基于交点的平面立体截交线求解方法

Drawing method of intersection lines resulting form plane cutting planar solid based on intersection points

平面立体的截切是制图类课程中学生遇到的第一个建构复杂三维形体的知识点,其中涉及的点、线、面、体等元素错综交织,对于刚接触绘图知识的学生来说很难在短时间内掌握,往往会出现错线、漏线、多线、截切后立体去留部分的判断错误以及线条的可见性判断失误等问题.以学生都普遍掌握较好的点的三面投影为切入点,给出了基于交点的平面立体截交线求法,将复杂的问题简单化、规律化,提高了本部分知识点对初学者的可学习性,多学期的授课实践证明了该方法的有效性.

Planar solid cutting by plane is a complex three-dimensional knowledge point in drawing course. There are so many points, lines, planes and spatial structures in such draw- ing course. So biginners often have lots of problems such as missing and incorrect lines, or error visibility judgment of lines while studying this part. A new method based on simple in- tersection points to analyze complex plane cutting planar solid is introduced in this paper.And better learning effects have reached during several semesters by guiding students in using this method.