人教B版教材必修4第二章平面向量基本定理一节中给出一道极有应用价值的例题,通过探究例题给出两个重要结论结论在解决向量相关问题时有着广泛而有效的应用,本文将继续探究结论在平面几何、立体几何中的重要应用.一、一道可贵的例题引例已知A,B是直线l上任意两点,O是l外一点,求证:对直线l上任意一点P,存在实数t,使OP关于基底{OA,OB}的分解式为OP=(1-t)OA+tOB.并且, The second chapter of the Basic Vector Theorem gives a very useful example of an example, and gives two important conclusions through inquiry examples. It has extensive and effective applications in solving vector-related problems. This article will continue to explore the important applications of the conclusions in plane geometry and solid geometry. A valuable example of a given example is known as A, B is any two points on the line l, O is a point outside the l, verify: any point on the line l P, there is a real number t such that the decomposition formula of the OP with respect to the basement {OA, OB} is OP=(1-t)OA+tOB.