在排列、组合和概率的内容中有一类重要题型.即“正方体”中的计数问题,解决这类题不仅涉及排列、组合、概率等知识,还涉及立体几何中的点线面的位置关系和计数的两个原理,将知识与方法有机地融为一体.因此,近年来以正方体为背景的试题在各省市的高考和竞赛中屡屡现身,本文采撷 There is an important type of questions in the content of permutations, combinations, and probabilities, namely, the counting problem in “cube”. Solving these problems involves not only the knowledge of permutation, combination, probability, but also the positional relationship of point and line planes in solid geometry And counting two principles, the knowledge and methods organically integrated.Therefore, in recent years to the cube as the background of the test questions in various provinces and cities entrance examination and competition often appear, this article pick