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解题方法
1 . 已知点
,点
分别为椭圆
的左、右顶点,直线
交曲线
于点
是等腰直角三角形,且
.
(1)求
的方程:
(2)设过点
的动直线
与
相交于
,
两点.当以
为直径的圆过坐标原点
时,求直线
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c10f14aae6fb21e047ecb39cdf40c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/915b001438c9868298c66c7c2db35426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d3c677c7f7be02c5b75291b18b476a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2023-02-09更新
|
331次组卷
|
3卷引用:湖南省怀化市2022-2023学年高二上学期期末数学试题
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2 . 已知椭圆
的离心率为
,点
在椭圆D上.
(1)求椭圆D的标准方程;
(2)过y轴上一点E(0,t)且斜率为k的直线l与椭圆交于A,B两点,设直线OA,OB(O为坐标原点)的斜率分别为kOA,kOB,若对任意实数k,存在λ∈[2,4],使得kOA+kOB=λk,求实数t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b68df6f55e6ec3202f0a5bfb5b4400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f22961893bf928b16102914cb231c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efef3024a59f58f5dc42fc0f294481a4.png)
(1)求椭圆D的标准方程;
(2)过y轴上一点E(0,t)且斜率为k的直线l与椭圆交于A,B两点,设直线OA,OB(O为坐标原点)的斜率分别为kOA,kOB,若对任意实数k,存在λ∈[2,4],使得kOA+kOB=λk,求实数t的取值范围.
您最近一年使用:0次
2019-03-30更新
|
871次组卷
|
7卷引用:湖南省怀化市2019-2020学年高二上学期期末数学试题