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本文所述“半角旋转问题”是指,A角的大小和位置固定时,B角的顶点与A角的顶点重合,且数量是A角的一半,当B角绕公共顶点旋转时,所产生的几何问题.这些数学题的解决能够考察学生对全等、相似等基本知识技能的掌握,以及对转化、数形结合等数学思想的应用,所以半角旋转问题成为2016年中考中的热点.笔者撷取部分题目,分类作出分析,供各位读者参考.
In this paper, the “half-angle rotation problem” means that when the angle A is fixed in size and position, the vertex of angle B coincides with the angle of angle A and the number is half of angle A. When corner B rotates around the common vertex, The mathematical problems arising from these mathematical problems can examine students’ understanding of the basic knowledge and skills such as congruent and similar, as well as the application of mathematics such as transformation and combination of numbers and forms, so that the problem of half-angle rotation becomes a hot spot in the mid-term exam in 2016 The author retrieves some of the topics and makes analysis for classification so that readers can refer to it.