最新2015年电大经济数学基础12复习资料考试小抄【精编版】_第1页
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电大经济数学基础12复习资料考试小抄一、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,为无穷1SIFXF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处连续,,XFXK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()。YXABCD21231X31X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()1LNYXAB2(,)(,)2,)(,)CD1(,)1,)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OABOB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AXBABCDRNQ980536Q205令0,即0,得140,C21Q2140(舍去)。140是在其定义域内的唯一驻点,且该问题Q1确实存在最小值。所以140是平均成本函数的最小值点,即为1CQ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)是销量P(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出,105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240105QLQRC23015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),求当时的总成本2106CX10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;2XX,106C所以,;210,10102CX令,得(舍去),可以验证01X0是的最小值点,所以当时,平均成本最1X小10设生产某产品的总成本函数为万元,5CX其中为产量,单位百吨销售百吨时的边际收入为X(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,利润会发生1什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XL5当产量由百吨增加至百吨时,利润改变量为56(万元)6255102D10XX1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4Q25Q产量为250时可使利润最大2MAX0510130L最大利润为1230元请您务必删除一下内容,O_O万分谢谢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INDONESIAHASEMERGEDASATOPVACATIONDESTINATIONFORCHINESETHISSUMMER,ALONGWITHTHAILANDSPHUKETISLANDANDTHEMALDIVESARCHIPELAGOENCOURAGEDBYGROWTHINCHINESETRAVELERSTOINDONESIA,THEGOVERNMENTINJAKARTAHASRECENTLYRELAXEDITSVISAPOLICYSINCEJUNE10,CHINESETOURISTSCANENTERINDONESIATHROUGHNINEAPPOINTEDLOCATIONS,INCLUDINGTHESOEKARNOHATTAINTERNATIONALAIRPORTINJAKARTA,THENGURAHRAIINTERNATIONALAIRPORTINBALIANDTHEKUALANAMUINTERNATIONALAIRPORTINMEDAN,BYJUSTGETTINGTHEIRPASSPORTSSTAMPEDONARRIVALOFFICIALLY,ITISCALLEDTHE“FREEVISA“SCHEMETHENEWPOLICYALSOMEANSCHINESETOURISTSCANSAVE35ONVISAFEES,WHICHWILLLIKELYMAKETRIPSTOINDONESIAMOREALLURINGWHILESUCHANARRANGEMENTALLOWSCHINESEVISITORSTOSTAYUPTO30DAYSFORTHEPURPOSEOFTRAVELING,THOSESEEKINGEXTENSIONSWILLNEEDTOGETPAIDVISASFROMTHATCOUNTRYSMISSIONSINBEIJING,SHANGHAI,GUANGZHOUORHONGKONG,ACCORDINGTOANOFFICIALATTHEINDONESIAEMBASSYINBEIJINGSANTODARMOSUMARTO,HEADOFTHEEMBASSYSINFORMATION,SOCIALANDCULTURALSECTION,SAYSTHENEWPOLICYISAIMEDATSTRENGTHENINGPEOPLETOPEOPLECONTACTSBETWEENTHETWOCOUNTRIESDAIYU,MARKETINGDIRECTOROFCTRIP,AMAJORCHINESEONLINETRAVELAGENCY,SAYS“WEVESEENANEARLY50PERCENTGROWTHOVERTHEPREVIOUSMONTHINTHENUMBEROFCHINESETOURISTSTOBALISINCETHEPOLICYWASANNOUNCED“DURINGHISTRIPTOCHINAINMARCH,INDONESIANPRESIDENTJOKOWIDODOPROPOSEDTHATHISCOUNTRYANDCHINAAIMTOINCREASETWOWAYVISITSTOAMAXIMUMOF10MILLIONPEOPLEINTHENEXTFEWYEARSTHEINDONESIANGOVERNMENTHASSETTHEIRSIGHTSONGREETING2MILLIONCHINESETOURISTSBYTHEENDOFTHISYEAR,ACCORDINGTOTHEOFFICIAL“THEINDONESIANGOVERNMENTHOPESTHATINDONESIANNATIONALSWOULDALSOBEGIVENPREFERENTIALTREATMENTWHILEVISITINGCHINA,“SAYSDARMOSUMARTOIN2013,THENUMBEROFCHINESETOURISTSWHOVISITEDINDONESIASTOODAROUND807,000LASTYEAR,ITINCREASEDTO959,000,HEADDSBALIREMAINSTHEMOSTPOPULARSITEAMONGCHINESETOURISTSINFEBRUARY,MORETHAN92,200CHINESETOURISTSMADETRIPSTOBALI,RANKINGFIRSTAMONGOVERSEASVISITORS,THEBALITIMESREPORTEDLASTYEAR,THEISLANDWITNESSEDMORETHAN586,000ARRIVALSFROMCHINA,ANINCREASEOF51PERCENTOVER2013“BALIISNTJUSTFORSIGHTSEEING,BUTALSOFORWEDDINGS,HONEYMOONS,GOLFANDMANYOUTDOORACTIVITIES,“SAYSFANWENQING,AMARKETINGEXECUTIVEATGARUDA,INDONESIASNATIONALAIRLINERGARUDAOFFERSTHREENONSTOPFLIGHTSBETWEENBEIJINGANDBALI,ANDFOUREACHWEEKBETWEENBEIJINGANDJAKARTATHEREAREDAILYFLIGHTSFROMGUANGZHOU,INGUANGDONGPROVINCE,ANDSHANGHAITOJAKARTAASWELLITTAKESFROMSIXTOEIGHTHOURSONANONSTOPFLIGHTTOREACHINDONESIAFROMCHINAINDONESIAISHOMETOMORETHAN17,000ISLANDSTOURISTSCANTOURYOGYAKARTATOSEEPRAMBANAMANDBOROBUDUR,TWOHISTORICALANDRELIGIOUSSITES,ANDEXPLORETHELOCALHANDICRAFTMARKETSTHEBASEOFAVOLCANO,BANDUNG,WHICHISALSOKNOWNASTHE“PARISOFJAVA“,ISIDEALFORADVENTURESEEKERSMANYECOTOURISMDESTINATIONS,SUCHASTOBALAKEINSUMATRA,TANJUNGPUTINGNATIONALPARKINKALIMANTANANDBUNAKENINMANADO,AREPLACESTHEEMBASSYOFFICIALRECOMMENDSFORTOURISTSINDONESIABOASTSWORLDCLASSSURFINGFACILITIESALONGTHESHORESOFSUMATRADOWNTONUSATENGGARAISLANDSRECENTLY,LOMBOK,ASISTERISLANDEASTOFBALIHASGOTTENSOMUCHATTENTIONFROMCHINESETRAVELERSTHATSOMETRAVELAGENCIESAREOFFERINGTWINPACKAGESFORBALIANDLOMBOKTHEBESTTIMETOVISITBALIISFROMMAYTOOCTOBER,WHENITDOESNTRAINMUCHANDTHEWEATHERISCOOLATPRESSTIME,AWEEKLONGPACKAGEFROMSHANGHAIORGUANGZHOUTOBALIWASALITTLEMORETHAN3,000YUAN480ONCTRIPSWEBSITECHINESETOURISTSHAVETAKENASHINETOR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