论文部分内容阅读
向量进入立体几何,使学生建立空间想象能力,不再是学习立体几何的最大阻力。很多立体几何中的问题在向量的这一工具的参预下摆脱了纯几何推理,转换成简单的向量代数推理。角的问题是立体几何中的主要问题,是近年来高考数学命题中创新的一个显著特点,它以其较高的新颖性、开放性、探索性和创造性深受欢迎,用传统方法解决角的问题,需要经过找,作,证明及其计算。对学生接受带来一定的困难,若用向量方法处理,则思路简单,解法固定,操作简便,均可归纳为求两个向量的夹角。
Vector into the three-dimensional geometry, so that students create spatial imagination, is no longer the biggest obstacle to learning three-dimensional geometry. Many problems in solid geometry get rid of pure geometric reasoning with the help of this tool of vector and transform into simple vector algebraic reasoning. The problem of angle is the main problem in solid geometry. It is a notable feature of the innovation in mathematics proposition of college entrance examination in recent years. It is popular for its high novelty, openness, exploratoryness and creativity, and the traditional method to solve the problem of angle Problems, need to find, make, prove and calculate. Which brings some difficulties for students to accept. If using vector method to deal with, the idea is simple, the solution is fixed, and the operation is simple and convenient. All of them can be summarized as the angle between two vectors.