题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193508-17796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193508-34150.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193508-41977.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193508-49234.gif)
(Ⅰ)求椭圆E的方程;
(Ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193508-40435.gif)
(Ⅲ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193509-68014.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193509-88599.gif)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193509-85431.gif)
(Ⅲ)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193509-68014.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193510-70064.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193510-62037.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193510-80814.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193510-72558.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193509-88599.gif)
(2)由题意知,直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193508-41977.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193510-49668.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193511-33672.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193511-63762.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193511-86354.gif)
根据题意,
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193511-11620.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193512-77279.gif)
同理得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193512-44821.gif)
(Ⅲ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193512-18405.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193513-85556.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193513-31717.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193513-18677.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193513-16018.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193513-34858.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193514-27446.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193514-32467.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193509-68014.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193510-70064.gif)
核心考点
试题【(本小题满分14分) 已知椭圆E的中心在坐标原点,焦点在x轴上,离心率为,且椭圆E上一点到两个焦点距离之和为4;是过点P(0,2)且互相垂直的两条直线,交E于A】;主要考察你对椭圆的定义与方程等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193503-82292.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193503-21995.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193504-39117.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193503-82292.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193503-82292.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193504-51132.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193503-82292.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193445-26223.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193445-35914.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193445-20670.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193446-98109.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193446-32647.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193445-26223.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193445-20670.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193446-68469.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193446-84851.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193445-26223.gif)
(Ⅰ)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193446-84851.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193445-20670.gif)
(Ⅱ)如果椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193445-20670.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193447-17089.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193447-12145.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193447-80568.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193447-12145.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193448-23787.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193448-62139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193438-39396.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193438-29497.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193438-70195.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193438-79342.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193439-72086.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193439-32111.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193438-39396.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193439-11903.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193439-58198.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193440-97930.gif)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193438-39396.gif)
(2)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193440-45487.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193440-93209.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193440-27761.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193438-39396.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193441-12657.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193441-50027.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193441-12657.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193441-50027.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193440-27761.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193440-45487.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193432-17898.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193433-52195.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193433-49807.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193433-34865.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193433-42650.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193409-42931.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193409-40637.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193409-74139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193409-74102.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193409-55458.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193410-97726.gif)
(Ⅰ)求椭圆C的方程;
(Ⅱ)若在椭圆C上
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193410-39703.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023193410-62281.gif)
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