笔者在研究函数的奇偶性、周期性、对称性时,发现它们之间有一种内在的关系,利用这些关系来解答相关的题非常简捷,现介绍如下,不妥之处,敬请指正.结论1设f(x)是定义在R上的一个函数,①y=f(x)是奇函数;②y=f(x)的图象关于点A(a,0)(a≠0)对称;③y=f(x)是以2a为一个周期的周期函数 When the authors studied the parity, periodicity, and symmetry of the functions, they found that there was an internal relationship between them. Using these relationships to answer the relevant questions was very simple and straightforward. Now that it is introduced, it is not appropriate. Please correct me. 1 Let f(x) be a function defined on R, 1y=f(x) be an odd function; image of 2y=f(x) be symmetrical about point A(a,0)(a≠0); 3y =f(x) is a periodic function with 2a as a period