由于平面向量融数、形于一体,具有几何形式与代数形式的“双重身份”,使它成为中学数学知识的一个交汇点和联系多项内容的媒介.因此,向量的引入大大拓宽了解题的思路与方法,使它在研究其它许多问题时获得广泛的应用.利用平面向量这个工具解题,可以简捷、规范地处理数学中的许多问题.下面分类介绍向量的数量积在解代数题中的应用. Because of the fusion of plane vectors and shapes, the “dual identity” of geometric forms and algebraic forms makes it a meeting point for middle school mathematics knowledge and a medium for associating multiple contents. Therefore, the introduction of vectors greatly broadens the problem of understanding. The ideas and methods make it widely used in the study of many other problems. Using the tool of the plane vector to solve problems, you can deal with many problems in mathematics simply and standardly. The following describes the quantity product of vectors in solving algebraic problems. Applications.