名校
1 .
为椭圆
:
的右焦点,直线
为其右准线,圆
:
,
、
为椭圆
上不同的两点,
中点为
.
(1)若直线
过
点,直线
交
于
点,判断直线
与
是否垂直?
(2)若直线
与圆
相切,求原点
到
中垂线的最大距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49137970108f50350a3211aa0281faaf.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)若直线
![](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/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360496a4f5cc8a5faca5e089ae4f9531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.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
名校
2 . 已知点M(x,y)满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7275d9ed412699ec29ac47d3a06c29a1.png)
(1)求点M的轨迹E的方程;
(2)设过点N(﹣1,0)的直线l与曲线E交于A,B两点,若△OAB的面积为
(O为坐标原点).求直线l的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7275d9ed412699ec29ac47d3a06c29a1.png)
(1)求点M的轨迹E的方程;
(2)设过点N(﹣1,0)的直线l与曲线E交于A,B两点,若△OAB的面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
您最近一年使用:0次
2019-10-14更新
|
837次组卷
|
3卷引用:云南省名校2019-2020学年高考适应性月考统一考试数学(文)试题
3 . 已知椭圆
的长轴长为4,且点
在椭圆上.
(1)求椭圆的方程;
(2)过椭圆右焦点斜率为
的直线
交椭圆于
两点,若
,求直线
的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef233ad3db01fa3ce9ee94eaad8e64e.png)
(1)求椭圆的方程;
(2)过椭圆右焦点斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1695034a4c212e5568fe41625fd2a417.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
4 . 已知椭圆
,直线
与以原点为圆心,以椭圆
的短半轴为半径的圆相切,
为其左右焦点,
为椭圆
上的任意一点,
的重心为
,内心为
,且
.已知
为椭圆
上的左顶点,直线
过右焦点
与椭圆
交于
两点,若
的斜率
,满足
,直线
的方程________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e0f7f6d4b14813f18aa16caca7dbd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.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/002ed1ebb2cb936e10ab478789f91c7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f43fbb7196ac9df20ede8ea83064b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.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/8d42cb68c5c877a455ba7ac0a6b6a651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c33c3b37aa383f2a8f60af894ae69c40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
2010·黑龙江哈尔滨·一模
解题方法
5 . 已知椭圆
(
)的离心率为
,且短轴长为2.
(1)求椭圆的方程;
(2)若与两坐标轴都不垂直的直线
与椭圆交于
两点,
为坐标原点,且
,
,求直线
的方程.
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601453056/STEM/3c8b85fd26374e26bb638c1d592a1766.png?resizew=76)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601453056/STEM/8e204d0d444d474eaf41dd5c6f126249.png?resizew=56)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601453056/STEM/91175f1cb18c401a87c43bbc37664eb4.png?resizew=27)
(1)求椭圆的方程;
(2)若与两坐标轴都不垂直的直线
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601453056/STEM/46ffa2e7d74449cbb12b2e73b35ad343.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601453056/STEM/6bc25f05e4954aaab842ab99f74b52dc.png?resizew=31)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601453056/STEM/6e7ff867506a43f89a4ad11358d54bec.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601453056/STEM/ac7884b56b5b4005ada7a4f42e793651.png?resizew=76)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601453056/STEM/d0d575c668724c9f8b87323a156ebcee.png?resizew=64)
![](https://img.xkw.com/dksih/QBM/2010/4/7/1576715455873024/1576715601453056/STEM/46ffa2e7d74449cbb12b2e73b35ad343.png?resizew=9)
您最近一年使用:0次