本文是以中考压轴题为背景,采用数学探究教学方式,体现以学生为主体的数学课堂教学。通过发挥教师运筹帷幄主角向导的作用,引导学生敢于探究并积极主动参与教学,转变教师的教学方式和学生的学习方式,体会进行探究性学习的思想与方法及引发理性归纳和引申拓展的思维。 This article is based on the FSP axis problem as the background, the use of mathematical inquiry teaching methods, embodies the students as the main body of mathematics classroom teaching. By giving play to teachers ’guiding role in guiding strategists, guiding students to dare to explore and take the initiative to participate in teaching, changing the teaching methods of teachers and students’ learning styles, thinking and methods of exploratory learning, and thinking of inducing rational induction and extending.