题目
题型:填空题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181235-57502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181235-55040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181235-86289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181236-74518.png)
答案
解析
试题分析:因为
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181235-55040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181236-19940.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181236-90316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181236-68707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181236-55036.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181237-58906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181237-52153.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181237-26962.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181237-15233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181237-63288.png)
点评:解决本题的关键是从对称性入手,逐步代换得出函数的周期,从而达到求值的目的.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181219-72386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181219-89785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181219-13688.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181220-10685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181220-56527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181220-26464.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181219-72386.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181220-86325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181220-37279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181221-56347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181221-76014.png)
(3)试问:是否存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181221-75075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181221-23834.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181219-72386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181221-75075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181215-57473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181215-35269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181215-29470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181215-60410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181215-61227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181216-72074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181216-94111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181216-15238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181212-84097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181213-22394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181212-84097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181213-53523.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181213-63689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181213-49424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181214-35546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181214-80862.png)
其中是一阶整点函数的是( )
A.①②③④ | B.①③④ | C.①④ | D.④ |
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181156-50272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181156-24860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181156-18875.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181157-96914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181157-73088.png)
(Ⅱ)是否存在最小的正整数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181157-85699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181157-51136.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181157-41621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181157-85699.png)
(Ⅲ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181158-51896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181158-81060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181158-63616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181145-44369.png)
(1)若不等式
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181145-37646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181145-25481.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181145-83742.png)
(2)解关于
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181145-55434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181146-45567.png)
(3)若不等式
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181146-68261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181146-57751.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819181145-83742.png)
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