中文题名: | 竞赛数学中的组合问题解题研究 |
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保密级别: | 公开 |
论文语种: | 中文 |
学科代码: | 070101 |
学科专业: | |
学生类型: | 学士 |
学位: | 理学学士 |
学位年度: | 2017 |
学校: | 北京师范大学 |
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第一导师姓名: | |
第一导师单位: | |
提交日期: | 2017-05-30 |
答辩日期: | 2017-05-15 |
外文题名: | The Research on Problem-solving of combinatorial problems in Competition mathematics |
中文关键词: | Competition mathematics ; Combinatorial problem ; Problem-solving research |
中文摘要: |
组合问题在竞赛数学中占有着相当重要的地位,其解题不需要太多深奥复杂的知识背景却对学生的技巧性要求很高,被称为竞赛中的智力题。本文对组合问题的试题进行分析研究,首先将考察的题目类型分为组合计数问题、组合设计问题、组合最值问题三大类,再分别对这三类问题中的典型试题进行分析,探究更加简洁有效的解题策略,对其中考察的数学思想和技巧进行分析,最终结合试题分析以及笔者本科期间在中学的教育实习经验,给解题者提出一些合理的建议。
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外文摘要: |
The combination problem occupies a very important position in the competition mathematics, the problem does not need too much deep complex knowledge of the background of the skills of students who require a high skill, known as the puzzle in the contest. In this paper, the problem of combination of questions for analysis, First of all, the types of topics to be investigated are divided into three categories: combination counting problem, combination design problem, combined value problem, And then the three types of problems in the typical test questions, to explore a more concise and effective problem-solving strategy, to analyze the mathematical ideas and techniques, The final combination of test questions and the author during the secondary school education practice experience, give some reasonable advice to the problem-maker.
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参考文献总数: | 8 |
作者简介: | 无 |
插图总数: | 7 |
插表总数: | 2 |
馆藏号: | 本070101/17007 |
开放日期: | 2017-10-17 |