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恩格斯说“纯数学的对象是现实世界的空间形式和数量关系”.“数”和“形”是数学中两个最基本的概念,它们既是对立的,又是统一的,每一个几何图形中都蕴含着与它们的形状、大小、位置密切相关的数量关系;反之,数量关系又常常可以通过几何图形做出直观的反映和描述.数形结合的实质就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起来,实现抽象概念与具体形象的联系和转化,使数学问题化难为易,化抽象为直观.
Engels said that “the object of pure mathematics is the spatial form and quantity relationship of the real world.” “Number” and “shape” are the two most basic concepts in mathematics. They are both antagonistic and unitary, each in a geometrical pattern. All of them contain quantitative relationships that are closely related to their shape, size, and location. Conversely, the quantitative relationships can often be intuitively reflected and described by geometrical figures. The essence of the combination of numbers and shapes is to use abstract mathematical language and intuitive graphics. In combination, abstract thinking and image thinking are combined to realize the connection and transformation of abstract concepts and concrete images, making mathematics problems difficult and easy, and abstracts as intuitive.