题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192435-29881.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192436-45372.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192436-74400.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192436-83178.gif)
(Ⅰ)当直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192436-12181.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192437-49584.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192436-12181.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192437-91802.gif)
(Ⅱ)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192436-12181.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192436-83178.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192437-59191.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192438-26056.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192438-25532.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192438-38063.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192438-36981.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192439-64622.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192439-36165.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192439-64790.jpg)
答案
(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192439-76688.gif)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192439-10618.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192440-87563.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192440-66175.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192440-72626.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192441-54480.jpg)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192441-86566.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192441-52600.gif)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192441-67704.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192441-89579.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192436-12181.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192439-76688.gif)
(Ⅱ)解:设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192442-95785.gif)
|
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192442-65853.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192442-87413.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192443-11884.gif)
则由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192443-31960.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192443-75016.gif)
且有
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192443-31766.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192443-67332.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192438-36981.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192444-49416.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192444-14944.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192444-69514.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192445-89000.gif)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192445-96746.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192439-64622.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192445-28705.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192445-15057.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192445-22279.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192446-56769.gif)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192446-42039.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192446-76902.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192446-82934.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192447-96829.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192447-53590.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192441-67704.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192447-83553.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192447-84393.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192439-36165.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192439-10618.gif)
核心考点
试题【(本题满分10分)已知m>1,直线,椭圆,分别为椭圆的左、右焦点. (Ⅰ)当直线过右焦点时,求直线的方程;(Ⅱ)设直线与椭圆交于两点,,的重心分别为.若原点在以】;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/20191023/20191023192431-19288.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192431-44342.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192431-26870.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192432-50766.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192432-30963.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192432-95533.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192432-89811.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192432-45979.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192433-56944.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192424-61942.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192425-77245.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192425-78284.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192425-82434.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192425-59979.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192426-72390.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192426-70076.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192426-70820.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192426-45014.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192426-97958.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192427-25690.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192426-72390.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192418-46877.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192418-35679.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192418-19203.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192418-16654.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192419-19934.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192419-95438.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192419-38238.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192419-36020.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192420-71304.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192420-71808.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192420-77397.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192420-76080.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192414-84038.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192415-31506.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192415-35871.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192415-83259.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192406-65203.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192406-99474.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192406-97023.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192407-79529.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192406-65203.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192407-81170.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192407-99172.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192407-80992.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192407-16903.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192407-22682.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192407-19470.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192407-17037.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192408-33701.gif)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192408-88239.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192407-17037.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192408-57271.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192408-78489.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192408-84031.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023192407-80992.gif)
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