一道中考平面几何题的解法赏析

Appreciation of the Solution to a Plane Ge-ometry Problem in the Middle School Entrance Examination

摘要: 平面几何内容是初中数学的重要组成部分，也是后续高中立体几何与解析几何的学习基础。中点问题是初中平面几何的一类比较重要的考查内容，本文利用中点构造全等、相似三角形等方法，梳理了2022年天津市中考平面几何题的八种解法，旨在让学生掌握这些方法的同时能够触类旁通，培养数学思维，提高核心素养。

Abstract: The content of plane geometry is an important component of junior high school mathematics, and it is also the foundation for subsequent learning of solid geometry and analytical geometry in senior high school. The midpoint problem is a relatively important examination content in middle school plane geometry. This article uses methods such as midpoint construction congruence and similar triangles to sort out eight solutions for plane geometry problems in the 2022 Tianjin high school entrance examination. The aim is to enable students to master these methods while also being able to touch the class, cultivate mathematical thinking, and improve core literacy.