由平面表示法探讨某些相交平面划分空间的问题

• 作 者: 相泽■
• 出 处: 南都学坛
• 发表日期: 1991年S2期
• 关键词: 平面 交线 直线 空间的 封闭图形 平行平面 共线 三个平面 平行线 空间部分

用直线划分平面,不论直线是平行的、共点的或两两相交的都能画得出它们把平面划分的部分,且能查得清所划出部分的个数;而用平面划分空间,就不那么了然了.简单一些的,如几个平行平面或几个共线平面划分空间的问题可以模型演示或凭想像去理解也较容易,但对那些比较复杂的问题,如两两相交且交线平行而不重合的几个平面,或共点且交线不重合的几个平面划分空间的问题,不仅模型难做,就连想像也是困难的.

Divided by a straight line plane, no matter the straight lines are parallel, a total of points or intersections can be drawn to draw their parts of the plane divided, and can check the number of clear part of the division; and the use of plane division of space, Is not so obvious.Simpler, such as several parallel planes or several collinear plane space partition problem can model demonstration or imagined to understand is also easier, but for those more complex problems, such as the intersection of two And the intersection of parallel and not coincide several planes, or a total of points and intersection lines do not coincide several plane division of space, not only the model is difficult to do, even the imagination is difficult.