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《2009年山东省普通高等教育专升本高等数学(公共课)考试要求文库（In 2009, the general higher mathematics (public course) examination of the general higher mathematics (public course&#..》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、2009年山东省普通高等教育专升本高等数学(公共课)考试要求文库（In2009,thegeneralhighermathematics(publiccourse)examinationofthegeneralhighermathematics(publiccourse)inshandongprovincerequiredthelibrary）TheTXTheartisahousewithtwobedrooms,onelivinginpainandonelivinginhappiness.Youcan'tlaughtooloud,oryou'llwakeupthepain
2、nextdoor.One,thefunction,thelimitandthecontinuous(1)function(1)tounderstandtheconceptoffunctions:thedefinitionoffunctions,therepresentationoffunctions,andpiecewisefunctions.(2)understandingandgraspingthesimplenatureoffunctions:monotonicity,parity,boundedness,periodicity.(3)understandthei
3、nversefunction:thefunctionoftheinversefunction.(4)masterthefouroperationsandcompoundoperationsofthefunction.(5)understandandmasterbasicelementaryfunctions:powerfunctions,exponentialfunctions,logarithmicfunctions,trigonometricfunctions,inversetrigonometricfunctions.(6)understandtheconcept
4、ofelementaryfunctions.(2)limit(1)tounderstandtheconceptofthelimitofthenumberofcolumns:thenumbercolumn,thedefinitionofthelimitoftheserieslimit,canbeusedtoanalyzethetrendofthefunctionaccordingtothelimitconcept.Wecantaketheleftlimitandtherightlimitofthefunctionatonepointandunderstandthesuff
5、icientandnecessaryconditionsfortheexistenceofthefunctionatonepoint.(2)understandthenatureofthelimitofthesequenceofNumbers:uniqueness,boundedness,fouroperationtheorems,thesqueezetheorem,monotoneboundedsequence,theexistencetheoremofthelimit,andthefouralgorithmsofthelimit.(3)understandtheco
6、nceptoflimitoffunctions:thedefinitionofthelimitofthefunction,thelimitoftheleftandrightlimits,andtherelationshipbetweenthelimitandthelimit,thelimitofthefunctionasxgoestoinfinity(xtoinfinity,xtoinfinity,xtominusinfinity).(4)thetheoremthatholdsthelimitofthefunction:uniquenesstheorem,squeeze
7、theorem,fourarithmetictheorem.(5)understandingofdimensionlessandinfinity:thedefinitionofdimensionlessandinfinity,therelationshipbetweendimensionlessandinfinity,thenatureofthedimensionlessandinfinity,thecomparisonoftwodimensionlessorder.(6)masterthemethodoftakingthelimitwi
