向量作为沟通“数”和“形”的重要工具,是现代数学中的基本概念之一.向量具有“几何形式”与“代数形式”的双重身份,既有明确的几何意义,又有像数那样的运算,是代数与几何的一个交汇点,是联系中学数学知识点的媒介.向量的命题体现了平面向量考查的三个层次,也显示了命题趋势:第一层次:主要考查向量的性质和运算法则,以及基本运算技能,理解其直观的几何意义,并能正确地进行运算.第二层次:主要考查向量的坐标表示,向 Vector is one of the basic concepts in modern mathematics as an important tool to communicate “number ” and “shape ”. Vector has the dual identity of “geometric form ” and “algebraic form ”, The geometric meanings, and the arithmetic like numbers, which is a meeting point of algebra and geometry, is the medium to contact the middle school mathematics knowledge points.The proposition of vector embodies the three levels of plane vector examination and also shows the trend of proposition: One level: The main test vector of the nature and algorithm, as well as basic computing skills to understand its intuitive geometric meaning, and can correctly operate.The second level: the main test vector coordinate representation, to