成都外国语学校高2012级第3次月考试题
2022-2023学年四川省成都外国语学校高二3月月考生物试题
2022-2023学年四川省成都外国语学校高二3月月考生物试题1.下列关于传统发酵技术应用的叙述，正确的是（）A．多种微生物参与了豆腐的发酵，其中起主要作用的是毛霉B．果酒、果醋制作分别利用了酵母菌和醋酸菌的无氧呼吸C．制作泡菜时，泡菜坛中加料不要加满，每天及时排气D．制作馒头时，馒头的松软与酵母菌产生的酒精有关2.家庭酿造甜米酒时一般是先将米煮熟，待其冷却后拌酒曲，然后在米饭中央挖一小洞，加盖后置于适当地方保温。
下列关于此过程的叙述，正确的是（）A．将米煮熟的目的只是消灭杂菌B．冷却的目的是防止拌酒曲时烫手C．在米饭中央挖洞有利于CO 2的排出D．发酵制米酒时并不需要严格密封3.关于泡菜、果酒和果醋的制作，下列叙述正确的是（）A．制作泡菜和果酒需要全程无氧环境，制作果醋需要通入氧气B．泡菜、果酒的制作过程中，蔬菜和水果都要充分的消毒C．制作果醋所需要的温度比制作果酒所需要的温度高D．制作果酒和果醋所需要的酶部分存在于线粒体基质中4.某研究小组欲利用如图装置进行葡萄酒和果醋发酵实验。
下列相关叙述正确的是（）A．制作葡萄酒时对葡萄的处理步骤为：去梗→清洗→灭菌→榨汁→装瓶B．进行葡萄酒发酵时，应对图示装置进行清洗、消毒，并将果汁装满瓶子C．进行葡萄酒发酵时，气阀a和气阀b应同时处于打开或关闭状态D．利用果酒进行果醋发酵时，应适当提高温度并打开气阀a5.传说杜康的儿子墨塔在一次酿酒时发酵过头，直至第21天开缸时，发现酒液已变酸但香气扑鼻，酸甜可口，于是他结合“甘一日”和“酉”字，给这种酸水起名为“醋”，下列有关叙述正确的是（）A．酿酒过程中发酵液出现的气体都是在酵母菌细胞的细胞质基质中产生的B．酿酒时糖类未耗尽，酵母菌的发酵也会停止，由pH上升和酒精含量增多导致C．墨塔酿酒反成醋可能是由于发酵装置密封不严造成的，若适当升温则醋味更浓D．统计活酵母菌数量时，可用显微镜直接计数法，统计的结果比实际数目低6.绍兴是黄酒之乡，“麦曲酶长，酵米复芳；白梅酒酿，伴淋寒香；压滤琼浆，煎煮陈藏”是对绍兴黄酒精致复杂酿造工艺的描述。
四川省成都外国语学校高三英语3月月考【会员独享】
成都外国语学校高2012级英语第5次月考注意事项：1．本试卷分为第Ⅰ卷（选择题做在答题卷上）和第Ⅱ卷（非选择题做在答题卷上）两部分。
2．本堂考试共120分钟，满分150分，本试卷共10页。
3．考试前，考生务必将自己的姓名，学号填写在机读卡上，并使用2B铅笔填涂。
试卷和答卷密封线以内必须按照要求填写。
第Ⅰ卷（共100分）第一部分：英语知识运用（共两节，满分50分）第一节：单项选择（共20小题，每小题1分，满分20分）从A,B,C,D四个选项中，选出可以填入空白处的最佳选项并在答题卡上将该项涂黑。
1. --Can I come and have a look at your new house?--.Yes,_______!A. with pleasureB. I like itC.I quite agreeD. by all means2. —Excuse me, but may I speak to Mr. Wilson?—You _____ the wrong number.There is _____ is called Mr. Wilson in our office.A. dialed; no such man asB. are dialing, no such a man asC. dialed; no such a man asD. are dialing, no such man as3. What _______ disappointment it is to see him lose the game since he spent quite ______ little time practising.A. a; aB. /;aC. a;/D. /; /4. _____ in her best skirt, the girl tried to make herself ____ at the party.A. Dressed; noticedB. Dressing; noticingC. Dressing; noticedD. Dressed; noticing5. So difficult _______ that no one could ______ a good solution to it.A. was the problem; come up withB. the problem was; come up withC. the problem was; put up withD. was the problem; put up with6. The Chinese film, ___ the Tang Dynasty, is well received by many foreign viewers.A. is set inB. setting inC. set inD. having set in7. Recently some Japanese have been trying to make conflicts with China, ______ effects we are greatly concerned.A. to whoseB. about whoseC. to whichD. about which8. Victor is taller than ___________ in his class.A. any other girlB. all the girlsC. any boyD. all the boys9. People are advised not to drive after drinking, and _____ seems to help a lot.A. itB. whichC. theyD. one10. It makes no ________which road you take; both lead to the city.A. senseB. pointC. differenceD. matter11. --- Fancy meeting you here!--- Pleased to see you. If they ________ me to the party, I ________ be here.A. hadn’t invited; wouldn’t beB. didn’t invite; wouldn’t beC. hadn’t invited; wouldn’t have beenD. didn’t invite; won’t be12. What caused the accident and who was responsible for it ________ a mystery.A. has remainedB. are remainedC. remainsD. remain13. Sometimes I feel like going to the countryside to _______ the noise, the dirt and the people.A. look forB. get intoC. get away fromD. look forward to14. You _____ pay too much attention to your assignment, for it is ever so important.A. mustn’tB. can’tC. needn’tD. oughtn’t to15. The shocking news made me realize _______ terrible problems we would face.A. howB. whatC. thatD. why16. Barack Obama has taken personal blame _______ the security failures which led ________ the attempt to blow up a plane on Chrismas Day.A. of; toB. for; toC. on; onD. in; on17. She was not ________ frightened. In fact, she was nearly frightened to death.A. a bitB. at allC. a littleD. much18..— Why not take my car to the museum instead of walking?— No, thanks. ________.A. I've got toB. I'm able toC. I'm about toD. I'm used to19. —When did you lose your passport, sir?—It was yesterday evening ______ I was walking down the street.A. whenB. thatC. whichD. on which20. He made a mistake, but then he corrected it ________ it got worse.A. untilB. whenC. beforeD. as第二节完形填空（共20小题；每小题1.5分，满分30分）阅读下面短文，从短文后各题所给的四个选项（A、B、C和D）中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。
2010-2023历年四川省成都外国语学校高三月考试卷(带解析)
2010-2023历年四川省成都外国语学校高三月考试卷（带解析）第1卷一.参考题库(共20题)1.Some people fear that ________ air pollution may bring about changes in _______ weather around the world.A．/; theB．the; /C．an; theD．the; a2.Isn't it time you got down to the papers?A．markB．be markedC．being markedD．marking3.Almost everybody in America will spend a part of his or her life behind a shopping cart（购物手推车）. They will, in a lifetime, push the chrome-plated contraptions many miles. But few will know—or even think to ask—who it was that invented them. Sylvan N. Goldman invented the shopping cart in 1937. At that time he was in the supermarket business. Every day he would see shoppers lugging（吃力地携带）groceries around in baskets they had to carry.One day Goldman suddenly had the idea of putting baskets on wheels. The wheeled baskets would make shopping much easier for his customers, and would help to attract more business.On June 4, 1937, Goldman’s first carts were ready for use in his market. He was terribly excited on the mo rning of that day as customers began arriving. He couldn’t wait to see them using his invention.But Goldman was disappointed. Most shoppers gave the carts a long look, but hardly anybody would give them a try.After a while, Goldman decided to ask custome rs why they weren’t using his carts. “Don’t you think this arm is strong enough to carry a shopping basket?” one shopper replied.But Goldman wasn’t beaten yet. He knew his carts would be a great success if only he could persuade people to give them a try. To this end, Goldman hired a group of people to push carts around his market and pretend they were shopping! Seeing this, the real customers gradually began copying the phony（假冒的） customers.As Goldman had hoped, the carts were soon attracting larger and larger numbers of customers to his market. But not only did more people come—those who came bought more. With larger, easier-to-handle baskets, customers unconsciously bought a greater number of items than before.Today’s shopping carts are five times larger than Goldman’s original model. Perhaps that’s one reason Americans today spend more than five times as much money on food each year as they did before 1937—before the coming of the shopping cart.【小题1】The underlined words “chrome-plate contraptions” in Paragraph 1 refer to ______.（within 3 words）_____________________________________________________________________ ________【小题2】What was the purpose of Goldman’s invention? （within 10 words）_____________________________________________________________________ ________【小题3】Why was Goldman disappointed at first? （within 10 words）_____________________________________________________________________ _________【小题4】Why did Goldman hire people to push carts around his market? （within 10 words）_____________________________________________________________________ _________【小题5】What is the main idea of this article? （within 10 words）_____________________________________________________________________ _________4.How many people have I met who have told me about the book they have been planning to write but have never yet found the time? Far too many.This is Life, all right, but we do treat it like a rehearsal (排演）and, unhappily, we do miss so many of its best moments.We take jobs to stay alive and provide homes for our families always making ourselves believe that this style of life is merely a temporary state of affairs along the road to what we really want to do. Then, at 60 or 65, we are suddenly presented with a clock and several grandchildren and we look back and realize that all those years waiting for Real Life to come along were in fact real life.In America they have a saying much laughed at by the English：“Have a nice day” they speak slowly and seriously in their shops, hotels and sandwich bars. I think it is a wonderful phrase, reminding us, in effect, to enjoy the moment: to value this very day. How often do we say to ourselves, "I'll take up horse-riding (or golf, or sailing） as soon as I get a higher position," only to do none of those things when I do get the higher position.When I first became a reporter I knew a man who gave up a very well paid respectable job at the Daily Telegraph to go and edit a small weekly newspaper. At the time I was astonished by what appeared to me to be his completely abnormal (反常的） mental state. How could anyoneturn his back on Fleet Street in central London for a small local area？I wanted to know.Now I am a little older and possibly wiser, I see the sense in it. In Fleet Street the man was under continual pressure. He lived in an unattractive London suburb and he spent much of his life sitting on Southern Region trains.【小题1】The first paragraph of the passage tells us that _______ .A．we always try to find some time to write a bookB．we always make plans but seldom fulfil themC．we always enjoy many of life's best momentsD．we always do what we really want to do【小题2】The underlined phrase "turn his back on" (paragraph 6） most probably means .A．leave forB．return toC．give upD．rely on【小题3】 The man ( paragraph 6） left his first job partly because he was ______.A. in an abnormal mental stateB. under too much pressureC. not well paid not respected【小题4】What is probably the best title for the passage?A．Provide Homes For Our FamilyB．Take Up Horse-ridingC．Value This Very DayD．Stay Alive5.Instead of hitting the beach, fourteen high school students traded swimming suits for lab coats last summer and turned their attention to scientific experiments.The High School Research Program offers high school students guidance with researchers in Texas A&M’s College of Agriculture and Life Sciences. Jennifer Funkhouser, academic adviser for the Department of Rangeland Ecology and Management, directs this four-week summer program designed to increase understanding of research and its career potential.Several considerations go into selecting students, including grades, school involvement and interest in science and agriculture. And many students come from poorer schooldistricts, Funkhouser says, “This is their chance to learn techniques and do experiments they never would have a chance to do in high school.”Warner Ervin of Houston is interested in animal science and learned how to tell male from female mosquitoes(蚊子）.His adviser, Craig Coates, studies the genes of mosquitoes that allow them to fight against malaria and yellow fever. Coates thought this experience would be fun and helpful to the high school students.The agricultural resea rch at A&M differs from stereotypes. It’s“molecular(分子）scienceon the cutting edge,” Funkhouser says. The program broadened students’ knowledge. Victor Garcia of Rio Grande City hopes to become a biology teacher and says he learned a lot about chemistry from the program.At the end of the program, the students presented papers on their research. They’re also paid $600 for their work-another way this program differs from others, which often charge a fee.Fourteen students got paid to learn that science is fun, that agriculture is a lot more than milking and plowing and that research can open many doors.【小题1】The research program is chiefly designed for _______.A．high school advisers from HoustonB．college students majoring in agricultureC．high school students from different placesD．researchers at the College of Agriculture and Life Sciences【小题2】It can be inferred from the text that the students in poorerareas ___________ .A．had little chance to go to collegeB．could often take part in the programC．found the program useful to their futureD．showed much interest in their high school experiments【小题3】When the program was over, the students ________.A．entered that collegeB．wrote research reportsC．paid for their researchD．found way to make money【小题4】The underlined expression “on the cutting edge” in paragraph 5 means “on the most ___ position”.A．importantB．favorableC．astonishingD．advanced6.---It’s burning hot today, isn’t it?----Yes. ________ yesterday.A．So was itB．So it wasC．So it isD．So is it7.I’m sure you’d rather she went to school by bus,_______?A．hadn’t youB．wouldn’t youC．aren’t ID．didn’t she8.下面文中共有10处语言错误，要求你在错误的地方增加、删除或修改某个单词。
2022-2023学年四川省成都外国语学校高二下学期3月月考地理试题
2022-2023学年四川省成都外国语学校高二下学期3月月考地理试题1. 近年来，国家不断加大西藏太阳能应用的投资，西藏有关部门也更加重视太阳能的开发和利用。
下图为西藏自治区年太阳辐射量分布图。
据此完成下面小题。
1．西藏西部年太阳辐射量的分布特点是（）A．随海拔增高而增多B．随河谷延伸为带状分布C．由南向北逐渐递增D．由西南向东北逐渐降低2．图中甲地年太阳辐射量低于其他地区，其主要原因是（）A．地处河谷，空气密度大B．海拔较低，植被状况好C．季风影响，多阴雨天气D．冰川广布，反射太阳光3．限制西藏地区开发太阳能的条件是（）A．海拔高，交通不便B．纬度较低，气候炎热C．边境地区，距市场远D．空气稀薄，紫外线强烈2. 读下图，分析回答下面小题。
1．图中A点位于C点的（）A．西南方向B．东北方向C．东南方向D．西北方向2．C、D两点间的距离约为（）A．550千米B．660千米C．1100千米D．277.5千米3．从E点到F点的最短航线是（）A．先西北后西南B．先东南后东北C．先西南后西北D．先东北后东南3. 读下图，完成下列各题。
1．图中①②③区域面积相比( )A．①＞②B．②＞③C．①＝③D．无法比较2．下列相关说法正确的是( )A．若海平面均一，③区域距地心比①区域稍长B．③区域位于①区域的东北方向C．③区域位于北半球、东半球D．②区域到③区域最近航线是先向东北、后向东南4. 青岛(120°E，36°N))的小明同学计划在今年五一期间到乌鲁木齐(88°E，44°N)探亲，下图示意小明打算预定的2020年4月30日车票信息(车票时间均为北京时间)。
据此完成下面小题1．从青岛北站出发及到达乌鲁木齐车站时，小明看到两地的太阳方位分别是A．西南方向、东南方向B．西北方向、西南方向C．西南方向、正南方向D．西北方向、正南方向2．Z105列车到达乌鲁木齐车站时，小明马上给在青岛的妈妈打电话报平安，小明和妈妈手表显示的时间是A．9:52、10:00 B．10:00、10:00C．10:00、12:00 D．12:00、12:005. 下图是小明同学设计的日期钟，该钟短指针固定指向180°经线，长指针指向零时所在经线，且与时间同步摆动。
四川省成都外国语学校2012届高三3月月考(数学文)
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四川省成都市外国语学校2022-2023学年高三3月月考语文试题及答案
四川省成都市外国语学校2022-2023学年高三3月月考语文试题一、非连续性文本阅读阅读下面的文字，完成下列小题。
材料一：神话是人类最原始的文化形态，是一种意识的存在。
尽管神话是对自然万物幻想式的解释，但是它仍然是一些客观现实的反映，在一定程度上反映了原始初民的生活情景、社会状况以及精神追求。
因此，我们有理由相信，神话中英雄形象反映出来的真、善、美以及正直、大公无私、诚实等高贵品质都是原始先民社会中的道德典范及行为要求。
虽然在上古时期还没有道德这一准确的概念，但是初民生活中无成文的行为规范要求已经成为大家共同遵守的准则，对于真善美的宣传和颂扬是人们得到共识的普遍道德追求。
神话正反映了人类早期的道德追求。
马克思主义伦理学认为，集体劳动和相互关心是原始社会道德的重要特征。
他们为着公共的利益，敢于牺牲、不屈不挠，往往表现出正直、刚毅、诚实的高贵品格。
这一重要特征在我国古代神话中，反映是很充分的。
在原始社会，各个部落的氏族成员都以维护自己部落的共同利益作为最高法则，这一基本的道德准则也集中地出现在了我国的古代神话中。
无论是开天辟地的盘古、射日除害的后羿、治理洪水的鲧禹、还是炼石补天的女娲、遍尝百草的神农等等，他们既是人们理想化了的天神，也是为部族的共同利益而勇敢献身的英雄，具有高尚、纯洁的个人品性。
从中国古代神话中可以看出，道德这一观念形态，在原始社会就已存在并成为调节氏族成员之间以及氏族部落之间关系的准则。
这一准则虽然还没有形成一种道德伦理体系，但是已经为人类的道德进步奠定了良好的基础，提供了原始社会公有制的道德类型。
中国神话形成了重视社会责任、倡导天下为公、大公无私、德行至上的道德伦理观。
中国神话中的神也往往是完美的伦理与道德的化身，是古代伦理道德的标榜和偶像。
从这个意义上也说明，中国神话是善的神话，反应了人类早期的道德追求。
有学者研究指出，神话是人类文明很重要的组成部分，它不是聊以消遣的故事，而是积极向上的力量；它不是理性解释或艺术幻想，而是原始信仰与道德智慧的实用宪章。
四川省成都外国语学校2012届高三第三次月考英语试题
试题分第Ｉ卷和第Ⅱ卷两部分。
满分150分，考试时间120 分钟。
第Ｉ卷第一部分英语知识运用（共两节，满分50）第一节语法和词汇知识（共20小题;每小题1分，满分20分）从A、B、C、D四个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。
1. –You’ve been getting home very late recently.-- _______? Can’t I enjoy myself if I want to?A. So howB. So whatC. So whyD. Like what2.Was it _____ she said or something that she did ______ you were angry at so much?A. What ; thatB. that ; whichC. that ; whatD. what; which3.Mr. Black took the police back to _____ place _____ she witnessed the robbery.A. the same ; asB. the same; whereC. the same; thatD. as the same; as4. –Got your driving license?-- No. I ____ too busy to have enough practice, so I didn’t take the driving test last week.I am going to next week.A. wasB. have beenC. amD. had been5.– How could you find ______ space to park your car?-- A kind young man managed to make ______ room for me.A. /; aB. a; /C. a; aD. /; /6. _________ that Maria was able to set up new branches elsewhere.A. So successful her business wasB. So successful was her business[来源:学科网]C. Such her business was successfulD. So was her successful business7._______, I’ll get the work finished.A. Given one more hourB. One more hourC. Giving me one more hourD. Give me one more hour8. _________ many times, my brother was at length ________ to the team.A. Applying; permittedB. Applied; permittedC. Having applied; admittedD. Had applied; admitted9. --Did Mary come to the party?--No. She ________, but her car got stuck in the snow.A. could haveB. would have doneC. couldn’t haveD. may have done10. –It’s said that the popular CD has been sold out.-- What a pity! How I regret that I didn’t buy______.A. anotherB. thatC. itD. one11. The house rent is high.. I’ve got about half the space I had at home and I’mpaying ______here.A. as three times muchB. as much three timesC. much as three timesD. three times as much12. --How much is your sweater ______?-- $ 25.A. costB. paidC. worthD. worthy13. – He has made some progress recently.-- So he has. He could have achieved more, ______.A. yetB. thoughC. eitherD. although14. The lawyer rarely wears anything other than jeans and a T-shirt _____ the season.A. whateverB. wheneverC. whereverD. however15. _____ is reported in the newspaper, talks between the two countries are making progress.A. ItB. AsC. ThatD. What16.– Did Jack come back early last year?-- Yes. It was not yet eight o’clock _____ he arrived home.A. beforeB. whenC. sinceD. that17. A woman was dug out ______ after being buried deep in the ruins for more than 200hours.A. livingB. aliveC. livelyD. live18. Mr. Smith said that their first trip to the seaside town was______ one but their second [来源:学§科§网Z§X§X§K]one was even more interesting.A. the most interestingB. very interestingC. a most interestingD. a more interesting19. As the light turned green, I stood for a moment, not ______, and asked myself what Iwas going to do.A. movedB. movingC. to moveD. being moved20. Without proper lessons, you could ______ a lot of bad habits when playing the piano.A. keep upB. pick upC. draw upD. catch up第二节完形填空（共20小题；每小题1.5分，满分30分）阅读下面短文，从短文后各题所给的四个选项（A、B、C和D）中，选出可以填入空白处的最佳选项，并在答题卡上将该选项涂黑。
攀枝花市成都外国语学校2022-2023学年高二下学期3月月考英语试卷(不含音频)
攀枝花成都外国语学校 2022-2023 学年度下期高二 3 月月考英语试题注意事项:1. 试题分听力和笔试两部分。
2. 本堂考试120 分钟，共150 分。
其中I卷满分 80 分，II 卷满分 70 分。
3. 答题前，考生务必先将自己的姓名、考号填写在答题卡上，并使用 2B 铅笔填涂。
4. 考试结束后，只将答题卡交回。
第一部分听力（共两节，满分20 分）第一节（共 5 小题；每小题 1 分，满分5分）听下面 5 段对话。
每段对话后有一个小题，从题中所给的 A、B、C 三个选项中选出最佳选项。
听完每段对话后，你都有 10 秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1.Where did the man spend his New Year's Day?A.In Australia.B. In America.C. In New Zealand.2.What did the woman receive?A.A New Year card.B. A postcard.C. An invitation.3.What is the man going to do tonight?A.Go to the store.B. Go to a party.C. Go to the library.4.Which bus can the woman change to at the public library?A. No. 105.B. No. 235.C. No. 325.5.What does the woman usually do on Saturday nights?A.She meets friends.B. She rests at home.C. She does cleaning.第二节（共 15 小题；每小题 1 分，满分 15 分）听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A、B、C 三个选项中选出最佳选项。
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成都外国语学校高2012级第3次月考试题一、选择题（每小题5分，共60分） 1．已知集合A=}121|{xx y x --=，集合B=}121,12|{≤≤-=x x y y ，则A B=（ ）A.（0,1）B.[0,1]C.(0,1]D.[0,1)2．(理科)已知i 为虚数单位，且复数22)()1(i i m i m ⋅+++⋅为纯虚数，则实数m 的值是（ ）。
A. 0或1 B.1- C. 0 D. 1(文科)已知平面向量)2,2(-=a ，)4,3(=b ，c a b a ⋅=⋅，则|c |的最小值是（ ） A.2 B.2 C.21 D.223．(理科)已知随机变量服从正态分布N(M,4)，且P(ξ＜2-)+ P(ξ≤0)=1，则M=（ ）A.2-B.2C.1D.1-(文科)某中学有学生3000人，其中高一、高三学生的人数是1200人、800人，为了解学生的视力情况，采用按年级分层抽样的方法，从该校学生中抽取一个480人的样本，则样本中高一、高二学生的人数共有（ ）人。
A.288B.300C.320D.352 4．将函数1log2-=x y 的图象按向量a 平移后得到函数2log)]3(4[2+=-x y 的图象，则a =（ ）A.a =(3,5)B.a =(3-,5)C.a =(3-,2)D.a =(3-,2-)5．已知m 是平面α的一条斜线，点A α∉，l 为过点A 的一条动直线，那么下列情形中可能出现的是（ ）A.l ∥m ,l ⊥αB.l ⊥m ,l ⊥αC.l ⊥m ,l ∥αD. l ∥m ,l ∥α6．已知G 是△ABC 的重心，且3GA =++c b a ，其中c b a ,,分别为角A 、B 、C 的对边，则c cos =（ ） A.23 B.23-C.65 D.637．如图，在正四面体ABCD 中，E 为AB 的中点，F 为CD 的中点，则异面直线EF 与AC 所成的角为（ ） A.90º B.60ºC.45ºD.30º8．如图：4321,,,l l l l h ，正方形ABCD 的四个顶点分别在这四条直线上， 且正方形的边长为5，则h =（ ）。
A.45 B.25 C.5 D.109．已知函数⎪⎩⎪⎨⎧≤---=)1()1(,5)(2x ＞xa x ax x x f 是R 上的增函数，则a 的取值范围是（ ）A.3-≤a ＜0B.3-≤a ≤2-C.a ≤2-D.a ＜0 10．已知等差数列}{n a 的前n 项和为n S ，若17017=S ，则1197a a a ++的值为（ ）A.10B.20C.25D.30 11．命题|2:|+x p ＞2，命题:q x-31＞1，则q ⌝是p ⌝成立的（ ）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12．若三个连续的两位数满足下列条件：①它们的和仍为两位数；②它们的和的个位数字比原来的三个数的每一个数的个位数字都大；则称这样的三个数为“三顶数”，则这样的“三顶数”的组数有（ ）组。
A.9B.10C.11D.12 二、填空题（每小题4分，共16分） 13．若62)1(ax x +的展开式中的常数项为1615，则实数a 。
14．若不等式2|1|-≥-kx x 对一切实数恒成立，则实数k 的取值范围是 。
15．已知球O 是棱长为62的正方体ABCD —A 1B 1C 1D 1的内切球，则平面AC D 1截球O 的截面面积为 。
16．已知函数)1(log )(2bx x x f a ++=（a ＞0且a ≠1），给出如下判断： ①函数)(x f 为R 上的偶函数的充要条件是0=b ； ②若1,21-==b a ，则函数)(x f 为R 上的减函数；③当a ＞1时，函数为R 上的增函数；④若函数)(x f 为R 上的奇函数，且为R 上的增函数，则必有0＜a ＜1，1-=b 或a ＞1，1=b 。
其中所有正确判断的番号是 。
三、解答题（共74分）17．（12分）已知函数R x x x x f ∈+-++=),321(sin34)4(sin 4)(22π。
（1）求函数)(x f 的最小正周期和图象的对称中心； （2）求函数)(x f 在区间]2,4[ππ上的值域。
18．（12分）在盒子里有大小相同仅颜色不同的乒乓球共10个，其中红球5个，白球3个，蓝球2个。
现从中任取一球确定颜色后再放回盒子里，最多取3次。
若取出的是蓝球，则不再取球。
（1）求最多取两次就结束取球的概率；（2）（理科）求取球次数的分布列和数学期望； （文科）求正好取到两次白球的概率。
19．（12分）已知等腰Rt △RBC 中，∠RBC=2π，RB=BC=2，点A 、D 分别是RB 、RC 的中点，现将△RAD沿着边AD 折起到△PAD 的位置，使PA ⊥AB ，连结PB 、PC 。
（1）求证：BC ⊥PB ；（2）求二面角A —CD —P 的平面角的余弦值。
20．（12分）已知函数222)(-=x x f 的反函数为)(1x f -，各项均为正数的两个数列}{},{n n b a 满足：)(),(1n fb S f a n n n -==，其中n S 为数列}{n a 的前n 项和，*N n ∈。
（1）求数列}{},{n n b a 的通项公式； （2）若数列}{n c 的前n 项和为n T ，且nn n b a c )2(21+=+，试比较n T 与21的大小。
21．（12分）（理科）已知函数R t R x t x t tx x x f ∈∈-+-+=,,1634)(223。
（1）当0≠t 时，求)(x f 的单调区间；（2）证明：对任意)(),,0(x f t +∞∈在区间(0,1)内均存在零点。
（文科）已知函数1)(,1231)(223++-=-++=x x x g x bx ax x f ，若函数)(x f 的图象与函数)(x g 的图象的一个公共点P 的横坐标为1，且两曲线在点P 处的切线互相垂直。
（1）求实数b a ,的值；（2）对任意]1,1[,21-∈x x ，不等式k x f +)(1＜)(2x g 恒成立，求实数k 的取值范围。
22．（14分）（理科）已知函数1)1()1ln()(+---=x k x x f 。
（1）求函数)(x f 的单调区间；（2）若)(x f ≤0恒成立，试确定实数k 的取值范围； （3）证明：1ln 54ln 43ln 32ln +++++n n ＜4)1(-n n （*N n ∈，且n ＞1）。
（文科）在数列}{n a 中，*11,2,1N n n a a a n n ∈+==+。
（1）记1++=n a b n n ，求证：数列}{n b 是等比数列，并写出数列}{n a 的通项公式； （2）在（1）的条件下，记3222++=n nn b c ，数列}{n c 的前n 项和为n S 。
求证：n S ＜31+n 。
参考答案一、选择题（每小题5分，共60分） 二、填空题。
（每小题4分，共16分）13．2±=a 14．]1,1[-∈k 15．π4 16．①④ 三、解答题。
17．解：12cos 32)]22cos(1[2)(--+-=x x x f π1)32s i n (412c o s 322s i n 2+-=+-=πx x x（1）ππ==22T ，对称中心Z k k ∈+),1,62(ππ。
（2）当24ππ≤≤x 时，]32,6[32πππ∈-x∴]1,21[)32sin(∈-πx∴)(x f 在]2,4[ππ∈x 上的值域为[3,5]18．解：（1）设取球次数为1ξ，则254)2(,51)1(11012110181110121=⨯=====CC CC P CC P ξξ∴所以最多取两次就结束的概率25925451=+=P 。
（2）（理科）∴E ξ=1×51+2×254+3×2516=2561（文科）设正好取到两次白球的事件为B ，则P(B)=10001531021031033103103105=⨯⨯+⨯⨯⨯19．解：（1）∵A 、D 分别为RB 、RC 的中点，∴AD ⊥平面PAB∴BC ⊥平面PAB ，PB ⊂平面PAB ∴BC ⊥PB 。
（2）∵PA ⊥AB ，∴PA ⊥平面ABCD过A 作AE ⊥RC 于点E ，连结PE ，∴PE ⊥RC 。
∴PEA 为二面角P —CD —A 的平面角，∵PA=1，BC=2，AE=22，∴PE=23∴cos ∠PEA=332321=∴二面角A —CD —P 的平面角的余弦值为33。
20．解：（1）由222)(-=x x f ，得)2()2(81)(21-≥+=-x x x f∴.,)2(81*2N n n b n ∈+=由222)(-==n n n S S f a ，得.)2(812+=n n a S当1=n 时，得21=a 当2≥n 时，211)2(81+=--n n a S∴2121)2(81)2(81+-+=---n n n n a a S S∴0)4()(11=--⋅+--n n n n a a a a ，∵n a ＞0 ∴)2(41≥=--n a a n n ∴2)2(81,24+=-=n b n a n n（2）2111)2)(1(1)2(42)44(2)2(21+-+=++=+⋅+=⋅+=+n n n n n n b a c nn n∴2121211141313121+-=+-+++-+-=n n n T n ＜2121．（理科）解：（1）226612)('t tx x x f -+=，令0)('=x f ，得t x -=1或22t x =。
1º当t ＞0时，)('x f ＞0的解集为),2(),(+∞--∞tt∴)(x f 的单调增区间为),2(),,(+∞--∞tt)(x f 的单调减区间为)2,(t t -。
2º当t ＜0时， )('x f ＜0的解集为),2(t t-∴)(x f 的单调增区间为),(),2,(+∞--∞t t)(x f 的单调减区间为),2(t t -。
（2）由（1）可知，当t ＞0时，)(x f 在)2,0(t内递减，),2(+∞t内单调递增。
∴1º当12≥t 即2≥t 时，)(x f 在(0,1)递减，在(1,+∞)递增。
1)0(-=t f ＞0，346)1(2++-=t t f ＜0 ∴)(x f 在(0,1)内有零点。
2º当0＜2t ＜1,即0＜t ＜2时,)(x f 在)2,0(t 内递减,在)1,2(t内单调递增。