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数形结合是高中数学的重要思想方法之一.它的实质是把数量关系的精确刻划与几何图形的直观描述有机的结合起来,从而充分暴露问题的条件与结论之间的内在联系,通过对图形的处理,使抽象思维和形象思维相互联系,相互补充,相互转化,既能避免繁杂的计算和推理,又能考证结论是否完整,
The combination of number and shape is one of the important methods of thinking in high school mathematics. Its essence is to organically combine the accurate characterization of quantitative relationships with the intuitive description of geometric figures, thereby fully exposing the intrinsic link between the conditions and conclusions of the problem. The processing of graphics makes the abstract thinking and the image thinking interrelated, complement each other, and transform each other, which can avoid complicated calculations and inferences, and can verify whether the conclusions are complete or not.