单元测试10
Unit 10 单元测试卷-八年级英语上册(人教版)
Unit 10 If you go to the party, you'll have a great time!单元测试卷（解析版）时间：90分钟满分：100分一. 单项选择（每小题1分，共15分）从A.B.C.D四个选项中选择可以填入空白处的最佳答案。
1.We won't go to the Great Wall if it ___________ the day after tomorrow.A.won't rainB.is rainingC.rainsD.doesn't rain【答案】C【解析】句意：如果后天下雨，我们就不去长城了。
根据句意，故选C。
此题考查句子主将从现时态，要特别注意。
2.Don't ___________ jeans to the party.A.put onB.wearC.wearingD.dress【答案】B【解析】A. put on 穿上，动态（穿的动作）；B. wear穿上，带上，静态；C. wearing 动名词（don't后接动词原形）；D. dress给...穿上，宾语是人；句意：不要穿牛仔裤去晚会。
根据句意，故选B。
此题考查表示穿，戴动词辨析，较易选错项是put on。
3.I was ___________ tired to climb the mountain.A.a littleB.a bitC.muchD.too【答案】D【解析】A. a little 一些，一点；B. a bit一点点；C. much非常，很；D. too太，too...to..太...而不能...。
句意：我太累爬不了这座山。
根据句意，故选D。
要注意too...to...太...而不能...的特殊意义。
4.I ___________ to bed until my granny came back home.A.didn't goB.wentC.had goneD.have gone【答案】A【解析】A. didn't go 不能去，过去时态；B. went去，过去时态；C. had gone已经去了，过去完成时态；D. have gone已经去了，现在完成时态；根据句中“came”可知句子时态是过去时态；not... until固定句型，直到...才...；句意：直到我的奶奶回到家，我才去睡觉。
人教 版英语九年级全册单元测试卷：Unit 10
Unit 10 You're supposed to shake hands.第一节单项选择（本题共15小题，每小题1分，计15分）( )1．I felt ____ nervous when we had a test.A．bit B．a bit of C．a bit D．a little of( )2.Why not read the novel?I think it is worth.A.readB.to readC.readsD.reading( )3. Last Sunday my whole family went to the beach my father. He was away on business.A.fromB.exceptC.withD.including( )4.I'm not sure,but he's supposed sometime next week.A.returnB.returnsC.to returnD.returning( )5.She used up late, but now she is used to up early.A.get;getB.to get;gettingC.to get;getD.get;getting( )6．We mustn't go into others' room without ____ at the door.A．knock B．to knock C．knocking D．knocked( )7．I'm very strong, so nothing will make me ____ my mind.A．change B．to change C．changing D.changed( )8．I just kept ____ when she was drawing.A．waiting B．wait C．waited D．to wait( )9．Mary always goes out of her way ____ me to study.It's really kind of her.A．to help B．help C．helping D．helped( )10．The boy is ____ into a good university this year.A．expect to go B．expected to goC．expected to going D．expect to going( )11．As for the problem, I don't agree you. My idea is different yours.A.with;asB.with;fromC.to;asD.to;from( )12．I find ____ not difficult to remember what the teacher says.A．that B．this C．it D．its( )13．____ is really hard ________ them to climb Mount Qomolangma.A．It; for B．This; to C．This; for D．It; to( )14．To keep safe, everyone in the car ____ to wear a seat belt.A．is supposed B．supposes C．supposed D．will suppose ( )15．Helen gradually got used to ____ hands with her Chinese friends.A．shake B．shaking C．wipe D．wiping第二节完形填空（本题共15小题，每小题1分，计15分）阅读下面的短文，掌握其大意，然后从短文后各题所给的A、B、C、D四个选项中选出可以填人相应空白处的最佳答案。
人教版英语八年级上册第十单元测试题及答案Unit 10
人教版英语八年级上册第十单元测试题及答案Unit 10Unit 10: If You Go to the Party。
You'll Have a Great Time!n 1: Multiple Choice (15 ns。
15 points)1.You should apologize to your elder sister。
Which modal verb is appropriate?A。
shallB。
shouldC。
couldD。
would2.Which modal verb is appropriate to express the importance of not drinking and driving?A。
shallB。
shouldC。
couldD。
would3.If there is a change in the plan。
when will you be informed?A。
you could have been toldB。
you might be toldC。
you will be toldD。
you have been told4.He will come if you invite him tomorrow。
Which verb tense is correct?A。
will come。
will inviteB。
should come。
should inviteC。
comes。
will inviteD。
comes。
invite5.Do you know if he will come tomorrow。
If he does。
what will happen?A。
He will come。
inviteB。
He won't come。
inviteC。
He comes。
will inviteD。
He doesn't come。
invite6.Terra。
人教版七年级下册英语 【单元测试试卷含答案】Unit 10 试卷含答案(3)
七年级下册英语Unit10单元测试Ⅰ.单项选择。
（15分）()1.Here is the mutton.Please______.A.cut it upB.cut up itC.cut it downD.cut down it ()2.---Is there______meat in the soup?---Yes,there’s______mutton in it.A.any;anyB.some;someC.any;someD.some;any ()3.He likes______dumplings for lunch.A.chicken and cabbageB.chickens and cabbagesC.a chicken and cabbageD.chickens and cabbage()4.---What would you like?---I’d like some dumplings______cabbages and beef.A.withB.inC.hasD.of()5.---______?---I’d like some noodles.A.What do you likeB.Do you like some noodlesC.What size would you likeD.What would you like()6.---Would you like to attend China’s Got Talent(中国达人秀)?---_________But I’m busy revising for my test.A.Don’t mention it.B.I’d love lo.C.That’s all right.D.My pleasure.()7.---Would you please pass me something to drink?---What about some______?A.beefB.fishC.juiceD.bread ()8.---What size pizza would you like,small or medium?---__________.A.Small,pleaseB.Medium,pleaseC.Sorry,I don’t knowD.Both A and B ()9.---What kind of noodles would you like?---I'd like some________noodles.A.carrotsB.beefC.potatoesD.vegetables()10.You can't tell him our phone number________.A.stillB.justC.yetD.too()11.---Would you like a glass of milk?---________A.No，I don't want anything to eat.B.Yes，please.C.No，I don't.D.Why not have some cakes?()12.---What would you like for breakfast?---I'd like________.A.tomato noodleB.tomato noodlesC.tomatoes noodleD.tomatoes noodles ()13.---________？---Yes.A glass of orange juice and a hamburger.A.Do you want itB.What do you wantC.Can you help meD.May I take your order()14.---Can I help you?---Yes,I’d like two______and some pears.A.potatoesB.tomatoC.beefD.apple()15.For________，I like beef and fish.But I don't like chicken.A.fruitB.vegetablesC.drinksD.meatⅡ.完形填空。
人教版九年级英语Unit 10单元测试卷及答案
人教版九年级英语Unit 10单元测试卷第一部分(听力共30分)I.听对话，选答案(共15小题,计20分)第一节:听下面10段对话，每段对话后有一个问题，读两遍。
请根据每段对话的内容和后面的问题，从所给的三个选项中选出最恰当的一项。
(共10小题,计10分)( ) 1. A. I am full. B. It was delicious. C. I don’t want to eat more.( ) 2. A. At about 6:30. B. At about 7:00. C. At about 7:30.( ) 3. A. Being on time. B. Greeting others C. Buying some presents.( ) 4. A. To eat with his chopsticks. B. To put his chopsticks on the table.C. To stick his chopsticks into his food.( ) 5. A. Korea. B. Japan. C. Brazil.( ) 6. A. India. B. America. C. Brazil.( ) 7. A. At 8:50. B. At 9:00. C. At 9:10.( ) 8. A. some snacks. B. Some books C. Some flowers( ) 9. A. What to take to her friend’s party. B. How to behave at the dinner table.C. What to wear at her friend’s party.( )10. A. They are supposed to kiss. B. They are supposed to bow.C. They are supposed to shake hands.第二节:听下面两段对话，每段对话后有几道小题，请根据每段对话的内容和后面的问题，从所给的三个选项中选出最恰当的一项。
新人教版五年级上册《第3章_小数除法》小学数学-有答案-单元测试卷(10)
新人教版五年级上册《第3章小数除法》单元测试卷（10）一．填空．（第7、12题各3分，第13题4分，其余每题1分，共20分）1. 2.5小时=________分1260米=________千米1.2小时=________分3.05千克=________千克________克3.02千克=________克3千米50米=________米450平方分米=________平方米3.8米=________米________分米。
2. 除数是整数的小数除法，商的小数点要和________的小数点对齐，如果除到被除数的末尾仍有余数，就在余数后面添________，再继续除。
3. 已知两个因数的积是116.5，如果其中一个因数是8，那一个因数是________．4. 计算中0.387÷0.45时，去掉除数的小数点把它变为45，要使商不变，被除数应变为________．5. 1.748÷2.3=________÷2337.8÷0.18=________÷18．6. 在横线上填上“<”，“>”或“=”7. 两个数相除，商是27.6，如果把被除数的小数点向右移动两位，除数的小数点向左移动一位，它们的商是________．8. 已知A=22.5×0.6，B=22.5÷0.6，C=0.6÷22.5，不用计算，判断出________最大，________最小。
9. 被除数与除数同时扩大100倍，商________．10. 7.986精确到十分位是________；保留两位小数是________．11. 一个三位小数精确到百分位是3.80，这个三位小数最小可能是________，最大可能是________．12. 在横线上填上“>”或“<”：3.45÷0.99________3.451.88÷1.01________1.882.85÷0.6________2.85×0.63.76×0.8________0.8×3.76．13. 李老师给参加数学竞赛获奖的同学买奖品，用148.8元买了12枝钢笔，每枝钢笔值________元。
人教版七年级英语下册第十单元测试题 Unit 10 含答案
Unit 10 I’d like some noodles.单元测试（100分）一、单项选择（15分）( )1. —What would you like to eat? —Some________，please.A．bread B．carrot C．teas D. vegetable( )2.—What kind of noodles would you like? —I'd like ________ noodles.A．muttons and carrots B．mutton and carrot C．muttons and carrot D．mutton and carrots( )3.I don't like eating ________，but I have two ________.A．chickens; chicken B．chickens; chickens C．chicken; chickens D．chicken; chicken( )4.—Would you like some rice or meat? —________. Maybe(或许) a bowl of noodles.A．That's OK B．I'd love to C．I'm not sure D．Of course( )5.She'd like ________ some bread after school.A．have B．Having C．to have D．has( )6.—Are there _______ vegetables in the soup?—Yes, there are _______ tomatoes in it.A. some; someB. any; anyC. some; anyD. any; some( )7.—May I ________ your order? —Yes. I'd like some mapo tofu ________ rice.A．take; with B．take; in C．ask; with D．ask; in( )8. Two glasses of orange juice ________ on the table.A．are B．is C．have D．has( )9.—I hear Tony is a lovely and honest boy. —________. We all like him very much.A．That's right B．Sounds good C．Yes, please D．No problem( )10.Would you like ________ chicken________ breakfast?A．one; to B．some; of C．some; for D．a; for( )11.He'd like a hamburger________ chicken.A．in B．on C．for D．with( )12.—What ________ bowl of noodles would you like, small, medium or large?—A large bowl of beef noodles, please.A. colorB. priceC. sizeD. kind( )13.He says the icecream tastes ________ and sells ________.A. good; wellB. good; goodC. well; wellD. well; good( )14.—Good morning, madam. Can I help you?—Sure, I'd like ________ for cooking vegetables.A．two cups of coffee B．three pieces of bread C．one bowl of dumplings D．five kilos of oil( )15.—________？—Yes. I'd like some tea, please.A．Can I help you B．What's your favoriteC．May I give you some tea D．What would you like二、完形填空。
小学一年级下册语文单元测试卷10
lián y ì lián
五、连一连。
一个
蒙蒙的
一棵
孤单的
一场
有趣的
一只
挺拔的
dúpīn yīn xiě cíyǔ
六、读 拼 音 ， 写 词 语 。
tīng shuō tǔ dì
-
故事 大树 细雨 喜鹊
zhāo hu kuài lè
xǔ duō
jiǎng huà jū zhù
gē ge
老师的
题号
一
二
三
中考试
了，希望
得分
认真听
细作答，工整书写，祝同学们考出优异的成绩！
总分
一、基础知识。（70 分）
1.把词语与相对应的音节连起来。（5 分）
春风
zài jiàn
再见
chūn fēng
夜色
kuài lè
孤单
yè sè
gū dān
快乐
2. 在括号里写出相应的大写字母。（8 分）
b( ) q( ) h( ) d( )
事情往往就是这样，对别人合适的东西，对自己不一定合适。 1、妈妈适合戴_________，奶奶适合戴_________。 2、小猴戴妈妈的眼镜感觉是____________，戴奶奶的眼镜感觉是 ____________。 3、这篇短文说明的道理什么，请在正确的答案后面打“√”。 1）小猴不能戴奶奶的眼镜。 （ ） 2）小猴不能戴妈妈的眼镜。 （ ） 3）对别人适合的东西，对自己不一定适合。 （ ）
()
3.《怎么都快乐》让我们感受到一个人是快乐的,在集体中更快乐。( )
11、我会把古诗补充完整。（4 分）
静夜思
（ ）前明月光, 疑是地（ ）霜。
单元测试题(Units 10~12)
Revision Practice (Units 10~12)Ⅰ.Find out the word which has the different sound from the others.从下列每四个划线部分中选出与其他三项发音不同的一项。
(10分，每小题1分)1.A.Lucy B.fry C.busy D.study2.A.sitcom edy e D.coffee3.A.unlucky B.just C.during D.discuss4.A.twins B.till C.opinion D.fine5.A.phone B.host C.top D.broke6.A.weather B.sweater C.interview D.certainly7.A.window B.now C.how D.crowd8.A.health B.teeth C.mouth D.with9.A.house B.half C.hour D.hair10.A.wear B.wash C.worry D.wrongⅡ.Choose the right answer. 单项选择。
(20分，每小题2分)11.How many people ______ there in the park yesterday?A.areB.wereC.isD.was12.______ was the food in your school?A.How manyB.WhyC.HowD.Where13.______ clever boy!A.What aB.WhatC.HowD.How a14.He ______ his homework ______ Sunday.A.don't do;atB.doesn't do;onC.isn't do;inD.does;of15.She often ______ to school ______ 7:30 in the morning.A.go;atB.goes;atC.go;toD.going;in16.The students have ______ classes ______ Saturday and Sunday.A.no;onB.not;atC.no;toD.not;from17.______you like to have lunch with us?A.DoesB.WouldC.HaveD.Are18.How many can you see I can't see ______.A.someB.anyC.onlyD.lot19.—What's that man?—______.A.He's JohnB.Yes,it's a manC.It's JohnD.He's a worker20.Mother often buys some food ______ her way ______ home.A.to;onB.on;/C.on;toD.on;onⅢ.Cloze test.完形填空。
新人教版九年级第十单元测试题附答案
新人教版九年级第十单元测试题附答案Unit 10 You are supposed to shake hands。
（时间：100分钟，满分:100分）Ⅰ.单项选择。
(每小题1分,共15分）（）1. We should make ________ effort to make Jack give up ________ silly plan。
A。
an;the B。
an;a C. the；a D。
a；an( ) 2. People in China ________ when they meet for the first time。
A。
bow B. kiss C. shake hands D. laugh（）3。
-Excuse me。
Is this a（n）________ chair?—No。
My sister is coming。
I'm keeping the chair for her。
A。
comfortable B。
big C. empty D。
new( ) 4。
I found ________ difficult to make friends with him because he is very shy.A。
that B. it C. one D. this（）5.He was worried about the exam，but he passed it ________.A。
first of all B. after all C. not at all D. above all（) 6. The host goes out of his way to make me ________.A。
to feel at home B。
to feel in home C. feel at home D。
feel in home ( ）7. I’m not sure，but he's supposed ________ sometime next week。
苏教版一年级上册数学单元测试试题及答案(10个单元)
单元测试中心一一、找朋友。
(把数量相等的实物与数字用线连起来。
)(6分)二、请数一数,并照样子画一画。
(6分)三、接着画○，使其个数与左边的数字相同。
(15分)四、请数一数，看相同的图形有几个?(15分)五、请仔细数一数，把缺少的画出来。
(12分)六、请比一比，把正确答案涂成“●”。
(12分)1.哪辆车跑得快？2.哪边杯子多？3.哪只动物轻?4.哪棵树高？七、比一比，谁多谁少？(12分)1.和( )2.比 ( )3.比 ( )4.比( )八、红红分别将鹌鹑蛋、鸡蛋、鹅蛋放进盛有相同水的杯子里，请你猜一猜，鹌鹑蛋在几号杯中呢？(10分)鹌鹑蛋在( )号杯子中。
九、走进生活，解决问题。
（12分）1.每个盘子里正好放2个苹果，应选哪一堆？请在“□”里画“√”。
2.有满满的两瓶牛奶，第①瓶是小明喝剩下的，第②瓶是小乐喝剩下的，谁喝得多？请在“□”里画“√”。
参考答案单元测试中心一一．答案：1.○● 2.○● 3.●○ 4.○●二．答案：略三．答案：略四．答案：略五．答案：略六．答案：5个 4个 1个七．答案：1.同样多 2.少 3.少 4.多八．答案：2九．答案：1.第四堆 2.小乐第一单元测试卷一、连一连。
二、有几个就画几个“○”。
三、把同样多的涂色。
四、有几只就涂几个“”。
五、在正确的圆点图下面画“”。
六、做一做。
1.有3只小猫,每只要吃1条鱼,挑选哪个圈比较合适?2.西天取经路上,师徒四人走得又累又饿,如果每人吃2个桃,需要几个桃呢?请你圈出来。
七、哪个圈里物品的数目与其他圈里的不一样?请在()里画“”。
第一单元测试卷答案一、略二、○○○○○○○○○○○○○○○○○三、提示:涂第二幅和第四幅。
(涂色略)四、●●●●●●●●●●●●●●●●●●●●●●●●五、()()()()()()()()六、1.第一堆。
2.提示:圈8个桃。
(圈图略)七、提示:在第一行的第二个、第二行的第四个下面画“”。
第二单元测试卷一、画一画。
MODULE10(单元测试)外研版(一起)英语二年级上册
新标准英语二年级上册ModulelO 测试题、Look and choose. 看一看，选一选。
()1. Come , please.A. theB. inC. /()2. We eat dumplings Chinese New Year.A. atB. inC. by()3. We firecrackers at Chinese New Year.A. hasB. haveC. are have()4. In UK, wc have Christmas.A. theB./C.a()5. We have a dinner and sing songs.A. bigB. ()6. Happy New Year!A.新年好B. ()7. What are these?A.这些是什么？ ()8. Here's a present for you.A.这是给你的礼物。
()9. Wc wish you a happy ChristmasA.祝你新年快乐！()10. Christmas is in winter. A.圣诞节在冬天。
二、Read and choose.根据所给情景，.你想知道这些是什么，你会问：<.2 .你告诉大家你喜欢饺子，你会说：。
3 .你不喜欢冬天，你会说：。
4 .当你收到别的礼物，你应该说：。
5 .圣诞节到了，你会对大家说：。
6 .请别人进屋时，你会说：o 三、Reading.阅读理解。
Christmas Day comes in winter. Il is always on the same day each year. It r s on December 25lh. We always gel up early on Christmas Day. When wc get up, wc find presents at the end of our beds. Wc open our presents in the morning. We have a big lunch at home. In the afternoon, we play games and have a good time. In the evening, I'm usually very tired, so I go to bed at about 1 O'clock.1. Read and choose.根据短文内容，选择正确答案。
七年级英语下册单元测试卷(10)
七年级（下）英语单元测试卷（十）（Unit 10）时量:90分钟总分120分Ⅰ.听力技能（三部分，共20小题，计25分）A）反应根据你所听到的内容，选择正确答语完成对话。
（共5小题，每小题1分）（）1. A. Mutton dumplings. B. Beef noodles. C. A large bowl.（）2. A. It's chicken. B. Yes, I am. C. Yes, please.（）3. A. I’d like some dumplings. B. I’d like a large bowl. C. I’d like milk.（）4. A. Yes, I’d like some tomatoes, please. B. Thank you. C. Yes, I can.（）5. A. 31 Green Street B. 5379776. C. Mr. Green.B）理解根据你所听到的对话，选择最佳答案回答问题。
（共10小题，每小题1分）听下面的对话，回答第6至7小题。
（）6. What kind of food does Jim like?A. Dumplings and rice.B. Milk and bread.C. Chicken and noodles.（）7. Who like chicken and noodles?A. Ann.B. Jim.C. Jim’s parents.听下面的对话，回答第8至9小题。
（）8. What kind of soup does the girl want at first(起初)?A. Fish soup.B. Mutton soup.C. Chicken soup.（）9. How much is the tomato soup?A. $ 1.B. $ 2.C. $ 3.听下面的对话，回答第10至12小题。
2020-2021学年人教新目标初二英语上册单元测试卷Unit10(含解析)
2020-2021学年人教新目标初二英语上册单元测试卷Unit 10笔试部分一、选择填空。
（共25小题，每小题1分；计25分）A. 从下面方框中选出与下列各句中划线部分意思相同或相近、并能替换划线部分的选项。
（共4小题，每小题l分；计4分）A. buyB. believe inC. enjoy yourselfD. has time( ) 26. I hope you will have a great time in Chengdu.( ) 27. I usually get vegetables from that supermarket.( ) 28. Mr Li will take me to the park if he is free next Sunday.( ) 29. Don’t trust the man. He never keeps his promise.B. 从各题中的A、B、C三个选项中选择正确答案。
(共l7小题，每小题l分；计17分) ( ) 30. — I’m sorry. I’ll be _______ busy to go to your party this evening.— That’s all right.A. tooB. soC. very( ) 31. — Helen, can I wear jeans and a T-shirt to the evening party?— OK. But a dress might be ______.A. goodB. coolC. better( ) 32. — We can’t catch the bus ______ we run quickly.— OK, let’s hurry up.A. becauseB. whenC. unless( ) 33. It’s a different _______ to study in a foreign country and you can learn a lot from it.A. eventB. experienceC. exercise( ) 34. There are many ways to ______ this problem. Let’s discuss which is the best one.A. findB. reachC. solve( ) 35. The teacher _______ some students to clean the park last Sunday.A. organizedB. plannedC. decided( ) 36. — Do you live far from your school?— Not very. It usually _______ me fifteen minutes to ride to school.A. takesB. spendsC. pays( ) 37. Mrs Brown ______ her husband to give up smoking because he was in poor health, but he didn’t listen.A. plannedB. advisedC. refused( ) 38. — Why does your brother Bill look ______?— Because he failed the English exam last week.A. happyB. angryC. upset( ) 39. — I don’t know how to learn English well.— You can get some _______ from an expert.A. adviceB. plansC. secrets( ) 40. My sister is a _______ girl. She always makes mistakes whatever she does.A. carefulB. carelessC. serious( ) 41. The man tried several times to start the car, and he succeeded _______.A. in the pastB. in the endC. at first( ) 42. You’re halfway to ________ a problem just by ______ to someone about it.A. solving; talkingB. solve; talkingC. solving; talk( ) 43. — I don’t know the answer, but you can ask _______.— Thank you all the same.A. someone elseB. anyone elseC. else someone( ) 44. — You can’t leave until the party finishes, Tom!— Well, what ________ if I leave?A. happenedB. will happenC. happens( ) 45. — I am not sure ______ to do the job.— I think it is best to do it today.A. whenB. whereC. how( ) 46. — Could you tell me how to get to Suzhou Railway Station, please?— _____. You can take the No. 1 bus.A. No, I couldn’tB. Don’t ask meC. CertainlyC. 补全对话。
人教版九年级英语全册Unit 10单元测试卷(含答案)
精品基础教育教学资料，仅供参考，需要可下载使用！人教版九年级英语第十单元测试卷第Ⅰ卷Ⅰ.单项选择（每小题1.5分，共30分）( )1.We go out ________ their way to send the granny to her daughter’s house.A .toB .in C. for D .of( )2.—I haven’t worked the problem out yet. What am I supposed to do?—Try again! It’s only ________ difficult.A .a lot B. a bit C. too much D .too many( )3.I don’t want to read the book. There is ________ in it.A .something interestingB .nothing interestingC. interesting something D .interesting nothing( )4.When ________ you supposed to ________ the meeting yesterday?A. were; hadB. was; hadC. were; have D .was; have( )5.Would you ________ when you are in town?A .drop offB .drop byC .fall off D. fall by( )6.He can’t carry the heavy box. He is a child ________.A. at firstB. after allC. at all D .above all( )7.Mr. White hasn’t come yet. You should ________ when he will reach here this morning.A. askB. askedC. have asked D .had asked( )8.My aunt finds ________ interesting to learn to drive a car.A. it B .this C .that D. what( )9.You ________ get her a scarf as a birthday gift.A. should be supposed to B .are suppose toC .should suppose toD .are supposed to( )10.Lucy has never been to the Great Wall before. T oday she sees it ________ the first time.A. atB. for C .in D .by( )11.If you want to read English quickly, you must learn ________ English words as you can by heart.A .as much B. as many C .so much D .so many( )12.—May we leave the classroom now?—No, you ________. You ________ to leave until the bell rings.A. mustn’t; are allowed B .needn’t; aren’t allowedC. don’t have to; are supposed D .can’t; aren’t supposed( )13.Alice is new here, but she soon ________ getting up early.A. gets used to B .be used toC .used toD .uses to( )14.Walking every day ________ good for your health.A. areB. be C .is D. will( )15.Linda walked into the room, ________ to ask what happened exactly.A .to plan B. plansC. planning D .plan( )16.His first thing in the vacation is ________.A .have a good rest B. to have a good restC. has a good restD. to has a good rest( )17.________ I see little Jim, I remember Mr. Green.A. Every timeB. Every the timeC. At every time D .For every time( )18.The result is ________ worse than we thought!A .moreB .evenC .greatD .much more( )19.I can’t help ________ once the humorous star shows up.A .laughB .to laughC .laughedD .laughing( )20.Write ________ and try not to make any mistakes.A. as careful as possible B .as carefully as you canC .as you can as carefullyD .more carefulⅡ.完形填空(每小题2分，共20分)Why do I want to go to college? No one has ever asked me __1__ a question. But many times I have asked myself. I have __2__ all kinds of reasons. The most __3__ reason is that I want to be a better man.Many things make human beings different __4__ or better than or even superior to (比……优越) animals.One of the most important things is __5__. If I fail to receive higher education, my education won’t __6__. As I want to be a fully __7__ man, I must get a wellrounded (全面的) education, which good colleges and universities are supposed to __8__. I know one can get educated in many ways, but colleges and universities are __9__ the best places to teach me how to educate myself. Only when I am welleducated, will I be a better man and be able to better fit into (适应) __10__.( )1 .A .quite B .soC .such D. another( )e up with B .agreed withC .been fed up with D. got on well with( )3.A.easy B. importantC .difficult D. much( )4.A.to B. aroundC. between D .from( )cation B .weatherC. emperature D .science( )6.A.shake B. greetC .finish D. trouble( )7.A.relaxed B. developedC. developingD. experienced( )8 .A. improve B. graduateC .hearD .provide( )9.A.between B. amongC .inside D. outside( )10.A.home B. countryC. societyD. cityⅢ. 阅读理解(每小题2分，共10分)My grandfather is eighty years old now.He always complains about how fast things have changed, and he often says that life used to be better.Families aren't families they used to be.A lot of families have broken up.If husband and wife have problems with their marriage, they no longer stay together.And mothers used to stay at home and take care of their children, but now not more.Everyone is busy working.Mothers used to spend all day cooking in the kitchen.But now the family don't eat homecooked food any more.And the cars! No one walks any more.More and more people drive.Students used to walk 5 miles to school every day, even in winter.But nowadays students don't.And in school, children don't have to think any more.In math class, for example, they used to add, subtract, multiply and divide (加减乘除) in their heads.Instead, they use calculators.And people today have TV and computers, and they don't talk to each other any more.They are too busy to talk, too busy to eat, too busy to think.Life used to be simple, but it isn't any more.( )1.What does my grandfather think of the life now?A．He thinks the life now is very good.B．He thinks the life now is worse than it used to be.C．He thinks the life now is better than it used to be.D．He thinks the life now is the same as it used to be.( )2.What does the underlined word “marriage”mean in Chinese?A．生活B．工作C．婚姻D．家庭( )3.What has happened these years according to the passage?A．Children don't have to think any more in school.B．Students use calculators in math class.C．Some children used to walk to school, but now they don't.D．All of above.( )4.What changes have happened to some families?a．People have TV.b．People like to eat homecooked food.c．Lots of families have computers.d．Lots of couples (夫妇) live apart because of unhappy problems.A．a b d B．b c dC．a b c D．a c d( )5.Which is TRUE according to the passage?A．Life now is much simpler.B．People have too much time to talk with each other now.C．The writer's grandfather only complains and pays no attention to better life now. D．Lots of mothers stay at home and look after their children.第Ⅱ卷Ⅳ. 词汇运用(每小题2分，共20分)A、根据句意及首字母提示完成单词。
七年级英语下册第十单元测试题及答案
新人教版七年级英语下册Unit 10单元测试及答案一、词汇A 写单词 101. China is a l country with long history.2. Here is the m________. What would you like to eat3. Why are you lateTell me your r__________.4. He has two bowls of r________ every day..5.—What’s your a —It’s 558 Bridge Street.6. I’m a little h . Would you please give me something to eatusually o___________ food and drink in this restaurant.is the fifth day of a week.9. There are many k of noodles in this shop.10. We have many great s______________ in the restaurant.B 用所给单词的适当形式填空;201. There __________be some _________beef and __________egg in the noodles.2. There_________be some onions and ______________mutton in the bowl.3. I would like you _____________come to my house.4. Look, they __________buy fruit and vegetables in the market.5. Would you like some juice _____________drink6. She _______have an egg, a small bowl of _________chicken noodles and two_________ potatoevery day7. I like ___________listen to the pop music and ___________watch TV.8. They would like _________see the __________animal in the zoo.you like to drink __________apple or _________orange juice10. There are some ________tomato and _______ porridge on the table.is _________ like his father.二、句型转换201. He’d like a large bowl of porridge.对划线部分提问_______ _______ bowl of porridge _______ he _________2. My father would like beef dumplings.同义句My father would like ________ ________ _________.3. Can I help you同义句________ can I ________ ________ you4. She wants to eat dumplings. 同义句She ______ ______ to eat dumplings.5. I’d like beef and tomato noodles. ______ ______ ______ noodles ______ you like6. I like green ______ you _______7. The large bowl of noodles is RMB 10. ______ _______ ______ the large bowl of noodles8. I like rice and fish. 否定句 I _____ ______ rice ______ fish.9. He wants to have beef for lunch.同义句He _______ _______ to ______ beef for lunch.10. He and I go to see the movie. 同义句He ______ to see the movie______ me.boy is writing a letter. the boy三、根据汉语提示完成句子.151.我们也有上好的沙拉,还有饮料和绿茶We _____ have ______ _____ , drinks and ______ ______2. 我想要一个中等的甜点.I’d like a _________ ________ ,please3. 我不喜欢汉堡包沙拉和汤;I don’t like _______,________ _______ _______4.你想要订购比萨饼吗欢迎到比萨饼房来._____ you ______ ________ _____ a pizza_______ to Pizza ______5．你穿几码的鞋 _______ _________ shoes _______ you _______6. 早餐你想吃什么_________ ________ you ________ ________ breakfast7. 你妹妹长得怎样______ ________ your sister _______ _____8. 她有点瘦,中等高度,金黄色的长发She _____of medium height, but _______ ________bit thin, and she _______ long and blonde hair.9.他想要哪种类型的面条________ kind of noodles _____ he like10.我想要有羊肉和西红柿的饺子;I'd like a bowl of dumplings ______mutton and________.四、单选201. Jim doesn’t like tomatoes,potatoes ___ cabbages.. A. and B. with D. for2. There ________ some food on the table. A. have B. are C. is D. hasyou like to see ______ fish ----Yes, and I also like to eat ______ fish.A. a little, manyB. a few, muchC. much, manyD. a few, many4. Do you like noodles ________ chicken A. with B. of C. in D. to5.—What size shoes do you want —________.A. Small shoesB. Size 36 size D. Big shoes6. There are ________ tomatoes on the table. A. many B. much C. a little D. any7. --Would you like _____tea with ice in it -- Yes, _____A. any, pleaseB. some, pleaseC. any, willD. some, will8. The noodles with orange juice ______ only $. A. is B. are C. for D. withdaughter likes to eat dumplings ______ noodles. She doesn’t like cooking _____ swimming.A. and; andB. and; orC. or, orD. or, and10. My family usually ______ bread,eggs and milk _____ breakfast.A. has; forB. eat; forC. have; forD. have; on11. It’s 11 o’clock. Please ________ our lunch. A. ordering B. order C. to order D. orders12.—Would you like a cup of tea —______.A. I’d loveB. Yes,pleaseC. No,I wouldn’tD. Sorry13. We have music _____ Monday and Wednesday. A. in B. on C. at D. /14. He likes English ________ it’s fun. A. when B. why C. because D. where15. They usually go ______ home ______ lunch. A. to; for B. to; at C. at; in D. /; for16. How much ________ your shoes A. is B. are C. be D. amis your address A. Where B. Which C. What D. How18. My brother ________ dumplings with beef very much,but I don’t.A. likeB. wouldn’t likeC. doesn’t likeD. would like19. I’d like ________ an action movie. A. see B. to see D. seeing D. watch20. I with Mike ____ English now. A. reads B. is reading C. read D. am reading五、从方框中选出能填入空白处的最佳选项;5A: Can I help you B: Yes,please. 1 I want to order a birthday cake for my mother.A: 2 Array B: A large cake,please.A: What would you like to write on it B: 3A: OK. What’s your phone number B: 4A: What’s your address B: 5六阅读理解10A. BIG SALE AT MURRAY’SCome to Murray’s big sale on clothes,things for your room and things for school. We have jackets for boys for thirty－five dollars,sweaters for girls for fifteen,and bags,earrings,and pants for five dollars See our great dressers,beds,and chairs. Get a new bookcase for all your school books and notepaper. At Murray’s big sale,they’re only twenty dollars And we have backpa cks, pencils,pens and notebooks—everything for school Come into Murray’s today1. Sweaters for girls are ________. A. $ B. $15.00 C.$2. Bags are ________. A. $ B. $15.00 C. $3. ________ for boys are on sale for $. A. Jackets B. Sweaters C. Belts4. Murray’s doesn’t have ________ on sale. A. dressers B. tables C. chairsare $. A. Bookcases B. Books C. PapersB根据短文内容, 判断下列句子正T、误F5分A Frenchman wants to eat eggs in a restaurant. But he doesn’t know how to say eggs in English. He thinks and thinks. Then he sees a book with a picture of a hen母鸡on the table. He asks the woman in the restaurant, “What’s the English for a hen’s child” The woman says, “ It’s a chick小鸡.” Then the Frenchman asks, “What’s a chick before they are born” “It’s an egg,” says the woman. “ That’s right. Give me four eggs, please.”Frenchman can’t speak English.2. The Frenchman wants to have some eggs.3. A hen helps the Frenchman get the eggs to eat.4. What do you think of the Frenchman I think he is smart.5. An egg is a hen’s child.Keys:rge menu reason rice address hungry orders Thursday kinds specials B is beef eggs; are mutton;to come; are buying; to drink; has chicken potatoes; listening watching; to see animals; apple orange;tomatoes porridge; likeII. 1. What size would like 2. dumplings with beef 3. What do for 4. would like 5. What kind of would6. What do like7. How much is8. don’t like or9. would like have 10. goes with 11. What is doing III. 1. also great salad green tea 2. medium dessert 3. hamburgers salad or soup 4. Would like to order Welcome House 5. What size do wear 6. What would you like for 7. What does look like 8. is a little has 9. What would 10. with tomatoesIV.1—5 CCBAB 6—10 ABBBC 11—15 BBBCD 16—20 BCABDV.CABDFBCABA FTFT。
人教版九年级英语 Unit 10单元测试题附答案
Unit10You’re supposed to shake hands.单元测试03一、听力测试（15分）（一）听句子，选择你听到的单词。
（5分）1.A.stop B keep C.drop2.A.effort B.offer C.fork3.A.math B worth C.mouth4.A.empty B.exchange C.eastern5.A.except B.excuse C.exchange（二）听句子，选择与你所听到的句子相符的图片。
（5分）A. B. C. D. E.6.________7.________8.________9.________10.________（三）听对话及问题，选择正确的答案。
（5分）11.A.He is going to England to study.B.He is going to America to study.C.He is going to Switzerland to study.12.A.For a week. B.For a month.C For a year.13.A.Yes,it isn’t.B No,it isn’t. C.Yes,it is.14.A.Because he is ill.B.Because he doesn’t know what he should do or not do.C.Because he missed his parent.15.A.No,it isn’t. B.No,it is. C.Yes,it is.二、单项填空（15分）16.—It’s hot today,isn’t it?—Yes.it is.Why not________your jacket?A.take careB.take placeC.take afterD.take off17.Henry will give us a report as soon as he________.A.arrivesB.arrivedC.is arrivingD.will arrive18.—Can you speak English,Mr.Wang?—Yes,but only________.A.littleB.a littleC.a lotD.lots of19.—Do you think Brail will beat Japan in the next match?—Yes,they have better players,so I________them to win.A.hopeB.exceptC.expectD.prefer20.At times an ad can lead you to buy something you don’t need at all.So you have to be careful.Which has the same meaning?A.SometimeB.SometimesC.SometimeD.Some times21.—I will go to Harbin for my summer vacation.What about you?—I haven’t decided where________.A.goB.wentC.goingD.togo.22.He used to________in a small village,but now he has been used to________ina big city.A.live;livingB.live;liveC.living;livingD.living;live23.As we all know,it’s not polite to keep others________for a long time.A.waitB.waitedC.to waitD.waiting24.—Why are you s0excited?—Peter invited me________on a trip to Yuntai Mountain.A.to goB.goC.goingD.went25.—Have you seen the TV play My Ugly Mother?—Yes,it’swell worth________.It’s________moving that I’ve seen it twice.A.seeing;tooB.seeing;soC.to see;enoughD.to see;too三、完形填空（15分）Around the world,people have different ideas about what good manners are.When you go to restaurants in different partsof the world,it’s26to know the right and wrong things to do.For example,in China it’s OK to27a lot of noises in a restaurant.In fact,if a restaurant isn’t noisy and 28,you may think there is something wrong with it.However,in many western countries,restaurants are29 places.If a table is too loud,other people who are eating there might even30to the owner of the restaurant.Paying the bill is also different from country to country.In China,one person usually pays for31.In westerncountries,one person pays if he or she is entertaining clients（宴请宾客）,but32friends eat together,they usually share the cost.This is called doing Dutch（均摊费用）.Also,when westerners pay the bill they usually leave some moneyfor the33.This is called“Leaving a tip”.Leaving a tip is thought to be polite.In the U.S,it’s34 to leave tips of10%,15%,or20%of the bill,which is decided by how good the service is.Good waiters can make a lot of money!The food people eat is different in the world,but youcan35the same kind of food in many countries.Chinese and Italian food,for example,are popular all over the world.26.A.popular B.difficult C.nice D.easy27.A.cause B.keep C.hear D.make28.A.lively B.friendly C.lucky D.happy29.A.noisy B.quiet C.busy D.clean30.A.shout. B.explain plain D.speak31.A.everybody B.nobody C.somebody D.none32.A.until B.when C.unless D.since33.A.gate keeper B.seller C.waiter D.visitor34.A.terrible mon C.serious ually35.A.invent B.discover C.prefer D.find四、阅读理解（20分）ATable manners are how to behave when youeat a meal.Theyinclude how to handle knives,forks and spoons and how to eat in n polite manner.To behave well abroad,you are to know some table manners.EATING MANNERSJapan:It is“perfectly”okay to slurp（出声地吃）when you eat noodles.Unlike making big noises,slurping slightly is not rude.Japanese also say it tastes better if you slurp.Russia:Your wrists should be placed on the edge of the table while eating,fork in left hand,and knife in the right.It is not good manners to rest them on your lap.Keep your elbows off the table.Leave some food on your plate to show that the host has given you enough to eat.France:Never discuss money or religion over dinner.What is different from the manners in Russia is that finishing everything on your plate is considered good manners.Mexico:Wheneveryou catch the eye of someone who’s eating,even a stranger,it’s goodmanners tosay“provecho”,which means enjoy.In Mexico,dining is more than a meal.It’s a social occasion—lunches are seldom quick and suppers can last for hours.Where you sit matters in the country.Before you get seated,look for place cards,or wait until the host seats you.And you must say“enjoy your meal”before you leave the table.DRINKING MANNERSAmerica:If you empty a bottle into someone’s glass,it obliges that person to buy the next bottle.It’s polite to put the last drops into your own glass.Australia:Ina pub it’s usual to buy a round of drinks for everyone in your group.When it’s your turn,say“I’s my round”.When it’s their round,they will buy it for you,Don’t leave before you’ve bought a round.Japan:Don’t fill your own glass of alcohol.Instead,you should pour for others and wait for them to do it for you.36.When you are at table in Mexico,you should________.A.keep silent if you catch the eye of n strangerB.eat as quickly a8you can to save your timeC.wish others happy with eating before leavingthe tableD.seat yourself anywhere before the host tell you to37.When you are drinking in America,you should________.A.put the last drops into your own glassB.put the last drops into other’s glassC.pour for others and wait for them to do it for youD.leave before you’ve bought a round38.According to the pasage.it is good manners to________.A.keep quiet when eating noodles in JapanB.leave some food on your plate in FranceC.put the fork in the right hand in RussiaD.take turns to treat each other in Australia39.Which of the following can be the best title of the passage?A.Eating mannersB.Drinking mannersC.Table mannersD.Country manners40.The writer tells us the table manners in many countries in order to________.A.attract us to these countries to enjoy foreign foodB.help us behave in a polite manner in different countriesC.teach us how to handle knives,forks and spoonsD.make us able to express thanks to different hosts.BFor the British,the home is a private place in which he or she goes to hide away from the troubles of life.It is very seldom that one would be invited to a British person’s home.It is rude to knock on a person’s door if you arenot invited.If you are invited,don’t ask to see more than the downstairs that your British host invites you into.Never askhow much the house or any of the items in it cost.To the American,most of them want their home to be a place where they can entertain（款待）and share their lives with their friends.They may be delighted to give you a full tour of their houses.They may also be pleased when you show your interest and pleasure in their houses.Both British and American people will engagein quite a bit of chat and a drink or two before the meal is served.After the first mouthful,you shouldsay how delicious thefood is and ask something about it.Remember, never eat with your mouth open and make very little noise while eating.It would be nice of you to help your host in anyway.Maybe offer to pour some drinks or clear up after the meal.41.British people________invite friends to their home.A.oftenB.alwaysC.seldomD.never42.If your British friend invites you to his home,you can________.A.see anything you likeB.ask how much his house isC.ask the cost of any of the items in itD.only see the downstairs that you are invited into43.When you show your interest and pleasure in American people’s houses,they may be________.A.angryB.happyC.sadD.worried44.What does the underlined“engage in”mean in Chinese?A.陷入B.参与C.回避D.限制45.What’s the main idea of the passage?A.Some manners on visiting British and American people’s homes.B.Different table manners between British and American people.C.Different ideas about the home between British and American people.D.Different ideas about how to get along well with neighbors between British and American people.五、补全对话（5分）根据对话内容，从方框中选择适当的句子填入空白处，使对话完整。
2023年外研版(三起)英语四年级下册Module10单元测试题含答案
外研版英语（三起）四年级下册Module 10单元测试卷听力部分一、听录音，选择你听到的单词。
（10分）（）1. A. then B. were C. fell（）2. A. head B. watermelon C. happen（）3. A. ride B. cold C. fever（）4. A. bought B. Mum C. hungry（）5. A. carried B. chocolate C. watch二、.听录音，根据你所听到的内容连线。
（10分）（）1. Lili A. had two watermelons.（）2. Peter B. had lots of apples yesterday.（）3. Ling ling C. had a stomachache.（）4. Amy D. fell off her bike.（）5. Linda E. had a fever.三、听录音，选出录音中提到的一项。
（10分）（）1. A.举行野餐 B.做游戏 C.又累又饿（）2. A.买巧克力 B.买西瓜 C.买水（）3. A.从自行车上摔下 B.从椅子上摔下 C.从桌子上摔下（）4. A.去看病 B.头痛 C.碰伤了头（）5. A.起床 B.骑自行车 C.放风筝1笔试部分四、按要求写单词。
（10分）1. carry（过去式）_________2. have（过去式）_________3. find（过去式）__________4. eat（过去式）___________5. fall（过去式）__________6. happen（过去式）________7. bumped（原形）_________8. game（复数）__________9. ever（加一个字母成新词）_________ 10. feel（过去式）_________五、单项选择。
（10分）（）1. He _________ a watermelon yesterday.A. buyB. boughtC. buying（）2. He _________ off his bike yesterday.A. fellB. fallC. falling（）3. What _________ to you yesterday?A. happenB. happeningC. happened（）4. You were so hungry and you _________ a cold.A. haveB. hadC. were（）5. She _________ thirsty, she _________ hungry and she had a fever.A. is, isB. had, hadC. was, was（）6. In London it will ________ rainy tomorrow.A. isB. beC. are（）7. They will have a picnic ________ Sunday.A. onB. inC. under（）8. What happened ________ your head?A. atB. withC. to（）9. Sam ________ off his bike yesterday.A. fallB. fellC. falled（）10. Linda was ________ so（所以）she bought some cakes.A. hungryB. thirstyC. clever六、用所给动词的适当形式填空。
人教版七年级下册英语Unit 10 单元测试卷(附答案)
Unit 10 综合测试姓名________ 班级________ 得分________一、单项选择(每小题1分，共15分)从A、B、C、D四个选项中，选出可以填入空白处的最佳选项。
1. — What do you need for the dish, Mom?— ________ onion, _________ potato and some water.A. A; aB. An; aC. A; aD. An; an2. I would like a bowl of noodles ______ beef and tomatoes.A. inB. ofC. withD. to3. ________ you like this job, you can tell me.A. BecauseB. SoC. IfD. And4. — Are there _______ eggs on the table?— No. There are ________ apples on it.A. any; someB. any; anyC. some; someD. some; any5. —What’s your favorite _____, Nancy?— Fish!A. fruitB. vegetablesC. meatD. mutton6. — When will you come back from New York?—Maybe next Friday. I’m not sure ___________.A. yetB. onlyC. tooD. either7. I call him three times, but there is no ____________.A. worldB. ageC. orderD. answer8. — I want to make some dumplings for you. Could you help me ________ the mutton? — OK.A. cut downB. make a wishC. cut upD. blow out9. — What _____________ the number of the students in your school?— About nine hundred and fifty. A number of them _____ from Beijing.A. is; isB. are; areC. is; areD. are; is10. — _________ of noodles do you want?— Large, please.A. What kindB. What sizeC. What colorD. How big11. — Would you like _____ to the movies with me?— Sure.A. goB. to goC. goingD. to going12. — What kind of noodles do these _____ teachers like?— ___________ noodles.A. women; EggsB. woman; EggC. women; EggD. woman; Eggs13. Beijing is _______ with visitors around the world.A. differentB. strictC. specialD. popular14. If you come here tomorrow, I ________ you know all about it.A. letB. to letC. letsD. will let15. — Would you like some pancakes, Miss Smith?— ____________.A. Yes, they areB. No, I wouldn’tC. Yes, pleaseD. I’d like it二、完形填空(每小题1分，共10分)阅读下面短文，从A、B、C、D四个选项中，选出最佳选项。
九年级全一册英语unit 10 单元测试卷
九年级全一册英语unit 10单元测试卷一.根据句意及首字母或汉语提示完成句中单词。
1.As the c of China, Beijing is a modern city with a long history.2. I always feel a bit n before an English test.3.Before you go abroad, you should get a p first.4.The room is e . There is nothing in it.5. Chinese traditional medicine is of great (价值)when people fight against COVID-19.6.Doing sports can make you (放松的）.7. Which is your favorite (季节) in a year---spring, summer, autumn or winter?8. The restaurant is open every day （除.....之外) Sunday.9. The job requires a lot of hard work but it's w (值得的) it.二.用所给单词的适当形式填空。
1.Listening to music can make me feel (relax).2.He is such a stubborn boy that he would rather (punish) than say sorry3.I will think about your (suggest), and give you an answer tomorrow.4. Hei Longjiang is in the (north) part of China.5.He (invite) to act the part of a judge.6. The little girl started (cry) when her mother left.7. Last Sunday, Jim's mother made him (study) at home all day.8. You may find the famous building in the (east)part of our city.三.阅读理解。
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第十章 单元测试一、选择题(本大题共10小题，每小题5分，共50分．每小题中只有一项符合题目要求)1．将编号为1,2,3,4,5的五个球放入编号为1,2,3,4,5的五个盒子，每个盒内放一个球，若恰好有三个球的编号与盒子编号相同，则不同的投放方法的种数为( )A ．6B ．10C ．20D ．30答案 B解析 从编号为1,2,3,4,5的五个球中选出三个与盒子编号相同的球的投放方法有C 35＝10种；另两个球的投放方法有1种，所以共有10种不同的投放方法．选择B.2．(1＋x )10(1＋1x )10展开式中的常数项为 ( )A ．1B ．(C 110)2C ．C 120D ．C 1020答案 D解析 因为(1＋x )10(1＋1x )10＝[(1＋x )(1＋1x )]10＝(2＋x ＋1x )10＝(x ＋1x )20(x >0)，所以T r ＋1＝C r 20(x )20－r (1x )r ＝C r 20x 10－r ，由10－r ＝0，得r ＝10，故常数项为T 11＝C 1020，选D.3.如图，三行三列的方阵中有9个数a ij (i ＝1,2,3；j ＝1,2,3)，从中任取三个数，则至少有两个数位于同行或同列的概率是( )A.37B.47C.1314D.114答案 C解析 所取三数既不同行也不同列的概率为6C 39＝114，所求概率为1－114＝1314.4．设随机变量ξ服从正态分布N (3,4)，若P (ξ<2a －3)＝P (ξ>a ＋2)，则a 的值为( )A.73B.53 C ．5 D ．3答案 A解析 由已知2a －3，与a ＋2关于3对称，故(2a －3)＋(a ＋2)＝6，解得a ＝73.5．在区间[0，π]上随机取一个数x ，则事件“sin x ＋3cos x ≤1”发生的概率为( )A.14B.13C.12D.23答案 C解析 由题意知，此概率符合几何概型所有基本事件包含的区域长度为π，设A 表示取出的x 满足sin x ＋3cos x ≤1这样的事件，对条件变形为sin(x ＋π3)≤12，即事件A 包含的区域长度为π2.∴P (A )＝π2π＝12.6．一个坛子里有编号1,2，…，12的12个大小相同的球，其中1到6号球是红球，其余的是黑球，若从中任取两个球，则取到的都是红球，且至少有1个球的号码是偶数的概率为( )A.122B.111C.322D.211答案 D解析 分类：一类是两球号均为偶数且红球，有C 23种取法；另一类是两球号码是一奇一偶有C 13C 13种取法，因此所求的概率为C 23＋C 13C 13C 212＝211.7．已知实数x ∈[0,8]，执行如下图所示的程序框图，则输出的x 不小于55的概率为( )A.14B.12C.34D.45答案 A解析 程序框图经过3次运行后，得到 2[2(2x ＋1)＋1]＋1，即2[2(2x ＋1)＋1]＋1≥55. 所以x ≥6，所以P ＝8－68＝14.8．体育课的排球发球项目考试的规则是每位学生最多可发球3次，一旦发球成功，则停止发球，否则一直发到3次为止．设学生一次发球成功的概率为p (p ≠0)，发球次数为X ，若X 的数学期望E (X )>1.75，则p 的取值范围是A ．(0，712) B ．(712，1) C ．(0，12) D ．(12，1)答案 C解析 发球次数X 的分布列如下表，所以期望E (X )＝p ＋2(1－p )p ＋3(1－p )2>1.75， 解得p >52(舍去)或p <12，又p >0，故选C.9．连掷两次骰子分别得到点数m 、n ，向量a ＝(m ，n )，b ＝(－1,1)若在△ABC 中， A B →与a 同向， C B →与b 反向，则∠ABC 是钝角的概率是( )A.512B.712C.39D.49答案 A解析 要使∠ABC 是钝角，必须满足A B →·C B →＜0，即a ·b ＝n －m ＞0，连掷两次骰子所得点数m 、n 共有36种情形，其中15种满足条件，故所求概率是512.10．某计算机程序每运行一次都随机出现一个五位的二进制数其中A 的各位数中，a 1＝1，a k (k ＝2,3,4,5)出现0的概率为13，出现1的概率为23.记ξ＝a 1＋a 2＋a 3＋a 4＋a 5，当程序运行一次时，ξ的数学期望E (ξ)＝( )A.827B.1681 C.113 D.6581答案 C解析 ξ＝1时，P 1＝C 04(13)4(23)0＝134， ξ＝2时，P 2＝C 14(13)3·23＝834， ξ＝3时，P 3＝C 24·(13)2·(23)2＝2434， ξ＝4时，P 4＝C 34(13)·(23)3＝3234，ξ＝5时，P 5＝C 44(23)4＝1634，E (ξ)＝1×134＋2×834＋3×2434＋4×3234＋5×1634＝113.二、填空题(本大题共6小题，每小题5分，共30分，把答案填在题中横线上)11．将一个骰子连续抛掷三次，它落地时向上的点数依次．．成等差数列的概率为________．答案 112解析 将一个骰子连抛三次，共有n ＝63种不同情形．其中，落地时向上的点数依次成等差数列的有：①公差d ＝±1的有4×2＝8(种)；②公差为±2的有2×2＝4(种)；③公差d ＝0的有6种，共有m ＝8＋4＋6＝18(种)，故所求概率为P ＝m n ＝1863＝112.12.用茎叶图记录甲、乙两人在5次体能综合测评中的成绩(成绩为两位整数)，现乙还有一次不小于90分的成绩未记录，则甲的平均成绩超过乙的平均成绩的概率为________．答案 45解析 由题意，得基本事件总数为10，满足要求的有8个，所以所求概率为810＝45.13．(2012·广东)(x 2＋1x )6的展开式中x 3的系数为______．(用数字作答) 答案 20解析 由(x 2＋1x )6的展开式的通项为T r ＋1＝C r 6(x 2)6－r (1x )r ＝C r 6x12－3r .令12－3r ＝3，得r ＝3，所以展开式中x 3的系数为C 36＝6×5×41×2×3＝20.14．(2012·上海)三位同学参加跳高、跳远、铅球项目的比赛．若每人都选择其中两个项目，则有且仅有两人选择项目完全相同的概率是________(结果用最简分数表示)．答案2 3解析根据条件求出基本事件的个数，再利用古典概型的概率计算公式求解．因为每人都从三个项目中选择两个，有(C23)3种选法，其中“有且仅有两人选择的项目完全相同”的基本事件有C23C13C12个，故所求概率为C23C13C12 (C23)3＝23.15．袋中有3个黑球，1个红球．从中任取2个，取到一个黑球得0分，取到一个红球得2分，则所得分数ξ的数学期望E(ξ)＝________.答案 1解析由题得ξ所取得的值为0或2，其中ξ＝0表示取得的球为两个黑球，ξ＝2表示取得的球为一黑一红，所以P(ξ＝0)＝C23C24＝12，P(ξ＝2)＝C13C24＝12，故E(ξ)＝0×12＋2×12＝1.16．为落实素质教育，衡水重点中学拟从4个重点研究性课题和6个一般研究性课题中各选2个课题作为本年度该校启动的课题项目，若重点课题A和一般课题B至少有一个被选中的不同选法种数是k，则二项式(1＋kx2)6的展开式中，x4的系数为________．答案54 000解析用直接法：k＝C13C15＋C13C25＋C23C15＝15＋30＋15＝60，x4的系数为C26 k2＝15×3 600＝54 000.三、解答题(本大题共6小题，共70分，解答应写出文字说明、证明过程或演算步骤)17．(本小题满分10分)为备战2013年天津东亚运动会，射击队努力拼博，科学备战．现对一位射击选手100发子弹的射击结果统计如下：(1)该选手一次射击命中8环以上(含8环)的概率；(2)该选手射击2发子弹取得19环以上(含19环)成绩的概率． 解析 以该选手射击的频率近似估算概率． (1)射击一次击中8环以上的概率约为 P ＝20＋35＋25100＝0.8.(2)记一次射击命中10环为事件p 1，则p 1＝0.2， 一次射击命中9环为事件p 2，则p 2＝0.35，于是两次射击均命中10环的概率约为P (A )＝(p 1)2＝0.04. 两次射击一次命中10环，一次命中9环的概率约为P (B )＝C 12p 1p 2＝0.14，即该选手射击2发子弹取得19环以上(含19环)成绩的概率约为0.18. 18．(本小题满分12分)甲、乙两人各进行3次射击，甲每次击中目标的概率为12，乙每次击中目标的概率为23.(1)记甲击中目标的次数为ξ，求ξ的概率分布及数学期望E (ξ)； (2)求乙至多击中目标2次的概率； (3)求甲恰好比乙多击中目标2次的概率．解析 (1)P (ξ＝0)＝C 03(12)3＝18；P (ξ＝1)＝C 13(12)3＝38；P (ξ＝2)＝C 23(12)3＝38；P (ξ＝3)＝C 33(12)3＝18. ξ的概率分布如下表E (ξ)＝0×18＋1×38＋2×38＋3×18＝1.5.(2)乙至多击中目标2次的概率为1－C 33(23)3＝1927.(3)设“甲恰比乙多击中目标2次”为事件A ，“甲恰击中目标2次且乙恰击中目标0次”为事件B 1，“甲恰击中目标3次且乙恰击中目标1次”为事件B 2，则A ＝B 1＋B 2，B 1，B 2为互斥事件．P (A )＝P (B 1)＋P (B 2)＝38×127＋18×29＝124. 所以，甲恰好比乙多击中目标2次的概率为124.19．(本小题满分12分)某位收藏爱好者鉴定一件物品时，将正品错误地鉴定为赝品的概率为13，将赝品错误地鉴定为正品的概率为12.已知一批物品共有4件，其中正品3件、赝品1件．(1)求该收藏爱好者的鉴定结果为正品2件、赝品2件的概率； (2)求该收藏爱好者的鉴定结果中正品数X 的分布列及数学期望．解析 (1)有两种可能使得该收藏爱好者的鉴定结果为正品2件、赝品2件：其一是错误地把一件正品鉴定为赝品，其他鉴定正确；其二是错误地把两件正品鉴定为赝品，把一件赝品鉴定为正品，其他鉴定正确．则所求的概率为C 13×13×(23)2×12＋C 23×(13)2×23×12＝13. (2)由题意知X 的所有可能取值为0,1,2,3,4. P (X ＝0)＝(13)3×12＝154；P (X ＝1)＝C 23×(13)2×23×12＋(13)3×12＝754； P (X ＝2)＝13；P (X ＝3)＝(23)3×12＋C 13×(23)2×13×12＝1027； P (X ＝4)＝(23)3×12＝427. 故X 的分布列为所以X 的数学期望E (X )＝0×154＋1×754＋2×13＋3×1027＋4×427＝52. 20．(本小题满分12分)已知A 1，A 2，A 3，…，A 6共6所高校举行自主招生考试，某同学参加这6所高校的考试获得通过的概率均为12.(1)若这6所高校的考试该同学都参加，试求该同学恰好通过2所高校自主招生考试的概率；(2)假设该同学参加每所高校考试所需的报名费用均为200元，该同学决定按A 1，A 2，A 3，…，A 6的顺序参加考试，一旦通过某所高校的考试，就不再参加其他高校的考试，试求该同学参加考试所需报名费用ξ的分布列及数学期望．解析 (1)因为该同学通过各校考试的概率均为12，所以该同学恰好通过2所高校自主招生考试的概率为P ＝C 26(12)2(1－12)4＝1564.(2)设该同学共参加了i 次考试的概率为P i (1≤i ≤6，i ∈Z )，则P i ＝⎩⎪⎨⎪⎧12i ，1≤i ≤5，i ∈Z ，125，i ＝6，所以该同学参加考试所需报名费用ξ的分布列为E (ξ)＝(12×1＋122×2＋123×3＋124×4＋125×5＋125×6)×200＝6425×200＝1 5754. 21．(本小题满分12分)李先生家在H 小区，他在C 科技园区工作，从家开车到公司上班有L 1，L 2两条路线(如图)，路线L 1上有A 1，A 2，A 3三个路口，各路口遇到红灯的概率均为12；路线L 2上有B 1，B 2两个路口，各路口遇到红灯的概率依次为34，35.(1)若走路线L 1，求最多遇到1次红灯的概率； (2)若走路线L 2，求遇到红灯次数X 的数学期望；(3)按照“平均遇到红灯的次数最少”的要求，请你帮助李先生分析上述两条路线中，选择哪条路线上班更好些，并说明理由．解析 (1)设“走路线L 1最多遇到1次红灯”为事件A ，则P (A )＝C 03×(12)3＋C 13×12×(12)2＝12.所以走路线L 1最多遇到1次红灯的概率为12. (2)依题意，X 的可能取值为0,1,2. P (X ＝0)＝(1－34)×(1－35)＝110， P (X ＝1)＝34×(1－35)＋(1－34)×35＝920， P (X ＝2)＝34×35＝920. 随机变量X 的分布列为所以E (X )＝110×0＋920×1＋920×2＝2720.(3)设选择路线L 1遇到红灯的次数为Y ，随机变量Y 服从二项分布，即Y ～B (3，12)，所以E (Y )＝3×12＝32.因为E (X )<E (Y )，所以选择路线L 2上班更好．22．(本小题满分12分)(2012·湖南)某超市为了解顾客的购物量及结算时间等信息，安排一名员工随机收集了在该超市购物的100名顾客的相关数据，如下表所示.已知这100位顾客中一次购物量超过8件的顾客占55%.(1)确定x，y的值，并求顾客一次购物的结算时间X的分布列与数学期望；(2)若某顾客到达收银台时前面恰有2位顾客需结算，且各顾客的结算相互独立，求该顾客结算前的等候时间不超过2.5分钟的概率．(注：将频率视为概率)解析(1)由已知得25＋y＋10＝55，x＋30＝45，所以x＝15，y＝20.该超市所有顾客一次购物的结算时间组成一个总体，所收集的100位顾客一次购物的结算时间可视为总体的一个容量为100的简单随机样本．将频率视为概率得P(X＝1)＝15100＝320，P(X＝1.5)＝30100＝310，P(X＝2)＝25100＝14，P(X＝2.5)＝20100＝15，P(X＝3)＝10100＝110.X的分布列为X的数学期望为E(X)＝1×320＋1.5×310＋2×14＋2.5×15＋3×110＝1.9.(2)记A为事件“该顾客结算前的等候时间不超过2.5分钟”，X i(i＝1,2)为该顾客前面第i位顾客的结算时间，则P(A)＝P(X1＝1且X2＝1)＋P(X1＝1且X2＝1.5)＋P(X1＝1.5且X2＝1)．由于各顾客的结算相互独立，且X1，X2的分布列都与X的分布列相同，所以P(A)＝P(X1＝1)×P(X2＝1)＋P(X1＝1)×P(X2＝1.5)＋P(X1＝1.5)×P(X2＝1)＝320×320＋320×310＋310×320＝980.故该顾客结算前的等候时间不超过两分半钟的概率为9 80.1．(2012·唐山一中)4张卡片上分别写有数字1,2,3,4，从这4张卡片中随机抽取2张，则取出的2张卡片上的数字之和为奇数的概率为()A.13 B.12C.23 D.34答案 C解析从4张卡片中随机抽取2张，则取出的2张卡片上的数字之和为奇数的概率为4C24＝2 3.2．甲、乙、丙3人进行擂台赛，每局2人进行单打比赛，另1人当裁判，每一局的输方当下一局的裁判，由原来裁判向胜者挑战，比赛结束后，经统计，甲共打了5局，乙共打了6局，而丙共当了2局裁判，那么整个比赛共进行了() A．9局B．11局C．13局D．18局答案 A解析由题意甲与乙之间进行了两次比赛，剩余赛事为甲与丙或乙与丙进行，因此比赛场数为5＋6－2＝9.3.某人设计一项单人游戏，规则如下：先将一棋子放在如图所示正方形ABCD(边长为3个单位)的顶点A处，然后通过掷骰子来确定棋子沿正方形的边按逆时针方向行走的单位，若掷出的点数为i(i＝1,2，…，6)，则棋子就按逆时针方向行走i个单位，一直循环下去．则某人抛掷三次骰子后棋子恰好又回到点A处的所有不同走法共有() A．22种B．24种C．25种D．36种答案 C解析抛掷三次骰子后棋子恰好又回到点A处是指三次投掷骰子之和为12，第一颗骰子点数为1时，有2种方法；第一颗骰子点数为2时，有3种方法；第一颗骰子点数为3时，有4种方法；第一颗骰子点数为4时，有5种方法；第一颗骰子点数5时，有6种方法；第一颗骰子点数为6时，有5种方法，共有2＋3＋4＋5＋6＋5＝25(种)方法．4．(2013·河南商丘二模)同时随机掷两颗骰子，则至少有一颗骰子向上的点数小于4的概率为()A.19 B.89C.14 D.34答案 D解析共有36种情况，其中至少有一颗骰子向上的点数小于4有27种情况，所以所求概率为2736＝34.5．在三次独立重复试验中，事件A在每次试验中发生的概率相同，若事件A至少发生一次的概率为6364，则事件A恰好发生一次的概率为()A.14 B.34C.964 D.2764答案 C解析设事件A在每次试验中发生的概率为x，由题意有1－(1－x)3＝63 64，得x＝34，则事件A恰好发生一次的概率为C13×34×(1－34)2＝964.6．投掷一枚均匀硬币和一枚均匀骰子各一次，记“硬币正面向上”为事件A，“骰子向上的点数是3”为事件B，则事件A，B中至少有一个发生的概率是()A.512 B.12C.712 D.34答案 C解析依题意，得P(A)＝12，P(B)＝16，事件A，B中至少有一个发生的概率为1－P(A·B)＝1－P(A)·P(B)＝1－12×56＝712，故选C.7．已知(1＋x)＋(1＋x)2＋…＋(1＋x)n＝a0＋a1x＋a2x2＋…＋a n x n，且a1＋a2＋…＋a n－1＝29－n，则n＝________.答案 4解析令x＝0，则有a0＝n，令x＝1，则a0＋a1＋a2＋…＋a n－1＋a n＝2n＋1－2.又∵C n n·10·x n＝a n x n，∴a n＝1.∴29－n＝2n＋1－2－1－n，则n＝4.8．某射击比赛，开始时在距目标100米处射击，如果命中记3分，且停止射击；若第一次射击未命中，可以进行第二次射击，但目标已在150米处，这时命中记2分，且停止射击；若第二次仍未命中还可以进行第三次射击，但此时目标已在200米处，若第三次命中则记1分，并停止射击；第三次都未命中，则记0分．已知射手在100米处命中目标的概率为12，他的命中率与目标距离的平方成反比，且各次射击都是独立的．(1)求这名射手在射击比赛中命中目标的概率；(2)求这名射手在比赛中得分的数学期望．解析记“第一、二、三次射击命中目标”分别为事件A，B，C，“三次都未命中目标”为事件D.依题意知P(A)＝12，设在x米处命中目标的概率为P(x)，则P(x)＝k x2.因为当x＝100时，P(A)＝1 2，所以12＝k1002，解得k＝5 000，所以P(x)＝5 000x2.则P (B )＝5 0001502＝29，P (C )＝5 0002002＝18，P (D )＝P (A )·P (B )·P (C )＝12×79×78＝49144.(1)记“该射手在射击比赛中命中目标”为事件E ，易知事件E 的对立事件为事件D ，则P (E )＝1－P (D )＝1－49144＝95144.故这名射手在射击比赛中命中目标的概率为95144.(2)设射手得分为ξ，则ξ的可能取值为0、1、2、3.则P (ξ＝3)＝12，P (ξ＝2)＝12×29＝19，P (ξ＝1)＝12×79×18＝7144，P (ξ＝0)＝12×79×78＝49144.ξ的分布列为所以E (ξ)＝3×12＋2×19＋1×7144＋0×49144＝8548.9．“剪刀、石头、布”游戏的规则是：出拳之前双方齐喊口令，然后在话音刚落时同时出拳．握紧的拳头代表“石头”，食指和中指伸出代表“剪刀”，五指伸开代表“布”．“石头”胜“剪刀”，“剪刀”胜“布”，而“布”又胜过“石头”，若所出的拳相同，则为和局．现甲乙二人通过“剪刀、石头、布”游戏进行比赛．(1)设甲乙二人每局都随机出“剪刀”、“石头”、“布”中的某一个，求甲胜乙的概率；(2)据专家分析，乙有以下的出拳习惯：①第一局不出“剪刀”；②连续两局的出拳方法一定不一样，即如果本局出“剪刀”，那么下局将不再出“剪刀”，而是选择“石头”“布”中的某一种．假设专家的分析是正确的，甲根据专家的分析出拳，保证每一局都不输给乙．在最多5局的比赛中，谁胜的局数多，谁获胜．游戏结果的条件为：一方胜3局或赛满5局，用ξ表示游戏结束时的游戏局数，求ξ的分布列和期望．解析 (1)甲有C 13种出拳方法，乙也有C 13种出拳方法，所以总共有C 13·C 13＝9种方法．甲胜乙的情况有：甲出“剪刀”乙出“布”，甲出“石头”乙出“剪刀”，甲出“布”乙出“石头”，共3种，所以甲胜乙的概率为39＝13.(2)第一局乙不出“剪刀”，则乙只能出“石头”或“布”，此时甲应该出“布”，才能保证不输给乙，则甲获胜的概率为12；不妨设乙第一局出的是“石头”，则乙第二局只能出“剪刀”或“布”，此时甲应该出“剪刀”，才能保证不输给乙，则甲获胜的概率为12；同理，第三、四、五局甲获胜的概率也为12.∵ξ的可能取值为3,4,5，∴P(ξ＝3)＝(12)3＝18，P(ξ＝4)＝C23(12)212·12＝316，P(ξ＝5)＝1－18－316＝1116.∴ξ的分布列为∴期望E(ξ)＝3×18＋4×316＋5×1116＝7316.10．某单位实行休年假制度三年以来，50名职工休年假的次数进行的调查统计结果如下表所示：(1)从该单位任选两名职工，用η表示这两人休年假次数之和，记“函数f(x)＝x2－ηx－1在区间(4,6)上有且只有一个零点”为事件A，求事件A发生的概率P；(2)从该单位任选两名职工，用ξ表示这两人休年假次数之差的绝对值，求随机变量ξ的分布列及数学期望E(ξ)．解析(1)函数f(x)＝x2－ηx－1过(0，－1)点，在区间(4,6)上有且只有一个零点，则必有⎩⎨⎧ f (4)<0，f (6)>0，即⎩⎨⎧16－4η－1<0，36－6η－1>0， 解得154<η<356，所以，η＝4或η＝5.当η＝4时，P 1＝C 220＋C 110C 115C 250＝68245，当η＝5时，P 2＝C 120C 115C 250＝1249，η＝4与η＝5为互斥事件，所以有一个发生的概率公式 P ＝P 1＋P 2＝68245＋1249＝128245.(2)从该单位任选两名职工，用ξ表示这两人休年假次数之差的绝对值，则ξ的可能取值分别是0,1,2,3.于是P (ξ＝0)＝C 25＋C 210＋C 220＋C 215C 250＝27， P (ξ＝1)＝C 15C 110＋C 110C 120＋C 115C 120C 250＝2249， P (ξ＝2)＝C 15C 120＋C 110C 115C 250＝1049， P (ξ＝3)＝C 15C 115C 250＝349.从而ξ的分布列为ξ的数学期望E (ξ)＝0×27＋1×2249＋2×1049＋3×349＝5149.11．在上海世博会期间中国馆和美国馆异常火爆，10月1日中国馆内有2个广东旅游团和2个湖南旅游团，美国馆内有2个广东旅游团和3个湖南旅游团．现从中国馆中的4个旅游团选出其中一个旅游团，与从美国馆中的5个旅游团中选出的其中一个旅游团进行互换．(1)求互换后中国馆恰有2个广东旅游团的概率； (2)求互换后中国馆内广东旅游团数的期望．解析 (1)记A ＝{互换后中国馆恰有2个广东旅游团}，①互换的都是广东旅游团，则此时中国馆恰有2个广东旅游团为事件A1的概率为P(A1)＝C12C12C14C15＝15.②互换的都是湖南旅游团，则此时中国馆恰有2个广东旅游团事件A2的概率为P(A2)＝C12C13C14C15＝310.又A＝A1∪A2，且A1，A2互斥事件，则P(A)＝P(A1)＋P(A2)＝15＋310＝12.∴互换后中国馆恰有2个广东旅游团的概率为1 2.(2)设互换后中国馆内广东旅游团数为ξ，则ξ的取值为1,2,3.P(ξ＝1)＝C12C13C14C15＝310，P(ξ＝2)＝12，P(ξ＝3)＝C12C12C14C15＝15，∴ξ的分布列为∴E(ξ)＝310×1＋12×2＋15×3＝1910.∴互换后中国馆内广东旅游团的期望为19 10.12．某班同学利用国庆节进行社会实践，对[25,55]岁的人群随机抽取n人进行了一次生活习惯是否符合低碳观念的调查，若生活习惯符合低碳观念的称为“低碳族”，否则称为“非低碳族”，得到如下统计表和各年龄段人数频率分布直方图：(1)补全频率分布直方图，并求n 、a 、p 的值；(2)从[40,50)岁年龄段的“低碳族”中采用分层抽样法抽取18人参加户外低碳体验活动，其中选取3人作为领队，记选取的3名领队中年龄在[40,45)岁的人数为X ，求X 的分布列和期望E (X )．解析 (1)第二组的频率为1－(0.04＋0.04＋0.03＋0.02＋0.01)×5＝0.3，∴高为0.35＝0.06.频率直方图如下：第一组的人数为1200.6＝200，频率为0.04×5＝0.2，∴n ＝2000.2＝1 000.由题可知，第二组的频率为0.06×5＝0.3， ∴第二组的人数为1 000×0.3＝300，∴p ＝195300＝0.65.第四组的频率为0.03×5＝0.15，∴第四组的人数为1 000×0.15＝150，∴a ＝150×0.4＝60.(2)∵[40,45)岁年龄段的“低碳族”与[45,50)岁年龄段的“低碳族”的比值为60∶30＝2∶1，∴采用分层抽样法抽取18人，[40,45)岁中有12人，[45,50)岁中有6人．∵随机变量X 服从超几何分布，∴P (X ＝0)＝C 012C 36C 318＝5204，P (X ＝1)＝C 112C 26C 318＝1568，P (X ＝2)＝C 212C 16C 318＝3368，P (X ＝3)＝C 312C 06C 318＝55204.∴随机变量X 的分布列为∴E (X )＝0×5204＋1×1568＋2×3368＋3×55204＝2.13．四个纪念币A 、B 、C 、D ，投掷时正面向上的概率如下表所示(0<a <1).(1)求ξ的分布列与数学期望；(2)在概率P (ξ＝i )(i ＝0,1,2,3,4)中，若P (ξ＝2)的值最大，求a 的取值范围． 解析 (1)P (ξ)是ξ个正面向上，4－ξ个背面向上的概率．其中ξ的可能取值为0,1,2,3,4.P (ξ＝0)＝C 02(1－12)2C 02(1－a )2＝14(1－a )2，P (ξ＝1)＝C 12·12(1－12)C 02(1－a )2＋C 02(1－12)2C 12a (1－a )＝12(1－a )，P (ξ＝2)＝C 22·(12)2C 02(1－a )2＋C 12·12(1－12)C 12a (1－a )＋C 02(1－12)2C 22a 2＝14(1＋2a －2a 2)，P (ξ＝3)＝C 22(12)2C 12a (1－a )＋C 12·12(1－12)C 22a 2＝a 2，P (ξ＝4)＝C 22(12)2C 22a 2＝14a 2.∴ξ的分布列为ξE (ξ)＝0×14(1－a )2＋1×12(1－a )＋2×14×(1＋2a －2a 2)＋3×a 2＋4×14a 2＝2a＋1.(2)∵0<a <1，∴P (ξ＝0)<P (ξ＝1)，P (ξ＝4)<P (ξ＝3)． 则P (ξ＝2)－P (ξ＝1)＝14(1＋2a －2a 2)－1－a 2 ＝－14(2a 2－4a ＋1)≥0，P (ξ＝2)－P (ξ＝3)＝14(1＋2a －2a 2)－a2 ＝－14(2a 2－1)≥0，由⎩⎨⎧2a 2－4a ＋1≤0，2a 2－1≤0，得2－22≤a ≤22，即a 的取值范围是[2－22，22]． 14．四个大小相同的小球分别标有数字1、1、2、2，把它们放在一个盒子里，从中任意摸出两个小球，它们所标有的数字分别为x ，y ，记ξ＝x ＋y .(1)求随机变量ξ的分布列及数学期望；(2)设“函数f (x )＝x 2－ξx －1在区间(2,3)上有且只有一个零点”为事件A ，求事件A 发生的概率．解析 (1)由题知随机变量ξ的可能取值为2,3,4. 从盒子中摸出两个小球的基本事件总数为C 24＝6. 当ξ＝2时，摸出的小球所标的数字为1、1， ∴P (ξ＝2)＝16.当ξ＝4时，摸出的小球所标的数字为2、2， ∴P (ξ＝4)＝16.∴可知当ξ＝3时，P (ξ＝3)＝1－16－16＝23. ∴ξ的分布列为∴E (ξ)＝2×16＋3×23＋4×16＝3.(2)∵函数f (x )＝x 2－ξx －1在区间(2,3)上有且只有一个零点，∴f (2)f (3)＜0，即(3－2ξ)(8－3ξ)＜0.∴32＜ξ＜83，且ξ的所有可能取值为2、3、4. ∴ξ＝2，∴P (A )＝P (ξ＝2)＝16. ∴事件A 发生的概率为16. 15.要从甲，乙两名运动员中选拔一人参加2013年天津东亚运动会跳水项目，对甲、乙两人进行培训．现分别从他们在培训期间参加的若干次预赛成绩中随机抽取6次，得出成绩茎叶图如图所示．(1)从平均成绩及发挥稳定性的角度考虑，你认为选派哪名运动员更合适？ (2)若将频率视为概率，对甲运动员在今后3次的比赛成绩进行预测，记这3次成绩中高于80分的次数为ξ，求ξ的分布列及数学期望．解析 (1)x 甲＝16(78＋79＋81＋84＋93＋95)＝85， x 乙＝16(75＋80＋83＋85＋92＋95)＝85，s 2甲＝16[(78－85)2＋(79－85)2＋(81－85)2＋(84－85)2＋(93－85)2＋(95－85)2]＝1333，s 2乙＝16[(75－85)2＋(80－85)2＋(83－85)2＋(85－85)2＋(92－85)2＋(95－85)2]＝1393.∵s 2甲<s 2乙，∴甲的发挥更稳定，∴选派甲更合适．(2)由题知甲成绩高于80分的概率P ＝23， ξ可能取0,1,2,3. 由题意，得ξ～B ⎝ ⎛⎭⎪⎫3，23.P (ξ＝k )＝C k 3⎝ ⎛⎭⎪⎫23k ⎝ ⎛⎭⎪⎫133－k，k ＝0,1,2,3，ξ的分布列为E (ξ)＝3×23＝2.16．(2012·大纲全国)乒乓球比赛规则规定：一局比赛，双方比分在10平前，一方连续发球2次后，对方再连续发球2次，依次轮换．每次发球，胜方得1分，负方得0分．设在甲、乙的比赛中，每次发球，发球方得1分的概率为0.6，各次发球的胜负结果相互独立．甲、乙的一局比赛中，甲先发球．(1)求开始第4次发球时，甲、乙的比分为1比2的概率； (2)ξ表示开始第4次发球时乙的得分，求ξ的期望．解析 记A i 表示事件：第1次和第2次这2次发球，甲共得i 分，i ＝0,1,2； A 表示事件：第3次发球，甲得1分；B 表示事件：开始第4次发球时，甲、乙的比分为1比2. (1)B ＝A 0·A ＋A 1·A ，P (A )＝0.4，P (A 0)＝0.42＝0.16，P (A 1)＝2×0.6×0.4＝0.48， P (B )＝P (A 0·A ＋A 1·A ) ＝P (A 0·A )＋P (A 1·A ) ＝P (A 0)P (A )＋P (A 1)P (A )＝0.16×0.4＋0.48×(1－0.4)＝0.352. (2)P (A 2)＝0.62＝0.36. ξ的可能取值为0,1,2,3.P (ξ＝0)＝P (A 2·A )＝P (A 2)P (A )＝0.36×0.4＝0.144， P (ξ＝2)＝P (B )＝0.352，P (ξ＝3)＝P (A 0·A )＝P (A 0)P (A )＝0.16×0.6＝0.096， P (ξ＝1)＝1－P (ξ＝0)－P (ξ＝2)－P (ξ＝3) ＝1－0.144－0.352－0.096＝0.408.E(ξ)＝0×P(ξ＝0)＋1×P(ξ＝1)＋2×P(ξ＝2)＋3×P(ξ＝3)＝0.408＋2×0.352＋3×0.096＝1.400.17．(2012·江苏)设ξ为随机变量，从棱长为1的正方体的12条棱中任取两条，当两条棱相交时，ξ＝0；当两条棱平行时，ξ的值为两条棱之间的距离；当两条棱异面时，ξ＝1.(1)求概率P(ξ＝0)；(2)求ξ的分布列，并求其数学期望E(ξ)．解析(1)若两条棱相交，则交点必为正方体8个顶点中的1个，过任意1个顶点恰有3条棱，所以共有8C23对相交棱，因此P(ξ＝0)＝8C23C212＝8×366＝411.(2)若两条棱平行，则它们的距离为1或2，其中距离为2的共有6对，故P(ξ＝2)＝6C212＝111.于是P(ξ＝1)＝1－P(ξ＝0)－P(ξ＝2)＝1－411－111＝611.所以随机变量ξ的分布列是因此E(ξ)＝1×6 11＋18．(2012·山东)现有甲、乙两个靶，某射手向甲靶射击一次，命中的概率为34，命中得1分，没有命中得0分；向乙靶射击两次，每次命中的概率为23，每命中一次得2分，没有命中得0分，该射手每次射击的结果相互独立．假设该射手完成以上三次射击．(1)求该射手恰好命中一次的概率；(2)求该射手的总得分X的分布列及数学期望E(X)．解析(1)记：“该射手恰好命中一次”为事件A，“该射手射击甲靶命中”为事件B，“该射手第一次射击乙靶命中”为事件C，“该射手第二次射击乙靶命中”为事件D，由题意知P(B)＝34，P(C)＝P(D)＝23.由于A ＝B C D ＋B C D ＋B C D ， 根据事件的独立性和互斥性得P (A )＝P (B C D ＋B C D ＋B C D ) ＝P (B C D )＋P (B C D )＋P (B C D )＝34×⎝ ⎛⎭⎪⎫1－23×⎝ ⎛⎭⎪⎫1－23＋⎝ ⎛⎭⎪⎫1－34×23×⎝ ⎛⎭⎪⎫1－23＋⎝ ⎛⎭⎪⎫1－34×⎝ ⎛⎭⎪⎫1－23×23＝736.(2)根据题意，X 的所有可能取值为0,1,2,3,4,5. 根据事件的独立性和互斥性得 P (X ＝0)＝P (B C D ) ＝[1－P (B )][1－P (C )][1－P (D )] ＝⎝ ⎛⎭⎪⎫1－34×⎝ ⎛⎭⎪⎫1－23×⎝ ⎛⎭⎪⎫1－23＝136， P (X ＝1)＝P (B C D )＝P (B )P (C )P (D ) ＝34×⎝ ⎛⎭⎪⎫1－23×⎝ ⎛⎭⎪⎫1－23＝112，P (X ＝2)＝P (B C D ＋B C D )＝P (B C D )＋P (B C D ) ＝⎝ ⎛⎭⎪⎫1－34×23×⎝ ⎛⎭⎪⎫1－23＋⎝ ⎛⎭⎪⎫1－34×⎝ ⎛⎭⎪⎫1－23×23 ＝19，P (X ＝3)＝P (BC D )＋B C D )＝P (BC D )＋P (B C D ) ＝34×23×⎝ ⎛⎭⎪⎫1－23＋34×⎝ ⎛⎭⎪⎫1－23×23＝13，P (X ＝4)＝P (B CD )＝⎝ ⎛⎭⎪⎫1－34×23×23＝19，P (X ＝5)＝P (BCD )＝34×23×23＝13. 故X 的分布列为136＋1×112＋2×19＋3×13＋4×19＋5×13＝4112.所以E(X)＝0×。