题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031027-88925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031027-51582.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031027-79751.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031029-59077.png)
答案
解析
分析:设AF2=m,AF1=x,根据双曲线的基本性质及△ABF2是等腰三角形,用m分别表示出x,a,c,进而求得离心率
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031029-95191.png)
解:设AF2=m,AF1="x"
又AB=AF2,则BF1=m-x=2a,BF2=
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031029-81240.png)
BF2-BF1=2a,即
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031029-81240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031029-82016.png)
又 m-x=2a,解得 x=
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031029-25991.png)
在△AF1F2中,由勾股定理知,2c=
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031030-57551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031030-22908.png)
所以双曲线的离心率e=
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031029-95191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031030-85092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031028-84501.png)
故选B.
核心考点
试题【如题(9)图,过双曲线上左支一点作两条相互垂直的直线分别过两焦点,其中一条与双曲线交于点,若是等腰三角形,则双曲线的离心率为( )A.B.C.D.】;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/20191026/20191026031022-36979.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031022-96023.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031022-70792.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031022-70344.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031022-70792.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031023-94580.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031023-64620.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031023-64620.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031023-14458.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031023-27792.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031024-39291.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031024-72092.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031024-72092.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031024-25202.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031018-96108.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031018-25573.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031018-23641.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031019-41454.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031019-22441.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031019-41454.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031009-15069.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031009-56275.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031010-69949.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031010-73970.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031010-86777.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031010-80269.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031011-84756.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031011-53363.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031011-76365.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031011-84756.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031010-86777.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031011-68648.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031012-31656.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031012-95474.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031006-36561.gif)
是椭圆的左、右焦点,过点P作椭圆右准线的垂线,垂足为M,
若四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031006-53175.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031006-24235.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030959-94564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031000-17056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031000-48367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031000-49879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031000-33754.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026031001-66346.png)
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