2012-2013年度下期衡阳市八中阶段考试

衡阳市八中高二英语期中考试试题(2012.11.13)总分：100分时量：120分钟命题人：刘君审题人：马曼辉考生注意：本试卷分为四个部分，包括听力、语言知识运用、阅读理解和书面表达。

考试结束后，将答卷收回。

PART ONE LISTENING COMPREHENSIONSECTION A （15%）Directions: In this section, you’ll hear 6 conversations between 2 speakers. F or each conversation, there are several questions and each question is followed by 3 choices. Listen to the conversations carefully and then answer the questions by marking the corresponding letters (A,B or C) on the question booklet.You will hear each conversation TWICE.Conversation 11. When does the conversation probably take place?A. In the morning.B. In the afternoon.C. In the evening.2. How long has the restaurant been open?A. Over 60 years.B. Over 16 years.C. Over 6 years.Conversation 23. For how long haven’t the two speakers met?A. 10 years.B. 15 years.C. 20 years.4. Where does the conversation probably take place?A. At the airport.B. In a hospital.C. In a restaurant.Conversation 35. What will the man do on Monday?A. Meet a visitor.B. Have a business trip.C. Have dinner with the woman.6. When will the man go to the dentist?A. On Tuesday.B. On Wednesday.C. On Thursday.Conversation 47. Where does the man come from?A. Canada .B. America .C. France .8. Why does the man want to buy some records of Charles?A. He broke the same ones.B. His sister likes them very much.C. He wants to give them to his father.9. Where does the woman find the records?A. In the window .B. On the shelf.C. In the suitcase.Conversation 510. What’s the probable relationship between the two speakers?A. colleagues.B. couple.C. business partners.11. What is the woman’s attitude to Vincent’s management style?A. Admirable .B. Doubtful.C. Indifferent.12. Who plays a big part in getting the job for Vincent?A. His uncle .B. His father.C. His aunt.Conversation 613. What will the woman do?A. Have a class.B. Attend a meeting.C. Have a test.14. Why does the man come to see the woman?A. To give his drawings.B. To ask for permission for a course.C. To borrow drawing books with her work.15. When will the woman give the man a reply?A. Tomorrow.B. This evening.C. The day after tomorrow.SECTION B （5 %）Directions: In this section, you will hear a short passage. Listen carefully and then fill in the numbered blanks with the information you have heard. Fill in each blank with NO MORE THAN THREE WORDS.You will hear the short passage TWICE.Summer school courses in BritainPART TWO LANGUAGE KNOWLEDGESECTION A （15%）Directions: Beneath each of the following sentences there are four choices marked A,B ,C and D. Choosethe one answer that best completes the sentence.21．According to _____ UN report, 70 percent of the world population have____ access to huge amounts of information through the Internet from their homes.A．an；不填B．a；an C．an；an D．a；不填22. Though Typhoon Muifa didn’t strike Wenzhou in the end, it still caused great _______ to the local economies.A. damageB. destroyC. ruinD. injury23. Tonghua’s novel “Bu Bu Jing Xin” ha s been ______ for both television and computer games.A. adoptedB. adaptedC. accompaniedD. annoyed24. The father has been ____ for many years in order that his only son can be ____ with higher education.A. fighting; servedB. struggling; equippedC. working; offeredD. labo ring; received25. As for our seniors in West Lake high school, we have reached a point in our life ______ we are supposed to make decisions of our own.A. whichB. whatC. whereD. that26. The captain stood on board, ________ her face and arms _______ in the sun.A. to leave; burntB. to leave; burningC. leaving; burntD. leaving; burning27. I was fortunate to pick up a wallet ______ on the ground, but unfortunately for me I found mycolor TV set _______ when I got home.A. laying; stealingB. lying; stolenC. lay; stolenD. lying; stealing28. The retired workers in Shanghai will have their social security payments ________ 30 per centbefore New Year’s Day.A. raisedB. raisingC. having been raisedD. to be raised29. The film “Let the Bullets Fly” ______ a great success and ______ a large profit to the cinema.A. appreciated; took upB. won; accounted forC. enjoyed; brought inD. seized; cut down30. What surprised me most was that there appeared a ____ look on her face on hearing the unexpected news.A. worryingB. worriedC. worryD. worries31. The limits of a person’s intelligence, generally speaking, are decided at birth, but ______ he reaches these limits will depend on his environment.A. whereB. thatC. whyD. whether32. To a high school student, going to university means a new leaf. ______ before him and being independent is the starting point.A. to be turnedB. being turnedC. to have been turnedD. turned33. _____ his head high, the manager walked into the room to attend the meeting ______ then.A. Holding; being heldB. Held; holdingC. Having held; heldD. Held; to be held34. Only after a person has realized the importance of knowledge, ____________.A. he can devote himself to learnB. he may devote himself to learningC. can he devote himself to learnD. can he devote himself to learning35. ______ the economic crisis getting more and more serious, the government is searching forways to improve people’s life.A. AsB. WithC. WhenD. IfSECTION B （12%）Directions: For each blank in the following passage there are four words or phrases marked A. B. C. and D. Fill in each blank with the word or phrase that best fits the context.As a teacher, my daily activity involves driving to a new school almost every day.On one particular day during my lunch break, I drove to a nearby square to get a coffee. Upon returning to the 36, I realized I had locked my phone and my 37 inside! I had about 15 minutes to get back to the 38. So I hurried into a McDonald’s i n the same square, and asked the man at the counter, who happened to be the 39, to call a taxi for me. After I 40 explained my situation to him, he rushed inside to make the phone while I waited anxiously in the restaurant. I had less than 10 minutes to 41 to my school at this point.A moment later, the manager returned only to tell me that the line was 42, and that he had not been able to 43 the taxi yet. I think both 44 and fear could be seen in my face.Without a thought, he grabbed his coat and 45 to drive me to the school. Without hesitation, I followed him into his car and got back to the classroom with two minutes to 46 before the bell rang!This experience made me 47 that out of every seemingly hopeless situation, there is the opportunity for acts of kindness to happen, which has an unimaginable influence on those who receive them.36. A. shop B. bar C. counter D. car37. A. textbooks B. cards C. keys D. gloves38. A. home B. school C. party D. restaurant39. A. manager B. secretary C. guest D. waiter40. A. slowly B. briefly C. effectively D. successfully41. A. get across B. get around C. get back D. get over42. A. busy B. broken C. full D. ready43. A. take B. repair C. drive D. get44. A. excitement B. anger C. hopelessness D. surprise45. A. offered B. refused C. wanted D. hesitated46. A. wait B. go C. waste D. spend47. A. doubt B. argue C. regret D. realizeSECTION C （8%）Directions: Complete the following passage by filling in each blank with one word that best fits the context.The Dutch have come up with a new way of catching criminals, that's even better 48. ______ fingerprints, it's called smell prints. Apparently, each of us not only has one unmistakable fingerprint and DNA, but we also have a unique scent (嗅觉) 49. ______ is identifiable(可辨认的). In solving a crime, the police can retrieve（检索）an article used by the perpetrator（罪犯）(such as a gun), and extract a smell print 50. ______ the object in as little as 20 minutes. The smell can then be stored for as long as 4 years. 51. ______ a suspect is apprehended(逮捕), he is asked to wash, and then handle a cloth for a few minutes. The cloth is then placed in a line 52. ______ and a specially trained dog is given the original smell print to examine. The dog is then asked to identify all the smells in the line up. 53. _______ the dog finds a match, he barks at the container identifying which one. To make the evidence admissible(可采纳) in court, the process is repeated 54. _______ this time without the suspects smell. This new crime fighting tool has solved hundreds of 55. _______ in Holland, and they are now starting to archive(存档) known criminals' smells to compare against outstanding crimes.PART THREE READING COMPREHENSION （15%）Directions: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage.AI went into Harrods in London (a huge department store I am sure you have heard of) to buysome Minton china plates for a wedding anniversary which was to be a group gift from friends to other friends in Geneva.Having only 30 minutes between meeting. I whizzed there in a taxi from the office and battled through the milling people on the 2nd day of the sales on the ground floor up to the 5th to the china department. There was a man standing there who was obviously a sales person who I rushed up to and asked if he had this particular china in stock and if it would take long to wrap, etc. He was amazing. He got the plates in seconds, wrapped them up and asked me if I wanted a store card, to which I replied no, because I lived in Switzerland, to which he replied asking if, as I lived abroad, would like a tax rebate form(退税表). After that he showed me what to do, produced a map of the store and told me where I should go for the formalities(程序). That was fabulos! I thanked him and said what wonderful service he had given me. I even asked if he gave this to everyone, to which he answered: “I’m just doing what is required at Harrods”. With that, a tall man in a grey suit approached me and offered his hand to shake mine saying, “Can I introduce myself? I am the Chief Executive of Harrods and what an interesting conversation I have just heard…” He had been wandering through the store (as you should do as a hands-on CEO) and had overheard me thanking this salesman, whose face, I can hardlydescribe, was frozen in a mixture of delight awe and astonishment!Can you imagine the salesman going home to his family and friends recounting what the CEO spoke to him after overhearing him being praised by a customer?56. The writer went to Harrods to __________.A. kill timeB. buy some giftsC. go sightseeingD. shop for her wedding57. What does the underlined word “whiz” in Paragraph 2 most probably mean?A. driveB. arriveC. rushD. leave58 Which of the following sentences can best replace “I’m just doing what is required at Harrods”in th second paragraph?A. “I’m an honest man.”B. “I must obey the rules.”C. “Harrods is strict with its employees.”D. “Anybody will receive our goodservice.”59. As soon as she bought what she wanted, the writer________.A. went to a meeting.B. flew back to GenevaC. visited one of her friendsD. attended a wedding ceremony60. The writer wrote the above passage because she thought what she had experience was so ______.A. pleasantB. strangeC. excitingD. amusingBAt just six years old, Joey Kilpatrick is Australia’s unofficial hide-and-seek champion after he hid in a bedroom cupboard for eight hours while playing his favourite game, causing a massive rescue operation.The determined little boy’s disappearing act led to a full-scale search, including nine police officers, five State Emergency Service volunteers, tracker dogs and almost all of the residents(居民) of the town of Goombungee.His mother, Chris, says she called the police when Joey disappeared one afternoon after tellinghis older brother, Lachlan, 14, that he was off to play hide-and-seek.“I called the two boys for dinner, ”Chris says. “After about 20 minutes I started to worry. I was shouting to Joey, ‘OK, we can’t find you, time to come out!’”But there was no sign of her little boy. Within minutes of Chris calling the authorities, the police started on of the biggest grou nd searches in the town’s history.“I was really scared. I rang my husband, Kris, who works out of town, and he immediately hit the road, calling me every 10 minutes, ” Chris recalls. “They searched the house from top to bottom; everyone was out looking fo r him. When a neighbour asked if I’d checked the water tank, that’s when reality hit. I was terrified.”After hours of searching the town, confused police decided to search the house one more time.“I just sat there waiting, ” Chris says. “Then a strange feeling came over me, and I wandered into the bedroom and put my hand on a pile of blankets in the cupboard. As I pulled them out, there he was --- asleep and completely unaware of what was going on! I’ve never hugged him so hard.Senior constable(巡警), Chris Brameld, from Goombungee police, says he is glad that Joey’s game had a happy ending: “When we realized he was safe, we agreed that it doesn’t get much better than that!”And young Joey promises that next time he won’t be so intent on finding t he best hiding place. “I want to say sorry to the policemen and to Mummy for scaring them, ” he says. “ I promise next time I’ll hide where they can find me and I won’t fall asleep!”61. Why did the boy hide in a bedroom cupboard?A. He wanted to start a massive rescue operation.B. He didn’t think he could be easily found there.C. He is Australia’s unofficial hide-and-seek champion.D. He thought it was good place to sleep.62. What did the boy’s mother do the moment she couldn’t find her son?A. She turned to her neighbors for help.B. She called the police and her husband.C. She checked the water tank.D. She searched the town from top to bottom.63. What can we learn from the passage?A. The boy felt very cold when he was found.B. The boy knew clearly what was going on.C. The mother was very grateful to find her boy.D. The mother usually hugged her boy very hard.64. How did the boy feel after he found out what had happened?A. Pitiful.B. Funny.C. Scared.D. Guilty.65. According to the passage, what was the best thing in the end about what happened?A. The boy was found safe.B. The boy fell asleep.C. The boy won the championship.D. The boy found the best hiding place.CWhen parents talk about school safety these days, they’re usually referring to the increase in violence（暴力）at schools. But research shows that school-age children are actually nine times more likely to suffer an injury while doing sports than to be the victim of violence while at school. Accidents can be prevented if parents are on the lookout for potential（潜在的）dangers. To helpyou keep your kids free from harm, here are some safety tips:a. Teach your child never to talk to strangers or accept rides or gifts from strangers. Remember, a stranger is a nyone you or your child doesn’t know well or trust.b. Be sure that your child walks to and from school with a sibling, friend or neighbor.c. Teach your kid, whether walking, biking or riding a bus to school , to obey all traffic signals, signs and traffic officers. Remind him to be extra careful in bad weather.d. When driving your kid, deliver and pick them up as close to the school as possible. Don’t leave until they are in the schoolyard or building.e. If your child rides a bike to school, make sure he wears a standard helmet（头盔）. Research shows that a helmet can reduce the risk of head injury by 85%.f. Teach your kid to arrive at the bus stop earlier, stay off the street, and wait for the bus to come to a complete stop.g. Be sure that your kid knows his or her home phone number and address, your work number, the number of another trusted adult and how to call 911 for emergencies（紧急情况）.66. The underlined word “sibling” probably means “_______”.A. strangerB. neighborC. friendD. brother or sister67. If your kid walks to school, tell him or her to _______.A. wear a helmetB. go alone every dayC. walk as fast as possibleD. be more careful in bad weather68. Which of the following statements is Not True according to the text?A. Kids should be taught never to talk to strangers.B. Kids should obey the traffic rules.C. Kids should be taught to call 911 for anything.D. Kids should stay off the street while waiting for the bus.69. The intended readers of the text are _________.A. teachersB. parentsC. childrenD. officers70. The main purpose of the text is to ________.A. talk about school safetyB. call on readers to fight against school violenceC. discuss the injuries at schoolD. give advice on school-age children’s safetySECTION A (10%)Directions: Read the following passage. Complete the diagram by using the information from the passage.Write NO MORE THAN THREE WORDS for each answer.Laurie and Jake Rohrer live near the small town of Ha’iku on the Hawaiian island of Maui. They have a recording studio in their home. They are helping to support the music of artists who they say are extremely talented yet largely unknown.Jake built a recording studio in their garage. The couple produced a CD with a singer named Ata.The Rohrers wanted to continue producing music, so they established their own record label. They chose the name that one of their artists had given to their home ------ Ululoa.The Rohrers decided to invite only native singers they liked to record with them. They say they give their artists freedom of expression and cultural respect. They also give them half the profits once sales have paid back the cost of producing a CD.There are no contracts (合同). Jake Rohrer says everything is settled with a handshake based on the Hawaiian tradition of pono.In Hawaiian culture, stories are passed down from generation to generation through songs. Many artists say the Rohrer are helping to save this oral tradition. But Laurie Rohrer says they are just trying to produce good music.Laurie Rohrer said, “ It cannot be said that we are doing what we do to preserve Hawaiian culture. But if recording Hawaiian people and their music has an end result, we would be very happy.”Laurie and Jake Rohrer are already watching the next generation of Hawaiian singers. When the best of them are ready, they will be invited to record on the Ululoa label.PART FOUR WRITING (20%)Translation（5%）81. I must have sounded very proud of myself after the test, saying loudly how easy it was and how I was sure to get a good mark..________________________________________________________________________.82. What I’m here to say is that having worked side by side with many environmentalists , I know that a healthy environment and a stable economy should be possible at the same time._________________________________________________________________________.83. Rapid development and an increase in population have meant that the amount of water taken from the river is rising, and that the waste being put back into the river has been increasing ._________________________________________________________________________.84.__________________________(当问到男孩时), boys usually hesitate before responding.85. However, some people believe that cloning human embryos with the intention of destroying them_____________________________________________________(对人类生命的不尊重)。

2013年衡阳市八中第六次阶段检测文科数学试题命题人 廖洪波 审题人 蒋金元 参考公式：样本数据n x x x ,,,21 的标准差；x x x x x x x ns n 其中],)()()[(122221-+-+-=为样本平均数； 柱体体积公式：为底面面积其中S Sh V ,=、h 为高；锥体体积公式：h S Sh V ,,31为底面面积其中=为高；球的表面积、体积公式：,34,432R V R S ππ==其中R 为球的半径。

一、选择题：本大题共9小题，每小题5分，共45分.在每小题给出的四个选项中，只有一项是符合题目要求的.1.设集合M ＝{－1,0,1}，N ＝{x |x 2≤x }，则M ∩N ＝( )A ．{0}B ．{0,1}C ．{－1,1}D ．{－1,0,1}2.已知,x y R ∈，i 为虚数单位，且x i +y=1+i 则(1)x yi ++的值为（ ）A. 2B.2i - C. 4- D. 2i3．“函数x x f a log )(=在区间（0，＋∞）上为增函数”是“a =3A ．充分不必要条件B ．必要不充分条件C ．充要条件D ．既不充分也不必要条件4．若某多面体的三视图如图所示，则此多面体的体积是（）A ．2B ．4C ．6D ．125根据上表，可得回归方程y=bx+a 中的b 为9.4，据此模型，预报使用肥料量为6吨时产量是( ) A ．72.0吨 B ．67.7吨 C ．65.5吨 D ．63.6吨正视图侧视图俯视图6．已知双曲线与椭圆2211664x y +=有共同的焦点，且它的一条渐近线方程为0x y +=，则这双曲线的方程为（ ）A ．2250x y -=B ．2224x y -=C ．2250x y -=-D ．2224x y -=-7．已知非零向量a 、b ，满足a b ⊥，则函数2()()f x ax b =+(R)x ∈是( ) A. 既是奇函数又是偶函数 B. 非奇非偶函数 C. 偶函数 D. 奇函数 8．在ABC ∆中,若bBa A cos sin =,则B 的值为 ( ) A. 300B. 900C. 600D. 4509．已知()f x 是R 上最小正周期为2的周期函数，且当02x ≤<时,3()f x x x =-,则函数()y f x =的图象在区间[0,6]上与x 轴的交点的个数为（ ）（A ）6 （B ）7 （C ）8 （D ）9二、填空题，本大题共7小题，考生作答6小题.每小题5分共30分，把答案填在答题卡中对应题号后的横线上. （一）选做题，（请考生在第10，11两题中任选一题作答，如果全做 ，则按前一题记分） 10.在极坐标系中，过点)4π作圆4sin ρθ=的切线，则切线的极坐标方程是 。

衡阳市八中2012届高三第三次月考试卷理科数学（时 量：120分钟 满 分：150分）一、选择题：本大题共8小题，每小题5分，共40分．在每小题给出的四个选项中，只有一项是符合题目要求的．1. 复数i z a b =+(),a b ∈R 的虚部记作()Im z b =，则1Im 2i ⎛⎫= ⎪+⎝⎭A ．13B ．25C ．13-D ．15-2. 已知向量=(1,2)-，=(,2)x ，若⊥，则||b =AB． C ．5 D ．203. 公差不为零的等差数列第2，3，6项构成等比数列，则公比为 A ．1 B ．2 C ．3 D ．44. “2()4k k Z παπ=-∈”是“tan 1α=-”的Ａ．充分不必要条件Ｂ．必要不充分条件Ｃ．充要条件 Ｄ．既不充分也不必要条件C.D.6. 已知各项均为正数的等比数列{}n a ，1235a a a =，456a a a =789a a a = A ．10 B ． ．8 D7. 函数)3sin(sin x x y -+=π具有性质A ．图象关于点(,0)3π-对称，最大值为1； B ．图象关于点(,0)6π-对称，最大值为2；C ．图象关于直线3x π=-对称，最大值为2；D ．图象关于直线6x π=-对称，最大值为18．已知集合{(,),},U x y x R y R =∈∈{(,)},M x y x y a =+<{(,)|()}P x y y f x ==.现给出下列函数：①xy a =②log a y x =③sin()y x a =+④cos y ax =，若01a <<时，恒有U P C M P =，则()f x 所有可取的函数的编号是A. ①②③④B. ①②④C. ①②D. ④二、填空题：本大题共7小题，每小题5分，共35分．9. 1tan1951tan(15)+︒=+-︒ .10. 已知||||||2a b a b ==-=，则|32|a b -= .11. 正项数列{}n a 满足12a =，21(2)8(2)n n a S n --=≥，则{}n a 的通项公式为n a = .12. 如图，在正方形ABCD 中，已知2AB =，M 为BC 的中点，若N 为正方形内（含边界）任意一点，则AM AN ⋅的取值范围是 .13. 设曲线1*()n y x n N +=∈在点（1，1）处的切线与x 轴的交点的横坐标为n x ,令lg n n a x =，则1299a a a +++的值为 .14. 设x 、y 满足约束条件2044000x y x y x y -+≥⎧⎪--≤⎪⎨≥⎪⎪≥⎩ ，若目标函数z ax by =+(0,0)a b >>的最大值为6，则12()a b+的最小值为 .15. 当n 为正整数时，定义函数()N n 表示n 的最大奇因数．如(3)3,(10)5N N ==，…． 记()(1)(2)(3)(2)n S n N N N N =++++．则（1）(4)S = ．（2）()S n = ．三、解答题：本大题共6小题，共75分．解答应写出文字说明、证明过程或演算步骤． 16.（本小题满分12分）在ABC ∆中，a ，b ，c 是角A ，B ，C 的对边，且cos .cos 2B bC a c=-+ （1）求角B 的大小；（2）若b =，求ABC ∆面积的最大值．17.（本小题满分12分）已知x 满足不等式0log )(log 2222≤-x x ，求函数1224221++⋅-=-a a y xx (R a ∈)的最小值．18.（本小题满分12分）已知数列{}n a 是首项为a 且公比q 不等于1的等比数列，n S 是其前n 项的和，174,2,3a a a 成等差数列.（1）证明：3612612,,S S S S -成等比数列； （2）求和：1473223n n T a a a na -=+++⋅⋅⋅+.19．（本小题满分13分）某园林公司计划在一块O 为圆心,R （R 为常数，单位为米）为半径的半圆形（如图）地上种植花草树木，其中弓形CMDC 区域用于观赏样板地，OCD ∆区域用于种植花木出售，其余区域用于种植草皮出售．已知观赏样板地的成本．．是每平方米2元，花木的利润．．是每平方米8元，草皮的利润．．是每平方米3元． （1）设(COD θ∠=单位：弧度）, 用θ表示弓形CMDC 的面积()S f θ=弓； （2）园林公司应该怎样规划这块土地,才能使总利润最大? 并求相对应的θ．20.（本小题满分13分）已知)(x f 是定义在[,]e e -上的奇函数，当],0(e x ∈时()2ln ,().f x ax x a R =+∈ （1）求)(x f 的解析式；（2）是否存在实数a ，使得当)(,)0,[x f e x 时-∈的最小值是4？如果存在，求出a 的值；如果不存在，请说明理由．21.（本小题满分13分）已知曲线:4,:4()x x n n C y C y n N +*==∈，从C 上的点(,)n n n Q x y 作x 轴的垂线，交n C 于点n P ，再从点n P 作y 轴的垂线，交C 于点111(,)n n n Q x y +++，设111,,n n n x a x x +==-1n n ny b y +=． （1）求数列{}n x 的通项公式；（2）记2352(1)nn n n c b +⨯=⨯-，数列{}n c 的前n 项和为n T ，求证：212155[1()]38n n T --⨯-≤；（3）若已知*3122321()2222n n d d d d n n N ++++=-∈，记数列{}n a 的前n 项和为n A ，数列{}n d 的前n 项和为n B ，试比较n A 与24n B -的大小．衡阳市八中2012届高三第三次月考理科数学参考答案一、选择题：1. D2. B3. C4. A5. C6. A7. A8. B.二、填空题：9．1410． 11．42n - 12．[0，6] 13. 2- 14. 2 15. 由题设知，(2)(),(21)21N n N n N n n =-=-．（1）(4)[(1)(3)(5)(15)][(2)(4)(6)(16)],S N N N N N N N N =+++++++++[13515][(2)(4)(6)(16)]N N N N =+++++++++3323214(3)44(2)444(1)S S S =+=++=+++86=．（2）()[135(21)][(2)(4)(6)(2)],n n S n N N N N =++++-+++++11()4(1)(1),(1)1n S n S n n S N -∴=+-≥==又，12142()444413n n n S n --+∴=+++++=．三、解答题：16. 解：（1）由cos cos sin cos 2cos 2sin sin B b B BC a c C A C =-=-++得…（2分） 即2sin cos cos sin sin cos 0A B B C B C ++=，2sin cos sin()0,sin (2cos 1)0A B B C A B ∴++=+=，又10,sin 0,cos 2A A B π<<∴≠=-则，…（5分）20,3B B ππ<<∴=…（7分） （2）222222cos ,123,4b a c ac B a c ac ac ac =+-∴=++≥∴≤…（10分）11sin 422ABC S ac B ∆=≤⨯=（当且仅当a c =时取等号）…（12分）17．解：解不等式 0log )(log 2222≤-x x ，得 41≤≤x ， 所以 1622≤≤x…（3分）1)2(21122)2(211224222221+-=++⋅-=++⋅-=-a a a a a y x xx xx…（6分）当2<a 时，1)2(212min +-=a y ；…（8分） 当162≤≤a 时，1min =y ；…（10分） 当16>a 时，1)16(212min+-=a y…（12分）18. 解：（1）证明 由4713,2,a a a 成等差数列， 得41734a a a +=，即 .3436aq a aq += 所以14133=-=q q 或（舍去）.…（3分）由 .1611211)1(121)1(123316136=+=----=q q q a q q a S S 1216126126166(1)1111.(1)161a q S S S q q a q S S q ---=-=-==-- 得.12661236S S S S S -= 所以3612612,,S S S S -成等比数列.…（6分） （2）解：.3232)1(36323741--++++=++++=n n n naqaq aq a na a a a T 即 .)41()41(3)41(212a n a a a T n n --⋅++-⋅+-⋅+=…（8分）231111111()2()3()(1)()()444444n n n T a a a n a n a --=-+⋅-+⋅-++-⋅-+- 相减得：231511111()()()()()444444n n n T a a a a a n a -=+-+-+-++---.)41()54(54)41()41(1])41(1[a n a a n a n n n -⋅+-=-⋅-----=所以 161641()().252554n n T a n a =-+⋅-…（12分）19．解：（1）212S R θ=扇，21sin 2OCD S R θ∆=, 21()(s i n )2S f R θθθ==-弓． …（3分） （2）设总利润为y 元，草皮利润为1y 元，花木地利润为2y ，观赏样板地成本为3y221113()22y R R πθ=-，221sin 82y R θ=⋅，231(sin )22y R θθ=-⋅,222212311113()sin 8(sin )22222y y y y R R R R πθθθθ∴=+-=-+⋅--⋅ ．21[3(510sin )]2R πθθ=--…（7分） 设()510sin g θθθ=- (0,)θπ∈． '()510cos g θθ=-'1()0,cos ,()2g g πθθθθ<>∈在（0, ）3上为减函数； '1()0,cos ,()2g g πθθθθπ><∈在（，）3上为增函数． …（12分） 当3πθ=时，()g θ取到最小值,此时总利润最大．答：所以当园林公司把扇形的圆心角设计成3π时，总利润最大． …（13分）20. 解：（1）设[,0),(0,]x e x e ∈--∈则()2ln().f x ax x ∴-=-+-()f x 是奇函数，()()2ln().f x f x ax x ∴=--=--…（3分） 又(0)0f =…（4分）故函数)(x f 的解析式为：2ln(),[,0)()002ln ,(0,]ax x x e f x x ax x x e --∈-⎧⎪==⎨⎪+∈⎩…（5分）（2）假设存在实数a ，使得当[,0),x e ∈-时()2ln()f x ax x =--有最小值是4. 22().ax f x a x x -'=-=…（6分） ①当0a ≥或2,0ea a ⎧≤-⎪⎨⎪<⎩2a e ≥-即时，由于.0)(),0,[≥'-∈x f e x 则故函数()2ln()[,0)f x ax x e =---是上的增函数。

衡阳市八中2012届高三第四次月考文科数学试卷命题： 曾令华 审题: 蒋金元一、选择题：本大题共9小题,每小题5分，满分45分．在每小题给出的四个选项中，只有一项是符合题目要求的． 1。

已知命题P ：,0,≤∈∃xe R x 则⌝P 为（ )A ．0,≤∈∀xe R x B ．0,>∈∀xeR xC ．0,>∈∃xe R xD ．0,≥∈∃xe R x2．在等差数列{}n a 中，22a =，3104,a a =则＝（ ）A ．12B ．14C ．16D ．18 3．已知31tan(),tan(),tan()5646ππαβαβ+=-=+那么=( ）A ．16B ．723C ．1318D ．13224、函数()lg 3f x x x =+-的零点所在区间为 （ ） A （2,3） B (3,)+∞ C(1，2） D （0，1） 5.下列命题中，错误．．的是( ）（A) 一条直线与两个平行平面中的一个相交,则必与另一个平面相交（B ）平行于同一平面的两个不同平面平行(C ）如果平面α不垂直平面β，那么平面α内一定不存在直线垂直于平面β(D ）若直线l 不平行平面α,则在平面α内不存在与l 平行的直线 6.已知向量b a ,，满足6))(2(-=-+b a b a ，21==，则b a 与的夹角为（ ）A. 4π B 。

3π C 。

6π D 。

23π7．函数22cos y x =的一个单调增区间是 （ ）A ．ππ2⎛⎫ ⎪⎝⎭， B ．π02⎛⎫ ⎪⎝⎭， C ．π3π44⎛⎫⎪⎝⎭， D ．ππ44⎛⎫- ⎪⎝⎭，8.数列}{na 中，),()1(2,211*+∈++==N n n n a a an n 则=10a （ ）A.3。

4B.3。

6 C 。

3.8 D 。

4 9．在20,ABC AB BC ABABC ∆⋅+=∆中，若则是 ( ）A ．锐角三角形B ．钝角三角形C ．直角三角形D 。

PART ONE: LISTENING COMPREHENSION (20 points) Section A (15 points) Directions: In this section, you will hear six conversations between two speakers. For each conversation, there are several questions and each question is followed by three choices marked A, B and C. Listen carefully and then choose the best answer for each question. You will hear each conversation TWICE. Conversation one 1. What does the man think of the movement?A. Dangerous.B. Amazing.C. Common. 2. When was the activity accepted as a sport in the Olympic Games?A. In 1984.B. In 1964.C. In 1920. Conversation two 3. How does the man feel after the second job interview?A. Anxious.B. Hopeful.C. Confused. 4. How many persons were able to go to the second interview?A. 4.B. 12.C. 16. Conversation three 5. Which subject did the woman study last night?A. English.B. French.C. Physics. 6. What is the conversation mainly about?A. Dreams.B. Sleep.C. Exams. Conversation four 7. What’s the possible relationship between the two speakers?A. Passer-by and policeman.B. Passer-by and driver.C. Passenger and taxi driver. 8. What is the woman’s house number?A. 1323.B. 3023.C. 4023. 9.Why can’t the man turn left?A. It is rush hour.B. It is a one-way street.C. The street is too narrow. Conversation five 10. Why doesn’t the man order first? A. He is waiting for someone else. B. He wants to check the price first. C. He is unfamiliar with the restaurant. 11.Which of the following does the man order?A. Smoked duck.B. Salted fish.C. Roast beef. 12.What does the man want to drink?A. Coffee.B. Wine.C. Beer. Conversation six 13. Why can’t the man get through?A. The line is busy.B. The line hasn’t been paid.C. The line is not in the service. 14.What do we know about the man?A. He lost his way.B. He had a traffic accident.C. He is stuck in a traffic jam. 15.How many people are there in the car?A. Two.B. Three.C. Four. Section B (5 points) Directions: In this section, you will hear a short passage. Listen carefully and then fill in the numbered blanks with the information you have heard. Fill in each blank with NO MORE THAN THREE WORDS. You will hear the mini-talk TWICE. Greenwood Music CampPeopleStudents of Grades 3 to 16. __________TimeTwo 17. __________ Activity●Study and play with 18. __________ music artists ●Experience rap music, pop music, classical music, rock and roll, 19. __________, country music and so on ●Have 20. __________every night PART TWO: LANGUAGE KNOWLEDGE (35 points) Section A (15 points) Directions: Beneath each of the following sentences there are 4 choices marked A, B, C and D. Choose one answer that best completes the sentence. 21. A bus went out of _____ control on the highway in _____ south of the city.A. the; theB. /; theC. the; /D. /; / 22. The system has been designed to give students quick and easy _____ to the digital resources of the library.A. passageB. accessC. wayD. approach 23. If you visit our home or ring the door bell, you _______ by our dog.A. will be greetedB. will greetC. were greetedD. greeted 24. While relaxing at home, have some flowers next to you ______ smell nice.A. whatB. whoC. whoseD. which 25. It is ______that strong smells can affect the senses.A. to believeB. believingC. believeD. believed 26. ______ we couldn’t find our way out was really bad news.A. WhetherB. WhatC. HowD. That 27. The explorer wrote in his report that the river is now _______.A. as wide as three timesB. three times its original (原来的) widthC. three times as its original widthD. wider three times than its original width 28. Those successful deaf dancers think that dancing is an activity ______ sight matters more than hearing.A. whenB. whoseC. whichD. where 29. --- You have no idea _______? --- What has happened to you, Mary? Tell me about it, will you?A. how I am worriedB. how worried I amC. how worried am ID. how am I worried 30. The English language is made up ______ the grammar and vocabulary these people brought ______ Britain.A. from; aboutB. of; fromC. of; toD. for; to 31.Polly found herself _______ the face of an old man with a beard.A. stare up atB. staring up atC. to stare up atD. stared up at 32. It doesn’t matter ______ you turn left or right at the crossing －33.Studies show that people are more _____ to suffer from back problems if they always sit before computer screens for long hours.A. possibleB. likelyC. probableD. sure 34. John’s success has nothing to do with good luck. It is years of hard work _____ has made him what he is today. A. why B. when C. which D. that 35. --- David has made great progress recently. --- _______, and _______.A. So he has; so you haveB. So has he; so have youC. So he has; so have youD. So has he; so you have Section B (12 points) Directions: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrases that best fits the context. My life suffered a lot five years ago when my father died of an accident, leaving my mother and two younger brothers alone. At that time, I was in a senior high school. As the 36 , I had no choice but to drop out of the school and work in a factory. Life went on without any 37 . I just hoped to bringup two younger brothers. However, that’s not an easy thing, for I couldn’t 38 their tuition (学费) even if I worked from day to night. The present misery (不幸) made me want to have another try, but it seemed 39 , for I couldn’t lose this job any more. A thread of hope sparkled (闪耀 in those 40 days suddenly. It was a rainy dusk when I walked in the rain. Suddenly the rain stopped surprisingly. I raised my head and found that “the sky” was infact a dark blue 41 . Then I heard a deep voice. “Why not run without an umbrella？” one－leg man with a walking stick said to me. “you run, you would get less wet.” He told me he once had dreamed of being a policeman, but an accident ruined his 43 . Later he became a promoter (促销员Though his present work was demanding and didn’t suit for his 44 , every outing was a wonderful start to him. He was glad that he didn’t lose 45 and still “run” on the road of life... 46 by remarks, I became an assurance representative. After two years’ struggle, I made it and my family turned 47 gradually. I returned to my senior school, and eventually succeeded in my entrance to university. Everything is so simple: to run without an umbrella! When you run out of the rainy season of your life, there will be bright sky ahead of you! 36. A. strongest B. youngest C. smallest D. eldest 37. A. delay B. doubt C. wonder D. hesitation 38. A. afford B. manage C. transport D. receive 39. A. illegal B. impractical C. indifferent D. inexpensive 40. A. bright B. gloomy C. sunny D. happy 41. A. umbrella B. raincoat C. shelter D. curtain42. A. Unless B. Because C. Though D. If 43. A. future B. health C. dream D. house 44. A. eye B. leg C. hand D. ear 45. A. control B. temper C. face D. heart 46. A. Advised B. Developed C. Shocked D. Inspired 47. A. fresher B. worse C. better D. warmer Section C (8 points) Directions: Complete the following passage by using ONE word that best fits the context. Dear son, The day that you see me old, have patience and try to understand me. 48.__________ I get dirty when eating, have patience. Remember the hours 49.__________ I spent teaching it to you. When I speak to you, if I repeat the same thing thousands and one times, do not interrupt me50.__________ listen to me. When you were small, I had to read to you thousand and one times the same story51._________ you got to sleep. When you see my ignorance on new technologies, give 52.__________ the necessary time. I taught you 53.__________ to eat, to dress, to confront (面对) life… You must help me to end my life 54.________ love and patience. I will pay you by 55._________ smile and by the immense (无限的) love I have had always for you. I love you, son. Your father PART THREE READING COMPREHENSION (15 points) Directions: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage. A The food we eat seems to have profound effects on our health. Although science has made big steps in making food more fit to eat, it has, at the same time, made many foods unfit to eat. Some research has shown that 80 percent of all human illness are connected with diet and 40 percent of cancer is connected with the diet. Therefore, that food is connected with illness is not a new discovery. In 1940’sscientists realized that nitrates（硝酸盐）, which are often used to keep color of meat, and other additives（添加剂）caused cancer. However these additives remain in our food and it becomes moredifficult to know which additives are helpful or harmful. Farmers sometimes give drugs to animals not because the animals are ill but because they want to sell the animals at higher prices. For example, farmers try hard to make animals grow big so that they can sell the big animals for more money. Although the Food and Drug Administration has tried again and again to control farmers to do so, farmers go on doing this. 56. According to the passage, what has science done to mankind? A. Because of science there is no polluted food any more. B. Science makes food have less value. C. As a result of scientific invention, some things that may be harmful have been added to our food. D. Now the scientists can keep the color of meat but not that of vegetable. 57. What are nitrates used for? A. They keep flavor of food. B. They keep the color of meat. C. They keep food fresh. D. They make animals fatter. 58. According to the passage, which of the following statements is true? A. Some additives besides nitrates can cause cancer. B. All additives cause illness. C. All additives can cause cancer. D. Nitrates except other additives can cause cancer. 59. The word “profound” underlined means .A. goodB. badC. muchD. great 60. Which of the following statements is NOT true? A. Drugs are always given to animals for medical reasons. B. Some additives in our food are added not only to the food but also to the animal. C. Scientists knew that some additives are harmful to people over seventy years ago. D. Food may cause 40 percent of cancer in the world. B Alejandra Pachecho：No. Why not？That is because in this world some people drive very crazily. So most people who use cell phones to talk in the car usually pay more attention to what they are talking about than to driving. One of the reasons that I feel this way is that my friend had a car accident while using a cell phone. He lost his life and his friends did, too. Rodrigo Cruz:That depends. The advantages of using a cell phone while driving are that you can call the police if there is a car accident, call for help when somebody’s car breaks down, and call when somebody needs something before arriving home or at the office. The disadvantage is that people get distracted when they are driving at the same time they are talking on a cell phone. It can cause car accidents. Carl Khalid:No. I would recommend if you want to use a cell phone while you’re driving, pull over and take your time. You will avoid a lot of trouble. There are many advantages of using cell phones in cars. In emergencies such as accidents, a flat tire or engine problem, the cell phone is useful for calling 911 for help. Using the cell phone while driving can save time, but using it while driving can also cause a lot of problems such as missing a red light or signs, not watching cars, or not paying attention to the speed limit. It causes a lot of problems. All these problems could cause loss of concentration. Mirna Hazim:Yes. A cell phone is helpful; it is one of the most important communication devices. For example, if you want to talk with somebody for an important reason, you can. One time when I was coming back from work at 10 o’clock at night, I had a problem in my car. It wouldn’t move. I was scared to go into a store to call my brother because I didn’t know the places there. I thought it could bedangerous. That night I found out that owning a cell phone is important. Who have the same view about using cell phones while driving? Alejandra Pachecho and Rodrigo Cruz Alejandra Pachecho and Carl Khalid Alejandra Pachecho and Mirna Hazim Carl Khalid and Mirna Hazim 62. According to the passage, Rodrigo Cruz_________. A. thinks people can use phones in emergencies while driving B. has seen too many car accidents while driving C. lost a friend due to calling while driving D. advises drivers to pull over to use a phone 63. The underlined word “distracted" in Paragraph 2 probably means_______. A. mad with joy B. sad in heart C. loss of concentration D. cheerful in mind 64. Mirna Hazim called her brother one night when_________. A. her car broke down at an unknown placeB. she tried to find a store to buy communication devicesC. she wanted to find out the importance of a cell phone D. she felt lonely and wanted to talk with somebody 65. Which of the following is the topic of this interview involving the four persons? A. Do you think it necessary to forbid using cell phones while driving? B. Should people be allowed to use cell phones while driving? C. Why should people use cell phones while driving? D. Is it necessary to use cell phones while driving? C High school dropouts（辍学者）earn an average of $ 9,000 less per year than graduates. Now a new study a common belief why they quit. It’s much more than failing in exams at school. Society tends to think of high school dropouts as kids who have to quit school. They are lazy, and perhaps not too clever. So researchers were surprised when they asked more than 450 kids who quit school about why they left. “Most of them actually had passing grades and they were confident that they could have graduated from high school.” John Bridgeland, the executive researcher said. About 1 million teens leave school each year. Only about half of African-American and Hispanic（美籍西班牙的）student will receive a diploma (文凭), and actually all dropouts come to regret their decision. So, if failing grades don’t explain why these kids quit, what does? Again, John Bridgeland said, "The most possible reason was that they were bored.” “They found classes uninteresting; they weren’t inspired or motivated. They didn’t see any direct connection between what they were learning in the classroom to their own lives, or to their possible careers.” The study found that most teens who do drop out wait until they turn sixteen, which happens to be the age at which most states allow students to quit. In the US, only one state, New Mexico, has a law requiring teenagers to stay in high school until they graduate. Only four states: California, Tennessee, Texas and Utah, plus the District of Columbia, require school attendance(就学) until age 18, and another researcher says raising the required attendance age may be one way to keep more kids in school. ? “As these dropouts look back, they realize they’ve made a mistake. And anything that more or less gives these people an extra push to stick it out is probably a helpful measure.” ? New Hampshire may be the next state to raise its school attendance age to 18. But experts say that making the students unwilling to continue their studies to stay in school misses the point－the need for reform. It's been called for to reform high school education to make it more challenging and practical, and to ensure those kids who do stick it out receive a diploma that actually means something. 66. Most high school students drop out of school because＿＿． A. they find school learning boringB. they are lazy and not cleverC. they are looked down upon? ?D. they often fail in exams67. According to the passage, which state will have a law requiring school attendance until 18? A. California? B. Utah. C. New Mexico?D. New Hampshire68. What do the dropouts think of their decision to quit school? A. It was a good idea. B. It was interesting. C. It was a mistake. D. It was a success. 69. What is the author’s attitude towards high school students dropping out of school?A.Indifferent B. Positive C. Negative D. Neutral. 70. What is the purpose of the author writing this article? A. To raise awareness of educational reforming in the USA. B. To introduce the measures to stop students from dropping out of school. C. To introduce the different rules in the USA about students dropping out of school. D. To analyze the reasons why many students drop out of school. PART FOUR: WRITING (30 points) Section A (10 points) Direction: Read the following passage. Complete the diagram by using the information for the passage. Write NO MORE THAN THREE WORDS for each answer. Wealthy Chinese do not have a good reputation(名声), a survey by China Youth Daily and has found. The poll, conducted last week, showed about 70 percent of 3,990 interviewees believe the rich are immoral (不道德) and not worthy of respect. Only 4 percent thought rich people are good, the survey said.For the rich to become popular they need to do three things, the survey suggested. First, they need to have a sense of social responsibility. Second, they need to be self-disciplined (自律的), and third, they need to have a caring heart. The number of people who make at least $50,000 a year increases by 15 percent a year and, according to the China Economic Times, the country now has 1.5 million rich people. The China Youth Daily and survey found interviewees questioned how the rich became rich in the first place. "Some rich people are thought to have gathered their wealth in illegal ways, such as bribery(受贿)," said a post-graduate student at the Communication University of China. Even so, the survey found wealthy people who obey the law, have a sense of social responsibility and a caring heart, are respected. The poll showed about 60 percent thought these kinds of wealthy people were worthy of respect. The survey suggested many voters were much better disposed (倾向) toward rich people from Hong Kong, Macao, Taiwan and Western economies - rather than the mainland. Hong Kong property tycoon (巨头，大亨) Li Ka-shing was most highly regarded, followed by Bill Gates, mainland property tycoon Wang Shi and basketball player Yao Ming. "Rich people on the mainland invest too little in charity (慈善) and gain too much," a student from Beijing Sports University said. Yu Guoming, a professor at Renmin University of China, called on the heads of Chinese companies to think and invest in a long-term way. "Corporate social duty is not only about charity, it also connects the company with the government and the public." TitleOur Nation’s rich have a 71 reputation___72___ of the surveyAbout 70 percent of 3,990 interviewees believe the rich are not ___73___ and not 74 respect. Only four percent thought rich people are good.Things that the rich need to do 1. They need to be responsible for society. 2. They need to be self disciplined. 3. They need to have ___75___. People’s attitudes towards ___76___.1. Some rich people gather wealth in ___77___. 2. People show____78______for people who obey the law and have a sense of social responsibility anda caring heart. 3. Rich people on the mainland 79 too little in charity and gain too much.A professor’s viewCorporate social responsibility is not only about charity, it also connects ___80 with the government and the publicSection B Translation (5 points) 81. “非常感谢您帮助我，” 波利如释重负地说道。

a b c d 20 V V 4 V 衡阳市八中２０１２下期高二期中考试物理试卷（一）选择题 (本题共10小题，每小题5分，共50分.在每题给出的四个选项中，有的小题只有一个选项正确，有的小题有多个选项正确.全部选对的得5分，选不全的得3分，有选错或不答的得0分）1．如图所示为两电阻R1和R2的伏安特性曲线。

则下列说法正确的是：A ．电阻R1的阻值较大B ．电阻R2的阻值较大C ．R1、R2串联后的Ｉ－Ｕ图象位于图中的B 区D ．R1、R2并联后的Ｉ－Ｕ图象位于图中的B 区2．一个直流电动机正常工作时，所加电压为U ，电流为 I ，线圈内阻为 R ，下述说法中正确的是：A ．电动机输出的机械功率为IUB ．电动机的发热功率为U2／RC ．电动机输出的机械功率为IU-I2RD ．电动机的电功率可写作P=IU=I2R=U2/R3．图中的甲、乙两个电路，都是由一个灵敏电流计G 和一个变阻器R 组成，它们之中一个是测电压的电压表，另一个是测电流的电流表，那么以下结论中正确的是A ．甲表是电流表，R 增大时量程增大B ．甲表是电流表，R 增大时量程减小C ．乙表是电压表，R 增大时量程减小D ．乙表是电压表，R 增大时量程增大4．a 、b 、c 、d 是匀强电场中的四个点，它们正好是一个矩形的四个顶点.电场线与矩形所在平面平行。

已知a 点的电势为20 V ，b 点的电势为24 V ， d 点的电势为4 V ，如图，由此可知c 点的电势为 A ．24 V B ．12 VC ．8 VD ．4 V 5．如图所示，在a 、b 两点上放置两个点电荷，它们的电荷量分别为q1、q2，MN 是连接两点的直线，P 是直线上的一点，下列哪种情况下P 点的场强可能为零A. q1、q2都是正电荷，且q1>q2B. q1是正电荷，q2是负电荷，且q1<∣q2∣C. q1是负电荷，q2是正电荷，且∣q1∣>q2D. q1、q2都是负电荷，且∣q1∣<∣q2∣6．M 、N 是两个电量相等的正的点电荷，它们连线的中点是O ，A 、B 是中垂线上的两点，a P M q 1 q 2M N a b224d Q kOB OA <，用EA 、EB 、ΦA 、ΦB 分别表示A 、B 两点的场强和电势，则.A ．EA 一定大于EB ，ΦA 一定大于ΦBB ．EA 不一定大于EB ，ΦA 一定大于ΦBC ．EA 一定大于EB ，ΦA 不一定大于ΦBD ．EA 不一定大于EB ，ΦA 不一定大于ΦB7．在如图所示的电路中，当滑动变阻器的滑片向b 端移动时A ．电压表○V 的读数增大，电流表○A 的读数减小B ．电压表○V 和电流表○A 的读数都增大C ．电压表○V 和电流表○A 的读数都减小D ．电压表○V 的读数减小，电流表○A 的读数增大8．如图所示，MN 是一负点电荷产生的电场中的一条电场线。

衡阳市八中2012年下期模块过关测试高二数学（理）考生注意：本卷共21道大题，满分100分，考试时间120分钟。

请将答案写在答卷纸上。

一、选择题：（每小题3分，共24分，请将答案涂在答题卡的区域内） 1．若命题p 为真命题，则下列说法中，一定正确的是 ( ) A ． p 的逆命题为真命题 B ．⌝p 为真命题 C ． p 的否命题为假命题 D ．⌝p 为假命题2．双曲线22142x y -=的焦点坐标是 ( ) A ． (-6，0)，(6，0) B ． (6-，0)，(6，0) C ． (-2，0)，(2，0) D ． (2-，0)，(2，0)3．直三棱柱ABC —A 1B 1C 1中，若c CC b CB a CA ===1,,， 则1A B = ( )A ．a +b －cB ．a －b +cC ．－a +b +cD ．－a +b －c4．设抛物线28y x =焦点为F ，点P 在此抛物线上且横坐标为4，则|PF |等于 ( ) A ． 2 B ． 4 C ．6 D ． 85.若焦点在x 轴上的椭圆1222=+my x 的离心率为21，则m = （ ） A ．3 B ．38C ．23 D ．32 6．在棱长为1的正方体ABCD —A 1B 1C 1D 1中，M 和N 分别为A 1B 1和BB 1的中点，那么直线AM 与CN所成角的余弦值是（ ）A ．52-B ．52C ．53D ．10107．如图，在三棱锥A —BCD 中，DA ，DB ，DC 两两垂直，且DB=DC=2，点E为BC 的中点，若直线AE 与底面BCD 所成的角为45O，则三棱锥A —BCD 的体积等于( ) A ．23 B ． 43 C ．2 D ． 2238．抛物线22x y =上两点),(11y x A 、),(22y x B 关于直线m x y +=对称， 且2121-=⋅x x ，则m 等于（ ） A ．23 B ．2 C ．25D ．3O xyABlA 1A 2yB 2B 1AO BCD F 1 F 2 xPABCDM二、填空题：（每小题4分，共28分,请将答案填在答题卡的区域内） 9.顶点在原点，焦点是()5,0F 的抛物线方程是10．已知向量(2,1,2),(4,2,)a b x =-=-，若a ⊥b ，则=x ______；若//a b则 =x ______。

请考生注意：本试题卷共三大题21小题，全卷满分100分，考试用时120分钟. 请将答案写在答卷上.一、选择题：（本大题共10小题，每小题3分，共30分.在每小题给出的四个选项中，只有一项是符合题目要求的.）1．0sin 390= ( )A ．21B ．21-C ．23D ．23- 2．已知cos 0tan 0θθ><且，那么角θ是 （ ） Ａ．第一象限角 Ｂ．第二象限角 Ｃ．第三象限角Ｄ．第四象限角 （2）函数2cos()53y x π=+的最小正周期是 （ ）A 5πB 52π C 2π D 5π 4.，则），（，），（设2142-=-=→→b a ( )A.共线且方向相反与→→b aB.共线且方向相同与→→b aC.D.是相反向量与→→b a5．为了得到函数2sin(2),6y x x R π=+∈的图像，只需把函数2sin 2,y x x R =∈的图像上所有的点 （ ）A ．向左平移12π个单位长度B ．向右平移12π个单位长度 C ．向左平移6π个单位长度 D ．向右平移6π个单位长度 6． 函数sin(3)4y x π=-的图象是中心对称图形,其中它的一个对称中心是 ( ) A ．,012π⎛⎫- ⎪⎝⎭ B ． 5,012π⎛⎫- ⎪⎝⎭ C ． 7,012π⎛⎫ ⎪⎝⎭ D ． ,012π⎛⎫ ⎪⎝⎭7.已知角α的终边过点P (2，－1)，则αcos 的值为 ( )A ．－55B ．－ 5 C.255 D.528.若sin cos αα+=，则sin 2α的值为 （） A 1- B 2 C 1 D 2-9.设)cos()sin()(βπαπ+++=x b x a x f ，其中0≠∈ab R b a 且、、、βα)(Z k k ∈≠πα==)2010(,5)2009(f f 则若 ( )A ．4B ．3C ．－5D ．510.已知非零向量AB 与AC 满足0AB AC BC AB AC ⎛⎫ ⎪+⋅= ⎪⎝⎭且12AB AC AB AC ⋅=, 则ABC △为 ( ) .A 等边三角形 .B 直角三角形 .C 等腰非等边三角形 .D 三边均不相等的三角形二、填空题：（本大题共5小题，每小题3分，共15分.）11.函数tan()3y x π=+的定义域__________--- 12.已知π02αβ⎛⎫∈ ⎪⎝⎭，，，且3cos 5α=，12cos 13β=，则cos()αβ-=；______ 13．如图1所示，D 是△ABC 的边BC 上的中点，若b AC a AB ==,,则向量=AD .______（用b a,表示）14.关于向量有如下命题，关于向量有如下命题；则若c a c b b a ===,)1(；则若c a c b b a ////,//)2(；则若b a b a ⊥=∙0)3(.//,//)4(CD AB CD AB 则若其中正确的命题是 .(只写序号)15.设()f x 是定义域为R ，最小正周期为32π的周期函数， 若()()cos 02sin 0x x f x x x ππ⎧⎛⎫-≤< ⎪⎪⎝⎭=⎨⎪≤≤⎩ ,则154f π⎛⎫-= ⎪⎝⎭；三、解答题：（本大题共6小题，共55分.解答应写出文字说明、证明过程或演算步骤.）16.（本小题满分8分）已知α为第二象限角，且54sin =α，求cos()tan(3)()cos()cos(2)2f πααπαπαπα+-=+-的值.17.（本小题满分8分）已知(1,2)a =,)2,3(-=b ,当k 为何值时，(1) ka b +与3a b -垂直？(2) ka b +与3a b -平行？18．（本小题满分8分）已知6123234=+∙==)b a ()b －a,(|b ,||a |, (1)求b a ∙的值； （2）求b a 与的夹角θ.19．（本小题满分8分） 已知βαtan tan 、是方程04332=++x x 的两根，且)2,2(ππβα-∈、，求βα+的值20（本小题满分11分） 已知函数()sin()(0,0,)22f x A x A ππωϕωϕ=+>>-<<一个周期的图象如图2所示，（1）求函数()f x 的周期T 及最大值、最小值；（2）求函数()f x 的表达式、单调递增区间。

2014年衡阳市八中高学业水平考试试数学、选择题：本大题共10小题，每小题4分，满分40分. 集合，则 B. C. D. 2. 函数在区间上的最小值是( B ) A. B. 0 C. 1 D. 2 3. 已知, , 且, 则等于 ( ) A．－1 B－9 C9 D．1 4. 不等式的解集是( C ) A. B. C. D. 5. 如图，一个空间几何体的正视图和侧视图都是边长为1的正方形， 俯视图是一个圆，那么这个几何体的侧面积为（ C ） A. B. C. D. 6. 式子的值为（ B ） A. B. C. D. 1 7. 已知数列是公比为2的等比数列，若，则=( B )A. 1B. 2C. 3D. 4 8. 下列函数中，在定义域内是单调递增函数的是（ A ） A. B. C. D. 9．在中，内角的对边分别为，若,,, 则等于( A )A. 1B.C.D. 2 10．下表是某厂1—4月份用水量(单位：百吨)的一组数据： 月份x1234用水量y4.5432.5由散点图可知，用水量与月份之间有较好的线性相关关系，其线性回归方程＝－0.7x＋a，则a等于( ) A．10.5 B．5.15　C．5.2 D．5.2511. 化简=. 12. 直线的倾斜角为 . 13. 右边的程序输入，输出的已知向量, 的夹角为, 且, , . 1 15. 若实数满足约束条件：，则的最大值等于 .3 三、解答题：本大题共5小题，共40分. 解答应写出文字说明、证明过程或演算步骤. 16. （本小题满分6分） 已知函数. （1）求函数的最小正周期； （2）判断函数的奇偶性, 并说明理由。

解：（1）因， 故最小正周期为 ………………（3分） （2）因，且。

故是奇函数。

………………（6分） 17．（本小题满分8分）某校在高二年级开设了，，三个兴趣小组，为了，用分层抽样方法从，，三个兴趣小组的人员中，抽取若干人组成小组有关数据见下表（单位：人） 兴趣小组小组人数抽取人数36348 （1）求，的值； （2）若从，两个兴趣小组抽取的人中选2人作专题发言，求这人都来自兴趣小组的概率．， (3)） （2）设组抽取的人记为，组抽取的人记为。

衡阳市八中2012年下期期中考试试题高一物理命题人：刘重情审题人：佘琴(考试时间为90分钟，满分100分）一、选择题（每小题4分，共48分。

在每小题给出的四个选项中，有的只有一个选项正确，有的小题有多个选项正确．全部选对得4分，选对但不全的得2分，选错或不答的得0分．)1。

如图是体育摄影中“追拍法”的成功之作,摄影师眼中清晰的滑板运动员是静止的，而模糊的背景是运动的，摄影师用自己的方式表达了运动的美。

请问摄影师选择的参考系是（)A。

大地B。

太阳C。

滑板运动员D。

步行的人2、下列关于质点概念的描述，其中正确的是A．质量很小的物体都要看做质点B．体积很小的物体都要看做质点C．在某些情况下地球可以看做质点D．转动的物体都不能看做质点3．下列说法正确的是( ）A．速度是表示物体运动快慢的物理量,既有大小，又有方向，是矢量B．平均速度只有大小，没有方向,是标量C．运动物体在某一时刻或某一位置的速度，叫做瞬时速度,它是矢量D．汽车上的速度计是用来测量汽车平均速度大小的仪器4．下列关于速度和加速度的说法中，正确的是（）A．物体的速度越大,加速度越大B．物体的速度为零时,加速度一定为零C．物体的加速度越小，速度变化越小D．物体的速度变化越快，加速度一定越大5．一个做直线运动的物体，在t=5s内速度从υo =10 m/s增加到υt=20m∕s，通过的位移是s=60m，这个物体5s内的平均速度是（）A．2m∕sB．15m∕sC. 12m∕sD. 无法确定6、如图为一物体沿直线运动的速度图象,由此可知（）A．4s末物体运动方向改变B．3s末与5s末的速度相同C．0—2s与2-4s加速度相同D. 6s末物体的位移为5m7．如图所示为在同一直线上运动的A、B两质点的x-t图象，由图可知（）A．t=0时，A在B的前面B．B在t2时刻追上A，并在此后跑在A的前面C．t=0时B的速度比A的小，t2时刻后才大于A的速度D．A运动的速度始终比B大8、汽车正在以12m/s的速度在平直的公路上前进，在它的正前方15m处有一障碍物，汽车立即刹车做匀减速运动，加速度大小为6m/s2，刹车后3s末汽车和障碍物的距离为A．3m B．6m C．12m D．9m 9．关于自由落体运动，下列说法正确的是（) A．物体坚直向下的运动就是自由落体运动B．在地球表面纬度较大处,重力加速度较小C．轻重不同的物体下落的快慢相同D．任意相等时间内速度变化不等10．光滑斜面的长度为L,一物体从斜面顶端无初速度沿斜面下滑，该物体滑到底部时的速度为v，则物体下滑到L／4时,速度为A．v/2 B．v/错误!C．v/错误!D．v/411、一个物体做匀减速直线,初速度为10m/s，加速度大小为2m/s2,则物体停止运动前2s内的平均速度为( )A、1m/sB、2m/sC、5m/sD、6m/s12. 物体以加速度a1由静止出发做匀变速直线运动，运动时间为，加速度大小改变为a2,方向与a1的方向相反，经过2t的时间物体又回到出发点,则前后两个加速度的大小关系是A、a1=4a2B、3a1=a2C、3a1=4a2D、5a1=4a2二、填空、实验题（每空3分，共18分）13、物体由静止出发做匀加速直线运动,经过8s速度达到5m/s，在此过程中物体运动的位移为m.14．从高楼的楼顶以20m/s的初速度竖直上抛一小石子,3s内小石子通过的路程为m.（g取10m/s2）15．在“探究小车速度随时间变化的规律”的实验中,某同学实验得到的纸带如图所示，在纸带上选择了标为1-7的7个记数点,每相邻的两个记数点间还有四个点没有画出。

衡阳市八中2013届高三第四次教学质量检测数 学（理科）命题人: 谷中田 审题人： 颜 军（考试内容：集合与逻辑、函数与导数、三角与向量、不等式、数列、立体几何、解析几何）共150分，考试用时120分钟。

一、选择题:（本大题共8小题，每小题5分,在每小题给出的四个选项中，只有一项是符合题目要求的．）1、已知全集={0,1,2，3,4}，集合A={1，2，3}，B=｛2，4｝ ，则()UA B ⋃为（ )A ｛1,2,4}B ｛2，3，4｝C {0,2,4｝D ｛0,2，3,4｝2、设抛物线的顶点在原点,准线方程为2x =-，则抛物线的方程是 （ )A ．28y x =-B ．28y x = C ．24y x =- D ．24y x =3、某几何体的三视图如图所示，则它的体积是( ) A ．283π-B ．83π-C ．82π-D ．23π4、设a ∈R ，则“a ＝1"是“直线L 1:ax+2y —1=0与直线L 2 :x+（a+1）y+4=0 平行”的( )A 充分不必要条件B 必要不充分条件C 充分必要条件D 既不充分也不必要条件5、若椭圆12222=+by a x 与双曲线122=-y x 有相同的焦点,且过抛物线x y 82=的焦点，则该椭圆的方程是( ）A ．12422=+y xB ．1322=+y xC ．14222=+y xD ．1322=+y x 6、若△ABC 的内角C B A 、、所对的边分别为c b a 、、满足4)22=-+c b a （，且60=C ，则ab 的值为( ）A. 错误! B ．8－4错误! C ．1 D 。

错误! 7、已知｛a n ｝是首项为1的等比数列，S n 是｛a n }的前n 项和,且369S S =,则数列{错误!}的前5项和为( )A.错误!或5B.错误!或5 C 。

错误! D 。

错误!8．设集合{(,)|,,1•A x y x y x y =--是三角形的三边长}，则A 所表示的平面区域（不含边界的阴影部分)是（ )二、填空题：（本大题共7小题，每小题5分,共35分。

衡阳市八中2012年下学期高二期中考试（文科选修）化学试卷命题人：曾培林审题人：李浩然考生注意：1.本卷共2道大题，满分100分2.请把答案填在理综答题卷相应的位置一、选择题(本题包括20个小题，每题4分，共计80分。

每题只有一个选项符合题意)21．人体内所必需的下列元素中，因摄入量不足而导致骨质疏松的是（） A．K B．Ca C．Na D．Fe22．下列生活习惯比较健康和科学的是（）A．喜欢什么食物就吃什么食物 B．多饮纯净水，少饮矿泉水C．大量食用含亚硝酸钠的肉制品 D．多吃水果和蔬菜23．下列属于天然高分子化合物的是（）A．油脂 B．蔗糖 C．聚乙烯 D．淀粉24．下列物质中不能为人类补充能量的是（）A．糖类B．水 C．蛋白质 D．油脂25．下列物质既可以做防腐剂，又可以做调味剂的是（）A．食盐 B．苯甲酸钠 C．柠檬黄 D．味精26. 将NaOH溶液和CuSO4溶液按适当比例加入某人的尿液中，加热后，如果观察到砖红色沉淀出现，则此人尿液中含有（）A．食醋B．食盐C．葡萄糖D．蛋白质27．下列说法，不正确．．．的是（）A.人体缺碘，可通过食用加碘盐补碘B.缺铁性贫血，可通过食用铁强化酱油预防C.为了防止龋齿，人人都要使用含氟牙膏D.锌摄入量过多，也会引起缺铁性贫血28．有关蛋白质的叙述中不正确．．．的是（）A．向蛋白质溶液滴加硫酸铜溶液发生盐析 B．蛋白质遇浓硝酸显黄色C．蛋白质溶液具有丁达尔效应D．蛋白质的基本结构单元是氨基酸29. 在医疗上，治疗胃酸过多且患有胃溃疡的病人可服用的下列药剂的是（）A．NaOH B．NaHCO3 C．Na2CO3 D．Al(OH)330. 坏血病患者应该多吃的食物是（）A．水果和蔬菜 B．鱼肉和猪肉 C．鸡蛋和鸭蛋 D．糙米和肝脏31．人生病时要合理用药。

下列药品与其作用匹配的是（）A．氢氧化铝：中和过多胃酸B．阿司匹林：消炎抗菌C．青霉素：解热镇痛D．医用碘酒：人体补碘32．下列关于药物的使用说法正确的是（）A.虽然药物能治病，但大部分药物有毒副作用B.使用青霉素时，不用进行试验直接静脉注射C.长期大量使用阿司匹林可预防疾病，没有副作用D.我们生病了都可以到药店自己买药吃，不用到医院33．右图为农夫山泉矿泉水瓶上的部分说明文字，列出了饮用天然水理化指标，这里的钙、钾、钠是指（）A.原子B.分子C.单质D.元素34．三国时代，诸葛亮领兵南征孟获，遇到了“哑泉”，士兵饮后致哑，腹痛,甚至死亡。

衡阳市八中2012年高二下期期中考试文科历史命题：涂师仁审题：龙国安一、单项选择题：（本大题30小题，每小题2分，共60分）1、西方学者认为，公元前6世纪至公元前3世纪是人类文明的“轴心时代”，人类首次觉醒．理性思维所创造的精神文化决定着其后诸民族的文化走向。

在当时的中国最具典型意义的现象是A．诸子并立、百家争鸣 B．以法为教、焚书坑儒C．罢黜百家，独尊儒术 D．崇儒尚佛，兼收并蓄2、儒家思想是中华民族传统文化的主流思想之一，宋朝的程朱理学是新兴的儒学。

以下观点中属于程颢、程颐的是A．“为政以德”，“节用而爱人” B．“施政于民，省刑罚，薄税敛”C．“心即礼也”、“心外无物” D．“万物皆只是一个天理”3、古代有一个佛偈故事：庙前佛幡随风而动，方丈以此考问众徒。

甲徒曰：“风催幡动！”乙徒曰：“幡何动？分明是你心动！心动才有幡动！”下面的思想与乙徒相近的是A．万物皆只有一个理 B．有理而后有气C．父子君臣，天下之定理 D．宇宙便是吾心4、斯塔夫里阿诺斯提出：“促成中国文明的内聚性的最重要因素，也许是通称为儒家学说的道德准则和文学、思想方面的文化遗产。

”这里的“儒家学说的道德准则”主要是指A．天人感应 B．罢黜百家 C．三纲五常 D．民贵君轻5、“穿衣吃饭即是人伦物理，除却穿衣吃饭，无论物矣。

…夫私者，人之心也，人必有私，而后其心乃见；若无私，则无心矣。

”这一思想A．适应了统治阶级的政治需要 B．在一定程度上反映了资本主义萌芽的要求C．开一代朴实学风的先河 D．具有朴素的辩证法思想6、黄宗羲说“世儒不察，以工商为末，妄议抑之。

夫工固圣王之所欲来，商又使其愿出于途者，盖皆本也。

”导致黄宗羲上述思想出现的社会原因主要是A、经世致用思想日渐盛行B、土地兼并致使农业衰退C、商品经济发展与资本主义萌芽D、统治者放弃重农抑商政策7、一位哲人说过：“这（文艺复兴）是一次人类从来没有经历过的最伟大的、进步的变革，是一个需要巨人并产生了巨人的时代”。

衡阳市八中2012年下期期中考试试题高一数学命题人：仇武君 审题人：刘亮生请考生注意：本试题卷共三大题21小题，全卷满分100分，考试用时120分钟. 请将答案写在答卷上.一、选择题：（本大题共10小题，每小题3分，共30分.在每小题给出的四个选项中，只有一项是符合题目要求的.）1.设集合{1,0,1}M =-，2{|20}N x x x =-=，则M N ⋂=（ ） A ．{1,0,1}-B ．{0,1}C ．{1}D ．{0}2.已知函数1,1()3,1x x f x x x +≤⎧=⎨-+>⎩，则[(2)]f f =（ ）A.3B.2C.1D.0 3.下列函数中，在区间（0,1）上是增函数的是（ ）A. 42+-=x y B. x y -=3 C. xy 1=D. x y = 4.下列函数是偶函数的是（ ）A. x y =B. 22y x = C. 21-=x y D. ]1,0[,2∈=x x y5.函数22()2xxf x -=的单调递增区间是（ ）A. (,1]-∞B. [1,)+∞C. (,2]-∞D. [2,)+∞ 6.下列指数式与对数式互化不正确．．．的一组是（ ） A. 01ln 10==与e ； B. 138182log 23==与； C. 3929log 213==与 ； D. 13log 313==与3； 7.函数log (2)1a y x =++的图象过定点（ ） A.（1，2） B.（2，1）C.（-2，1）D.（-1，1）8.三个数20.7a =，2log 0.7b =，0.72c =之间的大小关系是（ ）A.b c a <<.B. c b a <<C. c a b <<D.a c b << 9.函数3log )(3-+=x x f x零点所在大致区间是（ ）A. (1,2)B. (2,3)C. (3,4)D.(4,5)10.当1a >时，在同一坐标系中，函数1()log xa y y x a==与的图象是（ ）二、填空题：（本大题共5小题，每小题3分，共15分.） 11.函数()f x =3log (2)1x x +++的定义域是 ； 12.当(1,2]x ∈-时，函数()f x =3x的值域为 ；13.函数()f x =21()33ax b x +++是偶函数，且定义域为[1,2]a a -，则a b += ； 14.函数()f x 在(1,1)-上是奇函数，且在区间(1,1)-上是增函数，(1)()0f t f t -+-<，则t 的取值范围是 ；15.由于电子技术的飞速发展，计算机的成本不断降低，若每隔3年计算机的价格降低13，则现在价格为8100元的计算机9年后的价格为 元；三、解答题：（本大题共6小题，共55分.解答应写出文字说明、证明过程或演算步骤.） 16.（本小题满分8分） 计算下列各式：（1）232log 3log 2log -； （4分）（2）121()03347(0.125)()8168-+-++； （4分）17.（本小题满分8分）根据下列条件，求函数解析式：（1）已知()f x 是一次函数，且满足3(1)2()217f x f x x +-=+，求()f x ； （4分） （2）已知2(1)3g x x x +=+，求()g x ； （4分）18.（本小题满分12分） 已知函数2()4||3f x x x =-+， （1）试证明函数()f x 是偶函数；（3分）（2）画出()f x 的图象；（要求先用铅笔画出草图，再用中性笔描摹，否则不给分）（3分） （3）请根据图象指出函数()f x 的单调递增区间与单调递减区间；（不必证明）（3分） （4）当实数k 取不同的值时，讨论关于x 的方程24||3x x k -+=的实根的个数；（不必求出方程的解）（3分）19.（本小题满分8分） 已知幂函数223*()()k k f x xk N --=∈的图象关于y 轴对称，且在区间(0,)+∞上是减函数，（1）求函数()f x 的解析式；（4分）（2）若a k >，比较0.7(ln )a 与0.6(ln )a 的大小；（4分）20.（本小题满分8分）已知函数2()f x x x b =-+，且2()f log a b =，2()2log f a =，0a >且1a ≠，（1）求a ，b 的值；（4分）（2）当x 为何值时，2()f log x 有最小值？最小值是多少？（4分）21.（本小题满分11分） 设m 是实数，2()()21x f x m x R =-∈+， （1）若函数()f x 为奇函数，求m 的值；（3分）（2）试用定义证明：对于任意m ，()f x 在R 上为单调递增函数；（4分）（3）若函数()f x 为奇函数，且不等式(3)(392)0xxxf k f ⋅+--<对任意x R ∈恒成立， 求实数k 的取值范围。

衡阳市八中2012年下期期中考试试题高一英语命题人:江莉谢丽英审题人：张兰芬考生注意：本试卷分为四个部分,包括听力、语言知识运用、阅读理解和书面表达,满分100分,时量120分钟,请将答案写在答题卷上. PART ONE LISTENING COMPREHENSION（共20小题;每小题1分,满分20分）SECTION ADirections: In this section，you’ll hear 6 conversations between 2 speakers。

For each conversation, there are several questions and each question is followed by 3 choices. Listen to the conversations carefully and then answer the questions by marking the corresponding letters (A,B or C) on the question booklet. You will hear each conversation TWICE。

Questions 1 through 2 are based on the following conversation。

1。

Where does the conversation take place？A。

At home. B. In a store. C. At school。

2. What is the man’s daughter's favorite color?A。

Red。

B。

White. C。

Blue。

Questions 3 through 4 are based on the following conversation。

3. Who answered the woman’s phone yesterday morning?A. Her brother。