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“鸡兔同笼”问题是我国民间广为流传的数学趣题,最早出现在《孙子算经》中。这一经典问题蕴涵丰厚的数学思想方法,解决该问题的方法有画图法、列表法、假设置换法、金鸡独立法、假设去脚法、鸡翅变脚法、方程法等,其中对应的教学思想有数形结合思想、化归思想、分类思想、函数思想、代换思想、代数思想、模型思想等。不同版本的小学教材,对该内容的要求和侧重体现的数学思想不
The problem of “chicken and rabbit with cage” is a widely circulated math problem in our country. It first appeared in “The Book of Sun Tzu”. This classical problem contains rich mathematical thinking methods. The methods of solving this problem include drawing method, list method, hypothesis replacement method, independent rooster method, hypothesis-to-foot method, chicken wings changing method, equation method, etc., among which the corresponding teaching ideas Form combination of thinking, return to thinking, classification, function, substitution, algebra, model thinking. Different versions of primary school textbooks, the content of the requirements and emphasis on the mathematical thinking embodied not