题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214048-18500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214049-97652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214049-32565.png)
求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214049-71819.png)
已知
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214049-87708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214049-71819.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214050-83692.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214050-10336.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214050-11298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214050-73889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214051-14868.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214049-87708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214051-10707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214051-95196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214051-23667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214052-64865.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214051-10707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214052-49499.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214052-71269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214052-35114.png)
解析
试题分析:(1)由离心率
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214052-73041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214053-93872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214049-97652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214053-32913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214053-10637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214053-12550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214054-59272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214054-90640.png)
假设存在,设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214054-70473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214054-11158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214054-54040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214055-99203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214055-15534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214055-47778.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214055-76961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214056-24034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214056-45430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214056-99527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214056-85854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214057-33139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214057-83219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214057-86191.png)
(1)由题意得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214057-34438.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214058-57109.png)
所以,椭圆方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214052-71269.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214054-70473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214054-11158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214058-91060.png)
可得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214055-99203.png)
设定点
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214055-15534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214058-35145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214058-52306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214056-45430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214059-14727.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214056-85854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214059-90011.png)
进而求得
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214059-91805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214052-35114.png)
核心考点
试题【已知椭圆,过点且离心率为.求椭圆的方程;已知是椭圆的左右顶点,动点满足,连接角椭圆于点,在轴上是否存在异于点的定点,使得以为直径的圆经过直线和直线的交点,若存在】;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/20191025/20191025214037-61563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214037-37024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214037-30073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214037-66017.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214037-66017.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214038-52346.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214038-45073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214038-52346.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214037-66017.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214038-84402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214038-72554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214038-52346.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214038-68907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214038-52346.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214039-91067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214021-95200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214021-91440.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214022-18819.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214022-96420.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214021-95200.png)
(2)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214022-45873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214021-95200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214022-78168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214022-24244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214023-92685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214023-49052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214023-21626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025214023-49052.png)
A.1 | B.2 | C.e | D.![]() |
A.4 | B.8 | C.12 | D.16 |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213958-57373.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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