【题文】若函数式表示的各位上的数字之和,如所以,记,则
【题文】若函数式表示的各位上的数字之和,如所以,记,则
题型:难度:来源:
【题文】若函数式
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051235-80528.png)
表示
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051235-77372.png)
的各位上的数字之和,如
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051236-49928.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051236-20140.png)
,记
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051236-49349.png)
,
则
答案
【答案】8
解析
【解析】解:因为如
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051236-49928.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051236-20140.png)
,记
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051236-49349.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051237-69047.png)
8,根据周期性得到结论。
举一反三
【题文】已知
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051019-74331.png)
是定义在R上的偶函数,并且满足
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051019-64900.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051019-98966.png)
时
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051019-42886.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051020-20088.png)
( )
【题文】已知
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051008-12478.png)
是定义在R上的偶函数,并且满足
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051009-83412.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051009-40523.png)
时
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051009-42435.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327051009-41153.png)
( )
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327050927-14637.png)
的周期为2,当
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327050928-44646.png)
时
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327050928-91039.png)
,那么函数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327050927-14637.png)
的图象与函数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327050928-60041.png)
的图象的交点共有
【题文】 已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327050844-99867.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327050845-54353.png)
,且
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327050845-85371.png)
,当
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327050845-26453.png)
时,
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327050844-99867.png)
是增函数,
设
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327050846-87888.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327050846-26825.png)
,
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327050846-82359.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327050846-34624.png)
、
![](http://img.shitiku.com.cn/uploads/allimg/20200327/20200327050847-14283.png)
的大小顺序是
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