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由中考试题的解法也可以看出,数形结合法在解决与一次函数、二次函数、反比例函数有关问题时,往往是到事半功倍的作用。特别在二次函数的综合题中,数形结合法更加显示出“形”生动直观,以形助教,用数解形之功效。笔者在多年的数学教学实践中,曾就如何利用教形结合的思想解决二次函数的问题,引导学生做过较为深入的钻研。下面,笔者从其中几方面谈谈一些见解。
It can also be seen from the solution of the middle school entrance examination questions that the combination of numbers and forms is often a multiplier to solve problems related to the first order function, the second order function, and the inverse proportion function. Especially in the comprehensive function of quadratic function, the combination of number and form more shows “shape ” vivid and intuitive, in order to form a teaching, with the effect of numerical solution shape. The author in many years of mathematics teaching practice, had on how to use the idea of combining teaching to solve quadratic function problems, and guide students to do a more in-depth study. Here, I talk about some ideas from several aspects.