介绍了螺旋翅片管的结构特点,用空间解析几何的方法分析了螺旋翅片管结构的本质特征,用螺旋面和螺旋线的基本性质解析了螺旋翅片管的几何性质.给出了翅片表面任意点的切线和次法线向量表达公式.为了研究轧辊与轧件的空间几何关系,推导了轧辊与轧件的坐标变换公式,以此为基础给出了轧片与轧件的切点坐标公式以及轧片半径的求解公式. The structural characteristics of spiral finned tube are introduced, the essential characteristics of spiral finned tube structure are analyzed by means of spatial analytic geometry, and the geometrical properties of spiral finned tube are analyzed by the basic properties of spiral surface and spiral. In order to study the geometrical relationship between the roll and the workpiece, the coordinate transformation formula between the roll and the workpiece is deduced. Based on this, the tangent and the normal expression of the normal vector of the workpiece are given Point coordinate formula and the formula for solving the radius of the sheet.