本文运用复数方法,先证明关于四边形重心的一个有趣性质,然后将这一性质推广至一般情形,并说明其应用.1　四边形重心的一个性质众所周知,将三角形的重心与三个顶点相连,分成的三个三角形的面积相等.对于凸四边形,将其重心与四个顶点相连,把四边形分成四个三角形(如图).一般 This article uses the complex method to first prove an interesting property about the center of gravity of a quadrilateral, and then generalizes this property to the general case, and explains its application. 1 A property of the center of gravity of a quadrilateral is well known. The center of gravity of a triangle is connected to three vertices and divided into The area of ​​the three triangles is equal. For a convex quadrilateral, connect its center of gravity to the four vertices and divide the quadrilateral into four triangles (pictured).