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> 高等教育> 生物学> Concentration_of_anthocyanins_by_the_membrane_filtration.1膜分离

Concentration_of_anthocyanins_by_the_membrane_filtration.1膜分离

上传者:傅彩霞
|
上传时间:2015-05-05
|
次下载

Concentration_of_anthocyanins_by_the_membrane_filtration.1膜分离

内容需要下载文档才能查看 内容需要下载文档才能查看

SeparationandPuri cationTechnology57(2007)

内容需要下载文档才能查看

418–424

Concentrationofanthocyaninsbythemembrane ltration

BarbaraGilewicz- ukasik,Stanis awKoter ,JacekKurzawa1

FacultyofChemistry,N.CopernicusUniversity,7GagarinSt.,87-100Toru´n,Poland

Abstract

Nowadaystheuseofsyntheticdyesinthefoodindustryispopular.Asthesecompoundscancausethedevelopmentofvariousdiseases,including

thecancerorheartdisease,itisapressureonthetechnologiesofrecoveryofnaturaldiesfromthenaturalresources(fruits,vegetables,etc.).Oneofthevaluablenaturaldyesareanthocyanins,whicharepresentinthearoniafruitsavailableinabundantamountsinPoland.Inthisworktheinvestigationsontheconcentrationofanthocyaninsbynano ltrationhavebeenpresented.ThearoniasolutionscontainingNa2SO3–oneofthemostef cientextractantsofanthocyanins–havebeenused.Inordertodetermineitsin uenceontheretentionofanthocyanins,the ltrationofaroniasolutionwithandwithoutNa2SO4hasbeenalsoperformed.Theretentionsofanthocyanins,sodiumionsandionicspecieshavebeeninvestigated.Ithasbeenfoundthatinthepresenceofsodiumsulfate(IV)anthocyaninsarealmostcompletelyrejected(>99%).Inthecaseofpuresolutionorcontainingsulfate(VI)theretentionislower(91–95%).Thus,sodiumsulfate(IV)isnotonlyagoodextractantandpreservebutalsoitspresencehighlyincreasestheef ciencyofthe ltrationprocess.©2006ElsevierB.V.Allrightsreserved.

Keywords:Anthocyanins;Nano ltration;Membrane;Aronia

1.Introduction

IntheEuropeanCommunitytheinvestigationsonthesafetyoffoodregardingthetoxicologyoffunctionalingredientswerestartedin2002.Thefoodadditivesunderinvestigationincludealsothegroupofsyntheticdies.Theresultsofstudiesshowthatthesecompoundscancausethedevelopmentofvariousdiseases,includingthecancerorheartdisease.Thus,thereisapressureonthetechnologiesofrecoveryofnaturaldiesfromthenaturalresources(fruits,vegetables,etc.).

Aronia(blackchokeberry)isaviolet-blackfruit-berrynativetoNorthAmerica.Itcancontainupto800mgantho-cyanins/100gfreshweight[1]andhasalowtendencytobrown-ing[2].TheanthocyaninsofaroniaconsistsmainlyofCy3-galactoside(64.5%)andCy3-arabinoside(28.9%)[3];theothersareCy3-glucosideandCy3-xyloside.Thebasicantho-cyanidinstructure– avyniumcation–isshowninFig.1[4].Inneutralandbasicconditionstheanthocyaninsareunsta-ble.Theyundergostructuralconversionschangingthecolor.TheschemeofstructuralchangeofanthocyaninswithpHispresentedinFig.2[4].Inacidsolutions(pH<2),antho-cyaninsexistprimarilyintheformoftheredoryellow awyliumcation

1

(AH+).AthigherpHitlossesprotonandthebluequantoidalform(A)arises.The avyliumcationcanalsoeasilyundergoahydrationreactiongivingthecolorlesschromenol(B),beinginequilibriumwiththecolorlesschalconeform(C).

Manystudiesshowthepositiveeffectofanthocyaninsonhumanhealthbecauseofantioxidant,anti-in ammatoryandanticancerproperties(e.g.[5–7]andreferencestherein).Thesepropertiesbesidestheaestheticfunctionmaketheanthocyaninsaveryvaluablecomponentoffood.

Inthisworktheinvestigationsontherecoveryofantho-cyaninsfromthearoniafruits,availableinabundantamountsinPoland,arepresented.Theworkisfocusedonconcentrat-ingofanthocyaninsbynano ltration.Astheanthocyaninscanbeextractedusingdifferentchemicals,oneofthecomponentofaroniasolutionswassodiumsulfate(IV)Na2SO3,oneofthemostef cientextractants[8].Forcomparisontheconcentrationofaroniasolutionscontainingsodiumsulphate(VI)Na2SO4andpurearoniasolutionshavebeenalsoperformed.2.Experimental

2.1.Sourceofanthocyanins

Thearoniafruitshavebeenmixedusingajuicier,thedistilledwaterhasbeenadded3kgper1kgoffrozenfruits.Thenthesolidparticleshavebeenremovedbydecantationand ltration

Correspondingauthor.Tel.:+48566114318;fax:+48566542477.E-mailaddress:skoter@chem.uni.torun.pl(S.Koter).Presentaddress:“Agrohansa-Toru´n”Sp.zoo,Toru´n,Poland.

1383-5866/$–seefrontmatter©2006ElsevierB.V.Allrightsreserved.doi:10.1016/j.seppur.2006.03.026

B.Gilewicz- ukasiketal./SeparationandPuri cationTechnology57(2007)418–424

内容需要下载文档才能查看

419

Fig.3.SchemeofUFprocess.

themembranearea—100cm2.Thepermeateofthatprocesshasbeenusedasafeedforthenano ltration.2.3.Nano ltration

IntheNFexperimentthedead-endcell(SEPASTOsmonics)hasbeenused(Fig.4).Themembraneareawas12cm2,thevol-umeofthefeedinthecellwas310cm3,theappliedpressure—upto20bar.ThemembraneBQ01fromOsmonicsInc.hasbeenused.Themembranecellwasthermostattedat25±1 C.Therotationspeedofmagneticstirrerwas700rpm.

Theretentioncoef cientofelectrolytesinthe ltrationofthepuresolutions(withoutaronia)wascalculatedfromtheformula:Robs=1

cpf

(1)

Fig.1.Flavyniumcation[4].

throughporousmaterial.Thechemicalcomponentsofaroniafruitsarenumerous(sugars,organicacids,VitaminC,B2,B6,E,PP,P,catechins,quercetin,tannins,pectins,etc.).Toincreasetheef ciencyofnano ltration,someofthem(ofhighmolecularweight)havebeenremovedbyultra ltration.2.2.Ultra ltration

TheUFexperimenthasbeenperformedusingthecross- owset-up(theBIO-2000TM,Bio-FloLtd.TM)(Fig.3).The atmembranecellhasbeenmadeinourworkshop.Thepoly-sulfonemembranehasbeenobtainedbythephase-inversionmethod(10wt.%solutionofpolysulfoneUdel1700inDMF,precipitatingagent–water).Theoperatingpressurewas1

内容需要下载文档才能查看

bar,

wherecpandcfaretheconcentrationsofpermeateandfeed,respectively,determinedconductometricallyusingthecalibra-tioncurve.Theconductancewasmeasuredwiththeconduc-tometerELMETRONCX-731(Elmetron,Poland).

The ltrationofaroniasolutionswasperformedintwoways.Inthe ltrationBthefeedisapermeatefromtheUFprocess.Itwasperformedseveraltimes.InFigs.6–9eachrunofthe ltra-tionBisdenotedbyRomannumeral.Theprocesswas

内容需要下载文档才能查看

conducted

Fig.2.Schemeofstructuralchangeofanthocyaninsinaqueoussolutions[4].

420B.Gilewicz- ukasiketal./SeparationandPuri cationTechnology57(2007)

内容需要下载文档才能查看

418–424

whereApandAfaretheabsorbancesatλmax(=ca.510nm)ofpermeateandfeed,respectively,afterthecorrectionforthedilutionofsamples.

Todeterminetheretentionofsodiumcationstheirconcen-trationwasdeterminedbytheAASmethod.

Theconductanceofsolutions,containingaronia,havealsobeenmeasured.Fromthesemeasurementsthecoef cientRobs,Gindicatingtheretentionofionicsubstanceswasdetermined:Robs,G=1

Gpf

(3)

whereGpandGfaretheconductancesofpermeateandfeed,respectively.

2.4.ThemeasurementofapparenttransportnumberofNa+TheapparenttransportnumberofNa+,¯tNa+,app,hasbeendeterminedbytheemfmethod.Themembranepotential,Em,hasbeenmeasuredinthesystem:

Hg|Hg2Cl2(s)|KClsat.||Na2SO40.014m|membrane

Fig.4.SchemeofNFprocess.(1)N2cylinder,(2)magneticstirrer,(3)mem-branecell,(4)permeatevessel,(5)balance,(6)computer,and(7)thermostat.

|Na2SO40.027m||KClsat.|Hg2Cl2(s)|Hg

¯tNa+,apphasbeencalculatedaccordingtotheformula[9]:

2Em1

¯+t+,app=(4)

3i2

m /(γ m )),γdenotesthemeanwhereEi= (RT/F)ln(γ±±±

activitycoef cient,takenfrom[10].

untilca.64%ofpermeatewasobtained(ca.210gfrom310goffeedatthebeginningofprocess).Theretentateofthis ltra-tionwasgatheredandthen lteredagain( ltrationdenotedasC)—untilca.60–70goffeedwasleftinthecell.

Theretentioncoef cientofanthocyaninswasdeter-minedspectrophotometricallyusingthespectrophotometerSHI-MADZUUV-2101PC.Beforemeasurementsthesamplewasappropriatelydilutedandthenacidi edtopH1using1MHCl.Theretentioncoef cientofanthocyanins,Robs,A,wascalculatedfromtheformula:Robs,A

Ap

=1

f

(2)

3.Resultsanddiscussion

3.1.CharacteristicsofmembraneBQ01inpureelectrolytesolutions

At rstwaterandthepuresolutionsofNa2SO4andNa2SO3solutionshavebeen ltered.ThechangesofJv/ pandofRobsinthe ltrationareshowninFig.5

内容需要下载文档才能查看

.

Fig.5.Dependenceof:(a)Jv/ pand(b)RobsonthefeedconcentrationforNa2SO3(hollowsymbols)andNa2SO4solutions( lledsymbols); p=10bar( )and20bar( );dottedlinesintheleft guredenoteLp=Jv,0/ pforthepurewaterdetermined:(1)before ltrationofelectrolytesand(2)2weekslater.

B.Gilewicz- ukasiketal./SeparationandPuri cationTechnology57(2007)418–424

内容需要下载文档才能查看

421

Fig.6.TimechangesofJv/ pduringthe ltrationofaroniasolutionscontaining:(a)Na2SO3and(b)Na2SO4; ltrationofpurearoniasolutionisdenotedbysolidline,romannumeraldenotetherunof ltration“B”.

Inthe rst2weeksofexperimentsthehydrodynamicper-meabilityofthemembraneBQ01decreasedsubstantially.Thepermeabilitycoef cientofpurewaterLp=Jv,0/ p(markedinFig.5awithdottedline)decreasedfromca.4.3×10 11to2.6×10 11m3s 1N 1after2weeks.ThesameisobservedfortheNa2SO4solutions.Atthatinitialperiodthemembranewasmoreleaky,asitisindicatedbytheobservedretentioncoef- cientRobsofNa2SO4lowerthanthatofNa2SO3(Fig.5b),determined2weekslater.Therepeatedexperiments,performed“day-after-day”,showedthattheretentionofbothelectrolytesissimilar.

TheconcentrationandpressuredependenceofJv/ p(Fig.5a)canbeexplainedintermsoftheKedem–Katchalskyequations,accordingtowhichJv/ pisequal,whereLpishydro-dynamicpermeabilitycoef cient,σthere ectioncoef cient,and πistheosmoticpressuredifferenceofsolutionsseparatedbythemembrane.Thus,thedecreaseofJv/ pwithconcen-trationcanbeexplainedbytheincreased πwhichhampersthevolume ow.TheincreaseofJv/ pwith pmeansthat π(itisnotconstantbecausetheconcentrationsatthesur-faceofmembranechangeswith p)slowerincreasesthan p.Itisinaccordancewiththelowerretentionofelectrolytesathigher p(Fig.5b).Thisbehaviouroftheobservedreten-tioncoef cient,Robs,isincontradictiontothatexpectedfortherealretentioncoef cient,R.Accordingtotheexpression[11]:R=σ

1 F1 σF

(5)

wherekisthemasstransfercoef cient.Forsimplicityletusconsiderthecaseσ=1:

1

(6a)limRobs=exp(J1+Psσ→1vvFromthatformulaonecanconcludethatRobsdecreaseswith

Jv(or p),iftheconditionJv/k>1issatis ed.ThedecreaseofRobswiththefeedconcentrationisacommonfeatureandcanbeexplainedbytheincreasedsorptionofelectrolyteintothemembrane.

3.2.Nano ltrationofmixedaronia-electrolytesolutionsThe ltrationofsolutionscontainingaroniaandelectrolyte(Na2SO3orNa2SO4)wereperformedapplyingalwaysthesamesampleofmembraneunderthepressure p=20bar.Theelec-trolyteconcentrationwaschosentobe0.027mol/dm3—similarconcentrationsofNa2SO3areusedintheextractionofantho-cyanins.Theexperimentswereperformedintheorder:(1)aronia+Na2SO3solution,(2)aroniasolution,and(3)aro-nia+Na2SO4solution.

InFig.6thedependenceofJv/ pontimeofthe ltrationispresented.(thesymbolsof ltration“B”and“C”areexplainedintheexperimentalpart).Theexpectedfeatureofthat ltrationisthedecreaseofJv/ pwithtime,notmetwhenthepureelec-trolytesolutionswere ltered.ThisindicatesthatthefoulingofmembraneproceedscausedbytheparticlesofdyeorotherspeciesnotremovedintheUFpuri cationofaroniasolution.Aftereach ltrationBthesurfaceofmembranewasmechan-icallycleaned,thusthevaluesofJv/ paresimilar.ItistobenoticedthatinthepresenceofNa2SO3Jv/ pishigherthaninthepresenceofNa2SO4.Apartfromtheageingeffectofmembraneanotherreasoncanbealowerosmoticpressuredifferenceact-ingagainstthehydrodynamicpressure.Thedecreasedosmoticpressureresultsfromtwofacts:

(1)Na2SO3isasaltofweakacidH2SO3(pKa,1=1.9,

pKa,2=7.2[13])andasthepHofaroniasolution+0.027M

whereF=exp( jv(1 σ)/Ps),Psisthepermeabilitycoef cientofelectrolyte,RalwaysincreaseswithJvand,consequently,with p.OntheotherhandRobs,disturbedbythepolarizationlayeratthemembrane[12]isRobs=σ

1 F

(1 σ)exp(Jv(6)

422B.Gilewicz- ukasiketal./SeparationandPuri cationTechnology57(2007)

内容需要下载文档才能查看

418–424

Fig.7.TimechangesofRobs,GandRobs,Na+duringthe ltrationofaroniasolutionscontaining:(a)Na2SO3and(b)Na2SO4; ltrationofpurearoniasolutionisdenotedbysolidline.

Na2SO3islow(ca.3.7),practicallyonlyHSO3 ionsexist;

(2)somefractionofHSO3 areboundwiththe avyliumcation

AH+[8].Boththeseeffectsreducethenumberofionsandthustheosmoticpressuredifferencebetweenthefeedandpermeate.Inthe ltrationofpreconcentratedsolution( ltrationC)Jv/ pispracticallynotin uencedbythepresenceofelectrolyte.OneshouldnoticethatinthecaseofNa2SO3thedecreaseofJv/ pcomparingtoBissubstantial(ca.50%).

3.2.1.Retentioncoef cients

Theretentionofanthocyanins(Robs,A),sodiumions(Robs,Na+)andofionicspecies(Robs,G)wasinvestigated.At rstletusdiscusstheionicretention.Itisimportanttoknowtowhatextenttheconcentratedsolutionofanthocyaninswillbepuri edofionicspecies.

Thearoniasolution(withoutelectrolyte)containssomeionicspecies—itsconductance(1.4mS)isonlyca.5timessmallerthanthatwithNa2SO4(7mS).Theconductanceofaroniasolu-tioncontainingNa2SO4isca.45%higherthanthatwithNa2SO3(4.8mS),whereastheconductanceofpureNa2SO4solution(5.8mS)isonly16%higherthanthatofNa2SO3(5.0mS).Thisdifferencecanbeexplainedby:

(1)theconcentrationofverymobileH+inthearonia+Na2SO3

solutiondecreases(pHchangesfrom2.9to3.7)becauseasitwasmentionedearlieratpH3.7onlyHSO3 ionsexist,(2)theHSO3 ionsformwith avyliumcationsanuncharged

species.Thus,itcanbealsoexplainedwhyRobs,G(Na2SO3)(ca.0.5–0.6,Fig.7a)islowerthanRobs,G(Na2SO4)(ca.0.8,Fig.7b):(1)theunivalentionsHSO3 easierpenetratethemembrane

thanthedivalentSO42 ,

(2)havinginmindthattheretentionofionicspeciesofpure

aroniasolutionislow(ca.0.4),thebindingofHSO3 withAH+increasesthenthecontentofmorepenetrableions,thusleadingtothedecreaseofRobs,G.Inthe ltrationBtheretentionofNa+(Na2SO4)ishigherthanthatinthecaseofNa2SO3.Itcon rmsthatSO42 aremorerejectedthanHSO3 .InviewofmodelcalculationsbyTsuruetal.[14],basedontheextendedNernst–PlanckequationandontheassumptionofDonnanequilibrium,thisobserva-tionsuggeststhatthemembraneischargednegatively.ItisinagreementwiththedeterminedvaluesoftheapparenttransportnumberofNa+(discussedfurtherinthetext).Inthe ltrationC(moreconcentratedfeed)Robs,Na+andRobs,GarepracticallythesamewhichmeansthatNa+andSO42 arerejectedtothesameextent—inthefeedofCthemolarratioofionscomingfromthearoniaisdecreasedbecauseinthe ltrationBtheywerelessrejectedthanSO42 .ThedecreaseofRobs,Ginthe ltrationCcomparingtoBiscausedbythehigherconcentrationofSO42 inthefeedbuttheretentionofNa+ispracticallythesame.Toshowhowthestateofthemembraneafterthe ltrationofsolutionscontainingaroniawaschanged,againthe ltra-tionofpureelectrolytesolutions(0.027MNa2SO3and0.027MNa2SO4)wasperformedonthesamesampleofmembrane,atthesamepressure20bar.Itwasfoundthat:

Jv/ pisca.7timessmallerthanthatbeforethearonia ltra-tion(Fig.5

内容需要下载文档才能查看

a),

Fig.8.Reactionof avyliumcationwithHSO3 .

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

2016考研 新闻传播学院校推荐上海大学
2016考研经济学 国际金融学问答题四
2016全国硕士研究生入学统一考试MBA、MPA、MPAcc管理类专业学位联考 数学365题节选
2015年广东财经大学mba招生简章-中公管理人
2016全国硕士研究生入学统一考试MBA、MPA、MPAcc管理类专业学位联考 写作范文100篇节选
2016全国硕士研究生入学统一考试MBA、MPA、MPAcc管理类专业学位联考 逻辑1001题节选
重庆大学mba招生简章
2016考研经济学 国际金融学问答题十一
2014年吉林财经大学mba招生简章
2016考研经济学 国际金融学问答题九
2016考研经济学 国际金融学问答题五
2014年辽宁石油化工大学MBA招生简章
mba英语剖析
2016考研经济学 国际金融学问答题八
2016全国硕士研究生入学统一考试MBA、MPA、MPAcc管理类专业学位联考 写作概述
2016考研 新闻传播学院校推荐武汉大学
2016全国硕士研究生入学统一考试MBA、MPA、MPAcc管理类专业学位联考 综合能力模拟题试卷
2016考研经济学 国际金融学计算题一
2016全国硕士研究生入学统一考试MBA、MPA、MPAcc管理类专业学位联考 英语语法宝典
2016考研经济学 国际金融学问答题十二
2016全国硕士研究生入学统一考试MBA、MPA、MPAcc管理类专业学位联考 阅读理解高分必备
美国留学MPA项目申请研究
2016全国硕士研究生入学统一考试MBA、MPA、MPAcc管理类专业学位联考英语真题
2016考研经济学 国际金融学问答题二
2016全国硕士研究生入学统一考试MBA、MPA、MPAcc管理类专业学位联考 英语复习指南
2016全国硕士研究生入学统一考试MBA、MPA、MPAcc管理类专业学位联考 英语知识运用高分必备
2012年天津大学mba招生简章
人大外国语学院050201-英语语言文学报录比录取名单专业解析
全国硕士研究生入学统一考试MBA、MPA、MPAcc管理类专业学位联考英语 2014词汇考情分析及对策
考研英语_常用词组大全

网友关注视频

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
二年级下册数学第二课
北师大版数学 四年级下册 第三单元 第二节 小数点搬家
3.2 数学二年级下册第二单元 表内除法(一)整理和复习 李菲菲
北师大版数学四年级下册第三单元第四节街心广场
沪教版牛津小学英语(深圳用) 四年级下册 Unit 8
沪教版牛津小学英语(深圳用) 六年级下册 Unit 7
冀教版小学数学二年级下册第二单元《租船问题》
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
【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,辽宁省
【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
【部编】人教版语文七年级下册《过松源晨炊漆公店(其五)》优质课教学视频+PPT课件+教案,辽宁省
小学英语单词
化学九年级下册全册同步 人教版 第25集 生活中常见的盐(二)
苏科版数学七年级下册7.2《探索平行线的性质》
北师大版八年级物理下册 第六章 常见的光学仪器(二)探究凸透镜成像的规律
【获奖】科粤版初三九年级化学下册第七章7.3浓稀的表示
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
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
外研版英语七年级下册module3 unit1第二课时
【部编】人教版语文七年级下册《逢入京使》优质课教学视频+PPT课件+教案,安徽省
3月2日小学二年级数学下册(数一数)
沪教版八年级下册数学练习册21.4(1)无理方程P18
【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
【部编】人教版语文七年级下册《逢入京使》优质课教学视频+PPT课件+教案,辽宁省
三年级英语单词记忆下册(沪教版)第一二单元复习
沪教版八年级下册数学练习册21.3(2)分式方程P15
二年级下册数学第一课
冀教版小学数学二年级下册第二单元《有余数除法的竖式计算》
沪教版八年级下册数学练习册20.4(2)一次函数的应用2P8