【题文】函数是定义在R上恒不为0的函数,对任意都有,若,则数列的前n项和Sn的取值范围是
【题文】函数是定义在R上恒不为0的函数,对任意都有,若,则数列的前n项和Sn的取值范围是
题型:难度:来源:
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103335-64189.png)
是定义在R上恒不为0的函数,对任意
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103335-88134.png)
都有
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103336-23117.png)
,若
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103336-80018.png)
,则数列
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103336-11835.png)
的前n项和S
n的取值范围是 ( )
答案
【答案】C
解析
【解析】
解析:f(2)=f
2(1),f(3)=f(1)f(2)=f
3(1),
f(4)=f(1)f(3)=f
4(1),a
1=f(1)=1/2,
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103337-60855.png)
举一反三
【题文】设
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103325-10929.png)
,则不等式
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103325-41626.png)
的解集为 ( )
【题文】设
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103254-67609.png)
,则不等式
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103254-50207.png)
的解集为 ( )
【题文】对
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103235-64729.png)
,运算“
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103235-27267.png)
”、“
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103235-33180.png)
”定义为:
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103236-67960.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103236-92420.png)
,则下列各式中恒成立的是 ( )
①
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103236-31191.png)
②
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103236-31388.png)
③
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103237-68440.png)
④
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103237-77567.png)
【题文】对
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103222-39742.png)
,运算“
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103223-24822.png)
”、“
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103223-92254.png)
”定义为:
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103223-16306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103224-94930.png)
,则下列各式中恒成立的是 ( )
①
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103224-22946.png)
②
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103224-69691.png)
③
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103225-71507.png)
④
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103225-40125.png)
【题文】设函数
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103210-34080.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20200325/20200325103210-77048.png)
的值为( )
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