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随着新课标实施,中学数学的教学以及中考命题都在发生新的变化,考查学生的探索能力、创新能力以及发现问题和解决问题的能力已成为中考命题的热点.具有挑战性的图形方案设计问题正是具备了这些特点而成为中考中一道亮丽的风景.一、分割方案设计例1如图,Rt△ABC中,∠ACB=90°,∠CAB=30°,用圆规和直尺作图,用两种方法把它分成两个三角形,且要求其中一个三角形的等腰三角形.(保留作图痕迹,不要求写作法和证明)
With the implementation of the new curriculum standard, the teaching of middle school mathematics and the entrance examinations are undergoing new changes, examining students’ abilities to explore, innovate, find and solve problems has become a hot topic in the test. Design problems is to have these characteristics and become a beautiful scenery in the test. A partition scheme design example 1 As shown, Rt △ ABC, ∠ ACB = 90 °, ∠ CAB = 30 °, with compasses and rulers Figure, in two ways it is divided into two triangles, and one of the triangle isosceles triangle. (Keep traces of the plot, does not require writing and proof)