直纹面问题的解题思路分析

Analysis on Solving Problems of Ruled Surface

摘要: 通过对直纹面的分析与研究，讨论直线在曲面上的问题。分析实例，借助坐标变换，直面曲面的几何特征，判断曲面所属类型；探讨将锥面、柱面的证明问题，转化为计算题，完成问题的证明。

Abstract: By analyzing and studying on ruled surfaces, we deal with the problems of lines on the surfaces. Using coordinate transformations when some surfaces problems are discussed, the types of the surfaces are determined according to the geometrical features of the surfaces. The method about turning a proof of cones or cylinders into a calculation problem will be discussed.