1 . 已知椭圆
:
的右焦点为
,且点
在椭圆
上.
(1)求椭圆
的标准方程;
(2)已知动直线
过点
,且与椭圆
交于
两点.试问
轴上是否存在定点
,使得
恒成立?若存在,求出点
的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ba2238d6afe0187534155dd9ac48c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f122dc124d609e6afd281abefbbe0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f905b55bceeaa402892bea48bdf6bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
您最近一年使用:0次
2016-12-04更新
|
938次组卷
|
10卷引用:2017届山东省师大附中高三第三次模拟考试数学(理)试卷
2017届山东省师大附中高三第三次模拟考试数学(理)试卷2015-2016学年四川省攀枝花十五中高二上学期期中理科数学试卷2016届湖北省优质高中高三下学期联考理科数学A卷2015-2016学年四川省攀枝花市十五中高二上学期期中理科数学试卷2015-2016学年江西省抚州市南城一中高二3月月考理科数学试卷2017届广东省广雅中学、江西省南昌二中高三下学期联合测试理数试卷吉林省白城市通榆县第一中学2018-2019学年高二下学期第三次月考(期中)数学(理)试题安徽省滁州市定远县重点中学2020届高三下学期6月模拟数学(理)试题山西省大同市2022届高三上学期学情调研测试数学(理)试题(已下线)专题34 圆锥曲线存在性问题的探究
2 . 如图,椭圆
的左、右焦点分别为
过
的直线交椭圆于
两点,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9791f9921b0e33237809e8839992a8eb.png)
,求椭圆的标准方程
(2)若
求椭圆的离心率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf56a7eb7cf44143f7275ad8f61be1b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9791f9921b0e33237809e8839992a8eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c16e942a2cc5e46910c9162719bd9ee.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fcb0dee66e1551c2cb8c9d8619ad5aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dac40bf7acf1a118328b0560182a6ef.png)
您最近一年使用:0次
2016-12-03更新
|
5102次组卷
|
16卷引用:山东省济南市历城区历城第二中学2019-2020学年高二上学期期中数学试题
山东省济南市历城区历城第二中学2019-2020学年高二上学期期中数学试题2015年全国普通高等学校招生统一考试理科数学(重庆卷)海南省海口市第一中学2017届高三11月月考数学(文)试题(B卷)【全国百强校】湖南省衡阳市第一中学2018-2019学年高二下学期期中考试数学(理)试题北京市北京师范大学第二附属中学2019-2020学年高二上学期期中数学试卷山西省怀仁市重点中学2019-2020学年高二上学期期末考试数学(理)试题陕西省商洛市洛南中学2020-2021学年高三上学期第一次模拟数学(文)试题人教A版(2019) 选修第一册 实战演练 第三章 课时练习22 椭圆的简单几何性质2023版 苏教版(2019) 选修第一册 突围者 第3章 第一节 课时2 椭圆的几何性质2023版 北师大版(2019) 选修第一册 名师精选卷 第六单元 椭圆 B卷2023版 苏教版(2019) 选修第一册 名师精选卷 第六单元 椭圆B卷人教B版(2019) 选修第一册 北京名校同步练习册 第二章 平面解析几何初步 2.5椭圆 2.5.2椭圆的几何性质(一)(已下线)考点11 圆锥曲线的定义及其应用(椭圆,双曲线,抛物线) 2024届高考数学考点总动员江苏省泰州市泰兴中学2023-2024学年高二上学期阶段测试(三)数学试题(已下线)专题24 解析几何解答题(理科)-1专题37平面解析几何解答题(第二部分)
3 . 动圆M过定点A(-
,0),且与定圆A´:(x-
)2+y2=12相切.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/16/e1f875e6-1f2c-4a4b-99f1-179d99a5194c.png?resizew=322)
(1)求动圆圆心M的轨迹C的方程;
(2)过点P(0,2)的直线l与轨迹C交于不同的两点E、F,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/16/e1f875e6-1f2c-4a4b-99f1-179d99a5194c.png?resizew=322)
(1)求动圆圆心M的轨迹C的方程;
(2)过点P(0,2)的直线l与轨迹C交于不同的两点E、F,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5514a14f65f15ecf4078f201403df438.png)
您最近一年使用:0次
4 . 已知点
是圆
上任意一点,点
与点
关于原点对称.线段
的中垂线
分别与
交于
两点.
(1)求点
的轨迹
的方程;
(2)斜率为1的直线
与曲线
交于
两点,若
(
为坐标原点),求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fdc28de4b46c7a176ba6858a856a918.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587662afaaecad25c6f5f9e5e7ff28b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)斜率为1的直线
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f72452cc769db86489edfd6bd0ec45fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
5 . 已知
为平面内两定点,动点
满足
.
(I)求动点
的轨迹方程;
(II)设直线
与(I)中点
的轨迹交于
两点.求
的最大面积及此时直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/785410c1bbdfee82d68e6051c7266605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135245b7201e1b3773fb25894f028992.png)
(I)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(II)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a899d3daa213012ba6651909a2b2a762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc96cbcfa8d5e19732facffb936bec5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
12-13高三上·山东聊城·期末
6 . 如图,椭圆的方程为
,其右焦点为F,把椭圆的长轴分成6等分,过每个等分点作x轴的垂线交椭圆上半部于点P1,P2,P3,P4,P5五个点,且|P1F|+|P2F|+|P3F|+|P4F|+|P5F|=5
.
![](https://img.xkw.com/dksih/QBM/2012/2/9/1570724484481024/1570724490035200/STEM/6097699b4ad343a6be5cb0d7638700f6.png?resizew=328)
(1)求椭圆的方程;
(2)设直线l过F点(l不垂直坐标轴),且与椭圆交于A、B两点,线段AB的垂直平分线交x轴于点M(m,0),试求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ca35745ecb1d7bec5948767857a4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://img.xkw.com/dksih/QBM/2012/2/9/1570724484481024/1570724490035200/STEM/6097699b4ad343a6be5cb0d7638700f6.png?resizew=328)
(1)求椭圆的方程;
(2)设直线l过F点(l不垂直坐标轴),且与椭圆交于A、B两点,线段AB的垂直平分线交x轴于点M(m,0),试求m的取值范围.
您最近一年使用:0次
11-12高二上·山东济宁·期中
7 . 已知动点
与双曲线
的两个焦点
,
的距离之和为
定值,
(1)求动点
的轨迹方程;
(2)设
,若斜率为
的直线
与
点的轨迹交于不同的两点A、B,若要使
,试求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1fa37c4c826b5dcfebe86ab6177906.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/38387ba1cadfd3dfc4dea4ca9f613cea.png)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25e326fdf9e5456f48e8a99a069f379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2799abb64fd7bfce9dfa7228aa460564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60097cec26b613837579cff70a863a42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2011·山东青岛·一模
8 . 已知圆
,点
,点
在圆
运动,
垂直平分线交
于点
.
(I) 求动点
的轨迹
的方程;
(II) 设
是曲线
上的两个不同点,且点
在第一象限,点
在第三象限,
若
,
为坐标原点,求直线
的斜率
;
(III) 过点
且斜率为
的动直线
交曲线
于
两点,在
轴上是否存在定点
,使以
为直径的圆恒过这个点?若存在,求出
的坐标,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5643dc046de0b39ed22ff4adcf060ba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b5b617420c00283d6727528582e644a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a7eb1d3ca5c76ad68fb87c3dd5d548a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/991a908f49f9deb228415dcb3d9248aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(I) 求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
(II) 设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/550cae6e4605c0f9c9ed83efc3602b48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(III) 过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3e82542b89e79d5f30ff2fb69cf030.png)
![](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/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
12-13高二上·山东济宁·期末
名校
9 . 已知圆
和点
,
是圆上一点,线段
的垂直平分线交
于
点,则
点的轨迹方程是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c926f88941276d2508094b9d92b863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d03fa28c117649b0fdfe17eed7b583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2013-04-16更新
|
1499次组卷
|
8卷引用:2012-2013学年山东省济宁市微山一中高二上学期期末文科数学试卷
(已下线)2012-2013学年山东省济宁市微山一中高二上学期期末文科数学试卷福建省闽侯县第八中学2017-2018学年高二上学期期末考试数学(文)试题安徽省定远重点中学2017-2018学年高二上学期期末考试数学(理)试题青海省西宁市第四高级中学2017-2018学年高二上学期期末考试数学(文)试题青海省西宁市第四高级中学2017-2018学年高二上学期期末考试数学(理)试题【全国百强校】内蒙古第一机械制造(集团)有限公司第一中学2018-2019高二下学期期中考试数学(文)试题内蒙古包头市第一机械制造(集团)有限公司第一中学2018-2019学年高二下学期期中考试数学(理)试题甘肃省武威市凉州区武威第一中学2019-2020学年高二上学期期中数学试题