题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040652-94376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040652-56290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040652-98072.png)
(1)求抛物线与双曲线的解析式;
(2)已知点
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040653-95238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040652-98072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040653-72937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040653-95714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040652-98072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040653-25758.png)
求
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040654-41606.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040654-35268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040654-84544.png)
解析
试题分析:(1)将(m,0)(n,0)代入抛物线,组成方程组求解即可.
(2)由点都在双曲线上,可以总结出点的坐标,用a表示,得出规律,求三角形的面积,然后相加即可.
试题解析:
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040654-93632.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040654-35268.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040654-96451.png)
(2)∵点
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040655-34841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040652-98072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040655-55812.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040655-34841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040655-26583.png)
如图,过
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040655-41019.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040656-18036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040656-11328.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040656-64500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040656-28652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040657-81136.png)
Q在双曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040652-98072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040653-25758.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040657-97507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040657-77313.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040657-38062.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040657-91692.png)
核心考点
试题【已知抛物线过两点(m,0)、(n,0),且,抛物线于双曲线(x>0)的交点为(1,d).(1)求抛物线与双曲线的解析式;(2)已知点都在双曲线(x>0)上,它们】;主要考察你对二次函数定义等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040646-22655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040646-98714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040646-88882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040647-90005.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040638-87881.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040633-18481.png)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040633-88835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040633-76044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040633-22385.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040633-42572.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040628-12854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019040628-17222.png)
(1)若商场平均每天要盈利1200元,每件衬衫应降价多少元?
(2)每件衬衫降价多少元,商场平均每天盈利最多?
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