平面向量加法运算、减法运算、数乘运算、数量积等,既有几何意义又有代数意义.因此,在进行有关向量的运算时,将“数”与“形”有机地结合起来,有时数转化为形、有时是形转化为数,通过这种转化不仅可以产生结论,更重要的是有效地优化了运算过程,使结论既准又快地产生.一、借助共线向量,应用数形结合共线向量与共线时满足的基本关系式,正好是形与数的 There are geometric meanings and algebraic meanings in terms of addition of plane vectors, subtraction, multiplication, and quantity, etc. Therefore, combining “” with "form Up, sometimes the number into the shape, sometimes shaped into the number, through this transformation can not only produce conclusions, more importantly, effectively optimize the operation process, so that the conclusion both quasi-fast and produce. First, with the help of collinear vectors, The application of digital combination of collinear vectors and collinear to meet the basic relationship, just the form and number of