有用的小学到初中所有数学公式大全.docx
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有用的小学到初中所有数学公式大全
有用的小学到初中所有数学公式大全(Usefulmathematicsfromelementaryschooltojuniormiddleschool)
1,thenumberofcopiesofeachnumberx=totalnumber,eachnumberofcopies,copiesnumber==eachnumber
2,1timesofafewafewmultiplesofmultiplesofmultiplesofx=1,=severalmultiplesofmultiplesofmultiplesofmultiples/=1times
3,speedtimedistance,distance=x=distance/timetimespeed=speed
4,thenumberofthetotalprice,pricex===thenumberoftotalnumberofunitprice,unitprice
5,workefficiency*workingtime=totalamount,totalworkefficiency=workingtime
Thetotalamountofwork,worktime=workefficiency
6,theaddendaddend=+and-addend=otheraddend
7,theminuend-==-differencedifferencereductionminuenddifference+=minuendmeiosismeiosis
8,factorXfactor=productdividedbyafactor=anotherfactor
9,dividend,dividend,divisor=businesstaking=x=dividenddividenddivisorquotient
Mathematicalformulasforelementaryschoolmathematics
1,square:
Cperimeter,Sarea,alengthsidelength=perimeter=4C=4aarea=lengthside*S=a*a
2,thecube:
V:
volumea:
edgelengthsurfacearea=lengthxlengthx6S=a*a*6
Volume=edgelengthxxlong*xV=axa*a
3,rectangle:
Cperimeter,Sarea,a,sidelength,perimeter=(length+width)*2C=2(a+b)area=**widthS=ab
4,cuboid
V:
volumes:
areaa:
long,b:
width,h:
height
(1)surfacearea(length*width+length*height+width*height)*2S=2(ab+ah+bh)
(2)volume=long*width*highV=abh
5,triangle
Sahhighendareabottomarea=xheight/2s=ah/2
Triangleareahigh=x2/bottom
Trianglearea=x2/high
6,parallelogram:
sareaa,bottomh,higharea=bottom*highs=ah
7,ladder:
sareaabhhighbottombottomarea=(+downonthebottomend)*/2s=(a+b)*H/2
8round:
SCd=r=diameterradiuscircumferencepi
(1)==2***perimeterdiameterradiusC=d=2pipipi*r
(2)***area=radiusradius
9,cylinder:
V,volumeh:
highS:
bottomareaR:
bottomradiusC:
bottomperimeter
(1)thesidearea=thecircumferenceofthebottom*high
(2)surfacearea=sidearea+basearea*2
(3)volume=basearea*height
(4)=2/Xvolumesidearearadius
10,V:
hshighvolumeconebottomareaRbottomradiussize=baseareaxheight/3
Thetotal,thetotalnumberofcopies=averagenumber
Equationofsumanddifference
(+anddifference)830192=number
(andpoor)830192=decimal
Doublingproblem
And(1=decimalmultiples).
Decimal=multiple=largenumber
(orsum=decimal=largenumber)
Differenceproblem
(1/differencemultiples)=decimal
Decimal=multiple=largenumber
(ordecimal+difference=largenumber)
Treeplantingproblem
1,theproblemoftreeplantingonnonclosedlinescanbedividedintothefollowingthreecases:
Ifanonclosedlineatbothendsareplantingtrees,so:
Number=numberof+1/1=lengthspacing
*(1=lengthspacingnumber)
Fulllength(1/spacing=number)
Ifyouwanttoplanttreesintheendofnonclosedline,theotherendisnotplanting,so:
Number=number=length/spacing
Length=xnumberofrows
=length/numberofrows
Ifbothendsinnonclosedlinearenotplantingtrees,so:
Numbersectionnumber=-1/1=lengthspacing
*(number=lengthspacing+1)
=length/spacing(number1)
2,thenumberoftreesonclosedlinesisasfollows
Number=number=length/spacing
Length=xnumberofrows
=length/numberofrows
Profitandloss
(profit+loss),thetwodistributionofthedifferencebetweenthenumberofcopiesinthedistributionof=
(largesurplus-smallsurplus)/twodistributionofthedifferencebetweenthenumberofcopiesinthedistributionof=
(burned-asmalllossoftwotimes),thedifferencebetweenthenumberofcopiesisassignedtoparticipateinthedistributionofthe
Encounterproblem
Encounterdistance=speedandXmeetingtime
Meettime=distance/speedandmeet
Thespeedanddistance,theencountertime=meet
Catchupwithproblems
Trackingdistance=speeddifference*trackingtime
Chaseandchaseanddistance/time=speeddifference
Thespeeddifferenceanddistance=chasechaseandtime.
Flowproblem
Downstreamvelocity=hydrostaticvelocity+flowvelocity
Countercurrentvelocity=hydrostaticvelocity-flowvelocity
Hydrostaticspeed=(downstreamvelocityandvelocity),2
Flowrate=(downstreamspeedvelocity),2
Concentrationproblem
Theweightofthesolute+theweightofthesolvent=theweightofthesolution
Theweight,theweightofthesolutesolutionx100%=concentration
Weightofsolution=concentration=soluteweight
Theweight,concentrationofsolutesolution=weight
Profitanddiscountproblems
Profit=sellingprice-cost
Therateofprofit,profit=costX100%=(sold/cost1)*100%
Amountoffluctuation=principal*ChangePercentage
Theactualpricediscount,theoriginalpricex=100%(<1discount)
Interest=principal*interestrate*time
Aftertaxinterestrates***=principaltime(120%)
LengthConversion
1kilometers1meters=1000meters=10.
1cm=100cm=101meterdecimeter
1cm=10mm
AreaConversion
1sqkm=100hectares
1hectares=10000squaremeters
1squaremeters=100squaredecimeter
1square=100squarecentimeterdecimeter
1mm2=100mm2
Volume(volume)productunitconversion
1cubicmeters=1000cubicdecimeter
1cubicmeter=1000cubiccentimeter
1DM3=1L
1cubiccentimeter=1ml.
1cubicmeters=1000liters
Weightunitconversion
1tons=1000kg
1kilograms=1000grams
1kg=1kg
UnitconversionofRenminbi
1yuan=10Jiao
1jiao=10minutes
1yuan=100cents
timeconversion
FirstCentury=100,1years=12months
Month(31days):
1\3\5\7\8\10\12month
Xiaoyue(30days)are:
4\6\9\11month
Thereare28daysinFebruary,aleapyear29daysinFebruary
Thereare365daysayear,aleapyear366daysayear
1days=24hours,1hours=60minutes
1minutes,=60seconds,1hours,=3600seconds
Mathematicalformulasofgeometry,perimeter,areaandvolumeofPrimaryMathematics
1,theperimeteroftherectangle=(long+width)*2C=(a+b)*2
2,squareperimeter=sidelength*4C=4a
3,rectangulararea=long*widthS=ab
4,squarearea=lengthside*sidelengthS=a.a=a
5,thebottomofthetrianglearea=xheight/2S=ah/2
6.Theareaoftheparallelogram=bottom*highS=ah
Area=7,trapezoidal(bottom+bottom)xheight/2S=(a+b)H/2
8x2d=2rdiameter=radiusradius=2D/2r=diameter.
9,thecircumferenceofacirclediameterx=pi=pi**2c=D=2radiusPiPiR
10,theareaofacircleradiusradius=pi**
Commonformulasforjuniorhighschoolmathematics
1thereisonlyonelineaftertwo
2thelinebetweentwopointsistheshortest
3thesameangleorisometricequalmargin
4withtheangleofthecomplementofequalorconstant
5havingonlyonelineandperpendiculartotheknownline
6,thelineoutsideapointandthelineonallpointsconnectedbytheline,theverticallinesegmentistheshortest
7parallelaxiomsfollowapointoutsidethestraightlineandhaveonlyonelineinparallelwiththeline
8ifthetwolinesareparalleltothethirdlines,thetwolinesareparalleltoeachother
9correspondinganglesareequal,thetwoparallellines
10alternateanglesareequal,thetwoparallellines
11complementaryinterioranglesonthesameside,twoparallellines
12thetwoparallellines,correspondinganglesareequal
13twolineparallel,alternateanglesareequal
14thetwoparallellines,complementaryinterioranglesonthesameside
Thesumof15sidesofatriangleisgreaterthanthird
16inferthatthedifferencebetweenthesidesofatriangleislessthanthird
17triangletrianglesumtheoremthreeanglesandequalto180degrees
18inference1thetwoacuteanglesofrighttriangleoverlapeachother
19acorollaryofatriangleisequaltothe2cornersandtwoanglesitisadjacentand
20acorollaryofatrianglewith3cornersthananyoneanditisnotadjacent.
Thecorrespondingsidesof21congruenttrianglesandequalangles
22edgeaxioms(SAS)arecongruentwithtwotrianglesofequalanglesonbothsidesandtheirangles
23cornercorneraxiom(ASA)hastwotrianglescongruenthornsandtheiredgescorrespondingtotheequal
24inference(AAS)hadtwohornsandoneoftheangleonthesidecorrespondingtotheequaltwocongruenttriangles
25sideaxioms(SSS)havingtwoequaltrianglesequaltothreesides
26bevelandrightsideaxioms(HL)havetwoequalanglesofrighttriangleandonerightangle
Congruent
27theorem1thedistancebetweenpointsonthebisectorofanangletothesidesofthisangleisequal
Thepointatwhichthedistancebetween2and28anglesisthesameasinthebisectorofthisangle
Thebisectorof29anglesisthesetofallpointsequaltothetwosidesoftheangle
Twoand30areequalisoscelestriangletheoremofanisoscelestriangle(i.e.equalequilateralangle)
31inferthatthebisectorofthe1isoscelestrianglevertexisequaltothebaseandperpendiculartothebase
32thetopanglesoftheisoscelestriangle,thebisector,themiddlelineonthebottomedgeandtheheightonthebottomedgecoincidewitheachother
33corollary3equilateraltriangleswhoseanglesareequal,andeachangleequalto60degrees
34thedecisiontheoremofisoscelestriangle,ifatrianglehastwoanglesequal,thenthesetwoangles
Theoppositesidesareequal(equalangles,equalsides)
35corollary1threeanglesareequaltriangleisanequilateraltriangle
36corollary2anisoscelestrianglewithanangleequalto60degreesisanequilateraltriangle
37inarighttriangl