函数奇偶性是函数的重要性质,它既有“式”的形式:f(-x)与f(x)的关系;又有“形”的形式:图象的对称性.本文将从三类函数入手分析如何判断函数奇偶性.一、一般函数奇偶性的判断一般函数奇偶性的判断适合用定义法,用定义判定函数奇偶性要从三“看”入手,即:一“看”定义域是否关于原点对称;二“看”函数解析式在定义域内的等价变形;三“看”f(-x)与f(x)的关系,其中f(-x)=-f(x)(?)f(x)+f(-x)=0(?)f(-x)/f(x)=-1,即f(x)满 Function parity is an important property of the function. It has both the form of “”: the relation of f (-x) and f (x) and the form of “form”: the symmetry of the image. We will analyze how to determine the function parity from the three types of functions: 1. The determination of the parity of the general function The determination of the parity of the general function suits the definition method, and the definition of the function determines the parity of the function. The relationship between the origin and the origin of symmetry of the “see” domain; the equivalence of the analytic expression of the “look” function in the domain; the relation between f (-x) and f f (-x) = -f (x) f (x) + f (-x) = 0 (?) f (-x) / f