10.△ABC的外接圓圓心為O.且.則∠C等于A.45° B.60° C.75° D.90° 查看更多

 

題目列表(包括答案和解析)

ABC公司對(duì)年度最佳員工進(jìn)行獎(jiǎng)勵(lì):選擇自己想去的城市,進(jìn)行一趟開(kāi)心之旅。Peter, Penny, Catherine, Helen和Lee被評(píng)為了年度最佳員工,他們正在挑選自己想去的城市。閱讀下面旅行社提供的城市旅游介紹摘要(A、B、C、D、E和F),選出適合他們的最佳城市,并在答題紙上相應(yīng)選項(xiàng)的標(biāo)號(hào)涂黑。選項(xiàng)中有一項(xiàng)是多余選項(xiàng)。

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(親切的)— 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(寵壞的) 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(消極的) 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(同齡人) ," 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(嬰兒死亡率) 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(學(xué)術(shù)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(俚語(yǔ))—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(標(biāo)點(diǎn)) 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’ (保護(hù)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 (剝奪) 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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第一節(jié) 完形填空(共10小題;每小題2分,滿分20分)

閱讀下面短文,掌握其大意,然后從21-30各題所給的ABC和D項(xiàng)中,選出最佳選項(xiàng).

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 (學(xué)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)設(shè)拋物線,將(2,2)代入,得p=1. …………4分

∴y2=2x為所求的拋物線的方程.………………………………………………………5分

(2)聯(lián)立 消去y,得到. ………………………………7分

設(shè)AB的中點(diǎn)為,則

∴ 點(diǎn)到準(zhǔn)線l的距離.…………………………………9分

,…………………………11分

,故以AB為直徑的圓與準(zhǔn)線l相切.…………………… 12分

(注:本題第(2)也可用拋物線的定義法證明)

18.解:(1)在△ACF中,,即.………………………………5分

.又,∴.…………………… 7分

(2)

. ……………………………14分

(注:用坐標(biāo)法證明,同樣給分)

19.

解法一:(1)連OM,作OH⊥SM于H.

∵SM為斜高,∴M為BC的中點(diǎn),∴BC⊥OM.

∵BC⊥SM,∴BC⊥平面SMO.

又OH⊥SM,∴OH⊥平面SBC.……… 2分

由題意,得

設(shè)SM=x,

,解之,即.………………… 5分

(2)設(shè)面EBC∩SD=F,取AD中點(diǎn)N,連SN,設(shè)SN∩EF=Q.

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

又AD⊥SN,AD⊥NM,AD⊥面SMN.

從而EF⊥面SMN,∴EF⊥QS,且EF⊥QM.

∴∠SQM為所求二面角的平面角,記為α.……… 7分

由平幾知識(shí),得

,∴

,即所求二面角為. ……………… 10分

(3)存在一點(diǎn)P,使得OP⊥平面EBC.取SD的中點(diǎn)F,連FC,可得梯形EFCB,

取AD的中點(diǎn)G,連SG,GM,得等腰三角形SGM,O為GM的中點(diǎn),

設(shè)SG∩EF=H,則H是EF的中點(diǎn).

連HM,則HM為平面EFCB與平面SGM的交線.

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

在平面SGM中,過(guò)O作OQ⊥HM,由兩平面垂直的性質(zhì),可知OQ⊥平面EFCB.

而OQ平面SOM,在平面SOM中,延長(zhǎng)OQ必與SM相交于一點(diǎn),

故存在一點(diǎn)P,使得OP⊥平面EBC. ……………………… 14分

     

    ∵底面邊長(zhǎng)為1,∴,

    ,

    .    ……………… 1分

    設(shè),

    平面SBC的一個(gè)法向量,

    ∴y=2h,n=(0,2h,1).… 3分

    =(0,1,0),由題意,得.解得

    ∴斜高. …………………………………………………… 5分

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

    由對(duì)稱性,面SAD的一個(gè)法向量為n1. ………………………………6分

    設(shè)平面EBC的一個(gè)法向量n2=(x,y,1),由

    ,,得

     解得.………………… 8分

    設(shè)所求的銳二面角為α,則

    ,∴.…………… 10分

    (3)存在滿足題意的點(diǎn).證明如下:

    . ………………………… 11分

    ,令與n2共線,則. ……………… 13分

    .故存在P∈SM,使OP⊥面EBC.……………………… 14分

    20. 解:(1)當(dāng)n為奇數(shù)時(shí),an≥a,于是,. ………………3分

             當(dāng)n為偶數(shù)時(shí),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的討論,扣1分)

     . ……………12分

    .……15分21.解:(1)∵,,∴,∴. 1分

    ,即,∴. …3分

    ①當(dāng),即時(shí),上式不成立.………………………………………………4分

    ②當(dāng),即時(shí),.由條件,得到

    ,解得. ……………………………………………5分

    ,解得.…………………………………………6分

     m的取值范圍是. ………………………………………7分

    (2)有一個(gè)實(shí)根.………………………………………………………………………………9分

    ,即

    ,則

    ,. ………………………10分

     △>0,故有相異兩實(shí)根

    ,∴ 顯然,

    ,∴,∴. …………12分

    于是

                        

    為三次函數(shù)的極小值點(diǎn),故與x軸只有一個(gè)交點(diǎn).

    ∴  方程只有一個(gè)實(shí)根.…………………………15分


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