题目
题型:填空题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231147-66756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231147-67999.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231147-66917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231148-29987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231148-34163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231148-35718.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231147-66756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231148-40376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231147-66917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231148-10078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231147-66756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-93799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231147-66756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231148-10078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-72634.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-71440.png)
解析
f(x)为R上的4高调函数, 则对任意X,有f(x+4)>=f(x)
f(x)=|x-
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-90269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-90269.png)
x>
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-90269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-90269.png)
0=<x<
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-90269.png)
由奇函数对称性,-
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-90269.png)
x
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-38721.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-90269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-90269.png)
因此f(x)在[-
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-90269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-90269.png)
因此当X在[-2
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-90269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-90269.png)
所以有:
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231149-71440.png)
核心考点
试题【设函数的定义域为,若存在非零常数使得对于任意有且,则称为上的高调函数.对于定义域为的奇函数,当,若为上的4高调函数,则实数的取值范围为________.】;主要考察你对函数的奇偶性与周期性等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231143-88639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231143-30141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231143-89504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231144-49324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231144-28572.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231136-71328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231137-42283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231137-27304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231137-24268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231137-11673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231137-52613.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231129-58557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231129-37774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231130-85037.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231121-88075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231122-55642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231122-96873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231122-76869.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231122-27200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231121-88075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231122-46374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231122-96873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231123-40072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231123-22244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231123-40072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231123-69269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231123-69269.png)
如果定义域为
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231123-55242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231121-88075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231123-13772.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231121-88075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231123-55242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231124-33084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231124-64250.png)
(1)函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231115-52041.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231116-85883.png)
(2)若关于
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231116-30484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231116-76094.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231116-87968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231116-34135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231117-10629.png)
(3)已知点
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231117-63666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231117-93751.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231117-44947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231117-12981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231118-53799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231118-23140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231118-29852.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231118-92707.png)
(4)若将函数
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231118-98005.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231119-23902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231119-42115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190818/20190818231119-69760.png)
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