求三棱锥体积既基础又富于变化,是高考的一个热点问题.关键是求底面积和高,其间融会了立体几何中的各种距离(点线距、点面距、线面距、面面距)的计算及其转化,思维密度大,灵活性强,难以驾驭.鉴此,可以结合一些典型的题目,努力从自己的“最近发展区”出发,分层次地进行自主学习与研究,从而在“已知区”与“未知区”之间达成沟通,最终形成求解体积的方法体系.现举一例说明之: Seeking the pyramid volume is both basic and full of changes, is a hot issue in the college entrance examination. The key is to find the bottom area and height, during which the integration of the various distances in the three-dimensional geometry (point line spacing, point spacing, line spacing, surface Face distance) calculation and conversion, thinking of a large, flexible and difficult to control .Therefore, we can combine some typical topics, from their own “recent development ” starting, the level of independent learning and Research, and thus in the “known area ” and “unknown area ” to reach a communication between the final solution to the volume of the formation of the system.A case study illustrates: