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普通高中课程标准指出:用空间向量处理立体几何问题,提供了新的视角.空间向量的引入,为解决三维空间中图形的位置关系与度量问题提供了一个十分有效的工具.其教学价值不仅在于缓解了传统综合法解决立体几何问题的难度,为推理论证和求角,求距离提供了程式化的算法,更重要的是对培养学生思维的简约性,提升基本技能,几何直观有很大的思维隐形价值.
The standard of high school curriculums points out that the use of space vector to deal with the problem of solid geometry provides a new perspective.The introduction of space vector provides a very effective tool to solve the problem of the relationship and measurement of the figure in the three dimensional space.The teaching value lies not only in Ease the difficulty of the traditional synthesis method to solve the three-dimensional geometry problem, provide a stylized algorithm for the reasoning demonstration, the seeking of the distance, and more importantly, to cultivate the students’ thinking simplicity, improve the basic skills, and have a great geometric intuition Invisible value of thinking.