Đề thi KSCL Tiếng Anh và Toán 12

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Trường THPT Triệu sơn 2 Đề thi khảo sát chất lượng lớp 12 Năm học : 2010 – 2011 Môn thi : Tiếng Anh – Thời gian : 90 phút Họ và tên : ..................................................................... SBD.......................Phòng thi ......................................... (Đề thi có 07 trang 80 câu) QUESTIONS 1 - 5: Mark the letter A, B, C or D on your answer sheet to indicate the word that differs from the rest in the position of the main stress in each of the following questions 1. A. Canadian B. vegetarian C. pedestrian D. incredible 2. A. edible B. classify C. terrify D. solidify 3. A. associate B. operate C. integrate D. recognize 4. A. ambitious B. dangerous C. mysterious D. expensive 5. A. secretary B. necessary C. classify D. vocabulary QUESTIONS 6 – 35: Mark the letter A, B, C or D on your answer sheet to indicate the correct answer to each of the following questions 6.The lower _______ is in a room, the more slowly our eyes focus. A. the level of lighting B. light level C. leveling of light D. lighting is level 7.The wind-rippled sand at California's Kelso Dunes resembles_______ . A. to be an ocean floor B. as an ocean floor C. an ocean floor D. being an ocean floor 8.Living organisms contain more water_______ substance. A. than do any other B. does than any other C. other than do they any D. than any other 9. Nowadays, many people________ going to the cinema to reading the same story in a book. A would rather B. like C. would prefer D. prefer 10. More than anything, what saved Jamestown was the highly successful cultivation of tobacco, ________ Indian assistance with farming undoubtedly played a major part as well A. although B. in spite of C. nor D. neither 11. According to legend, coffee beans_________in the town of Kaffa. A. first discovered B. were first discovered C. discovered first D. have first discovered 12.Martin Luther King Jr, after his father's assassination, __________ the mission of his father to fight for the rights of blacks in America and achieved some notable success in the 1970s. A. continued B. continuing C. and continues D. is continuing 13. In the symphony orchestra, bass drums are not _________ kettle drums. A. as prevalent B. that prevalent C. so prevalent as D. prevalent than 14. Narcissus bulbs _________ at least three inches apart and covered with about four inches of well drained soil. A. should be planted B. to plant C. must planting D. should plant 15. Total color blindness, __________ ,is the result of a defect in the retina. A. a rare condition that B. a rare condition C. that a rare condition D. is a rare condition 16. In the fourteenth century, ______ that glass coated with silver nitrate would turn yellow when fired in an oven. A. the discovery B. it was discovered 1
C. with the discovery D. if it was discovered 17. ________ electric eels send a series of blips of electricity into the water around them and they can detect the pattern of electricity of the water changes. A. All of B. Every C. All D. Of each 18. I gave up smoking, ________surprised all other members of my family. A this B. that C. it D. which 19. Can you give me advice about ________ ? A. what to eat B. to eat what C. what should I eat D. what for eating 20. ________ my complaint to the manager, the waiter was sacked. A. Thanks to B. Despite C. Without D. Because of 21.The sea horse uses___________ to cling to the seaweed and other plants. A. it has a tail B. a tail with which it C. its tail D. as its tail 22.The human skin forms ________ against the action of physical, chemical, and bacterial agents on the deeper tissues. A. protective a barrier is B. a protective barrier C. a barrier protect D. a barrier protects 23.The swallows of Capistrano are famous _________ to the same nests in California each spring. A. to return B. who returned C. they returned D. for returning 24.The invention in the 1920s of the Corning ribbon _______ important, because from that time on the price of a light bulb plunged. A. machine was B. while a machine was C. had a machine D. for the machine 25. In 1950, aspirin earned a place in the Guinness Book of World Records _______ . A. in the world’s best selling painkiller B. in the world as a best selling painkiller C. as the world’s best selling painkiller D. of the world's best-selling painkiller 26.Perhaps we should think in terms of raising interest rates _______ them, in consideration of the new reports about inflation reported last June. A. then reducing B. and reduce C. although reduce D. rather than reducing 27._____bacteria in foods are killed, as they are during baking or stewing, decay is slowed down. A. What B. The C. If D. So 28.The Pulitzer Prize has been _______ in American literature for more than seventy years. A. the award most prestigious that B. the most prestigious award C. a prestigious award that most D. most prestigious award 29. Spain and Portugal's competition for economic domination in the Americas ______ after Columbus' return to Europe, when they both realized that the Newland could increase their gold reserves. A. began B. begin C. begun D. was beginning 30. The lenses in an optical microscope bend the light passing through a specimen to form an image of that specimen that is much larger __________ actually viewed. A. than it B. than the one C. one than D. than one which 31. In this pure state antimony has no important uses , but ________ with other substances, it is an extremely useful metal. A.when combined physically or chemically B. combined when physically or chemically C.the physical and chemical combination D. it is combined physically and chemically 32. In hot, dry regions, the Sun's heat causes the outer layer of rocks _______ a process called exfoliation. A. are expanded and peeled away B. to expand and peel away C. expands and peels away D. they expand and peel away 33. Industrialization has been responsible for _________ most radical of the environmental 2
changes caused by humans. A. a B. the C. some of which D. which are the 34. For the first time in 70 years, _________ aspirin's potential beyond reducing pain, fever and inflammation. A.researchers began to understand B. researchers begin understanding C.researcher's understanding of D. researchers began their understanding 35.The hourglass, an instrument used ___, usually consists of two bulbs united by a narrow neck. A. measures time B. time is measured C. for measuring time D. the time for measuring QUESTIONS 36 – 45: Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word for each of the blanks The 18th century battlefield was, compared with that of the 20 th century, an intimate theatre, especially intimate in the (36)_____ of the Revolution, which was usually small even by the standards of the day. Soldiers had to come to close quarters to kill; this fact reduced the mystery of the battle, though perhaps not its terrors. But at least the battle field lost some of its impersonality. In fact, in (37)_____ to (with) the 20th century combat, in which the enemy usually remains unseen and the source of incoming fire unknown, in the 18 th century battles the enemy could be seen and sometimes even (38)_____ . (39)______ one's enemy may have arose a singular (40) _____of feeling uncommon in modern battles. Before the (41)_____ occurred tension and anxiety (42) _____ up as the troops marched from their column into a line of attack. The ( 43) _____ of their movements was well understood by themselves and their enemies, who must have watched with feeling of dread and fascination. When the order came sending them (44) ______ ,rages, even madness replaced the attacker's (45) _____, while terror and desperation filled those who received the charge. 36. A. engagement B. success C. attachment D.independence 37. A. connection B. contrast C. contract D. link 38. A. stroked B.touched C. seen D. confronted 39. A. Seeing B. Dealing C. Fighting D. Killing 40. A. despair B. sadness C. intensity D. stress 41. A. assault B. confrontation C. obedience D. order 42. A. stored B. kept C. set D. built 43. A. notion B. purpose C. reason D. trace 44. A. upward B. outward C. forward D. downward 45. A. anxiety B. sympathy C. passions D. nerves QUESTIONS 46 — 50: Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct answer to each of the quetions Most fairy tales in the world begin with "Once upon a time" and end with "They lived happily ever after," so we will begin in the same way. Once upon a time, there was a girl called Cinderella who did all the work in the kitchen while her lazy sister did nothing. One night, her sister went to a ball at the palace. Cinderella was left home, very sad. After a time, her fairy godmother appeared and told Cinderella that she could go to the ball — but to return home by midnight. So she went to the ball in a beautiful dress in a wonderful coach. She danced with the prince but at midnight she ran back home, leaving one of her shoes on her dancing floor. The prince wanted to see her again and went to every house in the capital until he found that the shoe was the right size for Cinderella. She and the prince were married and lived happily ever after. 46. Books with fairy tales are found in _________ . 3
A. our country only B. few countries C. all countries except ours D. many countries 47. According to the passage, fairy tales in different languages usually begin and end _____ . ______ A. in the same way B. in different ways C. in many ways D. in various ways 48. The word "ball" in the first sentence of paragraph 3 means _______ . A. a sport equipment B. a dancing hall C. a balloon D. sphere 49. Cinderella was very sad because ______ . A.her sister did nothing B. her sister went to a ball and left her at home B.she did all the work in the kitchen D. her sister was invited to a ball 50. At the end of the story, _________ . A.Cinderella could go to the ball and its meaning is clear that she and the prince were married B.Cinderella's godmother came to comfort her C.one of Cinderella's sisters was married to the prince D.the prince invited Cinderella to the ball QUESTIONS 51 — 55: Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct answer to each of the quetions In many modern countries, people think of a family as a mother, a father and their children. But this is not the only kind of the family group. In some parts of the world, a family group has many other members. This kind of large family is called an "extended family" or a "joint family". The joint family includes all living relatives on either the mother's or the father's side of the family. It is made up of grandparents, parents, brothers, sisters, uncles, aunts and cousins. They live together in a large house or in huts built close together. Early people probably live in joint families. They had to be part of a large in order to survey. The members of the group help each other hunt. They work together to protect themselves from dangerous animals and other enemies. In China, people lived in joint families. When a son married, he and his wife liv ed at his parents' home. Unmarried daughters remained at home until they married. Chinese children felt very loyal to their parents. Younger members of the joint family always took care of the old ones. India and Africa, some people still live in joint families. The members of a joint family share their earnings and property. If one member of the group becomes ill or has bad luck, the others help the person. As in the past, the members of the joint family offer each other help and protection. 51. The word in paragraph 2 that means "to be made up of” is_______ . A. include B. relatives C. live D. hut 52. Long time ago, members of joint families________ . A.did not live together B. helped each other catch animals C.only played together D. lived separately in order to survive 53. Chinese people felt loyal to their________ . A. relatives B. cousins C. younger members D. parents 54. In India and Africa, people in joint families help a person when ______ . A. he has good luck B. he has bad luck C. he gets rid of illness D. he shares them his earnings 55. On the whole, this story is about________ . A. all types of family B. families in China 4
C.joint families D.families found in India and Africa QUESTIONS 56 – 60: Mark the letter A, B, C or D on your answer sheet to indicate the underlined part that needs correction 56. My father's been worked as a shop assistant for over 15 years. A B C D 57. Peter has gone on a sailing course in spite being unable to swim. A B C D 58. The Concord could fly across the Atlantic without refueling and carrying 11 tons of freight. A B C D 59. Every country has their own traditions, some of which have existed for centuries. A B C D 60. People tend to make a lot of shopping at Xmas time. A B C D QUESTIONS 61 – 70: Choose one option A, B, C or D corresponding to the sentence which has the same meaning as the original one and mark your choice on the answer sheet. 61."You'd better not lend Mark any more money, Elizabeth", said John. A. Johns tells Elizabeth that she would better not lend Mark any more money. B.Johns advised Elizabeth not to lend Mark any more money. C.Johns advised Elizabeth that she had better not lend Mark any more money. D.Johns said to Elizabeth that she would better lend Mark any money. 62. Your car might break down on the rough mountain road, so take plenty of spare parts. A. Take plenty of spare parts so your car will not brake down in rough mountain road. B. In case your case break down in the rough mountain road, take much spare parts. C. In case your case break down in the rough mountain road, spare parts are plentiful. D. In case your car breaks down in the rough mountain road, take plenty of spare parts. 63. "You stole my best cassette, Bob!" said Willy. A. Willy accused Bob for having stolen his best cassette. B. Willy accused Bob of having stolen his best cassette. C.Willy accused Bob on having stolen his best cassette. D.Willy accused Bob to have stolen his best cassette. 64. "Why didn't I get a computer before?" thought Jane. A. Jane wondered why she hadn't got a computer in the previous time. B. Jane wondered why she haven't got a computer in the previous time. C. Jane wondered why she didn't get a computer in the previous time. D. Jane wondered why not she got a computer in the previous time. 65. It is more than one hundred years since the birth of Charles Dicken, the famous Novelist. A. It is more than one hundred years when Charles Dicken, the famous novelist, born. B. More than one hundred years ago, Charles Dicken, the famous born. C. Since Charles Dicken is a famous novelist, he was born more than a hundred years ago. D. Charles Dicken, the famous novelist, was born more than one hundred years ago. 66. Without this treatment, that patient would have died. A. If that patient didn't followed this treatment he would have died. B. If that patient hadn’t undergone this treatment he would have not died. C. If that patient had use this treatment he would have not died. D. If that patient haven’t undergone this treatment he would have not died. 67. Lan didn't apply for the job in the library and regets it now. A.Lan wishes she had applied for the job in the library. B. Lan wishes she have applied for the job in the library. 5
C.Lan wishes she has applied for the job in the library. D. Lan wishes she applies for the job in the library. 68. He failed to find the source of the Mississippi River. A.He didn't succeed for finding the source of the Mississippi River. B.He didn't succeed in finding the source of the Mississippi River. C.He didn't succeed on finding the source of the Mississippi River. D.He didn't succeed to find the source of the Mississippi River. 69. Although she couldn't speak English, Ngo decided to settle in Manchester. A.Despite of speaking no English, Ngo decided to settle in Manchester. B.Although no speaking English, Ngo decided to settle in Manchester. C.In spite of her disability to speak English, Ngo decided to settle in Manchester. D.Ngo decided to settle in Manchester even she did not speak English. 70. The bread is so stale that we can't eat it. A.The bread such stale that we can't eat it. B. We can't eat the bread because of its stale. C.The bread isn't fresh enough to be eaten. D. The bread isn't enough fresh for us to eat. QUESTIONS 71 — 80: Choose one option A, B, C or D corresponding to the best sentence which is made up from the given cue words and then mark your choice on the answer sheet. 71. learn /difficult / English / not / structure / study / vocabulary / you / everyday. A.Learn English is not difficult if you study structure and vocabulary every day. B.It is not difficult to learn English if you study structure and vocabulary every day. C.Difficult English is not learn if you study structure and vocabulary every day. D.You learn English is not difficult if study structure and vocabulary every day. 72. I/ one / old friends / meet / I / shop / supermarket / two days ago. A. I met one of my old friends while I was doing shopping in the supermarket two days ago. B. I met one of my old friends while I was shopping on the supermarket two days ago. C . I me t my o n e ol d f ri e nd s w hi l e I wa s d o in g s ho p pi n g in t h e supermarket two days ago. D. I met one of my old friends while I was shopping to the supermarket two days ago. 73. try / stop / smoke / he / he / never / success / many times. A. He has tried to stop smoke many times but he never succeeded. B. He has tried stop smoking many times but he never succeeded. C. He has tried stop to smoke many times but he never succeeded. D. He has tried to stop smoking many times but he has never succeeded. 74. promise / he / me / send / arrive / post card / as soon as / Madrid. A. He promised send me a post card as soon as he arrived in Madrid. B. He promised to send me a post card as soon as he arrived at Madrid. C. He promised to send me a post card as soon as he arrived in Madrid. D. He promised to sending me a post card as soon as he arrived in Madrid. 75. need / developing countries / research / do / agriculture / problems / so lutions / find. A. Developing countries need doing researches to find solutions to agriculture problems. B. Developin g countries need to do research to find solutions to agricultural problems. C. Developing countries need to do researching to find solutions to agriculture problems. 6
D. Developing countries need to do research to finding solutions to agiculture problems. 76. practise / play / tennis / everyday / she / because / one day / want/ famous / she. A. She practises playing tennis one day because she wants to be famous every day. B. She practise playing tennis every day because she wants famous one day. C. She practise playing tennis every day because she wants being famous one day. D. She practises playing tennis every day because she wants to be famous one day. 77. stop / try / never / you / problem / solution / get. A. Never stop trying until you get the right solution to the problem. B. Never stop trying until you get the right solution of the problem. C. Never stop trying until you get the right solution from the problem. D. Never stop trying until you get the right solution on the problem. 78. exciting / New York / city / most / visit / ever / I. A. New York city is the most exciting I have ever visited. B. New York is the most exciting city I have ever visited. C. New York is the most exciting city I have ever visit. D. New York is most exciting city I have ever visited. 79. drive / dangerous / city / rush hour. A. It is dangerous to drive fastly in the city in the rush hour. B. It is dangerous to drive fast in the city on the rush hour. C. It is dangerous for driving fast in the city in the rush hour. D. It is dangerous to drive fast in the city in the rush hour. 80. he / come / if / station / earlier / train / he / miss. A. If he had come to the station earlier he would not have missed the train. B. If he have come to the station earlier he would not have missed the train. C. If he had came to the station earlier he would not have missed the train. D. If' he had come to the station earlier he would have not missed the train. đáp án, hướng dẫn chấm Đề thi khảo sát chất lượng lớp 12 Năm học : 2008 – 2009 Môn thi : Tiếng Anh 7
Tổng điểm : 10 điểm Câu đáp án thang điểm Ghi chú Từ câu 01 đến câu 35 (3,5 điểm) Mỗi câu đúng được 0,1 điểm 01 b 0,1 B nhấn âm thứ 3 còn A, C, D nhấn âm thứ 2 02 d 0,1 D nhấn âm thứ 2 còn A, B, C nhấn âm đầu 03 a 0,1 A nhấn âm thứ 2 còn B, C, D nhấn 04 b 0,1 B nhấn âm đầu còn A, C, D nhấn âm thứ 2 05 d 0,1 D nhấn âm thứ 2 còn A, B, C nhấn âm đầu 06 a 0,1 07 c 0,1 08 d 0,1 So sánh hơn của danh từ 09 d 0,1 Prefer + Ving….to…..+ Ving : Thích làm cái này hơn cái kia 10 a 0,1 Although + một mệnh đề 11 b 0,1 Dùng dạng bị động của thì quá khứ đơn 12 a 0,1 Dùng động từ chia ở thì quá khứ đơn để hoàn chỉnh một mệnh đề 13 c 0,1 Dùng dạng so sánh bằng ở phủ định 14 a 0,1 Dùng dạng bị động, ý muốn nói là nên được trồng 15 b 0,1 Dùng một cụm danh từ tương ứng 16 b 0,1 17 c 0,1 18 d 0,1 Dùng đại từ quan hệ thay thế, không dùng được that vì đây là mệnh đề quan hệ không hạn định 19 a 0,1 20 d 0,1 Dùng because of mới hợp về nghĩa 21 c 0,1 Dùng tính từ sở hữu Its + danh từ để hợp với chủ ngữ Sea horse 22 b 0,1 Dùng một cụm danh từ (A + Adj + N) 23 d 0,1 Famous for + Ving : Nổi tiếng về cái gì 24 a 0,1 25 c 0,1 26 d 0,1 27 c 0,1 Diễn đạt một điều kiện 28 b 0,1 Hình thức so sánh hơn nhất: The + most +adj + N 29 a 0,1 Dùng động từ ở quá khứ để hoàn chỉnh một mệnh đề 30 b 0,1 31 a 0,1 32 b 0,1 33 b 0,1 34 a 0,1 35 c 0,1 Từ câu 36 đến câu 45 (1,0 điểm) Mỗi câu đúng được 0,1 điểm 36 a 0,1 37 b 0,1 38 b 0,1 39 a 0,1 40 c 0,1 41 a 0,1 42 d 0,1 43 b 0,1 44 c 0,1 45 a 0,1 8
Từ câu 46 đến câu 55 (2,0 điểm) Mỗi câu đúng được 0,2 điểm 46 d 0,2 47 a 0,2 48 b 0,2 49 b 0,2 50 a 0,2 51 a 0,2 52 b 0,2 53 d 0,2 54 b 0,2 55 c 0,2 Từ câu 56 đến câu 60 (0,5 điểm) Mỗi câu đúng được 0,1 điểm 56 a 0,1 Bỏ Been đi 57 c 0,1 In spite of 58 d 0,1 carry vì nó tiếp tục dùng sau could chứ không phải dùng sau without 59 b 0,1 thay their bằng its vì đang nói đến country 60 a 0,1 Đi mua sắm ta dùng do shopping chứ không dùng make shopping Từ câu 61 đến câu 70 (2,0 điểm) Mỗi câu đúng được 0,2 điểm 61 b 0,2 Câu trực tiếp You’d better not chuyển sang gián tiếp có thể dùng cấu trúc Advise + O + not + To infinitive 62 d 0,2 63 b 0,2 Accuse sb of doing something : Kết tội ai vì đã làm gì 64 a 0,2 Chuyển từ câu trực tiếp sang gián tiếp ta lùi lại một thì: Từ quá khứ đơn thành quá khứ hoàn thành 65 d 0,2 66 c 0,2 Đúng cấu trúc câu điều kiện loại 3 và hợp về nghĩa 67 a 0,2 Đây nói về một tình huống ở quá khứ vì thế sau Wish ta dùng thì quá khứ hoàn thành. 68 b 0,2 Succeed in + Ving : Thành công trong việc gì 69 c 0,2 70 c 0,2 Từ câu 71 đến câu 80 (1,0 điểm) Mỗi câu đúng được 0,1 điểm 71 b 0,1 Dùng theo cấu trúc : It + be + adj + to infinitive 72 a 0,1 Dùng in the super market : đang đi mua sắm trong siêu thị 73 d 0,1 Trong tình huống này sau stop + Ving và mệnh đề sau phải dùng ở hiện tại hoàn thành vì hành động đang còn tiếp diễn 74 c 0,1 75 b 0,1 To do research : Làm công trình ngiên cứu 76 d 0,1 77 a 0,1 The right solution to ……. 78 b 0,1 Diễn đạt một lời bình phẩm; dùng dạng so sánh hơn nhất và sau đó dùng thì hiện tại hoàn thành 79 d 0,1 Dùng theo cấu trúc : It + be + adj + to infinitive. Fast vừa là tính từ, vừa là trạng từ. 80 a 0,1 Đúng cấu trúc câu điều kiện loại 3 và đúng về mặt ngữ pháp 9
KEY: 1B/ 2D/ 3A/ 4B/ 5D/ 6A/ 7C/ 8D/ 9C/ 10A/ 11B/ 12A/ 13C/ 14A/ 15B/ 16B/ 17C/ 18C/ 19C/ 20C/ 21C/ 22B/ 23D/ 24A/ 25C/ 26D/ 27C/ 28B/ 29A/ 30B/ 31A/ 32B/ 33B/ 34A/ 35C/ 36B/ 37B/ 38B/ 39A/ 40C/ 41A/ 42D/ 43B/ 44C/ 45A/ 46D/ 47A/ 48B/ 49B/ 50A/ 51A/ 52B/ 53B/ 54B/ 55C/ 56B/ 57A/ 58B/ 59A/ 6OA/ 61B/ 62D/ 63B/ 64A/ 65D/ 66C/ 67A/ 68B/ 69C/ 70C/ 71B/ 72A/ 73D/ 74C/ 75B/ 76D/ 77A/ 78B/ 79D/80A. 10
Generated by Foxit PDF Creator © Foxit Software http://ductam_tp.violet.vn/ http://www.foxitsoftware.com For evaluation only. Sở GD & ĐT Thanh Hoá KÌ THI KHẢO SÁT CHẤT LƯỢNG LỚP 12 Trường THPT Lê Văn Hưu MÔN TOÁN KHỐI B và D Tháng 01/2011 ĐỀ CHÍNH THỨC Thời gian:180 phút (Không kể thời gian phát đề) PHẦN CHUNG CHO TẤT CẢ CÁC THÍ SINH (7.0 điểm) Câu I. (2.0 điểm) x Cho hàm số y = (C) x-1 1. Khảo sát sự biến thiên và vẽ đồ thị hàm số (C) 2. Viết phương trình tiếp tuyến với đồ thị (C), biết rằng khoảng cách từ tâm đối xứng của đồ thị (C) đến tiếp tuyến là lớn nhất. Câu II. (2.0 điểm) 1. Giải phương trình 2cos6x+2cos4x- 3cos2x = sin2x+ 3  2 1 2 x  x  y  2 2. Giải hệ phương trình   y  y 2 x  2 y 2  2  Câu III. (1.0 điểm) 1 2 3 x Tính tích phân  (x sin x 0  1 x )dx Câu IV. (1.0 điểm) 1 1 1 Cho x, y, z là các số thực dương lớn hơn 1 và thoả mãn điều kiện   2 x y z Tìm giá trị lớn nhất của biểu thức A = (x - 1)(y - 1)(z - 1). Câu V. (1.0 điểm) Cho hình chóp S.ABCD đáy ABCD là hình thoi. SA = x (0 < x < 3 ) các cạnh còn lại đều bằng 1. Tính thể tích của hình chóp S.ABCD theo x PHẦN RIÊNG ( 3.0 điểm) Thí sinh chỉ được làm một trong hai phần A hoặc B (Nếu thí sinh làm cả hai phần sẽ không dược chấm điểm). A. Theo chương trình nâng cao Câu VIa. (2.0 điểm) 1. 1. Trong mặt phẳng toạ độ Oxy cho hai đường thẳng (d 1) : 4x - 3y - 12 = 0 và (d2): 4x + 3y - 12 = 0. Tìm toạ độ tâm và bán kính đường tròn nội tiếp tam giác có 3 cạnh nằm trên (d1), (d2), trục Oy. 2. Cho hình lập phương ABCD.A’B’C’D’ có cạnh bằng 2. Gọi M là trung điểm của đoạn AD, N là tâm hình vuông CC’D’D. Tính bán kính mặt cầu đi qua các điểm B, C’, M, N. Câu VIIa. (1.0 điểm) log3 ( x  1)2  log 4 ( x  1)3 Giải bất phương trình 0 x 2  5x  6 B. Theo chương trình chuẩn Câu VIb. (2.0 điểm) 1. Cho điểm A(-1 ;0), B(1 ;2) và đường thẳng (d): x - y - 1 = 0. Lập phương trình đường tròn đi qua 2 điểm A, B và tiếp xúc với đường thẳng (d). 2. Trong không gian với hệ trục toạ độ Oxyz cho điểm A(1 ;0 ; 1), B(2 ; 1 ; 2) và mặt phẳng (Q): x + 2y + 3z + 3 = 0. Lập phương trình mặt phẳng (P) đi qua A, B và vuông góc với (Q). Câu VIIb. (1.0 điểm) Giải phương trình Cxx  2C xx 1  Cxx  2  C x2 2 3 ( Cn là tổ hợp chập k của n phần tử) x k .................HẾT.............. Thí sinh không được sử dụng tài liệu. Cán bộ coi thi không giải thích gì thêm Họ và tên thí sinh .......................................................... số báo danh..................................................
Generated by Foxit PDF Creator © Foxit Software http://ductam_tp.violet.vn/ http://www.foxitsoftware.com For evaluation only. Sở GD & ĐT Thanh Hoá ĐÁP ÁN KÌ THI KHẢO SÁT CHẤT LƯỢNG LỚP 12 Trường THPT Lê Văn Hưu MÔN TOÁN KHỐI B - D Tháng 01/2011 ĐỀ CHÍNH THỨC Thời gian:180 phút (Không kể thời gian phát đề) PHẦN CHUNG CHO TẤT CẢ CÁC THÍ SINH (7.0 điểm) CÂU NỘI DUNG THANG ĐIỂM Câu I 0.25 (2.0đ) TXĐ : D = R\{1} 1. Chiều biến thiên 0.25 (1.0đ) lim f ( x)  lim f ( x)  1 nên y = 1 là tiệm cận ngang của đồ thị hàm số x  x  lim f ( x)  , lim   nên x = 1 là tiệm cận đứng của đồ thị hàm số   x 1 x 1 1 y’ =  0 ( x  1) 2 Bảng biến thiên 0.25 x - 1 + y' - - 1 y + 1 - Hàm số nghịc biến trên (;1) và (1; ) Hàm số không có cực trị Đồ thị.(tự vẽ) 0.25 Giao điểm của đồ thị với trục Ox là (0 ;0) Vẽ đồ thị Nhận xét : Đồ thị nhận giao điểm của 2 đường tiệm cận I(1 ;1) làm tâm đối xứng 2.(1.0đ) Giả sử M(x0 ; y0) thuộc (C) mà tiếp tuyến với đồ thị tại đó có khoảng cách từ tâm đối 0.25 xứng đến tiếp tuyến là lớn nhất. 1 x Phương trình tiếp tuyến tại M có dạng : y   2 ( x  x0 )  0 ( x0  1) x0  1 2 1 x0  x y 0 ( x0  1) 2 ( x0  1) 2 2 0.25 x0  1 Ta có d(I ;tt) = 1 1 ( x0  1) 4 2t (1  t )(1  t )(1  t 2 ) Xét hàm số f(t) = (t  0) ta có f’(t) = 1 t4 (1  t 4 ) 1  t 4
Generated by Foxit PDF Creator © Foxit Software http://ductam_tp.violet.vn/ http://www.foxitsoftware.com For evaluation only. f’(t) = 0 khi t = 1 0.25 Bảng biến thiên x 0 1 + từ bảng biến thiên ta c d(I ;tt) lớn nhất f'(t) + 0 - khi và chỉ khi t = 1 hay f(t) 2  x0  2 x0  1  1    x0  0 + Với x0 = 0 ta có tiếp tuyến là y = -x 0.25 + Với x0 = 2 ta có tiếp tuyến là y = -x+4 Câu 4cos5xcosx = 2sinxcosx + 2 3 cos2x 0.25 II(2.0đ) 0.25 cos x=0 1.  (1.0đ)  2cos5x =sinx+ 3 cos x cos x  0 0.25  cos5x=cos(x-  )  6   0.25  x  2  k   k  x     24 2   k 2 x     42 7 2.(1.0đ) ĐK : y  0 0.5  2 1 2 x  x  y  2  0  2u 2  u  v  2  0   hệ   đưa hệ về dạng  2  2  1 x20  2v  v  u  2  0   y2 y      0.5  u  v u  v  1    u  1  v  u  v  1 Từ đó ta có nghiệm của hệ  2   2v  v  u  2  0  3 7  3 7  u  2  u   2  ,   1  7  v  1  7  v  2  2   3 7 2 3 7 2 (-1 ;-1),(1 ;1), ( ; ), ( ; ) 2 7 1 2 7 1 Câu III. 1 1 x 0.25 (1.0đ) I   x 2 sin x 3 dx   dx 0 0 1 x
Generated by Foxit PDF Creator © Foxit Software http://ductam_tp.violet.vn/ http://www.foxitsoftware.com For evaluation only. 1 2 3 3 0.25 Ta tính I1 =  x sin x dx đặt t = x ta tính được I1 = -1/3(cos1 - sin1) 0 1 x 1 1   0.25 Ta tính I2 =  dx đặt t = x ta tính được I2 = 2  (1  2 )dt  2(1  )  2  0 1 x 0 1 t 4 2  0.25 Từ đó ta có I = I1 + I2 = -1/3(cos1 - 1)+ 2  2 1 1 1 0.25 Câu IV. Ta có x  y  z  2 nên (1.0đ) 0.25 1 1 1 y 1 z 1 ( y  1)( z  1)  1 1   2 (1) x y z y z yz 1 1 1 x  1 z 1 ( x  1)( z  1) Tương tự ta có  1 1   2 (2) y x z x z xz 1 1 1 x 1 y  1 ( x  1)( y  1)  1 1   2 (3) y x y x y xy 1 0.25 Nhân vế với vế của (1), (2), (3) ta được ( x  1)( y  1)( z  1)  8 0.25 1 3 vậy Amax =  x  y  z  8 2 Câu V. 0.5 (1.0đ) Ta có SBD  DCB (c.c.c)  SO  CO S Tương tự ta có SO = OA vậy tam giác SCA vuông tại S.  CA  1  x 2 Mặt khác ta có AC 2  BD 2  AB 2  BC 2  CD 2  AD 2 C D  BD  3  x 2 (do 0  x  3) H 1  S ABCD  1  x2 3  x2 O 4 B A Gọi H là hình chiếu của S xuống (CAB) 0.25 Vì SB = SD nên HB = HD  H  CO 1 1 1 x 0.25 Mà 2  2  2  SH  SH SC SA 1  x2 1 Vậy V = x 3  x 2 (dvtt) 6 Câu 0.5 VIa. Gọi A là giao điểm d1 và d2 ta có A(3 ;0) (2.0đ) Gọi B là giao điểm d1 với trục Oy ta có B(0 ; - 4) 1. Gọi C là giao điểm d2 với Oy ta có C(0 ;4)
Generated by Foxit PDF Creator © Foxit Software http://ductam_tp.violet.vn/ http://www.foxitsoftware.com For evaluation only. (1.0đ) 0.5 Gọi BI là đường phân giác trong góc B với I thuộc OA khi đó ta có I(4/3 ; 0), R = 4/3 2. 1.0 Y (1.0đ) Chọn hệ trục toạ độ như hình vẽ Ta có M(1 ;0 ;0), N(0 ;1 ;1) D' A' B(2 ;0 ;2), C’(0 ;2 ;2) Gọi phương tình mặt cầu đi qua 4 điểm M,N,B,C’ có dạng C' x2 + y2 + z2 +2Ax + 2By+2Cz +D = 0 B' Vì mặt cầu đi qua 4 điểm nên ta có  5 N A   2 1  2 A  D  0  M  2  2 B  2C  D  0  5  B   D A X   2 8  4 A  4C  D  0  1 8  4 B  4C  D  0  C    2 C B D  4  Z Vậy bán kính R = A2  B 2  C 2  D  15 Câu Đk: x > - 1 0.25 VIIa (1.0đ) 3log 3 ( x  1) 0.25 2log 3 ( x  1)  log 3 4 bất phương trình  0 ( x  1)( x  6) log 3 ( x  1)  0 x6 0.25 0 x6 0.25 Giả sử phương trình cần tìm là (x-a)2 + (x-b)2 = R2 0.25 Vì đường tròn đi qua A, B và tiếp xúc với d nên ta có hệ phương trình 0.25 Câu (1  a ) 2  b 2  R 2 VIb  2 2 2 (2.0đ) (1  a )  (2  y )  R 1. ( a  b  1) 2  2 R 2 (1.0đ)  a  0 0.5   b  1 R2  2  Vậy đường tròn cần tìm là: x2 + (y - 1)2 = 2         2. Ta có AB(1;1;1), nQ (1; 2;3),  AB; nQ   (1; 2;1) 1.0 (1.0đ)            Vì  AB; nQ   0 nên mặt phẳng (P) nhận  AB; nQ  làm véc tơ pháp tuyến     Vậy (P) có phương trình x - 2y + z - 2 = 0 Câu 2  x  5 1.0 VIIb ĐK :  (1.0đ) x  N Ta có Cxx  Cxx 1  C xx 1  C xx  2  C x22 3  Cxx1  C xx1  Cx2x2 3  C xx 2  C x2 2 3 x 1  x  (5  x)!  2!  x  3
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