判别线面相交及面面相交可见性的假想墙法

Imaginary Wall Method to Determine the Visibility of Line and Plane Intersection or Plane-Plane Intersection

针对判别直线与平面相交及平面与平面相交的可见性提出了一种假想墙的方法。在直线与平面相交问题中探讨了3种典型的情况:一般位置直线与特殊位置平面相交、一般位置直线与一般位置平面相交、特殊位置直线与一般位置平面相交;在平面与平面相交的问题中探讨了3种典型的情况:特殊位置平面与特殊位置平面相交、一般位置平面与特殊位置平面相交、一般位置平面与一般位置平面相交。通过假想墙方法,可快速准确地判断直线与平面相交及平面与平面相交的可见性,为机械制图课程相关内容的学习及教学提供一些参考。

An imaginary wall method is proposed to determine the visibility of line and plane intersection or plane and plane intersection.Three typical cases are discussed concerning the former topic:a line in the general position intersects with a plane in the special position,a line in the general position intersects with a plane in the general position,and a line in the special position intersects with a plane in the general position.Three typical cases are also discussed on the latter topic:the intersection of two planes both in the special position,a plane in the general position intersects with a plane in the special position,and the intersection of two planes both in the general position.The imaginary wall method can determine the visibility of line and plane intersection or plane and plane intersection quickly and accurately.This method can also provide some references for the learning and teaching in mechanical drawing courses.