一、建模思想的形成1.创设情境,感知数学建模思想在实际教学中,先出示例题,让学生分析题中的数量关系,得出:6个小杯和1个大杯容量一共是720毫升;一个大杯的容量相当于3个小杯的容量。在此基础上,出示例题图,引导学生用画图初步感知:解决这个问题需要根据大杯容量与小杯容量之间的关系,进行一定的等量替换。接着,我向学生提出这样一个问题:如果这样的大杯和小杯有很多个,那么能用这种画图方法解决吗?答案是肯定的。我们只要抓住把两种量替换成一种量就可以 First, the formation of modeling ideas 1. Create situational awareness of mathematical modeling ideas In the actual teaching, the first sample questions, so that students analyze the relationship between the number of questions, drawn: 6 small cups and a large cup of capacity is a total of 720 ml; the capacity of a big cup is equivalent to the capacity of 3 small cups. On this basis, to produce sample diagrams to guide students to use the drawing of the initial perception: to solve this problem need to be based on the relationship between capacity and small cup capacity, the amount of replacement. Then, I asked the students such a question: If there are many such mugs and small cups, then this picture can be used to solve it? The answer is yes. As long as we can seize the two kinds of volume can be replaced by a quantity