题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134556-19778.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134557-14743.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134557-54193.png)
(1)求椭圆C的方程;
(2)过右焦点F2作直线l 与椭圆C交于A,B两点,设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134557-10621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134557-67857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134558-16627.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134558-38291.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134558-51833.png)
解析
试题分析:(1)由题设知
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134558-23428.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134559-24602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134559-10939.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134558-38291.png)
(2)因为当直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134559-30701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134559-26068.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134559-30701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134600-76505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134559-30701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134600-93957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134600-41889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134557-10621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134600-98589.png)
通过方程组
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134601-89961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134601-48207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134600-98589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134601-78654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134600-76505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134557-67857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134600-76505.png)
另一方面,因为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134601-82110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134602-20318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134600-76505.png)
试题解析:
解:(1)由题意知:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134602-86528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134602-87682.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134602-16197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134603-16640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134603-48127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134558-38291.png)
(2)由题意得直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134559-30701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134603-48093.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134559-30701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134600-93957.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134601-89961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134603-13080.png)
由题意
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134604-19203.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134600-41889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134601-48207.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134557-10621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134600-98589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134604-11442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134604-22859.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134604-23946.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134605-55636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134605-23480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134605-81804.png)
可得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134605-62263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134606-51772.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134606-33638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134606-75692.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134606-66374.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134607-34577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134607-96393.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134607-82443.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134558-51833.png)
核心考点
试题【已知椭圆C: (a>b>0)的离心率为,且椭圆C上一点与两个焦点F1,F2构成的三角形的周长为2+2.(1)求椭圆C的方程;(2)过右焦点F2作直线】;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/20191023/20191023134537-36003.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134537-22450.png)
(2)已知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134537-60367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134537-22450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134537-31473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134538-20439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134538-88330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134538-10998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134538-22433.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134538-33145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134539-32716.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134531-65777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134531-51316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134531-70216.png)
A.![]() | B.1或![]() | C.1或![]() | D.1 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134522-58630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134522-32584.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134522-27643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134523-70706.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134523-62569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134523-62830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134522-32584.png)
A.圆 | B.椭圆 | C.抛物线 | D.双曲线 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134513-38910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134513-54754.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134514-18483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134513-54754.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134514-53859.png)
A.10 | B.6 | C.12 | D.14 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023134506-49530.png)
A.![]() | B.![]() | C.±![]() | D.±![]() |
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