奇偶性是函数的重要性质之一,应用广泛,是高考和数学竞赛命题的热点,灵活运用它可使许多难题迎刃而解.现将函数奇偶性的应用归纳如下,以供同学们复习时参考.一、求函数的值例1若函数f(x)与g(x)定义在R上,且f(x-y)=f(x)g(y)-g(x)f(y),f(-2)=f(1)≠0,求g(1)+g(-1)的值.解f(y-x)=f Parity is one of the important properties of the function, widely used, is the focus of the college entrance examination and mathematical contest proposition, flexible use of it can solve many problems solved. Now the application of the function of parity are summarized as follows for students to review reference. If the functions f (x) and g (x) are defined on R and f (xy) = f (x) g (y) -g (x) f 2) = f (1) ≠ 0, find the value of g (1) + g (-1) Solution f (yx) = f