平面向量作为一种基本的数学工具,既有用坐标表示,又有几何表示(即用有向线段表示),在不少数学问题求解中都有着极其重要的地位与作用。向量的坐标表示更容易接受和理解,但对向量的几何表示包括几何运算往往感到比较生疏,然而从平面向量的几何意义来看,若能合理地灵活地运用向量的加法、减法的平行四边形法则或三角形法则以及向量平行与垂直的充要条件,结合平面向量的基本定理等这些几何意义,在解决某些数学问题时往往也能起到避繁就简的效果。一巧用平面向量的几何表示法理解“按向量平 Plane vector as a basic mathematical tool, both in the coordinate representation, but also the geometric representation (ie, the use of directed segments), in many mathematical problems have a very important position and role. The coordinate representation of vectors is more acceptable and comprehensible, however, the geometrical representation of vectors often includes geometric operations. However, from the geometric meaning of plane vectors, if the addition of vectors is reasonably and flexibly applied, the parallelogram method of subtraction Or triangular law and the vector parallel and vertical necessary and sufficient conditions, combined with the basic theorem of planar vectors and other geometric meaning, in solving some mathematical problems can often play a simple effect to avoid complications. A clever use of flat vector geometric representation of understanding ”by vector flat