题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140102-11877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140103-84937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140103-76141.png)
(1)求椭圆C的方程
(2)若过点M(2,0)的引斜率为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140103-68689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140103-72842.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140104-95860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140104-52100.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140104-68411.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140104-17667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140105-43780.png)
解析
试题分析:(1)由题意知
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140105-19989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140105-20759.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140105-53287.png)
试题解析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140104-17667.png)
(2)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140105-53287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140106-71587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140106-79873.png)
条件
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140104-52100.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140106-75916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140106-58496.png)
然后把
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140103-72842.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140107-59639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140107-35719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140107-85219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140107-93060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140103-68689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140108-64948.png)
然后代入椭圆,得到关系式
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140108-39876.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140108-54662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140108-96792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140105-43780.png)
核心考点
试题【已知椭圆C:()的短轴长为2,离心率为(1)求椭圆C的方程(2)若过点M(2,0)的引斜率为的直线与椭圆C相交于两点G、H,设P为椭圆C上一点,且满足(为坐标原】;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/20191023/20191023140050-60455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140050-95166.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140050-20544.png)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140050-22765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140050-19320.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140051-23007.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140051-86342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140038-64897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140038-48545.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140038-49040.png)
(1)求椭圆C的方程
(2)若过点M(2,0)的引斜率为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140039-84773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140039-10943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140039-75641.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140039-30330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140015-74802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140015-33031.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140016-17855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140015-74802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140016-14716.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140016-92212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140015-74802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140016-49213.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140016-49213.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140015-74802.png)
(2)已知
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140017-63751.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140015-74802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140017-31588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140017-78069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140017-70264.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140018-59921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140018-48926.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140005-29719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140005-83410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140005-95568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-21806.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140005-29719.png)
(2)若过原点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-91679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-51578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-13092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-91679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023140006-19506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135950-75040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135950-86425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135950-53071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135950-67761.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135951-18637.jpg)
(1)求椭圆C的方程和焦点坐标;
(2)作与AB平行的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135951-54738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135951-19037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023135951-54738.png)
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