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复合函数是高中数学中的一类重要函数,讨论复合函数的单调性、求复合函数的单调区间是高考数学中一类重要问题,也是一个难点问题。复合函数的单调性的复合规律为:若函数y=f(u)与u=g(x)的增减性相同(相反),则y=f[g(x)]是增(减)函数,可概括为“同增异减”。为了帮助考生对复合函数的单调性有一个全面的认识,本文介绍一种“三步一回头”法求复合函数的单调区间,仅供大家参考。
Complex function is a kind of important function in high school mathematics. Discussing the monotonicity of complex function, finding the monotonous interval of complex function is a kind of important problem in mathematics of college entrance examination and also a difficult problem. The complex law of the monotonicity of the compound function is that if the functions y = f (u) and u = g (x) have the same (and vice versa) addition and subtraction, then y = f [ , Can be summarized as “same increase minus minus ”. In order to help candidates have a comprehensive understanding of the monotonicity of the composite function, this article introduces a monotonic range of complex functions for “three steps and one turn” method, for your reference only.