電大經(jīng)濟數(shù)學(xué)基礎(chǔ)12復(fù)習(xí)資料考試小抄一、單項選擇題1下列函數(shù)中為偶函數(shù)的是（）ABSINYX2YXCD2COS正確答案A2下列函數(shù)中為奇函數(shù)的是（）ABSINYX1LNXYCDE2正確答案B3下列各函數(shù)對中，（）中的兩個函數(shù)相等A2,FXGXB1,1FC2LN,LNFXGXDSICO,1正確答案D4下列結(jié)論中正確的是（）A周期函數(shù)都是有界函數(shù)B基本初等函數(shù)都是單調(diào)函數(shù)C奇函數(shù)的圖形關(guān)于坐標(biāo)原點對稱D偶函數(shù)的圖形關(guān)于坐標(biāo)原點對稱正確答案C5下列極限存在的是（）AB2LIM1X01LI2XCDLISNX0LIEX正確答案A6已知，當(dāng)（）時，為無窮1SIFXF小量ABCD0XX正確答案A7當(dāng)時，下列變量為無窮小量的是（）ABCDLN1X2121EXSIN正確答案D8函數(shù)在X0處連續(xù)，,XFXK則KA2B1C1D2正確答案B9曲線在點處的切線斜率是（）SINYX0,ABCD121正確答案D10曲線在點（0,1）處的切線斜率為（）。YXABCD21231X31X正確答案B11若，則（）COS2FXFA0B1C4D4正確答案C12下列函數(shù)在區(qū)間上單調(diào)減少的是（）,ABCDXCOS2XX2正確答案B13下列結(jié)論正確的是（）A若，則必是的極值點0FX0XFB使不存在的點，一定是的極值點XC是的極值點，且存在，則必有0XF0F0FD是的極值點，則必是的駐點XF0XF正確答案C14設(shè)某商品的需求函數(shù)為，則當(dāng)21EPQ時，需求彈性為（）6PAB3C3D35E2正確答案B15若函數(shù)，則1XF1,GX2FGA2B1C15D15正確答案A16函數(shù)的連續(xù)區(qū)間是（）1LNYXAB2（，）（，）2，）（，）CD1（，）1，）正確答案A17設(shè)，則（）LNDXFCXFABCDLN21LX2LN正確答案C18下列積分值為0的是（）ABSINDX1ED2XCD1E2XCOSX正確答案C19若是的一個原函數(shù)，則下列等式成立XFF的是ADXAFBXACBAFFBDDFXF正確答案B20設(shè)，是單位矩陣，則12A13BI（）TIAB3526CD12635正確答案A21設(shè)為同階方陣，則下列命題正確的是（）B,A若，則必有或OABOB若，則必有,C若秩,秩，則秩D11正確答案B22當(dāng)條件（）成立時，元線性方程組N有解AXBABCDRNQ980536Q205令0，即0，得140，C21Q2140（舍去）。140是在其定義域內(nèi)的唯一駐點，且該問題Q1確實存在最小值。所以140是平均成本函數(shù)的最小值點，即為1CQ使平均成本最低，每天產(chǎn)量應(yīng)為140件此時的平均成本為176（元/件）C40980536148已知某產(chǎn)品的銷售價格（單位元件）是銷量P（單位件）的函數(shù)，而總成本為Q2Q（單位元），假設(shè)生產(chǎn)的產(chǎn)品全部售出，105求產(chǎn)量為多少時，利潤最大最大利潤是多少解由已知條件可得收入函數(shù)240QRQP利潤函數(shù)240105QLQRC23015求導(dǎo)得LQ令得，它是唯一的極大值點，因此是最03大值點此時最大利潤為203015430L即產(chǎn)量為300件時利潤最大最大利潤是43500元9設(shè)生產(chǎn)某種產(chǎn)品個單位時的成本函數(shù)為X（萬元）,求當(dāng)時的總成本2106CX10和平均成本；當(dāng)產(chǎn)量為多少時，平均成本最小解因為總成本、平均成本和邊際成本分別為；2XX，106C所以，；210，10102CX令，得（舍去），可以驗證01X0是的最小值點，所以當(dāng)時，平均成本最1X小10設(shè)生產(chǎn)某產(chǎn)品的總成本函數(shù)為萬元，5CX其中為產(chǎn)量，單位百噸銷售百噸時的邊際收入為X（萬元/百噸），求利潤最大時的產(chǎn)量；12R在利潤最大時的產(chǎn)量的基礎(chǔ)上再生產(chǎn)百噸，利潤會發(fā)生1什么變化解因為邊際成本為，邊際利潤CX102LXR令，得可以驗證為利潤函數(shù)055X的最大值點因此，當(dāng)產(chǎn)量為百噸時利潤最大XL5當(dāng)產(chǎn)量由百噸增加至百噸時，利潤改變量為56（萬元）6255102D10XX1即利潤將減少1萬元11某廠生產(chǎn)某種產(chǎn)品Q件時的總成本函數(shù)為，單位銷售價格為24CQ元，問產(chǎn)量為多少時可使利潤最大10P元/件最大利潤是多少解設(shè)產(chǎn)量為Q，則收入函數(shù)為2140014RQLC22010Q因為邊際利潤時，利潤最大。L則，得4Q25Q產(chǎn)量為250時可使利潤最大2MAX0510130L最大利潤為1230元請您務(wù)必刪除一下內(nèi)容，O_O萬分謝謝2015年中央電大期末復(fù)習(xí)考試小抄大全，電大期末考試必備小抄，電大考試必過小抄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,ARE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