已知椭圆交于不同的两点
,且
?若存在,请求出
的取值范围,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71885f023172807ad43f2c9a670aa960.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a6f2fc16747698a7835260f56e595bc.png)
(1)求椭圆的方程;
(2)是否存在斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/769c76d50ab27e77dc8a95e31657f9ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解题方法
5 . 已知椭圆
的离心率为
,左、右焦点分别为
,
,过
的直线交椭圆E于A,B两点.当
轴时,
.
(1)求椭圆E的方程;
(2)求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a200ca2c4af794f4d1c6a5443830b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24624dffd30b66a5e4de57362b32b2a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff1c07d3ab5f594be5fffe13ebaaccb.png)
(1)求椭圆E的方程;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b5d0c5e3f414d6eaefb9d19b42b405.png)
您最近一年使用:0次
2022-02-13更新
|
365次组卷
|
4卷引用:第5课时 课后 双曲线的几何性质
(已下线)第5课时 课后 双曲线的几何性质(已下线)第2课时 课后 椭圆的几何性质山东省菏泽市2021-2022学年高二上学期期末数学试题浙江省温州市瑞安市第六中学2021-2022学年高二下学期入学检测数学试题 .
名校
6 . 某隧道的拱线设计为半个椭圆的形状,最大拱高
为6米(如图所示),路面设计是双向车道,车道总宽为
米,如果限制通行车辆的高度不超过4.5米,那么隧道设计的拱宽
至少应是__________ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781850d4ae9acc62b73c2669b60b5d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/19/ec88ca56-cc59-4b36-8a00-c1dd898341be.png?resizew=214)
您最近一年使用:0次
2018-02-23更新
|
1425次组卷
|
14卷引用:3.1.2 椭圆的几何性质(2)
(已下线)3.1.2 椭圆的几何性质(2)(已下线)第三课时 课中 3.1.2 第2课时 椭圆的标准方程及性质的应用苏教版(2019) 选修第一册 一蹴而就 第3章 3.1.2 椭圆的几何性质人教B版(2019) 选修第一册 过关检测 第二章 2.5.2 椭圆的几何性质3.1.2 椭圆的几何性质(三)(同步练习基础版)北师大版(2019) 选修第一册 数学奇书 第二章 圆锥曲线 §1 椭圆 1.2 椭圆的简单几何性质 第2课时 椭圆的几何性质的综合应用山东省德州市2017-2018学年高二上学期期末考试数学(理)试题山东省乐陵市第一中学2017-2018学年高二上学期期末考试数学(文)试题山东省乐陵市第一中学2017-2018学年高二上学期期末考试数学(理)试题山东省德州市2017-2018学年高二上学期期末考试数学文试题广西壮族自治区南宁市第三中学2019-2020学年高二12月月考数学(文)试题广西壮族自治区南宁市第三中学2019-2020学年高二12月月考数学(理)试题(已下线)3.1.2 椭圆的简单几何性质【第一课】“上好三节课,做好三套题“高中数学素养晋级之路广东省深圳外国语学校龙华高中部2022-2023学年高二上学期期末考试数学试题
7 . 已知椭圆
过点
,且离心率为
.
(1)求
的方程;
(2)若点
,直线
与椭圆
交于两点
、
,且与
轴交于点
,连接
和
.从下列三个条件中选取一个作为条件,探究直线
是否过定点,如果是,请求出定点,如果不是,请说明理由.
①点
关于
轴的对称点在直线
上;
②若直线
与直线
的倾斜角分别为
、
,且满足
;
③
、
两点不在
轴上,设
和
的面积分别为
和
,且
.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c179fe7eff7abfdd092b63c9c1b82d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a072f7e07dcefc3db2a0443214eedaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc5bd66dd6d5e09ff0893a938aed56e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
①点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
②若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1dbab7580d1671f4d5fa8cfa5c5e981.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf6b4539674e585ecd20d20e8974b611.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4088a93100186f0510eba81f962ba90e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39931f7165558c636da27ca0f5765182.png)
注:如果选择多个条件分别解答,按第一个解答计分.
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解题方法
8 . 已知椭圆
的焦距为
,点
在椭圆
上.
(1)求椭圆
的方程;
(2)直线
与椭圆
交于
,
两点且线段
的中点为
,
的平分线交
轴于点
,求证
轴.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef6b94e42869013745050aba059b58dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894fe538820484f62f225d8bd8aa0c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc2e2a623750437278d536532ab85308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb686e4f5e3938575bc547e849d5513f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3a3db6d96518255f96ad7fc1ac98f4.png)
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9 . 已知椭圆
:
的离心率为
,短轴长为2.
(1)求椭圆
的标准方程;
(2)过点
的直线
与椭圆
交于
、
两点,若以
为直径的圆恰好过坐标原点,求直线
的方程及
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e75ebcf0d951f833ca90e040f3cd4db6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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2019-12-27更新
|
447次组卷
|
5卷引用:高二上学期期末综合测试二+(A卷基础卷)-2020-2021学年高二数学上学期同步单元AB卷(苏教版,新课改地区专用)
(已下线)高二上学期期末综合测试二+(A卷基础卷)-2020-2021学年高二数学上学期同步单元AB卷(苏教版,新课改地区专用)山东省九校2019-2020学年高三上学期12月检测数学试题(已下线)考点27 椭圆的综合问题-2021年高考数学三年真题与两年模拟考点分类解读(新高考地区专用)(已下线)期中测试卷02(B卷·提升能力)-2021-2022学年高二数学同步单元AB卷(苏教版2019选择性必修第一册)【学科网名师堂】河南省济源市英才学校2023-2024学年高二上学期11月月考数学试题
2014高三·全国·专题练习
10 . 已知双曲线x2-
=1.
![](https://img.xkw.com/dksih/QBM/2014/3/22/1571569824120832/1571569829601280/STEM/1889d4481f8d454e9fbaa517633e2f79.png)
(1)若一椭圆与该双曲线共焦点,且有一交点P(2,3),求椭圆方程.
(2)设(1)中椭圆的左、右顶点分别为A、B,右焦点为F,直线l为椭圆的右准线,N为l上的一动点,且在x轴上方,直线AN与椭圆交于点M.若AM=MN,求∠AMB的余弦值;
(3)设过A、F、N三点的圆与y轴交于P、Q两点,当线段PQ的中点为(0,9)时,求这个圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a101433f169509edcea2d58f0b9bed0b.png)
![](https://img.xkw.com/dksih/QBM/2014/3/22/1571569824120832/1571569829601280/STEM/1889d4481f8d454e9fbaa517633e2f79.png)
(1)若一椭圆与该双曲线共焦点,且有一交点P(2,3),求椭圆方程.
(2)设(1)中椭圆的左、右顶点分别为A、B,右焦点为F,直线l为椭圆的右准线,N为l上的一动点,且在x轴上方,直线AN与椭圆交于点M.若AM=MN,求∠AMB的余弦值;
(3)设过A、F、N三点的圆与y轴交于P、Q两点,当线段PQ的中点为(0,9)时,求这个圆的方程.
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