题目
题型:不详难度:来源:
已知点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130008-24980.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130008-16403.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130008-37338.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130009-68549.gif)
(Ⅰ)求点P的轨迹方程;
(Ⅱ)过点C的直线m与点P的轨迹交于两点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130009-24704.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130009-80931.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130009-59551.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130010-54934.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130010-16096.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130010-85920.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130010-96932.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130011-74488.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130011-66359.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130011-96818.gif)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130011-44974.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130012-43184.gif)
平方整理得.
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130012-53675.gif)
(Ⅱ)由题意可知设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130010-85920.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130008-24980.gif)
设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130010-85920.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130012-76219.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130012-27515.gif)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130012-10172.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130010-85920.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130013-60522.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130013-32954.gif)
由韦达定理可得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130013-26261.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130013-67742.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130014-63889.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130014-27373.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130014-84276.gif)
故直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130014-17859.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130015-60133.gif)
解析
核心考点
试题【(本小题满分12分)已知点和直线,作垂足为Q,且(Ⅰ)求点P的轨迹方程;(Ⅱ)过点C的直线m与点P的轨迹交于两点点,若的面积为,求直线的方程.】;主要考察你对直线的倾斜角与斜率等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130003-73173.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022130004-64567.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125954-45405.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125954-56584.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125955-76641.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125955-57308.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125955-80908.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125955-34731.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125942-40700.gif)
上顶点为B,过F,B,C三点作
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125942-91529.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125942-37614.gif)
(1) 若椭圆的离心率
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125942-41610.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125942-91529.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125942-91529.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125942-68430.gif)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125900-93677.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125900-46396.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125900-41600.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125900-73506.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125901-71864.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125901-37767.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125901-93411.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125901-71864.gif)
(1) 若对任意
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125901-15166.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125901-46199.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125901-93411.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125901-52051.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125902-37450.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125902-14022.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125902-43674.gif)
(2) 若点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125902-96935.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125902-31456.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125901-93411.gif)
(3) 对(1)中点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125902-14022.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125902-43674.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125903-32742.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125903-69469.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125902-43674.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125903-71157.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125903-67389.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125904-37562.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125903-67389.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125850-62168.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125850-61538.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125850-10433.gif)
(1)求证:点M的纵坐标为定值,且直线PQ经过一定点;
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022125851-31938.gif)
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