基于向量三角形法则下多边形构成的思考与探索

项东 沈燕

摘 要：数学学习在于思维训练。依次連接三角形顶点和对边中点的三中线向量可构成三角形，依次连接三角形顶点和对边上的点的向量什么情况下能构成三角形？这三角形与原三角形有何关系？四边形是否也有相似性质。

关键词：向量；向量三角形法则；三角形；空间四边形

Thinking and exploration of polygon formation based on vector triangle rule

XIANG Dong SHEN Yan

（Jiaxing University of Normal College Jiaxing 314200）

Abstract：Mathematics learning consists in thinking training.A triangle can be formed by conn-ecting three midline vectors that connect the vertices of a triangle to the midpoint of the opposite

side. Under what conditions can a triangle be formed by connecting the vertices of a triangle to th-e midpoint of the opposite side？How does this triangle relate to the original triangle triangle？Does the quadrilateral have similar properties.

Keywords：Vector； Vector triangle rule； Triangle； Space quadrilateral