“综合与实践”是《义务教育数学课程标准》的一个特色,提供给学生一种实践性、探索性和研究性学习课程渠道。它以探究为主线,旨在培养学生分析问题和解决问题的能力。本文以新课标“综合与实践”提供的课例为依据,进行再实践、再探究。有一张8cm×8cm的正方形纸片,面积是64cm2。把这张纸片按图一所示剪开,把剪开的四个小块按图二重新拼合,这样就 “Comprehensive and Practical” is a characteristic of “compulsory education mathematics curriculum standard”, which provides students with a practical, exploratory and research learning curriculum. It is the main line of inquiry, designed to develop students’ ability to analyze and solve problems. In this paper, the new curriculum standard “comprehensive and practical ” to provide lessons based on the practice, and then explore. There is a 8cm × 8cm square paper, the area is 64cm2. Cut this piece of paper as shown in Figure 1 and re-split the cut four pieces into two pieces