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纵观近几年各地的高考立体几何题,基本都是以棱柱、棱锥或棱台为背景,既可用传统方法又能用向量方法解决。空间向量的引入为立体几何中的求角和距离以及证明平行和垂直的问题提供了简便、快速的解题途径和方法。它的实用性是传统方法所无法比拟的,因此在把握传统方法的基础上,要有意识甚至创造性地运用向量解决立体几何问题。
Looking at the three-dimensional geometric problems in college entrance examinations in recent years, basically based on prisms, pyramids, or prisms, it can be solved by both traditional methods and vector methods. The introduction of the space vector provides a simple and fast solution to problems and methods for finding angles and distances in solid geometry and for proving parallel and vertical problems. Its practicability is unmatched by traditional methods. Therefore, on the basis of grasping traditional methods, it is necessary to consciously and creatively use vectors to solve three-dimensional geometric problems.