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数学学习常用的思考方法,是从特例的解答所提供的信息进行反思,思考例题的方法、技巧和解题的规范过程,探索出一类问题的一般规律.通过一般规律的探索,达到从根本上解决这些问题的方法,形成公式模型,然后运用模型解决一类问题.一、从实际问题中析出模型问题:甲、乙两列火车分别从A、B两地同时相向而行,相遇时,甲比乙多行20千米;相遇后,甲再行1小时36分钟到达B地,乙再行2小时30分钟到达A地,求A、B两地之间的距离.
The commonly used thinking method in mathematics learning is to reflect on the information provided by the solutions of the special cases and to consider the method and technique of the examples and the normative process of solving the problems so as to explore the general law of a kind of problems.through the exploration of the general laws, On the way to solve these problems, the formation of the formula model, and then use the model to solve a class of problems.First, from the actual problems in the model problem: A, B two trains respectively from A, B two at the same time, A more than 20-meter line B; meet, A and then 1 hour and 36 minutes to reach B, B and then 2 hours and 30 minutes to reach A, seeking A, B between the two distances.