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解题方法
1 . 已知f(x)是定义在R上的函数,满足
.
(1)若
,求
;
(2)证明:函数f(x)的周期是2;
(3)当
时,f(x)=2x,求f(x)在
时的解析式,并写出f(x)在
时的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b94f154fad04efe8c4af84831ee43b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa078bf063c53e4cd50579363c8c7927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17a5c34098f0c1729c163875e63ce3e7.png)
(2)证明:函数f(x)的周期是2;
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04614d0fac9cde995374a43d4323b723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a1891ad6476d0f35364b27d8f5241a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b7a52fd39fb29c561b531e933ac001.png)
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