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数学的几何试题是一种将计算与平面证明融为一起的推断问题,真正体现了逻辑思维的运用。很多初中学生的逻辑思维能力不强,做题的过程推理不严密,时有“卡壳”现象,究其原因在于储存的几何知识欠缺。当几何试题中有圆图形出现时,更是底气不足,一个重要的原因就是对有圆的图形所涉及到的内涵和外延都是一知半解。不能够挖掘内涵,就找不到要素的对应关系;不能理顺外延,就排除不了试题设置的障碍。怎样才能做到充分认识几何试题中圆涉及到的内涵和外延呢?本文从2016年的江苏南通的一道中考试题说起,通过剖析试题让我们再次领略中考试题的风采,找寻其试题的奥秘所在。
Mathematical questions in mathematics is a kind of inference that combines computation and proof of plane, which truly embodies the application of logical thinking. Many junior high school students’ logical thinking ability is not strong, so the reasoning of the process is not rigorous, sometimes there is a phenomenon of “stuck” phenomenon. The reason lies in the lack of knowledge of the stored geometry. When there is a circle graph in the geometric examination questions, it is even more a lackluster. An important reason is that the connotation and the extension involved in a round figure are very little understood. Can not dig content, you can not find the correspondence between the elements; can not straighten out, you can not rule out obstacles to set the test. How can we fully understand the connotation and extension involved in the circle of geometric questions? Starting from a 2016 senior middle school entrance exam in Nantong, Jiangsu Province, by analyzing the examination questions, let us once again have a taste of the senior high school entrance exam questions and find the mysteries of the exam questions .