题目
题型:解答题难度:一般来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064819-97578.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064819-60726.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064820-63889.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064819-97578.gif)
(2) 当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064820-69172.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064820-13879.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064820-29984.gif)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064820-12167.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064820-26210.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064821-46755.gif)
答案
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064821-71780.gif)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064821-83218.gif)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064821-54981.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064821-62823.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064822-61838.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064822-93252.jpg)
得:
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064822-54414.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064822-31089.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064821-71780.gif)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064820-69172.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064820-13879.gif)
即:
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064822-54912.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064823-29957.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064823-39163.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064820-69172.gif)
则对称轴:
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064823-92886.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064823-50960.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064821-83218.gif)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064823-92951.gif)
对称轴为:
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064823-29555.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064824-71353.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064824-54791.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064824-90996.gif)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064824-36641.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064824-73295.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064825-84091.gif)
综上所述:
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064821-54981.gif)
核心考点
试题【(本小题12分)已知二次函数满足且.(1)求的解析式;(2) 当时,不等式:恒成立,求实数的范围.(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
函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064815-15124.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064815-73856.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064815-78875.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064816-64282.gif)
(2)求当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064816-69460.gif)
(3)用定义证明
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064815-15124.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064816-27186.gif)
设函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064806-92403.gif)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064808-11459.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064808-12772.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064808-63485.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064808-43429.gif)
(Ⅱ)在(Ⅰ)的条件下,当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064809-43856.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064809-45427.gif)
求实数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064809-49979.gif)
(Ⅲ)设
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064809-17974.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064809-58860.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064810-82399.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064803-91558.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064804-27069.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064804-95686.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064804-95686.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064803-91558.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064804-27960.gif)
设函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064759-10028.gif)
(Ⅰ)不等式
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064759-38343.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064759-96972.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064800-87764.gif)
(Ⅱ)在(Ⅰ)的条件下,试求不等式
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064800-90791.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064756-84197.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064757-89395.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064757-41711.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064757-34558.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064757-89395.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064757-20239.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064757-25223.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064758-68019.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064758-62866.gif)
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