2007年英创数学试题
全国大学生英语竞赛(C类)2007年真题答案
21. accounts 22. decorations 23. signalled 24. rather than 25. complete 26. accommodation 27. foolishly 28. charged 29. bothered 30. paid up
Section D (10 points)
71. Lying. / Not acting, but lying.
72. Nicolas Cage.
73. They thought its script was weak.
74. Three.
75. His good looks and “bad boy” image.
99. It is necessary to make people fully aware of the danger of violating traffic rules /ght it is for us to see ancient life perfectly preserved!
Part VI Translation (15 minutes, 20 points)
Section A (10 points)
91. 两位著名的神经专家认为，积极的生活方式和健康的、富含鱼类的饮食不仅对心脏有好处，还有助于攻克由衰老引起的记忆力减退。
92. 他告诉记者说：“对我们肌体正常运转构成最大威胁的是我们的大脑。”
How delighted we are to see ancient life so well preserved!
How happy we are to see ancient life preserved so well!
2007年AMC8试题
This file was downloaded from the AoPS Math Olympiad Resources Page /
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USA
AMC 8 2007
paper route. He will use all of his birthday money and all of the money he earns from his paper route. In how many weeks will he be able to buy the mountain bike? (A) 24 (B) 25 (C) 26 (D) 27 (E) 28
This file was downloaded from the AoPS Math Olympiad Resources Page /
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USA
AMC 8 2007
11 Tiles I, II, III and IV are translated so one tile coincides with each of the rectangles A, B, C and D. In the final arrangement, the two numbers on any side common to two adjacent tiles must be the same. Which of the tiles is translated to Rectangle C?
1
2
23
4
(A) 1 (B) 2 (C) 3 (D) 4 (E) cannot be determined 10 For any positive integer n, define n to be the sum of the positive factors of n. For example,
2007年数学试题参考答案及评分说明
二00七年恩施自治州初中毕业、升学考试数学试题参考答案及评分说明一、填空题(每小题3分,共24分)1、52、2a ＋103、 2.2×10-24、a(a+b)(a-b)5、24°6、217、π 8、（-1，0）三、解答题17、解：原式＝（1212-+-x xx x ）∙x x 1- (3分)＝∙-+1)2(x x x xx 1- (5分)＝x+2 (7分)把x ＝3＋1代入原式＝3＋3 (8分) 18、证明：∵四边形ABCD 是平行四边形∴OA=OC,OB=OD (4分) 又∵AE=CF∴OE=OF (6分) ∴四边形BFDE 是平行四边形 (8分) (说明:其他证法,参考评分)19、解：（1）恩施州少数民族总人口数为3850000×55%＝2117500（人）(2分) （2）恩施州土家族人口数为2117500×85%＝1799875（人） (4分) 恩施州总人口数中土家族占的百分比为38500001799875×100%＝46.75% (6分)（3）恩施州参加学业考试的少数民族学生数为44500×55%＝2447520（－56,0），（56,0把（0,18）,（56,0⎩⎨⎧=+⨯=056182c a c 解得：⎪⎩⎪⎨⎧=-=1815689c a所以主桥上桥拱形状的解析式为y ＝-15689x 2+18 (6分) （2）设距离桥面中心点28米处垂直支架的长度等于h 米，那么距离桥面中心点28米处的点的坐标为（－28,h ）或（28,h ） 把(28,h)代入y ＝－15689x 2+18中，得h=13.5 所以在距离桥面中心点28米处的垂直支架的长度为13.5米 (9分) (其他解法,参照此标准评分) 21、解：（1）∵100×13＝1300<1392∴乙团的人数不少于50人，不超过100人 (2分) （2）设甲、乙两旅行团分别有x 人、y 人， (3分) 则⎩⎨⎧=+=+1080)(913921113y x y x (6分)解得：⎩⎨⎧==8436y x (7分) 所以甲、乙两旅行团分别有36人、84人 (8分) 22、（1）点P 的坐标是（2,3）或（6,3） (2分) （2）连结OP ，过点A 作AC ⊥OP ，垂足为C, 那么AP ＝PB-AB ＝12-4＝8，OB ＝3OP ＝22312+分) ∵∠ACP ＝∠OBP ＝90°,∠1＝∠1 ∴∆APC ∽∆OPB ∴OPAPOB AC = (6分) ∴15383=AC ∴AC=15324≈1.9<2 (7分) ∴直线OP 与⊙A 相交 (8分) 23、解：由题意得，∠BDC=α,∠ADC=β在Rt ∆BCD 中，tan α=CDBC① (2分) 在Rt ∆ADC 中，tan β=CDhBC + ② (4分)由①、②可得：⎪⎪⎩⎪⎪⎨⎧-=-=αβαβαtan tan tan tan tan h CD h BC (7分)把h ＝2.2,tan32.6°＝0.64，tan82.5°＝7.60代入上式，得BC ≈0.2（米），CD ≈0.3（米） (9分) 所以直角遮阳蓬BCD 中BC 与CD 的长分别是0.2米和0.3米 (10分) (其他解法,参照此标准评分)24、解：（1）36,54,18 (7分) （2）如图，设矩形DEFG 与斜边AB 的交点分别为N 、H ，与直角边AC 的交点为M. BE ＝12－2x ，AM ＝12－6＝6 (4分) ∴S ＝S ∆ABC -S ∆AMN -S ∆BHE ＝21×12×12－21×6×6－21×（12－2x ）2＝－2x 2+24x-18所以，当3<x<6时，S ＝－2x 2+24x-18 (6分) （3）如图，设矩形DEFG 与斜边AB 的交点为M ，延长FG 交AC 于点HAH ＝12－6＝6,HG ＝2x －12 (7分) ∴S ＝S ∆ABC -S ∆AHM -S 矩形HCDG ＝21×12×12－21×6×6－21×6×（2x －12） ＝－12x ＋126所以，当6<x<9时,S ＝－12x ＋126 (9分) （4）如图，①过点O 作OD ⊥AB 于点D ，由题意得OD ＝6 ∵∠ABC=45°,∠ODB=90° ∴OB=2266+=62 ∴x 1＝239226126-=-+（秒） (10分)②过点O 作OE ⊥AB ，交AB 的延长线于点E ，由题意得OE ＝6 ∵∠OBE=45°,∠OEB=90° ∴OB=2266+=62 ∴x 2＝239226126+=++（秒）故当x 等于（9－23）秒或（9＋23）秒时，∆ABC 的斜边所在的直线与半圆O 所在的圆相切. (12分)(其他解法,参照此标准评分)。
2007年全国大学生英语竞赛初赛试题和答案
2007 National English Contestfor College Students(Level C - Preliminary)Part I Listening Comprehension (25 minutes, 30 points)Section A (6 points)Directions: In this section, you will hear 6 short conversations. At the end of each conversation, a question will be asked about what was said. Both the conversation and the question will be read only once. After each question, there will be a pause. During the pause, you must read the three choices marked A, B and C, and decide which is the best answer. Then mark the corresponding letter on the Answer Sheet with a single line through the centre.1. A. He hasn‟t found a suitable one. B. He hasn‟t enough money.C. He prefers his old one.2. A. In ten minutes. B. In fifteen minutes. C. In twenty minutes.3. A. Have dinner with Mary. B. See a film with Mary.C. Do his homework.4. A. Rainy. B. Sunny. C. Cloudy.5. A. He has to go to the bank. B. He has missed the train.C. His train has been delayed.6. A. £315. B. £350. C. £375.Section B (4 points)Directions: In this section, you will hear one long conversation. The conversation will be read only once. At the end of the conversation, there will be a one-minute pause. During the pause, you must read the four questions, each with three choices marked A, B and C, and decide which is the best answer. Then mark the corresponding letter on the Answer Sheet with a single line through the centre.7. What office is the student looking for?A. Accounting.B. Economic History.C. Economics.8. When was the orientation meeting held?A. Yesterday.B. Last Friday.C. A week ago.9. What is the rule about attendance at lectures?A. It is optional.B. It is necessary.C. It is difficult to enforce.10. How often does the student have to attend tutorials?A. Once every other week.B. Three times a week.C. Once a week.Section C (10 points)Directions:In this section, you will hear 10 short news items. After each item, there will be a pause. During the pause, you must read the question and then the three choices marked A, B and C, and decide which is the best answer. Then mark the corresponding letter on the Answer Sheet with a single line through the centre.11. When did the bomb go off in a popular market in central Baghdad?A. Late in the evening.B. At mid-morning.C. Late in the afternoon.12. What‟s the purpose of the Amber Alert program?A. To report the number of children missing in the U.S. every year.B. To help find the children who are believed to have been abducted.C. To find out the reasons why children are kidnapped in the U.S.13. How many villages have been involved in the inter-communal fighting in Chad?A. Fewer than 8.B. About 10.C. Over 20.14. What is the best tactic when you‟re caught up by a rolling wave of snow?A. To create space around you.B. To outrun the avalanche.C. To leave the ski resort instantly.15. What‟s the news item mainly talking about?A. Development of medical technology.B. Health care in California.C. Health insurance in the U.S.16. How many people did bird flu kill in Indonesia in two weeks?A. 5.B. 2.C. 35.17. What‟s the function of the new drug produced by Pfizer?A. Reducing dogs‟ weight.B. Increasing dogs‟ appetite.C. Controlling dogs‟ population.18. What will soon begin in the southern Senegalese towns?A. Planting new agricultural crops.B. Biofuel production.C. Fuel recycling.19. When did Ponti begin making films?A. In 1913.B. In 1931.C. In 1938.20. What‟s the main reason Democrats could regain control of Congress after 12 years?A. Nancy Pelosi has become their leader.B. Americans are dissatisfied with the Iraq war.C. They support sending more troops to Iraq.Section D (10 points)Directions:In this section, you will hear a short passage. There are ten missing words or phrases in it. Fill in the blanks with the exact words you hear on the tape. Remember to write the answers on the Answer Sheet.Every traveller has a tale to tell about bad driving. These are usually exaggerated (21) __________ of life on the main streets of cities where the motorists are crazy and traffic lights are treated as colourful (22) __________.It all happened on a Sunday April morning. I (23) __________ my intention to turn left into a side road and paused as the oncoming traffic cleared. But as I drove across the road, an elderly man driving a battered Renault 12 chose to overtake me (24) __________ pass on the inside. There was a fearful bang and my car was pushed sideways. I felt groggy and bruised and was taken to hospital in the back seat of a police car. There my spleen was removed. Fortunately, though, my recovery was steady and (25) __________.But that‟s not the end of the tale. Yes, I had taken out insurance and it covered my medical expenses, (26) __________ while I recovered and my flights home. However, as always, there was a catch to it. I had (27) __________ hired my car from a backstreet firm called Kavis that had been recommended by the hotel front desk. I was assured that I had full insurance cover, but Kavis (28) __________ my credit card £800 on the day of the accident. My solicitor took advice on the form I had signed. Being in a hurry at the time, I hadn‟t (29) __________ to get it translated. “Mr. Balmer was stupid to sign this document,” it read. I (30) __________ with a smile. After all, I am still alive!Part II Vocabulary and Structure (10 minutes, 15 points)Directions: There are 15 incomplete sentences in this part. For each blank there are four choices marked A, B, C and D. Choose the one that best completes the sentence. Then mark the corresponding letter on the Answer Sheet with a single line through the centre.31. If I lose my new watch my parents will be very annoyed ______ me.A. againstB. withC. forD. about32. I don‟t think ______ possible to master a foreign language without much memory work.A. thisB. thatC. itsD. it33. Does brain power ______ as we get older? Scientists now have some surprising answers.A. descendB. declineC. reduceD. collapse34. I don‟t believe in Brown‟s adventure at all. It sounds so ______.A. incredibleB. credibleC. incredulousD. credulous35. We‟ll never get to the station on time ______ we run as fast as we can.A. in caseB. even ifC. provided thatD. if only36. Oil sales volume in local urban and rural areas rose by 24% and 50% ______, over July 2006.A. separatelyB. individuallyC. independentlyD. respectively37. The shipping authorities followed the ______ of the unidentified submarine on their radar screens.A. channelB. wayC. courseD. direction38. I set off as soon as I got the news about my grandpa‟s illness. Unfortunately, he ______ at the hospital before I ______.A. has died; went thereB. had died; arrivedC. died; had been thereD. was dying; had gone39. The committee has made rules ______ all its members are supposed to work.A. by whichB. so thatC. now thatD. for which40. They were married for fifteen years but have now ______ up and live apart.A. splitB. dividedC. divorcedD. separated41. We wouldn‟t have missed the train if we ______ to the station.A. didn‟t walkB. wouldn‟t runC. hadn‟t walkedD. weren‟t running42. No matter what measure they took, in no way ______.A. could the outflowing tide be controlledB. the outflowing tide could be controlledC. could the outflowing tide controlD. the outflowing tide could control43. —Did you get any information from Peter?—He ______ an expert, but he doesn‟t seem to know much.A. believes to beB. is supposed to beC. thought to beD. is claimed being44. —The radio‟s terribly loud. Could you turn it down a little?—Sorry! ______—Yes, and something else - wouldn‟t it be an idea to buy your own soap?A. Is it disturbing you?B. I forgot where I put my soap this morning.C. A football match was broadcast live on it.D. Could you repeat what you said?45. —Can I book a room from now until Friday?—_________________—What‟s the price?—$128.75 not counting the service.A. Definitely. Go see it yourself.B. Yes, our hotel is quite near to the station.C. Of course. Would you like to follow me?D. You can have Room 33, overlooking the sea.Part III IQ Test (5 minutes, 5 points)Directions:There are 5 IQ Test questions in this part. For each question there are 4 choices marked A, B, C and D. Mark your answer on the Answer Sheet with a single line through the centre.46. Which figure completes the sequence?47. A man has 29 socks in his drawer, 9 identical blue, 8 identical grey and 12 identical black. The lights have fused and he is completely in the dark. How many socks must he take out to make certain that he has a pair of each colour?A. 21B. 14C. 23D. 2448. Which comes next?A, 1A, 111A, 311A,?A. 1312AB. 13211AC. 1231AD. 11231A49. Find the weight to balance the scales.A. 2kgB. 4kgC. 3kgD. 5kg50. What is the missing number?A. 748B. 754C. 745D. 784Part IV Reading Comprehension (25 minutes, 40 points)Section A (6 points)Directions:There is one passage in this section with 6 questions. For each question, there are fourchoices marked A, B, C and D. You should decide on the best choice. Then mark the corresponding letter on the Answer Sheet with a single line through the centre.Questions 51-56 are based on the following passage.“A Unique Experience in IndianCuisine ”Opening night at the Gandhi Restaurantbrought cries of praise and delight fromcustomers when they sampled the unique cuisineon Monday night.Opened by County Councillor, Mr. TonyPeaston, the Gandhi offers the discerning dinerauthentic Indian dishes, many available for thefirst time in Hampshire.The secret lies in the preparation - onlyauthentic Indian herbs and spices are used toindividually prepare each special dish, followingancient recipes, many handed down throughgenerations of Indian chefs.High Standard“I‟ve travelled extensively and dined atmany Indian restaurants throughout the country,but rarely have I tasted Indian food of such ahigh stan dard,” extolled Councillor Peaston.“Whilst Gandhi himself was a leader ofmen, the Gandhi Restaurant could be consideredthe leader of a new breed of Indian cuisine in Hampshire,” he added. “By far the best curry we have had in the Portsmouth area,” was t he comment of Havant diners, Mr. and Mrs. Jim Cairns of Denvilles. “We enjoyed the different menu and found the advice of the staff, explaining how each dish was prepared, very helpful for deciding our choice of menu,” they said. Such glowing comments reflect the exclusive nature of the dishes available at the Gandhi Restaurant. Original Recipes You can choose from a menu which offers curries and tandoories, knowing each one is specially cooked for you, with individual care and attention, according to strict original recipes, by a top London chef, formerly of Covent Garden. And after you have sampled the spicy delights of your main course, you can select from a choice of original Indian sweets to temper your palate. Relaxing in the comfortable surroundingsof the restaurant, you can have a hot towel to freshen yourself or clean your fingers between courses - another touch of Indian living.The Gandhi Restaurant, situated at 139 Kingston Road, Portsmouth, is fully licensed and open seven days a week.You can pop in for a traditional Indian lunch between 12 and 2:30 pm or enjoy a languid evening meal, when the restaurant is open from 6 pm to midnight.But take care to book in advance, as demand for this cuisine is expected to be high, so avoid disappointment by telephoning Portsmouth 811966.As proof of confidence in your enjoyment, the Gandhi is offering a 10 per cent discount on the cost of your meal, when you produce this advertisement within three months of the opening.The staff at the Gandhi look forward to serving you with your first taste of truly authentic Indian cuisine in this area- and they know you will come back again and again.51. “A Unique Experience in Indian Cuisine” here means that the Gandhi restaurant __________.A. is the only genuine Indian restaurant in HampshireB. offers customers its own special style of cookingC. makes special food for native Indian customersD. is trying out Indian recipes for the first time52. How does the food preparation contribute to the unique, experience?A. It varies from customer to customer, depending on the price.B. The methods used are secret and known only to the chef.C. It uses genuine Indian ingredients and follows ancient recipes.D. It follows methods described by traditional Indian authors.53. According to the article, in what way does the restaurant live up to its name?A. It will soon be as famous throughout the world as Gandhi himself.B. The owner considers himself to be a leader of the local Indian community.C. It has had a considerable influence on other Hampshire restaurants.D. It sets new standards of excellence for other Indian restaurants to follow.54. Where did the top chef of the Gandhi Restaurant use to work?A. In London.B. In Hampshire.C. In Denvilles.D. In Portsmouth.55. Hot towels are provided __________.A. because customers feel coldB. to make customers feel more relaxedC. mainly for hygienic reasonsD. to give customers the true feel of Indian life56. Customers can obtain a cheaper meal by __________.A. bringing the advertisement with themB. making a phone call to the restaurantC. providing proof of their enjoymentD. contributing to the cost of advertisingSection B (7 points)Directions:In this section, there is one passage followed by 7 statements. Go over the passage quickly and mark the answers on the Answer Sheet. For questions 57- 63, markY (for Yes) if the statement agrees with the information given in the passage;N (for No) if the statement contradicts the information given in the passage;NG (for Not Given) if the information is not given in the passage.Questions 57-63 are based on the following passage.Eleven days ago, as he felt himself being crushed from head to toe, Andrew Jepson was certain he was about to die.Yesterday the 26-year-old construction worker was able to stroll around his parents‟ home and tell for the first time howhe survived being run over bya four-ton road roller.The accident happenedas Mr. Jepson worked at abuilding site at Heathrow andthe roller was reversing at 4mph.“I was looking away and then I just felt it go over my leg”, he said. “I fell to the floor and felt this amazing pain in my leg as it was being crushed.”“When I felt it running over me I thought this is it, I‟m dead. Nobody can survive this.”“There was absolutely nothing I could do. The pain was horrendous and all the air was being crushed out of my lungs.”“I couldn‟t breathe. I thought every breath would be my last.”The machine took more than a second to roll over Mr. Jep son‟s body.“It came over my head but I had my hard hat on which must have blocked most of the pressure,” he said.Workmates believed he would be dead but the uneven surface, foundation for a road, cushioned much of the weight of the roller and saved him.“Afterwards I tried to get straight up,”he said. “I was fully conscious. I was in shock but for some reason I thought, …If I stay down, I will die.‟”“Luckily a labourer ran over and kept me down so that I would not do any more injury to myself.”“The driver rushed over. He was really upset. I said, …You are not to blame, it was just an accident.‟”Mr. Jepson, a site engineer, suffered crushed ribs, bruising, cuts and a collapsed left lung but escaped permanent injury. An air ambulance arrived and doctors operated at the scene.He spent two days in intensive care but six days later was back at his parents‟ home near Spalding, Lincolnshire.“It is like being born again,” said Mr. Jepson, who has amazed doctors with his recovery.“When I came around from the anaesthetic I just cried with joy. Being able to walk and breathe again is the most wonderful thing in the world.”Mr. Jepson‟s 62-year-old father, John, said, “When we heard he had been under a roller I feared the worst. We prayed all the way to the hospi tal. To see him now is just wonderful.”Mr. Jepson‟s employer, construction firm Laing, said the accident was still being investigated.Statements:Section C (7 points)Directions: You are going to read a magazine article about sand. Seven sentences have been removed from the article. Choose from the sentences (A-H) the one which fits each gap (64-70). There is one extra sentence which you do not need to use. Mark your answers on the AnswerSheet .Sand: as children we play on it and as adults we relax on it. It is something we complain about when it gets in our eyes on a windy beach, and praise when it is made into sand castles.But we don‟t often look at it. If we did, we would discover an account of a geological past and a history of sea life that goes back thousands and, in some cases, mil- lions of years.Sand covers not just seashores, but also ocean beds, deserts and mountains.And it is a major element in manufactured products too - concrete is largely sand, while glass is made of little else.Well, it is larger than fine dust and smaller than shingle. In fact, according to themost generally accepted scheme of measurement, grains can be called sand if their diameter is greater than 0.06 of a millimetre and less than 0.6 of a millimetre. Depending on its age and origin, a particular sand can consist of tiny stones or porous grains through which water can pass. They have come from the breaking down of rocks, or from the dead bodies of sea creatures, which collect on the bottom of the oceans, or even from volcanic eruptions.If it is a dazzling white, its grains may come from nearby coral, from crystallinequartz rocks or from gypsum, like the white sand of New Mexico. On Pacific Islands, jet black sands form from volcanic minerals. Other black beaches are magnetic and are mined for iron ore.It washes rock into streams and rivers and down to the sea, leaving be- hind softermaterials. By the time it reaches the sea, the hardest rocks remain but every- thing else has been broken into tiny particles of 0.02 millimetre diameter or less. The largest pieces fall to the bottom quickly, while smaller particles float and settle only slowly in deeper water, which is why the sandy beach on the shoreline so often turns to mud further out.If the individual fragments still have sharp edges, you can be sure they wereformed fairly recently. This is the case on the island of Kamoama in Hawaii, where a beach was created after a volcanic eruption in 1990. Molten lava spilled into the sea and exploded into glassy droplets. It seems that when the poet William Blake saw infinity in a grain of sand he was not far wrong. Sand is an irreplaceable industrial ingredient which has many uses. Sand cushions our land from the force of the sea, and geologists say it often does a better job protecting our shores than the most advanced coastal technology.64656667686970Section D (10 points)Directions:In this section, there is one passage followed by 5 questions. Read the passage carefully, then answer the questions in as few words as possible (not more than 10 words). Remember to write the answers on the Answer Sheet.Questions 71-75 are based on the following passage.Rare among American actors, Depp has made a name for himself effortlessly switching between mainst ream Hollywood movies and more “out of the ordinary” projects. Talking about his choice of roles, he once said, “With any part you play, there is a certain amount of yourself in it. There has to be, otherwise it‟s not acting. It‟s lying.” Highlights of a r ichly diverse career include Edward Scissorhands, Sleepy Hollow and Pirates of the Caribbean.Depp dropped out of school at sixteen to concentrate on a career in music, playing the guitar (he played with more than twenty bands). However, his musical career rifled to take off, and he found himself selling pens over the phone to pay the bills. His lucky break came when makeup artist Loft Allison, to whom he was briefly married, introduced him to Nicolas Cage. Although at first they did not like each other, they later became good friends and Cage persuaded him to try acting. Depp signed on with Cage‟s agent, and made his feature film debut in Wes Craven‟s horror film Nightmare on Elm Street, in which the character he played was eaten by his bed. After that he had his first screen leading role in Private Resort.Depp went on to achieve teen idol status in the TV series 21 Jump Street, but after four seasons, he wanted out, with the hope of making the transition to the big screen. He starred in Cry-Baby, followed by Tim Burton‟s Edward Scissorhands, after which he went on to win considerable critical acclaim in Ed Wood, a reunion with Burton. Depp made his feature directorial debut with The Brave in 1997, a film he also co-wrote and starred in. Premiering at the Cannes Film Festival, the film also featured Marlon Brando, but earned mostly negative reviews, with most critics blaming its weak script. Sleepy Hollow teamed him with director Burton yet again, before he starred in Ted Demme‟s Blow, and a ppeared in the thriller From Hell, about Jack the Ripper.OFF screen, his good looks and “bad boy” image (he was once arrested for attacking intrusive paparazzi with a wooden plank) have earned him a lot of media attention. He was voted one of the fifty most beautiful people in the world by People magazine in 1996. He has also had his fair share of celebrity romances; when his engagement to Edward Scissorhands co-star Winona Ryder ended, he had a tattoo (one of at least eight), which said “Winona Forever”, altered by laser to get rid of the last two letters of her name. His relationship with model Kate Moss also ended abruptly in 1998, when he started dating French singer-actress Vanessa Paradis. They are now married and have two children, Lily-Rose Melody and Jack. More recent work has included Pirates of the Caribbean with Geoffrey Rush and Once Upon a Time in Mexico.Questions:Section E (10 points)Directions:In this section, there is one passage followed by a summary. Read the pas- sage carefully and complete the summary below by choosing a maximum of three words from the passage to fill in the spaces 76-80. Remember to write the answers on the Answer Sheet. Questions 76-80 are based on the following passage.Lack of culture, or rather an excess of the wrong sort of culture, is often considered to be synonymous with disadvantage. Most commonly associated with low cultural standards are low levels of reading, and some thirteen per cent of all twenty-three-year-olds feel they have trouble with reading and writing. One way of compensating such disadvantaged young people is thought to be to provide them with the culture they lack: in particular, high quality reading material.Whereas forty to fifty per cent of young people aged sixteen to twenty rarely read a book, the majority appear to read comics. In 1991 sales of Viz, a UK comic, exceeded one million copies per issue, making it the fourth best-selling periodical in Britain. The reading of comics, however, is not restricted to young people: by 1992 it was estimated that two out of three men aged eighteen to fifty-three read Viz. The number of imitators this comic has spawned, including Zit, Gas, Brain Damage and Swiz, indicates the extent of the influence it wields.The reading of comics was traditionally regarded by the educational establishment with considerable suspicion. Whereas the received arts were always assumed to exert an improving or civilizing influence, comics were thought to “rot children‟s brains”, to lower educational standards and to threaten morality. They were, and are, assumed to be an inferior cultural form, their readers assumed to come from the lower social classes, to be low educational attainers and to be easily led astray.Over the past decade, perceptions of comics have shifted. Since the 1970s, the comic format has been commonly used to represent the interests of various disenfranchised groups —community groups, the unemployed, welfare recipients —who became more conscious of aclimate conditioned by other contemporary movements such as civil fights, consumerism, self-help and de-institutionalization. As cultural signifiers, comics have become the subject matter of academic courses in cultural and media studies. In deed, young people‟s cultural activities, grounded in the commercial rather than the subsidized sector, are beginning to merit the attention of the arts establishment.Summary:Part V Cloze (10 minutes, 10 points)Directions:There are 10 blanks in the passage. Use the words (phrases) given in the box to fill in the blanks, changing the form where necessary. Use only one word (phrase) in each blank. There are two extra words (phrases) which you do not need to use. Remember to write the answers on the Answer Sheet.are football crazy or keen on tennis. The (82) __________ that rock or pop music might ever play a part in sports training would have been regarded as a joke not so long ago. But today modem music is increasingly filling the gym as well as the front room.The idea of exercise to music is not new. For years, (83) __________ in eastern Europe, the benefits of sportsmen and sportswomen having (84) __________in ballet and classical dance, with their stress on total body control and balance, have long been recognised.Figure-skating and ice-dance are usually performed to music and can be said to be specialised (85) __________ of this type of exercise. But ballet and classical dance can be (86) __________ other sports that are also pleasing to the eye, such as gymnastics and skiing, (87) __________ of which demand high standards of balance, coordination and suppleness.In western Europe and North America, a far (88) __________ interest has been shown in working out to classical music. Even sports which seem to demand muscular (89) __________ more than any other physical requirement have taken up exercise to music as a valuable addition to their own specialised training schemes.Devotees of soccer, rugby, and rowing now regularly train to music; even those who take part in weightlifting, (90) __________ demands enormous physical strength, and participants in athletics field events, find that exercise to music is beneficial and makes their movements more fluid.Part VI Translation (15 minutes, 20 points)Section A (10 points)Directions:Translate the underlined sentences in the following passage into Chinese. Remember to write the answers on the Answer Sheet.(91) An active lifestyle and a healthy, fish-rich diet are not only good for your heart, they may also help tackle the memory loss associated with old age, two leading neuroscientists said.As people live longer, finding ways of halting the decline in mental agility is becoming increasingly important, said Professor Ian Robertson, director of the Institute of Neuroscience at Trinity College Dublin.(92) “The biggest threat to being able to function well and properly is our brains,” he told journalists.“There is very strong evidence, particularly in the over-50s, that the degree to which you maintain your mental faculties depends on a handful of quite simple environmental factors,” he said.(93) Those who remained physically fit, avoided high stress levels and enjoyed a rich and varied social life are better equipped to stay alert as they age. Mental stimulation, learning new things and simply thinking young also help.A new survey compiled for the University of Kent and the charity Age Concern showed ageism was rife in Britain where people, on average, see youth as ending at 49 and old age beginning at 65.But Robertson said such attitudes were not helpful given the number of 80-year- olds who remain “sharp as pins”.(94) “If you start to think of yourself as old when you are 60, which is no longer justified, you will behave old,” he said.Research conducted by his Trinity College colleague, Professor Marina Lynch, showed healthy eating was another key requirement for staying on the ball.(95) Lynch said new research showed fish oils may reduce the cell inflammation that triggersa decline in memory.Section B (10 points)Directions:Translate the following sentences into English, using the words given in the brackets. Remember to write your answers on the Answer Sheet.96．这决不是解决人口问题的最好办法。
2007年初赛高二试题与答案
2007年全国中学生英语能力竞赛(NEPCS)初赛高二年级组试题参考答案听力部分（共三大题，计30分）I.问句应答（Responses）1—5ADDCCII.对话理解（Dialogues）A)6—10BDABC B)11—15BBCDA16—20DBCADIII.短文理解（Passages）A)21—25CABDAB)26.in a hurry27.the gym28.think29.half an hour30.slow you down笔试部分（共七大题，计120分）I.选择填空（Multiple-choice）31—35BDCDA36—40CDACB41—45DCAABII.阅读理解（Reading comprehension）46—50DABCA51.you love/like52.Ingredients.53.Because a gold spoon doesn’t affect the taste of ice cream./Because other kinds of spoons affect the ice cream’s taste.54.To protect his special tasting skills.55.5.56.Ecuador,Colombia,Brazil.57.Rio de Janeiro.58.About35°south latitude,58°west longitude.59.East.60.听上去很熟悉吧？大部分修过任何一种数学课程的人都曾有过这种经历。
61.多年以前，如果你被一道数学题难住，你很难寻求到帮助。
数学不同于其他学科，你常常很难从书上找到答案。
62.ways of getting help with maths homework/problems63.imagine yourself/imagine you are64.learning to play a musical instrument65.Call homework telephone lines.Try homework help programmes or Web pages on the Internet.Ask a live volunteer teacher.III.完形填空（Cloze）A)66.attractions67.height68.exciting69.designers70.surprisinglyB)71.consist72.changes73.result(s)74.increased75.longer76.different77.freedomIV.翻译（Translation）81.What I appreciate is her optimistic view of events.82.Obviously,he meant that the conference should come to an end.83.I don’t feel like going to the cinema.I heard that the movie is a little boring.84.As more and more countries open up to tourism,more travel agents will be needed.85.Absorbed in computer games,he forgot to translate the report for his boss.V.短文改错（Error correction）Dear Li Fei,Well,here I am in the UK.Everything’s OK,but you won’t believe this!I gotrobbed on my first day here!I was walking back to my hotel then two young86.whenguys stopped me.I tried to run away,but they threatened me with a knife.I87.√thought they are going to hurt me,so I handed over all my money,my watch,88.were everything.Then they ran off.I was so shock that I couldn’t really speak89.shockedfor five minutes.Then I realised that there were several of other people in90.ofthe street and nobody had tried to do something about it.got really angry and91.anything started shouting at everyone!I could have∧killed and they were all just92.been standing around,watching.I reported∧to the police.My dad sent me93.itsome money,it was a big help,and now I’m just trying to make the most94.which或it前加and of∧rest of my time here.95.the Anyway,I hope you’re well.All the best,Zhang LuVI.智力测试（IQ）96.The Nile.97.×+-98.99.132ft100.PAINFULVII.写作（Writing）A)One possible version:...I’d start in Oxford.It’s a beautiful city,and it’s near the airport.You could visit several famous universities there.The next day,you could go to Stratford and visit Shakespeare’s birthplace and,if you have time afterwards,you could also visit Warwick Castle.I know you like the countryside,so why don’t you go to the Peak District after that?It’s wonderful forB)One possible version:My cousin Tom is one of my heroes.I admire him because about six years ago he made a difficult decision and carried on without complaining.Unfortunately,Tom’s parents divorced when he was ten.He has a younger sister, Lily,who was six then.Tom and Lily lived with their mother.Then their mother became very ill.Advised that he and Lily should go to live with their father,Tom refused.From the age of12,he took charge of his home. Helping his mother and looking after Lily,he had little time for himself.However,he always seemed cheerful and made us all laugh at family parties,even though he was missing so much of the fun that most teenagers have. Last year,a new treatment meant that his mother’s health began to improve.Now,Tom’s life is easier,but he will always be a person I admire.一、评分原则：1.本题总分为：30分。
2007年大学生英语竞赛(NECCS)D类初赛真题试卷(精选)(题后含答案及解析)
2007年大学生英语竞赛（NECCS）D类初赛真题试卷（精选）(题后含答案及解析)题型有：1.jpg /> b) Saturday is now about 20. At first, many language experts were interested in him. Is it possible, they wanted to know, for a child like this to learn a language? Sadly, it seems the answer for Saturday is no. The experts say he will probably never learn to communicate.And so he continues his lonely life. Does he want to return to the monkeys? c) One Saturday morning fifteen years ago, some farm workers in KwaZulu Natal, South Africa , were working in a field next to a forest. A group of monkeys was playing in the grass between the field and the trees. The farm workers saw that one of the animals was different from the others. When they looked closer they realized it wasn’t a monkey. It was a young boy. He was walking on his arms and legs and wasn’t wearing any clothes. The farm workers went to the police station and told their story. d) At the school, the teachers tried to teach Saturday to speak. They taught him how to have a bath, get dressed and comb his hair. But Saturday didn’t want to play with the other children—he would fight with them instead. After ten years, he was still more like a wild animal than a boy.30．______正确答案：Para．(c)解析：故事的开始应该是从15年前的一个星期六的早晨说起。
考研英语一2007年真题
考研英语一2007年真题The 2007 Genuine Exam Questions of Postgraduate Entrance English (Part I)The Postgraduate Entrance Examination is an important and challenging test for Chinese students seeking to pursue advanced degrees. The English section of the exam assesses candidates' language proficiency and comprehension skills. This paper will analyze the 2007 genuine exam questions for the English section of Postgraduate Entrance Examination, focusing on the listening and reading comprehension parts.Listening ComprehensionThe listening comprehension section of the 2007 postgraduate entrance exam included a total of five passages. Each passage was played twice, with a pause in between allowing candidates to answer the questions. The passages covered a variety of topics, such as academic lectures, radio broadcasts, and conversations between two or more speakers. It is crucial for candidates to concentrate and understand the main ideas and details while taking notes to successfully answer the related questions.Reading ComprehensionThe reading comprehension section in the 2007 postgraduate entrance exam contained four passages. Each passage was followed by several multiple-choice questions, which required candidates to comprehend the text and choose the most suitable option. The passages covered a wide range of topics, including science, culture, and social issues. Candidatesneeded to carefully read each passage, identify the key points, and consider the context to select the correct answers.Tips for Exam Preparation:1. Enhance English Listening SkillsTo improve listening comprehension, candidates should actively listen to various English audio materials, such as news broadcasts, movies, or academic lectures. This practice will help them familiarize themselves with different accents, tones, and speech patterns. Taking notes while listening can also enhance memory and accuracy.2. Read A Wide Range of English TextsReading extensively is essential for candidates to broaden their knowledge of vocabulary, sentence structures, and different writing styles. Candidates should read newspapers, magazines, and literary works from various genres to enhance their reading comprehension skills.3. Practice Past Exam QuestionsReviewing and practicing past exam questions will provide candidates with a better understanding of the exam format and help them identify their weaknesses. By simulating the actual test environment, candidates can improve their speed and accuracy in answering questions.4. Develop Time Management SkillsDuring the exam, time management is crucial. Candidates should allocate the appropriate amount of time for each section and question. Skimand scan the passages and questions to identify key information and manage time effectively.In conclusion, the 2007 genuine exam questions for the English section of the Postgraduate Entrance Examination require candidates to have proficient listening and reading comprehension skills. By enhancing these skills and following the aforementioned tips for exam preparation, candidates can confidently approach the exam and increase their chances of success.Note: This is a sample response and the actual content of the 2007 genuine exam questions may vary.。
2007年全国初中数学联赛-试题和答案
2007年全国初中数学联合竞赛试题参考答案及评分标准说明：评阅试卷时，请依据本评分标准.第一试，选择题和填空题只设7分和0分两档；第二试各题，请严格按照本评分标准规定的评分档次给分，不要再增加其他中间档次.如果考生的解答方法和本解答不同，只要思路合理，步骤正确，在评卷时请参照本评分标准划分的档次，给予相应的分数.第一试一、选择题（本题满分42分，每小题7分）本题共有6小题，每题均给出了代号为D C B A ,,,的四个答案，其中有且仅有一个是正确的.将你所选择的答案的代号填在题后的括号内.每小题选对得7分；不选、选错或选出的代号字母超过一个（不论是否写在括号内），一律得0分.1. 已知z y x ,,满足x z z y x +=-=532，则zy y x 25+-的值为 （ ） （A ）1. （B ）31. （C ）31-. （D ）212．当x 分别取值20071，20061，20051，…，21，1，2，…，2005，2006，2007时，计算代数式2211x x +-的值，将所得的结果相加，其和等于 （ ） （A ）－1. （B ）1. （C ）0. （D ）2007..3. 设c b a ,,是△ABC 的三边长，二次函数2)2(2b a cx x ba y ----=在1=x 时取最小值b 58-，则△ABC 是 （ ） （A ）等腰三角形. （B ）锐角三角形. （C ）钝角三角形. （D ）直角三角形.4. 已知锐角△ABC 的顶点A 到垂心H 的距离等于它的外接圆的半径，则∠A 的度数是（ ）（A ）30°. （B ）45°. （C ）60°. （D ）75°.5．设K 是△ABC 内任意一点，△KAB 、△KBC 、△KCA 的重心分别为D 、E 、F ，则ABC DEF S S △△:的值为（ ）（A ）91. （B ）92. （C ）94. （D ）32. 6．袋中装有5个红球、6个黑球、7个白球，从袋中摸出15个球，摸出的球中恰好有3个红球的概率是 （ ）（A ）101. （B ）51. （C ）103. （D ）52.二、填空题（本题满分28分，每小题7分）1. 设121-=x ，a 是x 的小数部分，b 是x -的小数部分，则=++ab b a 333____1___. 2. 对于一切不小于2的自然数n ，关于x 的一元二次方程22(2)20x n x n -+-=的两个根记作n n b a ,（2≥n ），则)2)(2(122--b a )2)(2(133--+b a +)2)(2(120072007--+b a =.10034016-3. 已知直角梯形ABCD 的四条边长分别为6,10,2====AD CD BC AB ，过B 、D 两点作圆,与BA 的延长线交于点E ，与CB 的延长线交于点F ，则BF BE -的值为____4_____..4． 若64100+a 和64201+a 均为四位数，且均为完全平方数，则整数a 的值是___17____. 2007年全国初中数学联合竞赛试题参考答案及评分标准 说明：评阅试卷时，请依据本评分标准.第一试，选择题和填空题只设7分和0分两档；第二试各题，请严格按照本评分标准规定的评分档次给分，不要再增加其他中间档次.如果考生的解答方法和本A B CD E FG M N解答不同，只要思路合理，步骤正确，在评卷时请参照本评分标准划分的档次，给予相应的分数.第二试 （A ）一、 （本题满分20分）设n m ,为正整数，且2≠m ，如果对一切实数t ，二次函数mt x mt x y 3)3(2--+=的图象与x 轴的两个交点间的距离不小于2t n +，求n m ,的值.解 因为一元二次方程03)3(2=--+mt x mt x 的两根分别为mt 和3-，所以二次函数mt x mt x y 3)3(2--+=的图象与x 轴的两个交点间的距离为3mt +. 由题意，32mt t n +≥+，即22(3)(2)mt t n +≥+，即222(4)(64)90m t m n t n -+-+-≥. 由题意知，042≠-m ，且上式对一切实数t 恒成立，所以⎪⎩⎪⎨⎧≤----=∆>-,0)9)(4(4)46(,042222n m n m m 22,4(6)0,m mn >⎧⇒⇒⎨-≤⎩⎩⎨⎧=>,6,2mn m 所以⎩⎨⎧==,2,3n m 或⎩⎨⎧==.1,6n m 二、（本题满分25分）如图，四边形ABCD 是梯形，点E 是上底边AD 上一点，CE 的延长线与BA 的延长线交于点F ，过点E 作BA 的平行线交CD 的延长线于点M ，BM 与AD 交于点N .证明：∠AFN =∠DME . 证明 设MN 与EF 交于点P ，∵NE //BC ， ∴△PNE ∽△PBC ，∴PCPE PB PN =, ∴PC PN PE PB ⋅=⋅. 又∵ME //BF ，∴△PME ∽△PBF ，∴PF PE PB PM =, ∴PF PM PE PB ⋅=⋅.∴PF PM PC PN ⋅=⋅,故PFPC PN PM = 又∠FPN =∠MPE ，∴△PNF ∽△PMC ，∴∠PNF ＝∠PMC ，∴NF//MC∴∠ANF ＝∠EDM.又∵ME//BF ，∴∠FAN ＝∠MED.∴∠ANF ＋∠FAN ＝∠EDM ＋∠MED ，∴∠AFN=∠DME. AB CD E F M N P三、 （本题满分25分）已知a 是正整数，如果关于x 的方程056)38()17(23=--+++x a x a x 的根都是整数，求a 的值及方程的整数根.解 观察易知，方程有一个整数根11=x ，将方程的左边分解因式，得[]056)18()1(2=+++-x a x x因为a 是正整数，所以关于x 的方程 056)18(2=+++x a x （1）的判别式0224)18(2>-+=∆a ，它一定有两个不同的实数根.而原方程的根都是整数，所以方程（1）的根都是整数，因此它的判别式224)18(2-+=∆a 应该是一个完全平方数.设22224)18(k a =-+（其中k 为非负整数），则224)18(22=-+k a ，即 224)18)(18(=-+++k a k a .显然k a ++18与k a -+18的奇偶性相同，且1818≥++k a ，而8284562112224⨯=⨯=⨯=，所以⎩⎨⎧=-+=++,218,11218k a k a 或⎩⎨⎧=-+=++,418,5618k a k a 或⎩⎨⎧=-+=++,818,2818k a k a 解得⎩⎨⎧==,55,39k a 或⎩⎨⎧==,26,12k a 或⎩⎨⎧==,10,0k a 而a 是正整数，所以只可能⎩⎨⎧==,55,39k a 或⎩⎨⎧==.26,12k a 当39=a 时，方程（1）即056572=++x x ，它的两根分别为1-和56-.此时原方程的三个根为1，1-和56-.当12=a 时，方程（1）即056302=++x x ，它的两根分别为2-和28-.此时原方程的三个根为1，2-和28-. 第二试 （B ）一、（本题满分20分）设n m ,为正整数，且2≠m ，二次函数mt x mt x y 3)3(2--+=的图象与x 轴的两个交点间的距离为1d ，二次函数nt x n t x y 2)2(2+-+-=的图象与x 轴的两个交点间的距离为2d .如果21d d ≥对一切实数t 恒成立，求n m ,的值.解 因为一元二次方程03)3(2=--+mt x mt x 的两根分别为mt 和3-，所以31+=mt d ； 一元二次方程02)2(2=+-+-nt x n t x 的两根分别为t 2和n -，所以n t d +=22.所以，21d d ≥22)2()3(23n t mt n t mt +≥+⇔+≥+⇔ 09)46()4(222≥-+-+-⇔n t n m t m （1）由题意知，042≠-m ，且（1）式对一切实数t 恒成立，所以⎪⎩⎪⎨⎧≤----=∆>-,0)9)(4(4)46(,042222n m n m m 22,4(6)0,m mn >⎧⇒⇒⎨-≤⎩⎩⎨⎧=>,6,2mn m 所以⎩⎨⎧==,2,3n m 或⎩⎨⎧==.1,6n m 二、（本题满分25分）题目和解答与（A ）卷第二题相同. 三、（本题满分25分）设a 是正整数，二次函数a x a x y -+++=38)17(2，反比例函数xy 56=，如果两个函数的图象的交点都是整点（横坐标和纵坐标都是整数的点），求a 的值.解 联立方程组⎪⎩⎪⎨⎧=-+++=,56,38)17(2x y a x a x y 消去y 得a x a x -+++38)17(2x 56=，即 056)38()17(23=--+++x a x a x ，分解因式得[]056)18()1(2=+++-x a x x （1）显然11=x 是方程（1）的一个根，（1，56）是两个函数的图象的一个交点.因为a 是正整数，所以关于x 的方程 056)18(2=+++x a x （2）的判别式0224)18(2>-+=∆a ，它一定有两个不同的实数根.而两个函数的图象的交点都是整点，所以方程（2）的根都是整数，因此它的判别式224)18(2-+=∆a 应该是一个完全平方数.设22224)18(k a =-+（其中k 为非负整数），则224)18(22=-+k a ，即 224)18)(18(=-+++k a k a .显然k a ++18与k a -+18的奇偶性相同，且1818≥++k a ，而8284562112224⨯=⨯=⨯=，所以⎩⎨⎧=-+=++,218,11218k a k a 或⎩⎨⎧=-+=++,418,5618k a k a 或⎩⎨⎧=-+=++,818,2818k a k a 解得⎩⎨⎧==,55,39k a 或⎩⎨⎧==,26,12k a 或⎩⎨⎧==,10,0k a 而a 是正整数，所以只可能⎩⎨⎧==,55,39k a 或⎩⎨⎧==.26,12k a 当39=a 时，方程（2）即056572=++x x ，它的两根分别为1-和56-，此时两个函数的图象还有两个交点)56,1(--和)1,56(--.当12=a 时，方程（2）即056302=++x x ，它的两根分别为2-和28-，此时两个函数的图象还有两个交点)28,2(--和)2,28(--. 第二试 （C ）一、（本题满分25分）题目和解答与（B ）卷第一题相同.二、（本题满分25分）题目和解答与（A ）卷第二题相同.三、（本题满分25分）设a 是正整数，如果二次函数a x a x y 710)232(22-+++=和反比例函数xa y 311-=的图象有公共整点（横坐标和纵坐标都是整数的点），求a 的值和对应的公共整点. 解 联立方程组⎪⎩⎪⎨⎧-=-+++=,311,710)232(22x a y a x a x y 消去y 得a x a x 710)232(22-+++＝113a x-，即0113)710()232(223=-+-+++a x a x a x ，分解因式得 []0311)12()12(2=-+++-a x a x x （1）如果两个函数的图象有公共整点，则方程（1）必有整数根，从而关于x 的一元二次方程 0311)12(2=-+++a x a x （2）必有整数根，所以一元二次方程（2）的判别式∆应该是一个完全平方数，而224)18(10036)311(4)12(222-+=++=--+=∆a a a a a .所以224)18(2-+a 应该是一个完全平方数，设22224)18(k a =-+（其中k 为非负整数），则224)18(22=-+k a ，即224)18)(18(=-+++k a k a .显然k a ++18与k a -+18的奇偶性相同，且1818≥++k a ，而8284562112224⨯=⨯=⨯=，所以⎩⎨⎧=-+=++,218,11218k a k a 或⎩⎨⎧=-+=++,418,5618k a k a 或⎩⎨⎧=-+=++,818,2818k a k a 解得⎩⎨⎧==,55,39k a 或⎩⎨⎧==,26,12k a 或⎩⎨⎧==,10,0k a 而a 是正整数，所以只可能⎩⎨⎧==,55,39k a 或⎩⎨⎧==.26,12k a 当39=a 时，方程（2）即0106512=-+x x ，它的两根分别为2和53-，易求得两个函数的图象有公共整点)53,2(-和)2,53(-.当12=a 时，方程（2）即025242=-+x x ，它的两根分别为1和25-，易求得两个函数的图象有公共整点)25,1(-和)1,25(-.。
2007年大学生英语竞赛(NECCS)C类决赛真题试卷(精选)(题后含答案及解析)
2007年大学生英语竞赛（NECCS）C类决赛真题试卷（精选）(题后含答案及解析)题型有：1.jpg /> In 1993 the State Rooms at Buckingham Palace were opened to the public for the first time. The income generated funds the majority of the cost of the restoration of Windsor Castle, a part of which was badly damaged by fire during the previous year. It has recently been announced that the Summer Opening will continue beyond the completion of this restoration in 1998 and the State Rooms will, therefore, be open during August and September each year. During this time visitors are able to tour many of the grandest rooms in the Palace. These are furnished with some of the most important pictures and works of art from the Royal Collection, one of the finest art collections in the world. These rooms, which form the nucleus of the working Palace today, are regularly used by The Queen and the Royal Family for official entertaining, Court ceremonial and State functions. Entering the Palace via the Ambassadors’ Entrance and the Quadrangle, visitors arrive at the Guard Room, the traditional entrance to the rooms of the Sovereign. Here the great suite of rooms starts with the Green Drawing Room and includes the Throne Room where loyal addresses are delivered , the Picture Gallery with its outstanding collection of paintings including works by Vermeer, Rubens, Rembrandt, van Dyck and Canaletto, the State Dining Room, the magnificent Blue and White Drawing Rooms, which overlook the gardens, the Marble Hall and the Bow Room. Visitors then leave via the garden where The Queen’s garden parties are held each summer. To ensure visitors enjoy their tour to the full, a comprehensive Official Guide to the State Rooms is available in English, French, German, Italian and Japanese languages for purchase. Admission Tickets Admission tickets may be purchased in advance by telephone, subject to availability. During the Summer Opening, tickets are available on the day or in advance, from 9:00 am, at the Ticket Office in Green Park. Day tickets first-come, are sold on a first-come, first-served basis, with each ticket indicating a specific time to enter Buckingham Palace. For further information, please contact the Visitor Office at Buckingham Palace. Visitors with Disabilities Visitors with disabilities are welcome. Due to certain architectural limitations, wheelchair users and those requiring a wheelchair to complete their visit should write for details to the Visitor Office and ask for an Application Form for Special Arrangement. Statements:32．We know in which of the three palaces the Queen is staying.正确答案：Y解析：文章第一段提到Buckingham Palace，Windsor Castle and the Palace of Holyroodhouseare…office for The Queen，所以该陈述正确。
2007年大学生英语竞赛(NECCS)D类决赛真题试卷(精选)(题后含答案及解析)
2007年大学生英语竞赛（NECCS）D类决赛真题试卷（精选）(题后含答案及解析)题型有：1.jpg /> Food stylist Ruth MacDonald tells us some of the “secrets” of her profession.1. People always ask me; “What’s the secret? How do you make food look like that? Is it real?” I understand why they ask. I mean, the picture in your cookbook doesn’t usually look like the food on your table, does it? But we’ re not magicians.2. In fact, a food stylist has to shop and select ingredients. Yesterday I was doing a TV ad for hamburgers and I needed two slices of tomato. It took me three hours to find a kilo of the right kind of tomatoes in the market.3. A lot of the “secrets”of the job are actually solutions to the problems of light, heat and time in the photographer’s studio. Milk, for example, looks blue in bright light. So I use white glue instead. Cheese looks wet after a little time under hot lights, so we spray it with antiperspirant—the same stuff you spray under your arms! Roast chicken and turkey soon begin to look “tired” in the studio, so I put the meat in the oven for a very short time and then paint it brown. 4. Now my job is a bit easier because simpler, more natural pictures of food are more fashionable. Also, the whole job is quicker because of digital cameras. As a result, food stylists use a little less “magic” than before.26．What is the best description of a food stylist?A．A food stylist chooses photographs of food for ads and cookbooks.B．A food stylist chooses, prepares and arranges food for photographers.C．A food stylist cooks food for photographers.D．A food stylist cooks food for magicians.正确答案：B解析：文章第一段说I mean，the picture in your…we’re not magicians。
2007年考研数学一真题及解析
2007 年考研数学一真题一、选择题 （本题共 10 小题，每小题 4 分，满分 40 分，在每小题给的四个选项中，只有一项符合题目要求，把所选项前的字母填在题后括号内）（1） 当 x 0 时，与x 等价的无穷小量是()A. 1e xB. ln 1 xC.1x 1D. 1 cosx1 x(2)曲线 y=1 ln(1 e x ), 渐近线的条数为()xA.0B.1C.2D.3(3) 如图，连续函数y=f(x) 在区间 [-3 ，-2]， [2，3]上的图形分别是直径为 1 的上、下半圆周，在区间 [-2 ，0]，x f (t )dt[0， 2]的图形分别是直径为 2 的上、下半圆周，设F(x)=.则下列结论正确的是()A. F(3)=3F ( 2)B. F(3)=5F(2)C. F(3)=3F(2)D. F(3)=5F ( 2)4444(4) 设函数 f （ x ）在 x=0 处连续，下列命题错误的是()A. 若 limf ( x)存在，则 f （ 0） =0B. 若 limf ( x) f ( x) 存在，则 f （0） =0x 0xxxC. 若 limf ( x) 存在，则 f ' (0) =0D. 若 limf (x)f ( x) 存在，则 f ' (0) =0xxxx(5) 设函数 （f x ）在（ 0, + ）上具有二阶导数， 且 f "( x) o , 令 u n =f(n)=1,2, ..n, 则下列结论正确的是( )A. 若 u 1 u 2 ，则 { u n } 必收敛B. 若 u 1 u 2 ，则 { u n } 必发散C. 若 u 1u 2 ，则 { u n } 必收敛D. 若 u 1u 2 ，则 { u n } 必发散(6) 设曲线 L ：f(x, y) = 1 (f(x, y) 具有一阶连续偏导数） ，过第Ⅱ象限内的点 M 和第Ⅳ象限内的点N,T 为L 上从点 M 到 N 的一段弧，则下列小于零的是()A.( x, y)dx B.f (x, y)dyC.f ( x, y)ds D.f 'x (x, y)dx f 'y ( x, y)dyrrrr（7）设向量组 1，2，3 线形无关，则下列向量组线形相关的是：()（A ）12 ,23 ,31（ B ）12 ,23 ,3 1（C ）1 2 ,22 ,3 21（D ） 122 ,22 ,3212332 1 1 1 00 （8）设矩阵 A= 1 21 ，B= 0 1 0 11 20 0 0，则A 于B ( )(A) 合同，且相似 (B) 合同，但不相似(C) 不合同，但相似(D) 既不合同，也不相似（9）某人向同一目标独立重复射击，每次射击命中目标的概率为p 0 p 1 ，则此人第 4 次射击恰好第2 次命中目标的概率为： ()（A ） 3p(1 p) 2 (B) 6p(1 p)2 (C) 3 p 2 (1p)2(D) 6 p 2 (1p) 2(10) 设随即变量（ X ，Y ）服从二维正态分布，且 X 与 Y 不相关， f X ( x) ， f Y ( y) 分别表示 X ，Y 的概率密度，则在 Y ＝ y 的条件下， X 的条件概率密度 f X | Y (x | y) 为 ( )（A ） f X (x)(B) f Y ( y)(C) f X ( x) f Y ( y)(D)f X (x)f Y ( y)二． 填空题 ：11－16 小题，每小题 4 分，共24 分，请将答案写在答题纸指定位置上2 11＝_______.（11）x 3 e xdx1（12）设 f (u, v) 为二元可微函数，zf ( x y , y x ) ，则z＝ ______.x(13) 二阶常系数非齐次线性方程y '' 4 y ' 3y2e 2x 的通解为 y ＝ ____________.(14) 设曲面： | x | | y | | z | 1 ，则ò( x | y |)ds ＝ _____________.0 1 0 0 (15) 设矩阵 A ＝0 0 1 0 ，则 A 3的秩为 ________.0 0 0 10 0 0 0（16）在区间（ 0， 1）中随机地取两个数，则这两个数之差的绝对值小于1的概率为 ________.2三．解答题： 17~24 小题，共 86 分.请将解答写在答题纸指定的位置上 .解答应写出文字说明、证明过程或演算步骤 .(17) （本题满分 11分）求函数 f ( x, y) x 2 2y 2x 2 y 2在区域 D {( x, y) x 2y 2 4, y 0}上的最大值和最小值。
高定价2007年高考数学试题汇编——立体几何(二)
Using the research method of literature, meansof observation, behavioralapproach, con ceptual an alysis and the patter n of in formati on-seek ing of local and overseas were an alyzed and compared, Basic pattern strategies of tech no logy in formatio n-seeki ng2007年高考数学试题汇编一一立体几何（二）二、填空题19.（全国I ?理?16题）一个等腰直角三角形的三个顶点分别在正三棱柱的三条侧棱上。
已知正三棱柱的底面边长为 2,则该三角形的斜边长为【解答】一个等腰直角三角形 DEF 的三个顶点分别在正三棱柱的三条侧棱上，/EDF=90° ,已知正三棱柱的底面边长为 AB=2，则该三角形的斜边 EF 上的中线 DG= ',20.（全国n ?理?15题）一个正四棱柱的各个顶点在一个直径为 2cm 的球面上。
如果 正四棱柱的底面边长为 1cm ，那么该棱柱的表面积为 _ - ’ 4 J 二 【解答】一个正四棱柱的各个顶点在一个直径为 2cm 的球面上。
正四棱柱的对角线的长为球的直径，现正四棱柱底面边长为 1cm ，设正四棱柱的高为 h ，二2R=2=山■-匸■'解得h= ，那么该棱柱的表面积为 2+4 ” - cm2.21.（安徽？理?15题）在正方体上任意选择 4个顶点，它们可能是如下各种几何形体的4个顶点，这些几何形体是 ____________ （写出所有正确结论的编号）。
cm2。
•••斜边EF①矩形；②不是矩形的平行四边形；③有三个面为等腰直角三角形，有一个面为等边三角形的四面体；④每个面都是等边三角形的四面体；⑤每个面都是直角三角形的四面体。
数学一真题2007年答案
1 x
又 lim [ + ln(1 + e )] = 0 ，所以 y=0 为水平渐近线；
x x →−∞1 x源自1进一步， lim
x →+∞
y 1 ln(1 + e x ) ln(1 + e x ) ex = lim =1， ] = lim = lim [ 2 + x →+∞ 1 + e x x →+∞ x x →+∞ x x x
∫
x
0
f (t )dt. 则
3 F (3) = − F (−2) . 4 3 F (−3) = F (2) . 4
5 F (2) . 4 5 (D) F (−3) = − F (−2) . 4
(B) F (3) =
【
】
【答案】 应选(C). 【分析】 本题考查定积分的几何意义，应注意 f(x)在不同区间段上的符号，从而搞清 楚相应积分与面积的关系。 【详解】 根据定积分的几何意义，知 F(2)为半径是 1 的半圆面积： F (2) = F(3)是两个半圆面积之差： F (3) =
完全类似例题见《经典讲义》P.28 例 1.63, 例 1.64, 例 1.65 及辅导班讲义例 1.6. (2)曲线 y =
1 + ln(1 + e x ) ，渐近线的条数为 x
(A) 0. (B) 1. (C) 2. (D) 3. 【 】 【答案】 应选(D). 【分析】 先找出无定义点，确定其是否为对应垂直渐近线；再考虑水平或斜渐近线。 【详解】 因为 lim[ + ln(1 + e )] = ∞ ，所以 x = 0 为垂直渐近线；
+
1− e x .
2007年大学生英语竞赛(NECCS)A类(研究生)初赛真题试卷(题后含答
2007年大学生英语竞赛（NECCS）A类（研究生）初赛真题试卷(题后含答案及解析)题型有：1. Listening Comperhension 2. V ocabulary and Structure 4. Reading Comperhension 5. Cloze 6. Translation 7. IQ Test 8. WritingPart I Listening ComperhensionSection A听力原文：A: Bye, Mark, have a nice weekend.B: Thanks, same to you. Doing anything exciting?A: No, not really. We were thinking of going to the beach, but I don’t think Martin is well enough to go. So he will probably stay in and watch TV. And I’ll plant the rose bushes I bought yesterday.Q: What’s the woman going to do this weekend?1．A．Work in the garden.B．Go to the beach.C．Watch TV.正确答案：A解析：女士说他们本打算去海边，但是Matin身体不大好，所以她会plant the rose bushes，而Martin则呆在家里看电视。
听力原文：A: Good morning. Do you have any tickets left for this evening’s performance?B: Let me just have a look. Well, there’re a few seats left in the front stalls. How many tickets do you want?A: Just two.B: Yes, I can give you two in the third row. They are 39 pounds each.A: 39 pounds! I see. All right, I’ll take them.B: That’s 78 pounds altogether. You can come to pick them up by 6:30.Q: What’s the total cost of the tickets?2．A．78.B．39.C．36正确答案：A解析：录音中提到要买2张票，而每张票39pounds，总共78pounds。
2007 年全国中学生英语能力竞赛答案
2007 年全国中学生英语能力竞赛（NEPCS）初赛初一年级组试题参考答案I. 句子理解（Sentences）1—5 BDCAAII. 问句应答（Responses）6—10 BBADCIII. 对话理解（Dialogues）A) 11—15 ACBCDB) 16—20 CACBDIV. 短文理解（Passages）A) 21—25 CADBCB) 26. November 10th 27. Red 28. Big 29. an ID card 30. 760-5972笔试部分（共七大题，计120 分）I. 选择填空（Multiple-choice）31—35 DBDAC 36—40 BDBAA 41—45 CCBDA 46—50 ACDCBII. 阅读理解（Reading comprehension）A) 51—55 ACBCDB) 56. lots of money 57. 3 / three hours 58. (only) a bone 59. plant a tree 60. $5 / 5 dollars61. five 62. shopping / to the mall 63. Stamp collecting 64. (going) swimming 65.其他的学生最喜欢绘画。
66. Over / More than 200. 67. At midnight. 68. Harry Potter. 69. Yes, we can.70. 这些网站提供有关哈利·波特和他朋友们的信息。
III. 完形填空（Cloze）A) 71. its 72. and 73. in 74. bags 75. Sometimes 76. world蒺s 77. American 78. can 79. also 80. deliciousB) 81. drive 82. stay 83. is 84. are 85. goes 86. to buy 87. to read / reading 88. visit 89. knows 90. livesIV. 句式转换（Sentence pattern transformation）91. What; price 92. is in 93. My favourite 94. is from 95. is behindV. 翻译（Translation）96. There are five birds in that tree.97. Why do you want to join the art club?98. I can蒺t afford a new car.99. Does Jack learn about Chinese history from Beijing Opera?100. Let蒺s play computer games.VI. 智力测试（IQ）101. Relax. / 放松。
2007年数一真题试题+答案
2007 年全年硕士研究生入学统一考试数学一试题一、选择题： 1～10小题,每小题 4分,共40 分,下列每题给出的四个选项中 题目要求 , 请将所选项前的字母填在答题．纸．．指定位置上． (1)当 x 0 时,与 x 等价的无穷小量是 ( )(A) 1 e x. (B) ln 1 x. (C) 1 x 1. (D) 1 cos x . 1x 答案： (B) .(2) 曲线 y 1ln(1 e x) 渐近线的条数为 ( )x(A) 0. (B)1.(C)2.(D)3.答案： (D) .(3)如图,连续函数 y f ( x)在区间 3, 2, 2,3 上的图形分别是直径为 1的上、下半圆周,在区 间 2,0 , 0,2 上的图形分别是直径为 2 的上、下半圆周 , 设 F(x) f (t)dt, 则下列结论正确 的是 ( )3(A) F(3) F( 2). (B)4 3(C) F( 3) F(2) . (D)4答案： (C) .(4)设函数 f(x)在x 0处连续 ,则下列命题错．误．的是( )(A) 若lim xf (x)存在,则 f (0) 0. 0x (B) 若 lim x0 f(x) f( x)存在,则 f (0) 0. x (C) 若 lim f (x)存在,则 f (0) 存在. (D)若lim f(x) f( x)存在,则f (0)存在x 0xx0x答案：(D) .(5)设函数 f (x) 在 (0, ) 上具有二阶导数 ,且f (x) 0,令u n f(n) (n 1,2, ) ,则下列结论正 确的是()(A) 若 u 1 u 2 , 则 u n 必收敛 . (B) 若u 1u 2 , 则 u n 必发散 .(C) 若u 1 u 2,则 u n 必收敛 .(D)若 u 1 u 2, 则 u n 必发散 ., 只有一个选项符合 5F(3) F(2) .45 F( 3)F( 2).4答案： (D) .(11)(11)(6)设曲线 L: f(x,y) 1( f (x, y)具有一阶连续偏导数 ), 过第Ⅱ象限内的点 M 和第Ⅳ象限内的 点 N , 为 L 上从点 M 到点 N 的一段弧 , 则下列积分小．于．零．的是 ( )(A) f (x,y)dx . (B) f (x,y)dy .(C) f (x,y)ds . (D)f x (x,y)dx f y (x, y)dy .答案： (B) .(7)设向量组 1, 2, 3线性无关 ,则下列向量组线性．相．关．．的是( )(C)12 2, 2 2 3,3 2 1.(D) 1 2 2, 2 2 3, 3 2 1 .答案： (A) .好第 2 次命中目标的概率为 ( )答案： (C) .(10)设随机变量 ( X ,Y)服从二维正态分布 ,且 X 与Y 不相关 , f X (x),f Y (y)分别表示 X,Y 的概率密度 , 则在 Y y 条件下 , X 的条件概率密度 f X Y (x y) 为( )(A) f X (x).(B)f Y (y). (C) f X (x) f Y (y). (D) 答案： (A) .二、填空题： 11～16 小题,每小题 4分,共24 分,请将答案写在答题．纸．．指定位置上211 10 0(8) 设矩阵 A 1 21 , B 01 0 ,则 A 与 B ( )1120 0(A ) 合同,且相似 .(B)合同,但不相似 . (C ) 不合同 , 但相似 .(D)既不合同 , 也不相似答案： (B) .(9)某人向同一目标独立重复射击(A)1 2, 23, 3 1. (B)1 2, 23, 3 1, 每次射击命中目标的概率为 p(0 p 1), 则此人第 4 次射击恰(A) 3p(1 p)2. (B) 6p(1 p)2. (C)22 3p 2(1 p)2. (D)226p 2(1f X (x) f (y)12x13e x dx1x(11)答案：(12)设f(u,v)为二元可微函数 , z f(x y,y x),则x答案：z y x y 1 y x xxf1(x y,y x)yx y1f2(x y,y x)y x ln y(13)二阶常系数非齐次线性微分方程y 4y 3y 2e2x的通解为y . 答案：非齐次线性微分方程的通解为y C1e x C2e3x 2e2x.(14)设曲面: x y z 1, 则(x y)dS .答案：(x y)dS ydS 4 3 3 .3301000 0 1 0 3(15)设距阵A , 则A3的秩为.00010000答案：r A3 1.1(16)在区间(0,1)中随机地取两个数 , 则这两数之差的绝对值小于的概率为 .23答案：3.4三、解答题： 17～24 小题,共 86 分.请将解答写在答题．纸．．指定的位置上 .解答应写出文字说明、证明过程或演算步骤 .(17)(本题满分 11 分)求函数f(x,y) x2 2y2 x2y2, 在区域D (x,y) x2 y2 4,y 0 上的最大值和最小值 . 答案：函数在D上的最大值为f (0, 2) 8 ,最小值为f (0,0) 0.(18)(本题满分 10 分)24计算曲面积分I xzdydz 2zydzdx 3xydxdy, 其中为曲面z 1 x2 y (0 z 1)的上侧 .答案：I .(19)(本题满分 11 分 )设函数f(x), g(x)在a,b 上连续 ,在(a,b)内二阶可导且存在相等的最大值 ,又f(a)＝g(a), f (b)＝g(b),证明：存在(a,b),使得f''( ) g''( ).证明：设(x) f(x) g(x),由题设f ( x), g ( x)存在相等的最大值 ,设x1 (a,b),x2 (a,b) 使f(x1) max f(x) g(x2) max g(x) .[a.b] [ a.b]若x1 x2,即f ( x)与g( x)在同一点取得最大值 ,此时,取x1,有f ( ) g( )；若x1 x2, 不妨设x1 x2,则(x1) f(x1) g(x1) 0, (x2) f(x2) g(x2) 0, 且(x)在a,b 上连续,则由零点定理得存在(a, b),使得( ) 0,即f( ) g( )；由题设f (a)＝g(a), f(b)＝g(b),则(a) 0 (b),结合( ) 0,且(x)在a,b 上连续 ,在(a,b) 内二阶可导 ,应用两次使用罗尔定理知：存在 1 (a, ), 2 ( ,b),使得( 1)＝0, ( 2) 0 .在[ 1, 2 ]再由罗尔定理 ,存在( 1, 2)，使( ) 0.即f ( ) g( ).(20)(本题满分 10 分 )设幂级数a n x n在( , )内收敛,其和函数y(x)满足y 2xy 4y 0, y (0) 0, y (0)1. n02证明a n 2a n,n 1,2, .(I)n1(II) 求y(x) 的表达式 .答案： (I) 证明：对y a x n n,求一阶和二阶导数 ,得y na n x n 1,y n(n 1)a n x n 2,n0 n1 n 2代入y 2xy 4y 0,得n(n 1)a n x n 22x na n x n 1 4 a n x n0 .n 2 n 1 n 0即(n 1)(n 2)a n 2x n2na n x n4a n x n0.n 0 n1 n 02a 2 4a 0 0 2n 1,2, , 从而 a n 2 a n ,n 1,2, .(n 1)a n 2 2a n 0, n 2 n 1 n2(II) y xe x.(21) ( 本题满分 11 分 )x 1 x 2 x 3 0x 1 2x 2 ax 3 0(1) 与 方程x 1 2x 2 x 3 a 1 2 x 1 4x 2 a x 3 0值及所有公共解 .方程组 (1) 与 (2) 的公共解 .(2) 的公共解 .(22) ( 本题满分 11 分 ) 特征向量 .记 B A 54A 3E ,其中 E 为 3阶单位矩阵 .(I) 验证 1是矩阵 B 的特征向量 ,并求 B 的全部特征值与特征向量； (II) 求矩阵 B . 答案：(I) 由 A 1 1,可得 A k1 A k 1(A 1) A k 11 1, k 是正整数 ,则B 1 (A 5 4A 3 E) 1 A 5 1 4A 31 E 1 1 4 1 12 1,于是 1 是矩阵 B 的属于特征值 1 2 特征向量 .所以 B 的所有的特征向量为：对应于 1 2的全体特征向量为 k 1 1,其中 k 1是非零任意常数,对应于 2 3 1的全体特征向量为 k 2 2 k 3 3,其中 k 2,k 3是不同时为零的任意常数设线性方程组 (2) 有公共解 , 求 a 得答案：当 a 1时, (Ab) 1 0 0 0 1 1 0 0 1 0 0 0 00 0 0, 所以方程组的通解为 k(1,0, 1)T, k 为任意常数 , 此即为 当 a 2 时 , (Ab) 1 0 0 0 110 01 1 1 0 00 1 0, 此时方程组有唯一解 (0,1, 1)T, 此即为方程组 (1) 与 设 3 阶实对称矩阵 A 的特征值1 1,2 2,3 2, 1(1, 1,1)T是 A 的属于 1 的一个2 0 0 0 1 1 (II) B P 0 1 0 P 11 0 1 . 0 0 1 1 1 0(23) (本题满分 11 分) 2 x y,0 x 1,0 y 1, 设二维随机变量 ( X ,Y)的概率密度为 f(x, y)0, 其他 ,(I) 求 P X 2Y ；(II) 求Z X Y 的概率密度 f Z (z).答案： 1 1 x 15 2 7(I) P X 2Y 0 dx 02(2 x y)dy 0 (x x 2)dx .8 24 2z z 2, (II) f Z (z) z 24z 4, 0, (24) (本题满分 11 分) 0 z 1, 1 z 2,其他.设 总 体 X 的 概 率 密 度 为 f(x; )1, 2,1 , x 1, 其 中 参 数 (0 1) 未 2(1 ) 0, 其他知,X 1,X 2,...X n 是来自总体 X 的简单随机样本 , X 是样本均值 (I) 求参数 的矩估计量 ； 22(II) 判断 4X是否为 2的无偏估计量 , 并说明理由 . 答案： 1 (I) 2X ；222 22 1 2E(4X ) 4E(X ) 4(DX (EX)2) 4( DX (EX)2) , n1 12 1 2E(X) , E(X 2) (1 2 2),4 2 62 2 5 1 2D(X) E(X 2) (EX)2 2,48 12 12代入得E(4X2) 5 3n 3n 1 3n 1 2 2,所以4X2不是2的无偏估计量12n 3n 3n。
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的家庭用电量，在一月上旬连续7天，同一时刻Ａ31和186 B 62或93 C 31和186 或62 和93 D 124 和93
P到B
40
三种物体的重量判断正确的是（）
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B、a＜b C a＞c D、b＜c
12、甲同学五次考试数学考试平均分为92分（满分分），那么他每次考试的分数不得低于
）。
张华于2007年6月5日存入定期1
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的倍数，并且能被5整除，则这个数最小
10%，现在这堆沙土的重量是原来的
20%，余下的长恰好比第二天修的长
2分钟，结果两人同时到达，则乙走完全
程所需时间为 分钟
7、打谷场上有一近似圆锥的小麦堆共重4
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倍
89、刘晓每天早晨沿长与宽相差40米，则这个长方形操场的面积是 平方米
10的顺序排列为1、1、2、3、5、8……，三、计算题（每小题5分，共15分） 1、2÷（80%×1141－1.25×54）×（741 2、
1479
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3、24.8加上0.8的6倍所得的和被1.85与
四、走进生活
1、宝鸡商场计划每月销售900月份销售任务又增加了30%，若黄金周这售多少台才能完成本月计划？
2、今年陕西省推行居民医疗保险，住院治疗的病人可享受分段报销，具体报销细则如下表： 6根，若拼接
5倍，
1）如图两平行线间五种不同图形，它们的面积关系是
2）直线L1平行L2，直线L1上是否存在一点P,使△ABP的面积等于△ABC的面积？
（填“存在”或“不存在”），若存在则这样的点有个
3）如图在梯形ABCD 中，AB平行于CD，AC与BD 相交于点O ,则图中面积相等的三角形共有对
2、推广应用
4）已知正方形ABCD和正方形OEFG的边BC、CE在同一直线上，且正方形ABCD的边长为80米，求△BDF的面积
5）如图，五边形ABCDE是一片荒地的示意图，陈家承包后想将其中的小路E—M——N改成直路EG，然后在直路EG，然后在直路EC两旁分别种植不同的蔬菜，并使改道前后路两旁的面积，保持不变，请你左图中画出这条直路。
（图中体现画法1）。