用向量求解析几何两个基本公式

Figure out Two Basic Formulae of Analytic Geometry with Vector

利用向量相等概念,只要已知起点、终点坐标即可求出向量的模,就可推证出两点间的距离公式;两向量相等,则与之对应的分量也相等,从而可利用代数方法求出定比分点公式。

With the concept of vector equality, if coordinates of starting point and terminal point are provided, both mold of vector and distance formula between two points can be worked out. Supposing two vectors are equal, so are the corresponding partial coordinates ; thus the formula of definite proportion and separated points can be figured out with algebraic method.