向量是既有长度又有方向的量,是连接代数与几何的“桥梁”.向量作为工具,应用十分广泛,尤其是在解析几何问题中,简直无往而不利.利用向量的大小,可以帮助我们求距离;利用向量的方向,可以帮助我们求角;向量的坐标形式,可以和解析几何方法“无缝对接”.本文试举几例说明利用向量工具解决解析几何问题的优点.一、向量方向及夹角的作用向量的方向可以用来表示直线的方向, Vector is both length and direction, and is a bridge that connects algebra and geometry. As a tool, vector is widely used, especially in the analysis of geometric problems, it is easy and convenient.Using the size of vector, Can help us find the distance; the direction of the vector can help us to find the angle; the coordinate form of the vector can be “seamlessly interlinked” with the analytic geometry method.This article gives a few examples to illustrate the advantages of using vector tools to solve the problem of analytic geometry First, the role of the vector direction and angle The direction of the vector can be used to indicate the direction of the line,