名校
1 . 设椭圆C:
的左顶点为A,上顶点为B,已知直线AB的斜率为
,
.
(1)求椭圆C的方程;
(2)设直线
与椭圆C交于不同的两点M、N,且点O在以MN为直径的圆外(其中O为坐标原点),求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd3287fe7ab879d8756115a5d4d22d8f.png)
(1)求椭圆C的方程;
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b44c7d3a8499af18da17231d6b898274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2019-01-29更新
|
1633次组卷
|
7卷引用:【市级联考】河北省衡水市2019届高三下学期第三次质量检测数学(文)试题
【市级联考】河北省衡水市2019届高三下学期第三次质量检测数学(文)试题【市级联考】山西省吕梁市2019届高三上学期第一次模拟考试数学(文)试题2019届河北省衡水中学高三年级第三次质检考试数学文科试题(已下线)专题03 直线与椭圆相结合问题(第五篇)-备战2020年高考数学大题精做之解答题题型全覆盖(已下线)专题08 解析几何中的最值范围问题(第五篇)-备战2020年高考数学大题精做之解答题题型全覆盖江苏省徐州市邳州市官湖中学2021-2022学年高二上学期第一次月考数学试题江苏省徐州市王杰中学2022-2023学年高二上学期10月阶段性测试数学试题
名校
2 . 已知
,
是椭圆
的左、右焦点,椭圆
过点
.
(1)求椭圆
的方程;
(2)过点
的直线
(不过坐标原点)与椭圆
交于
,
两点,且点
在
轴上方,点
在
轴下方,若
,求直线
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9d55173f26afdf0e37462b556a605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d6f746c2355072d914591bf60c3801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4ab7357e0568bbb19290a287c2a6e45.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9dc1bdb5351e603df56ce4dcd28209a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2019-01-08更新
|
888次组卷
|
4卷引用:河北省唐山市第一中学2019届高三下学期冲刺(三)数学(文)试题
河北省唐山市第一中学2019届高三下学期冲刺(三)数学(文)试题【校级联考】山东省实验中学等四校2019届高三联合考试数学文科试题【校级联考】贵州省贵阳第一中学、云南师大附中、广西南宁三中2019届高三“3 3 3”高考备考诊断联考数学(文)试题(已下线)秒杀题型08 圆锥曲线中的焦点弦-2020年高考数学试题调研之秒杀圆锥曲线压轴题
名校
3 . 如图所示,
是椭圆
的短轴端点,点
在椭圆上运动,且点
不与
重合,点
满足
,则
=____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c383dfdb3965fea09c77b9cd0c23ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6430a45ccf721969ae5cc03dbb12d6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8f1796428c2600bbbdff746b0311583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8f1796428c2600bbbdff746b0311583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c383dfdb3965fea09c77b9cd0c23ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8346ced59eb87a592fca47a82a146912.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5dc42c32276c48e6a32d3c83ce7323d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43cdc7f95da33fa1154115cd8744589.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/8194de57-81c8-4275-a2f9-3e9d38134253.png?resizew=186)
您最近一年使用:0次
2019-01-03更新
|
375次组卷
|
2卷引用:【全国百强校】河北省武邑中学、景县中学2019届高三上学期联考数学(文)试题
名校
4 . 已知椭圆
的离心率为
,直线
与椭圆有且只有一个交点
.
(1)求椭圆
的方程和点
的坐标;
(2)设
为坐标原点,与
平行的直线
与椭圆
交于不同的两点
,直线
与直线
交于点
,试判断
是否为定值,若是请求出定值,若不是请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b33913f223c4ba0f610e92cca48652c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be99fa94a1f3e4964fcc13a14fab9ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2da6ef88591589f330304297d3abfcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb398137779190b35492d9f06d5fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2da6ef88591589f330304297d3abfcb.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/9eeb95d974e8b932b4df1313b9c18f11.png)
您最近一年使用:0次
2018-12-03更新
|
1620次组卷
|
8卷引用:2019年河北省衡水市高三二模数学(理)试题
名校
解题方法
5 . 椭圆
的左、右焦点为
,离心率为
,已知过
轴上一点
作一条直线
:
,交椭圆于
两点,且
的周长最大值为8.
(1)求椭圆方程;
(2)以点
为圆心,半径为
的圆的方程为
.过
的中点
作圆的切线
,
为切点,连接
,证明:当
取最大值时,点
在短轴上(不包括短轴端点及原点).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82d3175ab92b729dfd24f209e448e600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3293a7ffa4cf4ea6662a56293b853e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c07ebcbfacda073208d483c58e8a84.png)
(1)求椭圆方程;
(2)以点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e9f7d1272b7344346b58b660aa260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad277108e9e44b1f8de58db77183da30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dafebaaf13781120dc57c277d0267c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33dfe8dee77774d91379be2f9cde829a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
名校
6 . 已知椭圆
的上顶点为点
,右焦点为
.延长
交椭圆
于点
,且满足
.
(1)试求椭圆
的标准方程;
(2)过点
作与
轴不重合的直线
和椭圆
交于
两点,设椭圆
的左顶点为点
,且直线
分别与直线
交于
两点,记直线
的斜率分别为
,则
与
之积是否为定值?若是,求出该定值;若不是,试说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27e62a44b8712ce4483b8710cda0dc1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c287ebedc0a13723a13748b4745343.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c84b524087cf2d47ba827365f0a87c7.png)
(1)试求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d32dc51f1bcb08c07702dea04a7b89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367bc8c9962e3146d35df816dae27d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
您最近一年使用:0次
2018-05-01更新
|
993次组卷
|
2卷引用:【衡水金卷】河北省衡水中学2018届高三毕业班模拟演练一理科数学试题
7 . 如图所示,在平面直角坐标系
中,椭圆
的中心在原点,点
在椭圆
上,且离心率为
.
(1)求椭圆
的标准方程;
(2)动直线
交椭圆
于
,
两点,
是椭圆
上一点,直线
的斜率为
,且
,
是线段
上一点,圆
的半径为
,且
,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59a7a78a0cb55d2396f7213432a86b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9748af80ebfc2e8162d93fd7be09f092.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a350d44bf2b7ddfbfe23c754efa9c8d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3feb51b55f54b7160f9c218b8d3b17c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981f1ebc418a7d8536594fc62baa0074.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/24/8c6dae52-e08f-47f5-8b35-3d77285707d9.png?resizew=189)
您最近一年使用:0次
名校
解题方法
8 . 已知椭圆
:
过点
和点
.
(1)求椭圆
的方程;
(2)设直线
与椭圆
相交于不同的两点
,
,记线段
的中点为
,是否存在实数
,使得
?若存在,求出实数
;若不存在,请说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f03a4b33ce54468dee4b89f2ba25ddf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4bc333cee094e9dd8f1f3ff86adc95f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54479885d4ab2f717d2e97718da04b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.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/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3fc5c077cff3ef54fc01f8b41e34e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2018-04-04更新
|
1783次组卷
|
9卷引用:【全国百强校】河北省衡水中学2019届高三上学期七调考试数学(文)试题
(已下线)【全国百强校】河北省衡水中学2019届高三上学期七调考试数学(文)试题【市级联考】四川省峨眉山市2019届高三高考适应性考试数学(理)试题【市级联考】四川省峨眉山市2019届高三高考适应性考试数学文科试题河北省武邑中学2019-2020学年高二上学期期中考试数学试题2020届四川省成都市金堂中学高三一诊模拟数学文科试题北京市清华附中2017-2018学年高三数学十月月考试题(文)四川省南充市阆中中学2018-2019学年高二6月月考数学(理)试题(已下线)强化卷04(3月)-冲刺2020高考数学之拿高分题目强化卷(山东专版)(已下线)专题05 平面解析几何-2020年高三数学(文)3-4月模拟试题汇编
解题方法
9 . 在平面直角坐标系
中,椭圆
的离心率为
,且点
在椭圆
上.
(1)求椭圆
的方程;
(2)设
为椭圆上第一象限内的点,点
关于原点
的对称点为
,点
关于
轴的对称点为
,设
,直线
与椭圆
的另一个交点为
,若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](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/8d59419fff2c12efda787ef2c195af18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa85577e3122e551d06c52bf6d7743ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83640592853a53872d7af69c0cffc1bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/22/441e27c9-bd07-407d-a19c-3059d871674d.png?resizew=186)
您最近一年使用:0次
名校
10 . 已知椭圆
:
的左、右焦点分别为点
,
,其离心率为
,短轴长为
.
(Ⅰ)求椭圆
的标准方程;
(Ⅱ)过点
的直线
与椭圆
交于
,
两点,过点
的直线
与椭圆
交于
,
两点,且
,证明:四边形
不可能是菱形.
![](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/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/38387ba1cadfd3dfc4dea4ca9f613cea.png)
(Ⅰ)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.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/a3fb78c5f885034612c0e030b920143d.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1095c036b49c3327baaa2c3c7f746134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
您最近一年使用:0次
2017-10-03更新
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2305次组卷
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5卷引用:衡水金卷2018届全国高三大联考理科数学试题