浅谈中学数列中的探索性问题

探索性问题是指问题的条件或结论不直接给出,需要通过观察、分析、分类、推理、化归、一般化、数形结合及猜想、证明等一系列的探索活动,逐步确定要求的结论或条件.这类问题不仅考查学生的探索能力,而且给学生提供了创新思维的空间.近几年高考中经常出现以数列为载体的探索性问题.本文从典型例题入手,讨论了中学数列中的四类探索性问题.

Talking about the Exploratory Problems of Progression in Middle School

Exploratory problem is defined as the condition or conclusion of problems which are not directly given and it is gradually determined by a series of exploration activities through observation,analysis and so on.This kind of problem is not only to examine student’s exploratory ability,but also to provide students with innovative thinking space.In recent years,the university entrance exam often takes the carrier of series based exploratory problem.In this paper,the four kinds of exploratory problems are talked about on Middle School Mathematics courses from the typical examples.