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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（LibraryforHigherMathematics(publiccourse)examinationinShandonghighereducationin2009）In2009,ShandongProvinceordinaryhighereducationupgradedtohighermathematics(publiccourse)examinationrequestlibrary.Txtheartisatwobedroomh
2、ouse,alivingpain,alivinghappy.Peoplecan'tlaughtooloud,ortheywillwakeupthepainofthenextdoor.Function,limitandcontinuity(1)function(1)understandtheconceptoffunction:thedefinitionoffunction,therepresentationoffunction,thefunctionofsubsection.(2)understand
3、andgraspthesimplepropertiesoffunctions:monotonicity,parity,boundedness,periodicity.(3)understandinginversefunction:thedefinitionofinversefunctionandtheimageofinversefunction.(4)graspthefouroperationsandcompoundoperationsoffunction.(5)understandandmaste
4、rbasicelementaryfunctions:powerfunction,exponentialfunction,logarithmicfunction,trigonometricfunction,inversetrigonometricfunction.(6)understandingtheconceptofelementaryfunctions.(two)limit(1)understandtheconceptofsequencelimit:thedefinitionofsequencea
5、ndlimitofsequence,andanalyzethechangingtrendoffunctionaccordingtolimitconcept.Thenecessaryandsufficientconditionsfortheexistenceofthelimitofafunctionatapointareobtainedbyfindingtheleftandrightlimitsofafunctionatapoint.(2)understandthenatureofsequenceli
6、mit:uniqueness,boundedness,fouroperationstheorem,pinchingtheorem,monotoneboundedsequence,limitexistencetheorem,graspthelimitofthefourrulesofoperation.(3)understandtheconceptoflimitoffunction:thedefinitionoflimitatonepoint,therelationbetweentheleftandri
7、ghtlimitanditslimit,andthelimitoffunctionwhenxtendstoinfinity(x=x,x++,P=0).(4)thetheoremofthelimitoffunction:uniquenesstheorem,pinchingtheorem,andfouroperationstheorem.(5)theunderstandingofinfinitesimalandinfinitequantity:thedefinitionofinfinitesimalan
8、dinfinitequantity,therelationbetweeninfinitesimalandinfinitequantity,thepropertyofinfinitesimalandinfinitequantity,andthecomparisonoftwoinfinitesimalorder.(6)masterthemethodofcalculatingthelimitwithtwoimportantlimits.(three)continuous(1
