南外冲刺数学-7

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1、第七讲姓名成绩数学术语：extensionline延长线pointofintersection交点completesquarenumber完全平方数righttrapezoid直角梯形upperbottom上底lowerbottom下底1.Calculate计算:123456+234567+345678+456789+567901+679012+790123+901234=.2.Thereare28childreninaline.Ifwecount（数数）themfromtheleft，thetenthkidisZhangHua.Ifwecountthemf

2、romtheright，whichpositionisZhangHuain?3.May2,1996isXiaohua’sninthbirthday.Hisfatheradds（增加）anumberontherightof1996,andaddsanothernumberonthelefttomakeasix-digitnumber.Thissix-digitnumbercanbedividedevenlybyhisage，monthofbirth,anddayofbirth.Whatisthesix-digitnumber?4.Weput5stoneseve

3、ry5metersinalineontheground.Abasketisonitsextensionline（延长线）and10metersawayfromthefirststone.Asportsmanstartsrunningfromthebasket，andhepicksupastoneeachtimetoputintothebasket.Ifhehastoputallthefivestonesinthebasket，howmanymetersshouldherun?5.Twokidsarethrowingacoinanddecidetheirsuc

4、cess（决定输赢）accordingtothefacesofthecoin.Ifoneloses，hehastogiveoutastone.Atfirsttheirstonesarethesame.Afterseveraltimes，achildhaswon3times,andanotherchildhas7morestones.Howmanytimeshavetheythrownthecoin?6.Wehave5circlesandtheirsizesaredifferent.Howmanypointsofintersection（交dotheyhave

5、atmost?7.Thereare4roomsandatleast2peopleareineveryroom.Atleast8peopleareinany3rooms.Howmanypeoplearethereatleastinthese4rooms?8.Ingrade6ofYucaiSchool，thereare99students.Every3studentsareinagrouptoplaygames.Inallthese33groups,thereare5groupswithonly1boyineachgroup.18groupshave2or3gi

6、rlsineachgroup.Thegroupswith3boysareasmanyasthegroupswith3girls.Howmanyboysarethereinthegrade?1.PlaceAis950metersawayfromplaceB.AandBstartatthesametimeforreturntrips（往返会东习）fromplaceA.Awalks40metersperminute，Bruns150metersperminuteandstopsrunning40minuteslater.HowmanytimeslaterdoAan

7、dBareclosesttoplaceBwhentheymeethead-on（迎面）again?Whatisthedistance（距离）？2.Thedifferenceof2naturalnumbersis98.Thesumsofthedigitsofthetwonumberscanbebothdividedevenly（整除）by19.Thenwhatisthesumofsuchasmallestpair?3.Aandbarenaturalnumbers（自然数）.56^+392/?isacompletesquarenumber.Whatisthemi

8、nimumvalue（最小值）ofa+b?4.The