电大工程数学复习资料（本）期末复习考试试题资料小抄

电大工程数学复习资料（本）期末复习考试 试题 中考模拟试题doc幼小衔接 数学试题 下载云南高中历年会考数学试题下载N4真题下载党史题库下载 资料小抄电大工程数学复习资料一、线性代数1、矩阵的初等行变换：1）两行互换，2）某一行乘以一个非零常数，3）某一行的K倍加到另一行。2、阶梯型矩阵：1）全为0的行写在最下面，2）首非零元的列标随行标的增大而增大。如3、行简化阶梯型矩阵：满足下列条件的阶梯型矩阵：1）首非零元全为1，2）首非零元所在列其余元素全为0。如：4、求矩阵A的秩：A阶梯型矩阵。阶梯型矩阵非零行的行数既为矩阵A的秩即r(A)例：设矩阵，求矩阵的秩．解：用初等行变换将矩阵化为阶梯形由此可知矩阵的秩为2．　　　　5、求矩阵方程AX=B：（AB）(IX)或X=B求矩阵A的逆矩阵：（AI）（I）1.例：设矩阵A=,B=,求AB.或解矩阵方程AX=B解：（AB）=→→∴＝例：设矩阵，求：解：所以．6、n元线性方程组解的判定1）AX=b：r(Ab)=r(A)时，方程组有解r(Ab)≠r(A)时，方程组无解AX=0：方程组一定有解2）求齐次线性方程组AX=0的基础解系：将方程组中的自由量分别取（k，0，0）,(0,k,0),(0,0,k)形式所得到的解向量3）求AX=0的一般解和全部解：求AX=b的一般解和全部解：例：设齐次线性方程组的系数矩阵经过初等行变换，得求此齐次线性方程组的一个基础解系和通解．解：因为得一般解：（其中是自由元）令，得；令，得．所以，是方程组的一个基础解系．方程组的通解为：，其中是任意常数．例：2.线性方程组的全部解解：（Ab）=→→→方程组的一般解将常数项视为零，取得相应齐次方程组的一个基础解系，取原方程组的一个特解故方程组的全部解X=+C例：当取何值时，线性方程组有解，在有解的情况下求方程组的全部解．解：将方程组的增广矩阵化为阶梯形　　　由此可知当时，方程组无解。当时，方程组有解。　　此时齐次方程组化为　　　分别令及，得齐次方程组的一个基础解系　　　令，得非齐次方程组的一个特解　　　由此得原方程组的全部解为　　　　（其中为任意常数）　二、概率部分　1、假设为两事件，已知，求．解：2、正态分布X～,,P(X>b)=1-P（X例：.据资料分析，某厂生产的一批砖，其抗断强度X～N(32.5,1.21),今从这批砖中随机地抽取了9块，测得抗断强度（单位：kg/cm）的平均值为31.12，问这批砖的抗断强度是否合格（α=0.05，μ=1.96）解：假设Ｈ：μ＝32.5已知ｎ＝9，＝31.12　σ＝1.1===3.76>1.96故认为这批砖的抗断强度不合格例：某钢厂生产了一批管材，每根 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直径100mm,今对这批管材进行检验，随机取出9根，测得它们直径的平均值为99.9mm,样本标准差s=0.47,已知管材直径服从正态分布，问这批管材的质量是否合格（检验显著性水平α=0.05，）解：假设H:μ=100已知：n=9s=0.47=99.9故认为这批管材的质量是合格的请您删除一下内容，O(∩_∩)O谢谢！！！xx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,andasprinklingofothertop-notchvenues,SimpsonLufinallygotthechancetobeehisownbossinNovemberxx.Sortof.TheShanghai-bornchefmightnotactuallyownCaliforniaPizzaKitchen(CPK)butheisinsolechargeofbothkitchenandfrontof-houseatthisSinanMansions＇stalwart.“It’scertainlyaresponsibilitytobetheheadchef,andthentohavetomanagetherestoftherestaurantaswell,“the31-year-oldtellsEnjoyShanghai.“Inhotels,forexample,thesejobsarestrictlydemarcated,soit’sagreatopportunitytolearnhowabusinessoperatesacrosstheboard.“ItwasataskthatmanagementbackinsunnyCaliforniaevidentlyfelthewasreadyfor,andavoteofconfidencefromapanythat,todate,hasopened250outletsin11countries.Andforaddedpressure,theShanghaibranchwasalsoCPK’sChinadebut.“Forsureitwasabigstep,andunlikealltheirotherAsiaoperationsthatarefranchises,theydecidedtomanageitdirectlytobeginwith,“saysSimpson.Twoyearsagoaprivatefranchiseetookoverthelease,butthelinkstoCPKheadquartersarestillstrong,withamainland-based＇brandambassador’onhandtoensurethebusinessadherestoitsethosofcreating“innovative,hearth-bakedpizzas“,asliceofPRblurbthatSimpsoninsistslivesuptothehype.“Theyareveryinnovative,“hesays.“Theproblemwithmostfastfoodplacesisthattheyusethesamesauceoneverypizzaandjustchangethetoppings.Everyoneofour16pizzasaucesisauniquerecipethathasbeenformulatedtoplementthetoppingsperfectly.“ThelargelylocalcustomerbaseevidentlyagreesandonSaturdayandSunday,atleast,theplaceisteeming.Thekids-eat-for-freepolicyatweekendsisundoubtedlyabigdraw,aswellasisthespacioussecond-floorlayoutoverlookedbyacanopyofgreenfromFuxingParkovertheroad.ThepanyisalsofocusingonincreasingbrandrecognitionandinrecentyearshastakenpartinoutsideeventssuchastheregularCaliforniaWeek.Still,thestaarehonestenoughtoadmitthatbusinesscouldbebetter;asgood,infact,asinCPK’ssecondoutletinthepopularKerryParksideshoppingmallinPudong.“SinanMansionshasreallystruggledtogetthenumberofvisitorsthatwereenvisagedwhenitfirstopened,andithasn’tbeeneasyforanyofthetenantshere,“addsSimpson.“We’replanningathirdoutletinthecityinxx,andwewillprobablychooseashoppingmallagainbecauseofthebetterfoottraffic.“ThetearoomsoncefrequentedbyCocoChanelandMarcelProustareuppingsticksandingtoShanghai,XuJunqianvisitstheParisianoutpostwithsweettreats.Onethingthecentury-oldParisiantearoomAngelinahasshownisthatlegendaryfashiondesignerCocoChanelnotonlyhadstyleandglamorbutalsoboastedgreattasteinfood,pastriesinparticular.OneofthemostpopulartearoomsinParis,AngelinaisfamousforhavingoncebeenfrequentedbycelebritiessuchasChanelandwriterMarcelProust.NowAngelinahaspackedupitsFrenchambience,efficientservice,andbeautiful,fortingdessertsandflownthemtoShanghai.Attheflagshipdine-inandtake-outspaceinShanghai,everythingmimicstheoriginaltearoomdesignedfromthebeginningofthe20thcentury,inParis,theheightof“BelleEpoque“.Thepaintingsonthewall,forexample,areexactlythesameastheonethatdepictsthelandscapeofsouthernFrance,thehometownoftheowner;andthesmalltablesareintentionalimitationsoftheonesthatCocoChaneloncesatateveryafternoonforhotchocolate.Thefamoushotchocolate,knownasL’Africain,isaluxuriousmixtureoffourtypesofcocoabeansimportedfromAfrica,blendedinParisandthenshippedtoShanghai.It’ssinfullysweet,richandthickasifputtingabarofmeltingchocolatedirectlyonthetongueandthefreshwhippedcreamonthesidemakesalight,butequallygratifyingcontrast.Itisalsosoldinglassbottlesastakeaway.ThesignatureMont-Blancchestnutcakeconsistsofthreeparts:thepureedchestnutontop,thevanillacreamlikestuffing,andthemeringueasbase.Getallthreelayersinonescoop,notonlyforthedifferenttexturesbutalsovariousflavorsofsweetness.Thedesserthasmaintaineditspopularityforacentury,eveninacountrylikeFrance,perhapstheworld’smostpetitiveplacefordesserts.Amuchoverlookedpairing,istheParis-NewYorkchouxpastryandN226chocolateflavoredtea.Thechouxpastryisamouthfulofairypecan-flavoredwhippedcream,whilethetea,ablendofblackteasfromChinaandCeylon,cocoaandrosepetals,offersamoresubtlefragranceofflowersandchocolate.Orderingthesetwoitems,featuringamutedsweetness,makesiteasierforyoutofitintoyourlittleblackdress.Breakfast,brunch,lunchandlightsupperarealsoservedatthetearoom,“ahubofmanycultures“andtakesin“amixofdifferentstylesofFrenchcuisines“,aordingtothemanagementteam.Thesemi-cookedfoiegrasterrine,isseductiveanddeceptive.It’sgenerouslyservedatthesizeandshapeofatoast,whiletheactualbriochetoastisbakedintoacurvedslicedippedwithfigchutney.Theflavor,however,ishonest:strong,smoothandsublime.Andyoudon’tactuallyneedthetoastforcrunchiness.Thisistheseasonforhighteas,withdaintycupsoffinechinaandlittlepastriesthatappealtobothvisualandphysicalappetites.Butthereisonehighteawithadifference,andPaulineD.Lohfindsoutjustexactlywhyitisspecial.EarlGreyteaandmacaronsareallverywellforthecrucialrecuperativebreakin-betweenintensiveboutsofholidayseasonshopping.Andforthosewhoprefersavorytosweet,thereisstilltheselectionofclassicChinesesnackscalleddimsumtosatisfyandsatiate.Highteaisamealtoeatwitheyeandmouth,anin-betweenindulgencethatshouldbelightenoughnottospoildinner,butsufficientlyrobusttotaketheedgeoffthehungerthatstrikeshoursafterlunch.TheafternoonteaspecialatShang-XiattheFourSeasonsHotelPudonghasjusttherightelements.Itisapamperingmeal,withtouchesofluxurythatmakethehighteasessionatreatinitself.Wholebabyabalonesarebraisedandthentoppedonashortcrustpastryshell,asortofChineseversionoftheWesternvol-au-vent,butclassier.Evenclassieristhedimsumstapleshrimpdumplingorhargow,upgradedwiththeadditionofsliversofmidnightdarktruffles.Thisisamastertouch,andchefSimonChoi,whopresidesunchallengedatShang-Xi,hasscoredawinneragain.Sweetprawnsandaromatictruffles—what’snottolove?Hismasterfulcraftsmanshipisexhibitedinyetanotherpastry—asweetpastrythatisshapedtolooklikeawalnut,butwhichyoucanputstraightintothemouth.Itcrumblesimmediately,andtheslightlysweet,nuttymorselissoeasytoeatyou’llprobablyreachstraightforanother.Myfavoriteisthedessertthatgoesbythenameyangzhiganlu,orambrosiafromthegods.Thehotelcallsitchilledmangocreamwithsago,pomeloandbird’snest–madewithingredientsthatresonatewitheveryfemalesoul.Itdoestastelikeambrosia,withthesweet-sourfragranceofthemangoformingthefirstlayeroftasteandsensation,andthepomelosacsandsagopearlsprovidingthetactilecontrast.Thebird’snest—it’stheingredientthatgildsthelily,sinceitissupposedtonourishandnurtureaperfectplexion.Forthoseunfamiliarwiththisexoticingredient,thebird’snestisnotabundleoftwigs,butis,instead,thedriedsecretionthatcaveswiftsusetobuildtheirnest.Technically,it’sbirdsaliva,buttheChinesebelievethatithascollagen-boostingpropertiesessentialtobeauty.Tome,itjusttastesgood,addingaslightgelatinouscrunchtothebackoftheteeth.ThereisalsoabakedmushroompuffpastrythatincludesthehighlyprizedMatsutakeorpinemushroom.Youalsogetachoiceofteas,butIstronglyremendtheagedPu’erfromYunnanprovince.Itisamellowteathatwillgoperfectlywiththerichlittlenuggets,andwillwarmyouuponacoldafternoon.Incidentally,thegeneralguideisgreenteasuchasLongjingorDragonwellforthehotseason,semi-fermentedteaslikeWu-longorIronBuddhaforautumn,andmorewarmingteaslikePu’erforwinter.TheShang-Xiafternoonteacosts228yuan($37)perperson,and388yuanforthemoreopule