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华罗庚先生曾指出:“数缺形时少直观,形少数时难入微;数形结合百般好,隔裂分家万事非。”数形结合是数学解题攻城拔寨的利刃,灵活应用“数”与“形”的转化,还能提高思维的灵活性和创造性。数与形是相互独立又互相渗透的,但如何培养数形结合能力呢?一、培养数形结合意识要让学生养成只要是分析解决数学问题就先画图的习惯。解决一个数学问题,习惯于画图,标注已知条件,也就相当于一场小规模战中有了一张“作战地图”。这
Mr. Hua Lugeng once pointed out: “When the number is missing, it is less intuitive, and when it is a small number, it is difficult to find out; the combination of numbers and shapes is as good as possible, and the cracking and splitting are all things.” The combination of numbers and shapes is the solution to the problem of siege and pull, and flexibility. Applying the transformation of “number” and “form” can also increase the flexibility and creativity of thinking. Numbers and shapes are mutually independent and infiltrate each other. However, how do we cultivate the ability to combine figures and forms? First, the idea of cultivating figures and forms in combination requires students to develop the habit of drawing pictures as long as they are analyzing mathematical problems. Solving a mathematical problem, accustomed to drawing, marking known conditions, it is equivalent to having a “operational map” in a small-scale battle. This