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向量是数学中的重要概念和工具,它广泛应用于生产实践和科学研究中.近年来,随着新课程标准的实施,立体几何中利用空间向量解决问题的思想得到了加强,向量法已成为解决立几问题最简捷、最基本的方法之一.一、利用向量求空间直线的夹角、线面角和二面角传统求空间角的方法主要是找到或作出所求的角,然后在所作的三角形中进行计算.一般来说,问题中作图会有一定难度,如果我们利用向量的数量积运算公式 cos
Vector is an important concept and tool in mathematics. It is widely used in production practice and scientific research. In recent years, with the implementation of new curriculum standards, the idea of using spatial vectors to solve problems in solid geometry has been strengthened, vector method has become One of the simplest and most basic methods to solve several problems is to solve the problem. First, use vectors to find the angles, line angles, and dihedral angles of the space. The traditional way to find the space angle is to find or make the requested angle, and then The calculations are made in the triangle. In general, there will be a certain degree of difficulty in the drawing of the problem, if we use the scalar product of the vector