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集合与简易逻辑是高中数学的基础,蕴含着丰富的数学思想方法.深入挖掘这些思想方法,可使解题思路更清晰,从更高的层次把握这类问题,领会数学思想方法的奇妙之处.一、数形结合思想对数学问题的条件和结论,既要分析其代数意义,又要揭示其图形的直观性,使数量关系的精确刻画与图形形式的直观形象巧妙、和谐地结合在一起,充分利用这种结合寻找解题思路可使问题化难为易、化繁为简.
Aggregation and simple logic are the foundation of high school mathematics, which contains a wealth of mathematical thinking methods. Digging these ideas and methods can make the problem-solving ideas clearer, grasp the problems from a higher level, and understand the wonders of mathematical ideas and methods I. Conditions and Conclusions of Mathematical Problems Combining Ideological and Mathematical Problems It is necessary to analyze not only the significance of algebra but also the intuition of the figures so that the precise portrayal of the quantitative relations and the visual images of the graphical forms are ingeniously and harmoniously combined , Make full use of this combination to find solutions to problems can make the problem difficult, easy to simplify.