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数形结合是指通过数与形之间的对应转化来解决问题.数量关系如果借助于图形性质,可以使许多抽象概念和关系直观而形象,有利于解题途径的探求,这通常为以形助数;而有些涉及图形的问题如能转化为数量关系的研究,又可获得简捷而一般化的解法,即所谓的以数解形.数形结合的思想,其实质是将抽象的数学语言与直观的图形结合起来,使抽象思维和形象思维结合,通过对图形的认识、数形的转化,可以培养思维的灵活性、形象性.通过数形结合,可以使复杂问题简单化,抽象问题具体化.
The combination of numbers means that the problem is solved by the corresponding transformation between number and shape.With the help of the graphic nature, the quantitative relationship can make many abstract concepts and relationships intuitive and vivid, which is beneficial to the exploration of the solution path, And some help figures; and some problems involving graphics can be converted into a quantitative relationship between the study, but also to obtain a simple and general solution, the so-called number of solutions. Combination of mathematical ideas, its essence is the abstract mathematical language Combined with the intuitive graphics, the combination of abstract thinking and visual thinking can cultivate the flexibility and vividness of thinking through the understanding of graphics and the transformation of digital forms. By combining several forms, complex problems can be simplified and abstract problems can be solved Specific.