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绝密★启用前2011年首届全国学而思综合能力测评（学而思杯）数学试卷（六年级 B 卷）时间：13:30 ~14:50 满分：150分考生须知：1. 请在答题纸上认真填写考生信息；2. 所有答案请填写在答题纸上，否则成绩无效填空题（每题8分，共40 分）1. 计算： 1 2 3136 ___.12 3 4【分析】原式= 1 12136 8.12 172. 如图，一个边长为10 厘米的正方形木板斜靠在墙角上（木板厚度不计），AO 距离为8 厘米，那么点C 距离地面的高度是厘米。
A8O分析】6+8=14 厘米3. 3 月11 日，日本发生里氏9 级大地震。
在 3 月15 日，日本本州岛东海岸附近海域再次发生 5 级地震。
已知里氏的震级数每升 2 级，地震释放能量扩大到原来的1000 倍，那么 3 月11 日的大地震释放能量是15 日东海岸地震的倍.分析】差了 4 级，差了 1000× 1000=1,000,000倍.分析】 容易知道为 1则x 2011 _________ 。
填空题（每题 10分，共 50 分）1.在梯形 ABCD 中，对角线 AC 与 BD 相交于 O 点，而三角形 ABO 的面积为 9，三角形 BOC 的面积 为 27，DO 上有一点 E ，而三角形 ADE 的面积为 1.2，则阴影部分三角形 AEC 的面积为【分析】 根据题意，由于三角形 ADO 的面积为 3，则阴影三角形 AEO 的面积为 1.8，所以有三角形 EOC 的 面积为 3.6，则阴影部分的面积为 4.8.2. 有四个人说话，分别如下：A ：我们中至少有一个人说的是正确的B ：我们中至少有两个人说的是正确的C ：我们中至少有一个人说的是错误的D ：我们中至少有两个人说的是错误的 请问：说错话的有人 .【分析】方法一：若没人说对，则 CD 说对，矛盾；若 1 人说对，则 ACD 说对，矛盾；若 2 人说对，则 ABCD 说对，矛盾；若 3人说对，则 ABC 说对， D 错，成立；若 4人说对，则 AB 说对， CD 说错，矛盾，因此只 能是 ABC 说对， D 说错.方法二：因为四个人，所以至少有两人说错或两人说对，因此 AB 一定是正确的，剩下的就容易知道 D 是错4.今天是 2011年 4月 9日， 20110409 这个九位数是 9 的倍数，则方框里应填入的数字是。
2011学而思杯数学答案简单小数计算2011－201.1＋20.11－2.011+0.001 【解析】1828 1.分小四则混合运算(..)¸+´¸254138512311854【解析】541(3.8512.31)1854¸+´¸2()4(3.85 3.612.3 1.8)941.87.712.39436916´+´´=´+´=´==3 已知N *等于N 的因数个数，比如4*=3，则（2011*+10*+6*）*=_______ 【解析】（2011*+10*+6*）*=（2+4+4）*=4 4用字母表示数一个非等腰三角形，一边长为6，一边长为7，还有一边长为6k ，已知k 是自然数，则三角形的周长为______. 【解析】k =2，周长为6+7+12=25. 5基础类型应用题1红光大队用拖拉机耕地，2台3小时耕75亩，照这样计算，4台5小时耕____亩. 【解析】2台1小时可耕75 ÷3＝25亩，4台5小时可耕地25×25×2×2×2×55＝250亩6基础类型应用题2 一个骗子到商店买了5元的东西，他付给店员50元钱，然后店员把剩下的钱找给了他；这时他又说自己有零钱，于是给店员5元的零钱，并且要回了开始给出的50元。
则这个骗子一共骗了______钱？【解析】由于一开始骗子并没有骗钱，产生骗钱的是后用零钱换50元，所以共骗得50-5=45元。
7约数倍数已知A 、B 两数的最小公倍数是120，B 、C 两数的最小公倍数是180，A 、C 两数的最小公倍数是72，则A 、B 、C 三数的最小公倍数是______. 【解析】120=23×3×3×5 5 180=22×32×5 72=23×32所以最小公倍数是23×32×5=360 8简单的逻辑推理2011年8月14日，伦敦羽毛球世锦赛进入最后一个比赛日。
华杯赛初赛试题及答案一、选择题（每题5分，共20分）1. 下列哪个选项是最小的正整数？A. 0B. 1C. 2D. 3答案：B2. 一个数的平方是16，那么这个数是多少？A. 4B. -4C. 4或-4D. 2答案：C3. 一个圆的周长是2πr，那么它的直径是多少？A. πrB. 2rC. rD. 2πr答案：B4. 计算下列表达式的值：(3x^2 - 2x + 1) + (2x^2 + 3x - 4)A. 5x^2 + x - 3B. 5x^2 + x + 5C. 5x^2 + x - 5D. 5x^2 + x + 3答案：A二、填空题（每题5分，共20分）1. 一个数的立方是27，那么这个数是______。
答案：32. 一个三角形的两个内角分别是40度和60度，那么第三个内角是______度。
答案：803. 一个数的绝对值是5，那么这个数可能是______或______。
答案：5或-54. 一个数除以2的结果是3，那么这个数是______。
答案：6三、解答题（每题10分，共20分）1. 已知一个等差数列的前三项分别是2，5，8，求这个数列的第10项。
解答：设数列的首项为a1=2，公差为d=5-2=3，根据等差数列的通项公式an=a1+(n-1)d，代入n=10，得a10=2+(10-1)*3=29。
答案：292. 一个长方形的长是宽的两倍，如果长是10厘米，那么宽是多少厘米？解答：设宽为x厘米，那么长就是2x厘米。
根据题意，2x=10，解得x=5。
答案：5厘米四、证明题（每题10分，共20分）1. 证明：在一个直角三角形中，斜边的平方等于两直角边的平方和。
证明：设直角三角形的两直角边分别为a和b，斜边为c。
根据勾股定理，有a^2 + b^2 = c^2。
答案：证明完毕。
2. 证明：如果一个数的平方等于它的相反数，那么这个数只能是0。
证明：设这个数为x，那么x^2 = -x。
将方程重写为x^2 + x = 0，提取公因式得x(x + 1) = 0。
1.简单小数计算2011－201.1＋20.11－2.011+0.001【解析】18282.分小四则混合运算541??1)12.3?(3.85??1854541【解析】??1)??12.3?(3.8518544?(3.85?3.6?12.3?1.8)?94????1.8?12.37.7?94?36?9?16 3 已知N*等于N的因数个数，比如4*=3，则（2011*+10*+6*）*=_______【解析】（2011*+10*+6*）*=（2+4+4）*=44用字母表示数一个非等腰三角形，一边长为6，一边长为7，还有一边长为6k，已知k是自然数，则三角形的周长为______.【解析】k=2，周长为6+7+12=25.5基础类型应用题1红光大队用拖拉机耕地，2台3小时耕75亩，照这样计算，4台5小时耕____亩.【解析】2台1小时可耕75 ÷3＝25亩，4台5小时可耕地25×2×5＝250亩6基础类型应用题2一个骗子到商店买了5元的东西，他付给店员50元钱，然后店员把剩下的钱找给了他；这时他又说自己有零钱，于是给店员5元的零钱，并且要回了开始给出的50元。
则这个骗子一共骗了______钱？【解析】由于一开始骗子并没有骗钱，产生骗钱的是后用零钱换50元，所以共骗得50-5=45元。
7约数倍数已知A、B两数的最小公倍数是120，B、C两数的最小公倍数是180，A、C两数的最小公倍数是72，则A、B、C三数的最小公倍数是______.3×3×5【解析】120=222180=2×3×53272=2×332×3×所以最小公倍数是25=3608简单的逻辑推理2011年8月14日，伦敦羽毛球世锦赛进入最后一个比赛日。
在女单决赛中，中国选手王仪涵2比0完胜中华台北选手郑韶婕，首次夺得世锦赛冠军，中国队也实现了女单项目的八连冠。
2011学而思杯六年级语文真题解析试卷名称：2011年六年级学而思杯语文考试试卷说明：学而思杯语文试题仅提供给学员参与，所有试题均不判定成绩。
年级：六年级科目：语文试卷满分：100分答题时间：40分钟试题形式：填空＋选择，答案随意赋值，用户答任意答案均判定为错误。
能力分值：全部为0开放时间：2011年10月6日12:20-13:00第一部分基础积累与运用（48分）一、基础单元（共17分）1．看拼音写汉字。
（每字1分，共6分）2．下面成语中有三个成语各有一个错别字，试着找出来，将正确的字写入横线。
（每改对一字得1分，共3分）原形必露走头无路再接再厉高瞻远瞩别出心裁偷粱换柱3．你能准确写出“疾”在下列词语中的含义吗？（每空1分，共2分）疾．恶如仇讳疾．忌医4．用一个成语替换句中划线的部分，使表达更简洁。
（每空1分，共2分）①任何时候，我们做事情都要从实际出发，不能不切实际地追求过高的目标（），而应该踏踏实实，一步一个脚印。
②我的家乡西安是我国多朝古都，它的历史文化非常久远。
伴随着改革的大潮，这里经济文化的发展每天每月都有新的变化（）。
5．下面一段话共有两处错误，请在文中标记出错误，并在所给横线上作相应的修改。
（每处1分，共2分）我早就期望着能去长城游览了。
今年暑假，我终于实现了自己的愿望。
登上宛如长龙似的的长城，望着虽然经历了几千年风雨，但还是那么雄伟壮丽的长城，我领会了它的气魄，难怪人们赞叹中国的长城是世界上的一大奇迹。
第一处：；第二处：16．按照例子填写符合要求的三字词语。
（每空1分，共2分）例：客人来访，拒绝客人进门叫让客人吃（闭门羹）。
①乘人不备，放箭伤人的行为叫（）。
②不怀好意的宴请或加害客人的宴会叫（）。
二、积累单元（共27分）7．争当文化百科家。
（每空1分，共3分）如图所示：含义是；含义是；含义是。
8．据提示准确填写诗句。
（每空1分，共13分，错字不得分）①高鼎的《村居》中“，”为我们展开了一幅清晰而又明丽的田园春景图；而杨万里的名句“，”则通过荷花描写了炎炎夏日里西湖的独特美景。
请将正确答案填到机读卡上第一部分课内延伸1、8.9×2.1+70.31=【解析】原式=8.9×2.1+8.9×7.9=8.9×10=89 2、5.1935374⨯÷=【解析】 原式=13023933574=⨯⨯ 3、98）751531311（⨯⨯+⨯+⨯=【解析】 原式=4298762198）71-5151-3131-1（21=⨯⨯=⨯++⨯4、（1+119×229+229×339）×（119×229+229×339+3）-（119×229+229×339+4）×（119×229+229×339）=【解析】设：119×229+229×339=a原式=（1+a ）×（a+3）-（a+4）×a=a2+4a+3-a2-4a=35、现规定a 2○一b 2=(2a-b)×(2a+b) 那么：11112○一22222=模拟测试题【解析】11112○一22222=（2×1111-2222）×（2×1111+2222）=06、当x=21,y=19时，x 3-3x 2y+3xy 2-y 3=【解析】x 3-3x 2y+3xy 2-y 3=（x-y)3=(21-19)3=87、方程3×（x-5）+50=4x-20的解x=【解析】原方程化为：3x-15+50=4x-20→x=55 8、方程2516216x 3=-+x 的解，x=【解析】交叉相乘得：2（3x+16）=5(2x-16)→解得x=289、方程组⎩⎨⎧=-=+11041803x 5y x y 中y=【解析】方程组的解x=30,y=1010、有一种彩票，可以从1号到10号人选3个不同号，每3个号码为一组。
开奖时会随机抽出3个数字，只有一组的3个号码全选中才能中奖。
2011年六年级“学而思杯”英语试题(样卷)
2011年六年级“学而思杯”英语样卷答案
一、单词辨音
从A、B、C、D四个选项中找出一个画线部分的读音与其他不同的选项
答案：1-5 ACDBC
二、单项选择
从下列各题所给的A、B、C、D四个选项中，选择可以填入空白处的最佳选项
答案：6-10 DACBA 11-15 CDCBB 16-20 ADCCA
三、完形填空
阅读下面短文，掌握其大意，然后从短文后各题所给的A、B、C、D四个选项中选择最佳选项答案：21-25 CBCAD 26-30 CBAAD 31-35 ABCCA
四、阅读理解
阅读下面短文，根据短文内容，从短文后各题所给的A、B、C、D四个选项中，选择最佳选项A篇答案： 36-40 BACDB
B篇答案： 41-45 DCACA
C篇答案： 46-50 BCADB。
12011学而思杯六年级英语真题解析温馨提示：两讲共用一讲讲义。
试卷名称：2011年六年级学而思杯英语考试年级：六年级科目：英语试卷满分：100分答题时间：60分钟试题形式：选择能力分值：全部为0开放时间：2011年10月6日11:20-12:20一、单词辨音(共10分)从A 、B 、C 、D 四个选项中找出一个画线部分的读音与其他不同的选项( ) 1．A ．here B ．near C ．clearly D ．there( ) 2．A ．fair B ．bear C ．year D ．stair( ) 3．A ．see B ．please C ．easy D ．cause( ) 4．A ．know B ．cook C ．Kate D ．bike( ) 5．A ．hurry B ．hundred C ．hour D ．habit二、单项选择(共30分)从下列各题所给的A 、B 、C 、D 四个选项中，选择可以填入空白处的最佳选项6．It‟s time __________ go.A ．toB ．inC ．onD ．at7．--- Peter, why didn‟t you go to the flower show?--- Because I think it‟s something pleasant.A ．far moreB ．far lessC ．too muchD ．much too8．Which month do you like best ?A ．SpringB ．MondayC ．AprilD ．Tuesday9．When the football fans saw Beckham, they got______excited______they cried out.A ．so, thatB ．too, toC ．such a, thatD ．such, that10．_______ you ________ elephants last year?A ．Did, seeB ．Did, sawC ．Does, seesD ．Do, see11．I usually go to work by bike, but yesterday I took taxi.A ．the, /B ．the, aC ．/, aD ．a, /12．If any trouble comes at you, I with you and help you in the future.A ．are going to stayB ．stayC ．will stayD ．stayed13．Do you think that the bridge in 2018?A ．would completedB ．will be completedC ．had been completedD ．is being completed14．Ben‟s sister often _______ a bike on Sundays. Look! ________ riding a bike now.A ．ride, HeB ．rides, She isC ．ride, They isD ．rides, He are215．--- How much is this T-shirt?--- _____________.A ．I‟m tenB ．Thank you C. Fifteen yuan D ．I‟m happy16．--- Excuse me sir, where is Room 205?--- Just a minute. I‟ll let Bob you to your room.A ．showB ．shownC ．to showD ．showing17．The boy was seen an old woman in the street yesterday.A ．helpsB ．helpC ．to helpD ．helped18．The rock singer, along with his bodyguard, from the theater since the crowdsaw him.A ．have rushed awayB ．rushed awayC ．had rushed awayD ．has rushed away19．There are altogether eleven books on the shelf, five are mine.A ．on whichB ．in whichC ．of whichD ．from which20．My little brother is ___________ short to catch the apple on the shelf.A ．tooB ．toC ．twoD ．three三、完形填空阅读下面短文，掌握其大意，然后从短文后各题所给的A 、B 、C 、D 四个选项中选择最佳选项(共30分)One afternoon, my son Adam asked me, “Are all people the same even if they are different in color?”I thought for a minute, and then I said, “I‟ll explain, if you can just wait until we make a quick 21 at the grocery store. I have something interesting to show you.”At the grocery store, we 22 some apples —red, green and yellow ones. Back home, I told Adam, “It‟s time to 23 your question.” I put one apple of each type on the table. Then I looked at Adam, who had a 24 look on his face.“People are like apples. They come in all 25 colors, shapes and sizes. On the 26 , some of the apples may not 27 look as delicious as the others.” As I was talking, Adam was examining each one carefully.Then, I took each of the apples and peeled(削皮)them, 28 them back on the table, but in a different place.“Okay, Adam, tell me which is which.”He said, “I 29 tell. They all look the same now.” “Take a bite of 30 . See if that helps you 31 which one is which.”He took 32 , and then a huge smile came across his face. “People are 33 like apples! They are all different, but once you 34 the outside, they‟re pretty much the same on the inside.”He totally 35 it. I didn‟t need to say or do anything else.21．A ．stop B ．start C ．turn D ．stay22．A ．bought B ．counted C ．saw D ．collected23．A ．check B ．mention C ．answer D ．improve24．A ．worried B ．satisfied C ．proud D ．curious25．A ．ordinary B ．normal C ．different D ．regular26．A ．outside B ．whole C ．table D ．inside27．A ．still B ．even C ．only D ．ever28．A ．keeping B ．placing C ．pulling D ．giving29．A ．mustn‟t B ．can‟t C ．shouldn‟t D ．needn‟t30．A．each one B．each other C．the other D．one other 31．A．admit B．consider C．decide D．believe32．A．big bites B．deep breaths C．a firm hold D．a close look 33．A．just B．always C．merely D．seldom34．A．put away B．get down C．hand out D．take off 35．A．made B．took C．got D．did四、阅读理解阅读下面短文，根据短文内容，从短文后各题所给的A、B、C、D四个选项中，选择最佳选项(共30分)AThere are many unusual hotels around the world. In Greenland, there is a hotel madeout of ice , open between December and April every year. In Turkey, there is a cave hotelwith a television, furniture, and a bathroom in each room. And in Bolivia, there is the SaltPalace Hotel.Thousands of years ago, the area around the Salt Palace Hotel was a large lake. Butover time, all the water disappeared. Today, the area has only two small lakes and two salt deserts.The larger of the two deserts, the Uyuni salt desert, is 12,000 square kilometres. Duringthe day, the desert is bright white because of the salt. There are no roads across the Uyuni desert, so local people must show guests the way to the hotel.In the early 1990s, a man named Juan Quesada built the hotel. He cut big blocks of saltfrom the desert and used the blocks to build it. Specially, everything in the hotel is made outof salt: the walls, the dome roof, the tables, the chairs, the beds, and the bar.The sun heats(使变热)the walls and roof during the day. At night the desert is very cold,but the rooms stay warm. The hotel has twelve rooms. A single room costs＄40 a night, and adouble room costs＄60.A sign on the hotel‟s wall tells the guests, …Please don‟t lick(添)the walls.‟36．What is special description about the Salt Palace Hotel?A．Its long history.B．The price of the rooms.C．The guests that stay there.D．What it is made of.37．Which sentence about the area around the Salt Palace Hotel is NOT true?A．It was a lake many years ago.B．It is white during the day.C．There are several roads across the Uyuni desert.D．It is more than 10,000 square kilometers.38．Where did the salt used for the hotel come from?A．a salt factory B．the desertC．Turkey D．the walls of the hotel39．What keeps the rooms warm at night?A．heat from the walls B．the airC．the moon D．the furniture40．The best topic of the passage is ____________.A．Salt Palace Hotel B．Sugar Desert HotelC．Block Hotel D．Ice Hotel34BThe year 2009 is the Year of Ox. The ox is a representative of the farming culture of China. In the farming economy (经济), oxen are the major animals pulling plows (犁).Of course, the good of oxen is not limited to plowing. In fact, they are seen as "boats on land" for their ability to carry loads. Besides, the whole body of an ox is full of treasures. Their meat and milk is food full of nutrition, and their skin can be used to make clothes and shoes. With all these qualities, oxen are regarded as generous creatures.In the past, oxen played an important role in the spiritual life of the Chinese. Even today, oxen still play a special part in some folk activities. For example, some people who live in southwest China will cook cattle bone soup and share it among family members when holding the ceremony for children who reach 13. They believe that the cattle bone soup represents the blood relationship among family members. In order to express their love for oxen, people in some other areas will run to shake off diseases on the 16th day of the first month by the lunar calendar (农历), and during their run they will take their oxen along, which indicates they regard the creature as human.Because of the contribution of oxen in their lives, the Chinese people are very grateful to the animal. In addition, the use of oxen in ceremonies and the thanks people owe to oxen help to develop various traditional customs, which becomes an important part of the folk culture of the Chinese nation.41．The year 2009 is the Y ear of_________.A ．OxB ．RabbitC ．SnakeD ．Cat42．The words "boats on land" underlined in Paragraph 2 refer to __A ．animals for taking goodsB ．creatures for pulling plowsC ．treasures of the folk cultureD ．tools in the farming economy43．From the third paragraph, we know that __A ．oxen are not more important today than in the pastB ．ceremonies are held when people cook fish bone soupC ．oxen are treated as human in some areas of ChinaD ．people run with oxen to shake off diseases every month44．Which of the following helps to develop traditional customs?A ．The interesting role of oxen.B ．People's respect and love for oxen.C ．The useless value of an ox's body.D ．The construction of oxen to the economy.45．Why does the author write the text?A ．To stress the usage of oxen in industry.B ．To introduce the Chinese folk culture.C ．To describe how to celebrate the Year of Ox.D ．To explain how to develop agriculture with oxen.CBy 1990,according to a World Wildlife Fund(WWF)report, only about 4,500 tigers survived throughout the world --- half of them in India. Mr. Foresters, who followed and counted tiger footprints, estimated(估计)that in May 1992 only about 1,800 tigers existed in India. Project Tiger supported by WWF was immediately launched. Project Tiger is to protect tigers from being killed. So, nine tiger reserves were created, with armed guards protecting them.The project provided opportunities for researchers from India and abroad to study5tigers in the reserves and gather unavailable information about their habits. Studies show that a male tiger may control a hunting territory of between 10 and 20 sq. kms, depending on its age, size, and strength.The territory of a male includes the smaller territories of three or four tigresses. A tiger marks the boundaries of its by spraying urine(尿)and other bodily liquids. But it tries to avoid territory fights, guided by the body smell of other tigers. Tigers fights to death only when a tigress is defending her young, or when a tiger is guarding a tigress from the attention of other males.The popular image of the tiger is that of a cruel and undefeatable hunter. But studies show that it catches only one of 20 victims when it tries to attack.Fears have recently developed that Project Tiger has been too successful. It has enabled th e tiger population to double but India‟s human population has also grown out of control. The land problem is becoming serious and many rural people feel angry about the fact that some rich forests are kept for tigers. A growing number of attacks by tigers on man have added to the hostility(敌意).46．The aim of Project Tiger is to______.A ．study the growth rate of tigersB ．improve the breeding of young tigersC ．protect tigers from being killedD ．analyze the behavior of tigers47．What‟s meaning of the word “territory” in paragraph 2 _______.A ．地盘B ．工程C ．决定D ．安排48．Studies have shown that_______.A ．a tigress never attacksB ．the tigress is always gentleC ．a tiger never fights with another tiger to defend its own territoryD ．the tiger is not as a good hunter as is commonly described49．Some people are afraid that Project Tiger_______.A ．has been carried out too farB ．has failed to achieved its goalC ．hasn‟t received any attentionD ．is not worth the money spent on it50．The author seems________.A ．to be excited about Project Tiger.B ．to have a matter-of-fact attitude towards Project TigerC ．to have an unfriendly attitude towards Project TigerD ．to be satisfied with Project Tiger答案一、单词辨音(共10分)从A 、B 、C 、D 四个选项中找出一个画线部分的读音与其他不同的选项1．【答案】D2．【答案】C3．【答案】A4．【答案】A5．【答案】C6二、单项选择(共30分)从下列各题所给的A 、B 、C 、D 四个选项中，选择可以填入空白处的最佳选项6．【答案】A7．【答案】B8．【答案】C9．【答案】A10．【答案】A11．【答案】C12．【答案】C13．【答案】B14．【答案】B15．【答案】C16．【答案】A17．【答案】C18．【答案】D19．【答案】C20．【答案】A三、完形填空21．【答案】A【解析】文章大意一天下午，我的儿子问我：肤色不同的人是不是都是一样的？我想了一会儿，对儿子说：我们先很快去水果店买的水果回来，然后我演示给你这个问题的答案。
