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立体几何主要研究空间图形的关系与度量,在中学数学中,其内容具有相对的独立性,是每年高考必考的重点内容,试题的特点往往是借助多面体或旋转体为依托,把论证和计算的几何问题寓于其间,带有一定的综合性,用以考查空间想象能力.空间想象能力是指对空间图形的处理能力,其中一种表现方式是对空间图形的分解与组合,即把复杂图形分解为简单图形,把简单图形合成复杂图形;把空间图形拆成平面图形,把平面图形合成空间图形.一、空间图形的分解与组合分解与组合是认识客观事物的辩证的思维方法。通过分解,可以仔细观察分析事物的各个部分,深入事物的本质,了解待处理问题内部的各种制约关系,从而
The three-dimensional geometry mainly studies the relationship and measurement of spatial graphics. In middle school mathematics, its content is relatively independent, and it is the key content of the annual entrance examination. The characteristics of the questions are often based on polyhedron or rotating body, and the argumentation and calculation are based on. The geometric problem lies in the middle of it, with a certain degree of comprehensiveness, to examine spatial imagination. Spatial imagination refers to the ability to process spatial graphics. One of the expressions is the decomposition and combination of spatial graphics, that is, the complex graphics. Decompose into simple graphics, the simple graphics synthesis of complex graphics; the spatial graphics into a flat figure, the plane graphics synthesis of spatial graphics. First, the decomposition and combination of spatial graphics decomposition and combination is a dialectical way of thinking to understand the objective things. Through decomposition, we can carefully observe and analyze various parts of things, go deep into the nature of things, and understand the various constraints within the problem to be dealt with.