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排列组合是高中数学的重要内容,新教材中概率与统计的增加更突出了排列组合的重要性。高考对排列组合的考察以两个基本原理——分类计数原理和分步计数原理为出发点,侧重检测解题思想和解题技巧,因而对解题策略和思维模式的培养和提炼是平时训练的核心。本文就排列组合题的求解方法作一归纳总结,以揭示这类问题的求解规律。1.特殊优先法:特殊元素,优先处理;特殊位置,优先考虑。对于有附加条件的排列组合问题,一般采用:
Permutation and combination is an important part of high school mathematics. The increase of probability and statistics in the new teaching text even emphasizes the importance of permutation and combination. Entrance examination of the combination of the two basic principles - the principle of classification and counting and counting principle step by step as the starting point, focusing on the detection of problem-solving ideas and problem-solving skills, and thus problem-solving strategies and training and refining mode of thinking is the usual training core. This article summarizes the methods of solving the permutation and combination problems to reveal the law of solving such problems. 1. Special priority method: special elements, priority treatment; special location, give priority to. For the arrangement of the combination of additional conditions, the general use of: