平面向量是高中数学的新增内容,也是新高考的一个亮点．向量知识、向量观点在数学、物理等学科的很多分支有着广泛的应用,它具有代数形式和几何形式的“双重身份”,能融数形与一体,能与中学数学的许多主干知识综合,形成知识交汇点.而在高中数学体系中,解析几何占有着很重要的地位,有些问题用常规方法去解决往往运算比较繁杂,不妨运用向量作形与数的转化,则会大大简化过程． Plane vector is the new content of high school mathematics, and it is also a highlight of the new college entrance examination. Vector knowledge and vector viewpoints are widely used in many branches of mathematics, physics, and other disciplines. It has the “double identity” of algebraic form and geometric form, can integrate mathematical form and integration, and can be synthesized with many backbone knowledge of middle school mathematics. The intersection of knowledge. In the high school mathematics system, analytical geometry occupies a very important position. Some problems are solved by conventional methods. The calculations are often complicated. It may be a good idea to use vectors to transform shapes and numbers, which will greatly simplify the process.