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三角形的三条中线的交点叫三角形的重心,由重心的定义可知它有如下性质:(1)连顶点与重心,其延长线必通过对边的中心;(2)中线必过重心;(2)重心到各边中点的距离等于该边中线的1/3,重心到顶点的距离等于该边中线的2/3;即重心到顶点的距离与重心到对边中点距离之比为2∶1;
The intersection of the three center lines of the triangle is called the center of gravity of the triangle. From the definition of center of gravity, it has the following properties: (1) Even the vertices and centers of gravity must extend through the center of the opposite edge; (2) The distance from the center of gravity to the middle of each side is equal to 1/3 of the centerline of the side, and the distance from the center of gravity to the top is equal to 2/3 of the centerline of the side. The ratio of the distance from the center of gravity to the top and the distance from the center of gravity to the middle of the opposite is 2: 1;