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有关平面图形面积计算的问题十分常见。在设计这类问题时,需要给线段的长度、图形的面积赋值,使之成为解决问题所需要的已知条件。很多设计者在赋值时往往只考虑学生是否能根据计算公式或数量关系求解,而忽视赋值的科学性。这种科学性可以理解为:以题目所包括的全部信息为整体,其内在逻辑关系、数量关系、位置关系等,必须是相容的,自洽的,不矛盾的。这里介绍的两道题,乍一看很平常,谈不上构思精巧。读者倘若了解这两道题的设计背景,尤其是所体现
The problem of calculating the area of the graphic area is very common. In designing such problems, the length of the line segment and the area of the graphic need to be assigned, making it a known condition needed to solve the problem. Many designers often only consider the assignment of the students can calculate according to the formula or the relationship between the number of solutions, ignoring the scientific assignment. This science can be understood as: the whole of the information included in the title as a whole, its internal logical relations, quantitative relations, positional relations, etc., must be compatible, self-consistent and non-contradictory. The two questions presented here are very common at first glance, but not elaborate. Readers if you understand the design background of these two questions, especially reflected