本文介绍笔者最近发现的两个有趣的几何结论.定理1若凸m边形内有互不相同且任意三点都不共线的n(n∈N*)个点,把这n个点再加上m边形的m个顶点共m+n个点作为顶点,连线组成互不重叠的小三角形,则一共可以组成的小三角形的个数为f(m,n)=m+2n-2.证明记凸m边形内有n个点时可构成满足 In this paper, we present two interesting geometric findings recently discovered by the author Theorem 1. If there are n (n∈N *) points in the convex m-polygon that are not the same with each other at any three points, (M, n) = m + 2n - m, the number of small triangles that can be formed by adding a total of m + m points of the m- 2. It is proved that there are n points in the convex m-shape to satisfy