论文部分内容阅读
【背景】向量法可以将几何问题代数化,把位置关系转化为数量关系,将形式逻辑证明转化为数值计算,降低思维强度,增强可操作性,对消除学生由于学习立体几何而产生的心理压力具有重要意义。而现有教材中只给出了法向量这一概念,如何向学生介绍法向量,并能利用法向量来解决立体几何中的求角问题,本文对此作了一次尝试。【教学目标】(1)会求平面的法向量;(2)掌握用法向量求线面角、二面角大小的方法;(3)体会用向量方法解立几题的特点和优
【Background】 Vector method can be geometric problems algebra, the relationship between the number of relationships into the position, the logic of the formal logic is converted to numerical calculation, reduce thinking intensity, enhance maneuverability, to eliminate students due to learning three-dimensional geometry of psychological stress It is of great significance. However, the existing teaching materials only give the concept of normal vector, how to introduce normal vector to students, and can use normal vector to solve the problem of seeking angle in solid geometry. This article makes an attempt. 【Teaching Objective】 (1) Will seek the normal vector of plane; (2) Grasp the use of vector to find the line angle, the size of the dihedral angle; (3) Experience with the vector method to solve the characteristics of several questions and excellent