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学生学习立体几何是从认识具体几何模型到抽象出空间点、线、面的关系,从而培养空间想象能力.而数学问题中许多图形和数量关系都与我们熟悉模型存在着某种联系.它引导我们以模型为依据,找出起关键作用的一些关系或数量,对比数学问题中题设条件,突出特性,设法对原图形补形、拼凑、构造、嵌入、转化为熟知的、形象的、直观的模型,利用其特征规律获取最优解.
Students learn solid geometry by recognizing specific geometric models and abstracting out the relationship between spatial points, lines, and surfaces, thereby fostering spatial imagination capabilities. Many mathematical and mathematical relationships are related to familiar models. Based on the model, we find out some relationships or quantities that play a key role, compare the conditions of the questions in mathematics problems, highlight the characteristics, and try to complement, compile, construct, embed, and translate the original graphics into familiar, visual, and intuitive forms. The model uses its characteristic law to obtain the optimal solution.