2015年电大《高等数学（1）》期末练习试题及答案资料小抄

电大高等数学（1）复习练习一、单项选择题1已知函数的定义域为，则的定义域是（）XF,0AXFABCD,0AA1,1,A2、下列函数中关于坐标原点对称的为（）A、B、1COSXY2XAYC、D、2X3、当（）时，是无穷小量。X10742XYA、B、2C、5D、24设在X0邻域内有定义，且，则（）XF10,FFXFLIM0A0BCD12145（）21DXABCD16设FX是FX的一个原函数，则（）XDFSINCOA、FCOSXCB、FSINXCC、FCOSXCD、FSINXC二、填空题1、曲线YLN1X在（0，0）点处的切线斜率是。2设函数0,3E52XAXF如果在处连续，则XF0A3函数的单调增加区间是542XF4若，则CFXDXFDLN5若已知FX的一个原函数是ARCTGX，则。XF6、是阶微分方程0E23YX三、计算题1、XX2LNIM02、1ELI0X3、设，求YD4、设YYX是由方程确定的函数，求XELN2Y5、DXCTG6、0OS7、求微分方程的通解01122YXY8求微分方程满足初始条件，的特解654Y30Y四、应用题1、欲做一个底为正方形，容积为108立方米的长方体开口容器，怎样做法所用材料最省2、求由曲线XY1,及直线YX,Y2所围平面区域面积。五、证明题试证202031AADXFDXF模拟练习答案（供参考）一、单项选择题1、D2、B3、D4、D5、A6、C二、填空题（每小题3分，共15分）1、12、53、4、5、6、2,1XFLN21X三、计算题1、解由洛必达法则得XX2ELNIM02E1LI0XX12、解1ELIM0XXXXELI01ELIM0XXE2LI013、解，DXDYXLNCOSI24、解原式两端求导，得，整理得XYEXYYLN22XEYYL325解设，则TTDT,2CXTTTCTGDXCGSINL2SINL2SISINO6、解CSIO000XD7、解因为原方程是可分离变量方程，即XYD122两端积分，得CXYLN1LN21LN22即（C为任意常数）X8解原方程的特征方程为，特征根为，06526112故原方程的通解为其中为任意常数XXYE26121,将条件，代入，得，40307C542所以原方程的特解为XXYE5476四1、解设底边边长为，高为，所用材料为HY因为，22108,XHXX2XX43210822，令得，2324Y0Y663因为，所以为最小值此时,60,XX18,X3H于是以6米为底边长，3米为高做长方体容器用料最省2、解画草图2分求交点，由，得，YXY1X1所求平面图形的面积为XY2Y2YXXY102LN3L21DA2121YY五、证明因为202203AADXFDXF设则,2TX22200111AADXFDTF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,ISTHEPARISNEWYORKCHOUXPASTRYANDN226CHOCOLATEFLAVOREDTEATHECHOUXPASTRYISAMOUTHFULOFAIRYPECANFLAVORE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