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2015年泰州市中考数学试卷相较往年,简约清新的特征愈发明显,数学味更浓了,更多关注数学本质,较好地体现了新课程标准的理念.笔者就此试卷中第(2)问作一解法探究,并提出几点教学思考,供读者参考.一、试题呈现如图1,正方形ABCD的边长为8cm,E、F、G、H分别是边AB、BC、CD、DA上的动点,且AE=BF=CG=DH.(1)求证:四边形EFGH是正方形;
Compared with the previous years, the simple and fresh characteristics of the examination papers in Taizhou City in 2015 are more and more obvious, the mathematic taste is more concentrated, more attention to the nature of mathematics, which reflects the concept of the new curriculum standards well. Asking for a solution to explore, and put forward a few teaching thinking, for readers reference .Table 1 is presented in Figure 1, the side of the square ABCD is 8cm, E, F, G, H, respectively, side AB, BC, CD, DA On the moving point, and AE = BF = CG = DH (1) Verify: Quadrilateral EFGH is a square;