我们把网格线的交点称为结点,如果多边形的顶点都在结点上,则称这样的多边形为格点多边形(如图1).同时,我们将位于多边形内部的结点称为内点,位于多边形边上的结点称为外点.本文探究五个格点(凸)多边形(即矩形、平行四边形、三角形、四边形、五边形)的面积,这些格点多边形的内点数、边点数与其面积有什么关系?能否将这些格 We refer to the intersections of grid lines as nodes, and if the vertices of the polygons are on the nodes, we call them polygons (as shown in Figure 1). In the meantime, we will refer to the nodes inside the polygons as Point, the node located on the edge of the polygon is called the outer point.This paper explores the area of ​​the five lattice (convex) polygons (ie, rectangle, parallelogram, triangle, quadrilateral, pentagon) What is the relationship between edge points and their area?