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1、2011年稽阳联谊学校高三联考自选模块试题数学题号:03“数学史与不等式选讲”模块(10分)(1)已知实数满足:求表达式的值.(2)已知关于的不等式,若此不等式的解集为R,求实数a的取值范围.题号:04“矩阵与变换和坐标系与参数方程”模块(10分)在直角坐标系中,以O为极点,以轴非负半轴为极轴建立极坐标系,已知曲线C在极坐标下的方程为.(1)试将曲线C转化为直角坐标系下的普通方程.(2)试问在轴上是否存在一定点M,使得过M任作一直线交曲线C于两点,使得为定值?若存在求出定点M的坐标,否则说明理由.英语题号:05
2、阅读理解(分两节,共5小题;每小题2分,共10分)阅读下面短文,并根据短文后的要求答题。Intoday’sworldofcellphones,minilaptopsandMP3players,mostpeoplehaveatleastonetime-tellingtoolwiththem.Sincethesedevicesaresocommon,istimerunningoutforthe500-year-oldwatch?Accordingtosomeconsumers,yes.NewJerseyteenag
3、erCharlieWollmansaysawatchis“anextrapieceofequipmentwithnonecessaryfunction.”①LouisGalie,aseniorvicepresidentatTimex,saidthatfeweryoungpeoplewearwatchestodaythanfiveyearsago.Asaresult,somepeopleclaimthatthewatchindustryisatacrossroads.矚慫润厲钐瘗睞枥庑赖。However,watc
4、hmakersoptimisticallysaythatwatchesregainpopularitywhenconsumersreach11/11their20sand30s.Bythen,theyarewillingtospendmoneyonaqualitytimepiecethatdoesn’tjustkeepgoodtime.②Butinrecentyears,thewatchindustryhastransformeditselfintoanaccessorybusiness.Andformanyt
5、oday,theimageawatchcommunicateshasbecomemoreimportantthanthetimeittells.聞創沟燴鐺險爱氇谴净。“Complications”—featuresthatgobeyondsimpletimekeeping—areanimportantpartofawatch’simage.③Thesefeaturesincludealtitudetrackers,compasses,lunarcalendars,USBdrives,andevendevices
6、thatmeasuretheeffectivenessofgolfswings.残骛楼諍锩瀨濟溆塹籟。Creativityisalsoakeyelementintoday’swatches.Forexample,JapanesewatchmakerTokyoflashmakeswatchesthatdon’tevenlooklikewatches.Thecompany’spopularShinshokumodelusesdifferentcolorlightstotellthetime.Itlooksmorel
7、ikeaFuturisticbraceletthanawatch.④Usingaringofcirclestokeeptime,thiswatchmakesanexcellentconversationpiece.酽锕极額閉镇桧猪訣锥。Whetherawatchcommunicatesfashionsense,creativeflairoraloveofsports,consumerswanttheirtimepiecestostandout.Nowadays,everyonehasthesamekindofg
8、adgetintheirbags,sopeoplewanttomakeastatementwithwhat’sontheirwrists.Willthisinterestinwristfashionlast?Onlytimewilltell.彈贸摄尔霁毙攬砖卤庑。第一节根据短文内容,从A、B、C、D、E中选出最适合放入短文空缺处的选项,并将序号及相应答案写在答题纸上。选项中有一项是多余