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在我们的课本、中考说明、试卷等资料中就出现了大量“探索规律”的问题,学会解决这类问题对同学们认识世界、了解世界,树立正确的世界观将起到重要作用。规律探索型问题:就是对材料信息的加工提炼和运用,从而得出数学概念和规律,或者将实际问题抽象为数学问题,建立数学模型的一类问题。规律的归纳和发现能反映出一个人应用数学、发展数学和进行数学创新的意识和能力。求解规律探索型问题要求学生有敏锐的观察力,能从特殊的情况出发,经过周密的思考,全面的分析,去推得一般的结论。这类试题意在检测解题者驾驭数学的创新意识和才能,因此,成为了这几年的热点内容。下面笔者谈谈遇到的找规律题和解题套路。
In our textbook, exam description, papers and other materials on the emergence of a large number of “to explore the law ”, learn to solve such problems for students to understand the world, understand the world and establish a correct world outlook will play an important role. Regular exploration of the type of problem: that is, the processing and refining of information processing and use of mathematics to get the concept and law, or abstract the actual problem as a mathematical problem, the establishment of a mathematical model of a class of problems. Law induction and discovery can reflect a person’s awareness and ability to apply mathematics, develop mathematics and carry out mathematical innovation. Solving the law Exploration-type problems require students to have keen observation, starting from a special situation, after careful thinking, a comprehensive analysis, to deduce the general conclusion. These questions are intended to detect the problem-solver mastery of mathematical innovation awareness and ability, therefore, has become a hot topic in recent years. Here I talk about the problems encountered to find a solution and problem solving routine.