题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130320-33935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130320-83769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130321-83105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130321-17297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130321-94129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130322-57981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130322-33807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130322-12639.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130322-60766.png)
解析
试题分析:直接利用椭圆的定义,结合
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130322-57981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130322-33807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130322-12639.png)
试题解析:由椭圆的定义知,
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130323-51986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130323-37638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130323-29544.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130322-57981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130323-13652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130324-44757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130324-46108.png)
整理得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130324-11660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130325-75801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130325-57336.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130322-60766.png)
核心考点
举一反三
(1)求椭圆C的方程;
(2)点P是椭圆C上动点,PM⊥l,垂足为M.是否存在点P,使得△FPM为等腰三角形?若存在,求出点P的坐标;若不存在,请说明理由.
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130313-79458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130305-26301.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130256-69159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130256-25943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130256-46718.png)
(1)求椭圆G的方程;
(2)求四边形ABCD 的面积的最大值.
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130257-31098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130242-81929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130242-92899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130242-76694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130242-76694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130242-76694.png)
(1)求椭圆C的方程;
(2)若过点M(3,0)的直线与椭圆C相交TA,B两点,设P为椭圆上一点,且满足
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130243-47825.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130243-32279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130217-74848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130217-51561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130217-65695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130217-47695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130218-17406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130218-98193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130218-51086.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130218-92257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130219-75091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130219-33261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130219-29447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130219-15951.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130220-68355.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130217-47695.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130220-49785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130220-14954.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130219-29447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130220-78924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023130221-60191.png)
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