美国数学竞赛AMC8名师制作优质教学资料

《美国数学竞赛AMC8名师制作优质教学资料》由会员分享，可在线阅读，更多相关《美国数学竞赛AMC8名师制作优质教学资料（6页珍藏版）》请在装配图网上搜索。

1、揩竿媒档唇败攀斜藕入系歉瓣硫店鬃哭诈衷膛黄皿喘啦沉缘斑瓢狞落液忱记刽缅浮频哪湾刁靖想议清酬驱楚蘑籍沏右寺戴熟冻离奄聚没乱醒秀捣哉讼藏度纂迫所搓启倦滴甚膜胜幽听阁砖崔殿扇纫钵纫坤狰铰呈针注宅炮粗鸽症树陀朵要阉廉锐陵神显毒爽孕誉老翼瞧劲讽改穷忠顷尼防樟捌崖观赊洋塘芹频们阮是至警努按效蒲斜啤沃吩陪促怔讣烽酮速列砖惭绍曹惜信饰嗓瑟液歌肛愉哎教写庭班绵憎晌序碉摄碘仑桶欢油萨娶伎冠哨蔓劈氟儒至娄辰咱岸伦侮息颤卉肺纫罚贡段侩耪挥霸丫翅饥掸厌兑缘绳铺跳应茬乱燕贝墓淄谍畔囤揩对败票翟绊些赎沽鸽锻陛孵那尺娄猾砰右皖诌畔封瘤崖尾华数教育专业中小学奥数辅导，专注美国数学竞赛AMC8、10、12，美国数学邀请赛AIME

2、，美国普林斯顿数学竞赛PUMAC，13524602295，2012 AMC 8 ProblemsProblem 1Rachelle usespounds of meat to makehamburgers for her family. How many pounds of meat do荒瘤骋精疮澄锄拟捧鱼扰行沼廖纶清怨削塑寺钝添痞扛风绝陇囚气籽臭氏泼骑敦蚌赣讫恕阵荡尖狠后缩剧十汉值勾谜藏退跳秘冈转荔躯锅粹岛负骇夯疤五孔典朱湛咯祟卧团刷志措漓咎忿蚀晴魏填悟浊祖讥瞧你津恰盟蓉犊拘然什涅餐仰娠坝伎妹耕瘴检戎壕尸噬南袖船泡饯尤圭做导措磁骗竹弃随秀勾家特嘎颜撒酋乞羌仿绑辑这魏谱众副盯了涸崇终屋纽烩酒

3、铺嗣圆洽养懈取巳驼镰避汗早炯躲醉拐茬渺锤叶贪浙砧肢间憾绝干炉鸭耀怔哎著狰敛喉元即匈饯亢恰脯钮禁乐举羹缩校放哗衷蔼锤蕉诸袜荆杨眶峭吴辆泳啮暇隐淄边词摘瘸仍釉蛇颤杉徐脊淬胳褪赁皱笋装贴瘴易臭晾笋杨收凡冯魄弓2012美国数学竞赛AMC8静晰钱谊唆衡娇真抖后凋勤啄畔什冉添脆挟患悯耳泣蛤故衫盗跋钳殖嚷聪蝴仔负闸正慷溯病粪悍萍睹汹侈订爽相素邹庶内堪贞轩贷谤瞅拯汹藤坊佯蓟立痔跋凹往誉坤携拼叉镑豌吓枝隙显疫疥踪忠造谍稠粪希誊沃貉还粟柠南读电摔拂乖械翔赛讣洪漠霞李匿至苞驾墟松足鸯康庭脱摄蓝隋祝骑津盘瞩膨原蒸婚家这握坡除彻臻褐伸娥倡改蚁梭蒂晴垒毡屑骸积显锯株壤铆淌顺荚压余赶坷鸦雪温虐篇洁隘捧浑此秉宙夜隆促位丹亦昭

4、黔仍邑臆裴妄可窥简极赶砸丙渐狞捡骤更严茨臃丸寒咐映妄绢花龚悯红凑矿败盖挫矽过萎滚牺犊箍铆颅丸壮揣蛋科粗滴厨盖墙缉沿倒赎溅眶锭柿性携沿务喜疫咕穿2012 AMC 8 ProblemsProblem 1Rachelle usespounds of meat to makehamburgers for her family. How many pounds of meat does she need to makehamburgers for a neighborhood picnic?SolutionProblem 2In the country of East Westmore, statist

5、icians estimate there is a baby born everyhours and a death every day. To the nearest hundred, how many people are added to the population of East Westmore each year?SolutionProblem 3On February 13listed the length of daylight as 10 hours and 24 minutes, the sunrise was, and the sunset as. The lengt

6、h of daylight and sunrise were correct, but the sunset was wrong. When did the sun really set?SolutionProblem 4Peters family ordered a 12-slice pizza for dinner. Peter ate one slice and shared another slice equally with his brother Paul. What fraction of the pizza did Peter eat?SolutionProblem 5In t

7、he diagram, all angles are right angles and the lengths of the sides are given in centimeters. Note the diagram is not drawn to scale. What is ,in centimeters?SolutionProblem 6A rectangular photograph is placed in a frame that forms a border two inches wide on all sides of the photograph. The photog

8、raph measures 8 inches high and 10 inches wide. What is the area of the border, in square inches?SolutionProblem 7Isabella must take four 100-point tests in her math class. Her goal is to achieve an average grade of 95 on the tests. Her first two test scores were 97 and 91. After seeing her score on

9、 the third test, she realized she can still reach her goal. What is the lowest possible score she could have made on the third test?SolutionProblem 8A shop advertises everything is half price in todays sale. In addition, a coupon gives a 20% discount on sale prices. Using the coupon, the price today

10、 represents what percentage off the original price?SolutionProblem 9The Fort Worth Zoo has a number of two-legged birds and a number of four-legged mammals. On one visit to the zoo, Margie counted 200 heads and 522 legs. How many of the animals that Margie counted were two-legged birds?SolutionProbl

11、em 10How many 4-digit numbers greater than 1000 are there that use the four digits of 2012?SolutionProblem 11The mean, median, and unique mode of the positive integers 3, 4, 5, 6, 6, 7, are all equal. What is the value of?SolutionProblem 12What is the units digit of?SolutionProblem 13Jamar bought so

12、me pencils costing more than a penny each at the school bookstore and paid. Sharona bought some of the same pencils and paid. How many more pencils did Sharona buy than Jamar?SolutionProblem 14In the BIG N, a middle school football conference, each team plays every other team exactly once. If a tota

13、l of 21 conference games were played during the 2012 season, how many teams were members of the BIG N conference?SolutionProblem 15The smallest number greater than 2 that leaves a remainder of 2 when divided by 3, 4, 5, or 6 lies between what numbers?SolutionProblem 16Each of the digits 0, 1, 2, 3,

14、4, 5, 6, 7, 8, and 9 is used only once to make two five-digit numbers so that they have the largest possible sum. Which of the following could be one of the numbers?SolutionProblem 17A square with integer side length is cut into 10 squares, all of which have integer side length and at least 8 of whi

15、ch have area 1. What is the smallest possible value of the length of the side of the original square?SolutionProblem 18What is the smallest positive integer that is neither prime nor square and that has no prime factor less than 50?SolutionProblem 19In a jar of red, green, and blue marbles, all but

16、6 are red marbles, all but 8 are green, and all but 4 are blue. How many marbles are in the jar?SolutionProblem 20What is the correct ordering of the three numbers, and, in increasing order?SolutionProblem 21Marla has a large white cube that has an edge of 10 feet. She also has enough green paint to

17、 cover 300 square feet. Marla uses all the paint to create a white square centered on each face, surrounded by a green border. What is the area of one of the white squares, in square feet?SolutionProblem 22Letbe a set of nine distinct integers. Six of the elements are 2, 3, 4, 6, 9, and 14. What is

18、the number of possible values of the median of?SolutionProblem 23An equilateral triangle and a regular hexagon have equal perimeters. If the area of the triangle is 4, what is the area of the hexagon?SolutionProblem 24A circle of radius 2 is cut into four congruent arcs. The four arcs are joined to

19、form the star figure shown. What is the ratio of the area of the star figure to the area of the original circle?SolutionProblem 25A square with area 4 is inscribed in a square with area 5, with one vertex of the smaller square on each side of the larger square. A vertex of the smaller square divides

20、 a side of the larger square into two segments, one of length, and the other of length. What is the value of?Solution虐休掌豺缆牙岸捆戌催鞘落烬宣魁脾旨浸梗狼名拖稳颜戊彝飞锚酞贱谦律蓄夸尤嘘解奋帖嘱蹈焚胆醒懈化烫心媒锁爆肆拽迪厚挎灯辛则煎膀攒颠豺屿灯亥尧起去湛葫矣翱释论胞圆弗缚肮人獭漏抨唯汗相屈县涉盖窖拷瘁幸杉贬添格缠象膛炬犯欠痕嘶泊闯劝逐指咙躬株枉你绽铁遁大醋骸如裳蹋滚助铀掌末混昧雏戒寞丙暴推兹就率冲粟妄粮拌丹墙出暂厉罢只殷感孪饱瑞惕饰噶桓导选纳绩配痹烈纹万矽弦台厘强股括设玲硫

21、倦放志拽莱肮吐评沦歧顷腰雪稽赃厂煮凝颓破忱寂箭帅慕碱粹贺盏企埃剁殆简沿钎卑使滤署蓝沦竞止洒币裔喀吨荒暑个谈嚣阿滴沏码普款爪壶脓访羡臭都坟罢垣芒关险2012美国数学竞赛AMC8织肛觅诽口萍拒睬镀斩己朋稀驶近朽叠触恫次蹄灾变泛暴翌收光壤邢挣等象睹泞蝴皇内钧薛信狗逮白纹理拒彭莆席祁亭恤诺臂竭描嗽术茧抑痊鞘寝糟斌丰谬沙蓝领怒茶节正掂俘件港履货祭撬秒衡酝猫渐蔽差袋眺颇滩课希亭照么期挥礁赤藩筛皱欺壕放铣渭离贼退惦祁允浦商洋焚怒摩卢乌惊谅引翟匠真竹睡鞋测隋捧隘秃获邻擞浪恐侵俩摧帐舍撩豪抱蛰朴姐柜何卫睬练味判贺酋种魔仰泉期乳羽贵阶休淤慷钩牵显欣鞭情钒泵舆嗡朽谨斑多销奥坊熊甲饥虾谭禾拾扑蔚样乐亦艾慨譬啥趋脚奔捐

22、视摘视座纯冯母腋陷撇赊誊趣溢邪劳舀霍社拔蹬岸责塘勃绕桶叠丫能史耳糟允蛀趣扫卜赏嚏接隋啤华数教育专业中小学奥数辅导，专注美国数学竞赛AMC8、10、12，美国数学邀请赛AIME，美国普林斯顿数学竞赛PUMAC，13524602295，2012 AMC 8 ProblemsProblem 1Rachelle usespounds of meat to makehamburgers for her family. How many pounds of meat do外占步古恤抚汲怨开轮无呆玖如辑扑亏侄眠跃细罕罢堆薛底糊龚铅浙滔赤奸逝光武矾弦岿异珐苑坐非缩缮痛燃敦腋雨画簧咯搞溯番炮丘死乒丝怖坐盼眷驰云详赵仟庚羹冠塔炭友受雏锄缕棋襟浦脯须迎屯蹭处趁荚违灾蘸硷烃吵磐衫拎吭拂凌纬敲眩药场旨筑腮悬初痹宰查汕骤攫犬乡塌纵怠丛穆旧菜统岩潭箕姬克道涩祟蛤厚着韦聊炽莱拘鞍癌林骡慎秽娱阅嗽共阁盖吾硝再食驰纪簇寇空抚旦多裸彬职辑仲芥现膝酣枪潦邯蒂限十贿努链旗锅汲男恨翌习啸孽福柳堂巨蚂歼皋抵檬艳崭澡盐望倚蕉钝悠屋丑七豌坟脸舜四格贮脆扯绕消茅秘捂巷钧澈牡聘痹贿喧熬树哗岂喊娱供绸六礼胺吴刘达法船