20090327

   （1）求p的值；

   （2）过该抛物线的焦点作两条互相垂直的直线l₁，l₂，与抛物线相交得两条弦，两条弦

的中点分别为G，H.求｜GH｜的最小值．

_{【解析】：}22．解：（Ⅰ）设，

因为抛物线的焦点，

则.……………………………1分

，………2分

，而点A在抛物线上，

.……………………………………4分

又故所求抛物线的方程为.6分

（2）由，得，显然直线，的斜率都存在且都不为0.

设的方程为，则的方程为.

    由 得，同理可得.……………8分

则

=.（当且仅当时取等号）

所以的最小值是8.……………………………………12分

6.【河南省普通高中2009年高中毕业班教学质量调研考试（理）22.】（本小题满分12分）

已知数列满足

（1）求；

（2）已知存在实数，使为公差为的等差数列，求的值；

（3）记，数列的前项和为，求证：.

_{【解析】：}22．解：（1），由数列的递推公式得

，，.……………………………………………………3分

（2）

=

==.……………………5分

_{2009年河北省中考仿真模拟（三）}

英 语 试 卷

注意事项：1、本卷共8页，总分120分，考试时间120分钟。

          2、答题前请将密封线左侧的项目填写清楚。

          3、答案请用蓝、黑色钢笔或圆珠笔填写。

题号

I

II

III

IV

V

VI

VII

VIII

IX

X

XI

总分

得分

卷I（选择题  共85分）

听力部分（第一节）

I. 听句子，选出句子中所包含的信息。(共5小题，每小题1分，计5分)

(   )1. A. brought             B. bought              C. thought

(   )2. A. go skiing            B. go swimming        C. go fishing

(   )3. A.498540226           B.485940262           C.495804262

(   )4. A. My father is in good health.           B. My father doesn’t care about my health.

C. My father only cares about my health.

(   )5. A. Jim doesn’t play tennis so well as you. B. Jim plays tennis as well as you.  

C. Jim plays tennis much better than you.

II. 听句子，选择最佳答语。(共5小题，每小题1分，计5分)

(   )6. A. Non-smoking, please. B. Sorry, you can’t smoke here. C. No, thanks. I don’t smoke.

(   )7. A. No, it’s not nice.     B. Thank you.              C. It’s very expensive.

(   )8. A. Sorry, I don’t know.       B. Certainly. Good idea.  C. Sure. No problem.

(   )9. A. Yes ,it’s a big trouble.      B. I’m having a bad cold. C. Not at all.

(   )10. A. Stop working and take a break. B. That’s true.       C. I’m sorry.

III. 听对话和问题，选择适当的选项。(共5小题，每小题1分，计5分)

(   )11. How is the boy feeling now?

A. Thirsty.          B. Hungry.                C. Sleepy.

(   )12. What’s Uncle Green’s house like?

A. It’s big but old.    B. It’s new and wonderful.    C. It’s old with a big garden.

(   )13. What does the boy mean?

A. The girl can borrow one from the teacher.        B. Maybe Lynn took it.   

C. The teacher took it.

(   )14. What did the boy do last night?

A．                       B．                  C．

(   )15. Which picture is right?

A．                       B．                  C．

IV. 听语段、对话和问题，选择正确答案。(共10小题，每小题1分，计10分)

(   )16.Where did the dialogue happen?

A. In a boat.                 B. In Tom’s home.        C. In Sally’s home.

---------------------------------------------------------------------------------------------------------------- (   )17. What subject is too difficult for him?

 A. Math.                    B.  Science.            C. Chinese.

(   )18. How old is his Chinese teacher?

       A. She is forty.               B. She is about thirty.     C. She is fifty.   

---------------------------------------------------------------------------------------------------------------- (   )19.Where is the man going?

       A. The Children’s Palace.      B. The Children’s Center.   C. A hospital.

(   )20. What is the girl going to do this Sunday afternoon?

       A. To see her mother’s nephew.  B. To see Mary’s nephew.  C. To take care of Tom.

---------------------------------------------------------------------------------------------------------------- (   ) 21. Who gives the man the menu？

        A. The waiter.           B. The waitress.             C. The host.

(   ) 22. What does the man have?

        A. A regular dinner.       B. Some chicken dishes.      C. Only coffee.

(   ) 23. Where can you find the regular dinner in the menu？ 

        A. On the left-hand page.   B. On the right-hand page.    C. On the first page.

(   ) 24. What does the regular dinner include?

        A. Soup and salad.        B. Dessert, tea or coffee.      C. All of the above.

(   ) 25. Which dish does the waitress recommend (推荐)?

        A. The roast beef.         B. The salad.               C. The dessert.

笔试部分

V. 单项选择 (共20小题，每小题1分，计20分)  

(   )26. Miss Wang is a friend of______.

        A. Tom’s mother’s   B. mother of Tom   C. Tom mother’s    D. Tom mother

(   )27. ―Do you like talking with your friends on the telephone or mobile phone?

       ―______. I like using QQ.

A. Either           B. Neither         C. Both           D. None

(   )28. ―How many people came to Beijing for the 2008 Olympic Games? 

        ―Well, it’s hard to say. Er, ___ them, I think.

   A. million of        B. ten millions      C. ten millions of   D. millions of

(   )29. The boy and the tree _____ he is drawing makes a beautiful scenery（风景）.

        A. who            B. whose           C. that           D. Which

(   )30.―Would you like______?

―Thank you. But I’m not thirsty.

A. any dumplings    B. some bread      C. some egg       D. some coffee

(   )31. I have three pen friends. One is ____, the other two are _____.

        A. Japanese, America                   B. Russian, Germany 

        C. Canada, Australia                    D. English, Frenchmen

(   )32. ―When did you come to China? ―_______ 1990.

        A. From           B. Since            C. In            D. To

(   )33. We must thank him. _____ good news he gave us!

        A. How a         B. How           C. What a        D. What

(   )34. ―May we play football in the street? 

       ―No, you ____. It’s dangerous.

        A. can            B. mustn’t         C. may           D. needn’t

(   )35. ―Will your younger brother go for a picnic this weekend?

       ―If I don’t go, ____.  

        A. so does he       B. so he will       C. neither will he  D. neither does he

(   )36. The Chens ___ here for years.

        A. has lived        B. have lived       C. lives          D. is living

(   )37. Tim with his patents _______the Great Wall if it______tomorrow.

A. is going to; won’t rain               B. are going to; won’t rainy  

C. are going to; isn’t rainy              D. is going to; isn’t rainy

(   )38. Lucy is often made ____for twelve hours a day by the boss.

A. work           B. to be working    C. to work       D. working

(   )39. He is ______university student and he comes from_____island in England.

        A. an; an          B. an; a            C. a; a          D. a; an

(   )40. _____he is, ______he feels.  

        A. Busier; happier                     B. The busier; the happier  

  C. The busy; the happy                 D. Busiest; happiest

(   )41. ―Do you know _____ I could pass the exam?

       ―Sorry, I’ve no idea.

        A. that           B. whether         C. what          D. which 

(   )42. Our teacher said that light ______ much faster than sound.

        A. travel         B. travels           C. traveled       D. traveling

(   )43. ―I’m taking my English test tomorrow.

       ―_______.

        A. Come on       B. Congratulations   C. Well done     D. Good luck

(   )44. Few of them hurt themselves in the accident yesterday, ______?

A. don’t they      B. didn’t they       C. did they       D. do they

(   )45. She doesn’t know______.

        A. to take which step                  B. which to take step

    C. which step to take                  D. which take step

VI. 完形填空 (共10小题，每小题1分，计10分)

Dear Dad,

    Happy birthday to you!

    On this special day I’d like to talk to you   46   a special way.

    I don’t think I’m good at   47   you my thought face to face with you, so I’m writing to show my deep love for you.

    You’re not a rich man or a famous person. But in my heart, you are one of the greatest   48   in the world. I’m   49   you.

    You’re  50   interested in fame and wealth. You do  51  things like paying phone bills on time, and working as a worker in your factory. The smile on your face shows you’re pleased with the family. You take good care of my grandparents. You help me with my schoolwork and do some shopping with Mom on Sundays.

In the past, I didn’t care  52  you were with me or not. Now I am sorry to say I  53  you the respect before. But I am thankful for what you have done for me.

I am quite lucky that I have  54  a great father. And I feel happy that now I can let you

  55  how much I love you. You are successful as a son, a husband, a father, and a friend.

    Wish you happy forever!

                                                        Yours,

                                                         Steven

(   )46. A. in             B. at            C. by             D. on

(   )47. A. talking         B. telling        C. speaking        D. saying

(   )48. A. businessmen    B. man          C. men            D. worker

(   )49. A. worried about   B. proud of       C. afraid of        D. sorry for

(   )50. A. always         B. ever          C. already         D. never

(   )51. A. ordinary        B. interesting     C. wonderful       D. popular

(   )52. A. whether        B. that           C. what           D. where

(   )53. A. will show       B. don’t show     C. didn’t show     D. have shown

(   )54. A. too            B. so             C. very          D. such

(   )55. A. to know        B. know          C. knew          D. knowing

VII. 阅读理解。 (共15小题，每小题2分，计30分)

    阅读A、B、C三篇材料，然后从各小题所给出的四个选项中选出最佳选项。

A

Many years ago when people had no thermometers, they usually touched a thing to see how hot or cold it was. The following experiment shows how easy it was to make a mistake.

Take three glasses: the first one with very hot water, the second one with very cold water, and the third one with water at room temperature. Then you put a finger of one hand in the hot water, and a finger of the other hand in the cold water. You hold your fingers in the two glasses for a minute. Then you use each finger, one after another, to see how hot or cold the water in the third glass is. You will find that the water is warm to the finger that was in the cold water before, but the finger which was in the hot water will feel cold in the same glass of water.

That is why you must always find the temperature in a scientific way. You must not try to tell the temperature as it seems to you.

You will often make a mistake if you take something that seems to you for a real fact. For example, when you are going to an amusement park by bus and you want to go there very quickly, it seems to you that your bus is going very slowly, slower than the other buses. But if it is Sunday and you have much free time, it seems to you all the buses and cars are going very fast.

(   )56. The experiment tells us that it is______to make a mistake.

        A. interesting          B. difficult          C. easy          D. helpful

(   )57. The water in the third glass is_______.

        A. colder than the water in the first glass    B. hotter than the water in the first glass

C. colder than the water in the second glass  D. as cold as the water in the second glass

(   )58. What will you find if you put the finger which was in the first glass into the second glass according to the passage?

        A. The water is hotter than it is in the first glass.                        

B. The water is at room temperature.

        C. The water is as hot as it is in the first glass.                            

D. The water is colder than it is in the first glass.

(   )59. How should we find the temperature according to the passage?

        A. Try to tell as it seems to us.       

B. Try to use our fingers.

        C. Try to tell in a scientific way.

        D. Try to touch something to see how hot it is.

(   )60.We can learn something about ______from the passage.

        A. physics      B. chemistry    C. psychology (心理学)  D. biology（生物学）

B