题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131459-46444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131500-16117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131500-55014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131500-39596.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131500-44906.png)
(1)若直线MN的斜率为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131500-68830.png)
(2)若直线MN在y轴上的截距为2,且
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131500-76375.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131500-86905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131501-95515.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131501-73330.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131500-39596.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131500-39596.png)
试题解析:(1)由题意知,
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131501-73322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131501-12619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131501-74949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131501-28736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131502-81257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131502-65949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131500-86905.png)
(2)由题意,原点O为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131502-60584.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131500-39596.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131500-44906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131500-44906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131502-20576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131502-53009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131500-76375.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131502-39662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131503-29497.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131503-49517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131503-51010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131503-14553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131503-37224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131502-53009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131503-76354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131503-37224.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131504-73181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131501-95515.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131501-73330.png)
【易错点】对第(1)问,较容易,大部分同学都能计算出;对第(2)问,一部分同学考虑不到中位线,
容易联立方程组求解而走弯路,并且容易出现计算失误.
核心考点
试题【设,分别是椭圆的左右焦点,M是C上一点且与x轴垂直,直线与C的另一个交点为N.(1)若直线MN的斜率为,求C的离心率;(2)若直线MN在y轴上的截距为2,且,求】;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/20191023/20191023131442-51290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131442-73905.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131442-72018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131442-98533.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131442-45114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131443-73320.png)
(1)求椭圆的离心率;
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131443-59934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131443-70676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131443-37246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131443-44893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131444-15348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131444-15348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131425-81191.png)
(1)求椭圆C的离心率;
(2)设O为原点,若点A在直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131426-30558.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131426-42897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131355-41197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131355-92822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131356-48159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131356-58862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131356-59470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131356-22889.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131357-52028.png)
(2)是否存在直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131357-77018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131357-77018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131356-59470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131357-31751.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131356-22889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131357-56880.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131358-22424.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131341-40877.png)
(1)求点P的坐标;
(2)焦点在x轴上的椭圆C过点P,且与直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131341-55585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131341-34715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131342-83425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131327-70850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131327-41264.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131328-41007.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131328-49996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131328-88277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131328-19525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131328-80983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131328-49996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131329-71995.png)
(1)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131329-13985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131329-20228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131328-49996.png)
(2)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131329-13985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131329-22297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131330-95125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131330-16481.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023131330-99374.png)
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