函数对称性与周期性在中学数学解题中的应用

Application of Function Symmetry and Periodicity in Solving Problems in Middle School Mathematics

摘要: 在中学数学的学习中，函数的对称性与周期性是研究函数的重要工具，也是近几年的高考卷的考察热点，许多函数问题都需要两者结合应用才能解决。对此本文先给出函数关于对称性与周期性关系的基本结论并简单证明，然后举例说明其在具体解题中的应用。

Abstract: In the study of middle school mathematics, the symmetry and periodicity of functions are important tools for the study of functions, and they are also the hot spots of the college entrance examination in recent years. Many function problems need to be solved by combining the two. In this paper, this paper first gives the basic conclusion of the function on the relationship between symmetry and periodicity and briefly proves it, and then gives an example to illustrate its application in solving specific problems.