2015年电大《经济数学基础》期末必备复习资料考试小抄【精编打印版】

电大经济数学基础12复习资料参考小抄一、单项选择题1下列函数中为偶函数的是（）ABSINYX2YXCD2COS正确答案A2下列函数中为奇函数的是（）ABSINYX1LNXYCDE2正确答案B3下列各函数对中，（）中的两个函数相等A2,FXGXB1,1FC2LN,LNFXGXDSICO,1正确答案D4下列结论中正确的是（）A周期函数都是有界函数B基本初等函数都是单调函数C奇函数的图形关于坐标原点对称D偶函数的图形关于坐标原点对称正确答案C5下列极限存在的是（）AB2LIM1X01LI2XCDLISNX0LIEX正确答案A6已知，当（）时，为无1SIFXF穷小量ABCD0XX正确答案A7当时，下列变量为无穷小量的是（）ABCDLN1X2121EXSIN正确答案D8函数在X0处连12,XFXK续，则KA2B1C1D2正确答案B9曲线在点处的切线斜率是（）SINYX0,ABCD121正确答案D10曲线在点（0,1）处的切线斜率为（YX）。ABCD21231X31X正确答案B11若，则（）COS2FXFA0B1C4D4正确答案C12下列函数在区间上单调减少的是（,）ABCDXCOS2XX2正确答案B13下列结论正确的是（）A若，则必是的极值点0FX0XFB使不存在的点，一定是的极值点XC是的极值点，且存在，则必有0XF0F0FD是的极值点，则必是的驻点XF0XF正确答案C14设某商品的需求函数为，则当21EPQ时，需求弹性为（）6PAB3C3D35E2正确答案B15若函数，则1XF1,GX2FGA2B1C15D15正确答案A16函数的连续区间是（）LNYXAB12（，）（，）12，）（，）CD（，），）正确答案A17设，则（）LNDXFCXFABCDLN21LX2LN正确答案C18下列积分值为0的是（）ABSINDX1ED2XCD1E2XCOSX正确答案C19若是的一个原函数，则下列等式成立XFF的是ADXAFBXACBAFFBDDFXF正确答案B20设，是单位矩阵，则12A13BI（）TIAB3526CD12635正确答案A21设为同阶方阵，则下列命题正确的是（B,）A若，则必有或BOABOB若，则必有,C若秩,秩，则秩D11正确答案B22当条件（）成立时，元线性方程组N有解AXBABCDRNCQ980536Q205令0，即0，得140，21Q2140（舍去）。140是在其定义域内的唯一驻点，且该问题Q1C确实存在最小值。所以140是平均成本函数的最小值点，即为1Q使平均成本最低，每天产量应为140件此时的平均成本为176（元/件）C40980536148已知某产品的销售价格（单位元件）是销P量（单位件）的函数，而总成本为Q2Q（单位元），假设生产的产品全部售105出，求产量为多少时，利润最大最大利润是多少解由已知条件可得收入函数240QRQP利润函数2105LCQQ23015求导得LQ令得，它是唯一的极大值点，因此是最03大值点此时最大利润为203015430L即产量为300件时利润最大最大利润是43500元9设生产某种产品个单位时的成本函数为X（万元）,求当时的总成2106CX10本和平均成本；当产量为多少时，平均成本最小解因为总成本、平均成本和边际成本分别为；2106CXX，所以，；210，106C2X令，得（舍去），可以验01X0证是的最小值点，所以当时，平均成1XCX本最小10设生产某产品的总成本函数为万元，5C其中为产量，单位百吨销售百吨时的边际收入为XX（万元/百吨），求利润最大时的产量；12R在利润最大时的产量的基础上再生产百吨，利润会发1生什么变化解因为边际成本为，边际利润CX102LXR令，得可以验证为利润函数055X的最大值点因此，当产量为百吨时利润最大X当产量由百吨增加至百吨时，利润改变量为6（万元）6255102D10LXX1即利润将减少1万元11某厂生产某种产品Q件时的总成本函数为，单位销售价格为24CQ元，问产量为多少时可使利润最大10P元/件最大利润是多少解设产量为Q，则收入函数为2140014RQLC22010Q因为边际利润时，利润最大。L则，得041LQ250Q产量为250时可使利润最大2MAX513最大利润为1230元请您删除一下内容，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,RICHANDTHICKASI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