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普通高中课程标准实验教科书(数学)选修2-1第三章中安排了空间向量的内容,其中涉及利用空间向量解决线线垂直,线面平行,点线共面等问题,体现了利用向量法解决立体几何问题的优势.但教材对运用空间向量解决立体几何问题的规律和方法未作详细介绍.为了帮助广大师生能更好地用好空间向量,发挥其金钥匙的作用,本文以近几年全国各地的高考试题为例阐述其解题规律和方法,以期对高考复习有所帮助.一、证明直线与平面平行
The content of the space vector is arranged in the third chapter of the elective course 2-1 of the general high school curriculum standard elective. It involves the use of the space vector to solve the problems of vertical lines, parallel lines and coplanar lines, To solve the problem of three-dimensional geometric advantages.But teaching materials on the use of space vector to solve the problem of three-dimensional geometric rules and methods are not described in detail.In order to help teachers and students better use of space vector, to play its golden key role, National examination questions throughout the country as an example to explain the rules and methods of problem solving, in order to review the college entrance examination to help. First, prove that the line and plane parallel