题目
题型:不详难度:来源:
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165924-45310.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165925-96986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165925-63084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165925-18142.png)
解析
若焦点是(6,0)。顶点是(0,2)。则c=6,b=2,所以a=
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165925-88689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165926-76367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165926-97254.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165926-98864.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165914-88655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165914-66723.png)
条准线的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165914-69099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165914-27985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165914-67334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165915-78857.png)
且与椭圆交于
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165915-67575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165915-40270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165915-83278.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165915-76776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165914-67334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165855-38840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165856-39504.png)
(1)求椭圆C的方程;
(2)已知A、B为椭圆上的点,且直线AB垂直于
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165856-84357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165856-20033.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165856-84357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165856-84357.png)
于点M.
(ⅰ)求证:点M恒在椭圆C上;
(ⅱ)求△AMN面积的最大值.
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165856-45220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165851-22141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165851-17387.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165851-55013.png)
延长交椭圆于另外一点Q,则⊿
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165851-95886.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165837-72613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165838-50187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165838-63353.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165838-43431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165838-43431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165838-47029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165838-54140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165838-89282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165838-48070.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165838-63353.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165838-98715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165838-49774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165838-69016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165838-63353.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165839-21848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165839-94987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165838-47029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165826-28857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165826-80608.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165827-19682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165827-88853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165827-39375.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023165827-91146.png)
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