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纵观2011年全国各地的中考试题,我们可以看到命题者在对学生分析问题和解决问题的能力的考查中,题型的设计有不少创新和改革.江苏省盐城市的一道压轴题,构思由浅入深,由情境观察到问题探究、再到拓展延伸,三个层次泾渭分明.此题以三角形的三边向外作等腰直角三角形、矩形等为载体,以全等三角形、相似三角形的证明为本题的解题切入点,重点考查考生数学基本知识、基本技能、数学思想与方法的掌握情况,是对数学活动经验高一层次的体验,考查了学生的观察、类比、联想、归纳等逻辑思维能力,以及分析问题和解决问题的综合能力.由于问题的层层深入,不同程度的考生所解答的层次不同,具有一定的区分度,因此,它是2011年中考
Throughout the 2011 exam questions throughout the country, we can see that the proponents in the analysis of students’ problems and problem solving skills, there are a lot of problems in the design of innovation and reform.An article in Yancheng, Jiangsu Province, The idea is from the shallower to the deepest, from the situational observation to the question inquiry, and then to the extension and extension, and the three levels are distinctly divided.This topic takes the isosceles triangle outwards and the rectangle as the carrier to the outside of the triangle, with congruent triangles, similar triangles Prove that the problem-solving entry point for this issue, focusing on examining the students basic knowledge of mathematics, basic skills, mathematical ideas and methods to grasp the experience of mathematics activities one level of experience, examining the students’ observations, analogies, associations, inductive Logical thinking ability, as well as the ability to analyze and solve problems due to the depth of the problem, different levels of candidates answer different levels, with a certain degree of differentiation, therefore, it is the 2011 mid-term test