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数形结合思想是初中数学中最基本的数学思想方法。数形结合就是根据数学问题的条件和结论之间的内在联系,既分析其代数意义,又揭示其几何直观,从而使数量关系的精确刻画和空间形式的直观形象巧妙的结合在一起,继而充分利用这种结合,是问题化难为易、化繁为简,然后轻松得到解决。通过对数形结合思想在初中数学数轴、平面直角坐标系、二次函数等实例应用中的探讨,发现此数学思想是可以把知识转化为能力的“桥”。
The combination of number and shape is the most basic mathematical thinking method in junior high school mathematics. The combination of numbers is based on the internal relations between the conditions and conclusions of mathematical problems, both the analysis of its algebraic significance, but also reveals its geometric intuition, so that the precise portrayal of the quantitative relationship with the visual form of spatial form clever combination, and then full The use of this combination is difficult to solve problems, simplify complex, and then easily be resolved. Through the discussion of the application of logarithmic conjunctions in mathematics axes, plane Cartesian coordinate system, quadratic function and so on in junior middle school, we find that this mathematical idea is a “bridge” that can transform knowledge into ability.