乐灵南外冲刺试卷

---2010ScoreNameScoreAsisshowninthepicture,twoantsarewalkingalongthesideofastandardtriangle;theystartatthesametimefromPointAandPointBtoPointC.AntAwaikalongthesideclockwisely（顺时针）by1cmpersecond;AntBgetbackwhenmeetPointAorCby1.8cmpersecond.HowlongwillAntaandBmeeteachotherforthefirstfime?LaoMalearntaflyingtrickfromMonkeyKing.Hecaneitherfly45kmfromeasttowestor108kmfromwesttoeastbyonesomersault,oneday,LaoMawenttovisitMonkeyKingwholivedtotheeastofhishome,andthedistanceis135km.HowmanysomersaultsshouldLaoMaturntoreachMonkeyKing?AplusBis171.6.Wedonotknowwhichofthemislarger,butweknowthatifwemovethedecimalpointoncebackward,thetwo,numbersbecomeequal.SowhatisA,andwhatisB?

Asisshowninthepicture,PointBisthemidpointofAB,FisthemidpointofAD,thearedofTriangleEBCis6squarecentimeters,andtheareaofTriangleABFis4squarecentimeters.WhatistheareaofTrapeziumABCD?5、Asisshowninthepicture,everytwolinesmakea15degreeincludedangle［夹角），sowhatisthetotaldegreeofalltheanglesshowninthepicture?Whatisthesumofthenumberoftrianglesandthatofthetrapeziumsshowninthepicturebelow？Thereare6presentswhicharethesametogiveawayto4children.Everychildshouldhaveatleastonepresent.Howmanywaysdoyouhavetogiveawaythepresents?8、Thereisasquare.Ifthesidelength（边长）become5cmlonger,itsareawouldbe425squarecentimeterslarger.Whatistheoriginalareaofthissquare?Thereare9differentChinesebooks,7differentEnglishbooks,5differentJapanesebooks.Nowyouchooseany2booksfromthem,andyoucanonlychoosebilingually.Howmanywaysarethereforyoutomakesuchachoice?Giventhatthereare6numbersform0-5,andyouareaskedtousethse6numberstomakea5-digitnumber（五位数）withoutrepeatednumberinit（没有重复数字）.Sohowmanynewnumberslikethiscanyoumake?Thereareseveralstudentsgoingboating.Ifeachboatseats6children,therewouldbe4vacancies（空位）;ifeachboatseats5students,therewouldbe4childrenhavingnoseats.Howmanystudentsaretheregoingboating?Ateacherneededbadlysomeexercisebooks,whickcost1.3YuaneachHesentXiaotaotothetaskandgavehimsomemoney.Weknowthatformeachexercisebookhebought,Xiaotaocouldget0.5Yuanas.thechange.Butunluckily,Xiaotaolost5Yuanonhiswayandcouldnotmakeittogetbakeintimetomakeupforthe5Yuanhelost,sohehadtobuyanotherkindofexercisebookinthesamequantity,whickcost1.1Yuaneach.Hegot2.5Yuanbackasthechange.Well,howmuchmoneydidtheteachergiveXiaotaoatfirst?Theloadbearingcapacity（承重能力）ofashipis260ton,andtheshipcanseatgoodswhichtakesasmuchthevolumeas1000cubicmeters.Nowifthegoodsonboardcanbedividedinto2categories:A&BandthevolumeofAis8cubicmetersperton,andthatofBis2cubicmetersperton,howshouldweloadA&Bsoastomakethebestuseofthisship?Thereisa201digit-number（201位）madeofnaturalnumbers（自然数）startingformIfwedivideitby3,whatwillbetheremainingnumber?Thereisaroundtrack（环形跑道）withthelengthof600meters,AandBstartfromthesameplaceandgointheoppositedirecton（背向而行）.Theymeeteachother4minuteslater.IftheygointhesamedirectionatthesametimefromthesameplaceandAcatchupwithB20minuteslater.HowmanymetersdoAandBseparatelyrunperminute?ThereareTrainAandTrainBgoingtowardseachotherformtwoplaces;andtheymeedinsomewhere15kmawayformthemidpoint.TrainAgoes55kmperhourandTrainBgoes50kmperhour.Howdistantarethetwoplacesfromeachother?UncleLiandUncleWangraise521headsofcattleintotal.67%ofthecattleraisedbyUncleLiarefemaleswhilethatamongUncleWangisonlyreaches1/13.Sohowmanyheadsofcattledotheyraiseseparately?M/7isasimples