画法几何角度问题的锥面解法

Conical Surface Method for Angle-Problem Solving in Descriptive Geometry

在画法几何图解作图中,涉及角度求解的问题较多.由线、面倾角锥面求解的空间分析得出锥面求解画法几何角度问题的一般方法.通过基本问题和综合问题的实例图解,证明该方法既可简化作图过程,又可解决一些常规方法难以解决的问题,同时图解过程的空间分析也有助于学生空间想象力和空间思维能力的培养.

During the process of graphical method in descriptive geometry, there are lots of questions involving angle-solving. A general method solving the descriptive geometry problems by the conical surface was developed based on the spatial analysis of the line, plane inclination method. The efficiency of the method was proved by solving the fundamental and synthetical problems and it was proved that the method can simplify the drawing process, and also be capable of solving the problems that is difficulty for the regular method. The method is conducive to develop the student＇ s ability of space imagination and space thinking.