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题(2006年浙江高考卷(理)第10题)函数f:{1,2,3}→{1,2,3},满足f(f(x))=f(x),则这样的函数个数共有()个A.1B.4C.8D.10分析该题是在函数背景下考查排列组合知识本题破题的难点:一是能否深刻理解函数概念;二是如何理解f(f(x))=f(x)这个符号.该题若考虑函数f:{1,2,3}→{1,2,3}的个
Problem (2006 Zhejiang College Entrance Examination Volume 10) Function f: {1,2,3}→{1,2,3}, satisfying f(f(x))=f(x), then The total number of functions () A.1B.4C.8D.10 analysis of the problem is the difficulty of examining the problem of arranging combination knowledge in the context of the function: first, whether the function concept can be deeply understood; second is how to understand f(f ( x)) = f(x) This symbol considers the function f: {1,2,3}→{1,2,3}