给出了一种根据零件加工精度要求，对三次Ｂ样条列表曲线进行直线插补，自动生成变步长刀位轨迹的算法，简称自适应算法。该算法当列表曲线曲率大时，使步长变小，反之使步长变大，同时使逼近误差满足要求。该算法稳定、可靠，便于在列表曲线、列表曲面的数控加工中推广应用。 An algorithm based on the precision machining of parts is proposed, which is based on the cubic B-spline list curve and automatically generates the variable-path tool path. When the curvature of the list curve is large, the algorithm makes the step size smaller, on the contrary it makes the step size larger, and at the same time makes the approximation error meet the requirement. The algorithm is stable, reliable and easy to popularize and apply in the list control of curve and list surface.