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数形结合思想,其实质是根据题设条件和求解目标,将抽象的数学语言与直观的图形联系起来,发挥形象思维与抽象思维各自优势,然后利用图形的性质,数形的转化去解决问题,华罗庚先生指出:“数无形时不直观,形无数时难入微”。数与形是数学中不可分割的两个部分,数可准确地澄清形的模糊,形能直观地启迪数的运算,化数为形,则
The idea of number and shape combination is based on the condition of the title and the goal of the solution. It connects the abstract mathematics language with the intuitive figure, exerts the respective advantages of the image thinking and the abstract thinking, and then uses the nature of the figure and the transformation of the number form to solve the problem. Mr. Hua Lugeng pointed out: “When the number is invisible, it is not intuitive, and when it is innumerable, it is difficult to understand.” Numbers and shapes are two inseparable parts of mathematics. Numbers can accurately clarify the shape of the fuzzy, shape can intuitively enlighten the number of operations, the number is a shape, then