极坐标曲线周期的判定定理

在极坐标系中，由于点的极坐标的多值性，带来了一系列问题与在直角坐标系中讨论曲线有所不同。此文揭示了极坐标曲线ρ=f（θ）的周期与函数ρ=f（θ）的周期之间的数量关系，并给出了简捷而严格的证明，使求极坐标曲线的周期有了一个简便可行的方法。

In a polar coordinates system a point's multivalued polar coordinates bringsout a series of problems different from those in a right angular cordinates system. This arti-cle uncovers the magnitudes relation between the period of polar Coordinates curve p = f(O)and the Period of function p = f(0), providing a brief but strict proof and a simple, Operablemethod to work out the Polar coordinates curve.