许多机构中，常采用阿基米德螺旋线轮廓凸轮，在加工和检测该凸轮时，必须预先计算出凸轮曲线与过渡圆弧切点位置的坐标值，由于凸轮曲线是非圆曲线，计算难度较大。本文由微分几何学列出在曲线上任一切点处的变量方程，根据已知条件，进行程度编制，通过微机处理，即可迅速而准确地得到所需切点处的曲线向量半径．再由推导出的有关公式计算得到所需切点的坐标位置，达到快速确定的目的。 Many agencies often use Archimedes spiral profile cam. When machining and testing the cam, it is necessary to calculate the coordinate values ​​of the cam curve and transition arc tangent point in advance. Since the cam curve is non-circular curve, it is difficult to calculate Big. In this paper, by the differential geometry, the variable equations at any point in the curve are listed. According to the known conditions, the degree programming is done. By computer processing, the radius of the curve vector at the required point of contact can be obtained quickly and accurately. Then by deducing the relevant formula to calculate the required coordinates of the tangent point to achieve the purpose of rapid determination.