排列组合及其应用探究摘要 排列组合在很多领域都有着广泛的应用,它是组合学最基本的概念，也是高考必考内容之一，在中学阶段的学习中，它在解题中大大简化了计算的过程。但这一知识点与其他章节的联系不大，一道题目往往有多个解法，学生在学习这方面内容时会比较困难。本文以高考和数学联赛真题为例，通过例题对排列组合在数学学科以及实际生活中的一些应用进行分析解答，帮助学生形成严密的数学思维，培养学生联系实际解决问题的能力，最后结合课程标准的要求，对教师的教学提出一些建议。关键词 排列 组合 应用 中学数学Reserch on permutation and combination and its applicationAbstract Permutation and combination are widely used in many fields. It is the most basic concept of combinatorics, and it is also one of the content of the college entrance examination. In the middle school stage of learning, it greatly simplifies the calculation process in solving problems. However, this knowledge is not related to other chapters. There are many solutions to a problem, so it is difficult for students to learn this aspect. This paper takes the real problems of college entrance examination and mathematics league as examples to analyze and solve some applications of permutation and combination in mathematics subjects and real life, so as to help students form a rigorous mathematical thinking, cultivate students' ability to solve problems in connection with the actual situation, and finally put forward some suggestions for teachers' teaching combined with the requirements of curriculum standards.Key words Permutation Combination Application Middle School Mathematics目 录引 言..........................................................................................................................................................11 研究概述...........................................................................................................................
