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1、1、(1)0.(2)(3)(4)..(5)26/32、(6)Therightpropositioninthefollowingpropositionsis___A_____.A.Ifexistsanddoesnotexistthendoesnotexist.B.If,dobothnotexistthendoesnotexist.C.Ifexistsanddoesnotexistthendoesnotexist.D.Ifexistsanddoesnotexistthendoesnotexist.(7)Therightpropositionint
2、hefollowingpropositionsis__B______.A.Ifthenexists.B.Ifthendoesnotexist.C.Ifdoesnotexistthen.D.Ifdoesnotexistthenthecuredoesnothavetangentat.(8)Therightstatementinthefollowingstatementsis___D_____.A.B.C.D.(9)Forcontinuousfunction,theerroneousexpressioninthefollowingexpressio
3、nsis____D__.A.B.C.D.(10)Therightpropositioninthefollowingpropositionsis__B______.A.Ifisdiscontinuousonthenisunboundedon.[第5页共5页]B.Ifisunboundedonthenisdiscontinuouson.C.Ifisboundedontheniscontinuouson.D.Ifhasabsoluteextremevaluesontheniscontinuouson.3、Evaluate(考点课本4.4节洛比达法则
4、,每年都会有一道求极限的解答题,大多数都是用洛比达法则去求解,所以大家要注意4.4节的内容。注意洛比达法则的适用范围。)4.Findandif.(考察微积分基本定理与微分,书上5.3节)5、Find=(凑微分求不定积分,积分是微积分的重点及难点,大家一定要掌握透彻。)[第5页共5页]6、Giventhat.(1)Findtheintervalsonwhichisincreasingordecreasing.WhenTherefore,theincreasingintervalis,thedecreasingintervalis(2)Findt
5、helocalmaximumandminimumvaluesofThefunctionisincreasingininterval,decreasingininterval,therefore,thefunctionexistthelocalminimumvalue,itis(3)Findtheintervalsofconcavityandtheinflectionpoints.Therefore,theconcaveupwardintervalare,,theconcavedownwardintervalare,andtheinflecti
6、onpointsare,(4)FindtheasymptotelinesofthecureTherefore,thelineisahorizontalasymptote(考点:4.3节,4.5、4.6节。近几年经常会考一道作图题。这种题目应该在注意的点主要包括函数的定义域,对称性,增减区间,极值点,凹凸性,拐点,以及渐近线等。大家参照课本的4.5节进行作图)7、LetRbetheregionboundedbythecurve,andthelineand.(a)EvaluatetheareaoftheregionR.R=[第5页共5页](b)F
7、indthevolumeofthesolidgeneratedbyrevolvingtheRaboutthey-axis.V=(考点:求面积以及体积,课本6.1、6.2节。这类题目是常考题,较简单。望同学一定要做相应的题目加以巩固。)8、Determinetheproductionlevelthatwillmaximizetheprofitforacompanywithcostanddemandfunctionsand.SolutionLetsincex>0,thenx=400Whenx=400Therefore,whentheproduct
8、ionlevelis400thatwillmaximizetheprofit35350(考点:经济函数,课本4.8节。此题型为常考题,属于送分题,大家可以做相应的4