【题文】已知函数,对于任意的,有如下条件:①; ②; ③; ④.其中能使恒成立的条件序号是
【题文】已知函数,对于任意的,有如下条件:①; ②; ③; ④.其中能使恒成立的条件序号是
题型:难度:来源:
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104026-11452.png)
,对于任意的
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104027-79111.png)
,有如下条件:
①
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104027-85797.png)
; ②
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104028-87734.png)
; ③
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104028-49073.png)
; ④
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104028-19982.png)
.
其中能使
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104029-48085.png)
恒成立的条件序号是
.
答案
【答案】
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104029-10216.png)
解析
【解析】:
试题分析:由题意可知:
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104029-85261.png)
所以函数为偶函数,当
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104027-79111.png)
时,若能使
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104029-48085.png)
恒成立,无论
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104030-27133.png)
的大小关系则应满足
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104030-40399.png)
,所以应选?④.
举一反三
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104016-49489.png)
是
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104017-34015.png)
上的偶函数,若对于
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104017-78640.png)
,都有
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104018-62794.png)
,且当
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104018-40819.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104018-53552.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330104019-83415.png)
的值为
【题文】已知
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330103925-95421.png)
是定义在
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330103925-56953.png)
上的偶函数,且在
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330103926-55291.png)
上是增函数,设
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330103927-66905.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330103927-28321.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330103928-28805.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330103928-66230.png)
的大小关系是( )
【题文】已知
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330103906-13908.png)
,则下列关系中正确的是( )
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330103902-31394.png)
,则不等式
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330103903-35631.png)
的解集为
.【题文】已知
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330103851-37337.png)
为正实数,则( )
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