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向量是数学中重要和基本的概念之一。它是沟通代数、几何与三角函数的一种有力工具,有着极其丰富的实际背景,蕴含极其丰富的数学思想方法。由于向量既有大小,又有方向,同时具有“数”的特征和“形”的性质,自进入中学数学教材以来,作为知识的交汇点一直备受关注,成为高考热点问题。由于高考向量题变化多,方法灵活,成为不少考生的难点。在解决向量问题时,若能恰当地利用向量的几何意义,
Vector is one of the most important and basic concepts in mathematics. It is a powerful tool to communicate algebra, geometry and trigonometry functions, has a very rich practical background, contains extremely rich mathematical thinking and methods. Since the vector has both the size and the direction, and has the characteristics of “number ” and “shape ”, since the entrance of mathematics textbooks in middle school, as a point of intersection of knowledge, it has been a hot topic of entrance examination. Due to changes in college entrance examination vector problems, flexible methods, many candidates become difficult. When solving vector problems, if we can make proper use of the geometric meaning of vectors,