10.△ABC的外接圆圆心为O.且.则∠C等于A.45° B.60° C.75° D.90° 查看更多

 

题目列表(包括答案和解析)

ABC公司对年度最佳员工进行奖励:选择自己想去的城市,进行一趟开心之旅。Peter, Penny, Catherine, Helen和Lee被评为了年度最佳员工,他们正在挑选自己想去的城市。阅读下面旅行社提供的城市旅游介绍摘要(A、B、C、D、E和F),选出适合他们的最佳城市,并在答题纸上相应选项的标号涂黑。选项中有一项是多余选项。

Peter is fond of delicious food and he also wants to have some wonderful tea.

Penny likes stocks and she wants to appreciate some world-class musicals as well.

Catherine loves reading and she is crazy about Sherlock Holmes.

Helen prefers to visit a city which has not only a long history but also modern scenes.

Lee is a big fan of water sports and sunshine.

       A.FROM a skyline featuring both minarets(尖塔) and church spires to the call to prayer competing with music in a hip cafe, Istanbul is the only major city to span two continents. While it is known for sights dating back thousands of years, it also has a fascinating, and often ignored, modern scene that is finally receiving international attention. As a 2010 European Capital of Culture, the city is showcasing local artists in both historic areas and new museums — yet another example of how Istanbul is among the world’s most visually exciting cities.

    B.WUHOU temple and surrounding areas are interesting and fun to walk through. It's worth spending time in a tea house, perhaps one in Renmin Park, because Chengdu's tea culture is worth experiencing. Chun Xi Lu, with its fluorescent lights and frenetic shoppers, is a good place to see the more modern China, especially at night. But the real attraction in Chengdu, and in Sichuan in general, is often the food. The hotpot, while not as spicy as in Chongqing, is worth trying. It is the same with chao shou, or dumplings. Maybe you should head over to the restaurant section right now.

    C.SUNNY, fashion-forward, Sydney is an energetic city bent on making its mark. Sydney in particular is graced with wonderful weather most of the year. Many people are water sports fanatics and can be found on any given day enjoying the beautiful weather on the bay. Sports like surfing are being celebrated in their national birthplace. Boating or Sailing is another great way to enjoy the magnificent weather that Sydney offers most of the year.

    D. THERE are many different Londons, and they appeal to people with many different passions: museum lovers, theatergoers, devotees of royalty, people who like to walk in the rain. But richest of all, perhaps, is the London for book lovers.Skip to next paragraph Because the city is the star and the backdrop of so much great literature, it is possible to believe you know it intimately(亲切的)— how it looks, how it feels — without ever leaving your home country, or indeed your home. But it is better to visit, if only for the joy of seeing the landscape of your imagination come to life. How thrilling it is to wander along Baker Street, where Sherlock Holmes once fictionally solved the unsolvable!

    E. CAIRO is third world and first world, Islamic world, a city that jars all the senses, all at once. There are thousands of years of history in this city of 18 million people, and that history can be seen in the people themselves: the seller peddling his beans from a decorated cart, the felucca (a traditional wooden sailing boat) captain guiding his sailboat through the murky Nile, the young man riding a bicycle through traffic with a ladder-sized tray of bread balanced on his head. Come prepared: a scarf for women to enter mosques; packets of tissues for bathroom stops; small bills for tips; and if you like to drink, a bottle or two of wine from the duty-free airport shop. Cairo has a lot to offer, but a good bottle of wine is not included.

    F. MANY districts and landmarks in New York have become well- known to outsiders. The Statue of Liberty greeted millions of immigrants as they came to America in the late 19th and early 20th centuries. The Broadway theater district is a major center of the world's entertainment industry. Anchored by Wall Street, in Lower Manhattan, New York vies with London as the financial capital of the world and is home to the New York Stock Exchange, the world's largest stock exchange by market capitalization of its listed companies. The original Manhattan Chinatown attracts a flood of tourists to its busy sidewalks and retail establishments.

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"Oh, you must have been a spoiled(宠坏的) kid. You must be really bossy. I wonder what you're going to be like to deal with?" That's often the response Angela Hult gets when people find out she's an only child, she told ABC News, Despite such negative(消极的) remarks, Hult has decided to have only one child herself. And she's not alone.

  According to the US' Office for National Statistics, women approaching the end of their childbearing years had an average of l.9 children in 2004, compared with 3.1 for their counterparts in 1976. The percentage of one-child families in Britain had risen from 18 percent in 1972 to 26 percent in 2007.

  But even though only children are becoming increasingly common, the traditional view that they're selfish, spoilt and lack social skills holds strong. Even parents of only children, like Hult, are made to feel guilty about having only one child. Worried that they're being selfish and endangering their child's future, they flock to online discussion forums seeking advice. Soon, however, they ask themselves: is this social prejudice really reasonable?

  "There have been hundreds and hundreds of research studies that show that only children are no different from their peers(同龄人) ," Susan Newman, a social psychologist at Rutgers University in the US, told ABC News.

  This raises another question: why are only children still viewed with such suspicion?

  "There is a belief that's been around probably since humans first existed that to have just one child is somehow dangerous, both for you and for the continuation of your race," Toni Falbo, a professor of educational psychology, told the Guardian." In the past a lot of children died, You'd have had to be crazy to only have one. "

  Times, of course, have changed and infant mortality(婴儿死亡率) has largely reduced. So what do only children themselves say?

  Kayley Kravitz, a blogger for The Huffington Post, grew up as an only child and highly recommends the experience. "Being an only child taught me the most valuable skill of all: the ability to be alone," she said.

1.Which of the following could be the best title for the text?

A. Are only children lonely?

B. Are only children common?

C. Are only children dangerous?

D. Are only children different?

2.What does Susan Newman mean?

A. Only children are as good as their peers.

B. Only children are more selfish and spoiled.

C. Parents feel guilty about having only one child.

D. Parents will endanger their only child's future.

3.What is the common belief since human existed?

A. The infant death rate always stays high.

B. People are crazy to have only one child.

C. It's easy for only children to earn their living.

D.It's hard to continue the family line with only one child.

4.An only child like Kayley _______.

A. must be difficult to persuade

B. can possibly learn to be alone

C. should value special skills

D. need ignore bad experience

5.What's the author's attitude towards having only one child?

A. Neutral.         B. Negative.         C. Positive.        D. Doubtful.

 

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Standard English is the formal(正式的) English that you need to use when you write in coursework or in the exam. Standard English is the form of English you learn in school. All written English should be standard—that means it should be clear enough for anyone in Britain to understand it. Standard English developed as the main form of printed English in the 15th Century. At the time, every region of Britain used to spell words differently, but printers needed a fixed spelling.  Printers like Caxton chose the East Midlands dialect form which was used in London and the South East. Soon Standard English replaced(取代) all written dialect forms – the other forms of English spoken around the country. It also replaced French and Latin in law and in academic(学术的) work. In the 18th Century, people wrote dictionaries and grammar books which standardized spelling — Dr Johnson’s Dictionary of 1755 fixed many of the spellings we still use today. All written English should be Standard English — any grammar rules you learn are for Standard English and you will definitely need to learn them to avoid making mistakes in your work. The rules of Standard English mean using the correct forms of words with the correct spellings.

Avoid slang words(俚语)—words that your teachers or friends wouldn’t understand. You’ll lose marks if the examiners can’t understand what you say or write. Don’t use dialect words. Every region has words or phrases that are only used there. Don’t use them in your coursework, because you won’t be understood. Make sure you revise grammar and punctuation(标点) you have learned, and learn the list of commonly misspelled words you have made. Clichés are ideas or sayings which have been used so often that they’ve become boring and unoriginal. Phrases like, “As good as it gets” “At the end of the day” “In the fullness of time” are all clichés. So are images like, “as fierce as a lion” “as cunning as a fox”. If you use them you will sound boring and unimaginative— that could mean you lose marks for writing and speaking style. So avoid clichés.

1. What three things do you have to think about when using English? 

a. no slang word or dialect     b. no grammar and spelling mistake.  c. no phrase    

d. no cliché    e. no punctuation

A. abc.                   B. bcd.             C. ade.      D. abd.

2. What is standard English?

A. the English spoken by British people.

B. the English spoken by American people.

C. the English used in London.

D. the English spoken by British people in 15th Century.

3. What is the cliché according to the passage?

A. the English full of slang words. 

B. the boring ideas or sayings because of being used often.

C. the long phrases which are used often.

D. all the English which is used outside of London and the southeast of Britain.

4. Why do we need to use Standard English?

A. Because no one can understand dialect words.

B. Because there are many kinds of English in the world, we need Standard English to make communication easier.

C. Because local dialect belongs to certain region, not every one can understand it.

D. Because standard English has been used for a long time.

5. Which statement is true?

   A. Written English should be formal and standard.

B. Standard English means people should use the words from Dr Johnson’s Dictionary.

   C. All the spoken English should be Standard English.

D. Standard English replaced all written dialect forms in the 18th century.

 

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  If we bought only things we needed, there would be enough for everybody. What do we need? What you need depends on how old you are and your way of life. Rearrange the list of things you can buy and put the things you think we most need at the top of the list.

   Coat             Designer jeans          Water       CD player

  Dental check up   Restaurant meal     Telephone   Jewelry

  Food          Shampoo             MP3 player  Beer

  Toothpaste        Bar of chocolate        Cushion covers

     If we don’t need to buy so much, we don’t need to work so much. We can take part-time jobs or reduce our working day from eight hours to six hours. Some people are leaving very well paid jobs to live a healthier life in the countryside or a more exciting life abroad. Parents can spend more time with their children and the unemployed are given more opportunities to work.

   If we start to respect saving the earth more than spending money, we will become ‘conservers’ (保护者). When we are conservers, we try to choose environmentally friendly products that last a long time. We may find growing our own vegetables or making our own clothes more rewarding than buying them.

   Next time you go shopping, think about what you really need to buy. Don’t deprive (剥夺) yourself of things you like, but decide what you should buy before you go out, so that you won’t be influenced by advertisements or promotions. If it is more expensive to buy goods that don’t have much packaging and things that are more durable (耐用的), buy less. If you can choose to work less, decide which things you would like to make, do or grow yourself. Even though you have less money, your life will become richer.

                                                 by Julie Bray

From the passage, we can see the author suggests us consumers ______.

  A. find out more about a product instead of buying blindly

  B. consider what we really need before going shopping

  C. avoid regret at not buying enough

  D. find a real bargain

. The writer will agree with you if you buy products that are ______.

  A. beautifully packaged       B. extremely cheap

  C. usable for a long time         D. fashionable now

According to the passage, if we don’t need to buy so much, the benefits  

  will include ______.

  a. we will have more time enjoying life

  b. the employment rate will increase

  c. we will get better paid jobs

  d. we as consumers will have more choices of what to buy

  A. abc    B. abd       C. ab      D. ad

This passage is mainly written to _____.

  A. persuade people to buy less and buy environmentally friendly products

  B. put forward some questions so that you can become a smart buyer

  C. introduce some good ways to make a wiser choice when shopping

  D. criticize the consumer society in which people buy too much

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第一节 完形填空(共10小题;每小题2分,满分20分)

阅读下面短文,掌握其大意,然后从21-30各题所给的ABC和D项中,选出最佳选项.

The finest and most sought-after violins were handcrafted by an Italian violin maker over 250 years ago. The man’s name was Antonius Stradivarius. He was born in 1644 and began his career   21   a violin maker’s apprentice (学徒). Working on his own by 1680, he became determined to make   22   that could reproduce tones as rich as those produced by the human voice. He  23    several shapes and styles for his violins until he arrived at a design that pleased him. During his career he crafted 1,100 violins. Those in   24   have become treasured possessions.

    Unfortunately, the secret of the Stradivarius violin died with its maker. During his lifetime Stradivarius kept his notes safely   25  , even his two sons, who helped him in his workshop, did not know all the steps involved in each violin’s construction.

    Through the years, many experts have offered    26   explanations for the unique tone of a “Strad”. Some say it is due to the violin’s shape. Others suggests that the secret    27   the special properties(特性) of the wood, which Stradivarius obtained from native Italian trees that no longer exist. The most widely accepted explanation is that it is created by the varnish(清漆) that the    28    used to coat his violins. Chemists have analyzed as closely as possible the varnish and have found its    29    has improved the sound of many violins.   30   , no other violin maker has been able to fully reproduce the tone of the Stradivarius’s violins.

21.  A. with                       B. as                     C. for                D. from

22.  A. Instruments    B. facilities      C. equipment     D. tools

23.  A. investigated      B. surveyed      C. tested            D. experimented

24.  A. fashion       B. existence          C. possession      D. use

25.  A. protected           B. buried          C. hidden          D. covered

26.  A. possible        B. accurate                C. detailed         D. persuasive

27.  A. brings in        B. takes in       C. results in      D. lies in

28.  A. master       B. violinist          C. expert            D. user

29.  A. attention               B. application      C. invention      D. foundation

30.  A. Additionally     B. Luckily            C. Therefore       D. Still

 

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1.C   2.A   3.B   4.D   5.C   6.B   7.D   8.C   9.B  10.A

  11.120°   12.3x+y-1=0   13.   14.10    15.100    16.(1),(4)

17.解:(1)设抛物线,将(2,2)代入,得p=1. …………4分

∴y2=2x为所求的抛物线的方程.………………………………………………………5分

(2)联立 消去y,得到. ………………………………7分

设AB的中点为,则

∴ 点到准线l的距离.…………………………………9分

,…………………………11分

,故以AB为直径的圆与准线l相切.…………………… 12分

(注:本题第(2)也可用抛物线的定义法证明)

18.解:(1)在△ACF中,,即.………………………………5分

.又,∴.…………………… 7分

(2)

. ……………………………14分

(注:用坐标法证明,同样给分)

19.

解法一:(1)连OM,作OH⊥SM于H.

∵SM为斜高,∴M为BC的中点,∴BC⊥OM.

∵BC⊥SM,∴BC⊥平面SMO.

又OH⊥SM,∴OH⊥平面SBC.……… 2分

由题意,得

设SM=x,

,解之,即.………………… 5分

(2)设面EBC∩SD=F,取AD中点N,连SN,设SN∩EF=Q.

∵AD∥BC,∴AD∥面BEFC.而面SAD∩面BEFC=EF,∴AD∥EF.

又AD⊥SN,AD⊥NM,AD⊥面SMN.

从而EF⊥面SMN,∴EF⊥QS,且EF⊥QM.

∴∠SQM为所求二面角的平面角,记为α.……… 7分

由平几知识,得

,∴

,即所求二面角为. ……………… 10分

(3)存在一点P,使得OP⊥平面EBC.取SD的中点F,连FC,可得梯形EFCB,

取AD的中点G,连SG,GM,得等腰三角形SGM,O为GM的中点,

设SG∩EF=H,则H是EF的中点.

连HM,则HM为平面EFCB与平面SGM的交线.

又∵BC⊥SO,BC⊥GM,∴平面EFCB⊥平面SGM. …………… 12分

在平面SGM中,过O作OQ⊥HM,由两平面垂直的性质,可知OQ⊥平面EFCB.

而OQ平面SOM,在平面SOM中,延长OQ必与SM相交于一点,

故存在一点P,使得OP⊥平面EBC. ……………………… 14分

 

∵底面边长为1,∴

.    ……………… 1分

平面SBC的一个法向量

∴y=2h,n=(0,2h,1).… 3分

=(0,1,0),由题意,得.解得

∴斜高. …………………………………………………… 5分

(2)n=(0,2h,1)=

由对称性,面SAD的一个法向量为n1. ………………………………6分

设平面EBC的一个法向量n2=(x,y,1),由

,得

 解得.………………… 8分

设所求的锐二面角为α,则

,∴.…………… 10分

(3)存在满足题意的点.证明如下:

. ………………………… 11分

,令与n2共线,则. ……………… 13分

.故存在P∈SM,使OP⊥面EBC.……………………… 14分

20. 解:(1)当n为奇数时,an≥a,于是,. ………………3分

         当n为偶数时,a-1≥1,且an≥a2,于是

=. …………6分

(2)∵,∴公比.……9分

. …………………………………………10分

(注:如用求和公式,漏掉q=1的讨论,扣1分)

 . ……………12分

.……15分21.解:(1)∵,∴,∴. 1分

,即,∴. …3分

①当,即时,上式不成立.………………………………………………4分

②当,即时,.由条件,得到

,解得. ……………………………………………5分

,解得.…………………………………………6分

 m的取值范围是. ………………………………………7分

(2)有一个实根.………………………………………………………………………………9分

,即

,则

. ………………………10分

 △>0,故有相异两实根

,∴ 显然

,∴,∴. …………12分

于是

                    

为三次函数的极小值点,故与x轴只有一个交点.

∴  方程只有一个实根.…………………………15分