题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213825-45029.jpg)
A.y2=9x B.y2=6x
C.y2=3x D.y2=
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213825-86347.png)
答案
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213826-95886.jpg)
∴由抛物线的定义可知∠BCD=30°,
|AE|=|AF|=3,∴|AC|=6.
即F为AC的中点,
∴p=|FF′|=
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213826-60644.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213826-15187.png)
核心考点
试题【如图,过抛物线y2=2px (p>0)的焦点F的直线l交抛物线于点A、B,交其准线于点C,若|BC|=2|BF|,且|AF|=3,则此抛物线方程为( )】;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/20191025/20191025213821-71266.png)
A.4 | B.2 | C.1 | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213804-99795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213804-91151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213804-51259.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213804-99795.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213804-16284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213805-64267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213804-99795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213805-32273.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213805-83195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213805-78238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213806-93046.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213806-67377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213806-43042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213756-64942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213756-61522.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213756-90829.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213756-45547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213756-61522.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213757-79863.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213740-49305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213740-72547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213741-17548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213741-20886.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213741-98901.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213741-77832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213742-95792.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213742-11160.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213742-68169.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213740-72547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213742-41393.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213743-64496.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213743-25420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213741-98901.png)
(2)试问
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213742-41393.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213743-64496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213743-60106.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213729-80547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191025/20191025213729-17411.jpg)
(1)求椭圆E的方程;
(2)在椭圆E上是否存在关于直线l对称的相异两点?若存在,请找出;若不存在,说明理由.
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