二重极限有关的常见问题及适用求解策略  

Common problems and the usefull solving strategies concerning double limits

作　　者：王成强 WANG Cheng-qiang(School of Mathematics,Chengdu Normal University,Chengdu 611130,China)

机构地区：[1]成都师范学院数学学院

出　　处：《高师理科学刊》2019年第9期69-74,共6页Journal of Science of Teachers＇College and University

基　　金：国家自然科学基金项目(11701050,11571244);四川省教育厅项目(18ZB0098);成都师范学院校级培育项目(CS18ZD07);成都师范学院校级教改项目(2017JG13)

摘　　要：系统阐述“证否二重极限的存在性,用定义验证二重极限,计算二重极限,验证二元函数的连续性与可微性”这些与二重极限有关的4类常见问题.针对各类型问题,提出相应的解题策略,以期在二重极限的教学与学习方面带来更多思考.Explains systematically four common problems for double limit,these problems includes the disproof of the existence of the double limit,the proof of the double limit based on definition,the calculation of the double limit and the justification of the continuity and differentiability of binary functions.Designs correspondingly problem-solving strategies for each type of problem,with a desire to bring in more thinking in the direction of teaching and learning double limit.

关 键 词：大学数学 重极限 变式教学 

分 类 号：O171[理学—数学] G642.0[理学—基础数学]