猜想是一种高层次的思维活动,是数学发现过程中的一种创造性思维。近年的中考中创新试题越来越多,一些既不超越数学教学大纲,又不拘泥于大纲的探索规律的试题频频出现在各地的中考试卷中。这类题旨在培养同学们收集和处理信息的能力及创新思维习惯,通过猜想、探索获取新知识的能力,分析和解决问题的意识及能力。 Conjecture is a high-level thinking activity and a creative thinking in the process of mathematical discovery. In recent years, there have been more and more innovative test questions in the middle school entrance examination, and some questions that do not go beyond the mathematical syllabus and are not rigidly adhered to the syllabus of the exploration law have frequently appeared in the middle school test papers. Such questions are designed to cultivate students’ abilities to collect and process information and creative thinking habits. Through guessing and exploring the ability to acquire new knowledge, they can analyze and solve problem awareness and abilities.