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高中数学课本建构的解析几何体系以坐标法为核心,以“直线与圆一圆与方程一圆锥曲线与方程一极坐标系与参数方程”为顺序,螺旋上升,循序渐近地展开内容,教材中始终贯穿坐标法,突出了坐标法的核心地位,强调了数形结合的思想方法.但是,在高三复习课中,如何让学生领悟好坐标法的本质,能灵活应用坐标法的思想来解决问题,真正发展学生的能力呢?这是摆在一线教师面前的非常紧迫而有实际意义的课题.
The analytical geometry system constructed by high school mathematics textbooks takes the coordinate method as the core, spirals up in the order of “a straight line and a circle and the equation one conic curve and the equation one polar coordinate system and parametric equations”, and gradually expands the content. The teaching method has always run through the coordinate method, highlighting the core position of the coordinate method, and emphasizing the idea of number and shape combination. However, in the third grade review class, how to allow students to comprehend the essence of the coordinate method and to be able to flexibly use the idea of coordinate method To solve the problem and truly develop students’ abilities? This is a very pressing and practical issue that faces the frontline teachers.