名校
解题方法
1 . 已知椭圆
过点
,且离心率为
.设
,
为椭圆
的左、右顶点,
为椭圆上异于
,
的一点,直线
,
分别与直线
相交于
,
两点,且直线
与椭圆
交于另一点
.
(1)求椭圆
的标准方程;
(2)求证:直线
与
的斜率之积为定值;
(3)判断三点
,
,
是否共线:并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/310f780f4f03699023b1322a1e002539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](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/495bb3e5a3a9d35f5c9f0cf1f5d51876.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/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
(3)判断三点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
您最近一年使用:0次
2022-10-11更新
|
1675次组卷
|
9卷引用:江苏省金陵中学集团南京市人民中学2021-2022学年高二上学期10月月考数学试题
2 . 已知椭圆
的上顶点为
,右焦点为
,原点
到直线
的距离为
的面积为1.
(1)求椭圆
的方程;
(2)过点
的直线
与
交于
两点,过点
作
轴于点
,过点
作
轴于点
与
交于点
.
①求证:点
在定直线上,
②求
的面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767a75d8d8add0ffa3db20e77797df31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b8452ffb321d5cf3887a129757b78e9.png)
(1)求椭圆
![](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/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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea91b1fb8690c09739e2981735f1919f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecde35e9255cb7922a86536b05f4a302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c217dadaca86779f03a2760377b6be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d8e33929752b1cb4dd36ee9b98b45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
①求证:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
您最近一年使用:0次
名校
解题方法
3 . 已知椭圆
的离心率为
,长轴的左端点为
.
(1)求C的方程;
(2)过椭圆C的右焦点的任一直线l与椭圆C分别相交于M,N两点,且AM,AN与直线
,分别相交于D,E两点,求证:以DE为直径的圆恒过x轴上定点,并求出定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd99c5000629d7f49499d666e68f40d.png)
(1)求C的方程;
(2)过椭圆C的右焦点的任一直线l与椭圆C分别相交于M,N两点,且AM,AN与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
您最近一年使用:0次
2023-04-06更新
|
1337次组卷
|
6卷引用:湖北省“荆、荆、襄、宜四地七校”考试联盟2023-2024学年高二下学期期中联考数学试卷变式题16-19
(已下线)湖北省“荆、荆、襄、宜四地七校”考试联盟2023-2024学年高二下学期期中联考数学试卷变式题16-19北京市门头沟区2023届高三综合练习(一)数学试题专题10平面解析几何(非选择题部分)江西省景德镇一中2022-2023学年高一(19班)下学期期中考试数学试题.北京卷专题23平面解析几何(解答题部分)北京市第八中学2023-2024学年高三下学期零模练习数学试题
名校
解题方法
4 . 已知椭圆
:
的右焦点为
,圆
:
,过
且垂直于
轴的直线被椭圆
和圆
所截得的弦长分别为
和
.
(1)求
的方程;
(2)过圆
上一点
(不在坐标轴上)作
的两条切线
,
,记
,
的斜率分别为
,
,直线
的斜率为
,证明:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4be819fc47b2aa19ab2022b3dfeb6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f83dbfddc6f98548699ed581e8c8608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.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/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf434334b09cc0fdd4e86e84e6ceb00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d156e9e306cda13eaaca0f69480353.png)
您最近一年使用:0次
2022-09-08更新
|
1767次组卷
|
6卷引用:第3章 圆锥曲线与方程 单元综合检测(重点)-2022-2023学年高二数学《基础·重点·难点 》全面题型高分突破(苏教版2019选择性必修第一册)
名校
解题方法
5 . 已知椭圆
经过点
,离心率为
.
(1)求椭圆
的标准方程;
(2)设椭圆
的左、右两个顶点分别为
,
为直线
上的动点,且
不在
轴上,直线
与
的另一个交点为
,直线
与
的另一个交点为
,
为椭圆
的左焦点,求证:
的周长为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cccd57b4890dea50ef4604043431d770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9c9187ab4738ea0fb7faad266b72610.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495bb3e5a3a9d35f5c9f0cf1f5d51876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e463e661d45282d927b7596d5ad3b1d.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/cd3896bb7e10246b3b8c33da4c500762.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecfb02e157819a2bdd0f2790cbc825e9.png)
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2021-12-08更新
|
2794次组卷
|
14卷引用:黑龙江省绥化市第九中学2021-2022学年高二下学期期末数学试题
黑龙江省绥化市第九中学2021-2022学年高二下学期期末数学试题湖北省部分省级示范高中2022-2023学年高二上学期期中联考数学试题(已下线)模块四 期中重组篇 专题3 期中重组卷(湖北)湖南省炎德英才2022届高三上学期12月联考数学试题重庆市南开中学2022届高三上学期12月月考数学试题湖南省名校联合体2021-2022学年高三上学期12月联考数学试题湖南师范大学附属中学2021-2022学年高三上学期12月联考数学试题湖北省鄂东南三校2022届高三下学期5月联考数学试题湖北省襄阳市第五中学2022届高三下学期适应性考试(二)数学试题江西省赣州市第三中学2022届高三适应性考试(二)数学(理)试题广东省佛山市南海区华南师范大学附属中学南海实验高级中学2023届高三模拟预测数学试题浙江省杭金湖四校2023-2024学年高三上学期第六次联考数学试题广东省惠州市龙门县高级中学2024届高三上学期10月月考数学试题山东省潍坊市第一中学2023-2024学年高一下学期清明后摸底考试(4月月考)数学试题
6 . 阿基米德(公元前287年-公元前212年,古希腊)不仅是著名的哲学家、物理学家,也是著名的数学家.他曾利用“逼近法”得到椭圆的面积等于圆周率
乘以椭圆的长半轴长与短半轴长的乘积在直角坐标系
中,椭圆
的面积为
,两焦点与短轴的一个顶点构成等边三角形,过点
且斜率不为0的直线
与椭圆
交于不同的两点A,B.
(1)求椭圆
的标准方程;
(2)求
面积的最大值;
(3)设椭圆E的左、右顶点分别为P,Q,直线PA与直线
交于点
,试问B,Q,F三点是否共线?若共线,请证明;若不共线,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd2f172ac16da76136cd2faa0fa26915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c9dcfd9f4c5298035870cb88a34169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
(3)设椭圆E的左、右顶点分别为P,Q,直线PA与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
您最近一年使用:0次
2021-08-08更新
|
1912次组卷
|
5卷引用:上海市虹口区2020-2021学年高二下学期期末数学试题
上海市虹口区2020-2021学年高二下学期期末数学试题(已下线)2.2 椭圆(提高练)-2021-2022学年高二数学同步训练精选新题汇编(人教A版选修2-1)(已下线)3.1.1 (整合练)椭圆及其标准方程-2021-2022学年高二数学考点同步解读与训练(人教A版2019选择性必修第一册)湖北省武汉市华中师大第一附中2023-2024学年高二上学期期末模拟数学试题(已下线)专题16 圆锥曲线焦点弦 微点2 圆锥曲线焦点弦三角形面积
名校
解题方法
7 . 已知椭圆
:
(
)的左、右焦点分别为
,
,离心率为
,点
是椭圆上一点,
的周长为
.
(1)求椭圆
的方程;
(2)直线
:
与椭圆
交于
,
两点,且四边形
为平行四边形,求证:
的面积为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.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/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5eb4f6a7cd67eb76bc9f8b353c4059d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac988c3805bb84dd0a10fde30be2538.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/15b256345d7109e081b7c895591e995d.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/9d897c89e28895e87b2eeab741351525.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d897c89e28895e87b2eeab741351525.png)
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2021-03-28更新
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2282次组卷
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5卷引用:黑龙江省哈尔滨德强学校2022-2023学年高二下学期3月月考数学试题A
8 . 如图,曲线
由两个椭圆
和椭圆
组成,当a、b、c成等比数列时,称曲线
为“猫眼曲线”,若猫眼曲线
过点
,且a、b、c的公比为
.
![](https://img.xkw.com/dksih/QBM/2020/12/29/2624460070461440/2627556471996416/STEM/36cb17ee-1f98-4495-8b03-483811e28c7d.png?resizew=322)
(1)求猫眼曲线
的方程;
(2)任作斜率为
且不过原点的直线与该曲线
相交,交椭圆
所得弦AB的中点为M,交椭圆
所得弦CD的中点为N,直线OM、直线ON的斜率分别为
、
,求证:
为与k无关的定值;
(3)设
、
为椭圆
上的两点,直线OP、直线
的斜率分别为
、
,且
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb7f0cd04b25e517333647b2580114ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f8ef77a389b15074e79e324baa70219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/461b96f2cb34e5d76e4b9f97568025c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://img.xkw.com/dksih/QBM/2020/12/29/2624460070461440/2627556471996416/STEM/36cb17ee-1f98-4495-8b03-483811e28c7d.png?resizew=322)
(1)求猫眼曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
(2)任作斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bcb166b53a49e393871bcb14a528792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80065003fe6677e9a6b4f0dfb9d1db0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4f28029c21c82a381a782e4b16fcbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af58317391aa288533c7feee92f52eb1.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8c774fedfa4c42cd3cb7c234da8baa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb7f0cd04b25e517333647b2580114ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0009063fe00277645aff1be6e32471.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/151e09f3a383d7811c619eef3a6398cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4202e13ac133ddf7aacdbbd70d23dae.png)
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名校
解题方法
9 . 已知焦点在
轴上的椭圆
:
,短轴长为
,椭圆左顶点到左焦点的距离为
.
的标准方程;
(2)如图,已知点
,点
是椭圆的右顶点,直线
与椭圆
交于不同的两点
,
两点都在
轴上方,且
.证明直线
过定点,并求出该定点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed449e1ff8a5b8d6eea956547799b554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)如图,已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22fd883faf4c810b80abd2cbe334c93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d08dbfd03288ff12e7365b0e6331a3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2021-03-22更新
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7066次组卷
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13卷引用:广东省佛山市南海区狮山高级中学2020-2021学年高二下学期阶段一数学试题
广东省佛山市南海区狮山高级中学2020-2021学年高二下学期阶段一数学试题四川省泸州老窖天府中学2022-2023学年高二下学期第一次质量检测文科数学试题四川省泸州老窖天府中学2022-2023学年高二下学期第一次质量检测理科数学试题湖南省益阳市南县立达中学2022-2023学年高二上学期第一次月考数学试题湖南省长沙市麓山国际共同体2023-2024学年高二上学期12月学情检测数学试卷广东省深圳市第二高级中学2022-2023学年高二下学期第五次段考数学试题黑龙江省大庆市2021届高三第一次教学质量检测(一模)数学(理)试题(已下线)解密18 椭圆(分层训练)-【高频考点解密】2021年高考数学(理)二轮复习讲义+分层训练(已下线)专题43 巧解圆锥曲线中的定点和定值问题-学会解题之高三数学万能解题模板【2022版】广东省惠州市实验中学2023届高三下学期3月月考数学试题云南省泸水市怒江新城新时代中学2023届高三上学期期末考试数学试题(已下线)第五篇 向量与几何 专题8 帕斯卡定理、布列安桑定理、笛沙格定理、彭塞列闭合定理 微点4 塞瓦定理、富瑞基尔定理黑龙江省大兴安岭地区呼玛县高级中学2022届高三上学期期末数学(理)试题
名校
10 . 在平面直角坐标系中,已知两点
,动点Q到点M的距离为4,线段
的垂直平分线交直线
于点K.设点K的轨迹为曲线C.
(1)求曲线C的方程;
(2)点
,A,B为曲线C上的动点,当
时,求证:直线
恒过一个定点,并求出该定点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab36745dd63d58b5216d0ba88d3af6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3171b3d11c6f4619e189677345357508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2dca049735b45fb9b2533c68605eddc.png)
(1)求曲线C的方程;
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37265a2c5a6db6e7571f16286aaed83e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83640592853a53872d7af69c0cffc1bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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