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编拟应用题是每个敛学教师必备的基本功之一,也是任何“数学辞典”和详尽的“习题集”所无法替代的一种创造性劳动。怎样才能编出新颖、灵活、有趣的应用题呢?我觉得留心观察周围发生的事物,抓住某些典型事例的特征,进行数量分析,构思编题,是编拟应用题的重要途径。比如,正常行驶在同一线路上的公共汽车,每隔一个相同的时间 K 从起点站开出一辆。设平均车速为 V_1。倘若有人以匀速 V_2行进在此线路上,他必然每隔一个相同的时间 a 迎面遇见一辆公共汽车,
The preparation of application questions is one of the essential basic skills for every teacher who studies convergence. It is also a creative work irreplaceable by any “mathematical dictionary” and exhaustive “exercises”. How can we compile new, flexible and interesting application questions? I think it is important to formulate the application questions by carefully observing what is happening around us, grasping the characteristics of some typical cases, conducting quantitative analysis and formulating topics. For example, a bus traveling on the same route normally departs from the starting point every other hour at the same time. Set the average speed as V_1. If someone travels at this line at a constant speed of V_2, he must meet a bus one on the other at the same time a,