论文部分内容阅读
合情推理是以学生已有的知识和经验为基础,在某种情境和过程中推出可能性结论的推理形式.作为一种推理思想,它已经合情地渗透到代数式、方程、函数及概率与统计等数学体系中,使得推理具备了前所未有的内涵.同时它也讲究通过观察、实验、归纳、类比等数学过程来获得数学猜想,并讲一步寻求证据、给出证明和举出反例.本文结合了合情推理思想的中考试题,分类介绍它们的解答思路.一、包含决策思想的合情推理1如图,正方形ABCD的边CD在正方形ECGF的
Coincidence reasoning is based on the students’ existing knowledge and experience, and in some situations and processes, it introduces the reasoning form of a possible conclusion.As a kind of reasoning thought, it has affectively infiltrated algebraic equations, equations, functions and probabilities And statistics, it makes reasoning have unprecedented connotation, meanwhile, it also tries to get mathematical conjecture through observation, experiment, induction, analogy and other mathematical processes, and goes one step to seek evidence, give proof and give counter-examples. Combined with the reasoning of the middle school entrance examination questions, classification introduced their ideas.First, including the rational decision reasoning reason 1 As shown, the side of the square ABCD CD in the square ECGF