海南省2012年中考数学第23题的第(3)小题,属较难类型的题目,综合初中几何的主干知识——三角形、四边形与图形的变换,渗透“数学建模、化归与数形结合”等重要数学思想,不乏基础知识与基本方法却又蕴含较高的思维含量,考查学生对核心数学知识与思想方法的深层次掌握和理解,考查学生思考、转化与解决问题的能力.一、考题呈现 Hainan Province in 2012 twenty-third of the entrance exam math problem (3), is a more difficult type of topic, the basic knowledge of junior high school geometry - triangular, quadrilateral and graphics transformation, infiltration, mathematical modeling, Digital combination "and other important mathematical ideas, there is no lack of basic knowledge and basic methods but also contains a high level of thinking content, examine the students of the core mathematical knowledge and methods of thinking and deep grasp and understanding of students thinking, transformation and problem solving First, the exam presented