2015年电大《高等数学基础》期末考试模拟试题资料

电大高等数学基础模拟题一、单项选择题（本题共15分）1函数的图形关于（）对称2EXYA坐标原点B轴XC轴DY2在下列指定的变化过程中，（）是无穷小量AB01SINX1SINXCDLEX3设在可导，则（）XF0HFXFH2LIM00ABCD0F0XF4函数在区间内满足（）32XY4,A先单调上升再单调下降B单调上升C先单调下降再单调上升D单调下降5下列无穷积分收敛的是（）AB0DCOSX1DXCD103E6若，则（）CXFFXFABCFCD22二、填空题（本题共15分）1函数的定义域是XXY2LN2若函数，在处连续，则012KFXK3曲线在处的切线斜率是X,4函数的单调增加区间是YARCTN5若，则FSIDXF6XD2CO27三、计算题（每小题11分，共55分）1计算极限321SINLM1XX2设，求IYY3设是由方程确定的函数，求XXCOSE3YD4计算不定积分D1COS25计算定积分E1LNX四、应用题（本题15分）圆柱体上底的中心到下底的边沿的距离为L，问当底半径与高分别为多少时，圆柱体的体积最大答案一、单项选择题1A2A3C4B5D6C二、填空题1234562,1,E41,XSIN2三、计算题1解13SINLMSINL121XXXX2解3LN2SICOXY）（3解XYDXDCOS3EIN24解XX1SINDC25解由分部积分法得E1E1LLLNDX四、应用题解设圆柱体底半径为R,高为H，则圆柱体的体积驻点，HLHRV22,32HLVL3驻点唯一，由实际问题可知，当底半径，高时，圆柱体的体积最大LR36L3请您删除一下内容，O_O谢谢2015年中央电大期末复习考试小抄大全，电大期末考试必备小抄，电大考试必过小抄AFTEREARNINGHISSPURSINTHEKITCHENSOFTHEWESTIN,THESHERATON,SENSONTHEBUND,ANDASPRINKLINGOFOTHERTOPNOTCHVENUES,SIMPSONLUFINALLYGOTTHECHANCETOBECOMEHISOWNBOSSINNOVEMBER2010SORTOFTHESHANGHAIBORNCHEFMIGHTNOTACTUALLYOWNCALIFORNIAPIZZAKITCHENCPKBUTHEISINSOLECHARGEOFBOTHKITCHENANDFRONTOFHOUSEATTHISSINANMANSIONSSTALWART“ITSCERTAINLYARESPONSIBILITYTOBETHEHEADCHEF,ANDTHENTOHAVETOMANAGETHERESTOFTHERESTAURANTASWELL,“THE31YEAROLDTELLSENJOYSHANGHAI“INHOTELS,FOREXAMPLE,THESEJOBSARESTRICTLYDEMARCATED,SOITSAGREATOPPORTUNITYTOLEARNHOWABUSINESSOPERATESACROSSTHEBOARD“ITWASATASKTHATMANAGEMENTBACKINSUNNYCALIFORNIAEVIDENTLYFELTHEWASREADYFOR,ANDAVOTEOFCONFIDENCEFROMACOMPANYTHAT,TODATE,HASOPENED250OUTLETSIN11COUNTRIESANDFORADDEDPRESSURE,THESHANGHAIBRANCHWASALSOCPKSCHINADEBUT“FORSUREITWASABIGSTEP,ANDUNLIKEALLTHEIROTHERASIAOPERATIONSTHATAREFRANCHISES,THEYDECIDEDTOMANAGEITDIRECTLYTOBEGINWITH,“SAYSSIMPSONTWOYEARSAGOAPRIVATEFRANCHISEETOOKOVERTHELEASE,BUTTHELINKSTOCPKHEADQUARTERSARESTILLSTRONG,WITHAMAINLANDBASEDBRANDAMBASSADORONHANDTOENSURETHEBUSINESSADHERESTOITSETHOSOFCREATING“INNOVATIVE,HEARTHBAKEDPIZZAS“,ASLICEOFPRBLURBTHATSIMPSONINSISTSLIVESUPTOTHEHYPE“THEYAREVERYINNOVATIVE,“HESAYS“THEPROBLEMWITHMOSTFASTFOODPLACESISTHATTHEYUSETHESAMESAUCEONEVERYPIZZAANDJUSTCHANGETHETOPPINGSEVERYONEOFOUR16PIZZASAUCESISAUNIQUERECIPETHATHASBEENFORMULATEDTOCOMPLEMENTTHETOPPINGSPERFECTLY“THELARGELYLOCALCUSTOMERBASEEVIDENTLYAGREESANDONSATURDAYANDSUNDAY,ATLEAST,THEPLACEISTEEMINGTHEKIDSEATFORFREEPOLICYATWEEKENDSISUNDOUBTEDLYABIGDRAW,ASWELLASISTHESPACIOUSSECONDFLOORLAYOUTOVERLOOKEDBYACANOPYOFGREENFROMFUXINGPARKOVERTHEROADTHECOMPANYISALSOFOCUSINGONINCREASINGBRANDRECOGNITIONANDINRECENTYEARSHASTAKENPARTINOUTSIDEEVENTSSUCHASTHEREGULARCALIFORNIAWEEKSTILL,THESTAAREHONESTENOUGHTOADMITTHATBUSINESSCOULDBEBETTERASGOOD,INFACT,ASINCPKSSECONDOUTLETINTHEPOPULARKERRYPARKSIDESHOPPINGMALLINPUDONG“SINANMANSIONSHASREALLYSTRUGGLEDTOGETTHENUMBEROFVISITORSTHATWEREENVISAGEDWHENITFIRSTOPENED,ANDITHASNTBEENEASYFORANYOFTHETENANTSHERE,“ADDSSIMPSON“WEREPLANNINGATHIRDOUTLETINTHECITYIN2015,ANDWEWILLPROBABLYCHOOSEASHOPPINGMALLAGAINBECAUSEOFTHEBETTERFOOTTRAFFIC“THETEAROOMSONCEFREQUENTEDBYCOCOCHANELANDMARCELPROUSTAREUPPINGSTICKSANDCOMINGTOSHANGHAI,XUJUNQIANVISITSTHEPARISIANOUTPOSTWITHSWEETTREATSONETHINGTHECENTURYOLDPARISIANTEAROOMANGELINAHASSHOWNISTHATLEGENDARYFASHIONDESIGNERCOCOCHANELNOTONLYHADSTYLEANDGLAMORBUTALSOBOASTEDGREATTASTEINFOOD,PASTRIESINPARTICULARONEOFTHEMOSTPOPULARTEAROOMSINPARIS,ANGELINAISFAMOUSFORHAVINGONCEBEENFREQUENTEDBYCELEBRITIESSUCHASCHANELANDWRITERMARCELPROUSTNOWANGELINAHASPACKEDUPITSFRENCHAMBIENCE,EFFICIENTSERVICE,ANDBEAUTIFUL,COMFORTINGDESSERTSANDFLOWNTHEMTOSHANGHAIATTHEFLAGSHIPDINEINANDTAKEOUTSPACEINSHANGHAI,EVERYTHINGMIMICSTHEORIGINALTEAROOMDESIGNEDFROMTHEBEGINNINGOFTHE20THCENTURY,INPARIS,THEHEIGHTOF“BELLEEPOQUE“THEPAINTINGSONTHEWALL,FOREXAMPLE,AREEXACTLYTHESAMEASTHEONETHATDEPICTSTHELANDSCAPEOFSOUTHERNFRANCE,THEHOMETOWNOFTHEOWNERANDTHESMALLTABLESAREINTENTIONALIMITATIONSOFTHEONESTHATCOCOCHANELONCESATATEVERYAFTERNOONFORHOTCHOCOLATETHEFAMOUSHOTCHOCOLATE,KNOWNASLAFRICAIN,ISALUXURIOUSMIXTUREOFFOURTYPESOFCOCOABEANSIMPORTEDFROMAFRICA,BLENDEDINPARISANDTHENSHIPPEDTOSHANGHAIITSSINFULLYSWEET,RICHANDTHICKASIFPUTTINGABAROFMELTINGCHOCOLATEDIRECTLYONTHETONGUEANDTHEFRESHWHIPPEDCREAMONTHESIDEMAKESALIGHT,BUTEQUALLYGRATIFYINGCONTRASTITISALSOSOLDINGLASSBOTTLESASTAKEAWAYTHESIGNATUREMONTBLANCCHESTNUTCAKECONSISTSOFTHREEPARTSTHEPUREEDCHESTNUTONTOP,THEVANILLACREAMLIKESTUFFING,ANDTHEMERINGUEASBASEGETALLTHREELAYERSINONESCOOP,NOTONLYFORTHEDIFFERENTTEXTURESBUTALSOVARIOUSFLAVORSOFSWEETNESSTHEDESSERTHASMAINTAINEDITSPOPULARITYFORACENTURY,EVENINACOUNTRYLIKEFRANCE,PERHAPSTHEWORLDSMOSTCOMPETITIVEPLACEFORDESSERTSAMUCHOVERLOOKEDPAIRING,ISTHEPARISNEWYORKCHOUXPASTRYANDN226CHOCOLATEFLAVOREDTEATHECHOUXPASTRYISAMOUTHFULOFAIRYPECANFLAVOREDWHIPPEDCREAM,WHILETHETEA,ABLENDOFBLACKTEASFROMCHINAANDCEYLON,COCOAANDROSEPETALS,OFFERSAMORESUBTLEFRAGRANCEOFFLOWERSANDCHOCOLATEORDERINGTHESETWOITEMS,FEATURINGAMUTEDSWEETNESS,MAKESITEASIERFORYOUTOFITINTOYOURLITTLEBLACKDRESSBREAKFAST,BRUNCH,LUNCHANDLIGHTSUPPERAREALSOSERVEDATTHETEAROOM,“AHUBOFMANYCULTURES“ANDTAKESIN“AMIXOFDIFFERENTSTYLESOFFRENCHCUISINES“,ACCORDINGTOTHEMANAGEMENTTEAMTHESEMICOOKEDFOIEGRASTERRINE,ISSEDUCTIVEANDDECEPTIVEITSGENEROUSLYSERVEDATTHESIZEANDSHAPEOFATOAS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