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分段函数的解析式区别于一般的函数解析式,其独特的特点也决定了它独有的求解方法.本文主要从函数的奇偶性,周期性,对称性对分段函数解析式的求法进行简要阐述.一、利用函数的奇偶性求解析式函数奇偶性是函数的最基本性质,根据对称区间函数解析式之间的关系,利用函数的奇偶性定义f(-x)=f(x)或f(-x)=-f(x),可以很容易地求出在某一特定区域内函数的解析式,从而顺利解决问题.
The analytic formula of piecewise function is different from the general analytic formula of function, and its unique characteristic also determines its unique method of solution.This paper mainly analyzes the method of analytic subdivision function from its parity, periodicity and symmetry First, the use of the function of the parity-solving function Parity is the most basic nature of the function, according to the symmetric interval function analysis of the relationship between the use of the definition of the function of parity f (-x) = f (x) Or f (-x) = - f (x), we can easily find the solution of the function in a specific area, so as to solve the problem smoothly.