换面法在解决画法几何学投影变换问题中的应用研究

Study on the Application of Surface Method in Solving the Descriptive Geometry Projection Transformation Issue

通过分析投影变换问题的作图原理,明确换面法的应用实质为保持空间几何要素的位置不动,用新的投影面来代替旧的投影面,使空间几何要素由原投影体系中的一般位置,转变为新投影体系中的特殊位置,从而解决一般位置几何要素的度量或定位问题。在简化空间取点取线等画法几何问题的同时,还可以为实际工程提供最优化建设方案。

By analyzing the drawing principle of projection transformation issues,the paper shows that the application of surface method is to keep space geometric elements in fixed position,with new Projecting Plane to replace the old Projecting Plane.The geometric elements of the original space have changed from the general position of old projection system to the special position of new projection system to address the metric or positioning problem of geometric elements of the general location.The surface method can not only Simplify the descriptive geometry issue of the points and lines in space,but also provide the best construction plan for practical engineering programs.