求解两一般位置二次曲面交线最佳方法的研究

Optimum method to obtain intersection of two general positions intersecting quadric surfaces

画法几何学中的难点之一是求解两一般位置二次曲面的交线 .在高等画法几何学中的诸多求相贯线方法中 ,针对不同类型的题 ,求解存在局限性 ,复杂性 ,尤其是对一般位置两曲面立体相贯 .在В .О .ГОРДОН作图原理的基础上 ,综合摘取各种求相贯线上点的可行性 ,同时发挥迹线面作图简单的优越性 。

One of difficulties in descriptive geometry theories is to draw the intersection created by two general position intersecting quadric surfaces. Among the various methods of drawing the intersections in advanced descriptive geometry theories, there are many limitations and complexities for different exercises at different degrees, and the transfixion of two general position solids made of curved surface in particular. Based on the В О ГОРДОН drawing principle, this paper discusses and optimal method for drawing, through utilizing the feasibility of drawing points on various intersections and the advantages of using trace lines and trace surface to draw an auxiliary trace line and surface at the required position.