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题设f(x)是定义在R上的偶函数,其图象关于x=1对称.证明:f(x)是周期函数. (01年高考22题) 这个证明很简单:由题设条件知道,对于任意x∈R,有
Let us assume that f(x) is an even function defined on R. Its image is symmetric about x=1. Prove that f(x) is a periodic function. (The 22 questions of the entrance examination in 01) This proof is very simple: Know that for any x∈R, there is