2021年高三上学期第五次周考（理）数学试题含答案
一、选择题：本大题共12个小题,每小题5分,共60分.在每小题给出的四个选项
中，只有一项
是符合题目要求的.
1.已知集合，，则是（）
A． B． C． D．
2.设复数（为虚数单位），的共轭复数为，则等于（）
A． B． C． D．
4.奇函数的定义域为，若为偶函数，则（）
A．-2 B．-1 C．0 D．1
5.已知二次函数的两个零点分别在与内，则的取值范围是（）
A． B． C． D．
6.某三棱锥的三视图如图所示，该三棱锥的表面积是（）
A． B． C． D．
7.如图给出的是计算的值的程序框图，其中判断框内应填入（）
A ．
B ．
C ．
D ．
8.已知()sin(2014)cos(2014)63f x x x ππ
=++-的最大值为，若存在实数，使得对任意实数总有成立，则的最小值为（ ）
A ．
B ．
C ．
D ．
9.抛物线的焦点为，已知点为抛物线上的两个动点，且满足，过弦的中点作抛物线准线的垂线，垂足为，则的最大值为（ ）
A ．
B ．1
C ．
D ．2
10.如图，正方体的棱长为，以顶点为球心，2为半径作一个球，则图中球面与正方体的表面相交所得到的两段弧长之和等于（ ）
A ．
B ．
C ．
D ．
11.已知定义的上的函数满足且在上是增函数，不等式对任意恒成立，则实数的取值范围是
（）
A． B． C． D．
12.定义在上的函数满足，且对任意都有，则不等式的解集为（）
A． B． C． D．
二、填空题（每题5分，满分20分，将答案填在答题纸上）
13.曲线在点处的切线方程的一般形式为 .
14.数列中，且（是正整数），则数列的通项公式 .
15.已知非零向量满足，向量与的夹角为，且，则下列与的夹角为 .（用弧度制表示）
16.已知函数，下列关于函数（其中为常数）的叙述中：
①对，函数至少有一个零点；
②当时，函数有两个不同零点；
③，使得函数有三个不同零点；
④函数有四个不同零点的充要条件是.
其中真命题有 .（把你认为的真命题的序号都填上）
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12分）
已知分别为三个内角的对边，.
（1）求的大小；
（2）若，求的周长的取值范围.
18. （本小题满分12分）
甲、乙两位同学从共所高校中，任选两所参加自主招生考试（并且只能选两所高校），但同学特别喜欢高校，他除选高校外，再在余下的所中随机选1所；同学乙对所高校没有偏爱，在所高校中随机选2所. 若甲同学未选中高校且乙选中高校的概率为.
（1）求自主招生的高校数；
（2）记为甲、乙两名同学中未参加高校自主招生考试的人数，求的分布列和数学期望.
19. （本小题满分12分）
如图，在四棱锥中，底面是正方形，侧棱底面，，是的中点，作交于点.
（1）求证：平面；
（2）求二面角的正弦值.
20. （本小题满分12分）
已知分别为椭圆的上、下焦点，是抛物线的焦点，点是与在第二象限的交点，且. （1）求椭圆的方程；
（2）与圆相切的直线交椭圆于，若椭圆上一点满足，求实数的取值范围.
21. （本小题满分12分）
已知函数，，其中为实数.
（1）求函数的单调区间；
（2）若函数对定义域内的任意恒成立，求实数的取值范围；
（3）证明：
111
ln(1)ln(2)ln()()
n
m m m n m m n
+++>
++++
，对于任意的正整数成立.
请考生在22、23中任选一题作答，如果多做，则按所做的第一题记分.
22. （本小题满分10分）选修4-4：坐标系与参数方程
已知曲线（为参数），（为参数）.
（1）化的方程为普通方程；
（2）若上的点对应的参数为，为上的动点，求中点到直线（为参数）距离的最小值.
23. （本小题满分10分）选修4-5：不等式选讲
设函数.
（1）解不等式；
（2）设函数，且在上恒成立，求实数的取值范围.
参考答案DCACD BBAAA BD
13. 14. 15. 16.②④
17.（1）由正弦定理得：
sin cos 3sin sin sin sin A C A C B C ?+=+
sin cos 3sin sin sin()sin A C A C A C C ?+=++
（2）由已知：由余弦定理
22222231492cos ()3()()()344
b c bc b c bc b c b c b c π=+-=+-≥+-+=+ （当且仅当时等号成立），∴，又，∴，
从而的周长的取值范围是.
17.解：（1）由已知得，甲同学选中高校的概率为，
.
整理得，，
∵，解得，故自主招生的高校数为5所.
（2）的所有可能取值为0,1,2
，，
，
则的分布列为：
X 0 1 2
P
∴的数学期望.
19.建立空间直角坐标系，点为坐标原点，设.
（1）证明：连结，交于点，连结，依题意得，
因为底面是正方形，所有点是此正方形的中心，
故点的坐标为，且，.
所以，即，而平面，且平面，
因此平面.
（2），又，故，所以.
由已知，且，所以平面.
所以平面的一个法向量为，，，
不妨设平面的法向量为，则，
不妨取，则，即，
设求二面角的平面角为，
，因为，所以，
二面角的正弦值大小为.
20.（1）由题意，所以，又由抛物线定义可知，得，于是易知，从而，
由椭圆定义知，，得，故，
从而椭圆的方程为.
（2）设，则由知，
，，且①
又直线与圆相切，所以有，
由，可得②
又联立，消去得
且恒成立，且，，
所以，所以得，
代入①式得，所以，
又将②式代入得，，，
易知，且，所以，
所以的取值范围为.
21.（1）因为
2
'
(1)()(1) ()(1)
a x a x a x a x
f x x a
x x x
-++--=+-+==
当时，令得；得，
此时，函数的增区间是，减区间是
当时，令得或；得，
此时，函数的增区间是和，减区间是
当时，对任意恒成立，
此时，函数的增区间是，无减区间，
当时，令得或；得，
此时，函数的增区间是和，减区间是.
（2）由于，显然当时，，此时，对定义域内的任意不是恒成立的；当时，根据（1）函数在区间上的极小值（也是最小值）是，此时只要即可，解得，故实数的取值范围是.
（3）当时，（当且仅当时等号成立）
则，当时，此不等式可以变形为，
分别令， 则1111ln(1)ln(2)ln(3)ln()m m m m n ++++++++ 11111111()()()1121()
n m m m m m n m n m m n m m n >-+-++-=-=++++-+++ 所以1111ln(1)
ln(2)ln(3)
ln()
()n m m
m m n m m n +
+++>+++++ 22.（1）由，得，所以，
由，得，所以
（2）当时，，，故，
为直线，到的距离
|4cos 3sin 13||5cos()13||513|5555
d θθθ?=--=+-≥-= （其中，）
当且仅当时，取得最小值.
23.解：（1）由条件知：4,1()|3||1|22,134,3x f x x x x x x <-??=--+=-+-≤≤??->?
，
由，解得.
（2）由得，由函数图象可知的取值范围是.
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宁夏育才中学2016～2017学年第一学期 高三第四次月考试卷 英语 本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。考生作答时，将答案答在答题卡上，在本试卷上答题无效。考试结束后，将本试卷和答题卡一并交回。 第一卷 第一部分：听力（共两节，满分30分） 做题时，先将答案标在试卷上。录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。 第一节：（共5小题；第小题1.5分，满分7.5分） 听下面5段对话。每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳答案，并标在试卷的相应位置。听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。 1. Where is the woman now? A. In the classroom. B. At home. C. In the office. 2. When will the shirts be finished? A. On Sunday afternoon. B. On Saturday afternoon. C. On Friday morning. 3. What will the man do according to the dialogue? A.Return the tape to the woman right now. B. Keep the tape for another week. C. Borrow another tape next week. 4. What does the man want? A. Two single tickets. B. Two return tickets C. One return ticket. 5. What news does the woman get from the man? A. Sam will leave New York very soon B. Sam’s sister will leave for Los Angeles very soon C. Sam’s sister will leave for New York very soon 第二节 听第6段材料，回答第6至8小题。 6. Why does the woman make the telephone call ? A. To find out the best way to go to New York. B. To find out information on traveling by bus. C. To find out the che apest way to get to New York. 7. Is the woman going to take the bus ？ A. Yes. B. No. C. Hard to say. 8. How much will the woman pay if she takes the bus? A . $ 50 . B . $ 15 . C. $ 35 听第7段材料，回答第9至11题。 9. Where are the two speakers? A. At a booking office. B. At a museum. C. In a record store. 10. When will the Japanese Music Concert be given?
八年级英语下册第二次周考试卷 一. 听力（20分,每小题1分） Ⅰ. 听句子，选择正确图片。每个句子读一遍。(5分) ( )1. How do they like when they hear the news? A B C ( )2. Which picture is the speaker talking about? A B C ( )3. How is the movie makes people feel? A B C ( )4. What is Jane doing? A B C ( )5. What are they doing? A B C Ⅱ. 听句子及问题，选择正确答语。每个句子及问题读一遍。(5分) ( )6. A. No, it doesn’t look nice.
B. Thank you. C. It’s very expensive. ( )7. A. On the road. B. In the cinema. C. In the shop. ( )8. A. 7:50. B. 7:15. C. 7:05. ( )9. A. Beijing Opera. B. Movies. C. Both Beijing Opera and movies. ( )10. A. Because he failed the English exam. B. Because he fell off his bike and was badly hurt. C. Because he missed his mother very much. Ⅲ. 听对话，选择正确答案。每段对话读两遍。(5分) ( )11. Why does Xiao Li feel happy? A. Because he will be able to go skiing this afternoon. B. Because he will have the movie ticket. C. Because his best friend will come. ( )12. What happened to Tom’s brother? A. He was ill. B. He got hurt. C. He fell off his bike. ( )13. What does Lucy worry about? A. Speaking in front of many people. B. Seeing the doctor. C. Becoming fatter and fatter. ( )14. What will Mary do when unhappy things happen to her?
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英语试题 （本试卷分为第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分，共150分。考试时间120分钟） 第Ⅰ卷（两部分，共95分） 第一部分：英语知识运用（共三节，满分50分） 第一节：语音知识（共5小题；每小题1分，满分5分） 从A、B、C、D四个选项中，找出划线部分与所给单词划线部分读音相同的选项。 1.kick A. live B. life C. machine D. shine 2. receive A. believe B. certain C. height D. remain 3. theater A. appear B. especially C. learner D. society 4. language. A. attentively B. control C. strange D. twinkle 5. pressure A. measure B. expression C. pleasure D. professor 第二节：单项填空（共15小题；每小题1分，满分15分） 6. The little girl _________ her heart out because she _________ her toy bear and believed she wasn’t ever going to find it . A. had cried ; lost B. cried ; had lost C. has cried ; had lost D. cries ; has lost 7. We will be shown around the city : schools , museums , and some other places . _______ other visitors seldom go . A. what B. which C. where D. when 8. -- Excuse me , sir . Would you do me a favor ? -- Of course . What is it ? --I _______ if you could tell me how to fill out this form . A. had wondered B. was wondering C. would wonder D. did wonder 9. It is so nice to hear from her . _______ , we last met more than thirty years ago . A. What＇s more B. That is to say C. In other words D. Believe it or not 10. -- When shall we start ? -- Let’s _______ it 8:30 . Is that all right ? A. set B. meet C. make D. take 11. All the people _______ at the party were his supporters . A. present B. thankful C. interested D. important 12. -- Would you like to come to the dinner party here on Saturday ? -- Thank you . I’d love to , _______ I’ll be out of town at the weekend . A. because B. and C. so D. but 13. Be careful when you cross this very busy street . If not , you may _______ run over by a car . A. have B. get C. become D. turn 14. His mother had thought it would be good for his character to _______ from home and earn
初二英语试题及答案 注：1. 卷面分3分。 一、听力测试（25分） （一）录音中有五个句子，每个句子听两遍，然后选出每个句子的正确应答语。（10分） 1. A.I visited my aunt. B.Thank you. C.It was great. 2. A. No, she didn’t. B. Yes, she didn’t. C.Yes, he did. 3. A.A watch. B. Talk shows. C.Reading. 4. A.My school uniform. B.At school. C. On Monday. 5. A. It takes 25 minutes. B. How about you? C.I take a train. （二）录音中有五组对话和五个问题，听对话和问题两遍后，选出能回答每个问题的正确答案。 6. A. Yes, I do. B.Yes, she does. C.No, she doesn’t. 7. A.In the classroom. B. In the garden. C.In the hallway. 8. A.He went to the beach. B. He visited her aunt. C. He was at home. 9. A.She takes a train. B.She drives a car. C.She takes a ship. 10. A.Yes, she did. B. No, she didn’t. C. We don’t know. （三）录音中有一段对话和五个问题，听对话和问题两遍后，选出能回答每个问题的正确答案。 11. A.He takes the subway. B. He takes the bus. C.He gets to school on foot. 12. A. An hour. B.Two hours. C.Around thirty minutes. 13. A.She rides a bike. B.She takes a taxi. C.She walks. 14. A. Around two hours. B.Around five minutes. C.About twenty-five minutes. 15. A.Yes, she does. B.No, she doesn’t. C. We don’t know. （四）录音中有一篇短文，听短文两遍后，判断下列各句正(T)误（F）。 16. Jeff had a great vacation. 17. Jeff went across the USA by train. 18. The weather was cool in big cities. 19. Jeff loved the houses in the mountains very much. 20. The houses in the mountains were big and quiet. 二、单项填空（20分） 从每小题A、B、C、D中选出能填入句中空白处的最佳选项。 21. It’s interesting, but ________ difficult for me.
西华一高高一年级上学期周考 英语试题 第一部分: 听力(1—20题)（略） 第二部分：阅读理解（共两节，满分40分） 第一节（共15小题；每小题2分，满分30分） 阅读下列短文，从每题所给的A、B、C和D四个选项中，选出最佳选项。 A From family-friendly beach holidays to city breaks, you won’t need to break the bank on these trips this summer. Tenerife, Canary Islands What to do.You won’t be stuck trying to find activities that the whole family can enjoy in Tenerife. Parents can enjoy themselves as kids make the most of the sandy beaches and blue waters —everybody is happy. Where to stay. The four-star, all-inclusive Fanabe Costa Sur Hotel is a short walk from Playa del Duqe and Playa Fanabe. Its central location means it’s conveniently right by the area’s bars, shops and restaurants. Cyprus What to do: Whether you like to go out and explore local cultures or prefer to sit on a beach with a good book, Cyprus serves a wide range of holiday types. There are famous historic sites —such as UNESCO World Heritage Site “The Tomb of Kings” as well as mountains that are ideal for picturesque beaches, with many hotels offering water sports and other fun activities. Where to stay: The five-star Great Beach Hotel overlooks the Mediterranean sea, and is just a few minutes’ walk from the town. Goa, India What to do.Looking to venture somewhere a bit different this summer? Goa has everything you could want for an unforgettable
重庆八中高2020级高三（下）第4次月考 英语试题 第二部分阅读理解（共两节，满分40分） 第一节（共15小题；每小题2分，满分30分） 阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该选项涂黑。 A Language Engineer Wanted Are you a linguist（语言学家）with technical skills? Or are you an engineer with a passion for（human）languages? Come work on Alexa! We're building the speech and language solutions behind Amazon Echo and other Amazon products and services. Our goal is to delight our customers by adding new features to Alexa. We also improve our existing speech recognition and natural language processing systems. Specifically, you will: ●design the natural language processing components of new Alexa experiences and features; ●discover and solve production issues that are impacting the Alexa customer experience; ●work with other language engineers in creating the best solutions to improve customer satisfaction. Basic qualifications: ●Bachelor's degree in a relevant field ●Experience in computational linguistics（计算语言学）, language data processing, etc. ●Experience working with speech and text language data in several languages ●Experience in Python, Perl, or other programming languages Primary qualifications: ●Advanced degree in a relevant field ●Familiarity with database queries（数据库查询）and data analysis processes ●Experience with statistical language modeling ●Fluency in a language other than English Application instructions: Please click"Apply Now"and follow our online application process Deadline: September 30, 11:59 p.m., Eastern Daylight Time（EDT）. We highly recommend that candidates submit résumés up to two weeks in advance of the deadline. Submitting on the deadline day is NOT recommended,and applications received late will not be accepted. 1
山西省实验中学2016-2017学年度高三年级第四次月考试题（卷） 英语 说明： 1. 考生务必将自己所在班级、姓名、准考证号等信息填写在密封线内的相应位置。 2. 本试卷分第I卷和第II卷两部分，共8页。答题时间100分钟，满分150分。 3. 答卷时考生务必用蓝、黑色墨水笔或圆珠笔作答。 第I卷客观题（100分） 第一部分:阅读理解（共两节，满分60分） 第一节（共15小题；每小题3分，满分45分） 阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该项涂黑。 A Researcher s at the University of Kansas say that people can accurately judge 90 percent of a stranger's personality simply by looking at the person's shoes. “Shoes convey a thin but useful slice of information about their wearers,” the authors wrote in the new study published in the Journal of Research in Personality. “Shoes serve a practical purpose, and also serve as nonverbal cues (非语言暗示) with symbolic messages. People tend to pay attention to the shoes they and others wear.” Medical Daily notes that the number of detailed personality traits (特质) detected in the study include a person's general age, income, political tendency, and other personality traits, including someone's emotional stability. Lead researcher Omri Gillath said the judgments were based on the style, cost, color and condition of someone's shoes. In the study, 63 students from the University of Kansas looked at pictures showing 208 different pairs of shoes worn by the study's participants. Participants in the study were photographed in their most commonly worn shoes, and then filled out a personality questionnaire. So, what do your shoes say about your personality? Some of the results were expected: people with higher incomes most commonly wore expensive shoes, and flashier footwear was typically worn by outgoing people. However, some of the more specific results are interesting. For example, “practical and functional” shoes were generally worn by more
铜仁一中高一年级防疫期间“停课不停学”网上第二次周考 英语试题 第一部分听力（共两节，满分30分） 第一节（共5小题；每小题1.5分，满分7.5分） 听下面5段对话。每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。 1.What will the woman do next? A.Go back home. B.Cancel her flight. C.Call her parents for help. 2.What is the woman doing? A.Making dinner. B.Reading a book. C.Washing the clothes. 3.Which part of the English exam did Jack fail to finish? A.The reading section. B.The writing section. C.The listening section. 4.How many meals does the woman have per day? A.Two. B.Three. C.Four. 5.Where might the speakers be? A.On a hill. B.On a boat. C.On a rooftop. 第二节（共15小题；每小题1.5分，满分22.5分） 听下面5段对话或独白。每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。每段对话或独白读两遍。 听第6段材料，回答第6、7题。 6.How much do people usually tip in Europe? A.10%of the total bill. B.15%of the total bill. C.20%of the total bill. 7.What does the woman think of the US tipping standard? A.It’s crazy. B.It’s quite low. C.It’s acceptable. 听第7段材料，回答第8至10题。 8.What do we know about Gary’s apartment? A.The rent is too high. B.It’s too far from his office.
高三英语周考试卷 一：听力（略） 二：单项选择： 21．My father has _____large collection of ______musical instruments . A. the ; the B. a ; the C. the; / D a ; / 22. ______everyone would like to find an apartment near the university ,there are very few vacant apartments in the area . A. Since B. When C. After D. Until 23. Although zorbing(悠波球) was invented in 2000,it has only recently begun to _______. A. get off B. set off C. jump off D.take off 24. He is really ____whom we can admire for his courage . A. somebody B. anybody C. something D. everybody 25. -----I’d like to see the latest movie very much ,but I have no money on me . ----That’s OK .This is my _______. Ａ．offer B. turn C. service D. treat 26.Guangzhou Karaoke businesses are reported ____a 12-yuan royalty fee for each Karaoke room ,a charge set by the china Audio and Video Association . A. to refuse B. refusing C. to have refused D.having refused 27.----I’ll come to pick you at 11:30 tomorrow . ----But by then my class will have been over and I______my lunch at home A. am to have B. will have C. will be having D. will have had 28.---Can you answer the question for me , Mr Smith ? ---Oh, ______! A.you’ve got it B. help yourself C. you’ve got me there D. you made it 29. Last month, part of Southeast Asia was struck by floods, from _____ effects the people are still suffering. A. that B. whose C. those D. what 30. I’ve tried several times, but the car just _______. A. doesn’t st art B. wouldn’t start C. won’t start D. didn’t start 31. Please tell me _____ you would like to have your coffee ―black or white? A. what B. where C. when D. how 32. People like beautiful things, but the beautiful________ not always the useful. A. is B. are C. was D. were 33. ―How often do you refer to the dictionary when you are reading an English novel? ―Well, ________. I will look up the word if it affects my understanding. A. never B. very often C. it depends D. if possible 34. ―Could you _______ take care of my dog while I’m away? ―Sure. Leav e it to me, please. A. perhaps B. possibly C. maybe D. probably 35．―Have you worked out when the final payment is _______?
南阳一中2017届高三上期第四次月考 英 语 试 题 满分150=（阅读40+完形20+语法填空15+完成句子10+改错10+作文25）*1.25 第二部分 阅读理解（共两节，满分40分） 第一节（共15小题；每小题2分，满分30分） 阅读下列短文，从每题所给的四个选项（A 、B 、C 和D ）中，选出最佳选项。 A Modern life can be stressful. It’s full of pressure and hardships, worries and annoyances. But after years of being dosed up by doctors and seeking solutions on the self-help shelves, can most common complaints be cured through your next holiday? The festival doctor will see you now.
21. When celebrating the festival Just for Laughs in Montreal, you will _________. A. empty your mind with meditation sessions B. be thrilled and your depression will not be removed C. burst into tears by watching comedy films D. have discussions on the meaning of life 22. If you are thinking too much about work, you can spend a few days at ___________. A. Wanderlust Festival B. How The Light Gets In C. Just For Laughs D. Ireland’s Matchmaking Festival 23. According to the passage, we can learn the festival doctor specializes in ________. A. treating people falling ill during festivals B. listening to people’s complaints during festiv als C. offering a cure through the festival form D. celebrating the festivals with the patients B “Now stretch over your right leg!” my dance teacher yells over the music. “If it doesn't hurt, you're not trying hard enough. Hold that stretch for 30 seconds!" My dance teacher works hard to form us into the dancers we desire to be. In order for this to occur, we stretch hard a lot! Dancing is a real passion of many people, including me. I work hard to make myself better, and prove that I am good enough. Performing a dance routine is more than just a performance. Dancers tell stories when they dance. It is a way for us to express our personal feelings. Just letting go and letting your body move with the music can create your emotions. Dance tells us things that our mind secretly hides. “Get up and do it again! You need to keep your spirits up!” Even though I am completely
时间：2013年11月16日 温馨提醒：机读卡请从第21题开始涂，注意题号。 第I卷（选择题，共85分） 第二部分：英语知识运用（共两节, 满分35分） 第一节：语法和词汇知识（共15小题；每小题1分, 满分15分） 从每题所给的A、B、C、D四个选项中, 选出可以填入空白处的最佳选项。 21. — We'd like you to come to our party this evening, if possible. —_______,but I can't come back until tomorrow. A. Agree with you B. Forget it C. I'm afraid not D. I'm sorry 22.The 110th celebration is _______special holiday for most members in our campus when_______ whole students and teachers will get together to enjoy ourselves. A. the; the B. a; the C. a; a D. the; a 23. John Smith, a successful instructor in education, is planning to purchase a _______ car. A. small Japanese black B. small black Japanese C. black small Japanese D. Japanese small black 24. The boss _______ department Mr Li worked ten years ago looks down upon women. A. in which B. in that C. in whose D. whose 25.When we heard Zhou Libo’s wonderful jokes, we couldn’t_______ our laughter. A. contain B. stand C. help D. continue 26. —I thought Gao Hui and her friend were in the cinema seeing the film “Let The Bullets Fly” yesterday evening. — Impossible. She _______ TV with me in my home then. A. watched B. had watched C. would watch D. was watching 27. Exciting as its special effects are _______, there is too much violence in the film. A. to watch B. to be watched C. watching D. being watched 28. All the Harry Potter books by Rowling, a poor single mother _______ in Edinburgh, _______ all over the world. A. lives; are well sold B. lives; sell good C. living; sell well D. living; are well sold 29. At the foot of the Alps where there is a lake named Schwansee _______ . A. the New Swan Stone Castle stands B. stands the New Swan Stone Castle C. does the New Swan Stone Castle stand D. there the New Swan Stone Castle stands 30.—Where did you get such a beautiful skirt? —It was at the department store _______we used to shop. A. that B. which C. where D. there 31. —I’m worried about the sports meeting. Do you think it will be postponed? —If it _______ rain tomorrow, but actually the weather forecast has removed our worry.