题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014252-43990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014252-95041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014252-46239.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014252-57250.png)
解析
试题分析:当焦点在x轴上时,
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014252-40839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014252-97305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014253-61255.png)
当焦点在y轴上时,
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014253-12835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014253-81646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014253-24053.png)
综上知:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014252-46239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014252-57250.png)
点评:注意讨论椭圆的焦点在哪一坐标轴上。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014246-74656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014247-11868.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014247-16231.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014247-99809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014247-12662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014241-42512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014241-38132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014242-70106.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014242-18449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014242-88648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014242-93726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014243-49163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014243-49163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014235-60297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014235-14002.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014235-39733.png)
(1)已知椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014229-11990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014229-41963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014229-37708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014229-30578.png)
(2)已知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014230-81429.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014230-23251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014230-40993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014230-82569.png)
(3)若过双曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014230-81612.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014229-37708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014231-38571.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014231-40934.png)
(4)已知⊙
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014231-58268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014231-36132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014219-71523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014219-11102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014219-19740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014219-64233.png)
(1)求椭圆C的标准方程;
(2)已知点E(3,0),设点P、Q是椭圆C上的两个动点,满足EP⊥EQ,
求
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014220-99624.png)
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