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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.Youca
2、n'tlaughtooloud,oryou'llwakeupthepainnextdoor.One,thefunction,thelimitandthecontinuous(1)function(1)tounderstandtheconceptoffunctions:thedefinitionoffunctions,therepresentationoffunctions,andpiecewisefunctions.(2)understandingandgraspingthesimplenatur
3、eoffunctions:monotonicity,parity,boundedness,periodicity.(3)understandtheinversefunction:thefunctionoftheinversefunction.(4)masterthefouroperationsandcompoundoperationsofthefunction.(5)understandandmasterbasicelementaryfunctions:powerfunctions,exponen
4、tialfunctions,logarithmicfunctions,trigonometricfunctions,inversetrigonometricfunctions.(6)understandtheconceptofelementaryfunctions.(2)limit(1)tounderstandtheconceptofthelimitofthenumberofcolumns:thenumbercolumn,thedefinitionofthelimitoftheserieslimi
5、t,canbeusedtoanalyzethetrendofthefunctionaccordingtothelimitconcept.Wecantaketheleftlimitandtherightlimitofthefunctionatonepointandunderstandthesufficientandnecessaryconditionsfortheexistenceofthefunctionatonepoint.(2)understandthenatureofthelimitofth
6、esequenceofNumbers:uniqueness,boundedness,fouroperationtheorems,thesqueezetheorem,monotoneboundedsequence,theexistencetheoremofthelimit,andthefouralgorithmsofthelimit.(3)understandtheconceptoflimitoffunctions:thedefinitionofthelimitofthefunction,theli
7、mitoftheleftandrightlimits,andtherelationshipbetweenthelimitandthelimit,thelimitofthefunctionasxgoestoinfinity(xtoinfinity,xtoinfinity,xtominusinfinity).(4)thetheoremthatholdsthelimitofthefunction:uniquenesstheorem,squeezetheorem,fourarithmetictheorem
8、.(5)understandingofdimensionlessandinfinity:thedefinitionofdimensionlessandinfinity,therelationshipbetweendimensionlessandinfinity,thenatureofthedimensionlessandinfinity,thecomparisonoftwodimensionlessorder.(6)masterthemethodoftakingthelimitwi
