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高中教材(无论新旧)都是在学习正弦函数、余弦函数时介绍函数的周期性的．若注意到正弦函数、余弦函数同时也是轴对称函数．中心对称的函数,那么,函数的对称性与周期性有无必然的联系?
High school textbooks (whether new or old) introduce periodic functions when learning sine and cosine functions. Note that the sine and cosine functions are also axisymmetric functions. The function of the center symmetry, then, is the symmetry of the function necessarily related to the periodicity?