资源描述：
《IGCSE数学试卷 past paper》由会员上传分享，免费在线阅读，更多相关内容在应用文档-天天文库。
1、UNIVERSITYOFCAMBRIDGEINTERNATIONALEXAMINATIONSInternationalGeneralCertificateofSecondaryEducation*0835058084*ADDITIONALMATHEMATICS0606/11Paper1October/November20122hoursCandidatesanswerontheQuestionPaper.AdditionalMaterials:Electroniccalculator.READTHESEINSTRUCTIONSFIRS
2、TWriteyourCentrenumber,candidatenumberandnameonalltheworkyouhandin.Writeindarkblueorblackpen.Youmayuseapencilforanydiagramsorgraphs.Donotusestaples,paperclips,highlighters,glueorcorrectionfluid.Answerallthequestions.Givenon-exactnumericalanswerscorrectto3significantfigu
3、res,or1decimalForExaminer’sUseplaceinthecaseofanglesindegrees,unlessadifferentlevelofaccuracyis1specifiedinthequestion.Theuseofanelectroniccalculatorisexpected,whereappropriate.2Youareremindedoftheneedforclearpresentationinyouranswers.3Attheendoftheexamination,fastenall
4、yourworksecurelytogether.Thenumberofmarksisgiveninbrackets[]attheendofeachquestionorpart4question.Thetotalnumberofmarksforthispaperis80.56789101112TotalThisdocumentconsistsof16printedpages.DC(NH/JG)50034/5©UCLES2012[Turnover2MathematicalFormulaeForExaminer’sUse1.ALGEBRA
5、QuadraticEquationFortheequationax2+bx+c=0,2−bba−4cx=2aBinomialTheoremnnn(a+b)n=an+(an–1b+(an–2b2+…+(an–rbr+…+bn,1)2)r)nn!wherenisapositiveintegerand(r)=(n–r)!r!2.TRIGONOMETRYIdentitiessin2A+cos2A=1sec2A=1+tan2Acosec2A=1+cot2AFormulaefor∆ABCabc==sinAsinBsinCa2=b2+c2–2bcc
6、osA1∆=bcsinA2©UCLES20120606/11/O/N/1231(i)Sketchthegraphofy=
7、3+5x
8、,showingthecoordinatesofthepointswhereyourgraphFormeetsthecoordinateaxes.[2]Examiner’sUse(ii)Solvetheequation
9、3+5x
10、=2.[2]2Findthevaluesofkforwhichtheliney=k–6xisatangenttothecurvey=x(2x+k).[4]©UCLES201206
11、06/11/O/N/12[Turnover43Giventhatp=log32,express,intermsofp,qForExaminer’s(i)log4,[2]Useq(ii)log16q.[2]q4Usingthesubstitutionu=5x,orotherwise,solve52x+1=7(5x)–2.[5]©UCLES20120606/11/O/N/125x25Giventhaty=,findForcos4xExaminer’sUsedy(i),[3]dxππ(ii)theapproximatechangeinywh
12、enxincreasesfromto+p,wherepissmall.[2]44©UCLES20120606/11/O/N/12[Turnover662For6(i)Findthefirst3terms,indescen
