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图形与证明历来是“空间与图形”领域的学习重点,承载着培养与发展演绎推理能力的重大任务.笔者教授完苏科版《数学》九年级上册第一章“图形与证明(二)”第三节“菱形的性质”后,学生作业中出现问题,引发了我的思考.1呈现问题,分析原因已知:如图1,E,F分别是菱形ABCD对角线BD所在直线上两点,DE=BF,请你以F为一个端点,和图中已标明字母的某一点连成一条新的线段,猜想并证明它和图中已有的
Graphics and proving have always been the focus of learning in the field of “space and graphics”, and they carry the important task of cultivating and developing deductive reasoning abilities. The author taught the first edition of the Suko version of Mathematica, the first chapter of the book “Graphics and Proof.” b) After the “section III” nature of the rhombus, problems occurred in the student’s homework, which led to my thinking. 1 Presenting problems, analysis of reasons known: Figure 1, E, F are respectively diamonds ABCD diagonal Line BD is at two points on the straight line, DE=BF. Please use F as an end point to form a new line segment with a certain point in the figure marked with a letter. Conjecture and prove it and the existing one in the figure.