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28. In societies where social roles are determined, boys usually copy the behavior of their fathers, and girls _____ of their mothers.

   A. that          B. those        C. one             D. the ones

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27. ______ next time! In the meantime, e-mail your particular application questions to our

 college e-mail address.

A.Continued         B.To be continued    C.Continuing    D.To continue

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26. --- Has Sam finished his homework today?

--- I have no idea. He _____ it this morning.

A. was doing           B. has done        C. did         D. had done

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Section A

Directions: Beneath each of the following sentences there are four choices marked A, B, C, and D. Choose the one answer that best completes the sentence.

25. Let’s learn to use the problem we are facing      a stepping-stone to future success.

   A. with          B. for        C. as       D. by

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Section A

Directions: In Section A, you will hear ten short conversations between two speakers. At the end of each conversation, a question will be asked about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.

l. A. 3:40.               B. 4:00.             C. 4:20.             D. 3:20.

2. A. He wants to get a new position.             B. He is asking the woman for help.

C. He has left the woman a good impression.      D. He enjoys letter writing.

3. A. At a newsstand.                         B. At a car dealer’s.   

C. At a newspaper office.                    D. At a publishing house.

4. A. The weather forecast says it will be fine.     

B. The weather doesn’t count in their plan. 

C. They will not do as planned in case of rain.       

D. They will postpone their programme if it rains.  

5. A. Joe collects rock’n roll records.                B. Joe runs a records’ shop.

 C. Joe produces records.                   D. Joe is a player of a band.

6. A. She’ll go to a movie.                    B. She’ll type a document.

C. She’ll visit the man.                   D. She’ll write a composition.

7. A. Teacher and student.                   B. Doctor and patient.

C. Customs official and passenger.            D. Shop assistant and customer.

8. A. Close the windows.                      B. Pack their clothes.

C. Lock the suitcase.                       D. Telephone for a taxi.

9. A. The woman.                           B. The woman’s mother.

C. The man.                             D. The children.

10. A. Satisfied.          B. Sorry.            C. Shocked.          D. Frightened.

Section B

Directions: In Section B, you will hear two short passages, and you will be asked three questions on each of the passages. The passages will be read twice, but the questions will be spoken only once. When you hear a question, read the four possible answers on your paper and decide which one would be the best answer to the question you have heard.

Questions 11 through 13 are based on the following passage

11. A. Visiting his teachers and doing shopping.     B. Collecting his pictures.          

C. Buying his flight ticket.                  D. Wandering about in the airport building.

12. A. Shirts.            B. Gloves.           C. Toys.             D. A clock.

13. A. He left his suitcase in the airport building.              

B. He couldn’t enjoy the beauty of the evening.

C. He was suspected as a terrorist and taken to an airline office.     

D. He intended to visit more teachers and buy more presents.

Questions 14 through 16 are based on the following instructions.

14. A. Teacher.           B. Policeman.        C. Seller.        D. Engineer.

15. A. To teach customers how to use a Protect Alarm.          

B. To tell customers who are their true friends.      

C. To telephone a round-the-clock service.

D. To advise customers to buy Protect Alarms.

16. A. Because your house is packed with valuable possessions.

  B. Because the crime rate is increasing.

  C. Because it is a new invention.

  D. Because it is cheaper and can be fixed easily and quickly.

Section C

Directions: In Section C, you will bear two longer conversations. The conversations will be read twice. After you hear each conversation, you are required to fill in the numbered blanks with the information you have heard. Write your answers on your answer sheet.

Blanks 17 through 20 are based on the following conversation.

Making a social arrangement
Place:              Laurence’s Home.
Time:              Next  17   night.
Something Roger has got planned:   To go to Scotland for a  18  .
Another time suggested:       The  19   week.
Something Roger should do:     To give Laurence a  20   in a week or so to arrange a time.

Complete the form.  Write ONE WORD for each answer.

Blanks 21 through 24 arc based on the following conversation.

Why didn’t the woman go to university?
She had to  21  .
What’s the occupation the woman has in a trade company? 
She is a  22  .
Why does the woman want a new job?
She wants to get   23  .
What should the woman do if she leaves the present job?
She must give  24  .

Complete the form.  Write NO MORE THAN THREE WORDS for each answer.

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22、(本小题满分14分)

   已知数列{an}中,a1=1,an+1=2an+n-1(n∈N*).

  (Ⅰ)证明:数列{an+n}是等比数列;

  (Ⅱ)记,求数列{bn}的前n项和Sn

   (Ⅲ)若对一切n∈N*恒成立,求非零实数t的取值范围.

自贡市普高2010级第二次诊断性考试数学试卷(文)

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21、(本小题满分12分)

  已知中心在原点的椭圆C过点M(1,),F(,0)是椭圆C的左焦点,P,Q是椭圆C上的两个动点,且|PF|,|MF|,|QF|成等差数列.

  (Ⅰ)求椭圆C的标准方程;

  (Ⅱ)求证:线段PQ的垂直平分线经过一个定点A.

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20、(本小题满分12分)

   已知函数f(x)=x3+bx2-3a2x(a≠0)在x=a处取得极值.

  (Ⅰ)用xa表示f(x);

  (Ⅱ)设函数g(x)=2x3-3af ′(x)-6a3,如果g(x)在区间(0,1)上存在极小值,求实数a的取值范围.

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19、(本小题满分12分)

  如图,在直三棱柱ABC-A1B1C1中,∠ACB=90°,2AC=AA1=BC=2.

  (Ⅰ)若D为AA1的中点,求证:平面B1CD⊥B1C1D;

  (Ⅱ)若二面角B1-DC-C1的大小为60°,求AD的长.

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18、(本小题满分12分)

   甲、乙两人进行某项对抗性游戏,采用“七局四胜制”即先赢四局者胜,若甲、乙两人水平相同,且已知甲先赢了前两局.

  (Ⅰ)求乙取胜的概率;

  (Ⅱ)求比赛进行完七局的概率.

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