2013年黄高预录模拟试题二

黄高预录数学模拟试题（二）一、选择题（5′×5=25′）1、若x =） A 、12 B 、1C、2D2、已知在△ABC 中，∠A ＞∠B ＞∠C ，且∠A 的度数是∠C 的度数的5倍，那么∠B 的取值范围是（ ）A 、180900711<B <°°B 、360900711<B <°°C 、1801080711<B <°°D 、3601080711<B <°°3、如图，直线1234l l l l ，相邻两条平行线间的距离都等于h ，若正方形ABCD 的四个顶点分别在四条直线上，则它的面积等于（ ） A 、24h B 、25h C、2D、24、已知实数a 、b 分别满足424230a a --=和4230b b +-=，则代数式4444a b a +的值等于（ ） A 、175 B 、55C 、13D 、75、已知A （11,3a ）、B （11,4b ）、C （11,5c）满足13a b c =+、 12b a c =+，则A 、B 、C 三点的位置适合（ ） A 、在同一直线上 B 、组成锐角三角形 C 、组成直角三角形D 、组成钝角三角形二、填空题（5′×5＝25′）6、若关于x 的的不等式组x x ⎧⎨⎩≥+2<3-2a a 有解，则函数21(3)4y a x x =---的图象与x 轴的交点个数为________________.7、如图，已知∠BAD=∠DAC= 9°,A D ⊥DE,且AB+AC=BE ，则∠B= .8、若反比例函数ky x=的图象与一次函数y ax b =+的图象交于点A (-2，m ), B (5，n ),则3a b +的值为 .9、已知△ABC 的三边长分别为AB=13，BC=5，CA=12，CT 是∠ACB 的内角平分线，△ABC 关于直线CT 的对称图形是△A 1B 1C 1，△ABC 和△A 1B 1C 1的公共部分的面积是mn，,m n 是互质的正整数，则m n += .10、不等式226x x a +-≥对于一切实数x 都成立，则实数a 的最大值为 .三、解答题（10′+15′×4＝70′）11、如图，在△ABC 中，AC=7，BC=4，D 为AB 的中点，E 为AC 边上的一点，且∠AED=1902+゜∠C ，求CE 的长. （10′）ACDBEl 1 l 2l 3412、已知t 是一元二次方程210x x --=的一个根，对任意有理数a ，有理数b 、c 满足(1)()1at bt c ++=.（15′）⑴求b 和c （用含a 的代数式表示）⑵是否存在这样的有理数a ，使得b 或c 中至少有一个等于12008？若存在，求出这样的a 值；若不存在，说明理由.13、如图，△ABC 内接于⊙O ，AB=AC ，过C 作CD//AB 交⊙O 于点D ，过D 作DE ⊥AB 于E ，且CD=DE. （15′） ⑴求证：AD 2 =2AE ·AB⑵若△ABC 的面积为50，求△ACD 的面积AD14、设二次函数2(y ax bx c a =++>0,b >0 )的图象经过12(0,),(1,)y y 和3(1,)y -三点，且满足2221231y y y ===.（15′） ⑴求这个二次函数的解析式；⑵设这个二次函数的图象与x 轴的两个交点为A 1(,0)x ，B 2(,0)x ，12x x <，C 为顶点，连接AC 、BC ，动点P 从A 点出发沿折线ACB 运动，求△APB 面积的最大值. ⑶当点P 在折线ACB 上运动时，是否存在点P ，使△APB 的外接圆的圆心在x 轴上？请说明理由.15、观察按下列规律排成一列数：（15′）11，12，21，13，22，31，14，23，32，41，15，24，33，42，51，16，…（※） ⑴在（※）中，从左起第m 个数记为F （m ），当F （m ）=22001时，求m 的值和这m个数的积.⑵在（※）中，未经约分且分母为2 的数记为c ，它后面的数记为d ,是否存在这样的两个数c 和d ,使c d =2001000，如果存在，求出c 和d ；如果不存在，请说明理由.。

2013高考模拟题（二）一、单项填空（共15小题，每小题1分，满分15分） 1. ―Why do you suggest visit to Yangzhou？―I believe beauty of nature there will give you much impression.A. a； the； aB. a； the； /C. /； a； theD. the； /； the2. to go out alone by the doctor， the old man had to go fora walk with his son following him.A. Warning notB. Not warningC. Not warnedD. Warned not3. It was in the building was built as a school by the villagers he finished his primary school.A. that； whichB. which； whichC. which； thatD. where； that4. ―Can I help you？―Id like to buy a present for my fathers birthday， at a proper price but of good use.A. itB. thatC. whichD. one5. Great changes have taken place in our school. It is no longer it was 30 years， it was so poorly equipped.A. what； thatB. what； whenC. what； whichD. when； what6. a fine day， rather than at home， I preferred .A. It being； stay； to travelB. Being； to stay； to travelC. Having been； stay； travelD. It was； to say； to travel7. His health under the pressure of work and had to stay fora month.A. broke up； in the hospitalB. broke up； in hospitalC. broke down， in the hospitalD. broke down； in hospital8. blood if you can and many lives will be saved.A. GivingB. GivenC. GiveD. To give9. ―How did you find your visit to the exhibition， Tom？A. By taxiB. Oh， wonderful， indeedC. I went there with my close friendsD. An old man showed me the way10. A person of great usually can achieve his goals.A. instructionB. informationC. reputationD. determination11. They have finished the work； otherwise， they would not be enjoying themselves by the seaside.A. shouldB. couldntC. mustD. cant12. Many students have formed the habit of reading but notes meanwhile.A. not takeB. not to takeC. not takingD. not taken13. The joke told by Tom made us ， so our teacher couldnt make himself .A. laugh； hearingB. laugh； heardC. laughing； hearD. laughed； to be heard14. With high taxes and his small income， Henry had great difficulty in both ends meet.A. havingB. lettingC. makingD. getting15. ―Im going to Shanghai next week. Do you have anything to your son there？―No， but thank you all the same.A. to takeB. to be takenC. takingD. taken二、完形填空（共20小题；每小题1分，满分20分）Parents often believe that they have a good relationship with their teenagers. But last summer， Joanna and Henry noticed a change in their son： suddenly he seemed to 16 far more to his friends than to his parents. “The door 17 his room is always shut.” Joanna noted.Tina and Mark noticed 18 changes in their 19 daughter. “She used to cuddle up （蜷伏） with me on the sofa and talk，” said Mark. “Now we joke that s he does this 20 she wants something. Sometimes she wants to be 21 like a little girl and sometimes like a young lady. The problem is 22 which time is which.”Before age 11， children like to tell their parents whats on their 23. “In fact， parents are fir st 24 on the list.” said Michael Riera，25 of Uncommon Sense for Parents with Teenagers. “This completely changes during the teen years.” Riera explained. “They talk to their friends 26， then maybe their teachers， and their parents last.”Parents who know whats going on in their 27 lives are in the best position to help them. 28 the wall of silence， parents should 29 chances to understand what their children want to say， and tryto find 30 to talk and write to them. And they 31 give their children a mental break， for children also need freedom， 32 young. 33 thing parents should remember is that to be a friend， not a manager，34 their children is a 35way to know them.16. A. talkB. talksC. talkedD. be talking17. A. inB. forC. toD. with18. A. similarB. sameC. differentD. familiar19. A. 14yearsoldB. 14yearoldC. 14yearoldsD. 14 year old20. A. only thatB. only whenC. that onlyD. when only21. A. regardedB. thought ofC. looked uponD. treated22. A. figuring outB. figuring inC. figuring onD. figuring off23. A. brainB. headC. mindsD. spirit24. A. in the listB. on the listC. off the listD. over the list25. A. a authorB. an authorC. the authorD. author26. A. firstB. secondC. nextD. last27. A. teenagersB. teenagerC. teenagersD. teenagers28. A. Break downB. Breaking downC. To break downD. Broken down29. A. haveB. getC. createD. take30. A. thoughtB. waysC. meansD. ideas31. A. mustB. can C. mayD. might32. A. butB. thoughC. asD. still33. A. OneB. The otherC. OthersD. Another34. A. withB. toC. ofD. on35. A. goodB. betterC. bestD. fine三、阅读理解（共15小题，每题2分，满分30分）AWhile others look away from trouble， this lady digs in and gets to work. Gretchen Buchenholz， the native New Yorker and mother of six， has worked on behalf of needy and marginalized families for years in the city. She does everything she can for children. In 1974 she founded Merricats Castle， a nursery school that opened its doors to kids of all racial and economic backgrounds， the ablebodied as well as those with disabilities or terminal illnesses.She founded the Association to Benefit Children （ABC）， the nonprofit group， some 20 years ago. The story of how she started ABC is pretty amazing. In 1984 she was on her way to a government office to get a daycare permit when， by accident， she entered a room where homeless families were waiting to be placed in a“ welfare hotel.” She saw three bare cribs （婴儿床） with babies lying in them. The children wore no diapers （their parents couldnt afford them）， and the room was filthy （不整洁）. After talking to the parents and learning that they and their children were hungry，Gretchen marched out and bought bread， peanut butter， apple juice and diapers. Then she started making phone calls. She dialed the American Red Cross， City Hall and The New York Times.Gretchen has made many people see that we need to recognize these children are not different from our own， and we need to join inand help. Too often， people look away from suffering. But she setsus an example that we should gain strength to do something about it.36. She went to the government office .A. to help those homeless people in the roomB. to apply for a permit for ABCC. to call on the government to help those homeless childrenD. to get permission to look after babies during the day37. By “But she sets us an example that we should gain strengthto do something about it.”， the author means .A. Gretchen Buchenholz is a respectable womanB. we should set up such organizations as the ABC to help those poor childrenC. Gretchen Buchenholz gives us the strength to face sufferingin lifeD. we should do our bits to help those poor children38. We can infer from the passage that Gretchen Buchenholz .A. called up City Hall to get help for those homeless peopleB. moved to New York at a young ageC. treats the children equally whether they are normal or disabledD. starts schools for those homeless childrenBIf you want to be taken seriously in the business world， you must understand how to write a proper letter. Dont use big words：use everyday language. The word “per” is often used in business communication. Its not a real word！ Dont use it. Use short words，and short paragraphs. Space your paragraphs evenly and cleanly for a more professional look. The average paper can hold 66 sentences：use this guide as you format your letter， so that the bulk （大部分） of the words are nicely centered. Think about when your letter is going to reach its recipient. You dont want your letter to get lost in the endofthe month bills. A letter that arrives on Monday is less likely to be read carefully than one that arrives on Tuesday.A good tip：include the word “you” or “your” as one of the first three opening words. Why？ It draws the readers attention to the letter！ The only thing better than this is opening with a referral （提及） to a person you know，as in “Mr. Smith suggested that I write to you.” Readers also love stories―particularly humor―and anything in quotes. Quotation marks catch the eye， and make the letter look more inviting. Sign your letter legibly， so that your name can be read clearly.39. Which of the following is NOT true according to the passage？A. Big words should not appear in a business letter.B. The word “per” should be used in a business letter.C. A letter had better arrive on Tuesday than on Monday.D. Stories or humors can be used to attract readers.40. A better tip on starting a business letter is .A. to start the letter with the word such as “you” or “your”B. to start the letter in a courteous mannerC. to start the letter with stories or humorsD. to start the letter with a referral to a person you know41. The underlined word “legibly” means .A. properlyB. CleanlyC. readablyD. Evenly42. Whats the main idea of the passage？A. How to write a proper business letter.B. How to use everyday language in a letter.C. How to space paragraphs evenly and cleanly in a letter.D. How to use short words and short sentences in a letter.CCalifornia State Railroad Museum HoursThe museum is open from 10 a.m. to 5 p.m. daily （except on Thanksgiving， Christmas and New Years Day）Admission$4 adults； $2 students； children aged 5 and under are free.ParkingA small number of metered parking space are available on the streets of Old Sacramento. However， these spaces are not suitable for guests visiting longer than 90 minutes. All day parking is available in larger public garages at both ends of Old Sacramento.Food ServiceThe Silver Palace Restaurant in the Central Pacific Railroad Passenger Station serves good food at reasonable prices. It is just one block southwest of the main entrance to the Museum. There are many other restaurants throughout Old Sacramento.Accessibility （无障碍通行）The California State Railroad Museum is fully accessible to the disabled. Wherever possible， wheelchair lifts are provided. Certain exhibits and programs do have limited accessibility because of the narrow stair ways or door openings on some railroad passenger cars.Other offeringsGuided hours and films about the Museum are offered daily. There are many other chances at the Museum， too，including related attractions within Old Sacramento State Historic Park.43. Which of the following is True about the Museum？A. Children may visit the Museum any day of the year.B. Films about the Museum are shown on weekends.C. A student is admitted at half the regular price.D. The disable are admitted free of charge.44. A visitor is advised to park his car if he wants to spend several hours at the museum.A. in a garage provided by the Museum.B. on a parking space near the Museum.C. on a metered parking space on the street.D. in a public garage at one end of Old Sacramento.45. A visitor can enjoy a good but not too expensive meal at .A. the Silver Palace RestaurantB. any restaurant in old SacramentoC. Old Sacramento State Historic ParkD. the California State Railroad MuseumDDrunken driving has become a national headache. Every hour of every day about three Americans on average are killed by drunken drivers， adding up to an incredible 250，000 over the past ten years.A drunken driver is usually defined as one with a 0.10 blood alcohol drinking roughly three beers， glasses of wine or shots of whisky drunk within two hours. Heavy drinking used to be an acceptable part of the American manly image and judges were mercifulin most courts， but the drunken accidents has recently caused so many wellpublicized tragedies， especially involving young children， that public opinion is no longer so tolerant. Twenty states have raised the legal drinking age to 21， reversing a trend in the 1960s to reduce it to 18. After New Jersey lowered it to 18， the number of people killed by 1820yearold drivers more than doubled， so the state recently upped it back to 21.Reformers， however， fear raising the drinking age will have little effect unless accompanied by educational programmes to help young people to develop responsible attitudes about drinking and teach them to resist peer pressure to drink.Tough new laws have led to increased arrests and tests and in many areas already， to a marked decline in death. Some states are also publishing bars for serving customers too many drinks. A bar in Massachusetts was fined for serving six or more double brandies to a customer wh o was “obviously drunken” and later drove off the road， killing a nineyearold boy.As the death continues to occur daily in every state， some Americans are even beginning to speak well of the national ban on alcohol that began in 1919， which President Hoover called the “noble experiment”. They forget that legal ban didnt stop drinking， but encouraged political corruption and organized crime.As with the booming drug trade generally， there is no easy solution.46. Drunken driving has become a major problem in America because .A. most Americans are heavy drinkersB. Americans are now less shocked by road accidentsC. accidents attract so much publicityD. drinking is a socially accepted habit in America47. Why has public opinion regarding drunken driving changed？A. Detailed statistics are now available.B. The news media have given special attention to the problem.C. Judges are giving more severe sentences.D. Drivers are more conscious of their image.48. Laws recently introduced in some states have .A. reduced the number of bar customersB. resulted in fewer serious accidentsC. prevented bars from serving drunken customersD. specified the amount drivers can drink49. Now some Americans are beginning to the ban on alcohol by President Hoover in 1913.A. think highly ofB. criticizeC. speak evil ofD. think lowly of50. Why is the problem of drinking and driving difficult tosolve？A. Alcohol is easily obtained.B. Drinking is linked to organized crime.C. Legal ban has already failed.D. Laws and rules alone are not enough. 四、任务型阅读（共10小题，每小题1分，满分10分）请认真阅读下列短文，并根据所读内容在文章后表格中的空格处填入一个最恰当的单词。

2013届黄高预录针对训练题 一、选择题1．已知正方形ABCD 的边长为1，E 为BC 边的延长线上一点，CE ＝1，连接AE ，与CD 交于点F ，连接BF 并延长与线段DE 交于点G ，则BG 的长为 （ ）A ．3 B ．3 C ．3 D ．32．已知实数,a b 满足221a b +=，则44a ab b ++的最小值为 （ ）A ．18-.B ．0.C ．1.D ．98.3．若方程22320x px p +--=的两个不相等的实数根12,x x 满足232311224()x x x x +=-+，则实数p 的所有可能的值之和为 （ ）A ．0.B ．34-.C ．1-.D ．54-.4．由1，2，3，4这四个数字组成四位数abcd （数字可重复使用），要求满足a c b d +=+.这样的四位数共有 （ ）A ．36个.B ．40个.C ．44个.D ．48个. ．5、已知△ABC 为锐角三角形，⊙O 经过点B ，C ，且与边AB ，AC 分别相交于点D ，E ． 若⊙O 的半径与△ADE 的外接圆的半径相等，则⊙O 一定经过△ABC 的（ ）．（A ）内心 （B ）外心 （C ）重心 （D ）垂心 6、黑板上写有共100个数字．每次操作先从黑板上的数中选取2个数，然后删去，并在黑板上写上数，则经过99次操作后，黑板上剩下的数是（ ）．（A ）2012 （B ）101 （C ）100 （D ）997、在平面直角坐标系中，满足不等式x 2＋y 2≤2x ＋2y 的整数点坐标（x ，y ）的个数为（ ）．（A ）10 （B ）9 （C ）7 （D ）58、设方程组x 3-xyz=-5, y 3-xyz=2, z 3-xyz=21 的正实数解有（ ） A 、1组 B 、2组 C 、3组 D 、4组 二、填空题：（本题满分28分，每小题7分） 9．在△ABC 中，已知AB ＝AC ，∠A ＝40°，P 为AB 上一点，∠ACP ＝20°，则BCAP＝ ． 10、已知实数,,a b c满足1abc =-，4a b c ++=，22243131319a b c a a b b c c ++=------，则222a b c ++＝ ． 11、如图，四边形ABCD 内接于⊙O ，AB 是直径，AD = DC . 分别延长BA ，CD ，交点为E . 作BF ⊥EC ，并与EC 的延长线交于点F . 若AE = AO ，BC = 6，则CF 的长为 .12、甲按照一定顺序排列的数列,一般用a 1，a 2，a 3，…，an 表示一个数列，可简记为{an}，现有一数列{an}满足关系式：211n n n a a na +=-+(n=1，2,3,…，n)，且a 1=2，试猜想an= (用含n 的代数式表示)，13.如图，在△ABC 中AB=AC=5，BC=2,在BC 上有50个不同的点P 1,P 2,…，P 50，过这50个点分别作△ABC 的内接矩形P 1E 1F 1G 1，P 2E 2F 2G 2，……,P 50E 50F 50G 50，每个内接矩形的周长分别为L 1,L 2，…,L 50,则L 1+L 2+…+L 50= 。

2013年黄冈中学理科实验班招生考试语文模拟试题(四) （满分：75分时间：50分钟）一、(每小题3分，共18分) 1．下列各组词语中加点的字，注音全都正确的一组是（）A．发酵（jiào）档期（dàng）单枪匹马（pí）妄自菲薄（fěi）B．胡诌（zh ōu）角色（jiǎo）犯而不校（jiào）严惩不贷（chéng）C．干坼（chè）谥号（shì）刚愎自用（bì）热泪盈眶（kuàng）D．晕船（yùn）闷热（mēn）爱憎分明（zēng）解甲归田（xiè）2．下列各组词语中，没有错别字的一组是（）A．宣泄百叶窗谈笑风声左右逢源B．精典挖墙脚集思广益食不果腹C．副刊下马威额手称庆人才倍出D．松弛摄像机利令智昏中流砥柱3．下列各句中，加下划线的词语使用不恰当的一句是（）A．那小而发亮的眼睛，在刹那间把他溢于言表的得意，把他结记前怨的刻薄，都表露得明白无遗了。

B．建设环境友好型社会不单是政府的事情，环保与人类生活息息相关，善待大自然是每一个地球人的义务和责任。

C．20世纪80年代，《霍元甲》在中央电视台黄金时间播出时，家家户户都围在电视前观看，那万人空巷的情景至今让人们记忆犹新。

D．一个知恩图报的人，常常给人们留下良好的印象；而一个不懂得感恩的人，往往为世人所不齿。

4．下列各项中，没有语病的一项是（）A．面对日新月异的社会舞台，大学生唯有积极变迁、直面变迁、和谐变迁，才能成为时代先锋。

B．目前，国家发改委正在研究天然气价格及天然气利用，将有计划地提高天然气的价格，加快与国际接轨的步伐。

C．不管在哪个国家，没有法律就没有真正的自由。

一个国家制定法律的目的不是废除和限制人民的自由，而是为了保护和扩大人民的自由。

D．近年来，部分国家非法进入南海中国管辖海域内从事捕渔活动的渔船数量呈明显上升趋势，中国渔政部门计划通过护航护渔等一系列行动来进一步宣示中国对南海诸岛的主权。

2013年黄冈中学提前招生物理模拟试题（总分：80分 考试时间：90分钟）一、单项选择题（ 第3、15、16每小题4分，其他每小题2分，共38分 ）1. 在亚丁湾海域，我国海军护航编队使用“金噪子”（又名“声波炮”）震慑海盗，它的声波定向发射器外观类似喇叭，能发出145dB 以上的高频声波，甚至比喷气式飞机引擎的噪声还要刺耳，根据以上信息，下列说法中错误的是（ ）A ．声波具有能量B ．声波定向发射器喇叭状外观可以减少声音的分散，从而增大响度C ．使用“金嗓子”时，护航官兵佩戴耳罩是在人耳处减弱噪声D ．“金噪子”发出的声波是次声波2. 缺水地区的冬季，当地有些居民靠取冰雪来获得生活用水。

如图1，是将一定质量的冰雪，从-20℃加热到沸腾过程，温度随时间变化的图像（不考虑水中有杂质产生的影响），下列对图像分析正确的是 （ ） A ．冰的熔点是0℃，水的沸点是100℃ B ．当地气压高于标准大气压C ．冰熔化和水沸腾过程中都吸热且温度不变D ．图像中的BC 段，物质只是以液态方式存在图23．如图2所示，一个半径为5m 的圆形蓄水池装满水，水面和地面相平，在池中心正上方离水面3m 高处吊着一盏灯，一个人站在岸边，他的眼睛距地面的高度为1.8m ，则他要看到灯在水中所成的像，人到岸的距离不能超过（ ）A ．1mB ．2mC ．3mD ．4m 4．小宇在透明的玻璃板上用黑色笔画了个手表盘，如图3甲所示。

把这个玻璃板放在透镜的左侧位置，并用平行光源对着玻璃板上的表盘照射，如图乙所示，移动光屏直到在屏上成清晰像为止，此时表盘在光屏上所成的像是图丙中的（ ）图3A B甲乙丙 光源C D铜片泡沫塑料线圈LED灯带电源适配器5．如图4所示是电阻甲和乙的U-I图象，下列说法正确的是（）A．甲的电阻值保持10Ω不变B．乙的电阻值保持20Ω不变C．甲、乙并联在电路中，当电源电压为2V时，电路总电流为0.3AD．甲、乙串联在电路中，当电路电流为0.2A时，甲的功率为0.6W图4 图5 图66．小金设计了一个如图5所示的线圈指南针，将它放入盛有食盐水的水槽中（铜片和锌片分别与线圈两端相连后放入食盐水构成了化学电池，铜片为正极，锌片为负极），浮在液面上的线圈就能指示方向了。

湖北省黄冈中学2013届五月第二次模拟考试英语试卷命题人：李文宏瞿平审校：李文宏瞿平本试卷共四部分。

满分150分。

考试时间120分钟。

第一部分：听力（共两节，满分30分）做题时，先将答案划在试卷上。

录音结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节（共5小题；每小题1.5分，满分7.5分）听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. How is the man going home?A. By car.B. By bus.C. On foot.2. What do we know about the new T-shirts?A. They have no school signs.B. They have reasonable prices.C. They have some disadvantages.3. What did the man think of the exam?A. It was beyond him.B. It was very easy.C. It was a bit difficult.4. What will the man do?A. Lend his book to the woman.B. Pay for the woman's book.C. Borrow money from the woman.5. What did the man do?A. He gave the woman the wrong information.B. He put the sugar in the black container.C. He added salt to his coffee.第二节听下面5段对话，每段对话后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标出试卷的相应位置。

黄冈中学2013届初三年级第二次模拟考试数学试题一、选择题（本大题共8小题，每小题3分，共24分、在每小题给出的四个选顶中，只有一项是符合题目要求的）1、－32的绝对值是（）A．32B．－32C．D．2、据法新社3月20日报道，全球管理咨询公司麦肯锡预计中国网络销售额将达到4200亿美元（约合2.6万亿人民币），中国将因此成为世界最大的网络零售市场，其中数据4200亿用科学记数法表示错误的是（）A．4.2×103亿B．4.2×1011C．0.42×104亿D．4.2×107万3、如图，直线AB、CD相交于点O，OE平分∠BOD，若∠COE＝160°，则∠AOC等于（）A．20°B．40°C．60°D．80°4、下列计算正确的是（）A．（－p2q）3＝－p5q3B．（12a2b3c）÷（6ab2）＝2abC．（a5）2＝a7D．a3a4＝a75、某几何体的三视图如图，则该几何体是（）A．球B．圆柱C．圆锥D．长方体6、一元二次方程x2＋x＝1的两根为x1，x2，则（）A．x1＋x2＝1B．x1x2＝1C．x1＋x2＝－1D．7、如图，⊙O是△ABC的外接圆，∠B＝60°，OP⊥AC于点P，，则⊙O的半径为（）A．B．C．8D．128、甲、乙两人准备在一段长为1200m的笔直公路上进行跑步，甲、乙跑步的速度分别为4m/s和6m/s，起跑前乙在起点，甲在乙前面100m处，若同时起跑，则两人从起跑至其中一人先到达终点的过程中，甲、乙两人之间的距离y（m）与时间t（s）的函数图象是（）二、填空题（每小题3分，共21分）9、化简的结果是__________．10、分解因式4x2－8x＋4＝__________．11、如图，将含30°角的直角三角尺ABC绕点B顺时针旋转150°后得到△EBD，连结CD，若AB＝4cm，则△BCD的面积为__________cm2．12、“五一”期间，我市某街道办事处举行了“迎全运，促和谐”中青年篮球友谊赛．获得13、如图，A是反比例函数图象上一点，过点A作AB⊥y轴于点B，点P在x轴上，△ABP的面积为2，则k的值为__________．14、一个圆锥的母线长为4，侧面积为8π，则这个圆锥的底面圆的半径是__________．15、在平面直角坐标系中、若四条直线：l1：直线x＝1；l2：过点（0，－1）且与x轴平行的直线；l3：过点（1，3）且与x轴平行的直线；l4：直线y＝kx－3所围成的凸四边形的面积等于12，则ｋ的值为__________．三、解答下列各题（本大题共75分）16、（本小题6分）解不等式组：17、（本小题6分）如图，△ABC与△BEF都是等边三角形，D是BC上一点，且CD＝BE，求证：∠EDB＝∠CHD．18、（本小题7分）2013年某市初中毕业生升学体育集中测试项目包括体能（耐力）类项目和速度（跳跃、力量、技能）类项目．体能类项目从游泳和中长跑中任选一项，速度类项目从立定跳远、50米跑等6项中任选一项．某校九年级共有200名女生在速度类项目中选择了立定跳远，现从这200名女生中随机抽取10名女生进行测试，下面是她们测试结果的条形图．（另附：九年级女生立定跳远的计分标准）九年级女生立定跳远计分标准（1）求这10名女生在本次测试中，立定跳远距离的极差，立定跳远得分的众数和平均数．（2）请你估计该校选择立定跳远的200名女生得满分的人数．19、（本小题6分）某班用抽签的方式，在甲、乙、丙、丁四位同学中挑选2位同学，代表该班参加学校卫生大检查，请用列表法或树状图法，求乙被选中的概率．20、（本小题7分）某学校后勤人员到一家文具店给九年级的同学购买考试用文具包，文具店规定一次购买400个以上，可享受8折优惠，若给九年级学生每人购买一个，不能享受8折优惠，需付款1936元；若多买88个，同样只需付款1936元，请问该学校九年级学生有多少人？21、（本小题8分）如图，已知等边△ABC，以边BC为直径的圆与AB、AC分别交于点D、点E．过点D作DF⊥AC，垂足为F．（1）判断DF与⊙O的位置关系，并证明你的结论；（2）过点F作FH⊥BC，垂足为H，若FH的长为4，求BC的长．22、（本小题8分）为了开发利用海洋资源，某勘测飞机欲测量一岛屿的两端A、B的距离，飞机在距海平面垂直高度为300米的C处测得端点A的俯角为60°，然后飞机沿着俯角30°的方向俯冲到D点，发现端点B的俯角为45°，而此时飞机距离海平面的垂直高度为100米，求岛屿两端A、B的距离．（结果精确到0.1米，）23、（本小题12分）某大学生创业团队新研发了一日常科技产品，决定在市场上进行试推销，已知团队试推销期间每天需固定支出各种费用（差旅费、人工费、托运费等）800元，该产品成本价为每个5元，经测算若按成本价5元/个进行推销时，每天可销售1440个，若每个每提高1元，每天就少销售120个，为便于测算，每个产品的售价x（元）只取整数，设该团队的日净收入为y元．（1）写出y与x的函数关系式，并指出x的取值范围；（2）团队若要使得日净收入最大，同时尽可能多的推销产品以扩大人气，则每个产品的售价应定为多少元？此时日净收入是多少？（3）若要求日净收入不低于3000元，则每个产品的售价应定在什么范围？24、（本小题15分）如图，点A在y轴上，点B在x轴上，以AB为边作正方形ABCD，P为正方形ABCD的对称中心，正方形ABCD的边长为，tan∠ABO＝3．直线OP交AB于N，DC于M，点H从原点O出发沿x轴的正半轴方向以1个单位每秒速度运动，同时，点R从原点O出发沿OM方向以个单位每秒速度运动，设运动时间为t秒．（1）分别写出A，C，P三点的坐标；（2）经过坐标原点O且顶点为P的抛物线是否经过C点，请说明理由？（3）当t为何值时，△ANO与△DMR相似？（4）设△HCR面积为S，求S与t的函数关系式；并求以A、B、C、R为顶点的四边形是梯形时t的值．。

【2013上海黄浦二模】上海市黄浦区2013届高三下学期二模语文试题黄浦区2013年高考模拟考语文试卷（150分钟完成，满分150分） 2013.4.10考生注意：1．答案与作文全都写在答卷上，写在试卷上不给分。

2．答题时注意试卷题号和答卷题号一一对应，不能错位。

一、阅读（80分）（一）阅读下文，完成1- 6题。

（16分）新艺术丰子恺①世间盛传“新艺术”这个名词，浅虑的人，就在现在的新艺术与过去的旧艺术之间划了一条不可超越的界限，以为过去的都是无用的废物了。

其实并不如此。

艺术的分新旧，是仅就其表面而说的。

艺术的表面跟了时代而逐渐变相，现在的为新，过去的为旧；但“艺术的心”是永远不变的，这犹如人的服装因了各时代的制度而改样，或为古装，或为时装；但衣服里面的肉体是不变的。

脱去了衣服，古人与今人都是同样的人，无所谓古今。

同理，不拘泥其表面，而接触其内部的精神，艺术也是不变的，无所谓新艺术与旧艺术的。

②“艺术的心”不变，故艺术可说是“常新的”。

③大画家，是从自然获得深刻的灵感，而成就其为大画家的。

□□各人获得的情形不同，□□其表现的艺术样式也不同，□□绘画上就有种种的画派。

伟大广博的自然，具有种种方面。

从自然的形象方面获得灵感，而创作绘画，便成为“写实派”；从自然的色彩方面获得灵感，而创作绘画，便成为“印象派”；从自然的构成方面获得灵感，而创作绘画，便成为了“表现派”。

各派时代不同，表现异样；但在对于自然的灵感这一点上，各派画家是相同的。

④现今的艺术界中，流行着表现派的画风。

有一班青年的艺人，以为表现主义是二十世纪的特产，这才适合于二十世纪新青年的精神；于是大家做了塞尚与马蒂斯的崇拜者。

提起笔来，就在画布上飞舞线条，夸弄主观，以为非此便不新，非新便不是二十世纪的青年艺术家了。

这是浅见。

他们没有完备健全的“艺术的心”，他们所见的是艺术的表面。

他们的艺术，犹如一个服装时髦而体格不健全的人。

这人无论如何讲究服装，终于妆不出好看的模样来。

2013年黄高预录考试物理试题一、选择题（每小题只有一个正确选项，共30分）1、关于声现象，下列说法正确的是（）A、只要物体在振动，我们人耳就能听到声音B、声音从空气传到水中后，传播速度将变小C、在学校附近禁鸣机动车喇叭属于噪声的利用D、用超声波清洗钟表等精细机械属于声的利用2、妙趣横生的动物世界蕴涵着丰富的物理知识，受到动物的启示，人们制造了许多先进的军事设备和交通工具，实现了人类的梦想，下列对应关系中不正确的是（）A、蝙蝠能在夜间正常飞行——红外线夜视仪B、鸭子的脚掌又扁又平能在松软的烂泥地上行走自如——履带式坦克C、鸟在空中展翅滑翔时不会坠落下来——飞机D、急通过吞吐鱼鳔内的空气能在水中自由浮沉——潜水艇3、小明做完凸透镜成像实验后，又想用手表代替蜡烛，看在光屏上能成什么样的像，于是他在透明的玻璃板上用黑色笔画了个手表盘，如图（甲）所示。

把这个玻璃板放在蜡烛的位置上，并用平行光源对着玻璃板上的表盘照射，如图(乙)所示，移动光屏直到成清晰像为止。

此时表盘在光屏上所成的像是图（丙）中的（）4、下列诗词句中与物理本质的解释，不正确的是（）A、“对饮成三人”-------------光的直线传播B、“潭清疑水浅”--------------光的折射C、“起舞弄清影”-------------光的反射D、“日照香炉生紫烟”--------液化5、如图所示，A和B是叠放在水平桌面上的木块，一条绷紧的细绳绕过一滑轮系住A和C，A、B、C一起做匀速运动，B相对于A保持静止，不计空气阻力，以下说法中正确的是（）A、C的机械能总量保持不变B、绳对A的拉力和水平桌面对A摩擦力是一对平衡力C、B在水平方向受到力的作用D、运动过程中整个系统的机械能守恒6、如图所示是录音机的录音和放音原理图，当录音时，微音器（可理解为动圈式话筒）把声音的振动转为音频电流，输送到录音磁头，产生强弱变化的磁场，使磁带上的小颗粒被磁化，记录声音信息，当放音时，磁带贴着放音磁头运动，使放音磁头的线圈产生变化的电流，通过声器将变化的电流还原成声音，关于此过程下列说法中不正确的是（）A、微音器将声信号变为音频电流，利用了电磁感应原理B、扬声器将电信号变为声信号，利用了电流的磁效应C、磁带录音时将电信号变为磁信号的过程中，利用了磁场对电流的作用D、磁带录音时，碰头线圈中产生的是感应电流7、如图所示的容器中盛有水，水中浮着一个盛有水的小杯甲和一个倒扣的小杯子乙，给容器加热，并使容器中的水沸腾，再继续加热时，甲、乙杯中的水将发生的现象是（）A、甲杯中的水会沸腾，乙杯中的水不会沸腾B、乙杯中的水会沸腾，甲杯中的水不会沸腾C、甲、乙两杯中的水都不会沸腾D、甲、乙两杯中的水都会沸腾8、关于分子动理论和物体内能的说法中，不正确的是（）A、用力拉铅笔没有拉成两半，说明物质的分子间存在引力B、压在一起的铅片和金片几年后剖开，切面相互渗透，属于扩散现象C、冰在熔化过程中，温度不变，内能不变，比热容变大D、汽油机在压缩冲程中，机械能转化为内能9、如图所示，将两个一次性纸杯杯口向上叠起来，用手握住外面的纸杯，在靠近杯口的上方平行于杯口方向用力吹气，里面的纸杯将（）A、保持静止B、发生旋转C、压得更紧D、向上跳起10、下列说法不正确的是A、风能、水能、太阳能都属于可再生能源B、移动电话既能接收电磁波也能发射电磁波C、光纤通信具有传输信息量大、高抗干扰及光能损耗小等优点D、由于能量的转化和转移都是守恒的，因此不存在能源危机二、填空题（每空1分，共20分）11、某课外兴趣小组，将塑料小桶中分别装满已知密度的四种不同液体后，用弹簧测力计称它们的重力，记录了下表中的数据：（g=10N/kg）（1）通过分析此表，小红发现液体密度与弹簧测力计的示数之间有一定规律，能正确反映这一规律的图象是＿＿＿＿。

R1R R3R2abS105---13年黄高预录分类训练题 （2）1、（12分：（1）、（2）小题各6分）利用两个并联电阻中的电流与电阻成反比的原理可以测量未知电阻的阻值。

图10所示的电路图为测量电阻的电路。

R X 为待测电阻，R 的阻值已知，R ′保护电阻，阻值未知。

电源E 的电压未知，S 1、S 2均为单刀双掷开关。

A 为电流表。

（1）按图10的电路，在图9的实物图上连线（注意：连线不能交叉）（2）测量R X 的步骤：将S 2向d 闭合，S 1向_____闭合，记下电流表读数I 1，再将S 2向C 闭合，S 1向_____闭合，记下电流表读数I 2。

计算公式R X =_________________。

2、如图所示电路图是用来测R X 的阻值。

S 1为双刀双掷开关，S 2为单刀单掷开关，R 3为保护电阻，R X 为待测电阻，R 2为滑动变阻器。

（1）根据电路图连接实物图（2）实验步骤：①闭合S 2，开关S 1接a ，调节滑动变阻器R 2，使电流表示数恰为0.15A 。

②保持R 2不变，开关S 1接b ，调节变阻箱，使电流表示数仍为0.15A ，变阻箱示数如图所示，其示数为 Ω ③则电阻RX 电阻为 Ω3、用实验测定额定电压为3V 的小灯泡的额定功率，可以选用的实验器材有：①电压表V 1，量程为3V ；②电压表V 2，量程为15V ；③电压为3V 的电源；④电压为6V 的电源；⑤一个定值电阻R 0（R 0＜10Ω）；⑥额定电压为3V 的灯泡（10Ω＜R 灯＜20Ω）；⑦滑动变阻器R （R =20Ω）；⑧一只单刀双掷开关和足够的导线。

（1）完成实验应选用的器材是：______________________（填序号即可）；（2）用选用的器材设计一个电路，使电路连接好后不再改变各元件的连接就能测出灯泡的额定功率，请把电路图画在方框内。

（3）主要实验步骤和需要测定的物理量是：_________________________________________________； （4）灯泡的额定功率的表达式是___________________。

黄冈市2013届高三第二次模拟考试理科综合本试卷共16页，满分300分，考试用时150分钟。

可能用到的相对原子质量：H—1 C—12 N—14 O—16 F—19 Si—28 第I卷（选择题，共21小题，每小题6分，共126分）一、选择题（本大题共13小题，每小题6分。

在每小题给出的四个选项中，只有一项是符合题目要求的）1．下列关于叶绿体的叙述正确的是（）A．是地球上最基本的生命系统B．与光合作用有关的酶和色素均分布在叶绿体基粒和基质中C．与其它成分和结构相似的生物膜构成了生物膜系统D．所含基因的遗传遵循孟德尔的遗传定律2．右图为某细胞结构示意图，下列选项中的变化都会在该细胞中发生的是（）A．氨基酸→胰岛素；ATP→ADP+PiB．氨基酸→RNA聚合酶；[H]+O2→H2OC．葡萄糖→淀粉；H2O→[H]+O2D．葡萄糖→丙酮酸；染色质→染色体3．下列关于植物激素的叙述，正确的是（）A．某些植物种子成熟后需经低温贮藏才能萌发，可能与脱落酸和赤霉素含量变化有关B．在太空失重状态下植物激素不能进行极性运输，根失去了向地生长的特性C．吲哚乙酸是由色氨酸经一系列酶催化生成的具有调节作用的蛋白质D．促进根生长的生长素浓度作用于该植物的芽，不一定表现为促进生长4．采用骨髓移植的方法治疗人类白血病时，植入患者体内的造血干细胞（）A．具有多方向分化的潜能，能形成各种细胞B．进行分裂，细胞中染色体数目呈周期性变化C．能与感染病原体的靶细胞密切接触，使靶细胞裂解死亡D．能合成、分泌抗体，特异性清除抗原5．下列叙述与现代生物进化理论的观点相符的是（）A．一个种群中，控制一对相对性状的各种基因型频率的改变说明物种在不断进化B．种群基因频率的改变不一定导致新物种的形成C．有翅昆虫为了适应海岛上常刮大风的环境而产生了残翅变异D．共同进化就是指不同物种之间的相互影响，不断进化6．下列方法都能达到物质分离目的的是（）①纸层析法②同位素标记法③染色法④离心法A．①②B．②③C．②④ D.①④7．下列物质:①氯水 ②氯化氢气体 ③盐酸 ④熔融氯化钠 ⑤氯酸钾溶液 ⑥四氯化碳，其中不含氯离子的是（ ） A ．①②③ B ．②④⑥ C ．②⑤⑥ D ．③④⑤8．用N A 表示阿伏加德罗常数的值。

2013年黄高预录数学试题（总分：120分 考试时间：120分钟）一、选择题（本大题共10个小题，每小题3分，共30分。

四个选项中只有一项是正确的）1、由四个相同的小正方体搭建了一个积木，它的三视图如图所示，则这个积木可能是（ ）A B C D2、黄冈市地处湖北省东部，大别山南麓，长江北岸，下辖一区七县两市，总人口740万人，人口总数用科学记数法表示为（ ）A 、70.4×105人 B 、7.4×106人 C 、7.4×105人 D 、7.4×104人 3、已知一元二次方程x 2-4x+3=0两根为x 1、x 2，则x 1·x 2=（ ） A 、4B 、3C 、-4D 、-34、下列四个点中，有三个点同在反比例函数y=xk的图象上，则不在这个函数图象上的点是（ ） A 、（5，1） B 、（-3，-35）C 、（35，3）D 、（-1，5）5、如图，直径AB 为6的半圆，绕A 点逆时针旋转60°，此时点B到了点B ’，则图中阴影部分的面积是（ ） A 、3πB 、6πC 、5πD 、4π6、已知函数y=31++-x x 的最大值为M ，最小值为m ，则Mm的值为（ ） A 、41 B 、21C 、22D 、237、在平面直角坐标系中，O 为坐标原点，直线L 是函数y=-3x 的图象，点A 的坐标为（1，0），在直线L 上找一个点N ，使△ONA 是等腰三角形，则符合条件的点N 的个数是（ ） A 、2个B 、3个C 、4个D 、5个8、警方抓获一个由甲、乙、丙、丁四人组成的盗窃团伙，其中有一人是主谋，经过审讯，A 、B 、C 三名警察各自得出结论，A ：主谋只有可能是甲或乙；B ：甲不可能是主谋；C ：乙和丙都不可能是主谋。

已知三名警察中只有一人推测正确，则主谋是（ ） A 、甲B 、乙C 、丙D 、丁9、团结号列车上午7：45从甲地出发开往乙地，胜利号列车上午8：15从乙地出发开往甲地。

黄高预录模拟（二）一．单项选择题。

（3分 × 12= 36分 将答案填写在答题卡中，否则无效）1、向如图1所示的玻璃瓶内注入水，然后将插有细玻璃管的软木塞塞紧玻璃瓶，玻璃瓶壁有A 、B 两个孔，也用软木塞子塞住。

瓶内液面如图1所示，现将A 、B 处的木塞同时拔去后，则下列说法中正确的是( )(A)A 、B 两孔中均无水射出。

(B)A 、B 两孔中均有水射出。

(C)A 孔中无水射出，B 孔中有水射出。

(D)A 孔中有水射出，B 孔中无水射出。

2、如图2所示，有三只底面积均为S 、水面高度相同，但形状不同的盛水容器a 、b 、c 。

现将三只相同的实心铝球分别放入容器a 、b 、c 中，铝球受到的浮力为F 。

设水对容器底部压强的增大值分别为△P 1、△P 2和△P 3，则下列说法中正确的是( ) (A).△P 1=△P 2=△P 3=F/S 。

(B).△P 1>F/S ，△P 2=F/S ，△P 3<F/S 。

(C).△P 1=F/S ，△P 2<F/S ，△P 3>F/S 。

(D).△P 1<F/S ，△P 2>F/S ，△P 3<F/S.3、如图所示，在一个上面开口的圆柱形容器内存入一定量的水，水面距底都的高度为H 。

现在容器的底部开一个小孔，水从小孔中流出来．则正确反映水面的高度H 随时间变化的图线是图ll(b)中的 ( )4．如图4所示。

A 为电磁铁．B 为铁芯．C 为套在铁芯B 上的绝缘磁环。

现将A 、B 、c 放置在天平的左盘上．当A 中通有电流I 时，C 悬停在空中．天平保持平衡。

当增大A 中电流时．绝缘磁环B 将向上运动。

在绝缘磁环B 上升到最高点的过程中．若不考虑摩擦及空气阻力．则下列描述正确的是： ( ) A ．天平仍保持平衡。

B ．天平左盘先下降后上升。

C ．天平左盘先上升后下降。

D ．天平左盘一直下降至最低点。

5．将阻值相等的电阻R 1和R 2串联后接在一个电压恒定的电源两端。

黄高预录英语模拟试题（二）（时间：60分钟总分70分）（共80小题，其中1—40题每小题0.5分，41—60题每小题1分，61—80题每小题1.5分）一.选择划线部分发音不同的那一项( ) 1.A.want B.water C.what D.watch( ) 2.A.train B.against C.rain D.said( ) 3.A.choose B.chick C.christmas D.chalk( ) 4.A.station B.invention C.operation D.question( ) 5.A.plays B.newspaper C.pens D.moves( ) 6.A.coughed B.stopped C.posted D.finished( ) 7.A.concentrate B.solution C.opportunity D.honest( ) 8.A.classroom B.shoot C.wooden D.understood( ) 9.A.southern B.weather C.breath D.breathe( ) 10.A.truth B.crucial C.shampoo D.bush二.选择能替换划线部分的那一项( ) 11. You’d better learn the new rules by heart.A.study...hardB.keep…in mindC.made…disappointedD.made…interested( ) 12.A group of young men hope that getting this kind of job will finally be the ticket to success.A.gateB.streetC.roadD.direction( ) 13.He had burned his fingers in the stock market once ,and didn’t want to try again.A.烧了手B.吃了亏C.折断了手指D.被人偷了( ) 14.It is impossible to please everyone. We can only do our best.A.hear…ofB.make…happyC.knew…wellD.look…down( ) 15. – Why should we learn English?–Learn English well so that you make yourself understood by foreignersA.understandB.are easily understoodC.learn a lot more fromD.are listened to more clearly三.单项选择( ) 16. – Do you know ______this dictionary belongs to?– Let me see. Oh, it’s ______.A.who does…mineB. who…meC. whose…mineD. who…mine ( ) 17.The good chance that the young man has been looking forward to ______at last.ingeseD.having come ( ) 18.I don’t know whether he will arrive soon ,but if he ______,I will ask him to help you.A.will doB.doesC.shallD.is going to( ) 19. – How soon ______all the work______?– In a week.A.will…finishB.is…going to finishC.will…be finishedD.are…going to be finished( ) 20.It was ______weather that they decided to go out for a picnic.A.such fineB.such a fineC.so fineD.so fine a( ) 21.He doesn’t agree ______ your plan ,but he won’t argue ______ you ______it tonight.A.to, with, aboutB.with, to, aboutC.about, about, withD.with, with, about( ) 22.You can come and stay with me for a few days as my friend Tom ______ I share the flat has gone abroad for a holiday.A.whoB.whomC.with whomD.for which( ) 23.The boy ______ on the ground often does homework for his mother.A.liesB.to lieC.is lyingD.lying( ) 24.After that we never saw her again, nor ______ from her.A.did we hearB.we heardC.had we heardD.we have heard( ) 25.The man who ______ in the wheel chair seemed ______ the match very much.A.sitting, enjoying watchB.sat, to enjoy watchingC.was sitting, to be enjoying watchD.sit, enjoy watching( ) 26. – Few well-known singers came to the concert, did they?– ______ . Such as Andy Lan, Jay Chou and Kristy Zhang.A.No, they didn’tB.Yes they didC.No, they didD.Yes they didn’t( ) 27.____ I could copy down the words on the blackboard, the teacher had wiped them off it.A.WhenB.UntilC.BeforeD.Unless( ) 28.She was afraid ______ home, before she was afraid ______ by her father.A.to go, of being beatenB.of going, to be beatenC.to go, to be beatenD.of going, of beating( ) 29.He has bought many foreign magazines, ______, I think, are very interesting.A.none of whichB.but none of whichC.and none of themD.none of them( ) 30.Since I was locked in the house, I couldn’t do anything but just ______ there.A.sitB.to sitC.satD.sitting( ) 31.I consider him ______.A.being honestB.as honest manC.working hardD.to be honest( ) 32.Prices of daily goods ______ through a computer can be lower than store prices.A.are boughtB.boughtC.been boughtD.buying( ) 33.Our kind teacher wanted to teach us ______ he knew at his lesson.A.thatB.all thatC.that allD.everything which( ) 34.I really like Maria. She’s ______ a sweet girl ______ is always polite to everyone.A.Such whoB.Such thatC.quite whichD.very whose( ) 35.This is the school ______ they visited last year and is the one ______ my father once worked.A.that, whereB.where, thatC.where, whereD.that, that( ) 36.The teachers are doing what they ______ their students.A.can teachB.can to teachC.can teachingD.can to teaching( ) 37. – Where is Mother?– She is in the kitchen. She ______ the housework all morning.A.is doingB.was doingC.has doneD.has been doing( ) 38.She asked ______ we were getting on well with our work.A.howB.thatC.ifD.what( ) 39.Three quarters of the population in China ______ a better life since 2005.A.liveB.livesC.have livedD.has lived( ) 40.Never go out before your homework ______.A.has doneB.will be doneC.is doneD.has been done四.完形填空Every year millions of people travel by plane without difficulty. I don't 41 very often, because I always seem to 42 into trouble. Trouble seems to like me; it goes with me 43 a friendly dog! Last year, for example, I wanted to come home 44 a winter vacation in Miami, Florida. I had to 45 a plane to Atlanta and then take another plane home. We left Miami on a Sunday morning. The 46 there was warm and sunny. We arrived in Atlanta at 12:30 p.m., but then it 47 to snow. In the next three hours, ten inches of snow fell. 48 the plane could not leave. After twenty-four hours at the Atlanta airport, I was able to 49 my journey. I arrived home and went to 50 "You look tired," the people at work said, "You need a vacation!"This year I had to go to Washington D.C. for an important business meeting. 51 the plane journey, I wore sports clothes; they were old, but I felt 52 in them. My good clothes for the meeting were in my suitcase. That was a very 53 idea! I 54 in Washington, but my suitcase didn't. Maybe it went to London or 55 to San Francisco, I don't know, but it didn't arrive in Washington 56 me! I went to my important meeting 57 my tennis clothes. Now that is not a good way to 58 business! People in Washington wear suits to business meetings, not shorts or tennis shoes. My meeting did not 59 well. That was two weeks ago. Now I am home again, andI am 60 waiting for my suitcase.41.A.ride B.fly C.run D.walk42.A.go B.jump C.fall D.get43.A.like B.as C.for D.with44A.in B.for C.from D.on45.A.sit B.ride C.make D.take46A.temperature B.weather C.climate D.day47A.stopped B.began C.wenton D.grew48A.So B.Or C.But D.That49.A.go B.keep C.continue D.stop50.A.hospital B.office C.bed D.work51.A.For B.Like C.As D.In52.A.uncomfortable fortable C.warm D.cold53.A.bad B.strange C.good D.curious54.A.reached B.arrived C.got D.stopped55.A.surely B.certainly C.sure D.perhaps56.A.by B.with C.to D.for57.A.on B.in C.with D.without58.A.make B.join C.do D.take59.A.go B.get C.feel D.do60.A.yet B.still C.not D.also五.阅读理解(A)Plenty of things can cause stress in a kid’s life. It’s important to remember that some types of stress are good and others are bad. Good stress might show up when yo u’re asked to answer a question in class or when you have to give a report. This kind of stress can help you to get things done. For example, you may do a better job on your report if the worry inspires（启迪；鼓励）you to prepare well before you get up and read it to the class.But bad stress can happen if the feelings keep appearing for a long time. You may not feel well if your parents are fighting, if a family member is sick, if you’re having a problem at school, or if you’re going through anything else that makes you upset every day. That kind of stress isn’t going to help you, and it can actually make you sick.Once you recognize that you’re feeling stressed, there are several things you can do. You can try to talk about what’s bothering you with an adult you trust（信任）, like a parent or teacher. Speak out what’s been on your mind and how it makes you feel. He or she may have ideas about how to solve whatever is worrying you or making you uncomfortable.( ) 61. The phrase “show up” in the first paragraph means ______ in Chinese.A.出席B. 出现C. 到场D. 显眼( ) 62. It’s ______ when you want to do better than any other student in your class.A.a good jobB.a kind of bad stressC.a bad jobD.a kind of good stress( ) 63. Which of the following can’t cause bad stress in a kid’s life?A.A kid lives in a quarreling family.B.A family member doesn’t have a good health.C.A kid is loved by his /her parents.D.A kid is never praised by his /her teachers.( ) 64. It’s a good way for a kid ______ if he /she feels stressed.A.to talk with his or her parentsB.to study hard in the classC.to keep the secret in his or her mindD.to give a report every day(B)China is going to make a new education policy (政策). Students’volunteer work will be considered when their performances are evaluated (评估). The policy is to help students develop a spirit of selflessness (无私) by doing more volunteer and social work.In the past, most Chinese schools evaluated their students through exam results. When the policy is put into practice, volunteer work will play an important part in school life. According to the policy, good volunteer work records will also help students to get scholarships (奖学金).The Ministry of Education asked schools to do something to teach students about volunteer work. These things include providing teaching information about volunteer work, setting up scholarships for volunteer services and encouraging students to take part in social activities during holidays.Because of the big differences between Chinese schools, the schools are also asked to make their own evaluation rules as soon as possible so that they can evaluate their students in the most proper way.The Beijing government believes that the new policy could greatly increase the number of volunteers in social activities.In the past years, volunteers have always played a big part in many important activities in China.It’s believed that there will be more and more volunteers in China in the future.( ) 65. According to the new policy, good volunteer work will _________.A.bring students good exam resultsB.help students to get scholarshipsC.make their own evaluation rulesD.provide teaching information( ) 66. The schools are asked to do many things well except ___________.A.ordering students to do volunteer work on weekendsB.setting up scholarships for volunteer servicesC.encouraging students to take part in social activitiesD.providing teaching information about volunteer work( ) 67. Why are schools asked to make their own evaluation rules? Because ___________.A.there are big differences among schoolsB.there are bad influences on exam resultsC.evaluation rules are much less importantD.volunteer work troubles schools very much( ) 68. What can we learn from the passage?A.The students hate volunteer work.B.V olunteer work is bad for studies.C.The policy is good for students.D.There were few volunteer students.(C)Every time you turn on the television or take a ride in a car ,you could be adding to a problem called acid rain(酸雨). In this article, you’ll learn how acid rain is created, and how it affects us, and more importantly, what we all can do to prevent it.How is acid rain created?When people use fuels(燃料), such as coal and gasoline, poisonous gases are give off. When these gases mix with rain, acid rain forms. Many power stations burn fuels in order to create the electricity(电) that we use in our homes and offices every day. Cars and trucks also send these gases into the air when they burn gasoline .When rain mixes with these gases, harmful things called acids form. This is acid form.This is acid rain.How does acid rain affect us?Acid rain damages(毁坏)everything that it touches. It poisons our rivers, ponds, lakes, and oceans along with all the life in them. It pollutes our soil and crops, harms trees, and can even kill fish and plants. Acid rain also eats away at buildings.How can we prevent acid rain?We need to cut down on the pollution that gets into our air. Turn off lights, televisions, and other electrical appliances if you are not using them, Walk or take a bike whenever possible. If you are traveling a long distance, take a bus or train to save fuel.As research shows, acid rain harms our environment. But people everywhere can take small steps now to help protect our environment for future generations.( ) 69. When power stations burn fuels,_______.A. acid rain formsB. air pollution is causedC. noise pollution is causedD. acid rain gets heavier( ) 70. According to the article, acid rain affects us _______.A. suddenlyB. slightlyC. seriouslyD. immediately( ) 71. What advice does the article give us?A. Go to school on foot or by bike if we can.B. Go to bed earlier in order to use less electricity.C. Travel by bus to prevent acid rain.D. Turn off the television on rainy days.( ) 72. What is the best title of the article?A. Preventing Acid RainB. Forming of Acid RainC. Acid rain, Heavy RainD. Acid Rain, Killer Rain(D)This year I’m buying presents for 16 children, as well as my own daughter, Mia-Grace, who will be two on Christmas Day. My tree will be beautifully decorated, I'm bringing the turkey to the family Christmas lunch and having an open house on Boxing Day. And the whole thing's only going to cost me ￡150.I’ve been careful with money since I was a teenager ,for I came from a poor family with many children. I had to drop out of high school to earn money to support myself. I remember well that I went a bit mad back then when I got my first credit card and my parents had to abandon（放弃）me from home and cared little for me from then ,which taught me a real lesson.We're very careful now and we don't overspend or owe anything on credit cards. I work for an electrician and my husband Neil, 33, works in the construction business. We're concerned about our jobs because our companies are quiet at the moment.We've also been hit by rising prices, particularly food, petrol, gas and electricity. Everyone I know is worried. One of my friends' husbands has just gone self-employed and if he doesn't work, they have no money coming in.Christmas has been playing on my mind for the past three or four months. We decided on a budget of ￡150 because that's just under my weekly wage and it meant we could afford Christmas while using Neil's salary for our essential bills.We quickly realized that we buy some things every year just for the sake of it. Even though we have lots of decorations, already we usually buy something new for the tree but this Christmas we're not going to. We've already got our tree –a big man-made one which I bought half-price in the January sales. It will last us for years.After all, no one can escape from this financial crisis(金融危机) which is spreading throughout the globe.( ) 73. From the passage, we can infer Boxing Day most probably falls on ______.A. January 20B. May 5C. October 24D. December 26( ) 74. Which of the following is TRUE about the author according to the passage?A. She has bought Christmas presents for 16 children in total.B. She has bought a man-made Christmas tree at a low price.C. Both the author and her husband are already out of work now.D. She would like to buy a new Christmas tree for this Christmas.( ) 75. The second and third paragraphs mainly tell us ______A. why the author has been very careful with moneyB. how she finished her education of high schoolC. how she earned her first money in her teensD. when she left home and got married to her husband( ) 76. we can conclude from the passage ______.A. the author often quarrels with her husband about their little earningsB. nobody but the author was worried about the rising pricesC. the author has never been worried about losing her and her husband’s jobsD. the author and those around her are suffering from the financial crisis(E)It was two months before Christmas, when nine-year-old Almie Rose told her father and me that she wanted a new bike. Her Barbi bike was just too old, and it needed repairing as well.As Christmas came nearer, her dream for a bike seemed to disappear, so we thought, for she didn’t mention it again. We were busy buying some beautiful story books, a doll house, a holiday dress and toys. Then much to our surprise, on December 24, she said she really wanted a bike more than anything else.Now we didn’t know what to do. It was too late. We were busy with Christmas dinner and packing children’s presents, parents’presents, a brother’s presents and friends’presents till midnight.So there was no time to take to buy the "right bike" for our little girl. Thinking that we were parents who would make their child unhappy, we felt guilty and sad.Suddenly my husband came up with an idea. "What if I make a little bike out of clay (泥土) and write a note that she could trade in (交换) the model bike for a real one?" So he spent the next five hours carefully working with clay to make a small bike.On Christmas morning, we were so excited for Almie Rose to open the little box with the beautiful red and white clay bike and the note. She opened and read the note loudly. She looked at me and Ron and said, "So, does this mean I can trade in this bike for a real one?" Smiling, I said, "Yes." Almie Rose had tears in her eyes when she replied, "I would never trade in this beautiful bike that Daddy made me. I prefer to keep it rather than get a real bike." At that moment, we would have moved the God to buy her every bike on the earth.( ) 77.Rose’s wish was to ___ on Christmas Day.A. get a new bikeB. make a clay bikeC. receive a doll houseD. repair her old Barbi bike( ) 78.Rose’s parents didn’t buy her a bike because she ___.A. didn’t want a bike any moreB. changed her idea to some story booksC. didn’t mention it in the last two monthsD. asked for it only on December 24( ) 79.The word "guilty" in the third paragraph means ___.A. unhappyB. worriedC. happyD. sorry( ) 80. From Rose’s words in the last paragraph, we know that she ___.A. still wanted to get a real bikeB. didn’t know the meaning of the noteC. preferred a real bike to the model oneD. was greatly moved by what her father had done。

12．【解析】由题意知本题是一个等可能事件的概率，以 AB 为底边，要使PAB 的面积大于 1 ,则为 P 点到 AB 的距离 h 4 1 1 ，∴概率为 . 2 2 13．【解析】 M {x 0 x 5}, a 2, b 5 ， a b 7. 14．【解析】 x 2, y 5,| 2 5 | 8否，∴ x 5 ， y 11 ，| 5 11| 8否，∴ x 11 ， y23 ， |11 23| 8 ，∴输出 y，∴ y 23 ． 17．【解析】设珠宝数构成了一个数列{an}，则有 a1＝1，a2＝a1＋5＝6，a3＝a2＋5＋4 ＝15，a4＝a3＋5＋2× 4＝28，a5＝a4＋5＋3× 4＝45，a6＝a5＋5＋4× 4＝66，…， an＝an－1＋5＋4(n－2，所以 an＝a1＋5(n－1＋4[1＋2＋3＋…＋(n－2]＝2n2－n. 18．【解答】（Ⅰ）设a n 的公差为 d ，b2 S 2 12, q 6 d 12， S 6 d 因为所以解得 q 4 （舍）或 q 3 ， d 3 ． q． q 2, q b2 故an 3 3(n 1 3n （Ⅱ） Sn ， bn 3 n 1 ． n(3 3n 2 2 1 1 , Cn ( ， 2 n(3 3n 3 n n 1 Tn 2 1 1 1 1 1 2 1 2n ． (1 (( (1 3 2 2 3 n n 1 3 n 1 3(n 1 19．【解答】（Ⅰ）∵侧面 ABB1 A1 是圆柱的的轴截面， C 是圆柱底面圆周上不与 A 、 B 重合的一个点，∴ AC BC ，又圆柱母线 AA1 平面 ABC ，BC 平面 ABC ，∴ AA1 BC ，又 AA1 AC A ，∴ BC 平面 A1 AC ，∵ BC 平面 A1 BC ，∴平面 A1 BC 平面 A1 AC ；（Ⅱ）设圆柱的底面半径为 r ，母线长度为h ，当点 C 是弧 AB 的中点时， AC BC 2r , 1 2 VA1 BCC1B1 ( 2r ( 2r h r 2 h , 3 3 V圆柱 = r 2 h ，∴ VA1 BCC1B1：V圆柱 =2:3． T 3． 4 20．【解答】（Ⅰ）由条件，得 A 2 ，∵T 2π ，∴π ． 6 π 2π ∴曲线段 FBC 的解析式为 y 2sin( x ．6 3 π π 当 x=0 时，又 CD= 3 ，∴COD ，即DOE ． y OC 3 ． 4 4 （Ⅱ）由（Ⅰ）知 OD 6 ．当“矩形草坪”的面积最大时，点 P 在弧 DE 上，故 OP 6 ．设POE ， 0 ≤ S 6 sin π ，“矩形草坪”的面积为 4 6 cos 6 sin 6 sincos sin 2 1 1 1 π = 6( sin 2 cos 2 3 2 sin(2 3 ． 2 2 2 4 ∵0 ≤ π π π π ，故当2时， = 时，S 取得最大值 3 2 3 ． 4 4 2 8 21．【解答】(Ⅰ a 2, b 3 F ( x ln x x 3 x F ( x 1 ln x 1 ln x x 2 1 0 x 1 x2 x2 x (0,1, F ( x 0, F ( x 单调递增，x (1,, F ( x 0, F ( x 单调递减， F ( x max F (1 2 [来源:Z§ xx§] (Ⅱ不妨设 x1 x 2 ，要证 ( x1 x 2 g ( x1 x 2 2 , 只需证 ( x2 x1 a( x2 x1 b 2 1 2 （﹡） ln x1 1 ln x2 1 ax2 bx2 ， ax1 bx1 ， x2 2 x1 2 1 ln x2 ln x1 a( x2 x1 ( x2 x1 b( x2x1 ， 2 将（﹡）两边同乘以 x2 x1 得，1 ( x2 x1 a( x2 x1 ( x2 x1 b( x2 x1 2( x2 x1 ， 2只需证 ( x2 x1 (ln x2 ln x1 2( x2 x1 ，即证 ( x2 x1 ln x2 2( x2x1 ， x1 令 H ( x ( x x1 ln x 2( x x1 ， x ( x1 ,， x1 x x x 2( x x1 0 H ( x1 ，H ( x ln 1 1 ， x1 x1 x ，只需证 H ( x ( x x1 ln [来源:学#科#网Z#X#X#K] 令 G ( x ln x x1 x x1 1 ， G ( x 0 x1 x x2 G ( x 在 x ( x1 ,单调递增． G ( x G ( x1 0 ，即 H ( x0 ， H ( x 在 x ( x1 ,单调递增． H ( x H ( x1 0 ，即 H ( x ( xx1 ln ( x1 x 2 g ( x1 x 2 2 ． x 2( x x1 0 ， x1 则 m=n=|AD|sin， sin l AC : y 2 , (0. ， 2 2 4 2 x0 x2x x0 即 y x 0 x0 ， 4 4 2 x0 2 x0 与抛物线方程 x 2 4 y 联立得： x 2 4 x 4 x0 x0 0， 4 把 l AC : y x 2 ， x2 x0 4 ，同理可得 x1 x0 4 ， x0 x2 4 x0 x0 x0 x0 4 x0 , x0 2, S ABC 1 1 2 | AB || AC | 2 (4 2 x0 2 (2 x0 4 4( x0 4 48 ， 2 2 x0 4 ， B(0,0 l BC : y 2 x ．。

初中数学竞赛试题考试时间2013年3月日8︰00－10︰00答题时注意：1、用圆珠笔或钢笔作答2、解答书写时不要超过装订线3、草稿纸不上交。

一、选择题（共5小题，每小题5分，共25分。

每道小题均给出了代号为A 、B 、C 、D 的四个选项，其中有且只有一个选项是正确的。

请将正确选项的代号填入题后的括号里，不填、多填或错填都得0分） 1、设532x -=，则代数式(1)(2)(3)x x x x +++的值为（ ） A ．0 B ．1 C ．－1 D ．22、对于任意实数,,,a b c d ，定义有序实数对(,)a b 与(,)c d 之间的运算“△”为：(,)(,)(,)a b c d ac bd ad bc ∆=++。

如果对于任意实数,u v ，都有(,)(,)(,)u v x y u v ∆=，那么(,)x y 为（ ）。

A ．(0,1)B ．(1,0)C ．(1,0)-D ．(0,1)-3、已知,A B 是两个锐角，且满足225sin cos 4A B t +=，2223cos sin 4A B t +=，则实数t 所有可能值的和为（ ）A ．83-B ．53-C ．1D ．1134、如图，点,D E 分别在△ABC 的边AB ，AC 上，BE ，CD 相交于点F ，设1EA D F S S 四边形＝，BDF 2S S ∆＝，BCF 3S S ∆＝，CEF 4S S ∆＝，则13SS 与24S S 的大小关系为（ ） A ．13SS ＜24S S B ．13SS ＝24S S C ．13SS ＞24S S D ．不能确定 5、设33331111S 1232011＝＋＋＋＋，则4S 的整数部分等于（ ） A ．4 B ．5 C ．6 D ．7二、填空题（共5小题，每小题5分，共25分） 6、两条直角边长分别是整数,a b （其中2011b <），斜边长是1b +的直角三角形的个数为＿＿＿＿。