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向量是近代教学中重要的数学概念之一,它既是代数研究的对象,也是几何研究的对象,自然地向量就是连接代数与几何的纽带,是把平面几何问题转化为代数问题的重要工具,有着极其丰富的实际背景,在数学学科和物理学科中都有着广泛的应用。新课改实施以来,笔者在与同行交流的过程中,得知教师普遍对高中新课标下编制的新教材把握不好,使用起来有点吃力。带着疑问和困惑,笔者对人教A版《数学4》(必修)“平面向量”这一章进行了分析,并提出一些思考,仅供参考,若有不当之处,敬请指教。
Vector is one of the important mathematical concepts in modern teaching. It is not only the object of algebraic research but also the object of geometric research. Natural vector is a link between algebra and geometry. It is an important tool to convert plane geometry problem into algebra problem. Extremely rich practical background, has a wide range of applications in mathematics and physics. Since the implementation of the new curriculum reform, in the process of communicating with peers, the author has learned that teachers generally find it hard to use the new teaching materials compiled under the new high school curriculum. With doubts and confusion, the author analyzes the chapter of “Mathematics 4” (compulsory) and “Plane Vector” which is taught by the teacher in A version, and puts forward some thoughts for reference only. If there are any discrepancies, please advise .