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1、函数与极限（Functionandlimit）Chapter1functionandlimitTeachingpurpose:1,understandtheconceptoffunction,graspthefunctionoftheexpressionmethod,andwillestablishasimpleapplicationoftheproblemoffunctionalrelations.2.Understandingtheparity,monotonicity,periodicityandboundedn
2、essoffunctions.3.Understandtheconceptofcompositefunctionandpiecewisefunction,andunderstandtheconceptsofinversefunctionandimplicitfunction.4.Masterthepropertiesandgraphsofelementaryelementaryfunctions.5.Understandtheconceptoflimit,understandtheconceptoftheleftlim
3、itandtherightlimitofthefunction,andtherelationshipbetweenthelimitexistenceandtheleftandrightlimits.6.Graspthenatureoflimitandfourarithmeticrules.7,understandthelimitexistenceoftwocriteria,andwillusethemtoseekthelimit,mastertheuseoftwoimportantlimitstolimitthemet
4、hod.8,understandtheconceptofinfinitesimal,infinite,grasptheinfinitesimalmethodofcomparison,willusetheequivalentinfinitesimallimit.9.Understandingtheconceptoffunctioncontinuity(includingleftcontinuityandrightcontinuity)willjudgethetypeoffunctiondiscontinuitypoint
5、.10.Understandthepropertiesofcontinuousfunctionsandthecontinuityofelementaryfunctions,understandthepropertiesofcontinuousfunctionsonclosedintervals(boundedness,maximumandminimumtheorems,intermediatevaluetheorems),andapplytheseproperties.Teachingemphasis:1.Thecon
6、ceptofcompositefunctionandpiecewisefunction;2.Propertiesandgraphsofbasicelementaryfunctions;3.Thenatureoflimitconceptlimitandfourarithmeticrules;4andtwoimportantlimits;Thecomparisonbetween5,infinitesimalandinfinitesimal;6.Continuityoffunctionsandcontinuityofelem
7、entaryfunctions;7.Thepropertiesofcontinuousfunctionsontheinterval.Teachingdifficulties:1.Theestablishmentandpropertiesofpiecewisefunction;2、theconceptofleftlimitandrightlimitanditsapplication;3,theapplicationoftwocriteriaoflimitexistence;4、breakpointanditsclassi
8、fication;5.Applicationofthepropertiesofcontinuousfunctiononclosedinterval.Section1.1mappingandfunctionOne,setThetotalof1.thingsthatdefineaparticularpropertyiscalledas
