一、问题的提出在(0,1)内任取三个实数a、b、c,则能使它们构成三角形的概率?二、问题的分析该问题属于几何概型的范畴.所谓的几何概型就是当事件A能理解为区域Ω的某一子区域A,事件A的概率只与其相对应的子区域A的几何度量(长度、面积或体积)成正比,而与A的位置和形状无关,则称满足以上条件的试验为几何概型.运用几 First, the question is asked to take any of the three real numbers a, b, and c in (0, 1) so that they form the probability of a triangle. Second, the analysis of the problem The problem belongs to the category of geometrical prototyping. The type is when the event A can be understood as a certain subarea A of the region Ω, the probability of the event A is only proportional to the geometric measure (length, area or volume) of the subregion A corresponding to it, irrespective of the position and shape of the A. The test that satisfies the above conditions is a geometrical model.