高中数学里,向量是近几年新增加的内容,由于其具有代数和几何的双重特征,已经成为数形结合的完美典范.向量中的一些题目设计巧妙,内容丰富,是我们训练思维的好材料.本文对一道重要的向量试题给予多角度证明,并指出近两年来活跃在各种资料里的几道典型的变式题,以期对大家学习向 In high school mathematics, vector is a new addition in recent years. Because it has the dual characteristics of algebra and geometry, it has become a perfect example of the combination of numbers and shapes. Some of the questions in the vector are cleverly designed and rich in content, which is our training thinking. Materials. This paper gives an important proof of an important vector question, and points out several typical variants that have been active in various materials in the past two years in order to learn from everyone.