教育资源为主的文档平台

当前位置: 查字典文档网> 所有文档分类> > 物理> Polymeric ion-selective membrane functionalized gate-electrodes

Polymeric ion-selective membrane functionalized gate-electrodes

上传者:曹振华
|
上传时间:2015-05-08
|
次下载

Polymeric ion-selective membrane functionalized gate-electrodes

Polymericion-selectivemembranefunctionalized

gate-electrodes:Ion-selectiveresponseofelectrolyte-gatedpoly(3-hexylthiophene)?eld-effect

内容需要下载文档才能查看

transistors

KatharinaMelzera,?,AlexandraMaraMünzera,EwaJaworskab,KrzysztofMaksymiukb,AgataMichalskab,GiuseppeScarpaa

ab

TechnischeUniversitätMünchen,InstituteforNanoelectronics,Arcisstraße21,80333München,GermanyUniversityofWarsaw,FacultyofChemistry,Pasteura1,02-093Warsaw,Poland

articleinfoabstract

Wedemonstratetheion-selectiveresponseofanelectrolyte-gatedorganic?eld-effecttransistor(IS-OFET)towardsthetwoprominentsecondmessengersforcell–cellcommuni-cation:K+andCa2+.Theion-selectiveresponseisachievedbymodifyingthegate-electrodewithdifferentpolymericion-selectivemembranes.Thesensingmechanismreliesonthetransductionoftheionicsignalinanelectricaloneduetoaconcentration-dependentchangeinthemembranepotentialatthegate/electrolyteinterfacewhichleadstoachangeintheeffectivegatepotentialandthusalterschargetransportinthesemiconductingchan-nel.ThesesensorscanbesuccessfullyusedtoselectivelydetectconcentrationsofprimaryionsdowntoaconcentrationinthelMrangeeveninsolutionswithanionicbackgroundof150mM.Ourapproachrepresentsavaluablestrategyfortherealizationofportable,multi-purposeandlow-costbiosensingdevices.

Ó2013ElsevierB.V.Allrightsreserved.

Articlehistory:

Received2October2013

Receivedinrevisedform26November2013Accepted12December2013

Availableonline25December2013Keywords:Biosensor

Electrolyte-gatedorganic?eld-effecttransistor

Ion-selectiveresponse

Polymericion-selectivemembraneIonicbackgroundP3HT

1.Introduction

Inthelastfewyearsbiosensingconceptsbasedonelec-trolyte-gatedorganic?eld-effecttransistors(OFETs)havereceivedconsiderableattention(forrecentreviewsthereaderisreferredto[1–3]andreferencestherein).Inthiscontext,?eld-effecttransistorswithorganicsemiconduc-torsasactivelayerespeciallybene?tfromthefact,thattheycanbeusedin?exibleanddisposablesensorsduetothelowfabricationcostsofsolution-processableorganicthin?http://wendang.chazidian.combinedwiththeirhighbiocom-Correspondingauthor.Tel.:+498928925320.

E-mailaddresses:katharina.melzer@nano.ei.tum.de(K.Melzer),alexandra.muenzer@nano.ei.tum.de(A.M.Münzer),ejaworska@chem.uw.edu.pl(E.Jaworska),kmaks@chem.uw.edu.pl(K.Maksymiuk),agatam@chem.uw.edu.pl(A.Michalska),giuseppe.scarpa@nano.ei.tum.de(G.Scarpa).

内容需要下载文档才能查看

1566-1199/$-seefrontmatterÓ2013ElsevierB.V.Allrightsreserved.http://wendang.chazidian.com/10.1016/j.orgel.2013.12.016

patibility[4]itmakesthemalsosuitableforimplantsandevenpermitsthedesignofbiodegradabledevices,e.g.forinvivoapplications[5,6].

OFETs,eitherelectrolyte-gated[7–9]orback-gated[10,11],havealreadyproventobeverysensitiveforelec-tricalinteractionsnearthesemiconductor/electrolyteinterface.ButinadditiontothesensitivityoftheOFETto-wardscertainanalytesintheelectrolyte,anothercrucialrequirementforapotentialbiosensorisselectivitytowardsspeci?canalytes.Thereforeitisabsolutelymandatorytointroduceadditionalfunctionallayersorspeci?cbiorecog-nitionsitestothesensor.Theseelementsaremostoftenattachedtothesemiconductorsurface,whichisdirectlyexposedtotheelectrolyte.InthiscontextmucheffortwasputingraftingofeitherantibodiesorDNAstrandsontotheactivelayerinordertodetectthecorrespond-ingantigen[12,13],DNAhybridization[14–16]orthefunctionalizationofthesemiconductorsurfacewithenzymes[17]tocatalyzeaspeci?creaction.

596K.Melzeretal./OrganicElectronics15(2014)595–601

UnfortunatelyminimalinvestigationwasmadeontheselectivedetectionofpHandphysiologicalelectrolytes(K+,Na+andCa2+)incomplexsamples.Heretheconceptofpolymericion-selectivemembranes,whichhasalreadybeenbroadlyusedinelectrochemicalpotentiometricsen-sors[18–20],canbeadaptedtoobtainaselectiveresponseofion-sensitive?eld-effecttransistors(ISFETs)[21–25].Onecan?ndseveralexamplesinliteratureforinorganicIS-FETs,wherethegateinsulatorwasfunctionalizedwithion-selectivepolymericmembranestoselectivelydetectcer-tainionse.g.thetwoveryprominentsecondmessengersforcell–cellcommunicationK+[24]andCa2+[25].Onebigissueinthesedevicesisthebadadhesionofthepoly-mericmembranetothesurfaceofthegatematerials[22],e.g.Si3N4[26].Byfurtherexploitingthisconceptinorganic?eld-effecttransistorsanotherdif?cultyariseswhentheactivelayeroftheOFETshouldbefunctionalizedbysolution-castingofthepolymericmembrane:mostof-tenthemembrane-solventdegradesthepolymericsemi-conductinglayerorthepolymericgateinsulator.TheseconstraintscanbecircumventedbyapplyingtheapproachSchmoltneretal.[27]pursued.InthisworktheP3HTFETisindirectcontactwithareferenceelectrolytewithagivensodiumconcentrationactingasgatedielectric.OntopofthisreferenceelectrolyteapolymericNa+-selectivemem-brane,embeddedinaPDMS-compartment,separatesthetargetsampleandtheAg/AgClreferenceelectrodefromtheP3HTFET.Thissetupresemblesalotanorganic?eld-effecttransistorgatedwithaconventionalion-selectiveelectrode(ISE),wheretheminiaturizationofthewholesensor,whichisarequirementforafurtherintegrationofthesensorinamicro?uidicsystem,isrestrictedbytherelativehugesizeofthereferenceelectrode.ThereforeaclassofspeciallydesignedISEswasdeveloped,wheretheion-selectivepolymericmembraneisdirectlycoatedontoaconductivesurface,suchasametalwire.Thisallowstheconstructionofverysmallanddurablesolid-stateelec-trodes(0.5–2mmindiameter)[28].Theinternalrefer-encesolutionoftheconventionaldesignismissinginthistypeofelectrode:theion-selectivemembraneiscon-tacteddirectlybythereferencewire.Theconceptofthiscoated-wireelectrodecanbealsoutilizedinISFETsensors.ForexampleLiuetal.[29]coatedaplatinum(Pt)wirewithanion-selectivemembrane,whichwasfurtherconnectedtothegateofaconventional?eld-effecttransistorandmountedinaglasstube.However,inthision-selectivecoated-wire/?eld-effecttransistorelectrodeonlytheion-selectivemembraneisindirectcontactwiththeelectro-lytesolutionandtheresponseofthe?eld-effecttransistoritselftowardsdifferentionconcentrationsinliquidisnotconsidered.

Inpreviouswork,wehavealreadyreportedonpH-sen-sitiveelectrolyte-gatedP3HTFETs[7]andion-sensitiveback-gatedP3HTFETs[11],buttheselectivitytowardscer-tainionsremainedstillanissue.Inthisworkweextendthepreviousworkandreportonanalternativeconcepttotunethesensor’sselectivity:wefunctionalizethegate-electrodeofanelectrolyte-gatedpoly(3-hexylthioph-ene)(P3HT)basedOFETwithdifferentpolymericion-selectivemembranestoobtainaselectiveresponseofthesensortowardsthebiologicallyrelevantionsK+andCa2+.

Asmanypossibilitiesareavailabletofunctionalizethegate-electrodeofelectrolyte-gatedFETsthisopensupnewpathsfortherealizationofselectivebiosensing.In-deed,inrecentexamplestheselectivedetectionofdopa-mine[30]andglucose[31]hasbeensuccessfullydemonstratedviathisapproach.

Byfunctionalizingthegate-electrodewithpolymericion-selectivemembranes,weshowthattheresponseoftheelectrolyte-gatedP3HTFETtowardsprimaryandinter-feringionsgetsincreased.Furthermore,theionophorepresentintheion-selectivemembraneenablestheselec-tivedetectionofcertainionsinsolutionswithandwithoutionicbackgroundbyformingarelativelystrong,selectiveandreversiblecomplexwithonlythetargetion.Weobtainlowerdetectionlimitsforprimaryionsdowntoaconcen-trationinthelMrangeeveninsolutionswithanionicbackgroundof150mMNaCl.Ourapproachrepresentsavaluablestrategyfortherealizationofportable,multi-pur-poseandlow-costbiosensingdevices.2.Materialsandmethods2.1.Transistorfabrication

Organic?eld-effecttransistors(OFETs)wereprocessedusinghighlyp-dopedsiliconwafers(SiMat)asasubstratewitha200nmthickthermallygrownsilicondioxidelayer(SiO2).Sourceanddrainelectrodes(5nmCrasadhesionlayer,40nmAu)werepatternedontopoftheoxidelayerbyaconventionalnegativeopticalphotolithographypro-cess.Aninterdigitated?ngerstructure(IDES)wasusedaselectrodestructurewithachannellengthof50lmandawidth-to-length-ratioof900.A1wt%solutionofP3HT(RiekeMetals)inanhydrous1,2-dichlorobenzene(DCB,VWR)waspreparedandsonicatedfor30mintoobtainahomogenoussolution.Thesolutionwasthen?lteredthroughapolytetra?uoroethylene(PTFE)syringe?lterwithaporesizeof200nm(VWR)andspin-coated(1000rpm,90s)ontothesurfaceofthewaferinagloveboxsystem(N2).Afterspin-coatingthe?lmwasannealedonahotplateunderanitrogenatmosphereat150°Cfor15min.TheresultingthicknessoftheP3HT?lmwasapproximately50–70nm.

2.2.Functionalizationofthegate-electrode

Theion-selectivegate-electrodeswerefabricatedbycleaningaPt-wirewithacetoneandisopropylalcoholbe-forecoatingthePt-surfacewiththemembrane(seetheSupportingInformationfortheexactcompositionofthemembranecocktails)untilahomogenouslayerwithathicknessofseverallmwasobtained.Afterwardstheelec-trodesweredriedovernightunderambientconditionstoguaranteeacompleteremovalofallsolventresidues.Toobtainanoptimalresponse,thefreshlypreparedmem-branesrequireaconditioningproceduretoachieveanade-quatesaturationwithwaterandanuptakeofprimaryions,whichfurtherimprovesthedetectionlimit[32].Thereforethefunctionalizedelectrodeswereplacedforabout24hinconditioningsolutionscontaining10À3Mofprimaryions

K.Melzeretal./OrganicElectronics15(2014)595–601597

dilutedinDI-waterbeforethe?rstmeasurementwasper-formed.InbetweendifferentmeasurementstheelectrodeswerestoreddryafterrinsingthemwithDI-wateranddry-ingthemwithnitrogen.Priortoeachnewmeasurementtheywereconditionedagainfor2hintheconditioningsolution.

2.3.Electricalcharacterization

Devicecharacteristics(ISDvs.VEGandISDvs.VD)andon-linemeasurements(ISDvs.time)wererecordedusingasemiconductorparameteranalyzersystem(Keithley4200SCS).Tooperatethetransistorinliquid,measurementswereperformedaftermountingthedevicesina?ow-chamber,whichhasaliquidcompartmentvolumeof100ll.TransfercurveswererecordedwithVD=À0.1VandVEGbetween0.6VandÀ0.6Vwithasweeprateof0.008VsÀ1.OnlinemeasurementswereperformedwithaconstantdrainvoltageVD=À0.4Vandanelectrolyte-gatepotentialofVEG=À0.4V.Thesamplingtimewas100ms.3.Resultsanddiscussion

Theorganic?eld-effecttransistorswerefabricatedbyspin-coatingathinlayerofP3HTdissolvedinDCBontoSisubstrateswithalreadyprede?nedinterdigitatedgoldelectrodes(seealsotheschematicinFig.1,furtherdetailsonthefabricationprocessarereportedinSection2).APt-wire,coatedwithdifferentpolymericion-selectivemem-branes,immersedinthesampleelectrolyte,servesaselec-

内容需要下载文档才能查看

Pt-wiresasgate-electrodes.Fig.2ashowstheIDSvs.VEGandIDSvs.VDcharacteristicsofaP3HTOFETgatedwitheitherapristinePt-electrode(OFET)orexemplarilywithaPt-wirecoatedwithaK+-selectivePVC-membrane(IS-OFET).Aselectrolytea10À2MsolutionofprimaryionsinDI-waterwasused.ThethresholdvoltageofthePt-gatedOFETisVth=À0.24V,whichshiftstowardsmorepositivegatevoltages(Vth=À0.07V)bycoatingtheelectrodewithanion-selectivemembrane,resultinginaslightlyhigherdraincurrentoftheIS-OFET.WeobtaintransconductancevaluesofÀ49lSandÀ40lSfortheOFETandIS-OFET,respectively.

Theseresultsclearlydemonstratethatthefunctionali-zationofthegate-electrodedoesnotimpairthedeviceper-formanceoftheelectrolyte-gatedOFET:thefunctionalizedandtheunfunctionalizedOFETbothshowaclear?eld-effectcharacteristicwithaslighthysteresis,ON-currentvaluesofabout20lAandanon/off-ratioofabout100.TheoperatingperformanceoftheIS-OFETwasevalu-atedbyapplyinga?xedsource-drainvoltageVD=À0.4Vanda?xedgatevoltageVEG=À0.4Vandmeasuringthedraincurrentonlinewhiledecreasingtheion-concentra-tionstepwisefromhightolowmolarities.AsanexampleatypicaltimeresponsecurveofaK+-selectiveOFETandanormalPt-gatedOFETtowardsdecreasingKClconcentra-tionsisshowninFig.2b.Theresponsecurvesforthediffer-entmembranetypesandtowardsdifferentionslooksimilar.ItisevidentfromtheonlinemeasurementsthatonlytheIS-OFETshowsaclearresponsetoachangeintheionconcentration,withasensitivitylimittowardsits+À10

curvesaredepictedinFig.S2(seeSupportingInformation).Takingintoconsideration,thatalongwithchangesintheionconcentrationthepHvalueofthetestsamplesmayalsovary,wetestedthein?uenceofpHalterationsontheresponseoftheIS-OFETaswellastheunfunctionalizedPt-gatedOFET(seeSupportingInformation,Fig.S1).TheobtainedpHsensitivityofabout15%perpHdoesnotex-ceedtheonealreadypublishedforanunfunctionalizedelectrolyte-gatedP3HTOFET[7].Consideringthatoverallchangesofthetestsolutionsarewithintherangeof0.5pHunits,thisgivesanegligibleerror.3.1.Potassiumsensing

Fig.3ashowsexemplarilytheresponseofaPVC-basedK-selectiveOFETtowardsdifferentionswitheitherthesamechargeastheprimaryion(K+vs.Na+)ortoaninter-feringionwithadifferentcharge(Ca2+).ThevaluesofISDwereextractedfromthecorrespondingonlinemeasure-mentsaftera5minequilibrationtimeandnormalizedwithrespecttothedraincurrentataconcentrationof10À4M.AsareferencetheresponseofanormalOFETgatedwithapristinePt-wiretowardsdifferentKClconcentra-tionsisshown(blackdots).

TheK+-selectiveOFETshowsalinearresponsetothelogarithmoftheK+ionactivityintherangeof10À5M–10À1M.ThesensitivitytowardsNa+orCa2+ionsisnotonlylesspronouncedoverthewholeconcentrationrange,com-+paredwithanormalPt-gatedOFETtheion-selectiveOFETshowsahighersensitivitytowardsallthreeions.Thisisprobablycausedbyasuperpositionoftheion-sensitivere-sponseofthetransistor[11]withtheresponseatthefunc-tionalizedgate-electrodeduetochangesofthepotentialattheion-selectivemembrane.Thesensingmechanismreliesonpartitionequilibriumbetweenthemembraneandthesolution,withastronginteractionbetweentheanalyteionsandtheionophore,resultinginamembranepotentialdependentontheanalyteconcentration.Thispotentialeitherlowersorincreasestheeffectivegatepotential,whichispresentatthesemiconductingchannel.Theincor-porationofpositivelychargedprimaryionsresultsinamembranepotential,whichgetsmorepositivebyanincreasingprimaryionconcentrationpresentinthesam-ple[35].TherightpanelofFig.3acomparesthemeanva-lueandthestandarddeviationoftheresponseofthreedifferentK+-selectiveOFETs.Themaximumsensorre-sponseisgivenbythedifferencebetweenthedraincurrentvalueforaKClconcentrationof10À10Mand10À1M.Theseresultsdemonstratethattheoverallresponsestowardsthesametypeofionofdifferentdevicesarecomparable;moreoverthesensorresponseofeachsinglemembrane-modi?edOFETisreversibleandrepeatable(seeSupportingInformation,Fig.S3).

Ofteninbiologicalbuffersystemsorincell-culturemonitoringarelativelyhighconcentrationofvariousback-groundionsispresent,forexamplethecommonly

内容需要下载文档才能查看

used

10mMphosphatebufferedsaline(PBS,pH7.4)hasanionicbackgroundof138mMNaCland2.7mMKCl.SincetheionsK+andCa2+areprominentsecondmessengersforcell–cell-communicationevents,sensitivityandselec-tivityoftheion-selectiveOFETshouldalsobeguaranteedundertheseconditions,e.g.inPBS-bufferedelectrolytes.Thereforesamplesolutionsconsistingofdifferentprimaryionconcentrations(concentrationrange10À1–10À10M)witha?xedionicbackgroundof150mMNaClwerepre-pared.Toanalyzeifthesensor0sresponsegetsin?uencedbytheionicbackground,theresponseoftheK+-selectiveOFETtowardsdifferentconcentrationsofprimaryionsinsolutionswithandwithoutanionicbackgroundarecomparedinFig.3b.

ForhighKClmolaritiesaslightlylowerresponseto-wardsdifferentionconcentrationswasobtainedandatmolaritiesCKCl<10À4MthesensitivitytowardsdifferentK+activitiessaturatesifthesolutioncontainsaconstantio-nicbackgroundof150mMNaCl.TherightpanelofFig.3bdepictsthemeanvalueandthestandarddeviationoftheresponseofthreedifferentK+-selectiveOFETseitherwithorwithoutionicbackground.Theoverallresponseob-tainedforthemeasurementinanionicbackgroundof150mMNaClisonlybyabout10%lowerthantheresponsetowardsdifferentconcentrationsofprimaryionsdilutedinpureDI-water.

3.2.Calciumsensing

TheresponseofaCa2+-selectiveIS-OFETtowardsdiffer-entprimaryionactivitiesordifferentconcentrationsofinterferingions(K+andNa+)isplottedinFig.4a,heretheresponseofanormalPt-gatedOFETtowardsdifferentCaCl2concentrationsisshownasareferencecurve.Athighconcentrationsagoodselectivitybetweeninterferingandprimaryionswasobtainedbutationactivitiesbelow10À6MtheIS-OFET’sresponsetowardsitsprimaryionisquitesimilartotheoneobtainedfortheinterferingions.TheresponseofaCa2+-selectiveIS-OFETtowardsitspri-maryionshouldbegenerallyweakerthantheoneofaK+-selectiveIS-OFETtowardsitsprimaryion.ThemaximumpossibleshiftinthemembranepotentialforamonovalentionisgivenbytheNernstlimit,whichpredictsashiftofÀ59.5mV/decat300K,fordivalentionstheNernstequationsuggestsatheoreticalresponselimitofÀ29.8mV/dec[36].

TherightpanelofFig.4acomparesthemeanvalueandthestandarddeviationoftheresponseofthreedifferentCa2+-selectiveOFETs.AgainthemaximumsensorresponseisgivenbythedifferencebetweenthedraincurrentvalueforaCaCl2concentrationof10À10Mand10À1M.

Toanalyzeifthesensor’sresponseisin?uencedbytheionicbackground,theresponseoftheCa2+-selective

内容需要下载文档才能查看

OFET

版权声明:此文档由查字典文档网用户提供,如用于商业用途请与作者联系,查字典文档网保持最终解释权!

下载文档

热门试卷

2016年四川省内江市中考化学试卷
广西钦州市高新区2017届高三11月月考政治试卷
浙江省湖州市2016-2017学年高一上学期期中考试政治试卷
浙江省湖州市2016-2017学年高二上学期期中考试政治试卷
辽宁省铁岭市协作体2017届高三上学期第三次联考政治试卷
广西钦州市钦州港区2016-2017学年高二11月月考政治试卷
广西钦州市钦州港区2017届高三11月月考政治试卷
广西钦州市钦州港区2016-2017学年高一11月月考政治试卷
广西钦州市高新区2016-2017学年高二11月月考政治试卷
广西钦州市高新区2016-2017学年高一11月月考政治试卷
山东省滨州市三校2017届第一学期阶段测试初三英语试题
四川省成都七中2017届高三一诊模拟考试文科综合试卷
2017届普通高等学校招生全国统一考试模拟试题(附答案)
重庆市永川中学高2017级上期12月月考语文试题
江西宜春三中2017届高三第一学期第二次月考文科综合试题
内蒙古赤峰二中2017届高三上学期第三次月考英语试题
2017年六年级(上)数学期末考试卷
2017人教版小学英语三年级上期末笔试题
江苏省常州西藏民族中学2016-2017学年九年级思想品德第一学期第二次阶段测试试卷
重庆市九龙坡区七校2016-2017学年上期八年级素质测查(二)语文学科试题卷
江苏省无锡市钱桥中学2016年12月八年级语文阶段性测试卷
江苏省无锡市钱桥中学2016-2017学年七年级英语12月阶段检测试卷
山东省邹城市第八中学2016-2017学年八年级12月物理第4章试题(无答案)
【人教版】河北省2015-2016学年度九年级上期末语文试题卷(附答案)
四川省简阳市阳安中学2016年12月高二月考英语试卷
四川省成都龙泉中学高三上学期2016年12月月考试题文科综合能力测试
安徽省滁州中学2016—2017学年度第一学期12月月考​高三英语试卷
山东省武城县第二中学2016.12高一年级上学期第二次月考历史试题(必修一第四、五单元)
福建省四地六校联考2016-2017学年上学期第三次月考高三化学试卷
甘肃省武威第二十三中学2016—2017学年度八年级第一学期12月月考生物试卷

网友关注视频

沪教版八年级下册数学练习册一次函数复习题B组(P11)
精品·同步课程 历史 八年级 上册 第15集 近代科学技术与思想文化
3月2日小学二年级数学下册(数一数)
二次函数求实际问题中的最值_第一课时(特等奖)(冀教版九年级下册)_T144339
飞翔英语—冀教版(三起)英语三年级下册Lesson 2 Cats and Dogs
外研版英语三起6年级下册(14版)Module3 Unit1
沪教版八年级下次数学练习册21.4(2)无理方程P19
【部编】人教版语文七年级下册《泊秦淮》优质课教学视频+PPT课件+教案,广东省
北师大版数学四年级下册3.4包装
外研版英语七年级下册module3 unit2第二课时
第19课 我喜欢的鸟_第一课时(二等奖)(人美杨永善版二年级下册)_T644386
沪教版牛津小学英语(深圳用) 四年级下册 Unit 7
苏科版数学七年级下册7.2《探索平行线的性质》
19 爱护鸟类_第一课时(二等奖)(桂美版二年级下册)_T3763925
第五单元 民族艺术的瑰宝_16. 形形色色的民族乐器_第一课时(岭南版六年级上册)_T3751175
外研版英语三起5年级下册(14版)Module3 Unit2
青岛版教材五年级下册第四单元(走进军营——方向与位置)用数对确定位置(一等奖)
外研版英语七年级下册module1unit3名词性物主代词讲解
外研版英语三起5年级下册(14版)Module3 Unit1
二年级下册数学第二课
沪教版牛津小学英语(深圳用) 五年级下册 Unit 10
8.练习八_第一课时(特等奖)(苏教版三年级上册)_T142692
【部编】人教版语文七年级下册《老山界》优质课教学视频+PPT课件+教案,安徽省
冀教版小学数学二年级下册第二单元《有余数除法的整理与复习》
人教版历史八年级下册第一课《中华人民共和国成立》
《小学数学二年级下册》第二单元测试题讲解
第五单元 民族艺术的瑰宝_15. 多姿多彩的民族服饰_第二课时(市一等奖)(岭南版六年级上册)_T129830
冀教版英语四年级下册第二课
第4章 幂函数、指数函数和对数函数(下)_六 指数方程和对数方程_4.7 简单的指数方程_第一课时(沪教版高一下册)_T1566237
冀教版小学英语五年级下册lesson2教学视频(2)