本文就离散函数中的测度理论就一阶连续曲线族中的一条曲线和其它曲线形状的相似程度问题给出了一般性理论,阐明了一条连续曲线可以用一个离散函数来逼近,连续曲线的相近性问题就化为离散函数曲线的相近性问题,通过离散函数曲线的相似程度得出连续曲线形状的相近程度。 In this paper, we give a general theory about the degree of similarity between one curve in first-order continuous curve family and the shape of other curves. The paper expounds that a continuous curve can be approximated by a discrete function, and the continuous curves are similar The problem of sexuality is transformed into the similarity of discrete function curves. The similarities of discrete curve curves are obtained by the similarity degree of discrete function curves.