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著名数学家华罗庚曾说过:“数形结合百般好,割裂分家万事休.数形结合,数是基础,是关键,既要以形助数,又要以数定形.”以形助数,是用数形结合思想解决代数问题的一个重要方面.对于一个代数问题,考虑它的结构和形式,通过联想、观察、分析,准确画出相对应的图形,建立起数形对应,实现数形转化,就会将复杂问题简单化、明朗化,抽象问题形象化、具体化,优化解题过程.
Hua Luogeng, a famous mathematician, once said: “The perfect combination of numbers and forms and the separation of all kinds of things break off.” The combination of number and form, the number is the foundation, is the key. As an algebra problem, considering its structure and form, associating, observing, analyzing and accurately drawing the corresponding graph, it establishes the corresponding relation of number and shape, The realization of digital transformation, it will simplify the complex problems, clarify the abstract image of the visualization, specific, optimization problem-solving process.