周长问题
1)Theadjacentsidesofthedecagon（十边形）shownmeetatrightanglesandalldimensions（尺寸）areinmetres.
Whatistheperimeter,inmetres,ofthisdecagon?
2)minarsAnL-shapedpathis5mwideandhasanareaof125m2.Theperimeter,inmetres,ofthefigureis?
3)Asquarepieceofpaperisfoldedinhalf.Theresultingrectanglehasaperimeterof18cm.Whatisthearea,insquarecentimetres,oftheoriginalsquare?
4)TheperimeteroftheequilateraltrianglePQRis48cm.Whatistheperimeter,incentimetres,oftheparallelogramPSTU?
produce5)Nellycorrectlymeasuresthreesidesofarectangleandgetsatotalof88cm.Her
Brother.Raffycorrectlymeasuresthreesidesofthesamerectangleandgetsatotalof
80cm.Whatistheperimeteroftherectangle,incm?
FourpointsP,Qvoiceover,RandSaresuchthatPQ=10,QR=30,RS=15andPS=m.Ifmisanintegerandnothreeofthepointslieonastraightline,whatisthenumberofpossiblevaluesofm?
Ashapeisformedwhenaregularhexagonofside9cmhassixregularhexagonsofside3cmaddedtotheoutsideofitwithoneatthecentreofeachside(twoofthesidesareshown).
Whatistheperimeter,incentimetres,oftheshape?
等高
6)Inaright-angledtriangleACD,theareaofshadedregionis10cm2,asshowninthefigurebelow.AD=5cm,AB=BC,DE=EC.FindthelengthofAB.
7)InrectangleABCD,AB=12andAD=5.PointsP,Q,RandSareallondiagonalAC,sothatAP=PQ=QR=RS=SC.Whatisthetotalareaoftheshadedregion?
角
8)Inthediagram,thesizeofthreeanglesaregiven.Findthevalueofx.
嫉妒心理
9)Inthediagram,PQRSisasquare.Thevalueofxis
10)Inthefollowingfigure,ifCA=CE,whatisthevalueofx?
天津开学时间2020
11)IntriangleABC,AP=AQandBQ=BR.DetermineanglePQR,indegrees.
12)Thissheriff’sbadge(司法徽章)hastenequalsides,five60?anglesandfiveequalreflexangles.
Thevalueofxis
勾股定理
权益法核算
13)TheareaofsquareABCDis64andAX=BW=CZ=DY=2.WhatistheareaofsquareWXYZ?
14)reviewsArectanglewithalengthof60andawidthof45canbedivided(分)into2700squareswithasidelengthof1.Ifyoudrawadiagonal(对角线)oftherectangle,howmanysquaresdoesthediagonalgothrough?
balo
15)A36cmby24cmrectangleisdrawnon1cmgridpapersuchthatthe36cmsidecontains37gridpointsandthe24cmsidecontains25gridpoints.Adiagonaloftherectangleisdrawn.Howmanygridpointslieonthatdiagonal?
16)Maryhas62squarebluetilesandanumberofsquareredtiles.Alltilesarethesamesize.Shemakesarectanglewithredtilesinsideandbluetilesontheperimeter.Whatisthelargestnumberofredtilesshecouldhaveud?
17)Whatpercentageofthelargestsquareiscoveredbytheshadedsquare?
18)Threerectanglesarelineduphorizontallyasshown.Thelengthsoftherectanglesare2cm,4cmand8cmrespectively.Theheightsare1cm,2cmand4cmrespectively.Astraightlineisdrawnfromthetopright-handcornerofthelargestrectangletothebottomleft-handcornerofthesmallestrectangle.Whatisthearea,insquarecentimetres,oftheshadedregion?
19)Theareas,insquarecentimetres,ofthreerectanglesaregiven.Whatisthearea,insquarecentimetres,oftheshadedrectangle?
20)Whatisthearea,insquarecentimetres,oftheshapemarkedoutonthe1cmgridbelow?
圆
（04年真题）
21)Whichpicturehasthesameshadowarea(阴影面积)asthefirstpicture?
22)touristyThereisasquarepool.Thelengthofeveryside(边长)is10m.Eisthe
midpointofAB.Thereisasheeptied(栓)toE.Therope(绳子)is6m.Whatis
thelargestarea(最大面积)wherethesheepcanwalk?(π≈3)
23)Lookatthepicture.Theradius(半径)ofthesmallcircleis25cmandthatofthebigcircleis50cm.Thesmallcirclegoesaroundtheoutsideofthebigcircle.Thenhowmanytimesdoesthesmallercirclespin(自身转了几圈)?
24)Asshowninthefigure,theperimeter(周长)ofthetrapezoid(梯形)isfivetimestheperimeterofthecircle.Ifthecirclegoesaroundthetrapezoid,doyouknowhowmanytimesdoesthecirclespin?
25)Agiraffelivesinanareashapedintheformofaright-angledtriangle.Thebaandtheheightofthetriangleare12mand16mrespectively.Theareaissurroundedbyafence.Thegiraffecaneatthegrassoutsidethefenceatamaximumdistanceof2m.Whatisthemaximumareaoutsidethefence,inwhichthegrasscanbeeatenbythegiraffe?
26)Inthediagram,therearetwotouchingcircles,eachofradius2cm.AnantstartsatpointAandwalksaroundthefigure8pathABCDEFCGAinthatorder.Theantrepeatsthefigure8walk,againandagain.Aftertheanthaswalkedadistanceof2005pcmitbecomestiredandstops.Theantstopsatapointinthepath.Whatletterpointisit?
27)Therearefivecircleswith3differentdiameters.Someofthecirclestoucheachotherasshowninthefigurebelow.Ifthetotalareaoftheunshadedpartsis20cm2,findthetotalareaoftheshadedparts,incm2.
切割
28)lastnightInaregularhexagonABCDEF,twodiagonals,FCandBD,interctatG.WhatistheratiooftheareaofΔBCGtothatofquadrilateralFEDG?
29)LetABCDEFbearegularhexagon.Oisthecentreofthehexagon.MandNarethemid-pointsofDEandOBrespectively.Ifthesumofareasof△FNOand△FMEis3cm2,findtheareaofthehexagon.
立体几何：
30)Thevolumeofthesolidfigurebelowis__________
A.12 B.30 C.35 D.36 E.40
（05年真题）
31)Thereis480milliliter(毫升)ofdrinksinthebottle.Howmanymillilitersisthevolume(容积)ofthebottle?
