利用特殊角度辅助面求解画法几何交线问题

The use of special point of auxiliary plane geometry problem solving intersection

在大学"机械制图"这门课程和相关配套教材中,都只仅介绍了利用最常见的V、H、W3个平行平面作为辅助面来求解集合体的截交线问题。这种方法利于理解和掌握,在某些问题中比较简便,但是对于曲面相对较多或者较复杂的组合体,要确定截交线上的点需要反复利用分规作图,这样工作量和作图误差都会变得比较大。因此,文章着重介绍利用特殊角度辅助面来解决此类问题,以此提高作图效率和精度。

In the University＂ mechanical drawing＂ course and related materials,only introduced the most common three plane parallel of V,H,W as auxiliary surface and solve the intersection problem.This method is easy to understand and grasp,some problems are relatively simple,but for the surface relatively more or more complex combination,to determine the intersection points on the need for repeated use of sectional drawing,so the workload and mapping errors will be greater.So in this article focuses on the use of special point of auxiliary plane to solve such problems,so as to improve the drawing efficiency and precision