名校
解题方法
1 . 已知椭圆
:
的左、右焦点分别为
,
,点
是椭圆
的一个顶点,
是等腰直角三角形.
(1)求椭圆
的标准方程;
(2)过点
分别作直线
,
交椭圆于A,
两点,设两直线
,
的斜率分别为
,
,且
,证明:直线
过定点.
![](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/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ed90ebf0061c8a79beed307fc1719a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f9a699aededce0ad803bf8257fbbcb.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.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/c2b1bd378406bcd8156a56469f9300f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2022-08-12更新
|
2612次组卷
|
10卷引用:山西省山西大附属中学2023届高三上学期8月模块诊断数学试题
山西省山西大附属中学2023届高三上学期8月模块诊断数学试题2023版 北师大版(2019) 选修第一册 突围者 第二章 专项拓展训练3 与圆锥曲线有关的定值、定点、定直线问题湖北省襄阳市第五中学2022-2023学年高三上学期暑期返校数学试题辽宁省辽西联合校2022-2023学年高二上学期期中考试数学试题(已下线)专题32 一类与斜率和、差、商、积问题的探究-1(已下线)全册综合测试卷-提高篇-2022-2023学年高二数学举一反三系列(人教A版2019选择性必修第一册)(已下线)第25讲 圆锥曲线直线圆过定点问题-【同步题型讲义】2022-2023学年高二数学同步教学题型讲义(人教A版2019选择性必修第一册)甘肃省兰州市教育局第四片区2022-2023学年高二下学期联片办学期中考试数学试题广东湛江市2022-2023学年高二下学期期末数学试题广东省珠海市实验中学2024届高三上学期8月适应性考试数学试题
名校
解题方法
2 . 椭圆C:
的离心率为
,其左,右焦点分别为
,
,上顶点为B,且
.
(1)求椭圆C的方程;
(2)过点
作关于x轴对称的两条不同的直线
和
,
交椭圆于点
,
交椭圆于点
,且
,证明:直线MN过定点,并求出该定点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.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/9b8c45346d277a4cc59807c5263874db.png)
(1)求椭圆C的方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af74113f38fffeed8075e57d7f9d2533.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/8198c3b302b3820e86763428eb1e91cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3463ced6030af957f13f9ba05b977c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
您最近一年使用:0次
2022-07-02更新
|
875次组卷
|
3卷引用:河北省保定市七校2021-2022学年高一下学期7月联考数学试题
河北省保定市七校2021-2022学年高一下学期7月联考数学试题四川省成都市蓉城名校联盟2021-2022学年高二下学期期末联考文科数学试题(已下线)第25讲 圆锥曲线直线圆过定点问题-【同步题型讲义】2022-2023学年高二数学同步教学题型讲义(人教A版2019选择性必修第一册)
名校
3 . 如图,已知椭圆
:经过点
,离心率
.
![](https://img.xkw.com/dksih/QBM/2021/3/14/2677913573007360/2790324074610688/STEM/bdcb387c-2d17-4052-80c9-01c2f5615495.png?resizew=287)
(1)求椭圆
的标准方程;
(2)设
是经过右焦点
的任一弦(不经过点
),直线
与直线
:
相交于点
,记
,
,
的斜率分别为
,
,
,求证:
,
,
成等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480f004c98a0df86a35a48bc973f0472.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c7316976a221c051a2c14df80b1347.png)
![](https://img.xkw.com/dksih/QBM/2021/3/14/2677913573007360/2790324074610688/STEM/bdcb387c-2d17-4052-80c9-01c2f5615495.png?resizew=287)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.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/dbf434334b09cc0fdd4e86e84e6ceb00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf434334b09cc0fdd4e86e84e6ceb00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
您最近一年使用:0次
2021-08-20更新
|
820次组卷
|
5卷引用:江苏省泰州市泰兴市黄桥中学2020-2021学年高三上学期第三次月考数学试题
江苏省泰州市泰兴市黄桥中学2020-2021学年高三上学期第三次月考数学试题江西省赣州市定南中学2021-2022学年高二5月考数学(理)试题贵州省兴义市第八中学2024届高三上学期第三次月考数学考试题(已下线)第44讲 解析几何中的极点极线问题-2022年新高考数学二轮专题突破精练江西省安义中学等六校2021-2022学年高二上学期期末联考数学(理)试题
名校
解题方法
4 . 已知椭圆
离心率为
,短轴长为
,过
的直线
与椭圆C相切于第一象限的T点.
(1)求椭圆C的方程和T点坐标;
(2)设O为坐标原点,直线
平行于直线OT,与椭圆C交于不同两点A,B,且与直线l交于点P.证明:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323227dd8a7a31c078eac609b9acf472.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)求椭圆C的方程和T点坐标;
(2)设O为坐标原点,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab8a10bbffbec8dc743fb15b10d4525a.png)
您最近一年使用:0次
2022-01-29更新
|
929次组卷
|
3卷引用:北京市八一学校2023届高三上学期12月月考数学试题
名校
解题方法
5 . 已知圆
,椭圆
的左右焦点为
,过
且垂直于x轴的直线被椭圆和圆所截得弦长分别为1和
.
![](https://img.xkw.com/dksih/QBM/2021/2/22/2663757728129024/2665013383454720/STEM/6de2c1bc-46ff-444c-9897-f7b40f6e5064.png)
(1)求椭圆的标准方程;
(2)如图P为圆上任意一点,过P分别作椭圆两条切线切椭圆于A,B两点.
(ⅰ)若直线
的斜率为2,求直线
的斜率;
(ⅱ)作
于点Q,求证:
是定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f62686f6f9118291c444a8d5a4d0f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0bfa5840675e634a9f5e1f602775e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://img.xkw.com/dksih/QBM/2021/2/22/2663757728129024/2665013383454720/STEM/6de2c1bc-46ff-444c-9897-f7b40f6e5064.png)
(1)求椭圆的标准方程;
(2)如图P为圆上任意一点,过P分别作椭圆两条切线切椭圆于A,B两点.
(ⅰ)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
(ⅱ)作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84733f9dc908ceb11459cc2aed580ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f72b896492d4821b2da7f933a05dff.png)
您最近一年使用:0次
2021-02-24更新
|
2680次组卷
|
7卷引用:安徽省六校教育研究会2021届高三下学期2月第二次联考理科数学试题
安徽省六校教育研究会2021届高三下学期2月第二次联考理科数学试题黑龙江省哈尔滨师范大学附属中学2021届高三第四次模拟考试理科数学试题(已下线)专题1.11 圆锥曲线-定点、定值、定直线问题-2021年高考数学解答题挑战满分专项训练(新高考地区专用)东北三省三校(哈师大附中)2021届高三四模数学(理)试题福建省泉州第五中学2020-2021学年高二下学期入学考试数学试题(已下线)专题2 蒙日圆 微点3蒙日圆综合训练(已下线)第五篇 向量与几何 专题1 蒙日圆与阿氏圆 微点3 蒙日圆综合训练
名校
解题方法
6 . 已知椭圆C:
(
)的两个顶点分别为点
,
,离心率为
.
(1)求椭圆C的方程;
(2)点D为x轴上一点,过D作x轴的垂线交椭圆C于不同的两点M,N,过D作
的垂线交
于点E.证明:
与
的面积之比为定值.
![](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/913f78382630e50543e5f7192cae3ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c850811ba59a05e945a665196539a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆C的方程;
(2)点D为x轴上一点,过D作x轴的垂线交椭圆C于不同的两点M,N,过D作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15514bc735fe4b744672edefe00009c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9830cb9f3785e2b262b99bf831ced636.png)
您最近一年使用:0次
2021-01-13更新
|
1056次组卷
|
6卷引用:广西蒙山县蒙山中学2020-2021学年高二下学期第一次月考数学(文)试题
广西蒙山县蒙山中学2020-2021学年高二下学期第一次月考数学(文)试题天津市河北区2020-2021学年高三上学期期末数学试题(已下线)专题24 椭圆(解答题)-2021年高考数学(文)二轮复习热点题型精选精练(已下线)专题26 椭圆(解答题)-2021年高考数学(理)二轮复习热点题型精选精练(已下线)专题25 椭圆(解答题)-2021年高考数学二轮复习热点题型精选精练(新高考地区专用)(已下线)11.4 直线与圆锥曲线的位置关系
解题方法
7 . 已知椭圆
过点
,
分别为椭圆C的左、右焦点且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/4/bc8d2ac0-fbb5-4154-b55d-353165a57a56.png?resizew=229)
(1)求椭圆C的方程;
(2)过P点的直线
与椭圆C有且只有一个公共点,直线
平行于OP(O为原点),且与椭圆C交于两点A、B,与直线
交于点M(M介于A、B两点之间).
(i)当
面积最大时,求
的方程;
(ii)求证:
,并判断
,
的斜率是否可以按某种顺序构成等比数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f13bf66fc845b115de4ec45b4be0e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8989cd07bd3d5f89627c3acb24c0a462.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/4/bc8d2ac0-fbb5-4154-b55d-353165a57a56.png?resizew=229)
(1)求椭圆C的方程;
(2)过P点的直线
![](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/707ea658f3a9359f5740d5aab48f7948.png)
(i)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(ii)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb53c7cc8aac84b2ae3ef769bb46adb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790ef3382b1c731f2885eecfd92c2a86.png)
您最近一年使用:0次
2020-06-11更新
|
1703次组卷
|
7卷引用:山东省泰安市2020-2021学年高三上学期1月月考数学试题
山东省泰安市2020-2021学年高三上学期1月月考数学试题山东省潍坊市2020届高三模拟(二模)数学试题山东省平邑县第一中学2020届高三下学期第八次调研考试数学试题(已下线)数学-6月大数据精选模拟卷03(上海卷)(满分冲刺篇)(已下线)专题十 平面解析几何-山东省2020二模汇编(已下线)专题21 椭圆、双曲线、抛物线的几何性质的应用(讲)-2021年高三数学二轮复习讲练测(新高考版)(已下线)专题25 椭圆、双曲线、抛物线的几何性质的应用(讲)-2021年高三数学二轮复习讲练测(文理通用)
8 . 已知椭圆
,
是它的上顶点,点
各不相同且均在椭圆上.
(1)若
恰为椭圆长轴的两个端点,求
的面积;
(2)若
,求证:直线
过一定点;
(3)若
,
的外接圆半径为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b86ca1b7a031911aedefbea24fe7a4b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9195bc5917cc0dcef221f17561d1cdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b4d56a37c002c1a0307a7763a20605.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5296ad582dbea07ef722f1b9b01a2abe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839594b48d5ff3bf74ed9d5a2792b13a.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fba73132ba836e51d315bef6cdd6243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f6f078fc07cd742b8ecd6ae448bc7e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15526f7c892333030073b85fc3baee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9b76b20753e31796708f2eca9acb869.png)
您最近一年使用:0次
2019-11-14更新
|
448次组卷
|
3卷引用:上海市宜川中学2018-2019学年高三上学期12月月考数学试题
名校
解题方法
9 . 在平面直角坐标系
中,四个点
,
,
,
中有3个点在椭圆
:
上.
(1)求椭圆
的标准方程;
(2)过原点的直线与椭圆
交于
,
两点(
,
不是椭圆
的顶点),点
在椭圆
上,且
,直线
与
轴、
轴分别交于
、
两点,设直线
,
的斜率分别为
,
,证明:存在常数
使得
,并求出
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee70f80d9b2a8a39a2e70e281d48c91e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75ca4a8481029b98c0ffdd2cc5820ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ea20370e5f7f00779dc1b1821986c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe44fc04812c2b7b1f423b32697b5a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过原点的直线与椭圆
![](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/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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.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/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34bc0ee0a95fab04edf648026f14b9ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2020-02-10更新
|
398次组卷
|
4卷引用:四川省棠湖中学2019-2020学年高二下学期第一次在线月考数学(文)试题
名校
10 . 已知椭圆
上两个不同的点
、
关于直线
对称.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/bc1655c6-c3fe-4726-bbf8-bbff59ba01f4.png?resizew=207)
(1)若已知
,
为椭圆上动点,证明:
;
(2)求实数
的取值范围;
(3)求
面积的最大值(
为坐标原点).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/271e595c257e4c0ade90a9bbbf0e6b0d.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/b0cad1e0d712019c6bd59460dfdaa94c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/bc1655c6-c3fe-4726-bbf8-bbff59ba01f4.png?resizew=207)
(1)若已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdecdbcf310eecf9a369b549703981b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ba81f1a74bab4766faf309e35039ad1.png)
(2)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd2981bf2261343f905ec1b5355a3c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
您最近一年使用:0次
2019-11-07更新
|
869次组卷
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3卷引用:上海市南洋模范中学2019-2020学年高三上学期9月月考数学试题