关于参数曲线的多重点讨论

On Multiple Repeating Point of Parameter Curve

由参数方程表示的曲线在积分学中占有重要地位,它和定积分的换元积分法的密切联系。在求由参数曲线所围平面图形面积时,积分限的确定是一个难点,它与参数曲线的多重点息息相关。

The curve shown by the parameter equation, which is closely bound up with integration by substitu-tion of definite integral, plays an important part in integral calculus. When calculating the area of plane en-closed by the parameter curve,one may find it is a difficult point to fix the integral bounds, which is vitally in-terrelated with multiple repeating point of parameter curve. This paper concerns a superficial understanding of multiple repeating point of parameter curve.