对于“零向量”,教材中仅给出了“长度为0的向量叫做零向量”的描述性定义,不少教师对此概念也是一带而过,不少学生也不深究.但是,简单的、朴素的结论和思想,往往反映事物的本质,因此朴素的想法常常能解决一些复杂的问题.本文介绍几个关于零向量的命题及应用.1命题(1)零向量方 For the “zero vector”, the textbook only gives a descriptive definition of “a vector of zero length called a zero vector.” Many teachers also pass this concept, and many students do not delve into it. However, simple, Simple conclusions and ideas often reflect the nature of things, so simple ideas can often solve some complex problems. This article introduces several propositions and applications of zero vectors. 1 Proposition (1) Zero vector square