一道中考模拟试题,题干简洁,设计巧妙,思维含量较高,试题颇有难度,解题思路开阔,解法灵活多样.本文用五种思路、多种解法构造直角三角形、全等三角形、相似三角形、旋转模型、平面直角坐标系来帮助学生尝试构建基本模型、积累解题经验、促进数学发散思维能力的提升,逐步养成良好的解题思维习惯. A simulated test questions in the senior high school entrance examination, questions dry simple, cleverly designed, high thinking content, the test is quite difficult, the problem-solving ideas broaden the solution flexible and diverse.This paper uses five ideas, a variety of solutions to construct right triangle, congruent triangle, , Rotation model, Cartesian coordinate system to help students try to build a basic model, the accumulation of experience in solving problems, to promote mathematical thinking ability to improve divergence, and gradually develop a good problem-solving thinking habits.