CAJ | 학술논문

线性代数题目高度抽象、难度较大，因此提出运用反证法进行解题的思路。通过文献研究法和经验总结法，归纳发现线性代数中适合用反证法证明的题目可分为六大类，并结合典型实例指出如何在证明题中恰当地运用反证法及阐述了运用反证法的方便性和必要性。反证法的思维方式和证明方法不仅可解决从正面思考难以得证的题目，而且可提高逻辑思维能力和创新性思考能力。
선성대수제목고도추상、난도교대，인차제출운용반증법진행해제적사로。통과문헌연구법화경험총결법，귀납발현선성대수중괄합용반증법증명적제목가분위륙대류，병결합전형실례지출여하재증명제중흡당지운용반증법급천술료운용반증법적방편성화필요성。반증법적사유방식화증명방법불부가해결종정면사고난이득증적제목，이차가제고라집사유능력화창신성사고능력。
Linear algebra topics highly abstract, difficult, and therefore made use of reductio ad absurdum conduct problem-solving ideas. Through literature research and lessons learned, induction was found suitable for use in linear algebra required to prove that the subject can be divided into six categories, combined with typical examples indicate how the appropriate use of reductio ad absurdum, and elaborated in the proofs of the convenience and use of reductio ad absurdum necessity. Reductio ad absurdum of thinking and proven method proved difficult to think not only resolves the subject from the front, but also improve the ability of logical thinking and innovative thinking.