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向量是新教材改革增加的内容之一,近几年全国使用新教材的高考试题逐渐加大了对这部分内容的考查力度.由于向量特有的“神(坐标形式)形(几何形式)兼备”这一特征,使向量及其平行、垂直的充要条件都有其坐标表示形式和几何表示形式,加之向量的的数量积不仅是一个实数,而且与向量的夹角及其余弦值紧密相关,使它必然成为沟通数学各主要分支(解析几何,立体几何,三角函数,数列,不等式等知识),加强数学知识之间横向联系的重要的桥梁和纽带,决定了向量必然成为支撑数学学科学知识体系的重点
The vector is one of the new content of the reform of new textbooks, in recent years the use of new textbooks nationwide entrance exam questions gradually increased the content of this part of the test.As the vector-specific "god (coordinate form) form (geometry) both This feature, the vector and its parallel, vertical and necessary and sufficient conditions have their coordinate representation and geometric representation, combined with the vector of the number of products is not only a real number, but also with the angle between the vector and its cosine close , Making it inevitably an important bridge and link between the major branches of communication mathematics (such as analytic geometry, solid geometry, trigonometric function, sequence, inequality, etc.), strengthening the horizontal connection between mathematical knowledge, and determining that the vector inevitably becomes the support of mathematics The focus of scientific knowledge system