题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174036-61892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174037-70523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174037-54611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174037-42768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174037-50084.png)
答案
解析
解:由题意得:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174038-86472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174038-36027.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174038-90867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174038-96008.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174038-23927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174039-39621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174037-42768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174039-33247.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174039-70668.png)
因为点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174037-54611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174039-63684.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174039-90010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174040-20059.png)
所以点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174037-50084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174040-82970.png)
核心考点
举一反三
已知椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174027-57064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174027-92123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174027-31072.png)
(1)求椭圆C的方程;
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174028-63870.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174028-32977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174028-80267.png)
于另一点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174028-17510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174028-54728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174027-92123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174029-12569.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174027-92123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174029-12569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174028-80267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174029-40190.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174029-90010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174029-73027.png)
范围.
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174021-92938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174021-80161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174021-15735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174012-70448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174013-10889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174013-25736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174009-39799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023174000-34350.jpg)
(1)求该弦椭圆的方程;
(2)求弦AC中点的横坐标;
(3)设弦AC的垂直平分线的方程为y=kx+m,求m的取值范围.
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