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最值问题是一类特殊的数学问题,这类问题在数学上常常归结为求函数的最大值或最小值问题。本文笔者主要探讨利用数形结合思想解决最值问题。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,使数量关系的精确刻画与空间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,使问题化难为易、化繁为简,从而顺利解决。利用数形结合思想求最值的方法有以下几种。
The most value problem is a special kind of mathematical problem, which is often summed up mathematically to find the maximum or minimum of the function. In this paper, I mainly discuss the use of numerical combination of ideas to solve the most value problems. The combination of numbers is based on the internal relations between the conditions and conclusions of mathematical problems. It not only analyzes the significance of its algebra, but also reveals its geometric intuition, so that the precise characterization of quantitative relations and the intuitive images of spatial forms are ingeniously and harmoniously combined and fully Use of this combination, to find solutions to problems, make the problem difficult, easy to simplify, and thus successfully resolved. There are several ways to find the most value by using the idea of number and shape combination.