1 . 已知椭圆
的两个焦点分别为
,
,离心率为
,过
的直线
与椭圆
交于
,
两点,且
的周长为8.
(1)求椭圆
的方程;
(2)若一条直线与椭圆
分别交于
,
两点,且
,试问点
到直线
的距离是否为定值,证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.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/f89eef3148f2d4d09379767b4af69132.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/c5db41a1f31d6baee7c69990811edb9f.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/5585a42c8f07ad90b94ace9db3d78994.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若一条直线与椭圆
![](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/3825ccc273ef9a672a606432d165b866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2020-11-14更新
|
641次组卷
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19卷引用:【全国百强校】广西南宁市第二中学2018-2019学年高二下学期期中考试数学(文)试题
【全国百强校】广西南宁市第二中学2018-2019学年高二下学期期中考试数学(文)试题内蒙古自治区北京八中乌兰察布分校2018-2019学年高二下学期期中考试数学(文)试题吉林省长春市德惠市九校2019-2020学年高二上学期期中数学(理)试题2020届广东省佛山市第一中学高三上学期期中数学(文)试题吉林省吉化第一高级中学校2019-2020学年高二上学期期中数学(理)试题湖北省石首市2019-2020学年高二下学期期中数学试题【全国百强校】河北省衡水市武邑中学2018-2019学年高二上学期第三次月考数学(文)试题【全国百强校】河北省武邑中学2018-2019学年高二上学期第三次月考数学(理)试题陕西省西安市西安中学2019-2020学年高三上学期10月月考数学(文)试题河北省承德市隆化县存瑞中学2019-2020学年高三上学期第二次质检数学(文)试题重庆市朝阳中学2019-2020学年高二上学期12月月考数学试题2020届黑龙江省双鸭山市第一中学高三上学期期末数学(文)试题河北省张家口市第一中学2018-2019学年高一衔接班下学期期末数学试题内蒙古包头市包钢四中2018-2019学年高二下学期4月月考数学(文)试题安徽省亳州市涡阳县育萃中学2020-2021学年高二上学期第二次月考数学试题陕西省咸阳市实验中学2020-2021学年高二上学期第四次月考数学(理)试题陕西省咸阳市武功县普集高中2021-2022学年高二上学期第三次月考理科数学试题(已下线)第03讲 复习课-圆锥曲线与方程-【寒假自学课】2022年高二数学寒假精品课(苏教版2019选择性必修第二册)四川省内江市威远中学2022-2023学年高二下学期第二次阶段性考试数学(文)试题
2 . 在平面直角坐标系xoy中,已知椭圆
的左顶点与上顶点的距离为
,且经过点
.
![](https://img.xkw.com/dksih/QBM/2020/11/12/2590928333660160/2591387842019328/STEM/7cd61f94-68ed-451d-8847-908bcd02c251.png?resizew=256)
(1)求椭圆C的方程.
(2)直线
与椭圆C相交于P、Q两点,M是PQ的中点.若椭圆上存在点N满足
,求证:△PQN的面积S为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f21c7162941d2b54ebafb1795599195.png)
![](https://img.xkw.com/dksih/QBM/2020/11/12/2590928333660160/2591387842019328/STEM/7cd61f94-68ed-451d-8847-908bcd02c251.png?resizew=256)
(1)求椭圆C的方程.
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee4f9a062e957b6e8004df097a44609.png)
您最近一年使用:0次
2020-11-12更新
|
631次组卷
|
3卷引用:江苏省南京市2020-2021学年高二上学期期中调研测试数学试题
名校
3 . 已知
,
是椭圆
的左、右焦点,圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cca892142a8e59416acd3d78aa5f8c69.png)
与椭圆有且仅有两个交点,点
在椭圆上.
(1)求椭圆的标准方程;
(2)过y正半轴上一点P的直线l与圆O相切,与椭圆C交于点A,B,若
,求直线l的方程.
![](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/cca892142a8e59416acd3d78aa5f8c69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea187e438b0cebc0caae1a03bd17e3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18430e4b562d2ae985c5d03138e46bc1.png)
(1)求椭圆的标准方程;
(2)过y正半轴上一点P的直线l与圆O相切,与椭圆C交于点A,B,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a40a655f1225fc50ff8c6247f5d97d.png)
您最近一年使用:0次
2020-11-05更新
|
1343次组卷
|
11卷引用:2020届江西省名师联盟高三入学调研考试数学(理)试题
2020届江西省名师联盟高三入学调研考试数学(理)试题2020届广西柳州高级中学高三2月线上月考数学(理)试题南昌市2020届高三数学(理科)零模试题(已下线)专题9.3 椭圆(精练)-2021年新高考数学一轮复习学与练河南省豫西名校2020-2021学年高二上学期第二次联考数学(文)试题湖北省新高考联考协作体2020-2021学年高二下学期期中联考数学试题浙江省衢州市常山县天马中学2020届高三上学期入学调研理科数学试题(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)(已下线)黄金卷13-【赢在高考·黄金20卷】备战2021高考数学全真模拟卷(新高考专用)湖北省荆门市钟祥市实验中学2020-2021学年高二下学期5月阶段检测(1)数学试题河南省豫西名校2022-2023学年高二上学期第二次联考数学(文)试题
解题方法
4 . 已知直线
与圆
相切,动点
到
与
两点的距离之和等于
、
两点到直线
的距离之和.
(1)求动点
的轨迹
的方程;
(2)过点
的直线
交轨迹
于不同两点
、
,交
轴于点
,已知
,
,试问
是否等于定值,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc12c55f2676aeb4f696f4a84e4d65b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dad483f961dc9d4c1516cf9f60138c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be92f0e0012a7696c78e3e00513edefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cd33e784ce7f5ce0ce07e027dbcc03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0d8a10a87644d8e9cf598835f50edb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32705e629d8b9187b53efeee6605af15.png)
您最近一年使用:0次
2020-10-28更新
|
1269次组卷
|
3卷引用:山东省青岛市青岛第九中学2020-2021学年高三上学期期中数学试题
山东省青岛市青岛第九中学2020-2021学年高三上学期期中数学试题湖北省六校2020-2021学年高三上学期10月联考数学试题(已下线)专题29 圆锥曲线求定值七种类型大题100题-【千题百练】2022年新高考数学高频考点+题型专项千题百练(新高考适用)
名校
5 . 已知椭圆
:
的右焦点为
,
,直线
:
.过点
作与坐标轴都不垂直的直线与椭圆
交于
,
两点,线段
的中点为
,
为坐标原点,且直线
与直线
交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/753899f1-b04a-499b-9d34-7475d5246bab.png?resizew=189)
(1)求椭圆
的标准方程:
(2)若
,求直线
的方程:
(3)是否存在实数
,使得
恒成立?若存在,求实数
的值:若不存在,请说明理由.
![](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/5c7b07ace87ed58fdc1f1bc78a04aeda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f923a732bf114da091d2dbad054ae67c.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/753899f1-b04a-499b-9d34-7475d5246bab.png?resizew=189)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84cc0a4210ee0f08f8f3aa7e31691b34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e874be4f8c02edf24130e0e97bf9b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2020-10-22更新
|
254次组卷
|
2卷引用:四川省成都市树德中学2020-2021学年高二上学期10月阶段性测数学文科试题
名校
6 . 已知椭圆C:
1(a>b>0)的一个顶点坐标为A(0,﹣1),离心率为
.
(1)求椭圆C的方程;
(2)若直线y=k(x﹣1)(k
0)与椭圆C交于不同的两点P,Q,线段PQ的中点为M,点B(1,0),求证:点M不在以AB为直径的圆上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bd4fd9bfd38c5361d55735bfe4bb2d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆C的方程;
(2)若直线y=k(x﹣1)(k
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411837b4b3078d05b43cb0439259a362.png)
您最近一年使用:0次
2020-10-19更新
|
385次组卷
|
6卷引用:北京市东城区2020届高三第二学期二模考试数学试题
北京市东城区2020届高三第二学期二模考试数学试题(已下线)专题20 圆锥曲线综合-2020年高考数学母题题源解密(北京专版)北京市第一七一中学2021-2022学年高二上学期数学期中调研试题(已下线)第46讲 范围、最值、定点、定值及探索性问题(练) — 2022年高考数学一轮复习讲练测(课标全国版)浙江省舟山中学2023-2024学年高二上学期第一次素养测评数学试题辽宁省铁岭市调兵山市第二高级中学2023-2024学年高二下学期期初考试数学试题
名校
解题方法
7 . 设椭圆
的左顶点为
、中心为
,若椭圆
过点
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/4f60088a-4964-4bbc-9d54-9150a56a1b56.png?resizew=162)
(1)求椭圆
的方程;
(2)若
的顶点
也在椭圆
上,试求
面积的最大值;
(3)过点
作两条斜率分别为
,
的直线交椭圆
于
,
两点,且
,求证:直线
恒过一个定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c6162828793e697cb1ad643b287c4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c52b2d124d1c3bd4f865e7b653ad5c4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b60904605063a129c9dcfaffb320e5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/4f60088a-4964-4bbc-9d54-9150a56a1b56.png?resizew=162)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9763846b1131e1e3e2d741ad95d5bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9763846b1131e1e3e2d741ad95d5bb0.png)
(3)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b728c0e69820cdcd839e67ffdb1014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
您最近一年使用:0次
2020-09-23更新
|
1459次组卷
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7卷引用:辽宁省大连市第八中学2020-2021学年高二上学期期中数学试题
名校
解题方法
8 . 已知椭圆
,直线
分别与
轴
轴交于
两点,与椭圆交于
两点.
(1)若
,求直线
的方程;
(2)若点
的坐标为
求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46ab26e2d950296e9edb81bb20bdcff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a1b9dbf8727582c9af678fb55d33d37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11426cd3324dc2ca52fa622dacd9cf0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2288f791efa574eec41d20430a83e9fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
您最近一年使用:0次
2020-09-21更新
|
645次组卷
|
7卷引用:【南昌新东方】江西省南昌十七中2020-2021学年高三上学期10月第一次月考数学(理)试题
(已下线)【南昌新东方】江西省南昌十七中2020-2021学年高三上学期10月第一次月考数学(理)试题吉林省长春市2021届高三质量监测理科数学一模试题吉林省长春市2021届高三质量监测文科数学一模试题(已下线)【南昌新东方】江西省南昌十七中2020-2021学年高二上学期10月文科数学试题13甘肃省酒泉市玉门市2021-2022学年高三上学期期中数学试题吉林省长春市普通高中2021届高三一模数学理科试题吉林省长春市普通高中2021届高三一模数学文科试题
解题方法
9 . 已知椭圆
的离心率为
,且椭圆
的右顶点到直线
的距离为3.
(1)求椭圆
的方程;
(2)过点
的直线
与椭圆
交于
,
两点,求
面积的最大值
为坐标原点).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc493a0ad349b89d41f9be3ae357d82.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bacfc149ede71417fa599c21b5a84cb8.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ed6bee57f4526320197d6a7474386f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd109d3cea698760b0d5edb65bd6f241.png)
您最近一年使用:0次
2020-09-12更新
|
869次组卷
|
14卷引用:山东省泰安市新泰市新泰中学2020-2021学年高二上学期期中数学试题
山东省泰安市新泰市新泰中学2020-2021学年高二上学期期中数学试题江西省大联考2020届高三6月数学试卷 (文科)试题辽宁省盘锦市辽河油田第三高级中学2020届高三下学期三模数学(文)试题甘肃省靖远县2020届高三下学期第四联考数学(文)试题甘肃省陇南市6月联考2020届高三数学试卷(理科)甘肃省靖远县2020届高三下学期第四联考数学(理)试题(已下线)专题19 圆锥曲线综合-2020年高考数学(理)母题题源解密(全国Ⅱ专版)(已下线)专题19 圆锥曲线综合-2020年高考数学(文)母题题源解密(全国Ⅱ专版)甘肃省白银市靖远县2020届高三高考数学(文科)第四次联考试题江西省2020届高三(6月份)高考数学(文科)模拟试题(已下线)专题21 圆锥曲线综合-2020年高考数学(文)母题题源解密(全国Ⅰ专版)(已下线)专题20 圆锥曲线综合-2020年高考数学(理)母题题源解密(全国Ⅰ专版)天津市实验中学滨海学校2021-2022学年高三上学期期中数学试题(已下线)专题2.3 椭圆(B卷提升篇)-2020-2021学年高二数学选择性必修第一册同步单元AB卷(新教材人教B版)
名校
解题方法
10 . 知椭圆
的焦点在
轴上,并且经过点
,离心率为
.
(1)求椭圆
的标准方程;
(2)动直线
与圆
相切于点
,与椭圆
相交于
,
两点,线段
的中点为
,求
面积的最大值,并求此时点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](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/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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2472125b18dc5f831b59c0acb0e488f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
2020-09-07更新
|
980次组卷
|
4卷引用:河北省衡水中学2021届高三数学第一次联合考试试题