名校
解题方法
1 . (多选)已知椭圆
的左,右焦点分别为
直线
与椭圆相交于
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985ce06af0cd36cb00c9bbd153825c77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7af60290ec0b3c12e72d441038fa059.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
A.当![]() ![]() ![]() |
B.不存在![]() ![]() |
C.存在![]() ![]() |
D.存在![]() ![]() |
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2021-12-08更新
|
1484次组卷
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16卷引用:第8篇——平面解析几何-新高考山东专题汇编
(已下线)第8篇——平面解析几何-新高考山东专题汇编(已下线)第29练 椭圆-2021年高考数学一轮复习小题必刷(山东专用)2020届山东省淄博市部分学校高三下学期3月教学质量检测数学试题(已下线)专题16 平面解析几何(2)-2020年新高考新题型多项选择题专项训练(已下线)2021届高三数学新高考“8+4+4”小题狂练(1)(已下线)专题9.6 直线与圆锥曲线(精练)-2021年新高考数学一轮复习学与练江苏省泰州中学2020-2021学年高二上学期期初检测数学试题(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)(已下线)第05章+椭圆(B卷提升卷)-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+(B卷提升卷)-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)专题6.2 椭圆的性质与应用-备战2021年高考数学精选考点专项突破题集(新高考地区)(已下线)第5讲 椭圆-2021-2022学年高二数学多选题专项提升(人教A版2019选择性必修第一册)(已下线)专练32 椭圆的简单几何性质-2021-2022学年高二数学上册同步课后专练(人版A版选择性必修第一册)(已下线)专题8 第2讲 圆锥曲线的定义、方程与性质(已下线)第3章 椭圆方程及性质(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】甘肃省张掖市某重点校2023-2024学年高二上学期9月月考数学试题
名校
解题方法
2 . 已知椭圆
的左、右焦点分别是
,且离心率为
,点
为椭圆下上动点,
面积的最大值为
.
(1)求椭圆
的标准方程;
(2)若
是椭圆
的上顶点,直线
交椭圆
于点
,过点
的直线
(直线
的斜率不为1)与椭圆
交于
两点,点
在点
的上方.若
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31b91216d5295c6435afdc896370302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f9a699aededce0ad803bf8257fbbcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b67528f875a6d4bac8bbf784f7b66a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b1b15a4605fce993cb13aefbf40360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc187fa91acc4208dadf9d5c8900b591.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2020-12-03更新
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1199次组卷
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8卷引用:黄金卷06-【赢在高考·黄金20卷】备战2021年高考数学全真模拟卷(山东高考专用)
(已下线)黄金卷06-【赢在高考·黄金20卷】备战2021年高考数学全真模拟卷(山东高考专用)黑龙江省鹤岗一中2021届高三(上)期中数学(理科)试题河北省沧州市七校联盟2020-2021学年高二上学期期中数学试题湖南省部分重点高中2020-2021学年高二上学期期中联考数学试题(已下线)必刷卷02-2021年高考数学考前信息必刷卷(江苏专用)河南省新乡市2021届高三第一次模拟考试数学(文)试题广西百色市2020-2021学年高二上学期期末数学(理)试题2023版 湘教版(2019) 选修第一册 过关斩将 第3章 专题强化练10 直线与圆锥曲线的位置关系
3 . 已知椭圆
离心率为
,椭圆M与y轴交于A,B两点(A在下方),且
过点
直线l与椭圆M交于C,D两点(不与A重合).
(Ⅰ)求椭圆M的方程;
(Ⅱ)证明:直线
的斜率与直线
的斜率乘积为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cf6cca367ce2afd96d7d951f9587e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee14db57f0c762aad845cf5b4a243c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78dc1c1ee60be772884f9d69804f56da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dbbb76c7a42b124d474b652abdbadde.png)
(Ⅰ)求椭圆M的方程;
(Ⅱ)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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2020-09-04更新
|
1812次组卷
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6卷引用:重难点5 解析几何-2021年高考数学【热点·重点·难点】专练(山东专用)
(已下线)重难点5 解析几何-2021年高考数学【热点·重点·难点】专练(山东专用)湖北省黄石市第一中学2019-2020学年高二下学期期末数学试题北京市昌平区2020届高三第二次统一练习(二模)数学试题(已下线)【新教材精创】2.8+直线与圆锥曲线的位置关系(2)-A基础练-人教B版高中数学选择性必修第一册广东省雷州市第二中学2020-2021学年高二上学期期中数学试题北京市中关村中学2022届高三下学期开学测试数学试题
4 . 已知定点
,
,动点P为平面上一个动点,且直线SP,TP的斜率之积为
.
(1)求动点P的轨迹E的方程;
(2)设点B为轨迹E与y轴正半轴的交点,是否存在斜率为
直线l,使得l交轨迹E于M,N两点,且
恰是
的重心?若存在,求l的方程;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef95812fa161e23cdf10fe5cd2bfa0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a63f7b42555f7f81bcb18b9247bf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78fd95f89dec2d373fa57f02acd739f.png)
(1)求动点P的轨迹E的方程;
(2)设点B为轨迹E与y轴正半轴的交点,是否存在斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3beec1e859b3f55162309a6789c3e7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d0469336f71edd52dc9148c67db052.png)
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2020-06-01更新
|
250次组卷
|
3卷引用:数学-6月大数据精选模拟卷01(山东卷)(满分冲刺篇)
2020高三·山东·专题练习
5 . 直角坐标系
中,
,
分别为椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.png)
的左右焦点,
为椭圆的右顶点,点
为椭圆
上的动点(点
与
的左右顶点不重合),当
为等边三角形时,
.
![](https://img.xkw.com/dksih/QBM/2020/4/19/2444901964046336/2445336038473728/STEM/73a0af69-0dc9-4c30-a1e9-8917ebd88b47.png)
(1)求椭圆
的方程;
(2)如图,
为
的中点,直线
交直线
于点
,过点
作
交直线
于点
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.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/d7d72a07a4e5acfc140a3cea1f26b951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f82eb4ba631d0f50d848aa6e576b379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45a0d30899c67eb5dce46dba9f3f1193.png)
![](https://img.xkw.com/dksih/QBM/2020/4/19/2444901964046336/2445336038473728/STEM/73a0af69-0dc9-4c30-a1e9-8917ebd88b47.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4cfef623a9534b5708df5f95f1760a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a089c207e39a24d0d82aa853ac2bbb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ea46c2facc265bdf27a7b5603d5051.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a089c207e39a24d0d82aa853ac2bbb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a81c0776206ad331f0dea2bdd924e2e.png)
您最近一年使用:0次
名校
解题方法
6 . 已知
分别为椭圆
的左、右焦点,
为该椭圆的一条垂直于
轴的动弦,直线
与
轴交于点
,直线
与直线
的交点为
.
(1)证明:点
恒在椭圆
上.
(2)设直线
与椭圆
只有一个公共点
,直线
与直线
相交于点
,在平面内是否存在定点
,使得
恒成立?若存在,求出该点坐标;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac0194657c8bebd4a546cc4397090342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183b6a0cef4256c9696a5bca31053da5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)证明:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a8b5b7ae8b20d658d9f7e843aba7a4.png)
您最近一年使用:0次
2020-02-18更新
|
1332次组卷
|
10卷引用:第8篇——平面解析几何-新高考山东专题汇编