学习立体几何时 ,有这样一道题 :“4个平面最多将空间分成几个部分 ?”这题若单凭空间想象 ,难度很大 .下面从点、线、面逐级划分关系来讨论 ,得出一般结论 .设 n个点将一条直线最多分成 an 份 ,则an =n +1.设 n条直线将一个平面最多分成 bn份 .因第 n条直线与前 n- 1条直线最? When learning three-dimensional geometry, there is such a question: “The four planes divide the space into a few parts at most?” This question is very difficult to imagine if it is based solely on space. The following points are divided from points, lines, and faces to discuss the relationship between the levels. General conclusion: Let n points divide a straight line into at most one an =n +1. Let n straight lines divide a plane into bn at most. Because the nth straight line is the closest to the n-1 straight line?