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来源:百度知道 编辑:UC知道 时间:2024/05/09 04:25:48
分类思想作为一种重要的数学思想,同时作为一种重要的解题策略,在数学研究和数学学习中具有重要的应用价值。它体现了化整为零、积零为整的思想。首先,本文介绍了分类思想应遵循的原则、分类讨论法的常规方法和分类讨论方法的一般步骤,了解分类思想方法才能更好的去应用它。接着,本文着重介绍了分类思想在集合问题、含参数问题、排列组合问题中的应用。最后,本文用辩证的思想,从正反两个方面介绍了分类思想在一些特殊题目中的巧用以及分类思想的局限性。

Categories thinking as an important mathematical thinking, as an important problem-solving strategies, in the study of mathematics and mathematical study has important value. It reflects the split-up, the plot is for the whole thinking. First, it introduces the idea classification should follow the principle of Classification Act discuss conventional methods and classification methods discussed the general steps Classification of thinking can understand better the application of it. Then, the paper highlights the collective thinking of the classification, with parameters and permutations of the problem. Finally, we apply the dialectical thinking, from both positive and negative thinking on the classification of some special topics in the Classification Using ideas and limitations.