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初三数学教师,离不开找题,看题,解题。最近,在看这两年的数学中考试题时,偶然间发现2014年连云港数学中考试卷的第27题,此题是中考压轴题,难度较大,解题难点在于分析动点的运动轨迹,需要很好的空间想象能力和作图分析能力;此外本题还综合考查了二次函数、整式运算、四边形、中位线、相似、轴对称与勾股定理等众多知识点。此题是一道考查研究意识、创新意识和实践能力的好题。原题再现:某数学兴趣小组对线段上的动点问题进行探究,已知AB=8。问题思考:如图1,点P为线段AB上的一个动点,分别以AP、BP为边在
The first three math teachers, can not do without questions, see questions, solve problems. Recently, looking at these two years of mathematics exam questions, accidentally found that the 2014 Lianyungang mathematics exam papers in question 27, this question is a test of the finale, more difficult to solve the problem lies in the analysis of moving point trajectory needs Good spatial imagination and mapping analysis capabilities; In addition, this question also comprehensive examination of the quadratic function, integer arithmetic, quadrilateral, median line, similar, axioms and Pythagorean theorem and many other knowledge points. This question is a good test of research awareness, innovative awareness and practical ability. Reproduced the original title: A group of mathematical interest to explore the moving point on the line segment, known AB = 8. Problem thinking: As shown in Figure 1, point P is a moving point on the line segment AB, with AP and BP as the edges respectively