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河北省2002年中考数学第26题是一道有创新意义的好题,它由简单到复杂,由特殊到一般,考察了学生的联想与探索能力. 题目图形的操作过程(本题中4个矩形的水平方向的边长均为a,竖直方向的边长均为b): 在图1中,将线段A_1A_2向右平移1个单位到B_1B_2,得到封闭图形A_1A_2B_2B_1(即阴影部分); 在图2中,将折线A_1A_2A_3向右平移1个单位到B_1B_2B_3,得到封闭图形A_1A_2A_3B_3B_2B_1(即阴影部分).
The 2002 mathematics question in Hebei Province’s senior high school entrance examination is a good question with innovative meaning. It is simple to complex, from special to general, and it examines students’ ability of association and exploration. The operation process of the topic graphics (4 rectangles in this question) The side lengths in the horizontal direction are all a, and the vertical side lengths are b): In Fig. 1, the line segment A_1A_2 is shifted 1 unit to the right by B_1B_2, resulting in a closed graph A_1A_2B_2B_1 (ie, the shaded portion); In the process, the polyline A_1A_2A_3 is shifted 1 unit to the right by B_1B_2B_3 to get the closed graph A_1A_2A_3B_3B_2B_1 (ie, the shaded part).