题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161452-84663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161453-25354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161453-93735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161453-70296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161453-72918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161454-27982.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161454-83793.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161454-32963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161454-32963.png)
∵∠F1PF2=60°,∴
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161454-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161454-49504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161454-49504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161454-49504.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161454-49504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161454-49504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161454-83793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161454-49504.png)
核心考点
举一反三
已知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161438-58949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161439-89387.png)
(Ⅰ)若椭圆的离心率为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161439-42317.png)
(Ⅱ)若向量
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161439-75097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161439-66051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161440-44971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161434-13346.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161434-73177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161434-12598.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161422-92180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161422-79822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161422-34110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161422-96716.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161422-83828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161422-46123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161422-37120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161422-31355.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161422-92180.png)
(Ⅱ)若点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161423-38656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161422-92180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161422-34110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161422-96716.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161423-56399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161423-90813.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161423-17968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161423-35115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161423-54530.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161423-40052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161423-56384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161423-71151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161423-71151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161422-92180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161358-50174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161358-58527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161359-15506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161359-23778.jpg)
(Ⅰ)求椭圆的方程;
(Ⅱ)椭圆的左、右顶点分别为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161359-29732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161359-15739.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161359-64635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161359-57905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161359-64635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161358-50174.png)
连结
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161359-19719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161400-70997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161400-75479.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161400-21347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161400-55377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161400-50433.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161400-55377.png)
在平面直角坐标系内已知两点A(-1,0)、B(1,0),若将动点P(x,y)的横坐标保持不变,纵坐标扩大到原来的
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161347-16176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161347-16176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161347-58368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161347-94136.png)
(1)求动点P所在曲线C的方程;
(2)过点B作斜率为-
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161348-70174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161348-41556.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161348-55160.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161348-25352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023161348-88384.png)
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