排列组合的应用题教学是“排列组合”这一单元的教学难点,也是中学数学教学中的一个难点。原因是:(1)难于分辨一个问题是排列问题还是属于组合问题,(2)对较多杂的应用问题,分析不全面,考虑不周到,以致答案或有遗漏,或有重复,尤其是有些问题中条件较隐晦,答数较大又不使用直观方法去检验。本文根据平时的教学 The application of permutations and combinations of teaching is a difficult teaching point in the unit of “arrangement and combination”, and it is also a difficulty in the teaching of middle school mathematics. The reasons are: (1) It is difficult to distinguish whether a problem is an alignment problem or a combination problem. (2) For more complex application problems, the analysis is not comprehensive and the considerations are not so thorough, so that the answers are either missing or duplicated, especially some The conditions in the question are more cryptic and the answers are larger without using an intuitive method to test. This article is based on the usual teaching