函数是数学的重要基础,函数性质的应用是高考考查的重点和热点.本文给出函数的对称性和周期性的几个结论,对利用函数的性质解题作简单的归纳总结,供大家参考.1.点对称问题定理一已知函数f(x)满足f(x)+f(2a-x)=2b,则y=f(x)的图像关于点A(a,b)对称;反之亦成立. Function is an important foundation of mathematics, the application of the nature of the function is the focus and hot spot for college entrance examination examinations.This paper gives several conclusions of the symmetry and periodicity of the function, simply summarizes the problem of the nature of the use of functions for your reference .1 Theorem for Point Symmetry Problem The image of y = f (x) is symmetric about point A (a, b), given that f (x) satisfies f Also set up.