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笔者在教学中就发现,相当一部分学生用向量法求解二面角大小时,对于结果的处理相当随便,就是在猜结果的正负,换句话说,根本就不知道法向量的夹角与二面角的大小有何关系.本文将主要介绍二面角的两个半平面的法向量夹角与二面角的平面角的关系,在什么条件下相等,在什么条件下互补.一、相关概念及理解从一条直线出发的两个半平面所组成的图形叫做二面角.这条直线叫做二面角的棱.这两个半平面叫做二面角的面.二
The author found in teaching, a considerable number of students using the vector method to solve the dihedral size, the results of the treatment is quite arbitrary, that is, the results of the test positive and negative, in other words, do not know the angle between the normal vector and the second What is the relationship between the size of the face angle? This article will mainly introduce the dihedral angle of the two half-plane normal vector angle and the dihedral angle of the plane angle, under what conditions are equal, under what conditions complement each other. Concepts and Understandings The two half-planes that make up a straight line are called dihedrals, and this straight line is called the dihedral angle. The two half-planes are called dihedral planes.