名校
1 . 已知函数
,
,如果对于定义域D内的任意实数x,总存在非零常数T,恒有
成立,其中m为给定的非零常数,则称函数
是D上的“周期为T的m级类周期函数”.已知定义在
上的函数
,当
时,
.
(1)若
是
上“周期为1的2级类周期函数”,
①求
的值;
②分别求出
在
和
上的函数解析式;
(2)若函数
是
上“周期为1的m级类周期函数”,且在
上单调递减,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0594ef5ddddd8c56c63eb42d26ef14e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d31d07e0e178dd81de9ab409d9475e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3477e3f73ba9a432693edd3fbe8330fc.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac19e9bffaca49026712956ba5eb339.png)
②分别求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c032f402a4673407ebb0ead150bfd8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2efe10c0591b41c42c7b6836023081b3.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
您最近一年使用:0次
2022-01-24更新
|
595次组卷
|
2卷引用:山东省聊城第一中学2021-2022学年高一上学期期末数学试题
解题方法
2 . 定义在R上的函数
满足
,当
时,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6016e74e98c5072983af42e403465e5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9186dc3f15560a1e10970193893e9f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e02a73468ea1b6f193a5a95d72ea67.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
3 . 已知定义在
上的周期函数
(在长度不小于它的一个最小正周期的闭区间上)的图象如图所示,则函数
的最小正周期为_______ ,函数的解析式_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/2021/1/31/2647876105846784/2650915710427136/STEM/6db2547a-6db7-4c16-8a74-267e3d9df885.png?resizew=295)
您最近一年使用:0次
2021-02-04更新
|
325次组卷
|
2卷引用:山东省滨州市2020-2021学年高一上学期期末数学试题