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1、南外冲刺课程几何几何周长问题1)Theadjacentsidesofthedecagon（十边形）shownmeetatrightanglesandalldimensions（尺寸）areinmetres.Whatistheperimeter,inmetres,ofthisdecagon?2)AnL-shapedpathis5mwideandhasanareaof125m2.Theperimeter,inmetres,ofthefigureis?3)Asquarepieceofpaperisfoldedinhalf.Theres
2、ultingrectanglehasaperimeterof18cm.Whatisthearea,insquarecentimetres,oftheoriginalsquare?4)TheperimeteroftheequilateraltrianglePQRis48cm.Whatistheperimeter,incentimetres,oftheparallelogramPSTU?111)Nellycorrectlymeasuresthreesidesofarectangleandgetsatotalof88cm.HerBro
3、ther.Raffycorrectlymeasuresthreesidesofthesamerectangleandgetsatotalof80cm.Whatistheperimeteroftherectangle,incm?FourpointsP,Q,RandSaresuchthatPQ=10,QR=30,RS=15andPS=m.Ifmisanintegerandnothreeofthesepointslieonastraightline,whatisthenumberofpossiblevaluesofm?Ashapeis
4、formedwhenaregularhexagonofside9cmhassixregularhexagonsofside3cmaddedtotheoutsideofitwithoneatthecentreofeachside(twoofthesidesareshown).Whatistheperimeter,incentimetres,oftheshape?11等高1)Inaright-angledtriangleACD,theareaofshadedregionis10cm2,asshowninthefigurebelow.
5、AD=5cm,AB=BC,DE=EC.FindthelengthofAB.2)InrectangleABCD,AB=12andAD=5.PointsP,Q,RandSareallondiagonalAC,sothatAP=PQ=QR=RS=SC.Whatisthetotalareaoftheshadedregion?角3)Inthediagram,thesizeofthreeanglesaregiven.Findthevalueofx.4)Inthediagram,PQRSisasquare.Thevalueofxis5)Int
6、hefollowingfigure,ifCA=CE,whatisthevalueofx?111)IntriangleABC,AP=AQandBQ=BR.DetermineanglePQR,indegrees.2)Thissheriff’sbadge(司法徽章)hastenequalsides,five60◦anglesandfiveequalreflexangles.Thevalueofxis勾股定理3)TheareaofsquareABCDis64andAX=BW=CZ=DY=2.WhatistheareaofsquareWX
7、YZ?4)Arectanglewithalengthof60andawidthof45canbedivided(分)into2700squareswithasidelengthof1.Ifyoudrawadiagonal(对角线)oftherectangle,howmanysquaresdoesthediagonalgothrough?5)A36cmby24cmrectangleisdrawnon1cmgridpapersuchthatthe36cmsidecontains37gridpointsandthe24cmsideco
8、ntains25gridpoints.Adiagonaloftherectangleisdrawn.Howmanygridpointslieonthatdiagonal?111)Maryhas62squarebluetilesandanumberofsquare
