题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211725-24803.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211726-53737.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211726-23412.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211726-62969.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211726-71957.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211726-72537.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211726-86969.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211726-75108.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211727-89809.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211727-27504.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211727-57944.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211726-75108.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211727-49203.gif)
(Ⅰ)证明
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211728-80199.gif)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211728-50059.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211728-78723.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211728-56023.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211727-89809.gif)
(Ⅲ)确定
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211728-48902.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211729-92707.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211729-29314.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211729-48109.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211729-92707.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211729-90467.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211726-62969.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211726-71957.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211726-72537.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211729-90467.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211730-18229.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211730-33672.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211730-19065.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211730-65229.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211731-58357.gif)
所以点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211731-49136.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211731-44892.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211727-49203.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211731-54406.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211732-42823.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211728-80199.gif)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211728-50059.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211732-85937.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211732-69210.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211728-78723.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211728-56023.gif)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211732-86560.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211733-99350.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211729-29314.gif)
(Ⅲ)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211733-32179.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211733-58518.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211729-92707.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211733-71887.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211734-19148.gif)
设点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211727-57944.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211726-75108.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211734-33626.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211734-61697.gif)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211734-36653.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211735-81570.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211735-10900.gif)
即当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211729-48109.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211729-92707.gif)
核心考点
试题【已知椭圆的左、右焦点分别是,离心率为.直线与轴,轴分别交于点是直线与椭圆的一个公共点,是点关于直线的对称点.设.(Ⅰ)证明;(Ⅱ)若,的周长为,写出椭圆的方程;】;主要考察你对椭圆的定义与方程等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211715-88126.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211715-99027.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211715-48965.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211715-19053.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211715-52493.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211706-44436.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211706-39841.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211706-22981.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211706-86358.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211706-50411.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211659-29772.jpg)
证明|PA|+|PB|为常数,并写出点P的轨迹T的方程;
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211643-79532.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211643-71174.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211643-15217.gif)
(1)当椭圆的半焦距
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211644-63048.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211644-10765.gif)
(2)在(1)的条件下,求弦
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211644-67128.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211644-55172.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211629-37801.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211629-94348.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023211629-87395.gif)
求证:线段PQ的垂直平分线经过一个定点A;
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