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数学家波利亚在解题著作《数学的发现》中提出了解题过程的几何图示法,这种方法是把寻找未知量(未知条件)和已知量(已知条件)间联系的过程(即解题)中每一步表示在四个不同的水平层次上:图象的水平;关系的水平;数学的水平;启发的水平.波利亚的几何图示法最早是在解一道初等立体几何问题时总结出来的,在立体几何问题中有广泛的应用.在大量解题练习中,我发现这种方法所反映的解题思维对很多其他问题同样有价值和启
Polya, a mathematician, put forward the geometric illustration of the problem-solving process in his book “The Discovery of Mathematics”. This method connects the search for unknown quantities (unknown conditions) and the known quantities (known conditions) Each step in the process (that is, problem solving) is represented at four different levels: the level of the image; the level of the relation; the level of the math; the level of inspiration. Polygamy’s geometric notation was first solved in elementary Stereoscopic geometric problems summed up in the three-dimensional geometry problems have a wide range of applications in a large number of problem-solving exercises, I found that this method reflects the problem-solving thinking on many other issues are equally valuable and Kai