向量法是将几何问题代数化,用代数的方法研究和解决几何问题.由于向量法是将空间元素的位置关系转化为数量关系,将形式逻辑证明转化为数值计算,因此用向量解题有时不仅不会增加解题难度,相反在一定程度上还能降低思维强度,增强可操作性.这对于丰富学生的思维结构,消除学生由于学习立体几何而产生的心理压力,培养学生从 The vector method is to algebraize geometric problems and use algebraic methods to study and solve geometric problems. Because the vector method transforms the positional relationship of spatial elements into quantitative relationships and converts formal logic proofs into numerical calculations, solving problems with vectors is sometimes not only It does not increase the difficulty of solving problems. On the contrary, it can also reduce the intensity of thinking and enhance operability to a certain extent. This enriches students’ thinking structure and eliminates the psychological stress caused by students’ learning of solid geometry, and helps them develop