题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013834-83629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013834-42030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013835-87811.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013835-88926.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013835-92227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013835-22392.png)
(1)求椭圆的标准方程;
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013835-92227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013835-88926.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013835-91242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013836-57614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013836-93633.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013836-38338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013836-21309.png)
解析
试题分析:(1)由题意可得圆的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013837-54099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013837-57817.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013837-64831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013837-13802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013837-42802.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013838-28169.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013838-61997.png)
所以椭圆方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013836-38338.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013838-64675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013838-42342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013839-34999.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013839-64809.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013839-50730.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013839-61479.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013840-11926.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013840-92998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013836-21309.png)
点评:熟记椭圆中
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013840-69343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013840-69343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013840-69343.png)
核心考点
试题【(本小题14分)已知椭圆的离心率为,以原点为圆心,椭圆短半轴长为半径的圆与直线相切,分别是椭圆的左右两个顶点,为椭圆上的动点.(1)求椭圆的标准方程;(2)若与】;主要考察你对曲线与方程的应用等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013828-52946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013828-52279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013828-72927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013829-70623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013828-72927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013829-70623.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013821-77287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013821-57554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013821-69533.png)
(ⅰ)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013822-91528.png)
(ⅱ)若AB中点横坐标为2,求AB的长度及
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013821-77287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013814-95336.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013814-95552.png)
(Ⅰ)求椭圆的离心率;
(Ⅱ)若平行四边形OCED的面积为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013814-35477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013808-78916.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013805-25065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026013805-20826.png)
A.4 | B.6 | C.8 | D.12 |
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