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函数是高中数学的主线,是高中数学的重要基础,对称性和周期性是函数的两个重要性质,它们之间相互作用,密不可分,综合研究它们的相互关系,并由此得到的性质和结论,往往能更简捷地使问题得到解决.本文就介绍函数y=f(x)的对称性和周期性的几个结论.一、函数y=f(x)的对称性性质1函数y=f(x)的图象关于直线x=a(a为常数)成轴对称,则以下三式成立且等价.
Function is the main line of high school mathematics, is an important basis for high school mathematics, symmetry and periodicity are two important properties of the function, the interaction between them are inseparable, a comprehensive study of their relationship, and the resulting nature and In conclusion, the problem can be solved more simply and easily.In this paper, several conclusions about the symmetry and periodicity of the function y = f (x) are introduced.First, the symmetric property of the function y = f (x) The image of f (x) is axisymmetric with respect to the straight line x = a (a is a constant), then the following three equations hold and are equivalent.