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平面向量在中学教学中具有非常重要的作用,是中学数学知识网络的一个交汇点,它具有代数形式和几何形式的双重身份,能够融数形于一体,既具有代数的运算性质,又具有几何图形的特征,纵观近己几年的高考,在这种知识网络的交汇点设计有创新力度、综合性的试题已成为近几年高考的新热点。本文就平面向量在平面解析几何中的运用结合教学实践谈个人体会。在解运用平面向量解决直线和圆锥曲线的有关问题,可使问题的求解思路清晰、目标明确、运算简捷。
Plane vector plays a very important role in the teaching of middle school. It is a meeting point of the middle school mathematics knowledge network. It has the double identity of the algebraic form and the geometrical form. It can fuse numbers in one, with both the operational nature of algebra and the geometry. The characteristics of the graphs, taking a look at the college entrance examinations that have been in place for a few years, have created innovative and comprehensive test questions at the intersection of this knowledge network, which has become a new hot spot for the college entrance examination in recent years. This article discusses the personal experience of the use of plane vector in plane analytic geometry combined with teaching practice. The use of plane vectors to solve the problems associated with straight lines and conic curves can make the solution to the problems with clear thinking, clear goals, and simple operation.