题目
题型:解答题难度:一般来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024147-33466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024147-42938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024147-58268.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024147-33466.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024147-32274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024148-66032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024148-58420.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024148-68838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024148-97570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024148-77350.png)
答案
解析
试题分析:(1)设出二次函数的一般形式后,代入
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024149-60430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024149-13487.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024149-18748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024149-38573.png)
(2)不等式有解即为把不等式变为
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024149-29342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024150-60771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024150-43248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024150-11114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024148-58420.png)
(3)把
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024150-62727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024149-38573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024150-94748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024150-94748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024151-56324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024151-56324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024150-94748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024151-22516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024150-94748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024151-22516.png)
试题解析:解:(1)设
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024151-23728.png)
代入
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024149-60430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024151-94800.png)
并化简得
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024151-73543.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024151-41305.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024147-32274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024148-66032.png)
即方程
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024152-78382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024147-32274.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024152-31073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024150-43248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024152-44137.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024148-58420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024152-44137.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024152-39417.png)
对称轴是
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024152-27057.png)
①当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024153-89925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024153-62884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024153-59996.png)
② 当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024153-48193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024153-85158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024153-26028.png)
综上所述:。
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024154-96614.png)
核心考点
试题【已知二次函数满足,且。(1)求的解析式;(2)当时,方程有解,求实数的取值范围;(3)设,,求的最大值.】;主要考察你对一次函数的图象和性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024143-95494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024144-98088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024144-38788.png)
A.![]() | B.![]() |
C.![]() | D.随![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024140-19697.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024141-86119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024141-80740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024141-99352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024141-89575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024138-79286.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024138-63382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024138-71865.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024128-77095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024128-25003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024128-80881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024121-18343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024121-34947.png)
①方程
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024121-76256.png)
②若
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024121-63390.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024122-83357.png)
③若
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024122-43173.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024122-28318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024122-34790.png)
④函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024122-13981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819024123-41481.png)
其中正确的结论是____________(写出所有正确结论的编号).
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