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2013年无锡市数学中考试卷最后一题如下:下面给出的正多边形的边长都是20cm,请分别按下列要求设计一种剪拼方法(用虚线表示你的设计方案,把剪拼线段用粗黑实线,在图中标注出必要的符号和数据,并作简要说明).(1)将图1中的正方形纸片剪拼成一个底面是正方形的直四棱柱模型,使它的表面积与原正方形面积相等;(2)将图2中的正三角形纸片剪拼成一个底面是正三角形的直三棱柱模型,使它的表面积与原正三角形的面积相等;(3)将图3中的正五边形纸片剪拼成一个底面是正五边形的直五棱柱模型,使它的表面积与原正五边形的面积相等.
The final questions in the 2013 Wuxi City Mathematics Examination Paper are as follows: The regular polygons given below are all 20cm. Please design a method for cutting the spell according to the following requirements (use dotted lines to represent your design, Bold solid line, marked with the necessary symbols and figures in the figure, and a brief description.) (1) The square paper cut in Figure 1 is spliced into a square is a rectangular prism model, so that its surface area Equal to the area of the original square; (2) Cut the regular triangle paper in FIG. 2 into a straight triangular prism model whose bottom surface is an equilateral triangle and make its surface area equal to the area of the original regular triangle; (3) The regular pentagonal scrap of paper scraped into a bottom is a regular pentagonal pentagonal prism model, so that its surface area and the original regular pentagonal area equal.