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数形结合是每年高考常考查的重要数学思想之一,形是数的直观表现,数是形的精确反映。以数助形,可使抽象问题形象化;以数解形,可把复杂图形中的关系转化为数量关系来处理。深刻理解数形结合思想并合理应用,可以较好地优化解题思路。本文通过几个典型例子说明数形结合思想的应用。
The combination of number is one of the important mathematical ideas often examined in college entrance examination every year. The shape is the visual representation of number, and the number is the exact reflection of the shape. With the aid of numbers, the problem of abstracting can be visualized. With the number of solutions, the relations in complex figures can be transformed into quantitative relationships. Profound understanding of the combination of numbers and rational use of ideas, you can better optimize the problem solving ideas. In this paper, several typical examples illustrate the application of the idea of number and form combination.