人教版新目标初中数学学习方法PEP new target junior high school mathematics learning methodWord文件下载.docx
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人教版新目标初中数学学习方法PEP new target junior high school mathematics learning methodWord文件下载.docx
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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
26,bevelandrightsideaxioms(HL)havetwosidesofarighttrianglecorrespondingtothesamesideofarightangle
27theorem1thedistancebetweenpointsonthebisectorofanangletothesidesofthisangleisequal
Thepointatwhichthedistancebetween2and28anglesisthesameasinthebisectorofthisangle
Thebisectorof29anglesisthesetofallpointsequaltothetwosidesoftheangle
Twoand30areequalisoscelestriangletheoremofanisoscelestriangle(i.e.equalequilateralangle)
31inferthatthebisectorofthe1isoscelestrianglevertexisequaltothebaseandperpendiculartothebase
32thetopanglesoftheisoscelestriangle,thebisector,themiddlelineonthebottomedgeandtheheightonthebottomedgecoincidewitheachother
33corollary3equilateraltriangleswhoseanglesareequal,andeachangleequalto60degrees
34thedecisiontheoremofisoscelestriangle,ifatrianglehastwoanglesequal,thenthetwoanglesareequaltothesides(equalangles,equalsides)
35corollary1threeanglesareequaltriangleisanequilateraltriangle
36corollary2anisoscelestrianglewithanangleequalto60degreesisanequilateraltriangle
37inarighttriangle,ifanacuteangleisequalto30degrees,therightangleofitisequaltohalfoftheslope
38thecenterlineonthebevelofarighttriangleisequaltohalfofthebevel
Thepointatwhichthetwoendsofthelineofthelineofdivisionareequaltothe39endsoftheline
Apointequaltothedistancebetweentwoendpointsof40inversetheoremandalinesegment,intheverticalbisectoroftheline
Theverticalbisectorofa41linesegmentcanbeconsideredasasetofallpointsequaltothedistancebetweenpointsattheendofalinesegment
42theorem1thetwographsofastraightlinesymmetryarecongruentforms
43theorem2iftwographsaresymmetricalaboutastraightline,thenthesymmetryaxisistheverticalbisectorofthecorrespondingline
44theorems3.Twographsaresymmetricalaboutastraightline,iftheircorrespondinglineorextensionlineintersects,thentheintersectionpointisonthesymmetryaxis
The45inversetheoremisthatifthecorrespondingpointsofthetwographsareverticallydividedbythesameline,thenthetwofiguresaresymmetricalabouttheline
46Pythagoreantheoremofrighttriangletworightanglesidesa,bsquare,andthesquareisequaltothehypotenuseC,a^2+b^2=c^2
47thePythagoreantheoremandinversetheoremofa,ifthethreesideoftriangleB,Ca^2+b^2=c^2,thenthetriangleisarighttriangle
Intheorem48quadrilateralandequalto360degrees
49quadrilateralcornersandisequalto360degrees
Inthe50polygonsumtheoremnedgeshapeandisequalto(n-2)*180degrees
51anyinferencemultilateralangleandequalto360degrees
Thepropertytheoremof52parallelogram;
thediagonalequalityof1parallelogram
Thepropertytheoremof53parallelogram;
theequalsidesof2parallelogram
54parallelsbetweentwoparallellinesareequal
Thepropertytheoremof55parallelogram;
diagonalbisectorof3parallelogram
56parallelogramdecisiontheorem1.Thetwogroupsofequalanglesareparallelogram
57parallelogramdecisiontheorem2.Thequadrilateraloftwosetsofequalsidesisparallelogram
The58parallelogramtheorem;
3diagonalsequaltooneanother;
thequadrilateralisaparallelogram
59theparallelogramtheorem4isaparallelogramofparallelpairsofedgesequaltoaparallelogram
Fouranglesof60rectangulartheorem1rectangleisright
61rectangularpropertytheorem2thediagonalofarectangleisequal
62rectangulardecisiontheorem1hasthreeanglesatrightangles,andaquadrilateralisarectangle
63rectangulardecisiontheorem2aparallelogramwithequaldiagonalsisarectangle
64diamondtheorem1thefoursidesofadiamondareequal
65diamondtheorem2thediagonalsofthediamondareperpendiculartoeachotherandeachdiagonallineisdividedintoasetofdiagonalangles
Halfofthe66diamondarea=diagonalproduct,namelyS=(a*b)/2
67diamonddecisiontheorem1quadrilateralisequaltofoursidesisdiamond
68diamonddecisiontheorem2thediagonalsareperpendiculartoeachotherandtheparallelogramisrhombic
The69squaretheoremfouranglesof1squareisarightangle.Thefoursidesareequal
70thesquaretheoremof2squaresequaltotwodiagonals,andperpendiculartoeachother,eachdiagonalisequaltoasetofdiagonal
The71theorem1,aboutthecentralsymmetryofthetwographsarecongruent
72theorem2onthecentralsymmetryofthetwofigures,thesymmetrypointsareconnectedthroughthecenterofsymmetry,andisdividedbythesymmetrycenter
The73inversetheorem,ifthecorrespondingpointsofthetwographsareconnectedbyacertainpoint,andbythisone
Thepointbisection,thenthetwographsaresymmetricaboutthispoint
74isoscelestrapezoidpropertytheoremtheisoscelestrapezoidisequaltotwoanglesatthesamebottom
75isoscelestrapeziumwithtwodiagonalsequal
76isoscelestrapezoidjudgmenttheorem,onthesamebottom,thetwoanglesequaltrapezoidisisoscelestrapezoid
77thetrapeziumwithequaldiagonalsisisoscelestrapezoid
Atheoremof78parallellines,ifasetofparallellinesiscutinastraightline
Equal,thenthelinesegmentsthatarecutonotherlinesareequal
79inference1,aftertheladder,themiddleofawaistandthebottomparallelline,willbeequaltotheotherwaist
80inference2thelinebetweenthemidpointofthetriangleandtheothersidemustbeequal
Thethreeside
81themedianlineofatriangleinwhichthemedianlineofatriangleisparalleltothethirdsideandequaltoit
Half
Themedianlinetheoremofthe82laddertheorem.Themedianlineoftheladderisparalleltothetwobaseandequaltothesumofthetwobases
HalfoftheL=(a+b)/2S=L*h
83
(1)thebasicnatureoftheratio,ifa:
b=c:
d,thenad=bc
Ifad=bc,thena:
d
84
(2),iftheratioofa/b=c/D,then(a+b)/b=(c+D)/D
85(3)geometricproperties,ifa/b=c/d=...=m/N(b+d+...+n=0),then
(a+c+...+m)/(b+d+)...+n)=a/b
86parallellinesaredividedintolinesegments.Thecorrespondingtheoremisthatthreeparallellinescuttwostraightlines
Proportionaltolinesegments
87inferenceparalleltothetrianglesideoftheline,cuttheotherside(ortheextensionlineonbothsides),thecorrespondinglinesegmentsproportional
The88theorem,ifastraightlinecutsthecorrespondinglineofthetwosidesofthetriangle(ortheextensionlineonbothsides),thenthelineisparalleltothethirdsideofthetriangle
89paralleltoonesideofthetriangleandintersectingwiththeothersides,thethreesidesofthetriangleareproportionaltothethreesidesoftheoriginaltriangle
90theoremsparalleltoonesideofthetriangleintersecttheothersides(orextensionlinesonbothsides),andthetriangleissimilartotheoriginaltriangle
91similartrianglestheorem1cornersequaltwotriangles(ASA)
92rightangledtrianglesaredividedbytheheightoftwosidesofabevel.Thetriangleissimilartotheoriginalone
93decisiontheorem2,thetwosidesareproportionaltoeachotherandtheanglesareequal,andthetwotrianglesaresimilar(SAS)
94decisiontheorem3,threesidescorrespondingproportional,twotrianglesimilarity(SSS)
The95theorem,iftherightsideofarighttriangleandtherightanglearethreerightangles
Thecornerofthecornerisproportionaltoarightangle,sothetworighttrianglesaresimilar
96propertytheorem1,theratioofthecorrespondingtriangle,theratioofthecorrespondinglineandthecorrespondingangleflat
Theratioofthelinetolineisequal
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