【题文】函数的值域为 .
【题文】函数的值域为 .
题型:难度:来源:
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325040009-67566.png)
的值域为
.
答案
【答案】
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325040009-57659.png)
.
解析
【解析】
试题分析:
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325040010-32068.png)
,当
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325040010-30180.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325040011-85076.png)
;当
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325040011-23818.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325040011-54654.png)
;当
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325040011-70864.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325040012-59240.png)
,综上所述,函数
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325040012-80233.png)
的值域为
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325040009-57659.png)
.
考点:分段函数
举一反三
【题文】设
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325040006-74391.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325040006-76659.png)
=
.
【题文】定义在R上的函数
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325035958-59270.png)
满足
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325035958-19021.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325035958-36773.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325035958-65062.png)
,且当
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325035959-73809.png)
,时,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325035959-82780.png)
.
(1)
;(2)
.
【题文】设
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325035944-69184.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325035945-71013.png)
=
.
【题文】定义在R上的函数
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325035928-94614.png)
满足
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325035928-48197.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325035929-63092.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325035929-77918.png)
,且当
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325035929-42562.png)
,时,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325035930-44885.png)
.
(1)
;(2)
.
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325035900-43882.png)
的增区间为
.
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