文[1]从图形扩展及数学归纳法等角度,对2009湖南高考第15题作了一定的分析,笔者总感觉缺乏本质的讨论,本文试从讨论该数阵的性质来解决本质,供同行参考.为了讨论方便,先看原题:2009湖南省理科第15题:将正△ABC分割成n2(n≥2,n∈N)个全等的小正三角形(图1,图2分别给出了n=2,3的 The article [1] made a certain analysis on the 15th item of the 2009 Hunan College Entrance Exam from the angles of graphic expansion and mathematical induction. The writer always feels lack of essential discussion. This article tries to solve the nature of the number array to solve the essence for the peers. Reference. For discussion, look at the original question: 2009 Hunan Provincial Science Question 15: Divide positive △ ABC into n2 (n ≥ 2, n ∈ N) congruent small positive triangles (Figure 1, Figure 2 respectively Out of n=2,3