湖北省孝感高级中学2014-2015学年高二上学期期末考试英语试题

湖北省部分重点中学2014-2015学年度高二上学期期中考试英语试题全卷共四部分。

满分150分。

考试用时120分钟。

第一部分：听力（共两节，满分30分）做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节（共5小题；每小题1.5分，满分7.5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，并标在试卷的相应位置。

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。

例如：How much is the shirt?A. £ 19.15.B. £ 9.15.C. £ 9.18.答案：B1. What does the man want to use the third room as?A. A living room.B. A guest room.C. A study.2. Where does the man work?A. In a hotel.B. In a travel agency.C. At an airport.3. What did the man do yesterday afternoon?A. He went out with Ken.B. He watched TV.C. He played baseball.4. What will the man do this weekend?A. Help Nick move house.B. Go shopping.C. Hold a house-warming party.5. What did the man’s teacher think of his paper?A. It was terrible.B. It was perfect.C. It could be better.第二节（共15小题；每小题1.5分，满分22.5分)听下面5段对话或独白。

孝感高中2014—2015学年度高二上学期期末考试生物试题曾晓辉考试时间：90分钟满分：100分★祝考试顺利★一、选择题：本大题共40小题。

1—30每小题1分，31—40每小题2分，共50分。

在每小题的四个选项中，只有一项是最符合题目要求的。

1．与肌肉注射相比，静脉点滴因能将大剂量药物迅速送到全身细胞而疗效显著。

图中所示的内环境a、b、c、d的名称分别是①组织液②血浆③淋巴④细胞内液A．③①②③B．④②③①C．①②③①D．②③①①2．下列不属于内环境稳态实例的是A．浆细胞产生的抗体与突破人体第一、二两道防线的流感病毒结合B．某人吃庆丰包子铺的大糖包后体内胰岛素分泌增多C．夏天高温时出汗较多，上厕所的次数比平时少D．剧烈运动时细胞产生较多的乳酸，但细胞内的pH维持在7．35～7．45之间3．PM 2.5是指大气中直径小于或等于2.5微米的细颗粒物，富含大量的有毒、有害的物质，严重影响人们健康。

下列推测不合理的是A．颗粒物如硅尘入肺可能会导致吞噬细胞的溶酶体膜破裂，释放水解酶破坏细胞结构B．PM2.5超标的空气使过敏病人发病时，B淋巴细胞的细胞周期缩短C．PM2.5含量过高主要是人类活动的影响超过了生态系统的自我调节能力D．PM2.5中的一些酸性物质进入人体血液会导致其pH呈酸性4．下列有关人体免疫的叙述正确的有（）项①血浆中溶菌酶的杀菌作用属于人体的第一道防线②抗原都是外来异物③人体分泌的乳汁中含有某些抗体④吞噬细胞可参与特异性免疫⑤过敏反应一般不会破坏组织细胞⑥HIV主要攻击人体的T细胞，引起自身免疫病⑦对移植器官的排斥是通过细胞免疫进行的A．2 B．3 C．4 D．55．高三学生李丁元最近到医院体检，体检报告中的检验结果显示：乙肝抗原呈阴性(－)，乙肝抗体呈阳性(＋) (说明：“＋”表示有，“－”表示没有)。

他说自己没有注射过乙肝疫苗，就此结果向你咨询，你应该给他怎样的合理答复A．你体内带有乙肝抗体，说明一定也有乙肝病毒，需要到医院就诊B．你体内没有乙肝病毒，但含有乙肝抗体，一定是妈妈怀孕时传递给你的免疫力C．你体内没有乙肝病毒，但含有乙肝抗体，说明你可能曾感染乙肝病毒后痊愈了D．你体内没有乙肝病毒，但含有乙肝抗体，这是父母遗传给你的免疫力6．下图是血液流经肾脏的示意图，有关叙述错误的是A．血液中的血浆蛋白和尿素均属于内环境的成分B．红细胞生活的具体内环境是血浆，肾小囊壁细胞生活的具体内环境是组织液C．红细胞内被血红蛋白携带的O2进入肾小囊壁细胞被利用至少需穿过12层磷脂分子D．肾小囊肾炎可使组织液渗透压升高，可能导致组织水肿7．以下关于人体激素及其调节的叙述不．正确的是A．激素是信息分子，成分都是有机物B．激素直接参与细胞内的许多代谢活动，有利于人体生命活动的正常进行C．激素只作用于相应的靶器官、靶细胞D．神经系统的某些结构也可以释放激素8．神经递质乙酰胆碱与突触后膜的乙酰胆碱受体（AChR）结合，突触后膜兴奋，引起肌肉收缩。

孝感高中2014—2015学年度高二上学期期末考试语文试题命题人：谈静考试时间：150分钟一、语文基础知识（共15分，共5小题，每小题3分）1．下列各组词语中加点的字，注音全都正确的一组是A．信笺．jiān凭．借pín 汗涔涔．．cén 蓦．然回首mò B．惩．罚chéng 埋．怨mán 档．案袋dàng 锲．而不舍qièC．半晌．shǎng 冗．长rǒng 棕榈．树lǚ繁文缛．节rùD．撇．下piē 啮．齿niè 倔．脾气juè 痛入骨髓．suí2．下列词语中，没有错别字的一组是A．赋与料峭瑕不掩瑜偃苗助长B．婉惜天遣因噎废食枯燥无味C．誊写阑珊出其不意插科打诨D．愤懑缭草残羹冷灸骇人听闻3．填入下列文句中横线处的词语，最恰当的一组是①菜籽油含有亚油酸、亚麻酸、花生酸等三种人体的脂肪酸，还有油酸。

②一个城市要繁荣，精神文明和物质文明缺一不可。

失去了物质文明的支撑，精神文明建设就是空谈；精神文明上不去，物质文明建设也是。

③那些见利忘义、损人利己的人，不仅为正人君子所，还可能滑向犯罪的深渊。

A．必须枉然不齿B．必须惘然不耻C．必需惘然不耻D．必需枉然不齿4．下列各句中，没有语病的一项是A．当利益受到侵害时，消费者应该主动拿起法律武器维护自身权益。

否则，一些本来违法违规的“霸王条款”，会被更多人认为是合情合理的。

这不仅有损法律尊严，还会姑息不良商家，不利于营造遵纪守法的社会。

B．《舌尖上的中国》这部风靡海内外的纪录片，用镜头展示烹饪技术，用美味包裹乡愁，给观众带来了心灵的震撼。

C．专家提醒，油梨虽然营养丰富，但是它的表面常常黏附着对人体有害的细菌和农药，所以大家食用前应该洗净削皮比较安全。

D．由于海外华人的努力，中国的春节被很多亚洲国家和欧美城市接受，甚至还把春节作为公共假日写入法规，显示出中国春节越来越浓重的国际化色彩。

孝感高中2014—2015学年度高一上学期期末考试英语试题第一部分：听力（共两节，满分30分）第一节（共5小题；每小题1.5分，满分7.5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，并标在试卷的相应位置。

听完每段对话后，你都有10秒钟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．How much should the man pay for two?A．$22. B．$18. C．$12.2．What is the woman trying to do?A．Ask for advice. B．Make a suggestion. C．Offer to help.3．What is the distance of the beach from here?A．It’s a 40-minute bus ride. B．It’s a two-hour bus ride. C．It’s a 40-minute walk. 4．Where will the woman be working?A．In Lancashire. B．In New Orleans. C．In Sri Lanka.5．What can we learn about the man?A．He rarely works. B．He likes his job. C．He wants more vacation.第二节（共15小题；每小题1.5分，满分22.5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，并标在试卷的相应位置。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各个小题将给出5秒钟的作答时间。

每段对话或独白读两遍。

听第6段材料，回答第6－7题。

6．Where did Mrs. Hill cook?A．At a DIY restaurant. B．At a camp site. C．At home.7．What did the man do lastly?A．Had a picnic. B．Went swimming. C．Did some cooking.听第7段材料，回答第8－9题。

孝感高中2014—2015学年度高二上学期期末考试化学试题李姣娥满分：100分考试用时：90分钟★祝考试顺利★注意事项：1. 本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。

答卷前，考生务必将自己的姓名、考号填写在答题卷上。

2. 可能用到的相对原子质量：H 1 Cu 64 Fe 56第Ⅰ卷（选择题共51分）一、选择题。

（每小题只有一个选项符合题意，每题3分，共51分）1．以下表示氦原子结构的化学用语中，对电子运动状态描述最详尽的是A．：He B．C．D．1s22．下列关于铜电极的叙述中不正确的是A．铜锌原电池中铜是正极B．在镀件上镀铜时用金属铜作阳极C．用电解法精炼粗铜时粗铜作阳极D．用电解法精炼粗铜时纯铜作阳极3．下列电子排布图（每一个小方框表示一个原子轨道）所表示元素的原子中，其能量处于最低状态的是4．以下现象与电化学腐蚀无关的是A．黄铜（铜锌合金）制作的铜锣不易产生铜绿B．银质物品久置表面变暗C．铁质器件附有铜质配件，在接触处易生铁锈D．生铁比纯铁容易生锈5．下列物质是手性分子的是A．CHFClBr B．丙烷C．乙醇D．苯6．根据价层电子对互斥理论及原子的轨道杂化理论判断NF3分子的空间构型和中心原子的杂化方式分别为A．直线形、sp杂化B．三角形、sp2杂化C．三角锥形、sp2杂化D．三角锥形、sp3杂化7．下面是某些元素的最外层电子排布，各组指定的元素，不能形成AB2型化合物的是A．2s22p2和2s22p4 B．3s1和3s23p4C．3s23p4和2s22p4D．3s2和2s22p58．A、B属于短周期中不同主族的元素，A、B原子最外层电子中，成对电子和未成对电子占据的轨道数相等，若A元素的原子序数为a，则B元素的原子序数为A．a-8 B．a-5 C．a+6 D．a+49．下列叙述中不正确的是A．卤化氢分子中，卤素的非金属性越强，共价键的极性也越大，稳定性也越强B．H2O中O-H键之间的键角大于H2S中S-H键之间的键角C．具有极性键且空间构型不对称的A2B或AB2型分子为极性分子D．非极性分子中只存在非极性键10．Co(+3价)的八面体配合物为CoCl m·nNH3，若1mol该配合物与AgNO3作用生成1molAgCl 沉淀，则m、n的值是A．m=1，n=5 B．m=3，n=4 C．m=5，n=1 D．m=4，n=5 11．下列几种氢键：①O-H…O，②N-H…N，③F-H…F，④O-H…N，其强度由强到弱的排列顺序是A．③①④②B．①②③④C．③②①④D．①④③②12．下列化合物的沸点比较，前者低于后者的是A．乙醇和甲醇B．对羟基苯甲醛与邻羟基苯甲醛C．邻羟基苯甲酸与对羟基苯甲酸 D．H2O和H2S13．对如图装置的描述正确的是A．若K与A相接，X为粗铜，Y为精铜，可以精炼铜B．若K与A相接，X为铜，Y为铁，可以在铁上镀铜C．若K与B相接，X为铜，Y为铁，一段时间后Y极质量增加D．若K与B相接，X为铜，Y为铁，一段时间后X极质量增加14．液流电池是一种新的蓄电池，是利用正负极电解液分开，各自循环的一种高性能蓄电池，具有容量高、使用领域（环境）广、循环使用寿命长的特点。

孝感高中2014—2015学年度高一上学期期末考试英语试题命题人：谢惠娟考试时间：120分钟第一部分：听力（共两节，满分30分）第一节（共5小题；每小题1.5分，满分7.5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，并标在试卷的相应位置。

听完每段对话后，你都有10秒钟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．How much should the man pay for two?A．$22. B．$18. C．$12.2．What is the woman trying to do?A．Ask for advice. B．Make a suggestion. C．Offer to help.3．What is the distance of the beach from here?A．It’s a 40-minute bus ride. B．It’s a two-hour bus ride. C．It’s a 40-minute walk.4．Where will the woman be working?A．In Lancashire. B．In New Orleans. C．In Sri Lanka.5．What can we learn about the man?A．He rarely works. B．He likes his job. C．He wants more vacation.第二节（共15小题；每小题1.5分，满分22.5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，并标在试卷的相应位置。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各个小题将给出5秒钟的作答时间。

每段对话或独白读两遍。

听第6段材料，回答第6－7题。

6．Where did Mrs. Hill cook?A．At a DIY restaurant. B．At a camp site. C．At home.7．What did the man do lastly?A．Had a picnic. B．Went swimming. C．Did some cooking.听第7段材料，回答第8－9题。

孝感高中2014—2015学年度高一下学期期末考试英语试题命题人：冯芝考试时间：120分钟分值：150分本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分第Ⅰ卷第一部分听力（共两节，满分30分）做题时，先将答案标在试卷上，录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节（共5小题；每小题1.5分，满分7.5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，并标在试卷的相应位置。

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.Whom does the new car belong to?A. Mike.B. John.C. Jane.2.In what competition did Julie win the first prize?A. Driving.B. Dancing.C. Diving.3.What does the man suggest doing?A. Climbing the hill.B. Going to a cinema.C. Listening to the radio.4.Why did the man change his job?A. He didn’t like his last job.B. He was tired of his last job.C. He prefers to work in a big company.5.Where does the conversation most probably take place?A. At home.B. In a library.C. In a theater.第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话。

每段对话或独白后有几个小题，从题中所给的、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

14-15学年新课标高二上学期期中测试Ⅰ（湖北）Class: Name: Marks: 满分（120）第一部分词汇知识运用(共两节，满分30分)第一节多项选择(共10小题；每小题1分，满分10分)1. Judging from the , such as headache and sore throat, he must have caught flu.A. processesB. challengesC. symptomsD. comments2. What we must learn is that the policeman showed great in the face of danger.A. braveryB. challengeC. conflictD. impression3. My husband is at handling problems of computers, for he majored in Computer Science during his university life.A. cautiousB. optimisticC. expertD. delighted4. When the teacher asked the students a difficult question in class, Mark stood up and gave a(n) answer. The teacher nodded happily.A. absurdB. enthusiasticC. accurateD. complex5. I thought she hurt my feelings rather than by accident as she claimed.A. mildlyB. deliberatelyC. constantlyD. instantly6. If you want to see a film in this grand cinema, you’ll have to a seat in advance.A. reserveB. announceC. instructD. handle7. If you see it as an opportunity to fresh skills, you won’t find the job tiring and boring.A. approveB. attractC. acquireD. assess8. The computer system suddenly while I was searching for information on the Internet.A. broke outB. broke downC. broke upD. broke in9. The film Jurassic Park our understanding of the technology of genes and cloning.A. led toB. attended toC. referred toD. contributed to10. The climate is changeable in this area. You should prepare more clothes the sudden change of weather.A. in charge ofB. in place ofC. in honor ofD. in case of第二节完形填空（共20小题；每小题1分，满分20分）We were the only family with children in the restaurant. I sat Erik in a high chair and 11 everyone quietly sitting or talking. Suddenly, Erik shouted 12 , “Hi.” He patted his fat baby hands on the chair.I looked around and saw a man whose pants were too 13 and his toes 14 out of the shabby shoes. His shirt was dirty and his 15 was rough and unwashed. We were too far from him to smell, but I was sure he smelled. He waved to Erik, “Hi there, baby. I see you.” Everyone in the 16 looked at us and thought the old man was obviously 17 . My husband and I exchanged 18 , “What do we do?” Erik continued to laugh and answer, “Hi.”We finally got through the 19 and headed for the door. As I drew closer to the man, I turned my back 20 to sidestep him and avoid any air he might be 21 . As I did, Erik leaned against my arm, reaching with bot h arms in a baby’s “pick-me-up” 22 . Before I could stop him, Erik had brokenaway from my arms to the man.Suddenly a very old 23 man and a very young baby got together. Erik, in the act of total 24 and love, laid his tiny head upon the ma n’s ragged shoulder. The man’s eyes closed. I saw tears in his eyes. He 25 my baby and stroked his back.He opened his eyes and said in a 26 commanding voice, “Take care of this baby.” Somehow I 27 , “I will,” from a throat that contained a stone. “God bless you, ma’am. You’ve given me my Christmas gift.” I said nothing 28 a muttered “thanks”.I just witnessed real 29 shown through the innocence of a tiny child who saw no sin (罪恶) and made no 30 ; a child who saw a soul, and a mother who saw a suit of clothes.11. A. noticed B. left C. followed D. heard12. A. delightedly B. tearfully C. painfully D. naturally13. A. fashionable B. beautiful C. big D. dark14. A. took B. grew C. made D. stuck15. A. dress B. bag C. hair D. skin16. A. street B. restaurant C. bus D. waiting room17. A. tired B. starved C. welcomed D. drunk18. A. ideas B. looks C. gifts D. seats19. A. passage B. story C. meal D. test20. A. trying B. asking C. going D. helping21. A. feeling B. discovering C. breathing D. experiencing22. A. position B. situation C. condition D. appearance23. A. lovely B. kind C. dangerous D. smelly24. A. worry B. danger C. trust D. innocence25. A. tought B. held C. received D. put26. A. soft B. hard C. high D. firm27. A. refused B. managed C. functioned D. argued28. A. more than B. rather than C. fewer than D. less than29. A. performance B. truth C. love D. life30. A. mistake B. noise C. decision D. judgment第二部分阅读理解(共20小题；每小题2分，满分40分)ASuppose you are thinking about attending college in the United States, but perhaps you might not be ready for a university with a four-year program. About 88,000 international students have found solution. They are attending U.S. community colleges. Such colleges are sometimes called junior colleges. They offer two years of education above the secondary or high school level.Community college students can choose from subjects like medical assistance, computer science or law. At the end of their study program, they receive a document of completion, called a certificate. Some students work toward an associate degree in traditional academic subjects like science or history. After getting it, the students can move on to a four-year college or university. They may have only two years of study left before they receive a bac helor’s degree.Many educational experts agree that saving money is the major reason to consider a community college. The American Association of Community Colleges (AACC) says that a public two-year college costs 3,000 dollar a year on average. That is true if the student lives in the same state as the school. A student at a four-year public college may pay 8,500 dollars a year for classes and user fees. That does not include books and other materials.Some international students may need more preparation in English before entering a community college in the United States. For example, Istrif Montgomery came to the U.S. from Kosovo in 2006. First, he worked to improve his English at Montgomery College for a year. Then for the next two years, he attended classes in basic subjects in a community college.The international students at two-year colleges need to find a place to live. Most community colleges do not provide student housing on their grounds. But Mr Montgomery had a home near by. He was able to ride the bicycle, and he was able to walk if he wanted. In fact, most community college students live within five to ten miles off the college.31. What does the underlined word “it” in Paragraph 2 refer to?A. An associate degree.B. A bachelor’s degree.C. A document of completion.D. A traditional academic subject.32. What’s the biggest advantage of a community college?A. The classes are free of charge.B. The students can save much time.C. The students can save a lot of money.D. It is convenient for students to live in the college.33. Which of the following is TRUE according to the text?A. Mr Montgomery usually goes to school on foot.B. Most students in community colleges don’t l ive far away.C. 8,500 dollars covers all the cost of a four-year public college.D. International students often attend a community college directly.34. What’s the main purpose of the text?A. To encourage students to study abroad.B. To tell the international students how to save money.C. To tell us it’s a good choice to study in public colleges.D. To give some information about community colleges.BWhy do we always want to go faster when talking about travel? We want our cars, trains and planes to get us to places more quickly. This century, there’s been a rise in high-speed rail travel as people have seen the benefits of this form of transport.Spain recently joined the railway revolution with its AVE modern high-speed train that has a top speed of 310 kilometres per hour. Its service from Madrid to Barcelona took 20% of passengers away from Spain’s national airline. In Japan, a magnetic train is being developed that will run at 500 kilometres per hour. Britain has one high-speed line from London to France—HS1, but now it is planning to construct a new line called HS2 which will connect London with the north of England. The UK government’s transport secretary, PatrickMcLoughlin, says it is essential to make sure that the great cities are actually connected and people get the right benefits.The idea of fast train travel may appeal but not if it’s going to be built in your backyard. It’s causing disagreement and people are arguing over the benefits and cost of having shorter journey time and less traffic on the roads. John Kelleher, who is a farmer and lives on the site of the new line says that the government is not taking into consideration the amount that HS2 will destroy on its construction and route through the countryside. Some people are worried the financial and environmental cost will be too high to save just half an hour on a journey.But other countries have shown that high-speed rail is good for the economy. It has helped poorer parts of the country, reduced the need to fly and has mad e train travel cool. For me, there’s nothing better than drinking a cold beer and watching the world go by from the comfort of a train seat. In fact, if it’s that good, what’s the rush? Maybe I will stick with the slow train.35. What can we learn from the second paragraph?A. Patrick McLoughlin is against the construction of HS2.B. The magnetic train in Japan now runs at a speed of 500 k/h.C. The high-speed train in Spain has affected the national airline.D. Britain has built two high-speed lines from London to France.36. What’s mainly talked about in the third paragraph?A. The construction of HS2.B. The popularity of the high-speed rail.C. The development of the high-speed rail.D. The disadvantages of the high-speed rail.37. Which of the following is TRUE according to the text?A. There is no need for people to fly when they travel.B. John Kelleher lives far away from the new line called HS2.C. People in poorer places benefit little from the high-speed rail.D. The author may prefer to choose the slow train while traveling.38. What’s the main topic of the text?A. The railway revolution.B. The means of transport.C. The high-speed rail travel.D. The construction of new lines.CTwo years ago, the modern massive open online course(大规模开放在线课程), or MOOC, came to prominence(出名) when a Stanford computer science professor named Sebastian Thrun made his artificial intelligence course freely available to anyone with an Internet connection — and 150,000 people signed up for it. In addition to traditional course materials such as videos, readings and problem sets, MOOCs provide users with interactive forums(交互式论坛) that help build a community for students, professors and teaching assistants. MOOCs are a recent development in distance education which began to appear in 2012.Now MOOCs are everywhere. Even in faraway developing countries, such as Mongolia, you can find high school students tuning in to courses from American universities, like MIT, Harvard and Berkeley. Coursera, the platform (平台) established by a couple, who are Stanford computer science professors, AndrewNg and Daphne Koller, has more than 400 courses in seven languages from 87 academic partners and some 4.7 million students. EdX, the nonprofit platform established by MIT and Harvard, has 68 courses from 28 academic partners and 1.25 million students. These are just two of the platforms out there.MOOCs began with offering courses in natural science, like math, physics, chemistry and so on. EdX was best known for its introductory computer science courses from Harvard and MIT —but classes now cover everything from finance and law to poetry and music. Through Coursera, you can take “The History of Rock” (University of Rochester) and “How Green Is That Product?”(Northwestern Univ ersity); popular courses on EdX include “Globalization’s Winners and Losers” (Georgetown University) and “Introduction to Philosophy” (MIT).A Mongolian high school student says he is taking a Berkeley class and an MIT course in engineering at the same time. And he plans to apply to Berkeley and MIT this fall. Whether MOOCs will help when it comes to college applications is likely to depend largely on which MOOC a student has completed. (It’s worth noting that many students don’t do the assignments, and onl y 8 percent to 10 percent of those who sign up actually make it to the last MOOC class.) But Stuart Schmill, the admissions officer at MIT, says that for the first time this year the school’s application form includes space for students to list the MOOCs that they’ve taken.39. How is the second paragraph mainly developed?A. By listing numbers.B. By explaining causes.C. By making comparisons.D. By following the time order.40. The author lists some courses in Paragraph 3 to show .A. MOOCs enjoy great popularityB. MOOCs focus on natural scienceC. MOOCs cover a wide range of subjectsD. MOOCs are established by famous universities41. What Stuart Schmill says in the last paragraph implies that .A. applying to college will become easierB. MOOCs will play a part in college applicationsC. MOOCs will replace traditional courses in the futureD. students must take some MOOCs before their applications42. What do we know about MOOCs?A. There are two platforms at present.B. No high school students take MOOCs.C. Not many people can finish the MOOCs that they have taken.D. Most of the MOOCs are taken by American students now.DA phobia (恐怖症) is a strong fear of something that, in reality, presents little or no danger. Most phobias develop in childhood, but they can also develop in adults. The word phobia comes from the Greek language. It means “to fear”.Some phobias are common. The fear of spiders is arachnophobia. The fear of small spaces is called claustrophobia. And the fear of heights is acrophobia.But there are also uncommon phobias. Somniphobia is the fear of falling asleep. And papaphobia is a fear of the leader of the Roman Catholic Church, the Pope. The list of phobias goes on and on.Having a phobia is not a laughing matter. Phobias often create problems in a person’s life. One common phobia that can create problems and hold people back especially at school and at work is the fear of public speaking or glossophobia. “Glossa” is Greek for “tongue”. A student with gloss ophobia may be afraid to speak up in class. At work, a person with this phobia may not speak up in meetings.Whether it is a phobia or a real danger, our bodies react to fear. And we often use physical expressions to describe ourselves when we are afraid. I was so scared that “my blood ran cold” or “I broke out into a cold sweat”.If a book or movie is scary, we often call it “spine-tingling” or “hair-raising”. If something scares us, we can say it “made our hair stand on end” or that it had us “shaking in our shoes”. All these expressions describe what happens to a person’s body when they are afraid.The U.S. president Franklin Delano Roosevelt famously said in his inaugural speech (就职演说) that “the only thing we have to fear is fear itself”. That is a nice idea. But try telling that to a person who is “afraid of their own shadow”.43. Which of the following can most properly describe “phobia”?A. There are no waves without wind.B. Fear is often greater than the danger.C. Fear is everywhere around the world.D. There’s danger where you think it exists.44. The author thinks that having a phobia is something .A. not really scaryB. not so serious at allC. we must take seriouslyD. that is often laughed at45. When you see something horrible you’ll “shake in your shoes”; it is .A. a physical expressionB. a natural reactionC. a sign of a big dangerD. a mental expression46. Roosevelt’s words tend to indicate that .A. only your shadow is fearfulB. there are very few scary thingsC. there is no danger existing at allD. the fear maker is usually yourselfEWhat were you doing before you started reading this? Were you fully focused on another article? Or were you staring out of the window, feeling restless and bored?It is likely to have been the latter. Brief moments of boredom are universal, and are frequently what drive us to stop what we are doing and move to something that we hope will be more exciting.Although boredom is common, it is neither worthless nor favorable, according to Dr. John Eastwood, a psychologist from York University, Toronto. Eastwood is the author of The Unengaged Mind, a new book on the theory of boredom. Boredom, he points out in the book, has been linked with overeating, depression, anxiety and an increased risk of making mistakes. Mistakes at work might not be a matter of life and death formost of us, but if you are an air traffic controller, pilot or nuclear power plant operator, they most certainly can be.Former pilot Sami Franks talks about his experience when he worked for an international airliner. “When you fly a lengthy distance, there are two pilots, one of whom is monitoring all the screens while the other does the paperwork, talks to air traffic control and so on. You need to be alert (警觉) for landing and takeoff, and once you’re 500 ft above the ground, the plane is on autopilot (自动驾驶仪) and it can be very quiet and boring. Some pilots may take a nap (打盹) during this period. Unfortunately, many of them admit seeing the other pilot asleep too when they wake up after the short sleep,” says Franks.However, Dr. Esther, a senior lecturer in education at the University of East Anglia, has studied boredom and says it can be seen in a positive light. “We can’t prevent boredom —it’s an ineluctable human emotion. We have to accept it and find ways to control it. We all need downtime. There’s no need to be fully occupied with (忙于) work at all times,” she says.Children who complain that they have nothing to do on rainy holidays may try to find other things to focus on. Artist Grayson Perry has reportedly spoken of how long periods of boredom in childhood may have developed his creativity.“We all need spare time to think things over,” says Dr. Esther.47. What Sami Franks says suggests that .A. pilots should take turns to sleep when they are workingB. pilots must work together when flyingC. boredom can make pilots distract attentionD. flying a plane is actually not quite fun48. The underlined word “ineluctable” in Paragraph 5 is closest in meaning to “”.A. interestingB. powerfulC. unnecessaryD. unavoidable49. What might be Grayson Perry’s opinion on boredom?A. It often leads to failure.B. It also has a beneficial effect.C. It is more likely to happen to children.D. It makes children lose interest in learning.50. What is the best title for the text?A. Why am I so bored?B. Is boredom bad for you?C. Can I have your attention?D. How can I get rid of boredom?第三部分书面表达(共两节，满分50分)第一节完成句子（共10小题；每小题2分，满分20分）阅读下列各小题，根据汉语提示，用句末括号内的英语单词完成句子。

孝感高中2014—2015学年度高二上学期期末考试数学（文科）试题命题人：柴全中 考试时间：120分钟一、选择题（本大题共10小题，每小题5分，共50分，在每个小题给出的四个选项中，只有一项是符合题目要求的）1． 先后抛掷一枚硬币三次，则至少一次正面朝上的概率是A ．81B ．83 C ．85 D ．87 2． “q p ∨是假命题”是“p ⌝为真命题”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3．与椭圆1121622=+y x 共焦点, 离心率互为倒数的双曲线方程是A ．1322=-y x B ．1322=-y x C ．1834322=-y x D ．1834322=-x y4． 在某次选拔比赛中, 六位评委为B A ,两位选手打出分数的茎叶图如图所示(其中x 为数字0～9中的一个), 分别去掉一个最高分和一个最低分, B A ,两位选手得分的平均数分别为b a ,, 则一定有A ．b a >B ．b a <C ．b a =D ．b a ,的大小关系不能确定5． 若曲线b ax x y ++=2在点(0, b )处的切线方程是01=+-y x , 则A ．1,1==b aB ．1,1=-=b aC ．1,1-==b aD ．1,1-=-=b a6． 某射手的一次射击中, 射中10环、9环、8环的概率分别为0.2、0.3、0.1, 则此射手在一次射击中成绩不超过8环的概率为A ．9.0B ．6.0C ．5.0D ．3.07． 某调查机构对本市小学生课业负担情况进行了调查，设平均每人每天做作业的时间为x 分钟.有1000名小学生参加了此项调查，调查所得数据用程序框图处理，若输出的结果是680，则平均每天做作业的时间在0～60分钟内的学生的频率是 A ．680 B ．320C ．0.68D ．0.328． 过原点且倾斜角为o 60的直线被圆0422=-+y y x 所截得的弦长为A ．3B ．2C ．6D ．329． 已知21,F F 是椭圆的两个焦点, 过1F 且与椭圆长轴垂直的直线交椭圆于B A ,两点, 若△2ABF 是正三角形, 则这个椭圆的离心率为A ．22B ．32 C ．33 D ．23 10．设函数)(x f 是定义在R 上的偶函数, '()f x 为其导函数. 当0>x 时,0)(')(>⋅+x f x x f , 且0)1(=f , 则不等式0)(>⋅x f x 的解集为A ．)1,0()0,1(⋃-B ．),1()0,1(+∞⋃-C ．),1()1,(+∞⋃--∞D ．)1,0()1,(⋃--∞二、填空题（本大题共7个小题，每小题5分，共35分．请将答案填在答题卡对应题号的位置上,答错位置，书写不清，模棱两可均不得分）11．命题1sin ,:≤∈∀x R x p 的否定p ⌝是 .12．已知3()2=+-f x x ax 在),1(+∞上是增函数, 则实数a 的取值范围是 .13．已知抛物线px y 22=的焦点与椭圆12622=+y x 的右焦点重合, 则p 的值为 . 14．某市为了创建国家级文明城市, 采用系统抽样的方法从960人中抽取32人做问卷调查,为此将他们随机编号为1,2,……,960, 分组后在第一组采用简单随机抽样的方法抽到的号码为9, 抽到的32人中, 编号落入区间[1,450]的人做问卷A, 编号落入区间[451,750]的人做问卷B, 其余的人做问卷C. 则抽到的人中, 做问卷B 的人数为 .15．为鼓励中青年教师参加篮球运动, 校工会组织了100名中青年教师进行投篮活动, 每人投10次, 投中情况绘成频率分布直方图(如图), 则这100 名教师投中6至8个球的人数为 .16．一个车间为了规定工作定额, 需要确定加工零件所花费的时间, 为此进行了5次试验, 收集数据如下:由表中数据, 求得线性回归方程a x yˆ65.0ˆ+=, 根据回归方程, 预测加工70个零件所花费的时间为 分钟.17．已知函数)(x f 的自变量取值区间为A , 若其值域也为A , 则称区间A 为)(x f 的保值区间. 若函数x m x x g ln )(-+=的保值区间是),21[+∞, 则m 的值为 .三、解答题（本大题共5小题，共65分．解答应写出文字说明、证明过程或演算步骤） 18．（12分）已知直线062:1=++y ax l 和01)1(:22=-+-+a y a x l .（1）若21l l ⊥, 求实数a 的值; （2）若21//l l , 求实数a 的值. 19．（12分）已知命题,0],2,1[:2”“≥-∈∀a x x p 命题,022,:0200”“=+++∈∃a ax x R x q若命题“q p 或”是真命题, 求实数a 的取值范围.20．（13分）设有关x 的一元二次方程046922=+-+b ax x .（1）若a 是从1,2,3这三个数中任取的一个数, b 是从0,1,2这三个数中任取的一个数,求上述方程有实根的概率;（2）若a 是从区间[0, 3]中任取的一个数, b 是从区间[0, 2]中任取的一个数, 求上述方程有实根的概率.21．（14分）已知函数5)(23+++=bx ax x x f , 记)(x f 的导函数为)('x f .（1）若曲线)(x f y =在点))1(,1(f 处切线的斜率为3,且)(x f 在32=x 处取得极值，求函数)(x f 的解析式;（2）在(1)的条件下, 求函数)(x f 在]1,4[-上的最大值和最小值.22．（14分）如图, 椭圆)0(1:2222>>=+b a by a x C 经过点)23,1(P , 离心率21=e , 直线l的方程为4=x . （1）求椭圆C 的方程;（2）AB 是经过右焦点F 的任一弦(不经过点P ), 设直线AB 与直线l 相交于点M , 记PA 、PB 、PM 的斜率分别为1k 、2k 、3k . 问: 是否存在常数λ, 使得321k k k λ=+? 若存在, 求λ的值; 若不存在, 请说明理由.孝感高中2014—2015学年度高二上学期期末考试数学（文科）试题答案11. 00,sin 1∃∈>x R x 12. ),3[+∞- 13. 4 14. 1015. 3016. 10217.21-三、解答题（本大题共5小题，共65分．解答应写出文字说明、证明过程或演算步骤） 18. （12分）已知直线062:1=++y ax l 和01)1(:22=-+-+a y a x l . (1) 若21l l ⊥, 求实数a 的值;(2) 若21//l l , 求实数a 的值.解: (1) 若21l l ⊥, 则.320)1(21=⇒=-+⨯a a a ................6分(2) 若21//l l , 则(1)1201 2.a a a ⋅--⨯=⇒=-或.....................10分经检验, 2a =时, 1l 与2l 重合. 1-=a 时, 符合条件.∴ .1-=a ....................................................12分19. （12分）已知命题,0],2,1[:2”“≥-∈∀a x x p命题,022,:0200”“=+++∈∃a ax x R x q若命题“q p 或”是真命题, 求实数a 的取值范围.解: .1)(min 2=≤⇔x a p ……………………………………………………3分.210)2(442≥-≤⇔≥+-=∆⇔a a a a q 或……………………………6分∵“p 或q ”为真命题，∴p 、q 中至少有一个真命题………………………8分 即1≤a 或1 2.≤-≥或a a ………………………………………………………10分1⇒≤a 或 2.≥a∴“q p 或”是真命题时, 实数a 的取值范围是).,2[]1,(+∞⋃-∞………12分20. （13分）设有关x 的一元二次方程046922=+-+b ax x .(1) 若a 是从1,2,3这三个数中任取的一个数, b 是从0,1,2这三个数中任取的一个数, 求上述方程有实根的概率;(2) 若a 是从区间[0, 3]中任取的一个数, b 是从区间[0, 2]中任取的一个数, 求上述方程有实根的概率.解: (1) 由题意, 知基本事件共有9个, 可用有序实数对表示为(1, 0), (1, 1), (1, 2), (2, 0), (2, 1), (2, 2), (3, 0), (3, 1), (3, 2),其中第一个表示a 的取值, 第二个表示b 的取值......................................2分 由方程046922=+-+b ax x 的40)4(36362222≥+⇒≥+--=∆b a b a ..........................4分∴方程046922=+-+b ax x 有实根包含7个基本事件, 即(1, 2), (2, 0), (2, 1), (2, 2), (3, 0),(3, 1), (3, 2).∴此时方程046922=+-+b ax x 有实根的概率为.97.................6分(2) b a ,的取值所构成的区域如图所示, 其中.20,30≤≤≤≤b a ........8分∴构成“方程046922=+-+b ax x 有实根”这一事件的区域为{}20,30,4|),(22≤≤≤≤≥+b a b ab a (图中阴影部分).∴此时所求概率为.6132241322ππ-=⨯⨯⨯-⨯....................13分 21.（14分）已知函数5)(23+++=bx ax x x f , 记)(x f 的导函数为)('x f . (1) 若曲线)(x f y =在点))1(,1(f 处切线的斜率为3,且)(x f 在32=x 处取得极值，求函数)(x f 的解析式;(2) 在(1)的条件下, 求函数)(x f 在]1,4[-上的最大值和最小值.解: (1) .23)('2b ax x x f ++=………………………………….…………….1分 依题意, ,0)32(',3)1('==f f ……………………………….……………….3分即⎪⎩⎪⎨⎧=++⨯=++034)32(33232b a b a , 解得⎩⎨⎧-==.42b a ………………………………..….5分 .542)(23+-+=∴x x x x f ………………………………………………..….6分(2) 由(1)知, ).32)(2(3443)('2-+=-+=x x x x x f ……………….…..….7分 令0)('=x f , 得.32,221=-=x x ……………………………………………9分 当x 变化时, )('),(x f x f 的变化情况如下表:)(x f ∴在]1,4[-上的最大值为13, 最小值为-11. …………………………14分22. 如图, 椭圆)0(1:2222>>=+b a by a x C 经过点)23,1(P , 离心率21=e , 直线l 的方程为4=x .(1) 求椭圆C 的方程;(2) AB 是经过右焦点F 的任一弦(不经过点P ), 设直线AB 与直线l 相交于点M , 记PA 、PB 、PM 的斜率分别为1k 、2k 、3k . 问: 是否存在常数λ, 使得321k k k λ=+? 若存在, 求λ的值; 若不存在, 请说明理由.解: (1) 由)23,1(P 在椭圆上, 得,149122=+b a ……………①. 又,21==a c e 得,3,42222cbc a ==……………………..② 由①②, 得.3,4,1222===b a c故椭圆C 的方程为.13422=+y x ………………………………………………5分(2) 设直线AB 的方程为),(),,(),1(2211y x B y x A x k y -=,由.01248)34(.134)1(222222=-+-+⇒⎪⎩⎪⎨⎧=+-=k x k x k y x x k y 34124,34822212221+-=+=+∴k k x x k k x x …………………………7分123)1(123)1(1223123221121121---+---=--+--=+∴x x k x x k x y x y k k 1)(2232)1111(23221212121++--+⋅-=-+--=x x x x x x k x x k.121348341242348232222222-=++-+--+⋅-=k k kk k k k k ………………………………10分又将4=x 代入)1(-=x k y 得),3,4(k M2132333-=-=∴k k k ,……………………………………………,,…………12分.2321k k k =+∴故存在常数2=λ符合题意. ……………………………………………………14分。

孝感高中2014—2015学年度高二下学期期末考试数学试题（理科）陈文科 考试时间：120分钟 分值：150分一、选择题（本大题共12小题，每小题5分，共60分. 在每小题给出的四个选项中，只有一项是符合的）1．复数2015i （i 为虚数单位）的共轭复数．．．．是( ) A ．1 B ．1- C ．i D ．i -2．已知集合(){},103log 22-+==x x y x A {}52≤≤-=x x B 则()R C A B 等于( )A ．{}|22x x -≤≤ B ．{}|52x x -≤≤- C ．{}|25x x -≤≤D ．{}|55x x -≤≤3．下列命题中错误．．的是（ ） A ．,(3)(7)(4)(6)x R x x x x ∀∈++≤++B ．,235x R x x ∃∈-++=C ．,x R ∀∈若,a b ≥则22ax bx ≥D．22x R ∃∈=4．一个几何体的三视图如图所示，则这个几何体的体积是( )A ．1B ．2C ．3D ．45．已知0,0x y >>，且23x y +=，则2y x+的最小值是（ ）A ．1B ．83C． D ．3 6．已知随机变量),,0(~2σξN 若,023.0)3(=>ξP 则=≤≤-)33(ξP （ ） A ．0.477 B ．0.628 C ．0.954 D ．0.9777．函数xxy ln =的图象大致为（ ）正视图侧视图A ．B ．C ．D ． 8．10(1)x -的展开式中3x 的系数为 ( )A ．120-B ．120C ．45-D ．459．第29届北京奥运会上，中国健儿取得了51金、21银、28铜的好成绩，位居金牌榜榜首，由此许多人认为中国进入了世界体育强国之列，也有许多人持反对意见，有网友为此进行了调查，在参加调查的2548名男性中有1560名持反对意见，2452名女性中有1200名持反对意见，在运用这些数据说明性别对判断“中国进入了世界体育强国之列”是否有关系时，用什么方法最有说服力 ( )A ．平均数与方差B ．回归直线方程C ．独立性检验D ．概率 10．正四棱锥S ABCD -底面边长为2，高为1，E 是边BC 的中点，动点P 在四棱锥表面上运动，并且总保持0PE AC ⋅=，则动点P 的轨迹的周长是 ( ) A ．21+ B ．32+ C ．22 D ．3211．双曲线()0,012222>>=-b a by a x 与抛物线22(0)y px p =>相交于,A B 两点，公共弦AB恰好过它们的公共焦点F ，则双曲线C 的离心率为( )A B ．1+ C ． D ．2+12．已知函数3221()(1),(,0)3f x x x m x x R m =-++-∈>，若()f x 有三个互不相同的零点120,,x x ，且12x x <，若对任意[]12,,()(1)x x x f x f ∈>成立，则实数m 的取值范围是（ ）A ．12⎛ ⎝⎭B ．⎛ ⎝⎭C ．1,12⎛⎫ ⎪⎝⎭D ．⎫⎪⎪⎝⎭ 二、填空题（本大题共4小题，每小题5分，共20分. 把答案填在题中横线上）13．在正方体1111D C B A A B C D -中，,E F 分别是线段111,C D A B上的点且111113C E A F A B ==,则直线BE 与DF 所成角的余弦值是 .14．某年孝感高中校园歌手大赛后，甲、乙、丙、丁四名同学猜测他们之中谁能获奖.甲说：“如果我能获奖，那么乙也能获奖.”乙说：“如果我能获奖，那么丙也能获奖.” 丙说：“如果丁没获奖，那么我也不能获奖.”实际上，他们之中只有一个人没有获奖，并且甲、乙、丙说的话都是真的.那么没能获奖的同学是_____________. 15． 如图所示，直线kx y =分抛物线2y x x =-与x 轴所围成图形为面积相等的两部分，则实数k 的值为 .16．如果对任意一个三角形，只要它的三边,,a b c 都在函数()f x 的定义域内，就有(),(),()f a f b f c 也是某个三角形的三边长，则称()f x 为“和美型函数”.现有下列函数：①()f x =；②()sin ,(0,)g x x x π=∈；③()2xx ϕ=； ④()ln ,[2,)h x x x =∈+∞.其中是“和美型函数”的函数序号为 . （写出所有正确的序号）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）已知01:2=++mx x p 有两个不相等．．．的负实数．．．根，:q 方程24(42)10x m x +-+=无实数根. （Ⅰ）若p 为真，求实数m 的取值范围;（Ⅱ）若p 或q 为真，p 且q 为假，求实数m 的取值范围.18．（本小题满分12分）三棱锥被平行于底面ABC 的平面所截得的几何体如图所示，截面为111A B C ，90BAC ∠=，1A A ^平面ABC，1A A =AB =2AC =，111AC =，12BD DC =． （Ⅰ）证明：BC ⊥平面1A AD ； （Ⅱ）求二面角1A CC B --的余弦值．19．（本小题满分12分）某地区因干旱缺水，政府向市民宣传节约用水，并进行广泛动员. 三个月后，统计部门在一个小区随机抽取了100户家庭，分别调查了他们在政府动员前后三个月的月平均用水量（单位：吨），将所得数据分组，画出频率分布直方图(如图所示).A 1 A C 1B 1BDC（Ⅰ）已知该小区共有居民10000户，在政府进行节水动员前平均每月用水量是8.96×104吨，请估计该小区在政府动员后比动员前平均每月节约用水多少吨.（Ⅱ）为了解动员前后市民的节水情况，媒体计划在上述家庭中，从政府动员前月均用水量在[)16,12范围内的家庭中选出5户作为采访对象，其中在[)16,14内的抽到x户，求x的分布列和期望.20. （本小题满分12分）如图所示，已知椭圆E：12222=+byax)0(>>ba的长轴长是短轴长的两倍，且过点()2,1C，点C关于原点O的对称点为点D.（Ⅰ）求椭圆E的方程；（Ⅱ）点P在椭圆E上，直线CP和DP的斜率都存在且不为0，试问直线CP和DP的斜率之积是否为定值？若是，求此定值；若不是，请说明理由；（Ⅲ）平行于CD的直线l交椭圆E于M N、两点，求CMN∆的面积的最大值，并求此时直线l的方程.21. （本小题满分12分）已知函数xxgacxbaxxf ln)(),0()(=>++=，其中函数)(xf的图象在点())1(,1f处的切线方程为1-=xy.（Ⅰ）若1=a，求函数)(xf的解析式；（Ⅱ）若)()(xgxf≥在[)+∞,1上恒成立，求实数a的取值范围；x（Ⅲ）证明：)1(2)1ln(131211+++>++++n nn n )1(≥n .请考生在第22、23、24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）如图所示，已知半圆的直径cm AB 6=，CD 是半圆上长为cm 2的弦，问：当弦CD 在半圆上滑动时，AC 和BD 延长线的夹角是定值吗？若是，试求出这个定角的正弦值；若不是，请说明理由．23．（本小题满分10分）在直角坐标系xOy 中，曲线C 的参数方程为2(1x tt y t =+⎧⎨=+⎩为参数），以该直角坐标系的原点为极点，x 轴的正半轴为极轴的极坐标系下，曲线P 的方程为24cos 30ρρθ-+=.（Ⅰ）求曲线C 和曲线P 的普坐标方程； （Ⅱ）设曲线C 和曲线P 的交点为A 、B ，求AB .24．（本小题满分10分）设函数()15f x x x =++-.（Ⅰ）解关于x 的不等式()10f x ≥； （Ⅱ）若()42f x t≥+对任意的实数x 恒成立，求实数t 的取值范围.孝感高中2014—2015学年度高二下学期期末考试数学试题（理科）参考答案一．选择题1~5 CADDB 6~10 CDACB 11~12 BA 二．填空题13. 11914. 甲 15.1- 16. ①④ 三．解答题17. 解：（Ⅰ）由题意知：⎩⎨⎧<->-=∆042m m 2>∴m（Ⅱ）若q 为真，()016242<--=∆m 2321<<-∴m p 或q 为真，p 且q 为假∴q p ,必为一真一假①当p 为真q 为假时，⎪⎩⎪⎨⎧≥-≤>23212m m m 或 2>∴m ②当p 为假q 为真时，⎪⎩⎪⎨⎧<<-≤23212m m 2321<<-∴m综上可知：()+∞⋃⎪⎭⎫⎝⎛-∈,223,21m 18. （Ⅰ）以AB 、AC 、AA 1分别为x 轴、y 轴、z 轴建立空间直角坐标系则11(000)0)(020)(00A B C A C ，，，，，，，，，，:1:2BD DC =，13BD BC \=． D \点坐标为2033÷ç÷ç÷ç÷ç桫，，．\22033AD 骣÷ç÷=ç÷ç÷ç桫，，，1(220)(00BC AA =-=，，，．10BC AA =，0BC AD =，1BC AA \^，BC AD ^，又1A A AD A =，BC \^平面1A AD（Ⅱ）BA ^平面11ACC A ，取(20)AB ==，m 为平面11ACC A 的法向量，设平面11BCC B 的法向量为()l m n =，，n ，则100BC CC ==，n n ．200m m ìï-+=ï\íï-+=ïî，，l n \==，，如图，可取1m =，则=n ，22010cos (2)?<>==+，m n 19.（Ⅰ）根据直方图估计该小区在政府动员后平均每户居民的月均用水量为 (1×0.015+3×0.030+5×0.105+7×0.200+9×0.120+11×0.030)×2=6.88(吨). 于是可估计该小区在政府动员后比动员前平均每月可节约用水: 8.96×104-6.88×104=2.08×104(吨).（Ⅱ）由动员前的直方图计算得月平均用水量在[12,14)范围内的家庭有6户,在[14,16)范围内的有3户,因此X 的可能取值有0,1,2,3,211)0(5956===C C x P ,145)1(594613===C C C x P ,2110)2(593623===C C C x P ,425)3(592633===C C C x P 所以X 的分布列为所以34232121412110)(=⨯+⨯+⨯+⨯=X E 20. （Ⅰ）.2,222b a b a =∴⨯= 椭圆E 过点C ()1,2，∴22,2,1142222==∴=+a b b b ， ∴椭圆E 的方程为12822=+y x 。