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排列组合应用题中的分组分配问题,历来是高中数学课程的一个难点,同时也是近年高考的一个考试热点.它在各级模拟试题中频繁出现,在各类教辅资料中也屡见不鲜,因其具有灵活多变、综合性强的特点而成为学生学习中的一大难点.以下结合典型例题,从3个方面进行分析,旨在梳理题型规律共性,总结解题的策略方法.一、区分差异,识别类型本文将分组问题定义为:将n个不同元素分成m(m≤n)组,不考虑m组之间的次序而仅仅是元素数目的分组.如下面的例子.
It is always a difficult point in high school mathematics curriculum and a test hot spot in college entrance examination in recent years.It often appears in all kinds of simulated test questions and it is not uncommon in all kinds of supplementary materials With flexible and comprehensive characteristics and become a major difficulty in student learning.The following combination of typical examples, from three aspects of analysis, aimed at combing the commonness of the pattern of questions, summed up the problem-solving strategies and methods. Differences, Recognition Types In this paper, the problem of grouping is defined as the grouping of n different elements into m (m≤n) groups, regardless of the order between m and only the number of elements, as in the following example.