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函数有很多性质,周期性就是其中之一.在函数的计算中使用函数的周期性往往可以让函数问题变得清晰明了.本文着重介绍了周期的定义以及和函数相关的图像,性质,模型,算法,并且例举函数在三角函数,数列和生活中的应用.结合函数对称轴、对称中心、奇偶性、单调性等能够更加清楚认识函数的本质.周期是从有限循环到无限循环的一个过渡,由一个点扩大到一个面的转换,而周期性在函数的延伸拓展、定积分运算的简化等方面会有巧用,函数的应用也会渗透到我们的日常生活中,对生活中的计算问题会有很大帮助,周期函数也将会有着非凡的作用.
The function has many properties and the periodicity is one of them.Using the periodicity of the function in the calculation of the function can often make the function problem become clear and clear.This paper mainly introduces the definition of the periodicity and the image, nature, model, Algorithm, and illustrates the application of the function in trigonometric functions, number sequences and life.The function can be more clearly understood by combining the symmetry axis, symmetry center, parity, monotonicity, etc. The cycle is a transition from a finite cycle to an infinite cycle , From a point to a surface to expand the conversion, and cyclical expansion in the function of the expansion, the definite integral operation simplified and so will be clever, the application of the function will permeate into our daily life, the calculation of life The problem will be very helpful, the periodic function will also have an extraordinary role.