2011年黑龙江大庆中考数学、英语试题.doc

2011年黑龙江省大庆市中考数学试题一、选择题（本大题共10小题，每小题3分，共30分。）1与互为倒数的是 （ ）A.-2 B- C D22用科学记数法表示数5.810-5，它应该等于 （ ）A.0.005 8 B0.000 58 C.0.000 058 D0.O00 005 83对任意实数a，则下列等式一定成立的是 ( )A B C DlrBOlrCOlrDOlrAO（第4题）4若一个圆锥的侧面积是10，则下列图象中表示这个圆锥母线与底面半径r之间的函数关系的是 ( )5若a+b0，且b0，贝a，b，-a，-b的大小关系为 （ ）A.-a-bba B-ab-ba C. -aba-b Db-a-ba6某商场为促销开展抽奖活动，让顾客转动一次转盘，当转盘停止后，只有指针指向阴影区域时，顾客才能获得奖品，下列有四个大小相同的转盘可供选择，使顾客获得奖品可能性最大的是 （ ）7已知平面直角坐标系中两点 (-1，O)、B(1，2)连接AB，平移线段A8得到线段 ，若点A的对应点的坐标为(2，一1)，则B的对应点B1的坐标为 （ ）A.(4，3) B(4，1) C(一2，3 ) D(一2，1)8如图所示，某宾馆大厅要铺圆环形的地毯，工人师傅只测量了与小圆相切的大圆的弦AB的长，就计算出了圆环的面积。若测量得AB的长为20米，则圆环的面积为 ( )A10平方米 B10平方米 C100平方米 D100平方米9已知a、b、c是ABC的三边长，且满足，则的形状是 ( )A等腰三角形 B直角三角形 C等腰三角形或直角三角形 D等腰直角三角形10已知0的半径为l，圆心0 到直线l的距离为2，过上任一点A作0的切线，切点为B，则线段AB长度的最小值为 ( )A1 B C D2二、填空题（本大题共8小题，每小题3分，共24分）11计算：sin2 30+cos2 30-2tan245=_ .12根据以下等式：，对于正整数n (n4)，猜想：l+2+(n一1)+ n+(n一l)+2+1= .13.已知，则 .14.已知不等式组的解集是，则的值等于 .15随着电子技术的发展，手机价格不断降低，某品牌手机按原价降低元后，又降低20，此时售价为n元，则该手机原价为 元16如图，已知点A(1，1)，B(3，2)，且P为x轴上一动点，则ABP周长的最小值为 .17由几个相同小正方体搭成的几何体的主视图与左视图如图所示，则该几何体最少由 个小正方体搭成18在四边形ABCD中，已知ABC是等边三角形，ADC=300，AD=3，BD=5，则边CD的长为 .三、解答题（本大题共10小题，共66分）19（本题4分）计算：20.（本题5分）已知、满足方程组，先将化简，再求值。21（本题6分）如图所示，一艘轮船以30海里小时的速度向正北方向航行，在A处测得灯塔C在北偏西300方向，轮船航行2小时后到达B处，在B处时测得灯塔C在北偏西450方向当轮船到达灯塔C的正东方向的D处时，求此时轮船与灯塔C的距离（第21题）（结果精确到01海里，参考数据，) 22（本题6分）小明参观上海世博会，由于仅有一天的时间，他上午从A一中国馆，B一日本馆，C一美国馆中任选一处参观，下午从D一韩国馆，E一英国馆，F一德国馆中任选一处参观（1）请用画树状图或列表的方法，表示小明所有可能的参观方式(用字母表示)；（2）求小明上午或下午至少参观一个亚洲国家馆的概率.23. （本题7分）如图所示，制作一种产品的同时，需将原材料加热，设该材料温度为y，从加热开始计算的时间为x分钟据了解，该材料在加热过程中温度y与时间x成一次函数关系。已知该材料在加热前的温度为l5，加热5分钟使材料温度达到60时停止加热，停止加热后，材料温度逐渐下降，这时温度y与时问x成反比例函数关系 (1)分别求出该材料加热和停止加热过程中y与x的函数关系(要写出x的取值范); (2)根据工艺要求，在材料温度不低于30的这段时间内，需要对该材料进行特殊处理，那么对该材料进行特殊处理所用的时间为多少分钟?(第23题)x24（本题7分）某商店购进一批单价为8元的商品，如果按每件l0元出售，那么每天可销售100件。经调查发现，这种商品的销售单价每提高l元，其销售量相应减少l0件将销售价定为多少，才能使每天所获销售利润最大？最大利润是多少？25（本题7分）如图，是一张边长为，边长为的矩形纸片，沿过点的折痕将角翻折，使得点落在边上的点处，折痕交边于点.(1)求的大小；(2)求的面积. 26（本题7分）甲、乙两学校都选派相同人数的学生参加数学竞赛，比赛结束后，发现每名参赛学生的成绩都是70分、80分、90分、l00分这四种成绩中的一种，并且甲、乙两校的学生获得100分的人数也相等根据甲学校学生成绩的条形统计图和乙学校学生成绩的扇形统汁图回答下列问题 （1）求甲学校学生获得100分的人数；（2）分别求出甲、乙两学校学生这次数学竞赛所得分数的中位数和平均数，以此比较哪个学生这次数学竞赛成绩更好些 27.（本题9分）如图，的两直角边边长为4，边长为3，它的内切圆为0，0与边、分别相切于点、，延长交斜边于点(1)求的半径长；(2)求线段的长28（本题8分）二次函数：图象顶点的纵坐标不大于.(1)求该二次函数图象顶点的横坐标的取值范围；(2)若该二次函数图象与轴交于、两点，求线段长度的最小值2011年大庆市初中升学统一考试数学试题参考答案及评分标准一、选择题(每小题3分，共30分)题号 1 2 3 4 5 6 7 8 9 10答案 D C D D B A B D Cm C二、填空题(每小题3分，共24分)11； l2n2； 132； l4-6；15； 16.； l74； 184三、解答题（共66分）19解：原式3分4分20.解：由的解是.2分则4分.5分21.解：设在中，得1分又因为，所以在中，所以，即3分解得4分得(海里)5分所以当轮船到达灯塔的正东方向的处时，轮船与灯塔的距离为海里。6分22解：（1）树状图：ABC开始D E F D E F D E F上午下午列表： 下午 上午DEF A(A，D)（A，E）（A，F）B（B，D）（B，E）（B，F）C（C，D）（C，E）（C，F）3分(注：只用树状图或只用列表答对都得3分) (2)从第(1)问的树状图或表格可以看出，小明可能选择参观方式共有9种，而小明上午或下午至少参观一个亚洲国家馆的方式有7种5分 所以小明上午和下午至少参观一个亚洲国家馆的概率是6分 23解：（1）设加热过程中一次函数表达式为该函数图像经过点，即 解得所以一次函数表达式为2分设加热停止后反比例函数表达式为，该函数图像经过点，即，得所以反比例函数表达式为4分（2）由题意得： 解得； 解得6分则所以对该材料进行特殊处理所用的时间为分钟。7分24.解：设销售单价定为元（），每天所获利润为元1分则3分4分5分所以将销售定价定为元时，每天所获利润最大，且最大利润是元。7分25.解：（1）由于则在中， 得1分又，所以2分（2）解：设，则在中，即 得5分在中，所以 7分26.解：（1）设甲学校学生获得100分的人数为 由于甲、乙两学校参加数学竞赛的学生人数相等，且获得100分的人数也相等，则由 甲、乙学校学生成绩的统计图得 得 所以甲学校学生获得100分人数有2人。2分分数708090100人数2352（2）由（1）可知：甲学校的学生得分与相应人数为分数708090100人数3432乙学校的学生得分与相应人数为从而甲学校学生分数的中位数为90分3分甲学校学生分数的平均数为甲4分乙6分由于甲学校学生分数的中位数和平均数都大于乙学校学生分数的中位数和平均数，所以甲学校学生的数学竞赛成绩较好。7分27.解：（1）设的半径为，由已知，且则 所以同理，1分又则四边形为正方形，得2分在中，由 得由3分即 得 所以的半径长为 4分（2）延长到点,使 得 5分又是的平分线，则从而所以 6分得7分又8分所以 9分28.（1）由于图象顶点的纵坐标为1分则 得所以该二次函数图像顶点的横坐标的取值范围是不小于33分（2）设则、是方程的两个根得4分从而6分由（1）可知7分由于当时，随着的增大，也随着增大所以当时，线段的长度的最小值为8分（注：本题使用一元二次方程根于系数的关系答题也可以）2011黑龙江大庆市中考英语试题第一部分 听力测试(共计25分). Listening(本题共20小题，Part Two每小题2分，Part Three每小题1分，共25分)Part One Choose right picture according to the dialogue you hear.Part Two Match the best choice from A to G according to the dialogue you hear.( ) 1. What are they talking about? ( ) 2. Who is more interested in it? ( ) 3. What can visitors do in the ( ) 4. When are they going into the museum? ( ) 5. How much will they each pay for the ticket? A. 30 yuan. B. Right now. C. Work things out and try out ideas. D. 20 yuan. E. Mary. museum? F. Visiting Hong Kong Science Museum. G. After they have some bread for lunch.Part Three Choose the right answer according to the dialogues or passage you hear.听第1段材料，回答第1-2题。( ) 1. What kind of job does the woman want to get?A. As a manager. B. As a singer. C. As an interviewer.( ) 2. When can the woman get the answer?A.In two months. B. Right now. C. In 20 minutes.听第2段材料，回答第3-5题。( ) 3. What is the woman worried about?A. The milk is too expensive.B. There is no milk at home now.C. The milk is not safe enough.( ) 4. What does the man think about the food safety problem?A. Its not safe to live in the city.B. The problem is serious.C. The food is safe.( ) 5. Where did the woman see the picture of the shining pork?A. Online. B. In a newspaper. C. On TV.听第3段材料，回答第6-10题。( ) 6. When did the story happen?A. Last Monday. B. Last Friday. C. Last month.( ) 7. Why do a lot of buildings have places for shoes in Japan?A. Because people want to share shoes with others.B. Because people dont usually wear their shoes in the house. C. Because people like to compare their shoes with others.( ) 8. Where did Tina put her shoes before she went into the classroom?A. Outside the room.B. In the shoe box.C. In a shopping bag.( ) 9. How did she feel when she found somebody elses shoes left there?A. She felt angry. B. She felt happy. C. She felt surprised.( ) 10. How did Tina get her shoes back?A. Somebody put them in a shopping bag on her desk at her next English class.B. She tried to find out the owner of that pair of shoes and took back her own shoes.C. She told the headmaster about it and the headmaster found her shoes back.第二部分 笔试(共95分)第一节 选择题(共55分). Multiple Choice(本题共15小题，每题1分，共15分)Choose the best answer according to the meaning of the sentence.( 2011大庆) 1. Learning_ countrys language is a better way knowing _culturebehind it.A. the; a B. a; the C. /; the D. a; /答案：B( 2011大庆) 2. The price of the iphone4 is too_. Fm afraid I cant afford it.A. high B. expensive C. cheap D. low答案：B( 2011大庆) 3. The _you eat, the _you will be.A. more healthily; more healthilyB. more healthily; healthierC. healthier; healthierD. healthier; more healthily答案：B( 2011大庆) 4. - Congratulations! Youve got the first prize in the English Contest.-_ it be true? Its unbelievable!A. May B. Should C. Must D. Can答案：D( 2011大庆) 5. - Hurry up, _you will miss the school bus.- I know that, Mum. Ill be ready in a minute.A. or B. and C. nor D. but答案：A( 2011大庆) 6. Tom did all _he could to get on well _his classmates.A. which; with B. that; / C. that; with D. /; /答案：C( 2011大庆) 7. - When will you come to Daqing?- I will call you _I arrive.A. till B. whileC. as quickly as D. as soon as答案：D( 2011大庆) 8. These cabbages _ well because they _nice.A. look, sell B. sell, are lookedC. sell, look D. are sold, look答案：C( 2011大庆) 9. The thief was noticed _the office building by the back door on the screen.A. enter B. enter intoC. to enter D. to enter into答案：C( 2011大庆) 10-_useful information youve told us!A. What B. What aC. What an D. How答案：A高考押题提问有礼投稿赚钱/A学习小组/A在线充值/A网上兼职-( 2011大庆) 11. - Did you hear any strange _when the quake happened?- No, I was in my garden with my flowers and was enjoying the beautiful _of my birds at that time.A. voice; noise B. noise; soundC. whisper; sound D. sound; voice答案：D( 2011大庆) 12. - Its already Monday. Sam lost his MP4 last Wednesday and he hasnt found it.- Really? Do you mean_?A. did Sam lose his MP4 five days agoB. Sam lost his MP4 for five daysC. its five days since Sam lost his MP4D. has Sam lost his MP4 for five days答案：C( 2011大庆) 13. I dont like _of the sweaters. Please show me a third one.A. both B. either C. one D. all答案：B( 2011大庆) 14. - Jack, would you mind if I use your ipad?A. Of course not, go aheadB. Yes, pleaseC. Of course, do as you likeD. No, youd better not答案：A( 2011大庆) 15. Please check your paper to_ there are no mistakes.A.think of B. try out C. find out D. make sure答案：D( 2011大庆) III. Close Test (本题共10小题，每小题1分，共10分)Choose the best answer to complete the passage.A little old man and his wife walked slowly into McDonalds 16 a cold-winter evening. They took a table near the back wall, and then the little old man walked to the cash register (收银处)to order. After a while he got the food back and they began to 17 it.There was one hamburger, some French fries and one drink. The little old man carefully cut the hamburger into halves and 18 the French fries in two piles. Then he neatly put the 19 of the food in front of his wife. He took a sip of the drink and his wife took a sip. How20 the old people are! The people around them thought.21 the man began to eat his hamburger and his French fries, his wife sat there 22 him and took turns to drink. 23 young man came over and offered to buy another meal for them. But they refused 24 and said that they got used to 25 everything.Then a young lady asked the little old lady a question. Madam, why arent you eating? You said that you shared everything. Then what are you waiting for? She answered, The teeth.”( ) 16. A. for B. at C. in D. on( )17. A. eat B. taste C open D. try( )18. A. divided B. placedC. changed D. cut( )19. A. half B. bit C. pieceD. pair( )20. A. clever B. foolish C. old D. poor( )21. A. Because B. As C. So D. Before( )22. A. keeping B. watchingC. seeing D. holding( )23. A. Another B. The otherC. Other D. A( )24. A. delightedly B. carefullyC. politely D. angrily( )25. A. share B. sharingC. enjoy D. enjoying答案：16-20 DADCD 21-25 BCDCB( 2011大庆) IV. Communication (本题共5小题，每小题1分，共5分)Choose the best answer from A to F in the box according to the sentence given.( )26. How long have you felt like this?( ) 27. What are you up to?( )28. How was your holiday?( ) 29. Can I help you?( )30. Lets make it 4:30.答案：26-30 BAFEC( 2011大庆) V. Reading Comprehension (本题共20小题，A、B、C每小题1分，D每小题2分，共25分)(A)US Boy, 9, Plans to Take Balloon Flight Alone ALBUQERQUE. New Mexico - Bobby Bradley is ready. He has been training for about five years and learned from some of the most experienced and decorated pilots in the sport of ballooning.BENGHAZI, Libya - Muammar Gadhafi accepted an African Union(AU) plan to end the Libyan civil war but the opposite said on Monday there could be no deal unless he leaves office.NEW YORK - A new book written by Amy Chua on her super-. strict parenting-Battle Hymn of the Tiger Mother has raised media (媒体) storm and strong arguments in the US. Amy Chua is the mother of two teenage girls. In the book she describes her efforts to give her children what she describes as a traditional, strict Chinese way of bringing up children.TOKYO - The operator of Japans quake-hit nuclear plant( 受地震袭击的核电站) said on Sunday it aims to reduce radiation leaks(辐射泄漏) in three months and achieve a cold shutdown in six to nine months.LOS ANGELES - Sunday night, the 83 annual (每年一度的) Academy Awards took place in Los Angeles. Colin Firth won the Best Actor for his role in The Kings Speech”, and Natalie Port man won the Best Actress Oscar for her role in Black Swan.Judge the following sentences True (T) or False (F).( ) 31. A 9-year-old American boy is ready to take a balloon flight on his own after training for about five years.( ) 32. Gadhafi agreed to end the Libyan civil war but the opposite wouldnt accept it if he leaves office.( ) 33. Tiger Mother parenting raises media storm in the US, but all people agree other traditional, strict Chinese way of bringing up children.( ) 34. Japan tries to fix radiation leaks in 9 months.( ) 35. Natalie won the Best Actress Oscar for her role in The Kings Speech while Co?lin won the Best Actor for his role in Black Swan. 答案：31-35 TFFTF(B)( 2011大庆) Match Column I with Column II.( ) 36. If you are pleasant, ( ) 37. If you are honest, ( ) 38. If you are a believable person, ( )39.If you have self-control, ( ) 40. If you have a strong will, A. it is possible that you will not disturb people or let your weaknesses cause you trouble. B. it is possible that no difficulty can prevent you. C. it is possible that people like you, because you can cheer them up. D. it is possible that people telling lies around you wont feel comfortable. E. it is possible that people will believe in you and depend on you.答案：36-40 CDEAB( 2011大庆) (C)To prepare Chinese students for the world, and international students for China Our Special Program One of the earliest MBA programs in China IMBA program One of the largest business administration (管理)schoolmate networks in China Colorful courses taught by famous teachers Effective learning to put theories (理论) in management and practice together Four Course Areas Marketing Enterprise Strategy(企业策略) and Culture Human Resource(资源) International Management Program Choices International MBA (English) Full-time MBA (Chinese) Part-time MBA( Chinese) Address; Room 0614, School of Business, Renmin University of China, 59 Zhongguancun Avenue, Beijing, 100872, CHINA Email: imba mc. edu. cn Telephone; +8610 62514665 Fax: +8610 82509167 For more information, please visit www. rbs. org. cn/mba/enStudy in the UK at Castle College Nottingham SPIIPP Pre-Masters( 硕士预备班) (September and January start) A one year course with a promise to enter Nottingham Trent University on successful completion Pre-Programme (September start) Preparation for A-Levels( 英国高级证书考试) or International Foundation Programmes ( Maths and Science) English as a Foreign Language Flexible(MtrrMj) start & finish dates Study from 8-36 weeks For further information: Email: minima. nguyen castlecollege. ac. ok Web: www. castlecollege. ac ok/internationalChoose the best answer according to the advertisements.( ) 41. One can choose all of the following programs in the IMBA program EXCEPTA. Full-time MBA (Chinese) B. Part-time MBA( Chinese)C. International MBA(English) D. Human Resource( ) 42. If John wants to prepare for his A-Levels, when can he start his study at Castle College Nottingham?A. Either September or January. B. September. C. January.D. Any time when he is free.( ) 43. Which of the following statements is TRUE?A. Students all over the world can choose to study the IMBA program.B. A student from Britain can enterCastle College Nottingham to study a foreign language.C. Li Ming, who will have a months vacation, can choose to study English at Castle College Nottingham.D. The MBA program is the earliest in China.( ) 44. Mr. Wu has the experience of management in a large company in China, so he can choose _to learn some theories.A. English as a Foreign LanguageB. Pre-Programme at Castle College NottinghamC. The IMBA programme at Renmin University of China, School of BusinessD. Castle College Nottingham( ) 45. As a Chinese, if you want to study abroad, you can email to _to get more information.A. www. castlecollege. ac. uk/internationalB. minhha. nguyen castlecollege. ac. ukC. www. rbs. org. cn/mfea/enD. imba rue. edu. cn答案：41-45 DBACB2011大庆) (D)Fashion isnt very environmentally-friendly because it makes people buy things they dont need, just because theyre new. We wa