为了解决平面上有关点、直线的位置关系和度量问题,引进了平面向量及其运算。而向量是形与数的高度统一,它集几何图形的直观与代数运算于一身,在几何证明中有着奇特的功效。利用向量法解决几何证明的一般步骤是:首先将题设和结论中的有关元素转化为向量形式,然后确定必要的基底向量,并用基底表示其他向量,最后借助于向 In order to solve the problem of the position, the position and the line of the plane, the plane vector and its operation are introduced. The vector is a high degree of unity of form and number, which integrates the intuition and algebra of geometry in a geometric proof has a peculiar effect. The general steps to solve the geometric proof by using vector method are as follows: Firstly, the relevant elements in the questions and conclusion are transformed into vector forms, then the necessary basis vectors are determined, and the other vectors are represented by the basis. Finally,