“用二分法求方程的近似解”的教学思考

A Research into the Teaching of "Finding the Approximate Solution of the Equation with Dichotomy"

"用二分法求方程的近似解"是人教社新课标高中《数学》必修1(A版)新出现的内容。它充分体现了函数与方程之间的联系,同时也体现了算法思想,在算法设计中最关键的东西是理解算理。文章对"二分法"的算理作了深入讨论,分析并描述了二分法的流程,提出了"二分法"教学设计思路,丰富了高中数学新课程资源。

To find the approximate solution of the equation with dichotomy is the new content of the New Curriculum Standard Senior Mathematics （required course 1 Edition A）, which fully reflects the link between the equation and the function, as well as the thinking of algorithms. In the design of algorithms, the most critical is understanding the rationale for counting. The authors make an in-depth discussion for the rationale for counting of the “dichotomy”, analyze and describe the process of “dichotomy” , propose a teaching design of “dichotomy”, enrich the new curriculum resources of senior mathematics.