题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033430-35752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033431-79772.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033431-87710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033431-37935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033430-35752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033431-87710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033431-22344.png)
(1)求抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033430-35752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033431-87710.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033431-54935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033431-70489.png)
解析
试题分析:(1)由题意抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033430-35752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033432-97757.png)
把
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033431-22344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033432-97757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033432-23586.png)
因此,抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033430-35752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033431-54935.png)
(2)抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033430-35752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033432-70724.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033432-82124.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033431-87710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033433-77941.png)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033433-59122.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033433-98102.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033433-81159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033433-58332.png)
于是,双曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033431-87710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033431-70489.png)
点评:求圆锥曲线的标准方程通常用待定系数法,找清楚焦点的位置,开口等,代入条件求解即可.
核心考点
试题【(本小题满分12分)已知抛物线:的准线经过双曲线:的左焦点,若抛物线与双曲线的一个交点是.(1)求抛物线的方程; (2)求双曲线的方程.】;主要考察你对双曲线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/20191024/20191024033421-27887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033421-99976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033421-89787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033421-30026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033422-50821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033422-23171.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033422-58738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033421-30026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033422-38579.png)
(Ⅰ)求双曲线的方程;
(Ⅱ)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033422-21321.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033422-74596.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033422-91530.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033422-24019.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033422-74596.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033414-99183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033414-23112.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033410-36679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033405-93509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033402-69578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033402-80946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033402-61168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024033402-31040.png)
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