题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111522-23131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111522-98753.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111522-79901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111523-74151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111523-69675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111523-33110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111523-20051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111523-37289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111524-13835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111524-90025.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111523-20051.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111524-72461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111524-25343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111525-73236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111525-63096.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111525-46018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111525-64340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111525-90906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111526-99172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111526-84663.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111526-85364.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111526-21753.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111527-74882.png)
解析
试题分析:(1)由
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111524-13835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111524-90025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111523-20051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111526-85364.png)
(2)设过点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111527-95648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111527-17233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111527-39994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111528-56065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111528-20165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111527-17233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111527-39994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111528-81536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111528-68000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111529-81931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111525-90906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111526-99172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111526-21753.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111527-74882.png)
(1)由题意得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111529-66280.png)
所求椭圆C的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111526-85364.png)
(2)设过点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111527-95648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111527-17233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111527-39994.png)
设点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111528-56065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111528-20165.png)
将直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111527-17233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111527-39994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111528-81536.png)
整理得:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111529-81132.png)
因为点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111529-80685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111527-17233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111529-46181.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111530-55284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111530-50360.png)
直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111530-69292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111530-65335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111530-77649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111531-73127.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111531-55360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111531-50111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111531-88471.png)
所以点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111525-64340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111532-28597.png)
直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111525-90906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111532-13208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111532-34489.png)
将
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111532-82937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111533-94114.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111526-21753.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111527-74882.png)
核心考点
试题【已知为椭圆:的左、右焦点,过椭圆右焦点F2斜率为()的直线与椭圆相交于两点,的周长为8,且椭圆C与圆相切。(1)求椭圆的方程;(2)设为椭圆的右顶点,直线分别交】;主要考察你对直线方程的概念与直线的斜率等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111516-39600.png)
A.![]() | B.-![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111512-67495.png)
A.-1 | B.-3 | C.0 | D.2 |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111507-55060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111507-82843.png)
A.m>1,且n<1 | B.mn<0 |
C.m>0,且n<0 | D.m<0,且n<0 |
A.![]() |
B.![]() |
C.![]() ![]() |
D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022111455-49645.png)
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