四川文理学院学报
四川文理學院學報
사천문이학원학보
SICHUAN UNIVERSITY OF ARTS AND SCIENCE JOURNAL
2012年
5期
151-154
,共4页
数学归纳法%两个步骤%凑假设%凑结论
數學歸納法%兩箇步驟%湊假設%湊結論
수학귀납법%량개보취%주가설%주결론
mathematical induction%two steps%making hypothesis%inducing conclusion
数学归纳法是证明与正整数有关的等式、整除、不等式、二项式定理、数列等命题的一种重要方法．结合少数民族预科数学教学实践，针对学生学习数学归纳法的难点，分析其突破方法，导出用数学归纳法证明命题缺一不可的两个步骤．进而深化了对数学归纳法的认识，突破了数学归纳法的教学难点．
數學歸納法是證明與正整數有關的等式、整除、不等式、二項式定理、數列等命題的一種重要方法．結閤少數民族預科數學教學實踐，針對學生學習數學歸納法的難點，分析其突破方法，導齣用數學歸納法證明命題缺一不可的兩箇步驟．進而深化瞭對數學歸納法的認識，突破瞭數學歸納法的教學難點．
수학귀납법시증명여정정수유관적등식、정제、불등식、이항식정리、수렬등명제적일충중요방법．결합소수민족예과수학교학실천，침대학생학습수학귀납법적난점，분석기돌파방법，도출용수학귀납법증명명제결일불가적량개보취．진이심화료대수학귀납법적인식，돌파료수학귀납법적교학난점．
Mathematical induction is a very important method to prove a series of mathematical propositions such as equations, division, inequality, binomial theorem, trigonometric equation and sequences. Combining with teaching practice in ethnic prepar- atory mathematics and considering students＇ difficulties in studying mathematical induction, the author analyzes the solutions and deduces two identical steps when proving propositions by mathematical induction. The first step is to prove the recursive founda- tion and the second step is to prove the relationship of infinite inference. In the second step, it is essential to make hypothesis and induces conclusions. It is very helpful to get deep knowledge of mathematical induction and to break trough the teaching difficul- ties of mathematical induction
