【题文】函数的单调增区间为____________________.
题型:难度:来源:
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325202414-72348.png)
的单调增区间为____________________.
答案
【答案】
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325202414-72086.png)
解析
【解析】
试题分析:先求出函数的定义域,结合复合函数的单调性,从而得到函数的单调区间.
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325202415-71729.png)
,令
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325202415-32969.png)
对称轴
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325202415-87564.png)
开口向下,∴g(x)在
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325202414-72086.png)
递减,∴f(x)在
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325202414-72086.png)
递增.
考点:复合函数的单调性
举一反三
【题文】若函数
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325202007-53467.png)
为定义在R上的奇函数,且在
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325202007-83270.png)
内是增函数,又
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325202008-32342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325202008-54957.png)
,则不等式
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325202008-78015.png)
的解集为
.【题文】定义在R上的偶函数f(x)满足:对任意的
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325201920-60289.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325201920-60538.png)
,则( )
A.f(-3)<f(-2)<f(1) | B.f(1)<f(-2)<f(-3) |
C.f(-2)<f(1)<f(-3) | D.f(-3)<f(1)<f(-2) |
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325201849-80428.png)
是定义在R上的增函数,则函数
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325201850-52910.png)
的图象可能是( )
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325201850-38323.png)
【题文】设
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325201531-74526.png)
,若
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325201532-27517.png)
是
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325201532-14087.png)
的最小值,则
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325201532-12692.png)
的取值范围为( )
A.[-1,2] | B.[-1,0] | C.[1,2] | D.[0,2] |
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325201145-56506.png)
是偶函数,当
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325201145-45920.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325201145-14342.png)
,且当
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325201146-13260.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325201146-13936.png)
的值域是
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325201146-18719.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325201147-12371.png)
的值是
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