科教导刊
科教導刊
과교도간
THE GUIDE OF SCIENCE & EDUCATION
2014年
18期
24-25,49
,共3页
线性代数%反例构造%定义%定理
線性代數%反例構造%定義%定理
선성대수%반례구조%정의%정리
linear algebra%counterexample construction%definition%theorem
针对降低线性代数学习难度的问题，文章提出在学习线性代数过程中灵活构造反例以解决问题的思路。通过文献研究法和经验总结法，讨论线性代数中适合运用反证法研究的定义和定理等问题，结合实例指出如何在学习线性代数过程中合理构造反例以理解和掌握理论本质。分析发现，构造反例可为定义的理解、定理的掌握和命题的正误判断提供简捷的思路，提高学习效率。
針對降低線性代數學習難度的問題，文章提齣在學習線性代數過程中靈活構造反例以解決問題的思路。通過文獻研究法和經驗總結法，討論線性代數中適閤運用反證法研究的定義和定理等問題，結閤實例指齣如何在學習線性代數過程中閤理構造反例以理解和掌握理論本質。分析髮現，構造反例可為定義的理解、定理的掌握和命題的正誤判斷提供簡捷的思路，提高學習效率。
침대강저선성대수학습난도적문제，문장제출재학습선성대수과정중령활구조반례이해결문제적사로。통과문헌연구법화경험총결법，토론선성대수중괄합운용반증법연구적정의화정리등문제，결합실례지출여하재학습선성대수과정중합리구조반례이리해화장악이론본질。분석발현，구조반례가위정의적리해、정리적장악화명제적정오판단제공간첩적사로，제고학습효솔。
Reduce the learning curve for linear algebra problems raised in the learning process of flexible linear algebra con-structed counter-examples to solve those problems. Through literature research methods and lessons learned, discuss appro-priate use of reductio ad absurdum linear algebra study issues such as definitions and theorems, with examples indicate how reasonable construct counter-examples in the learning process of linear algebra theory to understand and grasp the essence. Analysis, counter-examples can be constructed for the understanding of the definition, theorems and propositions are false master judge offers simple ideas to improve learning efficiency.
