2014-2015学年高中毕业班阶段性测试(四)
辽宁省锦州市锦州中学2014-2015学年高二上学期10月阶段测试地理试题
2014-2015学年高二上学期10月阶段测试地理试题本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分。
选择题答案用2B 铅笔涂在答题卡上，非选择题部分写在答题纸上。
考试结束后，将答题纸和答题卡一并交回。
第Ⅰ卷一、本卷共20个小题，每小题2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。
读右面四幅图，回答1～2题。
1．①～④四地中位于北京(116°E,40°N)东南方向的是( ) A ．① B ．②C ．③D ．④2．四幅图中阴影部分所表示的经纬线方格，面积最大的是( ) A ．甲 B ．乙 C ．丙 D ．丁 读下面四幅等高线图，回答3～4题。
3．图中坡度最陡的是( )A ．①B ．②C ．③D ．④ 4．表示实地范围最大、内容最简略的是( )满分100分 考试时间50分钟A．①B．②C．③D．④读下面我国某区域水系图，回答5～6题。
5．图中河段水流较急的地点是()A．①B．②C．③D．④6．下列关于图示区域地理特征的描述，正确的是()①河流流量大，夏汛时间长②植被以温带落叶阔叶林为主③耕地以水田为主④河流无结冰现象，含沙量大⑤山区土壤以红壤为主，有机质含量低A．①②③B．②④⑤C．①③④D．①③⑤读右图，回答7～8题。
7．关于两条河流特征相同点的叙述，正确的是（）A．冬半年有凌汛现象B．夏半年水量较丰富C．均为季节性积雪融水补给D．均自南向北注入大西洋8．关于甲、乙两图所示区域自然现象的叙述，正确的是（）A．甲区域昼夜长短变化幅度大于乙区域B．甲区域对流层厚度大于乙区域C．两区域植被类型均以荒漠、草原为主D．两区域地形类型均以平原、高原为主下图为我国东部某地区等高线地形图。
读图，回答9～10题。
9．图中山峰与桥梁①的相对高度最有可能是( )A.450米B.650米C.750米D.850米10．对该地区的描述,正确的是( )A．河流的流向为自东北向西南 B．地势由北、南、东三面向西部倾斜C．②地夏季降水量大于③地 D．乙村易受泥石流的影响11．下列选项中，附近有世界最高山脉和最深海沟的一组板块界线是（）A．印度洋板块——亚欧板块、太平洋板块——亚欧板块B．印度洋板块——亚欧板块、太平洋板块——美洲板块C．非洲板块——亚欧板块、太平洋板块——亚欧板块D．非洲板块——亚欧板块、太平洋板块——美洲板块读下图，回答第12～14题。
浙江省东阳市第二高级中学2014-2015学年高二上学期阶段性测试英语试题
2014年下学期高二英语阶段性考试试卷命题人：韦健灵审核人：赵子卿第一部分：英语知识运用(共两节，满分40分)第一节：单项填空（共20小题；每小题1分，满分20分）从A、B、C、D四个选项中，选出最佳选项。
1. In China today, _______ car is becoming _____ popular means of transportation.A. a; theB. a; /C. the; theD. the; a2. –— It is unwise for some people to drive and talk on a cell phone.–— _______. It's very dangerous.A. That's greatB. Not reallyC. Good ideaD. I couldn't agree more3. Though having lived abroad for years, many Chinese still _______ the traditional customs.A. performB. possesC. observeD. support4Don’t wake Doctor Thompson up unless it is a real_______; he is too tired and needs a good rest.A. campaignB. emergencyC. argumentD. connection5. He spoke for a long time but his meaning did not ___________.A. come upB. come outC. come onD. come across6. ---John, can you help me fax the file?--- I would rather you _____ it by yourself.A.doB. will doC. didD. would do7. It is well-known that Madam Curie won two Nobel Prizes for her scientific _________.A. inspirationB. adventuresC. achievementsD. observation8. He sets us so difficult a problem_________ I couldn’t work out.A. thatB. asC. whichD. why9. The new stadium being built for the next Asian Games will be _______ the present one.A. as three times big asB. three times as big asC. as big as three timesD. as big three times as10. I'll give you your friend's home address, ______ I can be reached most evenings.A. whichB. whenC. whomD. where11. ________ in a heavy rain should be an unforgettable experience.A. CaughtB. CatchingC. Being caughtD. To catch12.Looking around the city, you’ll find many parks are _____________.A. worth being visitedB. worth a visitC. worthwhile being visitedD. worthy to a visit13.Lucy has a great sense of humour and always keeps her colleagues _____ with her stories.A. amusedB.amusingC.to amuseD.to be amused14.Scientists are convinced _____ the postive effect of laughter ____ physical and mental health.A.of;atB.by;inC. of;onD.on;at15.—Mr Black，what about my application?—Oh，I regret________you that it hasn’t been successful.A. tellingB. to tellC. having toldD. said16.He argued ______smoking, and insisted that it was ______ argument that smoking was harmfulto health.A. for; beyondB. against; overC. for; overD. against; beyond17.The president spoke at the business meeting for nearly an hour without _____ his notes.A.bringing upB.referring toC.looking forD.trying on.18.__________ you eat the correct foods ________ be able to keep fit and stay healthy.A.Only if; will youB. Only if; you willC.Unless; will youD. Unless; you will19.I saw Bob play the piano at John’s party and on that ______ he was simply brilliantA.sceneB.circumstanceC.occasionD.situation20.The factory used 65 percent of the raw materials, the rest of which _____ saved for otherpurposes.A. isB. areC. wasD. were第二节：完形填空（共20小题；每小题1分，满分20分）One fine afternoon I was walking along Fifth Avenue, ___ 21___ I remembered that it was necessary to buy a pair of socks. Why I wished to buy only one pair is ___22___. I turned into the first sock shop that ___23___ my eye, and a boy clerk who could not have been more than seventeen years old ___24___. "What can I do for you, sir?" "I wish to buy a pair of socks." His eyes were shining. There was a note of ___25___ in his voice. "Did you know that you had come into the finest place in the world to buy socks?" I had not been aware of that, as I entered the shop ___26___. "Come with me," said the boy, excitedly. I followed him to the back part of the shop, and he began to take down from the shelves box after box, ___27___ their contents for my enjoyment. "Hold on, young man, I am going to buy only one pair!" "I know that," said he, "but I want you to see ___28___ beautiful these are. Aren't they wonderful?"___29___ was on his face an expression of pleasure, ___30___ he were uncovering the mysteries of his religion. I became far ___31___ interested in him than in the socks. I looked at him in amazement. "My friend," said I, "if you can keep this up, if this is not ___32___ the enthusiasm that comes from having a new job, if you can keep up this enthusiasm and excitement day after day, in ten years you will own every ___33___ in the United States." My amazement ___34___ his pride and joy in salesmanship will be easily understood by all who read this article. In many shops the ___35___ has to wait for someone to serve him.21. A. while B. when C. as D. what22. A. unimportant B. unusual C. useless D. unnecessary23. A. kept B. shut C. took D. caught24. A. came about B. came across C. came forward D. came around25. A. anxiety B. shame C. panic D. excitement26. A. in particular B. in place C. by accident D. on purpose27. A. exchanging B. showing C. selling D. hiding28. A. how B. which C. that D. what29. A. There B. That C. One D. It30. A. although B. even if C. as if D. since31. A. much B. more C. less D. little32. A. mostly B. likely C. only D. hardly33. A. sock B. money C. joy D. store34. A. with B. at C. to D. on35. A. salesman B. passenger C. manager D. customerAnd when ___36___ some clerk does notice you, you are made to feel as if you were interrupting him.Either he is ___37___ in deep thought in which he hates to be disturbed or he is chatting with a girl clerk and you feel like ___38___ for "being too rude".He shows no interest either in you or in the goods he ___39___ to sell. Yet possibly the very clerk who is now so indifferent(冷漠的) began his career with hope and ___40___. The daily work was too much for him; the newness disappears slowly; his only pleasures were found outside of working hours; and he saw younger clerks who had more enthusiasm in their work promoted over him. He became sour. That was the last stage. His usefulness was over.36. A. firstly B. especially C. absolutely D. finally37. A. absorbed B. devoted C. busy D. attracted38. A. forgiving B. apologizing C. favoring D. approving39. A. paid B. is paid C. was paid D. pays40. A. content B. sympathy C. surprise D. enthusiasm第二部分：阅读理解（共20小题,每小题2分，满分40分）阅读下列短文，从每题所给的四个选项(A、B、C、D)中，选出最佳选项AArt museums are places where people can learn about various cultures. The increasingly popular "design museums" that are opening today, however, perform quite a different role. Unlike most art museums, the design museum shows objects that are easily found by the general public. These museums sometimes even place things like fridges and washing machines in the center of the hall.People have argued that design museums are often made use of as advertisements for new industrial technology. But their role is not simply a matter of sales—it is the honoring of excellently invented products. The difference between the window of a department store and the showcase in a design museum is that the first tries to sell you something, while the second tells you the success of a sale.One advantage of design museums is that they are places where people feel familiar with the exhibits. Unlike the average art museum visitors, design museum visitors seldom feel frightened or puzzled(困惑). This is partly because design museums clearly show how and why mass-produced products work and look as they do, and how design has improved the quality of our lives. Art museum exhibits, on the other hand, would most probably fill visitors with a feeling that there is something beyond their understanding.In recent years, several new design museums have opened their doors. Each of these museums has tried to satisfy the public's growing interest in the field with new ideas. London's Design Museum shows a collection of mass-produced objects from Zippo lighters to electric typewriters to a group of Italian fish-tins. The choices open to design museums seem far less strict than those to art museums, and visitors may also sense the humorous part of our society while walking around such exhibits as interesting and unusually attractive toys collected in our everyday life.41. Showcases in design museums are different from store windows because they ______.A. show more technologically advanced productsB. help increase the sales of productsC. show why the products have sold wellD. attract more people than store windows do42. The author believes that most design museum visitors ______.A. do not admire mass-produced productsB. are puzzled with technological exhibitsC. dislike exhibits in art museumsD. know the exhibits very well43. The best title for this passage is ______.A. The forms of design museumsB. The exhibits of design museumsC. The nature of design museumsD. The choices open to design museumsBFive or six years ago, I attended a lecture on the science of attention. A professor who conducts research over in the medical school was talking about attention blindness, the basic feature of the human brain that, when we concentrate on one task, causes us to miss just about everything else. Because we can't see what we can't see, our lecturer was determined to catch us in the act. He had us watch a video of six people tossing (投掷) basketballs back and forth, three in white shirts and three in black, and our task was to keep track only of the tosses among the people in white. The tape rolled, and everyone began counting.Everyone except me. I'm dyslexic (患阅读困难症的), and the moment I saw that tape with the confusing basketball tossers, I knew I wouldn't be able to keep track of their movements, so I let my mind wander. I became curious, though, when about 30 seconds into the tape, a gorilla (大猩猩) walked in among the players. She (we later learned a female student was in the gorilla suit) stared at the camera, beat her chest with her fist, and then went away while they continued passing the balls.When the tape stopped, the professor asked how many people had counted at least a dozen basketball tosses. Hands went up all over. He then asked who had counted 13, 14, and congratulated those who'd scored the perfect 15. Then he asked, "And who saw the gorilla?"I raised my hand and was surprised to discover I was the only person at my table and one of only three or four in the large room to do so. He'd set us up, trapping us in our own attention blindness. Yes, there had been a trick, but he wasn't the one who had played it on us. By concentrating so hard on counting, we had managed to miss the gorilla in the midst.Attention blindness is the fundamental organizing principle of the brain, and I believe that it presents us with a great opportunity. My take is different from that of many neuroscientists: Where they see the shortcomings of the individual, I sense an opportunity for cooperation. Fortunately, given the interactive(互动的) nature of most of our lives in the digital age, we have the tools to control our different forms of attention and take advantage of them.It's not easy to admit that everything we've learned about how to pay attention means that we've been missing everything else. It's not easy for us logical, intelligent, confident types to admit that the very key to our success — our ability to discover a problem and solve it, an achievement obtained in all those years in school and beyond — may be exactly what limits us. No one ever told us that our way of seeing left out everything else.44. Which of the following is true about the writer when the tape was played?A. Like everyone else, the writer was counting carefully.B. The writer had difficulty keeping track of the tossers' movements.C. The writer showed great curiosity about what the players were doing.D. The writer tried hard to stop her mind from wandering.45. What's the total number of basketball tosses by the players in white shirts in the video?A. 13.B. 14.C. 15.D. 30.46. Most of the people failed to notice the gorilla in the video because _____.A. they focused on the basketball tossing onlyB. they were trapped by the basketball playersC. they did not know what they were supposed to doD. they did not listen to the lecture carefully47. The word "take" (paragraph 5) most probably means _____.A. understandingB. impressionC. sceneD. preference48.In the writer's opinion, attention blindness ______.A. should be viewed as a shortcoming of the individualB. might be overcome if we can discover problems and solve themC. makes it possible for us to work together for a shared purposeD. helps us to become logical, intelligent and confident types of peopleCBelow are reviews for three books and two book series. Each has been read and loved by students across the country.The OutsidersThis book, first published in 1967. has become a classic for teens across the nation. It focuses on Ponyboy , who has been labeled all his life as a greaser. The greaser's opposing group is the " socs ". kids who have lots of money and can break any rules without getting in trouble. As the novel develops, S. E. Hinton allows the reader to see exactly how these labels affect teens in both the greaser and the soc group.If you've ever watched the movie The Outsiders, this story may sound familiar, as the movie was based on the book . The Outsiders gives teens a look into life in the 50's and 60's, offering timeless lessons that still apply to today's youth.Out of the Dus tAny student interested in the Great Depression and the Dust Bowl should read Out of the Dust by Karen Hesse. Hesse is able to capture the mood and spirit of this era through the use of poetry. The main character of the book, Billie Jo, is growing up in Oklahoma, the heart of the Dust Bowl. Through free verse poetry, Billie Jo narrates(讲述) her tale of poverty and survival during this difficult time.Out of the Dust is an excellent lesson in history . Due to the short length and writing style, the book is a quick but worthwhile read. By the end of the book, the reader is eager to start the story over again . Hesse is able to pack a lot of emotions and details into her short book , making the story very real and believable.The GiverThe Giver depicts a perfect society in which citizens experience no pain, have never felt fear,and life is completely under control. However, as the reader progresses through the story, it's easy to see that this community is far from utopia(乌托邦). Instead, through the experiences felt by the main character Jonas, the reader learns there is a missing from life in this world..During the Ceremony of the Twelves, each 12—year —old is assigned their life —long career in the community . Jonas is chosen to be the Receiver of Memories, a very special job assigned to oneperson at a time. When Jonas receives his training . he learns many truths about his community that change how he feels about his life, making him determined to do something to change it .The Giver is a good book for teens who enjoy science fiction and fantasy. The book makes you examine your own life, values, and beliefs, striving to find how you would define the perfect society.Anne of Green GablesThis eight-book series depicts the life of Anne Shirley, an orphan that is adopted in Prince Edward Island, Canada . The books are set in the 1800s to the 1900s, the last one taking place during World War I. Anne is a loveable spirit who has many misfortunes and laughable experiences when growing up and going to college.The Anne of Green Gables series is fun to read. creating a strong attachment to the reader and making the last book a bitter －sweet experience. Teenage girls who are looking for a female role model will love Anne Shirley.49. The greaser group may refer to those kids ______.A. who are poor in their lessons at schoolB. who are poor and often get into trouble for breaking rulesC. who go between the poor and the rich childrenD. who get along well with the soc group50. Which of the following is written in a poetic style?A. The Giver.B. The Outsiders.C. Out of the Dust.D. Anne of Green Gables.51. We can learn from The Giver that ______.A. everyone in the community can get a good jobB. Jonas is satisfied with his life in the communityC. people in the community live an imperfect lifeD. Jonas is loved by all the people in the community52. According to the passage, ______ may be chosen to be an example by teenage girls.A. Ponyboy B . Jonas. C. Billie Jo D. Anne ShirleyDIn the famous fairy tale, Snow White eats the Queen’s apple and falls victim to a curse; in Shakespeare’s novel, Romeo drinks the poison and dies; some ancient Chinese emperors took pills that contained mercury, believing that it would make them immortal, but they died afterward.Poison has long been an important ingredient in literature and history, and it seems to always be associated with evil, danger and death. But how much do you really know about poison?An exhibition, The Power of Poison, opened last month at the American Museum of Natural History in New York, intended to give the audience a more vivid understanding of poison. The exhibition will continue until Aug 2014, reported The New York Times.The museum tour starts in a rainforest setting, where you can see live examples of some of themost poisonous animals: caterpillars, frogs and spiders. Golden poison frogs, for instance, aren’t much bigger than a coin, but their skin is covered in a poison that can cut off the signaling power of your nerves, and a single frog has enough venom to kill 10 grown humans.The exhibition also features interactive activities. In an iPad-based game, visitors are presented with three puzzling illnesses and asked to identify the poisons based on symptoms. In one case, for example, a pet dog is found sick in a backyard and visitors have to figure out whether it was the toad (蟾蜍), the leaky batteries in the trash or the dirty pond water that did it.―Poisons can be bad for some things,‖ Michael Novacek, senior vice president of the museum,told NBC News. ―Yet they can also be good for others.‖This is what visitors learn from the last part of the exhibition, which displays how poisons can be used favorably by humans, including for medical treatment.The blood toxins of vampire bats, for example, can prevent blood from clotting (凝结), which may protect against strokes. A poisonous chemical found in the yew tree is effective against cancer, which is what led to the invention of a cancer-fighting drug called Taxol. One chemical in the venom of Gila monsters can lower the blood sugar of its victims, so it has been used to treat diabetes.The benefits from natural poisons are not limited to just medicine. Believe it or not, many substances that we regularly take in – chili, coffee and chocolate, etc. – owe their special flavors or stimulating effects to chemicals that plants make to poison insects.53. By mentioning Snow White and Romeo at the beginning of the story, the author intends to____________.A. show that poison has long been involved in literatureB. show that poison is always linked with evil and deathC. draw readers’ attention to the topic of the articleD. get readers to think of more examples of the use of poison in stories54. What is the main purpose of the exhibition The Power of Poison?A. To give people more in-depth knowledge about poison.B. To teach people how to handle poisonous animals.C. To inform people about which animals are the most poisonous.D. To show how poison has been used for medical treatment.55. Which of the following statements about the exhibition is TRUE according to the article?A. The exhibition will lead visitors to a real rainforest.B. Golden poison frogs are the most poisonous animals on display.C. Those who visit the exhibition can join in some iPad-based interactive games.D. Visitors can listen to lectures on recent studies of poisonous animals.EWhat is funny? The short answer is: Who knows? The joke that causes a burst of laughter from one listener might be met with a puzzled look from another.In general, you should avoid jokes at any business or social gathering where there are more than two people in your conversational group. If there are only two people — and they consist of you and your best friend — go ahead and tell it.Admittedly, a few people possess a perfect sense of timing, appropriateness, and joke delivery.You are probably not one of them. You might be quite funny and have many great jokes. Butthere's a place for jokes — over dinner with family, hiking with friends, but business or social affairs with colleagues and acquaintances(熟人) are not it. It takes a whole other level of joke-telling ability to put a joke into the more formal conversations.The best jokes come into the conversation so that by the time listeners realize a joke is in progress, the punchline that produces humour is being delivered — to their surprise and delight.Jokes don't translate well when you're in a group with mixed backgrounds: those whose first language is not English, those who might not understand a special term or an "in" expression, young people who wouldn't catch a reference to some bit of culture familiar to older people —and viceversa(反之亦然).Never joke about another person in the group — about their name, habits, hometown, profession, appearance, or past. It's not a question of whether the joke is cheery or appropriate. No one enjoys being singled out this way. When you are the subject of the joke, the laughter doesn't feel good no matter how hard you try to tell yourself they're not laughing at you. Because that's what it feels like.What do you say if you realize your joke upset someone? Apologize as briefly and as sincerely as you can, and hope that someone changes the subject. Try saying: "I'm sorry. I should have known better" or "I'm sorry. I wasn't thinking."What do you do if people don't get your joke or don't appear to find it as funny as you do? First, do not retell it, only louder this time, hoping the point of the joke will be seen. Second, don't try to push people to get it. People do not like people whose jokes they don't understand. They feel stupid and need to blame someone. If you want to leave with the goodwill of your listeners, say something to make them feel less foolish. You could say: "I don't know why I tell jokes when I'm so poor at it."The world needs laughter, and good humor is a success wherever it goes, so this caveat(告诫) about joke-telling is not meant to dampen high spirits or to advocate dull conversation. If you're a gifted story-teller and you know people love your jokes, go for it. We need your kind. The rest of us will save our jokes for family and close friends.56. According to the passage, it might be appropriate for you to tell a joke at a business or socialgathering if ______.A. the joke is well chosenB. you have complete confidence in your listeners' sense of humorC. only you and your best friend are involved in the conversationD. the audience consists of your colleagues and acquaintances57.Why do some jokes fail to work?A. Because the punchline is too long to catch.B. Because the joke-teller uses wrong words and expressions.C. Because the joke-teller and listeners don't share the same background knowledge.D. Because the jokes are not properly translated into the listeners' native language.58. How will people feel when they are joked about?A. They will feel happy if the joke is a pleasant one.B. They will be upset no matter what kind of joke it is.C. They will enjoy the joke when realizing that people are not laughing at them.D. They will panic because it makes them the center of attention.59. When people do not understand a joke they hear, they tend to ______.A. believe it's the joke-teller's faultB. get someone to retell the jokeC. ask for explanationD. say something foolish60. Which of the following best describes the writer's opinion on joke-telling?A. Nobody knows what makes a joke funny.B. We should not tell jokes unless we are asked to do so.C. Joke-telling is a very complex thing.D. Jokes should be told only to friends and family members.2014年下学期高二阶段性考试答题纸第一节单词拼写（共10小题，每小题1分，满分10分）61. We had a good rest in the s____________ of the trees.62. It is a good custom that the young have r__________ for the old in China.63. The speech he d____________ yesterday excited all the audience.64.The prisoner s___________ against the guard, but couldn’t escape.65.You are easy to get s___________ when staying on the beach in such a hot day.66.The business has e___________ into a big one.67. It was c________________ of him to underline the important sentences in the passage so thatothers could read it easily.68. You didn’t tell me you could sing so well---you’re very m___________.69. Those who are c___________ with what they have are more likely to be happy.70. I did not dare to speak aloud or even w_________ to Alison what was in my mind.第二节单句改错（共10小题，每小题1分，满分10分）格式错误不给分增加：在缺词处加一个漏字符号（∧），并在其下面写上该加的词。
湖南省新化一中2014-2015学年高二第四次阶段性测试数学(理)试卷(教师版)
湖南省新化一中2014-2015学年高二第四次阶段性测试试题理科数学命题：伍震斌 审题：卿梁松 满分：150分 时量：120分钟一、选择题（本大题共10小题，每小题5分，共50分. 在每小题给出的四个答案中，只有一项是符合题目要求的。
请将你认为正确的选项填在答题卡的相应的位置上。
）1、设集合2102x A x x ⎧+⎫=≤⎨⎬-⎩⎭，集合B 是()()ln 1f x x =-的定义域，则A B =（ ）DA. 112⎡⎤⎢⎥⎣⎦， B. (]1,2- C. ()()1112-，，D. ()12-， 【解析】122A x x ⎧⎫=-≤<⎨⎬⎩⎭，{}11B x x =-<<，A B ={}12x x -<<。
2、设变量x ，y 满足约束条件20201x y x y y +-≥⎧⎪--≤⎨⎪≥⎩，则目标函数2z x y =+的最小值为（ ）BA . 2B . 3C . 4D . 5【解析】画出可行域，如图所示．解方程组⎩⎪⎨⎪⎧x ＋y －2＝0，y ＝1，得⎩⎪⎨⎪⎧x ＝1，y ＝1，即点A (1，1)．当目标函数线过可行域内A 点时，目标函数有最小值，即z min ＝1×1＋2×1＝3。
3、如图，在平行六面体1111D C B A ABCD -中，M 为11C A 与11D B 的交点。
若AB a =，AD b =，1AA c =，则下列向量中与BM 相等的向量是（ ）CA. 1122a b c --+ B. 1122a b c ++ C. 1122a b c -++ D.1122a b c -+C1A 14、已知曲线x x y ln 342-=的一条切线的斜率为21，则切点的横坐标为（ ）A A. 3 B. 2 C. 1 D. 21【解析】x x y ln 342-=⇒13'2y x x =-0x >）；令131'22y x x =-=，解得3x =。
高一语文月考试题带答案-天一大联考2015--2016学年高中毕业班阶段性测试(四)
河南天一大联考2015--2016学年高中毕业班阶段性测试（四）语文试题第Ⅰ卷阅读题甲必考题一、现代文阅读（9分，每小题3分）阅读下面的文字，完成1-3题。
直到目前为止，绝大多数对丝绸之路的研究是把丝绸之路作为一条实存的道路来研究，这当然是无可厚非的。
但是，也正是这种坚持对史实的研究，使得丝绸之路的另一项作用，即它在文学上所起的作用在很大程度上被忽视了，因为对于绝大多数人来说，丝绸之路还是一条传闻中的道路，一条存在与想象中的道路。
那些出于各种目的而四处流动的人，商人、旅行家、冒险者和传教僧，也许他们不是决定习性，但却是丝绸之路上文化传播最为活跃的因素。
他们在求取自己目的的同时，也把自己的信仰、途中的见闻以及关于其他地方的种种信息，沿途撒播，并随时吸取新的信息，以作新的谈资。
他们的谈论，由于目的不同而各有取舍，再加上口头传播的随意性以及临时的即兴表演，都使得信息本身的真实性得到削弱，而臆想的成分却在加强，于是千奇百怪的事情都可以在丝路上的某一时段某一点发生了。
总之，他们在传播神话的同时又在制造着神话，在取信于听众和取悦于观众上极尽所能地发挥着天赋。
以丝路道路的艰辛和古人对神的虔诚，我们不难想见，神们自然会与他们一道辗转流动，这使得丝绸之路又成为一条神话传播的大道。
但是，信任总是有底线的，在信息来源极度缺乏的地区，人们比较容易相信外来的传闻，而在丝绸之路这样一个各种信息汇聚的场所，却更容易培养出人们的怀疑精神。
特别是在同一个地方流传着关于同一个人或者同一件事的各种相互矛盾的传闻的时候，人们往往就面临选择了。
有趣的是，人们在做选择时的态度，他们更倾向选择那些和精神深处密切相关的事物作为应该相信的对象，并以此来印证和加固传统的信仰，也就是说，比起真相来，人们更容易选择他们一贯相信和愿意相信的事作为“事实”，而其他的事，哪怕是确曾发生，也会慢慢地被当做奇闻轶事来处理。
好在人们对奇闻轶事的兴趣，一点也不逊色他们对“真相”的追求。
2024届河南省天一大联考高三阶段性测试(四)地理试题及答案
2023—2024学年高中毕业班阶段性测试(四)地理考生注意：1.答题前，考生务必将自己的姓名、考生号填写在试卷和答题卡上，并将考生号条形码粘贴在答题卡上的指定位置。
2.回答选择题时，选出每小题答案后，用铅笔把答题卡对应题目的答案标号涂黑。
如需改动，用橡皮擦干净后，再选涂其他答案标号。
回答非选择题时，将答案写在答题卡上。
写在本试卷上无效。
3.考试结束后，将本试卷和答题卡一并交回。
一、选择题：本题共25小题，每小题2分，共50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。
古浪县隶属甘肃省武威市，地处河西走廊东端，其境内南部为山林区，中部为农业区，北部为荒漠区。
图1示意古浪县产水服务(生态系统服务的重要组成部分，满足人类日常生产、生活用水需求)供需匹配类型的空间分布。
据此完成1~2题。
1.海子滩镇成为产水服务低供给区的主要影响因素是A.土壤B.植被C.天气D.河流2.横梁乡成为产水服务低需求区的主要原因是A.人口稀少B.农业发达C.交通便利D.工业集中湖北省钟祥市磷矿累计探明储量达7.44亿吨，是全国重要的磷化工基地，其重工业产值占工业总产值的70%。
2009年钟祥市被列入我国第二批资源枯竭型城市名单，2022年钟祥市入选国家级生态文明建设示范区。
据此完成3～4题。
3.钟祥市重工业发达的主要原因是A.市场广阔B.矿产资源丰富C.交通便利D.政府政策支持4.钟祥市转型过程中适宜发展的产业是A.边境贸易B.石油化工业C.房地产业D.生态旅游业2022年4月1日，《西安都市圈发展规划》正式获批，规划中提出，西安都市圈要构建“一核、两轴、多组团”的空间结构。
图2示意西安都市圈的范围。
据此完成5~6题。
5.西安都市圈的发展轴是①咸阳—西安—渭南一线②铜川—西安一线③渭南—商洛一线④庆阳—咸阳一线A.①②B.②③C.③④D.①④6.为提升西安市的辐射功能，西安都市圈适宜采取的举措是A.各市均加快建设机场B.推进城市间轨道交通建设C.加快将产业向西安集聚D.各城市产业趋同发展2023年6月11日，宁夏—湖南±800千伏特高压直流输电工程(俗称“宁电入湘”)正式开工建设，这是我国首条以输送新能源为主的电力外送大通道，是我国“西电东送”的重要组成部分。
天一大联考(一)英语答案
【各档次的给分范围和要求】
第五档(很好)：(21-25分)
1.完全完成了试题规定的任务。
2.覆盖所有内容要点。
3.应用了较多的语法结构和词汇。
4.语法结构或词汇方面有些许错误，但为尽力使用较复杂结构或较高级词汇所致；具备较强的语言运用能力。
6.整体而言，基本达到了预期的写作目的。
第二档(较差)：(6-10分)
1.未恰当完成试题规定的任务。
2.漏掉或未描述清楚一些主要内容，写了一些无关内容。
3.语法结构单调、词汇项目有限。
4.有一些语法结构或词汇方面的错误，影响了对写作内容的理解。
5.较少使用语句间的连接成分，内容缺少连贯性。
6.信息未能清楚地传达给读者。
was
held inourschool.Because my English was the best inourclass,so all my classmates encouraged me to take partin the contest.I was so shy a girl that I even dared not answer questions in class.I was afraid of making mistakes
I can well remember that three weeks ago my classmatesand I wenttohelp anoldcoupledo some housework.After arriving,we helped wash the windows and mop the floor.We also sang and danced to cheerupthe oldcouple.Theyfelt very happy.We were also very happy though we felt a little tired. Later, our teacher praised us for our good deeds.
天一大联考2014-2015学年语文高中毕业班阶段性测试(三)
天一大联考（原豫东、豫北十所名校联考）2014-2015学年高中毕业班阶段性测试（三）安阳一中郸城一高扶沟高中鹤壁高中淮阳中学济源一中开封高中灵宝一高洛阳一高林州一中内黄一中南阳一中南阳五中平顶山一中濮阳一高商丘一高太康一高温县一中新乡一中夏邑高中信阳高中（学校名称按其拼音首字母顺序排列）本试题卷分第1卷（阅读题）和第Ⅱ卷（表达题）两部分。
考生作答时，将答案答在答题卡上（答题注意事项见答题卡），在本试题卷上答题无效。
考试结束后，将本试题卷和答题卡一并交回。
第1卷阅读题必考题一、现代文阅读（9分，每小题3分）阅读下面的文字，完成1~3题。
技术与人的关系，是一个不断演变的历史过程。
在手工劳动中，原始技术同劳动者不可分离。
手工劳动的技术，是最原始的技术，表现为劳动者的技能，即手控制手工工具的能力，亦称手工技能。
这种原始技术本质上是人的体能。
人的体能有两种功能：一是改变物体状态的能力，即体力。
二是控制物体的能力，在手工劳动中就表现为控制手工工具的能力。
这就是最早的技术——体技或手技。
所有的技术都是人对自己的超越。
人的双手的动作不准确、不精确，而手工技术追求的就是一准二精。
这种准确性和精确性的提高，不是通过工具，而是通过劳动者的苦练得来的。
“熟能生巧”，这“巧”是手之巧，靠的是熟练。
手工技能是由双手的动作的准和精表现出来的，它在一定程度上超越了人的生理局限，提高了人的生理功能，是“生理性技术”。
手工技能很难用语言文字来表达，它本身也不是知识，也不需要知识作为前提条件。
它只可意会，不可言传。
别人要学习这种技能，主要靠动作的模仿和用心去领悟。
这种技术的传授必须面对面进行。
这种手工技能是劳动者的身体所具有的，存在于劳动者体内，离开了劳动者的双手，这种技能就不再存在。
这种技能与其说是“社会的”，不如说是个人的，它不可能在空间上大规模传播，也不可能在时间上世代相传。
由于人具有高度的个性，所以手工技能也具有一定的个性。
2022-2023学年河南省高三下学期阶段性测试(四)文科数学试题 Word版含答案
2022—2023学年高中毕业班阶段性测试（四）文科数学一、选择题：本题共12小题，每小题5分，共60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．已知集合{}0A x x =≥，{}1B x x =≠，则A B ⋂=（ ） A ．{}0x x ≥B ．{}1x x >C ．{}011x x x ≤<>或D ．{}01x x ≤<2．若()12i 112i z +=+，则z =（ ） A ．34i +B ．34i -C ．43i +D ．43i -3．已知函数()f x 在R 上的导函数为()f x '，则“()00f x '=”是“0x 是()f x 的极值点”的（ ） A ．充分必要条件 B ．既不充分也不必要条件 C ．充分不必要条件D ．必要不充分条件4．已知向量a ，b 的夹角为56π，且3a =，1b =，则2a b +=（ ）A ．1B C ．2D5．已知函数()f x 是奇函数，且当0x ≥时，()f x x =，则()4f -=（ ）A ．4-B ．2-C ．2D ．46．若1cos 2cos sin sin 2cos θθθθθ--=，则tan 4πθ⎛⎫+= ⎪⎝⎭（ ）A ．3B ．2C D ．17．已知A 为抛物线C ：24y x =上在第一象限内的一个动点，()1,0M -，O 为坐标原点，F 为C 的焦点，若tan 3AMO ∠=，则直线AF 斜率的绝对值为（ ）A ．2B ．C ．13D ．438．若棱长均相等的正三棱柱的体积为O 的表面上，则球O 的表面积为（ ） A ．283π B ．1129π C ．6πD ．1123π 9．下表为某外来生物物种入侵某河流生态后的前3个月繁殖数量y （单位：百只）的数据，通过相关理论进行分析，知可用回归模型()1aty ea +=∈R 对y 与t 的关系进行拟合，则根据该回归模型，预测第6个月该物种的繁殖数量为（ ）第t 个月 1 2 3繁殖数量y1.4e2.2e2.4eA ．3e 百只 B ． 3.5e百只 C ．4e 百只D ． 4.5e百只10．函数()31123f x x x=+-的零点个数为（ ） A ．1B ．2C ．3D ．411．在ABC △中，角A ，B ，C 的对边分别为a ，b ，c ，若2A B =，则3a cb-的取值范围为（ ） A ．(]3,4B ．712,35⎛⎤⎥⎝⎦ C ．133,4⎛⎤⎥⎝⎦D ．(]2,512．已知双曲线()222210,0x y a b a b -=>>的左顶点为A ，点0,2b B ⎛⎫⎪⎝⎭，直线AB 与双曲线的两条渐近线分别交于P ，Q 两点，若线段PQ 的垂直平分线经过双曲线的右顶点，则双曲线的离心率为（ ） A ．2B ．3C ．52D ．233二、填空题：本题共4小题，每小题5分，共20分．13．在区间[]2,3-上随机取一个数x ，则1x >的概率为______．14．已知实数x ，y 满足约束条件10,10,240,x y x x y -+≤⎧⎪+≥⎨⎪-+≥⎩则3z x y =+的最大值为______．15．已知函数()()cos ,0,2f x A x A πωϕωϕ⎛⎫=+>≤⎪⎝⎭的部分图象如图所示，将()f x 的图象向右平移4T（T 为()f x 的最小正周期）个单位长度得到()g x 的图象，则()0g =______．16．已知圆锥内有一个内接圆柱，圆柱的底面在圆锥的底面内，当圆柱与圆锥体积之比最大时，圆柱与圆锥的底面半径之比为______．三、解答题：共70分．解答应写出文字说明，证明过程或演算步骤．第17～21题为必考题，每个试题考生都必须作答．第22，23题为选考题，考生根据要求作答．（一）必考题：共60分．17．（12分）已知数列{}n a 的前n 项和252n n nS -=．（Ⅰ）求{}n a 的通项公式； （Ⅱ）设10,10,2,10,n n n a n b b n -≤⎧=⎨>⎩求数列{}n b 的前30项和．18．（12分） 某超市为改善某产品的销售状况并制订销售策略，统计了过去100天该产品的日销售收入（单位：万元）并分成六组制成如图所示的频率分布直方图．（Ⅰ）求a 的值并估计过去100天该产品的日销售收入的平均值x ；（同一区间数据以中点值作代表）（Ⅱ）该超市过去100天中有30天将该商品降价销售，在该商品降价的30天中有18天该产品的日销售收入不低于0.6万元，判断能否有97.5%的把握认为该商品的日销售收入不低于0.6万元与该日是否降价有关．附：()()()()()22n ad bc K a b c d a c b d -=++++，其中n a b c d =+++．()20P K k ≥0.050 0.025 0.010 0k3.8415.0246.63519．（12分）如图，在四棱锥P -ABCD 中，PC BC ⊥，PA PB =，APC BPC ∠=∠． （Ⅰ）证明：PC AD ⊥；（Ⅱ）若AB CD ∥，PD AD ⊥，3PC =，且点C 到平面P AB 的距离为62，求AD 的长．20．（12分） 已知函数()32213f x x x ax =-+-，a ∈R ． （Ⅰ）若曲线()y f x =在点()0,1-处的切线斜率为4-，求()f x 的单调区间；（Ⅱ）若存在唯一的()00,2x ∈，满足()()01f x f =-，求a 的取值范围． 21．（12分）已知椭圆()2222:10x y C a b a b +=>>的离心率为23，且3⎫⎪⎪⎭为C 上一点． （Ⅰ）求C 的标准方程；（Ⅱ）点A ，B 分别为C 的左、右顶点，M ，N 为C 上异于A ，B 的两点，直线MN 不与坐标轴平行且不过坐标原点O ，点M 关于原点O 的对称点为M '，若直线AM '与直线BN 相交于点P ，直线OP 与直线MN 相交于点Q ，证明：点Q 位于定直线上．（二）选考题：共10分．请考生在第22，23题中任选一题作答，如果多做，则按所做的第一题计分． 22．[选修4-4：坐标系与参数方程]（10分）在直角坐标系xOy 中，曲线C 的参数方程为2224,4824t x t t y t ⎧=⎪⎪+⎨-⎪=⎪+⎩（t 为参数），以坐标原点O 为极点，x 轴正半轴为极轴建立极坐标系，直线l 的极坐标方程为cos sin 4ρθρθ+=． （Ⅰ）求曲线C 的普通方程；（Ⅱ）若P 为C 上一动点，求P 到l 的距离的取值范围． 23．[选修4-5：不等式选讲]（10分） 已知函数()112222f x x x =++-． （Ⅰ）求不等式()3f x <的解集；（Ⅱ）设()f x 的最小值为M ，若正实数a ，b 满足221a b M a b +=++，证明：32a b +≥．2022—2023学年高中毕业班阶段性测试（四）文科数学·答案一、选择题：本题共12小题，每小题5分，共60分．1．答案 C命题意图 本题考查集合的交运算． 解析 {}011A B x x x ⋂=≤<>或． 2．答案 A命题意图 本题考查复数的四则运算． 解析 ()()()()112i 12i 112i 1520i34i 12i 12i 12i 5z +-+-====-++-，则34i z =+．3．答案 D命题意图 本题考查极值点的概念以及充分必要条件的判断．解析 由极值点的定义，若0x 为()f x 的极值点，则有()00f x '=，而由()00f x '=不一定推得0x 为()f x 的极值点，例如()3f x x =，故“()00f x '=”是“0x 是()f x 的极值点”的必要不充分条件． 4．答案 A命题意图 本题考查平面向量的运算． 解析 ()22222443431ab a ba ab b +=+=+⋅+=+⨯=． 5．答案 C命题意图 本题考查奇函数的概念．解析 因为()f x 是奇函数，所以()()44f f -=-，又()442f ==-，所以()42f -=． 6．答案 A命题意图 本题考查三角恒等变换．解析 由题意()2112sin 1tan 2sin cos θθθθ--=-，即1tan 2θ=，1tantan 142tan 3141tan tan 142πθπθπθ++⎛⎫+===⎪⎝⎭--． 7．答案B命题意图 本题考查抛物线的性质．解析设211,4y A y ⎛⎫ ⎪⎝⎭，1210tan 314AMy AMO k y -∠===+，解得1y 或1y =12A ⎛ ⎝或(2,A ，又()1,0F ，所以0112AF k ==--AF k ==AF k =． 8．答案 D命题意图 本题考查三棱柱的外接球．解析 设该正三棱柱棱长为x ，底面三角形的外接圆半径为r ，则21sin 602x x ︒⋅⋅=，∴4x =，则r =O 半径为R ，则22216284233x R r ⎛⎫=+=+=⎪⎝⎭，228112=4=4=33S R πππ⨯表． 9．答案 C命题意图 本题考查回归分析． 解析 由题意，1aty e+=两边取自然对数得ln 1y at =+，令ln u y =，则1u at =+．()1231ln ln ln 23u y y y =++⨯=，()123123t t t t =++⨯=，∵回归直线必过样本点的中心，∴221a =+，得12a =，∴12tu =+，则12t y e +=．当6t =时，4y e =．10．答案 B命题意图 本题考查函数零点问题．解析 易知()f x 的定义域为{}0x x ≠，()422211x f x x x x -'=-=，令()0f x '<，解得10x -<<或01x <<，∴()f x 在()1,0-和()0,1上单调递减，令()0f x '>，解得1x <-或1x >，∴()f x 在(),1-∞-和()1,+∞上单调递增．当1x =-时，()f x 取得极大值()10103f -=-<，易知()f x 在(),0-∞上没有零点；当1x =时，()f x 取得极小值()2103f =-<，且1820381f ⎛⎫=> ⎪⎝⎭，()7206f =>，可知()f x 在()0,+∞上有2个零点．综上所述，()f x 的零点个数为2． 11．答案 C命题意图 本题考查解三角形．解析 ∵2A B =，∴sin sin 22sin cos A B B B ==且0,3B π⎛⎫∈ ⎪⎝⎭，()3sin sin sin33sin 4sin C A B B B B =+==-，由正弦定理可得333sin sin 6sin cos 3sin 4sin sin sin a c A C B B B Bb B B---+==()226cos 41cos 34cos 6cos 1B B B B =+--=-++，令1cos ,12B t ⎛⎫=∈ ⎪⎝⎭，则23461a c t t b -=-++，由二次函数性质知2134613,4t t ⎛⎤-++∈ ⎥⎝⎦，∴3133,4a c b -⎛⎤∈ ⎥⎝⎦． 12．答案 B命题意图 本题考查双曲线的性质和离心率的求法． 解析 不妨设点P 在直线b y x a =上，由题可知(),0A a -，∴2AB b k a =，∴:22AB b bl y x a =+，由,22,b by x a b y x a⎧=+⎪⎪⎨⎪=⎪⎩得,,P P x a y b =⎧⎨=⎩∴(),P a b ，同理,33a b Q ⎛⎫- ⎪⎝⎭，∴PQ 的中点为2,33a b ⎛⎫ ⎪⎝⎭，PQ 的垂直平分线方程为2233b a a y x b ⎛⎫-=-- ⎪⎝⎭，将0,y x a=⎧⎨=⎩代入整理得222b a =，则e ==二、填空题：本题共4小题，每小题5分，共20分． 13．答案35命题意图 本题考查几何概型的计算．解析 在区间[]2,3-上随机取一个数x ，若1x >，则[)(]2,11,3x ∈--⋃，所以1x >的概率为()()12313325-++-=+．14．答案 9命题意图 本题考查线性规划．解析 根据不等式组作出可行域如图中阴影部分所示，当目标函数表示的直线经过点()2,3时，3z x y =+取得最大值9．15．答案 3命题意图 本题考查三角函数的图象和性质． 解析 由图可知2A =，22362T πππ=-=，∴T π=，22πωπ==．由()226k K πϕπ⨯+=∈Z ，及2πϕ≤，得3πϕ=-，∴()2cos 23f x x π⎛⎫=-⎪⎝⎭，∴()52cos 22cos 2436g x x x πππ⎡⎤⎛⎫⎛⎫=--=- ⎪ ⎪⎢⎥⎝⎭⎝⎭⎣⎦，∴()502cos36g π==- 16．答案23命题意图 本题考查导数的应用．解析 设圆锥的底面半径为R ，圆锥的轴截面为等腰三角形，底边长为2R ，设其底角为α，则圆锥的高为tan R α，圆锥的体积为3tan 3R πα．设圆锥内接圆柱的底面半径为r ，高为h ，则tan tan r R hR R αα-=，即()tan h R r α=-，则圆柱的体积为()()2223tan tan r h r R r Rr r ππαπα=-=-，()0,r R ∈．圆柱与圆锥体积之比为23233r r R R ⎛⎫- ⎪⎝⎭，设()01r t t R =<<，()23f t t t =-，则()()22323f t t t t t '=-=-．由()0f t '=，得23t =，当203t <<时，()0f t '>，当213t <<时，()0f t '<，所以当23t =时，()f t 取得最大值，即圆柱与圆锥体积之比最大，此时23r R =．三、解答题：共70分．解答应写出文字说明，证明过程或演算步骤． 17．命题意图 本题考查数列求通项和数列求和． 解析（Ⅰ）111522a S -===-， 当2n ≥时，有252n n n S -=，()()211512n n n S ----=，两式相减得()()()2215151322n a n n n n n n ⎡⎤=---+-=-≥⎣⎦，当1n =时，12a =-符合上式，故3n a n =-．（Ⅱ）设数列{}n b 的前n 项和为n T ，则()()()301210111220212230T b b b b b b b b b =++⋅⋅⋅++++⋅⋅⋅++++⋅⋅⋅+． 由题意得1210121010b b b a a a S ++⋅⋅⋅+=++⋅⋅⋅+=，()11122012101022b b b b b b S ++⋅⋅⋅+=++⋅⋅⋅+=，()21223011122010102224b b b b b b S S ++⋅⋅⋅+=++⋅⋅⋅+=⨯=，∴()230107710501752T S ==-=． 18．命题意图 本题考查频率分布直方图和独立性检验．解析 （Ⅰ）依题意有()1.5 2.5 2.00.80.20.11a +++++⨯=，得 3.0a =．0.350.150.450.250.550.300.650.200.750.080.850.020.537x =⨯+⨯+⨯+⨯+⨯+⨯=．（Ⅱ）依题意作2×2列联表：()221001858121218.36730707030K ⨯⨯-⨯=≈⨯⨯⨯．因为18.367 5.024>，所以有97.5%的把握认为该商品的日销售收入不低于0.6万元与该日是否降价有关． 19．命题意图 本题考查线线垂直的证明，以及点到面距离的求法． 解析（Ⅰ）如图，连接AC ，∵PA PB =，APC PBC ∠=∠，PC PC =，∴PAC PBC ≌△△， ∴90PCA PCB ∠=∠=︒，即PC AC ⊥．∵PC BC ⊥，AC BC C ⋂=，PC ⊥平面ABCD ， 又AD ⊂平面ABCD ，∴PC AD ⊥．（Ⅱ）取AB 的中点E ，连接PE ，CE ．∵PA PB =，∴PE AB ⊥，由（Ⅰ）知AC BC =，∴CE AB ⊥， ∵PE CE E ⋂=，∴AB ⊥平面PCE ，又AB ⊂平面P AB ，∴平面PAB ⊥平面PCE ．过C 作CH PE ⊥于H ，则CH ⊥平面P AB ，由条件知6CH =． 易知PC CE ⊥，设CE m =，则23PE m + 由1122PC CE PE CH ⋅=⋅2633m m =+，得3m =，∴3CE = ∵PD AD ⊥，AD PC ⊥，PC PD P ⋂=，∴AD ⊥平面PCD ，∴AD CD ⊥， 又∵AB CD ∥，∴AD AB ⊥，∴四边形AECD 为矩形，∴3AD CE ==20．命题意图 本题考查导数的几何意义，以及函数与方程的综合问题． 解析（Ⅰ）()222f x x x a '=-+，由题意知()04f a '==-．所以()()()2224212f x x x x x '=--=+-，则当1x <-或2x >时，()0f x '>，当12x -<<时，()0f x '<，所以()f x 的单调递增区间为(),1-∞-和()2,+∞，单调递减区间为()1,2-． （Ⅱ）由()()01f x f =-，得()()010f x f --=， 即()()()323200021113x x a x ⎡⎤⎡⎤-----+--⎡⎤⎣⎦⎣⎦⎣⎦()()()()()20000002111113x x x x x a x =+-+--+++ ()()200011253503x x x a =+-++=． 根据已知，可得方程20025350x x a -++=在区间()0,2内仅有一个实根，设函数()22535g x x x a =-++，其图象的对称轴为()50,24x =∈，所以只需()()()258350,00,20,a g g ∆=-+>⎧⎪>⎨⎪<⎩或0∆=，解得513a -<<-或58a =-，即a 的取值范围是55,138⎛⎫⎧⎫--⋃-⎨⎬ ⎪⎝⎭⎩⎭．21．命题意图 本题考查椭圆方程和定直线的证明． 解析 （Ⅰ）设椭圆C 的焦距为()20c c >，由题意得222222,371019,c a a ba b c ⎧=⎪⎪⎪+=⎨⎪⎪=+⎪⎩，解得229,5,a b ⎧=⎪⎨=⎪⎩∴C 的标准方程为22195x y +=． （Ⅱ）由题可知()3,0A -，()3,0B ，设()11,M x y ，()22,N x y ，则()11,M x y '--，设:MN l x my n =+．联立22,1,95x my n x y =+⎧⎪⎨+=⎪⎩消去x 得()()2225910590m y mny n +++-=，∴1221059mn y y m -+=+，()21225959n y y m -=+，1122,3,3AM BN y k x y k x '⎧=⎪-⎪⎨⎪=⎪-⎩∴()11:33AM y l y x x '=+-，()22:33BN yl y x x =--， 又∵点P 为直线AM '和BN 的交点，∴112233,33,P P P P x y y y x y x y -⎧⋅=+⎪⎪⎨-⎪⋅=-⎪⎩故可得1212332P P x x x y y y ⎛⎫--=+⎪⎝⎭121233P my n my n y y y ⎛⎫+-+-=+ ⎪⎝⎭()121223P y y m n y y y ⎡⎤+=+-⎢⎥⎣⎦()()2102359P mn m n y n ⎡⎤-⎢⎥=+-⋅-⎢⎥⎣⎦， ∴33P P m x y n =+，故3:3OP m l x y n =+． 联立3:,3:,OP MN m l x y n l x my n ⎧=⎪+⎨⎪=+⎩消去y 得3Q x =-，因此，点Q 位于定直线3x =-上．22．命题意图 本题考查极坐标与参数方程．解析 （Ⅰ）()2222164t x t =+，()()22222444t y t -=+， ∴()()()()2222222222216441444t t t y x t t +-++===++， 又22282162244t y t t -==-+>-++， ∴曲线C 的普通方程为()22124y x y +=≠-． （Ⅱ）设P 到l 的距离为d ．令cos ,sin ,x y ρθρθ=⎧⎨=⎩得直线l 的直角坐标方程为40x y +-=，设()cos ,2sin P αα，[)0,2απ∈且32πα≠，则d ==1tan 2ϕ=， ∴d的取值范围是22⎡⎢⎣⎦． 23．命题意图 本题考查不等式的证明． 解析 （Ⅰ）由题意知()14,,4111,,4414,.4x x f x x x x ⎧-<-⎪⎪⎪=-≤<⎨⎪⎪≥⎪⎩令()3f x =，得34x =-或34， 结合图象可知()3f x <的解集为3344x x ⎧⎫-<<⎨⎬⎩⎭． （Ⅱ）由题意可知2121a b a b +=++，∴4121121a b -+-=++， ∴41221a b +=++． 令2m a =+，1n b =+，则412m n +=，()()141141333535432222n m a b m n m n m n m n ⎛⎫⎛⎫+=+-=++-=++-≥+-= ⎪ ⎪⎝⎭⎝⎭， 当且仅当23m n ==，即1a =，12b =时等号成立．。
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2
②当 SiTj Qi Pj 时，x=1；
③当 x=1 时，(i,j)有 16 种不同取值； ④M={-1,0,1} 其中正确的结论序号为______________ (填上所有正确结论的序号).
(Ⅱ)设 g ( x) f ( x)
2014-2015 学年高中毕业班阶段性测试(四)
(7)某几何体的三视图如图所示，则该几何体的体积为 A.12+ B.8+ C.12- D.6- (8)已知变量 x,y 满足 A.(-2，2)
数学(理科)
第Ⅰ卷
一、选择题:本大题共 12 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. 2 (1)已知集合 P={x|x -1≤0}，M={a}，若 P∪M=P，则实数 a 的取值范围是 A.(-∞,-1] B.[1,+∞) C.[-1,1] D.(-∞,-1]∪[1,+∞) (2)复数
*
n
(20)( 本小题满 定 圆
分 12 分)
“ 阶梯等比数列” ，
an 的值称为“阶梯比” ，若数列{an}是 3 阶梯等比数列且 a1=1，a4=2，则 an
M;(x+ 3 ) +y =16，动圆 N 过点 F( 3 ,0)且与圆 M 相切，记圆心 N 的轨迹为 E. (Ⅰ)求轨迹 E 的方程； (Ⅱ)设点 A,B,C 在 E 上运动，A 与 B 关于原点对称，且|AC|=|CB|，当△ABC 的面积最小时，求 直线 AB 的方程. (21)(本小题满分 12 分) 已知函数 f ( x)
4 m( x m) 1 (0 m ) ， ln x 2
三、解答题：解答应写出文字说明，证明过程或演算步骤.
(17)(本小题满分 12 分) 设△ABC 的内角 A，B，C 所对的边分别是 a,b,c，且 sinAsinC= (Ⅰ)若 a,b,c 成等比数列，求角 B 的大小； (Ⅱ)若 cosB=
ˆ 0.7 x 0.35 ， 根据上表提供的数据，求出 y 关于 x 的线性回归方程为 y
则表中 t 的值为____________.
2 * (14)若 3 x 5 (n∈N )的展开式中含有常数项，则 n 的最小值为___________. x
2 (15)若数列{an}对任意的正整数 n 和常数(∈N )，等式 an an an 2 都成立，则称数列{an}为
(18)(本小题满分 l2 分) 某校体育教师至少擅长篮球和足球中的一项，现已知有 5 人擅长篮球，2 人擅长足球，从该校 的体育教师中随机选出 2 人，设 X 为选出的 2 人中既擅长篮球也擅长足球的人数，已知 P(X＞ 0)=
7 . 10
(Ⅰ)求该校的体育教师的人数； (Ⅱ)求 X 的分布列并计算 X 的数学期望与方差. (19)(本小题满分 12 分) 如图，直角梯形 CDEM 中，CD∥EM，ED⊥CD,B 是 EM 上一点，且 CD=BM= 2 CM=2,EB=ED=1，沿 BC 把△MBC 折起得到△ABC，使平面 ABC⊥平面 BCDE. (Ⅰ)证明:平面 EAD⊥平面 ACD. (Ⅱ)求二面角 E-AD-B 的大小.
1 x2 .(Ⅰ)求函数 f(x)在区间 [e 4 , e] 上的最值； ln x
a13=_________. (16)若正方体 P1P2P3P4-Q1Q2Q3Q4 的棱长为 1, 集合 M {x | x PQ ， 1 1 SiT j , S , T {P, Q}, i, j {1, 2,3, 4}} 则对于下列结论： ①当 SiTj PQ 时，x=1； i j
(ll)下列关于函数 f ( x) 3 cos 2 x +tan(x
4
) 的图的叙述正确的是
A.关于原点对称 B.关于 y 轴对称 C.关于点 ( ， 0) 对称 D.关于直线 x
4
4
对称
(12)已知函数 f ( x) ax sin x A.1 B.
5 8
3 (a＞0)在 ( ， ) 内有两个零点，则 a 的可能值为 2 2 3 15 C. D. 16
第Ⅱ卷
本卷包括必考题和选考题两部分.第 13—21 题为必考题，每个试题考生都必须作答.第 22—24 题为选考题，考生根据要求作答， 二、填空题：本大题共 4 小题，每小题 5 分. (13)下表提供了某学生做题数量 x(道)与做题时间 y(分钟)的几组对应数据： x y 3 2.5 4 t 5 4 6 4.5
3 . 4
2 ，求 tanA+tanC 的值. 3
若函数 g(x)有三个极值点，设为 a,b,c 且 a＜b＜c. 证明:0＜2a＜b＜1＜c，并求出函数 g(x)的单调区间(用 a,b,c 表示). 请考生在第 22、23、24 三题中任选一题作答，如果多做，则按所做的第一题计分.作答时请写 清题号. (22)(本小题满分 10 分)选修 4-1:几何证明选讲 如图所示，⊙O 的直径为 AB,AD 平分∠BAC,AD 交⊙O 于点 D,BC∥DE，且 DE 交 AC 的延长线于点 E,OE 交 AD 于点 F. (Ⅰ)求证：DE 是⊙O 的切线； (Ⅱ)若 AB=10，AC=6 求 DF 的 长.
(24)(本小题满分 10 分)选修 4-5: 已知 a,b,c 为正实数. (I)若 ab(a+b)=2，求 a+b (Ⅱ)若 abc(a+b+c)=1，求
不等式选讲 的最小值； (a+b)(b+c)的最小值.
3 2i 3 2 i (其中 i 为虚数单位)的虚部是 2 3i 2 3i
32 n +2 1 n A. 2
1 2 n +2 1 n B. 3 2 2
32 n +2 1 n C. 2
D.
1 2 n +2 3 3 n 2 2
(10)以原点 O 为中心，焦点在 x 轴上的双曲线 C，有一条渐近线的倾斜角为 60° ，点 F 是该双曲线 的右焦点.位于第一象限内的点 M 在双曲线 C 上，且点 N 是线段 MF 的中点.若 | ON || NF | 1 ， 则双曲线 C 的方程为 A. x 2