题目
题型:不详难度:来源:
![](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)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014243-23369.png)
解析
试题分析:由题意,M在直线OA上,因为点M坐标为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014242-88648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014241-38132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014243-24519.png)
当A(2
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014243-24519.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014243-24519.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014242-88648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014243-30056.png)
当A(-2
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014243-24519.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014243-24519.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014242-88648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014243-10021.png)
故答案为:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014243-23369.png)
点评:本题主要考查了双曲线的综合问题,解题的关键是确定点A的坐标,属于中档题.
核心考点
举一反三
![](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)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014206-85533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014206-39622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014206-67413.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014206-12992.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014206-33157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014206-85533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014207-49937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014207-49937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014207-14026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014206-12992.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014207-13467.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014206-85533.png)
(Ⅱ)已知圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014206-39622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014207-84661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014208-78205.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014208-66264.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014206-85533.png)
运动时,直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014208-15895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014206-39622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014208-15895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014206-39622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014208-35136.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014200-86567.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014200-39939.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014200-65468.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014200-44689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014200-44689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014200-31422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014200-33626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014201-88533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026014200-65468.png)
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