版權(quán)說(shuō)明：本文檔由用戶(hù)提供并上傳，收益歸屬內(nèi)容提供方，若內(nèi)容存在侵權(quán)，請(qǐng)進(jìn)行舉報(bào)或認(rèn)領(lǐng)
文檔簡(jiǎn)介
初中數(shù)學(xué)內(nèi)容(Juniorhighschoolmathematicscontent)
Mathematicalknowledgeinductioninjuniorhighschool
Additionoperationofrationalnumbers
ThesamenumberLiangshulaisumofabsolutevaluewithconstant
number.
Numbersadded,large,reduced,bignumbers,decisionsand
symbols.
Theoppositeisthesumofnumbers,andtheresultiszero.
[note]"big"minus"small"referstotheabsolutesize.
Subtractionofrationalnumbers
Minusequalsplusminus,plusminusequalsplus.
Multiplicationofrationalnumbers;symboliclaws
Thesamenumberispositive,theoppositenumberisnegative,
oneiszero,andtheproductiszero.
collect
Speakingofthemergerofsimilaritems,thelawmustnot
forget.
Justaskforthecoefficientsalgebraandthealphabetindex
toremainthesame.
Goandaddthebracketrule
Tobracketoraddparentheses,thekeydependsontheconnection
number.
Thefrontisexpanding,plus,toaddparenthesesconstant
number.
Infrontofthebracketsisnegativetoaddbracketsare
variable.
Solveequations
Knownunknownseparation,separationdependsonthecompletion
ofthemove.
Howtochangeandshiftandchange,inadditiontomoving
variablebyvariable.
Squaredifferenceformula
Thedifferenceisequaltothenumberandmultiplication,
squaredifference.
Itisnotthesumofthetwotermsofaccretionanddifference.
Completesquareformula
Dimeroussumordifferencesquare,atotalofthreeofits
expansion.
Firstsquareandlastsquare,firstandlasttwotimes.
Thesumofsquaresofasumisfirstreducedandthenaddedto
thesumofsquares.
Completesquareformula
Thefirstsquareandthelastsquare,twotimesattheendof
thecenter.
Thesumofsquaresplusthesumofthefirstminusthesum
squared.
Solvingaunaryequation
Gotothedenominatorinparentheses,revenuervariableto
remember.
Similartothemerger,thecoefficientof"1"isnotgood.
Seektheunknown,betested,returnthevalue,andsoon.
Solvingaunaryequation
Gotothedenominatorinparentheses,transposethemergerof
similaritems.
Coefficientof1isnotgood,accurate,notwhitebusy.
Factoringandmultiplication
Sumdifferenceproductismultiplication,multiplication
itselfisoperation.
Integrationanddifferencearefactorization,factorization,
nonoperation.
Factorization
Twosquaresymboldifferent,factoringyoudon,tfear.
Twobottomandmultiplytwobottomdifference,decomposition
resultisit.
Twosquaresymbolwiththebottomoftheproduct2timessitting
inthecenter.
Thefactorizationcanordoesnot,thesymbolhasthearticle
above.
Thesameandthedifferencefirstsquare,butalsoplusplus
sign.
Sameregular,positiveandnegativeisnegative,butdifferent
needtoaddpowersymbol.
Factorization
Mentiontwosetsofthreegroups,crossmultipliedalsoonthe
number.
Fourmethodsarenotavailable,thedemolitionitemsTimitems
torestructure.
Trysolvingreorganizationhopeless,changeelementor
remainder.
Avarietyofflexiblemethods,theseresultsarethebasisfor.
Ifthesametypemultiplication,powersaidtoremember.
[note]twosetsofformulas(setsofformulas)
Factorization
Atwosetofthreegroups,alsothenumberofrootsofproduct.
Fivemethodsarenotavailable,thedemolitionitemsTimitems
torestructure.
Anantidoteagainstthediseasesteady,theseresultsarethe
basisfor.
Factorizationofthetwothreeterms
Thinkofthecompletesquareformula,andthecross
multiplicationisnext.
Twokindsofmethoddoesn，twork,trytorootdecomposition.
Ratioandproportion
Thedivisionisalsocalledthetworatioisequaltothe
proportionofcall.
Outgoingproductitemswithinaproduct,productofeightratio
etc..
Eachexchangeofinternalandexternalterms,allmustbecalled
morethan.
Atthesametimeexchangeofinternalandexternalterms,we
shouldcallitaninverseratio.
Beforeandafterthelatterandcalled,theratioconstant
ratio.
Beforeandaftercontrastratioisbetterthanthelatter.
Anequalratiooftwoentriestotwo.
Theratioandconsequentandratioofgeometricinvariant
called.
Solutionproportion
Outgoingproductitemwithintheproductlist,andsolvingthe
equation.
Seekingratio
Fromtheknowntoseektheratio,avarietyofwayscanbeused.
Usetheproportionofsevenproperties,variablereplacement
isalsopopular.
Eliminationisalsoagoodway,theywillwork.
Positiveratioandinverseproportion
Proportionaltotheagreedvariable,
Theproductisinverselyproportionaltothevariable.
Positiveratioandinverseproportion
Thequotientofthechangeprocessmustbeproportionaltothe
twovariables.
Theproductofachangemustbeinverselyproportionaltothe
twovariables.
Yourjudgmentisproportionalto
Fourthisproportionalto,increasingordecreasingsorting.
Bothendsoftheintermediateproductproduct,acertain
proportionofdigits.
Judgetheproportionofthefourformula
Thefourtypeisproportionalto,ordescendingsorting.
Attheendoftheproduct,suchasthemiddleproduct,thefour
formcanbeproportional.
Themean
Asaproportionoffour,thesamefacilitywillmeet.
Sometimesthebalancewillbethesame,notmeanproportional.
Themeanisveryimportant,willencounteravarietyof
occasions.
Asaproportionoffourinthesamefacility,therearemany.
Sometimesthebalancewillbethesame,themeanproportional.
Withthenumberofsquareofproduct,themeannoescape.
Radicalandirrational
Saidtherootofthealgebracanbecalledradical.
Isdifferentfromunreasonable,beopenwithoutlimit.
Therearelettersinthewaythatcanbecalledirrational.
Unreasonabletypeisradical,todistinguishthemwiththe
sign.
Therearelettersinthewayofopening,andtheycanbecalled
irrational.
Definedomain
Thedefinitionofthedomainisexquisite,andthefour
principlesmustbepaidattentionto.
Negativenumberscannotbesquared,denominatoriszero,
meaningless.
Thatisnotthebottomfractionofpositive,zerozeropower.
Therestrictionsarenotuniquetosatisfymultiple
inequalities.
Definethedomaintopass,andthefourprinciplesmustpay
attention.
Negativenumberscannotbesquared,denominatoriszero,
meaningless.
Thebottomfractionofpositive,zeronopowerofzero.
Restrictedcondition,nonuniqueness,solutionsetof
inequalitygroup.
Solvingaunaryinequality
Gotothedenominatorinparentheses,transposethemergerof
similaritems.
Thecoefficientof"1"attention,withnegativechangetobe.
Gotothedenominatorinparentheses,don'tforgettochange,
revenuer.
Thesamekindofmerger,coefficientof"1"attention.
Thesameistobewithouthindrance,withnegativechange,
multiplicationanddivision.
Solutionofoneyuaninequalities
Largerthanthehead,smallerthanthetail,thesizeofthe
middle,lookingfor.
Bigandsmallwithoutsolution,thefourkindofsituationall
came.
Takethesamedirection,taketheoppositedirectionandtake
themiddle.
Thereisnoelementinthemiddle,nosolutionappears.
Childreninkindergartenaresmall
Oldpeople'shomesareproudofoldage
Therewerenooldsoldiersinthecamp,(small,big,that,sit)
Largesizesolutioninspace,(small,big,wow!)
Solutionofatwodegreeinequality
Firstintogeneral,constructorsecondstops.
Ifthediscriminantvalueisnotnegative,thecrosssection
ofthecurvehasanintersectionpoint.
Aisopening.It'supandoverzero.Takebothsides.
Ifthealgebraicformulaislessthanzero,thesolutionsets
areintersectionnumbers.
Ifthesquarehasnorealroot,thebigzerosolutiononthe
mouthisall.
Lessthanzerowillhavenosolution.Theopeningisthe
opposite.
Factoringbythesquaredifferenceformula
Differentnumberstwosquareterms,factoring,thereareways.
Twobottomandmultiplytwobottomdifference,decomposition
resultisit.
Factorizationbymeansofthesquareformula
Twosquareitemsatbothends,bottom2timesinthemiddle.
Thesameistruebetweenthetwobaseandthesquare,thetotal
negativeandtheoppositenumber.
Dividedintotwobasedifferencesquare,founderdoubleproduct
tonegative.
Thetwosidesarenegative,themiddleisright,andthebase
differenceistheopposite.
Onesquareanothersquare,thebottomproduct2timesinthe
middle.
Attheendoftwoandthreesquare,fullofnegativeandopposite
party.
Dividedintotwobasedifferencesquares,bothendsare
positivetimes,productnegative.
Ifbothsidesarenegative,themiddleisrightandthebase
differenceistheopposite.
Solutionoftwoequationofoneelementbyformula
Tosolvetheequationbyformula,itisfirstgeneralized.
Thecoefficientofadjustmentfollows,makingitthesimplest
ratio.
DeterminetheparameterABC,andcalculatetheequation
discriminant.
Thediscriminantvalueandthezeroratioareknown.
Arealrootcanbesetformula,thereisnorealroottobe
reported.
Solvingtheequationoftwovariablesofoneelementwiththe
conventionalmethod
Left,left,rightfirstseparated,
Two,"1"isnext.
Abinarysquare,onbothsideswithnoproblem.
Therighttoopendirectdecompositionmerger,problemsolving.
Thissolutioniscalledformula,anditismorepracticewhen
solvingequation.
Solutionoftwoequationofoneelementbyindirect
distributionmethod
Theknownunknownsarefirstseparated,andthefactorization
isfollowed.
Adjustmentcoefficients,suchasreciprocalanddifference
sets,identities.
Completesquareequalconstant,indirectformula,obvious
advantage
[notes]identities
Solvingthetwoequationofonevariable
Nooneitem,themostidealdirectextraction.
Ifaconstanttermismissing,factoringisnotdiscussed.
B,Careequaltozero,andsorootiszero,don'tforget.
BandCarenotzero,factoringorformulaatthesametime,
Canalsobedirectlysetformula,dependingontheproblem
varieschoicerecipe.
Identificationofpositiveproportionfunction
Checkthepositiveproportionfunction,andtestitintwo
steps.
Aquantityrepresentsanotherquantity,
Juniorhighschoolmathematicsformula
ShanghaiTongZhoumodelschoolSongLifeng
Additionoperationofrationalnumbers
ThesamenumberLiangshulaisumofabsolutevaluewithconstant
number.
Numbersadded,large,reduced,bignumbers,decisionsand
symbols.
Theoppositeisthesumofnumbers,andtheresultiszero.
[note]"big"minus"small"referstotheabsolutesize.
Subtractionofrationalnumbers
Minusequalsplusminus,plusminusequalsplus.
Multiplicationofrationalnumbers;symboliclaws
Thesamenumberispositive,theoppositenumberisnegative,
oneiszero,andtheproductiszero.
collect
Speakingofthemergerofsimilaritems,thelawmustnot
forget.
Justaskforthecoefficientsalgebraandthealphabetindex
toremainthesame.
Goandaddthebracketrule
Tobracketoraddparentheses,thekeydependsontheconnection
number.
Thefrontisexpanding,plus,toaddparenthesesconstant
number.
Infrontofthebracketsisnegativetoaddbracketsare
variable.
Solveequations
Knownunknownseparation,separationdependsonthecompletion
ofthemove.
Howtochangeandshiftandchange,inadditiontomoving
variablebyvariable.
Squaredifferenceformula
Thedifferenceisequaltothenumberandmultiplication,
squaredifference.
Itisnotthesumofthetwotermsofaccretionanddifference.
Completesquareformula
Dimeroussumordifferencesquare,atotalofthreeofits
expansion.
Firstsquareandlastsquare,firstandlasttwotimes.
Thesumofsquaresofasumisfirstreducedandthenaddedto
thesumofsquares.
Completesquareformula
Thefirstsquareandthelastsquare,twotimesattheendof
thecenter.
Thesumofsquaresplusthesumofthefirstminusthesum
squared.
Solvingaunaryequation
Gotothedenominatorinparentheses,revenuervariableto
remember.
Similartothemerger,thecoefficientof"1"isnotgood.
Seektheunknown,betested,returnthevalue,andsoon.
Solvingaunaryequation
Gotothedenominatorinparentheses,transposethemergerof
similaritems.
Coefficientof1isnotgood,accurate,notwhitebusy.
Factoringandmultiplication
Sumdifferenceproductismultiplication,multiplication
itselfisoperation.
Integrationanddifferencearefactorization,factorization,
nonoperation.
Factorization
Twosquaresymboldifferent,factoringyoudon,tfear.
Twobottomandmultiplytwobottomdifference,decomposition
resultisit.
Twosquaresymbolwiththebottomoftheproduct2timessitting
inthecenter.
Thefactorizationcanordoesnot,thesymbolhasthearticle
above.
Thesameandthedifferencefirstsquare,butalsoplusplus
sign.
Sameregular,positiveandnegativeisnegative,butdifferent
needtoaddpowersymbol.
Factorization
Mentiontwosetsofthreegroups,crossmultipliedalsoonthe
number.
Fourmethodsarenotavailable,thedemolitionitemsTimitems
torestructure.
Trysolvingreorganizationhopeless,changeelementor
remainder.
Avarietyofflexiblemethods,theseresultsarethebasisfor.
Ifthesametypemultiplication,powersaidtoremember.
[note]twosetsofformulas(setsofformulas)
Factorization
Atwosetofthreegroups,alsothenumberofrootsofproduct.
Fivemethodsarenotavailable,thedemolitionitemsTimitems
torestructure.
Anantidoteagainstthediseasesteady,theseresultsarethe
basisfor.
Factorizationofthetwothreeterms
Thinkofthecompletesquareformula,andthecross
multiplicationisnext.
Twokindsofmethoddoesn'twork,trytorootdecomposition.
Ratioandproportion
Thedivisionisalsocalledthetworatioisequaltothe
proportionofcall.
Outgoingproductitemswithinaproduct,productofeightratio
etc..
Eachexchangeofinternalandexternalterms,allmustbecalled
morethan.
Atthesametimeexchangeofinternalandexternalterms,we
shouldcallitaninverseratio.
Beforeandafterthelatterandcalled,theratioconstant
ratio.
Beforeandaftercontrastratioisbetterthanthelatter.
Anequalratiooftwoentriestotwo.
Theratioandconsequentandratioofgeometricinvariant
called.
Solutionproportion
Outgoingproductitemwithintheproductlist,andsolvingthe
equation.
Seekingratio
Fromtheknowntoseektheratio,avarietyofwayscanbeused.
Usetheproportionofsevenproperties,variablereplacement
isalsopopular.
Eliminationisalsoagoodway,theywillwork.
Positiveratioandinverseproportion
Theagreedvariableswereproportionaltotheproductvariables
andinverselyproportionaltothesetvariables.
Positiveratioandinverseproportion
Thequotientofthechangeprocessmustbeproportionaltothe
twovariables.
Theproductofachangemustbeinverselyproportionaltothe
twovariables.
Yourjudgmentisproportionalto
Fourthisproportionalto,increasingordecreasingsorting.
Bothendsoftheintermediateproductproduct,acertain
proportionofdigits.
Judgetheproportionofthefourformula
Thefourtypeisproportionalto,ordescendingsorting.
Attheendoftheproduct,suchasthemiddleproduct,thefour
formcanbeproportional.
Themean
Asaproportionoffour,thesamefacilitywillmeet.
Sometimesthebalancewillbethesame,notmeanproportional.
Themeanisveryimportant,willencounteravarietyof
occasions.
Asaproportionoffourinthesamefacility,therearemany.
Sometimesthebalancewillbethesame,themeanproportional.
Withthenumberofsquareofproduct,themeannoescape.
Radicalandirrational
Saidtherootofthealgebracanbecalledradical.
Isdifferentfromunreasonable,beopenwithoutlimit.
Therearelettersinthewaythatcanbecalledirrational.
Unreasonabletypeisradical,todistinguishthemwiththe
sign.
Therearelettersinthewayofopening,andtheycanbecalled
irrational.
Definedomain
Thedefinitionofthedomainisexquisite,andthefour
principlesmustbepaidattentionto.
Negativenumberscannotbesquared,denominatoriszero,
meaningless.
Thatisnotthebottomfractionofpositive,zerozeropower.
Therestrictionsarenotuniquetosatisfymultiple
inequalities.
Definethedomaintopass,andthefourprinciplesmustpay
attention.
Negativenumberscannotbesquared,denominatoriszero,
meaningless.
Thebottomfractionofpositive,zeronopowerofzero.
Restrictedcondition,nonuniqueness,solutionsetof
inequalitygroup.
Solvingaunaryinequality
Gotothedenominatorinparentheses,transposethemergerof
similaritems.
Thecoefficientof"1"attention,withnegativechangetobe.
Gotothedenominatorinparentheses,don'tforgettochange,
revenuer.
Thesamekindofmerger,coefficientof"1"attention.
Thesameistobewithouthindrance,withnegativechange,
multiplicationanddivision.
Solutionofoneyuaninequalities
Largerthanthehead,smallerthanthetail,thesizeofthe
middle,lookingfor.
Bigandsmallwithoutsolution,thefourkindofsituationall
came.
Takethesamedirection,taketheoppositedirectionandtake
themiddle.
Thereisnoelementinthemiddle,nosolutionappears.
Childreninkindergartenaresmall
Oldpeople,shomesareproudofoldage
Therewerenooldsoldiersinthecamp,(small,big,that,sit)
Largesizesolutioninspace,(small,big,wow!)
Solutionofatwodegreeinequality
Firstintogeneral,constructorsecondstops.
Ifthediscriminantvalueisnotnegative,thecrosssection
ofthecurvehasanintersectionpoint.
Aisopening.It'supandoverzero.Takebothsides.
Ifthealgebraicformulaislessthanzero,thesolutionsets
areintersectionnumbers.
Ifthesquarehasnorealroot,thebigzerosolutiononthe
mouthisall.
Lessthanzerowillhavenosolution.Theopeningisthe
opposite.
Factoringbythesquaredifferenceformula
Differentnumberstwosquareterms,factoring,thereareways.
Twobottomandmultiplytwobottomdifference,decomposition
resultisit.
Factorizationbymeansofthesquareformula
Twosquareitemsatbothends,bottom2timesinthemiddle.
Thesameistruebetweenthetwobaseandthesquare,thetotal
negativeandtheoppositenumber.
Dividedintotwobasedifferencesquare,founderdoubleproduct
tonegative.
Thetwosidesarenegative,themiddleisright,andthebase
differenceistheopposite.
Onesquareanothersquare,thebottomproduct2timesinthe
middle.
Attheendoftwoandthreesquare,fullofnegativeandopposite
party.
Dividedintotwobasedifferencesquares,bothendsare
positivetimes,productnegative.
Ifbothsidesarenegative,themiddleisrightandthebase
differenceistheopposite.
Solutionoftwoequationofoneelementbyformula
Tosolvetheequationbyformula,itisfirstgeneralized.
Thecoefficientofadjustmentfollows,makingitthesimplest
ratio.
DeterminetheparameterABC,andcalculatetheequation
discriminant.
Thediscriminantvalueandthezeroratioareknown.
Arealrootcanbesetformula,thereisnorealroottobe
reported.
Solvingtheequationoftwovariablesofoneelementwiththe
conventionalmethod
Theleft,theleftandtherighthaveseparatedfirst,andthe
twoseriesof"1"issecond.
Abinarysquare,onbothsideswithnoproblem.
Therighttoopendirectdecompositionmerger,problemsolving.
Thissolutioniscalledformula,anditismorepracticewhen
solvingequation.
Solutionoftwoequationofoneelementbyindirect
distributionmethod
Theknownunknownsarefirstseparated,andthefactorization
isfollowed.
Adjustmentcoefficients,suchasreciprocalanddifference
sets,identities.
Completesquareequalconstant,indirectformula,obvious
advantage
[notes]identities
Solvingthetwoequationofonevariable
Nooneitem,themostidealdirectextraction.
Ifaconstanttermismissing,factoringisnotdiscussed.
B,Careequaltozero,andsorootiszero,don，tforget.
BandCarenotzero,factoringorformulaatthesametime,
Canalsobedirectlysetformula,dependingontheproblem
varieschoicerecipe.
Identificationofpositiveproportionfunction
Checkthepositiveproportionfunction,andtestitintwo
steps.
Aquantityindicatingwhetheranotherquantityistrueornot.
Ifyouhavetolookatthevalue,alltherealnumbersshould
bethere.
Whetherapositivescalefunctionisdistinguishedshouldbe
dividedintotwosteps.
Aquantityindicatesanotherquantity,isthere?.
Ifwelookatthevalueagain,allrealnumbersareneeded.
Therearetwostepstomeasuringapositivescalefunction.
Aquantityindicatingwhetheranotherquantityistrueornot.
Ifyouhavetolookatthevalue,alltherealnumbersshould
bethere.
Theimageandpropertyofpositiveproportionfunction
Proportionalfunctiondiagram,straightline,passingand
origin.
Kisthreeminus24,thechangetendencyisrecordedbetween
theheart.
Kislowontheleft,highontheright,andclimbingwith
datong.
Knegativehighleftlowontheright,theotherasmallmountain
crest.
Primaryfunction
Afunctiondiagram,straightline,passingpoint.
Kislowtotheleft,hightotheright,andgoeshigherand
highertoclimbthemountain.
Knegative,lefthigh,lowright,lowerandlower,isobvious.
KsaystheslopeisB,theinterceptiszero,andthechange
ispositive.
Inversescalingfunction
Inversefunction,hyperbola,passingpoint.
Kisthreeminus24,twoisitsasymptote.
Kislefthigh,therightislow,andthe13quadrantslides
downthemountain.
Knegativeleft,righthigh,24quadrant,suchasclimbing.
Twofunction
Thetwoequation,thezerochangey,thetwofunctionappears.
Allrealnumbersdefinethedomain,andtheimageiscalled
parabola.
Aparabolahasasymmetrical
溫馨提示
- 1. 本站所有資源如無(wú)特殊說(shuō)明，都需要本地電腦安裝OFFICE2007和PDF閱讀器。圖紙軟件為CAD,CAXA,PROE,UG,SolidWorks等.壓縮文件請(qǐng)下載最新的WinRAR軟件解壓。
- 2. 本站的文檔不包含任何第三方提供的附件圖紙等，如果需要附件，請(qǐng)聯(lián)系上傳者。文件的所有權(quán)益歸上傳用戶(hù)所有。
- 3. 本站RAR壓縮包中若帶圖紙，網(wǎng)頁(yè)內(nèi)容里面會(huì)有圖紙預(yù)覽，若沒(méi)有圖紙預(yù)覽就沒(méi)有圖紙。
- 4. 未經(jīng)權(quán)益所有人同意不得將文件中的內(nèi)容挪作商業(yè)或盈利用途。
- 5. 人人文庫(kù)網(wǎng)僅提供信息存儲(chǔ)空間，僅對(duì)用戶(hù)上傳內(nèi)容的表現(xiàn)方式做保護(hù)處理，對(duì)用戶(hù)上傳分享的文檔內(nèi)容本身不做任何修改或編輯，并不能對(duì)任何下載內(nèi)容負(fù)責(zé)。
- 6. 下載文件中如有侵權(quán)或不適當(dāng)內(nèi)容，請(qǐng)與我們聯(lián)系，我們立即糾正。
- 7. 本站不保證下載資源的準(zhǔn)確性、安全性和完整性, 同時(shí)也不承擔(dān)用戶(hù)因使用這些下載資源對(duì)自己和他人造成任何形式的傷害或損失。
最新文檔
- 2025至2031年中國(guó)克菌寧行業(yè)投資前景及策略咨詢(xún)研究報(bào)告
- 2025至2030年中國(guó)重型材質(zhì)球閥數(shù)據(jù)監(jiān)測(cè)研究報(bào)告
- 2025至2030年中國(guó)聚乙烯泡沫塑料板材數(shù)據(jù)監(jiān)測(cè)研究報(bào)告
- 2025至2030年中國(guó)電話(huà)自動(dòng)錄音系統(tǒng)數(shù)據(jù)監(jiān)測(cè)研究報(bào)告
- 2025至2030年中國(guó)現(xiàn)場(chǎng)隔爆流量定值儀數(shù)據(jù)監(jiān)測(cè)研究報(bào)告
- 2025至2030年中國(guó)不銹鋼對(duì)開(kāi)門(mén)數(shù)據(jù)監(jiān)測(cè)研究報(bào)告
- 孤殘兒童的智力發(fā)展與認(rèn)知訓(xùn)練考核試卷
- 寵物懲罰牌制作服務(wù)考核試卷
- 攝影器材銷(xiāo)售心理學(xué)考核試卷
- 二零二五電子商務(wù)平臺(tái)數(shù)據(jù)分析與商業(yè)決策支持合同3篇
- 《你為什么不開(kāi)花》兒童故事繪本
- 15篇文章包含英語(yǔ)四級(jí)所有詞匯
- 王陽(yáng)明心學(xué)完整版本
- 四年級(jí)上冊(cè)豎式計(jì)算300題及答案
- 保潔班長(zhǎng)演講稿
- 課題研究實(shí)施方案 范例及課題研究方法及技術(shù)路線(xiàn)圖模板
- 牙髓炎中牙髓干細(xì)胞與神經(jīng)支配的相互作用
- 勞務(wù)雇傭協(xié)議書(shū)范本
- 【2022屆高考英語(yǔ)讀后續(xù)寫(xiě)】主題升華積累講義及高級(jí)句型積累
- 環(huán)境監(jiān)測(cè)的基本知識(shí)
- 電動(dòng)車(chē)棚施工方案
評(píng)論
0/150
提交評(píng)論