题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012622-67618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012622-12155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012622-30789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012622-35358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012622-47640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012623-71396.png)
A.![]() | B.![]() | C.![]() | D.![]() |
答案
解析
试题分析:双曲线C的右焦点F(c,0),右准线l的方程为:x=
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012623-38569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012623-43796.png)
∴两交点坐标为 P(
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012623-38569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012624-37156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012623-38569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012624-37156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012624-28474.jpg)
设M为PQ与x轴的交点,∵△PFQ为等边三角形,则有|MF|=
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012624-66211.png)
∴c-
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012623-38569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012624-66211.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012624-37156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012624-37156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012624-42513.png)
解得 b=
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012624-54359.png)
∴e=2,故选C。
点评:典型题,利用数形结合思想,发现a,b,c,e的关系。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012608-37880.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012608-74817.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012608-24784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012608-95195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012608-80949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012609-96669.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012608-95195.png)
(Ⅱ)设不经过原点的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012609-88318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012608-95195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012609-56652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012609-80274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012609-25260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012609-69510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012609-88318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012606-91044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012606-58134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012606-61517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012606-58134.png)
A.椭圆 | B.双曲线 | C.抛物线 | D.线段 |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012600-92759.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012600-59710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012600-81028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012600-60879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012600-62294.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012600-45030.png)
( )
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012551-57400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012552-61362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012552-35752.png)
(Ⅰ)和直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012552-60066.png)
(Ⅱ)在
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012552-56283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012552-87319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012548-40943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026012548-40943.png)
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