排列组合应用题的几种解题思路

• 作 者: 冯月贞
• 机 构: 河北元氏师范学校 051130
• 出 处: 唐山师专学报
• 发表日期: 2004年期
• 关键词: 解题思路 排列组合 乘法原理 加法原理 组合数 计算公式 构造模型 数量关系 分析方法 有限集合

排列组合不仅是高中数学代数部分的重要内容,也是高等数学中概率论等内容的基础。由于其内容抽象,题型较多,解题思路独特等原因,中学生在学习该部分内容时往往感到困难。下面介绍几种解排列组合应用题常见的分析方法及解题思路。 1 紧依原理,化难为易 加法原理和乘法原理是贯穿整个排列组合内容的一条主线,它们不仅是推导排列数与组合数计算公式的基础,而且直接应用它解决某些应用题更为简捷。

Permutation and combination is not only an important part of high school mathematics algebra, but also the basis of probabilistic theory in advanced mathematics. Because of its abstract content, more questions, unique problem solving ideas and other reasons, high school students often feel difficult to learn the part. Here are some common solutions to solve the combination of application problems and problem solving ideas. A tight principle, the difficulty is easy to add the principle of multiplication and multiplication principle is arranged through the entire arrangement of a main line, they are not only the basis for deriving the arrangement number and the combination of the number of formulas, and direct application of it to solve some problems more simple.