向量是解决许多数学问题的有力工具,既有大小又有方向,既有代数特征,又有几何特征,是数形结合的桥梁.通过向量可以实现代数问题与几何问题的互相转化,进而解决问题.现举例说明如下,供同学们参考.1求距离根据向量模的定义,有些距离问题可以转化为向量的模予以解决.图1例1如图1, Vector is a powerful tool to solve many mathematical problems, both in size and direction, both of algebraic features and geometric features, and is a bridge of number-shape combination.Variable vectors can be used to transform algebraic problems and geometric problems and solve problems . Now illustrate the following example, for the students reference .1 for distance According to the definition of vector mode, some distance problems can be converted into vector mode to be solved .Figure 1 Example 1 Figure 1,