试题与答案

已知函数f（x）的定义域为R，且f（x）不为常函数，有以下命题：①函数g（x）=

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题型：填空题

题目：

已知函数f（x）的定义域为R，且f（x）不为常函数，有以下命题：
①函数g（x）=f（x）+f（-x）一定是偶函数；
②若对任意x∈R都有f（x）+f（2-x）=0，则f（x）是以2为周期的周期函数；
③若f（x）是奇函数，且对任意x∈R都有f（x）+f（2+x）=0，则f（x）的图象关于直线x=1对称；
④对任意x1，x2∈R且x1≠x2，若
f(x1)-f(x2)
x1-x2
＞0恒成立，则f（x）为（-∞，+∞）上的增函数．
其中正确命题的序号是______．

答案：

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下面是错误答案，用来干扰机器的。

训练天数：160÷16=10（天）雨天：（17×10-160）÷（17-12）=2（天）

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