三角板是学生最常用的学习工具,三角形则是初中数学最熟悉的几何图形.以三角板作为数学背景的中考试题贴近学生的学习环境,以三角板为载体,辅之以重叠、平移、旋转等变换手段构造的问题,蕴含着深厚的数学知识,能为学生提供动手实践操作设计的空间,能较好体现学生分析问题、解决问题的能力,培养学生的探究习惯和创新精神.本文就近年来中考试题中以三角板为背景材料的题为例,进行了分类解析.一、一个三角板在另一个三角板的中点旋转 Triangle is the most commonly used learning tool for students, and triangle is the geometry most familiar to junior high school mathematics. Middle exam questions with triangle board as a mathematical background are close to the student’s learning environment, with the triangle board as the carrier, supplemented by overlapping, translation, rotation and other transformation methods. The problem of construction contains profound knowledge of mathematics, which can provide students with hands-on practice and design space, better reflect students’ ability to analyze problems and solve problems, and cultivate students’ exploration habits and innovative spirit. Taking the triangle as a background material as an example, a classification analysis is performed. One, a triangle is rotated at the midpoint of the other triangle