高二(上)2015年12月月考试卷
2015-2016学年高二上学期12月月考数学试卷(文)
12月月考高二数学（文科）试卷注意事项：1．答题前填写好自己的姓名、班级、考号等信息2．请将答案正确填写在答题卡上一、选择题（每题5分，共60分）1．下面哪些变量是相关关系（）A．出租车费与行驶的里程 B．房屋面积与房屋价格C．身高与体重 D．铁的大小与质量2．在如图所示的“茎叶图”表示的数据中，众数和中位数分别（）。
A．23与26 B．31与26C．24与30 D．26与303．某校有行政人员、教学人员和教辅人员共200人，其中教学人员与教辅人员的比为10 1，行政人员有24人，现采取分层抽样容量为50的样本，那么行政人员应抽取的人数为（）A．3 B．4 C．6 D．84（A（B（C（D5．三棱锥SABC及其三视图中的正视图和侧视图如图所示，则棱SB的长为（）A．6．执行下图中的程序，如果输出的结果是4，那么输入的只可能是（）A ．4-B ．．2或－4 7．执行如图所示的程序框图，若输入）A ．49 B ．67 C 8．将两个数2010,2011a b ==9．下列给出的赋值语句中正确的是（ ）A ．4＝M B ．B ＝A ＝3 C ．x ＋y ＝0 D ．M ＝－M 10．已知如下算法:步骤1:2:步骤3:4）11）AC12AB的中点，则直线AB的方程是（）AC二、填空题（每题5分，共20分）13．某班有学生48人，现用系统抽样的方法，抽取一个容量为6的样本，已知座位号分别为6，14，30，38，46的同学都在样本中，那么样本中另一位同学的座位号应该是 ． 14．已知样本9，10，11，x ，y 的平均数是10，方差是2，则xy= ． 15．在区间[0，2]上随机地取一个数x ，则事件“-1发生的概率为16．如图所示程序执行后输出的结果是___________三、解答题（17题10分，其他12分）17．有7通晓韩语，从中选出通晓日语、俄语和韩语的志愿者各1名，组成一个小组． （1（5分）；（2（5分） 18．某种产品的广告费支出（1）求线性回归方程；（219．铁路部门托运行李的收费方法如下：y 是收费额(单位：元),x 是行李重量(单位：㎏),,按0.35/㎏收费,时,20㎏的部分按0.35元/㎏,超出20㎏的部分,则按0.65元/㎏收费.⑴请根据上述收费方法求出Y关于X的函数式；⑵画出流程图并写出程序。
高二上学期英语12月考试卷
高二英语(共两卷，分值120分；时间120分)I. 听力（共两节，满分20分。
）听下列五段材料，回答1至5题1. Where did they go for their holiday?A. They stayed at home.B. They went to New York.C. They went to Australia.2. How much does one chair cost if you buy a pair?A. thirty-five yuanB. seventy yuanC. forty yuan3. What do you know about the bus?A. It’s very small.B. It’s an old bus.C. There are many passengers on it.4. Why didn’t Bob take off wet clothes at once?A. Because he wanted to talk to his mother.B. Because he had no dry clothes.C. Because his mother didn’t let him take them off.5. What is the man going to do?A. He will lend some ink to the woman.B. He will borrow some ink from his friend.C. He will buy some ink for the woman.听第6段材料，回答6至7题6. What will there be on Sunday?A. A birthday partyB. A sports meetingC. A concert7. Why can’t Sherry go to the concert?A. She will do her homework.B. She has to see a doctor.C. She has to look after her sister.听第7段材料，回答8至9题8. How much did the woman want to spend on the present?A. ten dollarsB. thirty dollarsC. twenty dollars9. What present did the woman choose at last?A. a pen and pencil setB. a CDC. a pair of skating shoes听第8段材料，回答10至12题10. Who wanted to call whom?A. Peter wanted to call Mrs Thomas.B. Mrs Thomas wanted to call Peter.C. Mrs Thomas wanted to call Mr. Brown.11. What was the caller’s phone number?12. When did the caller want to be called back?A. The same evening.B. the same morningC. at eleven o’clock听第9段材料，回答13至16题13. What does the woman want to collect here?A. a pair of glovesB. a red furC. a black coat14. What material is the coat made of?A. It is a fur coat.B. It is a woolen coat.C. It is a cotton coat.15. Why can’t the woman see her coat among all the coats?A. Because they look the same to her.B. Because it isn’t among them.C. Because she can see nothing.16. Which of the following may be true according to the dialogue?A. The woman left with a wrong coat.B. The woman left happily with her coat.C. The woman had to go without anything.听第10段材料，回答17至20题17. How many bells do students hear every day?A. about twelveB. about twentyC. about thirty18. What is the tardy bell?A. The bell for the first class.B. The bell for lunch.C. The bell for a break.19.What class are the students happy to have?A. A difficult class.B. An interesting class.C. The class before lunch.20. Why do most students like the lunch bell best?A. They can have a lot to eat.B. They can open their big paper bags.C. They can join their friends for lunch.II单项选择(共15小题，每小题1分，满分15分)21. His suggestion ___ the meeting ____ was turned down.A. that; be put offB. whether; would be put offC. which; be put offD. that; put off22. The doctor ___, the worried mother became calm.A. had been sent forB. had been askedC. having been sent forD. calling in23. _____________________today, he would get there by Saturday.A. If he leavesB. Was he leavingC. Would he leaveD. Were he to leave24. Mr. Smith, ___ of the ___ speech, started to read the novel.A. tired; boringB. tiring; boredC. tired; boredD. tiring; boring25. After staying in hospital for long, the patient was advised to go to the seasideto _____ his health.A. take upB. pick upC. carry upD. make up26 Martin Luther King demanded that black people _____ with respect in the sameway as other people.A. be treatedB. treatedC. were treatedD. should treat27. Nobody knows exactly how many years it will be_______ the Chinese footballteam enters the final stage of the World Cup．A．when B．for C．before D．until28. Her failure in the college entrance exam __________ her the opportunity to go to university.A. spentB. tookC. costD. paid29. You ‘ll be easily to be _______ by the company if you are expert at computerand you can drive a car as well.A. taken toB. taken outC. taken upD. taken on30. It is because he __________ science that I _________ what he says.A. believes in; believeB. believes; believe inC. believes; believeD. believes in; believe in31. －What have you been doing? I asked you a question. Why didn’t you answer?－Sorry, I _________to the news on the radio.A. was listeningB. have listenedC. listenedD. had listened32. We have every reason to believe that____2010 World Expo in Shanghai willbe_____ success.A. /; aB. the; /C. the; aD. a; a33. The law requires that everyone _______ his car checked at least once a year.A. hasB. hadC. haveD. must have34. We were in ________ when we left that we forgot the airline tickets.A. a rush so anxiousB. a such anxious rushC. so an anxious rushD. such an anxious rush35. He is a strict but kind teacher, ____is always trying to make his classes _____and interesting.A. one; livingB. one who ; livelyC. he; lovelyD. he who; liveⅢ．完形填空(共20小题，每小题1分，满分20分)Years ago，if a teenager had some problems in his life，he might go home and write in his diary; now, a teenager with 36 problems might go onto the Internet and write about them in a blog （博客）. In many ways, a diary and a blog are very 37 ; But what make bolgging different from writing in a(n) 38 diary?The biggest difference is that a blog is much more 39 than a diary. Usually，a teenager treats his diary like a book full of 40 that he does not want to 41 with others.It’s interesting that someone who writes in a blog 42 a diary will probably write nearly the same information.I have a little sister, and sometimes I go online to read her 43 . She writes about things like waking up early for swimming practice and not studying enough for her chemistry test.44 I was her age, I wrote about the same thing, but 45 inmy dairy. Then, after I had finished writing, I would hide my diary in a secret place because I was 46 that my sister might read it.The biggest 47 with blogging is that anyone can read what you write. If I was angry with a friend during high school and wrote something 48 about him in my diary, he would never know. 49 , if my sister ever wrote something bad about a friend, that friend might 50 her blog and get angry.There are also 51 to blogging, of course. If I was feeling sad one day and wrote in my diary, ”Nobody cares about me”. because no one would 52 about it. However, if my sister wrote the same sentence in her blog, her best friend would quickly 53 and tell her how much they 54 her. Blog help people 55 in contact with their friend and know what the people around them are doing.36. A. the same B. interesting C. difficult D. daily37. A. simple B. special C. similar D. different38. A. personal B. ordinary C. meaningful D. traditional39. A. attractive B. public C. exciting D. quick40. A. thoughts B. puzzles C. ideas D. secrets41. A. tell B. share C. publish D. solve42. A. instead of B. as well as C. except for D. besides43. A. blog B. diary C. report D. web44. A. Although B. Since C. When D. Because45. A. only B. already C. still D. never46. A. angry B. sad C. glad D. worried47. A. problem B. doubt C. question D. mistake48. A. boring B. wrong C. humorous D. unpleasant49. A. So B. However C. Therefore D. Then50. A. steal B. break C. write D. read51. A. reasons B. wishes C. shortcomings D. advantages52. A. care B. know C. think D. ask53. A. prepare B. begin C. respond D. feel54. A. 1ike B. miss C. need D. stand55. A. 1ose B. stay C. 1eave D. findⅣ．阅读理解（共20小题，每小题1.5分，满分30分）ANot being able to fall asleep or stay asleep is not a disorder in itself but a sign of some other problems, often a physical one.If you have trouble sleeping, the American Sleep Disorders Association suggests that, for a week or two, you put down the time you go to bed, get up, exercise, and drink coffee, tea or wine. The purpose is to find the habits that may affect your sleep.Then:a．Don’t drink coffee in the six hours before going to bed.b．Stop smoking and drinking at bedtime.c．Don’t sleep during the day.d．Go to bed at the same time every night. Set your alarm clock for the same time every morning and get up at that time, whether or not you sleep well.e．Use the bedroom only for sleep. Read, watch TV, eat and talk elsewhere.f．Take sleeping pills according to your doctor’s directions and don’t take them for longer than three weeks at a time.g．If you haven’s fallen asleep within 15 minutes of going to bed, don’t turn over worrying about it. Get up and read or watch TV until you are sleepy, then return to bed.If you continue to have trouble sleeping, ask your doctor for help or go to a sleep – disorders center.56．According to the passage, there is probably if you are not able to fall asleep or stay asleep.A．a bad way of sleeping B．a disorder in sleepC．a physical reason D．a problemcaused by the brain57．If you have trouble sleeping, you should try to .A．ask a doctor for help or go to a sleep – disorders centerB．put down the time you do things every dayC．do more physical exerciseD．find out the cause first58．According to the passage, which of the following would be the best way to help you sleep well?A．Taking some sleeping pills every day. B．Reading books before you go to bed.C．Setting your alarm clock at night. D．Forming good living habits. 59．The author writes this article in order to .A．tell us not being able to fall asleep is a serious diseaseB．provide us with some suggestions on sleep problemC．persuade us not to go to see the doctors when we are illD．help the American Sleep Disorders Association to find the causes of not being able to fall sleepB"It’s over! Thank goodness!"School was over and I was tired. I sat at the front of the school bus.Janie, the driver, always tries to break the uncomfortable atmosphere by talking. I try to listen politely, but usually I’m too busy thinking about my day. On this day, however, her talk was worth listening to."My father’s ill," she said to no one in particular. I could see worry in her eyes. I had never seen her like this before. She always meets students with a smile.With a sudden chance of interest, I asked, "What’s wrong with him?"With her eyes wet and her voice unusual, she answered, "Heart trouble. " Her eyes lowered as she continued, "I’ve already lost my mum, so I don’t think I can stand losing him." I couldn’t answer. My heart ached for her.I sat on the seat thinking of the great pain my own mother was thrown into when her father died.I saw how hard it was, and still is, for her. I wouldn’t want anyone to go through that.Suddenly I realized Janie wasn’t only a bus driver, which was just her job. She had a whole world of family and cares too.I shouldn’t have been so selfish. I paid no attention to Janie because she was a bus driver. I had judged her by her job and brushed her off as unimportant.I shouldn’t have been so selfish and self-centered. Understanding people is an art.60. When the students get on the school bus, Janie usually__________.A. listens to musicB. talks about her own worryC. sits on her seat without wordsD. meets them with a smile61. After she learned Janie’s story, the writer thought of__________.A. her father’s deathB. her mother’s painC. the ache of her own heartD. the pain of Janie’s parents62. The writer felt herself selfish because she had__________.A. thought of Janie as nothing but a driverB. made only a few friends in the schoolC. hardly thought of herselfD. never listened to others63. In this passage the writer tries to tell us that__________.A. losing parents makes people sad and helplessB. understanding the people around us takes timeC. we should learn to understand the people around usD. it’s not right to judge the people around us by their clothesCPerhaps a parent’s most important contribution toward raising a trustful child is to develop a relationship founded on trust. A child of any age will feel proud and grown-up if parents frequently show their trust. In court a defendant(被告) is innocent until proved guilty. But in the family, a teenager “defendant” is too often assumed guilty.Even when the child is caught in a complete lie, this should not be the end of trust. A parent can tell a child that a single lie is forgivable. Yet it should be clear that if lies continue, the child, like the boy who cried wolf, will suffer loss of trust.When my wife and I discovered that our son Tom, then 13, had lied about throwing a party while we were away, we grounded him for a month. We also told Tom that we could no longer trust him, and we could not allow him to stay alone overnight again. This loss of freedom was an important lesson; he learned how hard it is to live with people when they don’t trust him. As a result, now more than three years later we can again trust Tom to stay alone overnight.Parents must always remember there is no easy answer to this universal problem of lying. We can set a good example, allow for privacy, monitor friendship, develop trust and punish wrong doing, but still we discover our child has lied to us. Finally that’s why there is a need for trust on both sides of a parent-child relationship. Lying destroys closeness and friendship. For that reason, parents should always try to give a child the feeling that they can be trusted with the truth. Parents may start with a child’s trust, but as the child grows older, parents must earn it.64．When the writer and his wife discovered that their son had lied, they_________.A．took him from all his freedom B．decided that they could never trust him againC．forbade him to stay alone overnight for more than three yearsD．arranged for him to live with people who do not trust him for more than three years65．We can infer from the passage that very often ________.A．parents don’t trust their child as they shouldB．defendants are usually proved not guilty in courtC．parents have too much trust in their child D．some children are founded guilty in court66．According to the passage, the writer believes that _____________.A．parents shouldn’t punish their children even if they lieB．it is not easy to deal with the problem of lying as parentsC．there are many effective ways to prevent children from lyingD．a child will stop telling lies as he grows up67．What does the underlined word “ground” mean in the passage?A．To teach someone the basic things they should know in order to be able to do something.B．To stop a child going out with their friends as a punishment for behaving badly.C．To put someone on the ground and beat him.D．To ask someone to stay on the ground and not to move.DA typical Chinese Internet user is a young male who prefers instant messaging to e-mail, favors news, music and games sites and seldom makes online purchases（购物）. According to a study, about two-thirds of survey participants use the Internet for news —often entertainment-related — or for online games. About half download music and movies.They also tend to prefer instant messaging to e-mail, and they are depending on the Internet more frequently than before to communicate with others who have the same professions, hobbies and political interests. Online purchases still remain unpopular in China. Three-quarters of users surveyed have never bought anything over the Internet, and only 10 percent make purchases even once a month. Among those who do buy online, most pay for entertainment while others buy phone cards, or computer hardware or software.“Many people don’t trust the quality of goods bought online,” Guo said Wednesday. “If they buy it in a store and don’t like it, they can easily bring it back.”The survey was done in five major cities: Beijing, Shanghai, Guangzhou, Chengdu and Changsha. Results do not necessarily project countrywide because Internet use in rural areas is lower than in cities. Guo describes the typical netizen in the five cities surveyed as young, male, richer and more highly educated. Males make up two-thirds of the Internet community, and more than 80 percent of users are under 24. Among people ages 25 to 29, 60 percent to 80 percent go online.China has more than 100 million people online, second in the world to the United States.68. A typical Chinese Internet user may be the one who _________.A. likes to send e-mailsB. likes to buy goods onlineC. likes to pay for entertainmentD. likes the games sites 69. Online purchases still remain unpopular in China mainly because _________.A. it is more difficult for sales returnsB. people haven’t computersC. it is not convenient to purchase on lineD. all goods bought online are of low quality70. Which of the following words fails to describe the typical netizens in the five cities?A. well educatedB. richerC. femaleD. young 第四部分：任务型阅读(共10小题；每小题1分，满分10分)请认真阅读下面短文，并根据所读内容在文章后表格中的空格里填入最恰当的单词。
2015-2016学年高二上学期12月月考物理试卷
12 月月考高二物理试卷一、选择题 ( 共 10 小题，每题 4 分，共 40 分，在每题给出的四个选项中，有的小题只有一个选项切合题目要求，有些小题有多个选项切合题目要求，所有选对的得 4 分，选不全的得 2 分，有选错或不答的得0 分，前面7 小题为单项选择，最后 3 小题是多项选择 )1、一白炽灯泡的额定功率与额定电压分别为36 W与 36 V。
若把此灯泡接到输出电压为18 V 的电源两头，则灯泡耗费的电功率( )A．等于 36W B．小于36W，大于9W C．等于9W D．小于9W2、对于电功和电热．以下说法正确的选项是( )A．外电路电流做的功必定等于电热B．外电路中电流所做的功必定大于电热C．只有在外电路是纯电阻的状况下．电功才大于电热D．当外电路有电动机、电解槽的状况下电流做的功将转变为热能、机械能、化学能，所以，电功大于电热3．以下图，带负电的金属围绕其轴OO′匀速转动时，放在环顶部的小磁针最后将 ()A. N 极竖直向上B. N极竖直向下C. N 极水平向左D．小磁针在水平面内转动4、在以下图的电路中，电源的内电阻r =1Ω，外电路电阻R =9Ω，闭合开关后，电流表的示数I= 0.3A，电流表的内阻不计．电源的电动势 E 等于（）A．1V B．2V C．3V D．5V5、用电压表检查图示电路中的故障，测得U ad＝5.0 V，U ed＝0 V，U be＝0 V， U ab＝5.0 V，则此故障可能是()A．L断路B．R断路 C ．R′断路 D ．S断路6、以下图，当ab 端接入100V电压时， cd 两头为20V；当cd 两头接入100V时， ab 两头电压为50V，则R1∶R2∶R3之比是()A． 4∶ 1∶2 B．2∶ 1∶1C．3∶ 2∶ 1D．以上都不对7、以下图，电源 E 的电动势为 3.2V ，电阻R的阻值为30Ω，小灯泡 L 的额定电压为 3.0V ，额定功率为 4.5W，当开关接地点 1 时，电压表的示数为3V，那么当开关接到地点 2 时，小灯泡L的发光状况是 ( ) A．很暗，甚至不亮B．正常发光C．比正常发光略亮D．有可能被烧坏8．在倾角为α 的圆滑绝缘斜面上，放一根通电的直导线，以下图，a R1R2cR3b1R2d R当加上以下所述的磁场后，有可能使导线静止在斜面上的是() A．加竖直向下的匀强磁场B．加垂直斜面向下的匀强磁场C．加水平向左的匀强磁场D．加沿斜面向下的匀强磁场9．以下图，一根通电直导线垂直放在磁感觉强度为1T 的匀强磁场中，以导线为中心，半径为 R 的圆周上有 a、 b、 c、d 四个点，已知 c 点的实质磁感觉强度为0，则以下说法中正确的选项是（）c A．直导线中电流方向垂直纸面向里B B． d 点的磁感觉强度为0b d C． a 点的磁感觉强度为2T，方向向右a D．b 点的磁感觉强度为 2 T，方向斜向下，与 B 成 450角10、以下图，用半偏法测电流表G的内电阻 R g，以下说法中正确的选项是 ()11一定调理到高阻值处A．电键 S闭合前， RB．电键 S1闭合前， R2的一定调理到最大C．当电流表示数从满偏电流I1调到半偏电流1/22I时， R中电流稍大于 I1/2D．电源电动势的大小及相应的R1最大值的大小，对实验偏差有很大影响二、填空题（每空 4 分，图各 2 分，共 18 分）11、一根固定在刻度尺上的平均电阻丝（总阻值小于5Ω）两头各有一个固定的接线柱a 和，刻度尺的中间有一个可沿电阻丝滑动的触头c，的上端为接线b c柱，触头 c 与电阻丝往常不接触，当用手按下时，才与电阻丝接触，且可在直尺上读出触点的地点。
2015-2016学年高二上学期12月月考物理试卷(20210522003403)
2015—— 2016 学年度上学期 12 月小班化学习成就阶段查收高二（ 17 届）物理试题说明： 1. 测试时间： 90 分钟总分：100分2.客观题涂在答题纸上，主观题答在答题纸的相应地点上第Ⅰ卷（48 分）一．选择题（此题共48 分，每题 4 分，第 5、 6、 9、10 题为多项选择题）1．某电场中的电场线( 方向未标出 ) 如下图，现将一带负电的点电荷从服电场力做功，则C、 D两点的电场强度、电势大小关系应为()A 点移至B 点需克A．E C>E D，φC>φD B．E C<E D，φC>φD C．E C>E D，φC<φD D． E C<E D，φC<φD2．如下图，电感线圈的电阻和电源内阻均可忽视，两个电阻的阻值均为开关 S 本来是翻开的，此时流过电路的电流为I 0，今合上开关阻短路，于是线圈中产生自感电动势，此自感电动势有()A. 阻挡电流的作用，最后电流由I 0减小到零B. 阻挡电流的作用，最后电流总小于I 0C.阻挡电流增大的作用，因此电流保持I 0不变D.阻挡电流增大的作用，但电流最后仍是增大到2I 0R，S，将一电3．如图为地磁场磁感线的表示图，在北半球地磁场的竖直重量向下，飞机在我国上空匀速巡航，机翼保持水平，飞翔高度不变，因为地磁场的作用，金属机翼上有电势差，设飞翔员在右方机翼尾端处的电势为U1，左方机翼尾端处的电势为U2. 则以下说法正确的选项是()A. 若飞机从东往西飞，则U1比 U2高B.若飞机从西往东飞，则U1比 U2高C. 若飞机从南往北飞，则U1比 U2高D. 若飞机从北往南飞，则U2比 U1高4． 1931 年英国物理学家狄拉克从理论上预知：存在只有一个磁极的粒子即“磁单极子”.1982 年美国物理学家卡布莱设计了一个找寻磁单极子的实验，仪器的主要部分是一个由超导体构成的线圈，超导体的电阻为零，一个轻微的电动势就能够在超导线圈中惹起感觉电流，并且这个电流将长久保持下去，其实不减弱，他假想，假如一个只有N极的磁单极子从上向下穿过如下图的超导线圈，那么从上向下看，超导线圈大将出现（）A.先是逆时针方向的感觉电流，而后是顺时针方向的感觉电流B.先是顺时针方向的感觉电流，而后是逆时针方向的感觉电流C.顺时针方向连续流动的感觉电流D.逆时针方向连续流动的感觉电流5．（多项选择题）如下图，在粗拙绝缘的水平面上有一物体A带正电，另一带正电的物体 B 沿着以 A 为圆心的圆弧由 P 到 Q迟缓地从 A 的正上方经过，若此过程中A一直保持静止， A、 B 两物体可视为质点且只考虑它们之间有库仑力的作用，则下B列说法正确的选项是（）A．物体A遇到地面的支持力先增大后减小P Q B．物体A遇到地面的支持力保持不变C．物体A遇到地面的摩擦力先减小后增大AD．库仑力对物体B先做正功后做负功6．（多项选择题）如下图，竖直平行金属导轨MN、PQ上端接有电阻 R，金属杆质量为m，跨在平行导轨上，垂直导轨平面的水平匀强磁场为B，不计 ab 与导轨电阻，不计摩擦，且ab 与导轨接触优秀．若 ab 杆在竖直向上的外力 F 作用下匀速上涨，则以下说法正确的选项是() A．拉力 F 所做的功等于电阻R 上产生的热量B．杆 ab 战胜安培力做的功等于电阻R 上产生的热量C．电流所做的功等于重力势能的增添量D．拉力 F 与重力做功的代数和等于电阻R 上产生的热量7．在如下图的电路中，当滑动变阻器的滑动头向下滑动时，以下说法正确的选项是 ()A． A 灯和 B 灯都变亮RE rB． A 灯变亮， B 灯变暗R2AC．电源的输出功率减小B R1D．电源的工作效率降低8．如下图，一段导线abcd位于磁感觉强度大小为 B 的匀强磁场中，且与磁场方向 ( 垂直于纸面向里 ) 垂直。
2015-2016学年高二12月月考数学试卷
2015 学年第一学期 12 月综合测试高二数学试卷满分： 120 分考试时间： 100 分钟一、选择题：（本大题共 10 小题，每题 5 分，共 50 分．在每题给出的四个选项中，只有一项切合题目要求） 1、一机器元件的三视图及尺寸如右图示（单位：dm ），则该组合体的体积为（）（A ） 80 dm 3（ B ） 88 dm 3（ C ） 96 dm} 3（ D ） 112 dm 32、设 m, n 是不一样的直线，, 是不一样的平面，以下命题中正确的选项是（）A ．若 m // , n , m n ，则； B ．若 m // , n , m // n ，则 ；C ．若 m // , n, mn ，则// ； D ．若 m // , n , m // n ，则//；3、圆 ( x － 3) 2＋ ( y － 3) 2 ＝9 上到直线 3x ＋ 4y － 11＝ 0 的距离等于 1的点有 ()A ．1 个B ．2个C ．3 个D ．4 个x 2 y 234、已知椭圆 C ： a 2 ＋ b 2 ＝1(a ＞ b ＞ 0) 的左、右焦点为 F 1、 F 2，离心率为3，过 F 2的直线 l交 C 于 A 、B 两点，若△ AF 1B 的周长为 4 3，则 C 的方程为 ( )x 2 y 2B.x 22A. ＋＝ 1＋ y ＝ 132 3 x 2y 2x 2y 2 C.12＋ 8＝1D.12＋ 4＝15、一条光芒从点2, 3 射出，经 y 轴反射后与圆x2 y 21相切，则反射光32线所在直线的斜率为 ()（A ）5 3（ B ）3 2（ C ）54（ D ）4 3 或5或3或5或4324 322y6、若 x ∈ R ， y 存心义且知足 x ＋ y － 4x ＋1＝ 0，则 x 的最大值为 ()3A ． 3B ． 1C ． 2D ．37、已知圆 1：(x －2) 2＋ ( － 3) 2＝ 1，圆 2 ：( x －3) 2＋ ( y －4)2＝9， ，N 分别是圆1，2上CyCM C C的动点， P 为 x 轴上的动点，则 | PM |＋ | PN | 的最小值为 ()A ．5 2－ 4B. 17－ 1 C ．6－2 2 D.178、已知 x, y 是直线 kx y 4 0（ k0 ）上一动点，是圆 C : x 2y 22 y 0 的一条切线， 是切点，若线段长度最小值为 2 ，则 k 的值为 () A.3 B.21 2 2D.2C.29、在长方体，点M 为AB 1 的中点，点 P 为对角线 AC 1上的动点，点 Q 为底面 ABCD 上的动点（点 P ， Q 能够重合），则 MP ＋ PQ 的最小值为（ ）x 2 y 210、已知椭圆 E ： a 2＋b 2 ＝1(a ＞ b ＞ 0) 的右焦点为 F. 短轴的一个端点为 M ，直线 l ： 3x － 4y＝0 交椭圆 E 于 A ， B 两点．若 |AF| ＋ |BF| ＝ 4，点 M 到直线 l 的距离不小于 4，则椭圆 E 的5 离心率的取值范围是 ( )A.3B.3 C.3D.30， 20，2 ， 1， 144二、填空题：（本大题共 8 小题，每题4 分，共 32 分）x 2y 2 1(a b0)11、已知椭圆 a2b2经过点P(3,0)，且长轴长是短轴长的 3 倍，求椭圆的标准方程 ___________.12、已知点 P 在正方体 ABCDA 1B 1C 1D 1 的对角线 BD 1 上， PDA 60 ，则 DP 与 CC 所1成角的大小为 ___________.13、圆 x2y28内有一点P( 1,2 )， AB 为经过点 P 的直线与该圆截得的弦，则当弦AB被点 P 均分时，直线 AB 的方程为 ____________________;14、已知圆锥的底面半径和高相等，侧面积为 4 2 ，过圆锥的两条母线作截面， 截面为等边三角形，则圆锥底面中心到截面的距离为15、已知椭圆的左焦点为F 1 ，右焦点为 F 2 . 若椭圆上存在一点 P ，知足线段 PF 2 相切于以椭圆的短轴为直径的圆，切点为线段PF 2 的中点，则该椭圆的离心率为．y2x 2116、已知椭圆128， F1， F2为其焦点， P 为椭圆上一点，且∠F1PF2＝60°，△ PF1F2的面积为 ___________.17、空间中的一条线段PQ ，在其俯视图和侧视图中，该线段的投影的长度分别恒为1和 2，则线段 PQ 长的取值范围是___________.18、在平面直角坐标系xOy 中，已知圆C : ( x a)2( y a 2)21, 点A(0,2),若圆C上存在点 M , 知足MA2MO 210,则实数 a 的取值范围是______________ ．三、解答题：（本大题共 3 小题，共 38 分，要写出详尽的解答过程或证明过程）19、已知点AB的中点为P(2，2)，圆 C：x2＋ y2－8y＝0，过点M， O为坐标原点．P 的动直线l与圆C交于 A，B 两点，线段(1)求 M的轨迹方程；(2)当 | OP| ＝ | OM|时，求l的方程及△POM的面积．20、如图，已知正三棱柱ABC A1B1C1的各棱长都是4，E是BC的中点，动点F在侧棱CC1上，且不与点C重合．（Ⅰ）当 CF =1时，求证：EF ⊥A1C；（Ⅱ）设二面角C AF E的大小为，求tan的最小值．x 2y 2 1(ab 0)621、已知椭圆 a 2b 2eA(0, b) 和 B( a,0) 的直线与的离心率3 ，过点 3原点的距离为 2 ．（1）求椭圆的方程．（2）已知定点E(1,0) ，若直线 ykx 2( k0)与椭圆交于 C 、D 两点．问：能否存在 k的值，使以 CD 为直径的圆过 E 点 ?请说明原因 .场试号学2015 学年第一学期 12月综合测试-高二数学答题卷--座位号 _______________---满分： 120分考试时间： 100分钟-----一选择题：（本大题共10 小题，每题 5 分，共50 分．-----在每题给出的四个选项中，只有一项切合题目要求）--------题号12345678910 ------答案----线---二、填空题：（本大题共 8 小题，每题 4 分，共 32 分）-------11-． ____________.12． ____________.----------13． ___________.14． _______________.--------16． _____________.15.-___________ .订----级--17. ________________.18. ________________.班-----------------------名-装姓--------三、解答题：（本大题共 3 小题，共 38 分，要写出详尽的解答过程或证明过程）--2219.-P(2，2)，圆 C： x ＋ y －8y＝0，过点 P 的动直线 l 与圆 C（此题满分 12 分）已知点---交于 A， B两点，线段 AB的中点为 M， O为坐标原点．--求 M的轨迹方程；-(1)--当 | OP| ＝ | OM|时，求l的方程及△POM的面积．-(2)------------20. （此题满分 13 分）如图，已知正三棱柱ABCA1B1C 1的各棱长都是4，E是BC的中点，动点F在侧棱CC1上，且不与点C重合．（Ⅰ）当 CF =1时，求证：EF⊥ A1C ；（Ⅱ）设二面角 C AF E 的大小为，求 tan的最小值．x 2y21(a b 0)621. （此题满分 13 分）已知椭圆a2b 2eA( 0,b)的离心率3，过点3和B(a,0)的直线与原点的距离为2．（1）求椭圆的方程．（2）已知定点E( 1,0)，若直线ykx2( k0)与椭圆交于 C、D 两点．问：能否存在k的值，使以CD为直径的圆过 E 点 ?请说明原因 .。
2015-2016学年高二12月月考英语试卷
2015高二第一学期12月模块检测英语试题(2015.12)本试卷分第I卷（选择题）和第II卷（非选择题）两部分。
1．选择题部分在答题卡上按对应的题号涂卡，其中36-40题（七选五）的答案也要涂在答题卡上，如果答案是E，涂AB；如果是F，涂AC；如果是G，涂AD。
2．非选择题在答卷纸上作答。
第Ⅰ卷（满分90分）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. How will the woman go home?A. By car.B. By bike.C. By bus.2. In what case is the park free?A. Before 7 o’clock.B. For exercise.C. For a single person.3. What will the man do today?A. See a movie.B. Look after his grandma.C. Go shopping.4. What time will the library be open on Saturdays?A. 8:00 a.m. to 9:00 p.m.B. ClosedC.. 9:00 a.m. to 5:00 p.m.5. Where does the man live now?A. In America.B. In England.C. In India.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，各小题给出5秒钟的作答时间。
贵州省纳雍一中2014-2015学年高二12月月考英语试题 Word版含答案
纳雍一中2014-2015年度高二第一学期（12）班月考试卷第一部分：阅读理解第一节：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。
（每小题2分，共30分）ASince many of you are planning to study at a college or university in this country, you may be curious to know what you usually do in a typical week, how you can get along with your fellow students, and so on. These are the questions I want to discuss with you today.First, let's talk about what your weekly schedule will look like. No matter what your major may be, you can expect to spend between four and six hours a week for each class attending lectures. Lectures are usually in very large rooms because some courses such as introduction to sociology or economics often have as many as two or three hundred students, especially at large universities. In lectures, it's very important for you to take notes on what the professor says because the information a lecture is often different from the information in your textbooks. Also, you can expect to have exam questions based on the lectures. So it isn't enough to just read your textbooks; you have to attend lectures as well. In a typical week you will also have a couple of hours of discussion for every class you take. The discussion section is a small group meeting usually with fewer than thirty students where you can ask questions about the lectures, the reading, and the homework. In large universities, graduate students, called teaching assistants, usually direct discussion sections.If your major is chemistry, or physics, or another science, you'll also have to spend several hours a week in the lab, or laboratory, doing experiments. This means that science majors spend more time in the classroom than non science majors do. On the other hand, people who major in subjects like literature or history usually have to read and write more than science majors do.1. The main purpose of this text is ______.A. to help the students to learn about university lifeB. to persuade the students to attend lecturesC. to encourage the students to take part in discussionsD. to advise the students to choose proper majors2. We can learn from the passage that university professors ______.A. spend about 5 hours on lectures each weekB. must join the students in the discussion sectionsC. prefer to use textbooks in their lecturesD. require the students to read beyond the textbooks3. A discussion section does NOT include ______.A. working under the guidance of university professorsB. talking over what the students have read about the coursesC. discussing the problems related to the students' homeworkD. raising questions about what a professor has said in a lecture4. According to the author, science majors ______.A. have to work harder than non science majorsB. spend less time on their studies than non science majorsC. consider experiments more important than discussionsD. read and write less than non science majorsBArt museums are places where people can learn about various cultures(文化). 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, for example, 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(幽默的) part of our society while walking around such exhibits as interesting and unusually attractive toys collected in our everyday life.5. 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 do6. 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 well7. The choices open to design museums ______.A. are not as strict as those to art museumsB. are not aimed to interest the publicC. may fail to bring some pleasure to visitorsD. often contain precious exhibits8. 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 museumsCWe are all interested in equality, but while some people try to protect the school and examination system in the name of equality, others, still in the name of equality, want only to destroy it.Any society which is interested in equality of opportunity and standards of achievement must regularly test its pupils. The standards may be changed—no examination is perfect—but to have to tests or examinations would mean the end of equality and of standards. There are groups of people who oppose this view and who do not believe either in examinations or in any controls in schools or on teachers. This would mean that everything would depend on luck since every pupil would depend on the efficiency, the values and the purpose of each teacher.Without examinations, employers will look for employees from the highly respected schools and from families known to them—a form of favouritism will replace equality. At the moment, the bright child from an ill—respected school can show certificates to prove he or she is suitable for a job, while the lack of certificate indicates the unsuitability of a dull child attending a well-respectedschool. This defence of excellence and opportunity would disappear if examinations were taken away, and the bright child from a poor family would be a prisoner of his or her school's reputation, unable to compete for employment with the child from the favoured school.The opponents of the examination system suggest that examinations are an evil force because they show differences between pupils. According to these people, there must be no special, different, academic class. They have even suggested that there should be no form of difference in sport or any other area: all jobs or posts should be filled by unsystematic selection. The selection would be made by people who themselves are probably selected by some computer.9. The word "favouritism" in paragraph 3 is used to describe the phenomenon that ______.A. bright children also need certificates go get satisfying jobs.B. children from well—respected schools tend to have good jobsC. poor children with certificates are favoured in job marketsD. children attending ordinary schools achieve great success10. What would happen if examinations were taken away according to the author?A. Schools for bright children would lose their reputation.B. There would be more opportunities and excellence.C. Children from poor families would be able to change their schools.D. Children's job opportunity would be affected by their school reputation.11. The opponents of the examination system will agree that ______.A. jobs should not be assigned by systematic selectionB. computers should be selected to take over many jobsC. special classed are necessary to keep the school standardsD. schools with academic subjects should be done away with12. The passage mainly focuses on ______.A. schools and certificatesB. examination and equalityC. opportunity and employmentD. standards and reputationDHandshaking, though a European practise is often seen in big cities of China. Nobody knows exactly when the practice started in Europe. It is said that long long ago in Europe when people met, they showed their unarmed(无武器的) hands to each other as a sign of goodwill. As time went on and trade in cities grew rapidly, people in cities began to clap each other's hands to make a deal or to reach an agreement. This practice was later changed into shaking hands among friends on meeting or leaving each other. "Let's shake (hands) on it" sometimes means agreement reached.Do the Europeans shake hands wherever they go and with whomever they meet? No.Sometimes the Chinese abroad reach out their hands too often to be polite. It is really very impolite to give your hand when the other party, especially when it is a woman, shows little interest in shaking hands with you and when the meeting does not mean anything to him or-her. Even if, for politeness, he holds out his unwilling hand in answer to your uninvited hand, just touch it slightly. There is generally a misunderstanding(误解) among the Chinese that westerners are usually open and straightforward, while the Chinese are rather reserved(保守的) in manner. But in fact some people in western countries are more reserved than some Chinese today. So it is a good idea to shake hands with a westerner only when he shows interest in further relations with you.13. In the old days in Europe, people put out their unarmed hands to each other ______.A. to make a dealB. to greet each otherC. to show friendlinessD. to reach an agreement14. The first paragraph mainly tells us ______.A. where handshaking was first practicedB. how handshaking came aboutC. about the relationship between handshaking and tradeD. about the practice of handshaking both in Europe and in China15. According to the text, which of the following statements is true?A. Westerners are more reserved than the Chinese.B. Westerners are unwilling to shake hands.C. We should make a judgement before shaking hands.D. We shouldn't shake hands with European women.第二节：下面文章中有5处（第61–65题）需要添加小标题。
2015高二物理12月月考
2015-2016学年广水文华高中12月月考高二物理学校：___________姓名：___________班级：___________考号：___________本试卷包括第I 卷（选择题）和第II 卷（非选择题）两部分，共计110分，考试时间90分钟。
第I 卷（选择题共50分）一、本题共10小题；每小题5分，共计50分。
在每小题给出的四个选项中，7、8、9、10题有多个选项正确，全部选对得5分；选对但不全得3分；有错选或不答的得0分.1、磁体之间的相互作用是通过磁场发生的。
对磁场认识正确的是A ．磁感线有可能出现相交的情况B ．磁感线总是由N 极出发指向S 极C ．某点磁场的方向与放在该点小磁针静止时N 极所指方向一致D ．若在某区域内通电导线不受磁场力的作用，则该区域的磁感应强度一定为零2、物理实验都需要有一定的控制条件．奥斯特做电流磁效应实验时，应排除地磁场对实验的影响．关于奥斯特的实验，下列说法中正确的是( )A ．该实验必须在地球赤道上进行B ．通电直导线应该竖直放置C ．通电直导线应该水平东西方向放置D ．通电直导线应该水平南北方向放置3、关于磁感应强度，下列说法中正确的是( )A ．若长为L 、电流为I 的导线在某处受到的磁场力为F ，则该处的磁感应强度必为F ILB ．由B ＝FIL知，B 与F 成正比，与IL 成反比C ．由B ＝F IL 知，一小段通电导线在某处不受磁场力，说明该处一定无磁场D ．磁感应强度的方向就是小磁针北极所受磁场力的方向4、有一质量为m ，电荷量为q 的带正电的小球静止在绝缘平面上，并处于磁感应强度为B 、方向垂直纸面向里的匀强磁场中，如图3、5－5所示，为了使小球刚好能脱离平面，应( )A ．使磁感应强度B 的数值增大B ．使磁场以v ＝mg qB，向上运动 C ．使磁场以v ＝mg qB，向右运动 D ．使磁场以v ＝mg qB，向左运动5、为长度为20cm的通电直导线放在匀强磁场中，电流的强度为1A，受到磁场作用力的大小为2N，则磁感应强度B：（）A、B＝10TB、B≥10TC、B≤10TD、不能确定6、图所示为一速度选择器，内有一磁感应强度为B，方向垂直纸面向外的匀强磁场，一束粒子流以速度v水平射入，为使粒子流经磁场时不偏转（不计重力），则磁场区域内必须同时存在一个匀强电场，关于这处电场场强大小和方向的说法中，正确的是（）A、大小为B/v，粒子带正电时，方向向上B、大小为B/v，粒子带负电时，方向向上C、大小为Bv，方向向下，与粒子带何种电荷无关D、大小为Bv，方向向上，与粒子带何种电荷无关7、有关电荷受电场力和洛仑兹力的说法中，正确的是（）A、电荷在磁场中一定受磁场力的作用B、电荷在电场中一定受电场力的作用C、电荷受电场力的方向与该处电场方向垂直D、电荷若受磁场力，则受力方向与该处磁场方向垂直8．关于匀强磁场,下列说法中正确的是（）、A．在某一磁场中,只要有若干处磁感应强度相同,这个区域里的磁场就是匀强磁场B．只要磁感线是直线,该处的磁场一定是匀强磁场C．匀强磁场中的磁感线,必定是相互平行且间距相等的直线D．距离很近的两个异名磁极之间及通电螺线管内部靠近中间部分的磁场,都可视为匀强磁场9、某地的地磁场强度大约是6.0×10－5 T，一根长为500 m的导线，通入电流强度为10 A 的电流，该导线可能受到的磁场力为( )A．0.1 N B．0.2 NC．0.3 N D．0.4 N10、如图所示，一根通有电流I的直铜棒MN，用导线挂在磁感应强度为B的匀强磁场中，此时两根悬线处于紧张状态，下列哪些措施可使悬线中张力增大的是()A．适当增大电流B．使电流I反向C．保持电流I不变，适当增大B D．使磁场B反向第II卷（非选择题，共60分）二、实验题11、（4分）如图所示，在垂直纸面向里的匀强磁场中，有一段弯成直角的金属导线abc ，且ab=bc=L 0，通有电流I ，磁场的磁感应强度为B ，若要使该导线静止不动，在b 点应该施加一个力F 0，则F 0的方向为________；B 的大小为________.12、（4分）电子以4×106m ／s 的速率垂直射入磁感应强度0．5T 的匀强磁场中，受到的磁场力为_____N ．如果电子射入磁场时速度v 与B 的方向间的夹角是180°，则电子受的磁场力为_______N ．13、（9分）一台回旋加速器可用频率为f 1的交变电场把质子(H)加速到v 1质子所获得的能量为E 1；当这台加速器用频率为f 2的交变电场加速α粒子(He)时，α粒子的速度为所获得的能量E 2,则V 1：V 2=___, E 1:E 2=____ f 1：f 2=_____。
2015年高二英语12月份月考试题(带答案听力)
2015年高二英语12月份月考试题（带答案听力）2015年秋季学期钦州港经济技术开发区中学12月份考试试题高二英语试卷本试卷分第I卷（选择题）和第II卷（非选择题）两部分。
考试结束，将本试卷和答题卡一并交回。
满分150分，考试时间120分钟。
注意事项： 1．答第I卷前，考生务必将自己的姓名、准考证号填写在本试卷和答题卡相应位置上。
2．选出每小题答案后，用铅笔把答题卡上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，不能答在本试卷上，否则无效。
3．答第II卷时，将答案写在答题卡上。
写在本试卷上无效. 第I卷（选择题，共100分）第一部分听力（共两节，满分30分）第一卷客观题：共四部分第一部分听力（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，并标在试卷的相应位置。
每段对话仅读一遍。
1. Where is Bill now? A. At the office B. Away on vacation C. At home in bed 2. What time will the game be finished? A.4:30p.m B. 3:40p.m C. 4:00p.m 3. How will the man go to New York? A.By boat B. By plane C. By train 4. Who parked the car in the space? A. The man B. The woman C. Neither the man nor the woman 5.How old was his grandpa when he died?A. 56.B. 76.C. 38 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，并标在试卷的相应位置。
2015-2016学年高二上学期12月月考英语试卷
12月月考高二英语试卷第一部分听力第一节（共 5 小题，每题 1.5 分）1. Where does the conversation probably take place?A.In the boy ’s home.B. In a zoo.C. Over the telephone 2.What does the woman mean?A.She will see the man off at the airport.B.She wants the man to bring her a cake.C.The questions are easy for the man.3. What do we know about Mrs. White?4. Who is the little girl?A. Helen ’s daughter.B. Helen’s niece.C. Helen’s sister.5.What would the woman like to drink?A. Wine.B. Beer.C. Orange juice.第二节（共15 小题，每题 1.5 分）听第六段资料，回答第 6. 、7 题。
6. Where is Elena?A. In the classroom.B. In the reading room.C. In the park.7. What will Elena do?A. She will study for the test with the man.B. She will call Tom and discuss her holiday plans.C. She will go to the library to prepare for the test.听第七段资料，回答第8、9 题8. Why does the man advise the woman to go to Harbin?A. It’s cold there.B. It’s not far away.C. It’s interesting there.9.How will the woman get there?A. By air.B. By train.C. By car.听第八段资料，回答第10-12题。
- 1、下载文档前请自行甄别文档内容的完整性，平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益，请联系客服反馈,我们会尽快为您处理(人工客服工作时间：9:00-18:30)。
湘钢一中2015年下学期高二月考数学试卷本试卷满分150分，考试时间120分钟。
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，只有一项是符合题目要求的，把答案填在答题纸上) 1. 命题“在ABC ∆中，若21sin =A ，则︒=30A ”的否命题是（ ） A. 在ABC ∆中，若21sin =A ，则︒≠30A B. 在ABC ∆中，若︒=30A ，则21sin =A C. 在ABC ∆中，若1sin 2A ≠，则︒≠30A D. 在ABC ∆中，若︒≠30A ，则21sin ≠A . 2. 已知a ()3,1,2-=，b ()x ,2,4-=，且a ⊥b ，则=x （ ） A.310B. 38-C. 3D. 23. 若点M 在双曲线x 216－y 24＝1上，双曲线的焦点为F 1，F 2，且|MF 1|＝3|MF 2|，则|MF 2|等于（ ） A.2 B.4 C.8D.124. 等差数列}{n a 中，已知前15项的和9015=S ，则8a 等于（ ） A ．245B ．12C ．445D ．6 5. “21sin =α”是“212cos =α”的 （ ）A ．充分而不必要条件B ．必要而不充分条件C ．充要条件D ．既不充分也不必要条件 6．如图，在平行六面体1111ABCD A B C D -中，底面是边长为2的正方形，若01160A AB A AD ∠=∠=，且13A A =，则1A C 的长为（ ） A．B ．C D7. 已知正项数列{a n }的首项a 1＝1，前n 项和为S n ，若以(a n ，S n )为坐标的点在曲线y ＝12x (x ＋1)上，则数列{a n }的通项公式为（ ）A. 12n n a +=B.n a n =C.2n a n = D.24n n a =8. 已知实数y x ,满足,4,0,x y x y y ≥⎧⎪+≤⎨⎪≥⎩则y x z +=2的最大值为（ ）A. 8B. 6C. 4D. 09．在中，若，则的取值范围为（ ）A ．B ．C ．D ．10. 一个正方体的展开图如图所示，A 、D 、E 、F 为原正方体的顶点，G 为DE 的中点．在原来的正方体中，若向量ED z AE y AF x FG ++=则x +y +z （ ） A ．12-B ．C ．D ．1211．设0,0.a b >>1133a ba b+与的等比中项，则的最小值为（ ）A ． 8 B. 4 C. 1 D.1412. 设抛物线=2x 的焦点为F ，过点M0）的直线与抛物线相交于A ，B 两点，与抛物线的准线相交于C ，=2，则BCF 与ACF 的面积之比=（ ） A.B. C. D.二、填空题 (本大题共４小题，每小题5分，共２0分，把答案填在答题纸上) 13. 若单位向量a 、b 满足：a · (a +b )=32，记a ，b 的夹角为，则函数的最小正周期为 。
ABC ∆222sin sin sin sin sin B C A B C +-=⋅cos B 1(,1)2-1[,1]2-(2[21-12y BF ∆∆BCFACFS S ∆∆45234712θsin()6y x πθ=+14．已知正四棱锥S ABCD -的侧棱长与底面边长都相等，E 是SB 的中点，则AE SD ，所成的角的余弦值为 ;15. 设F 1、F 2是双曲线1422=-y x 的两个焦点，点P 在双曲线上，且120PF PF →→∙=，则→→⋅21PF PF 的值等于 ；16.已知椭圆22221(0)x y a b a b+=>> 的右顶点为A ，点P 在椭圆上，O 为坐标原点，且OP ⊥PA ，则椭圆离心率的取值范围是 。
三、解答题 (本大题共6小题, 共70分. 解答应写出相应的文字说明、 证明过程或演算步骤)17．(10分)已知P ＝{x |x 2－8x －20≤0}，S ＝{x |1－m ≤x ≤1+m }.（1）是否存在实数m ，使x ∈P 是x ∈S 的充要条件，若存在，求出m 的取值范围，若不存在，说明理由；（2）是否存在实数m ，使x ∈P 是x ∈S 的必要不充分条件，若存在，求出m 的取值范围；若不存在，说明理由。
18．（12分）△在内角的对边分别为,已知.(Ⅰ)求; (Ⅱ)若,求△面积的最大值.19. （12分）双曲线2221(0)x y a a -=> 抛物线C:y 2=2px （p>0）的焦点在双曲线的顶点上。
(1)求抛物线方程;(2) 直线l 过点P （0，1）且与抛物线只有一个公共点,求直线l 的方程。
20. （12分）如图，正方形所在平面与平面四边形所在平面互相垂直，△是等腰直角三角形，（I ）求证：；（II ）求AF 与平面BDF 所成角的余弦值。
21. （12分）南方某林场有荒山3250亩，打算从2015年1月开始在该荒山上植树造林，且保证每年种树全部成活，第一年植树100亩，此后每年都比上一年多植树50亩。
（1）问至少需几年才可将此荒山全部绿化？（2）如果新种树苗每亩的木材量为2立方米，树木每年的自然增材率为10%，那么到此荒山全部绿化后的一年底，这里树木的木材量总共为多少立方米？（参考数据：）22. （12分）已知中心在原点O ，焦点在x 轴上，（1）求椭圆的方程；（2）设不过原点O 的直线与该椭圆交于P ，Q 两点，满足直线OP ，PQ ，OQ的斜率依次成等比数列，求面积的取值范围。
ABCD ABEF ABE ,,45AB AE FA FE AEF ︒==∠=EF BCE ⊥平面111.1 2.9≈).2l OPQ ∆湘钢一中2015年下学期高二月考数学试卷参考答案一、 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，只有一项是符合题目要求的，把答案填在答题纸上)二、填空题 (本大题共4小题，每小题5分，共20分，把答案填在答题纸上) 13. 6 1415. 2 16.12e <<三、解答题 (本大题共6小题, 共70分. 解答应写出相应的文字说明、 证明过程或演算步骤)17．(10分)已知P ＝{x |x 2－8x －20≤0}，S ＝{x |1－m ≤x ≤1+m }.（1）是否存在实数m ，使x ∈P 是x ∈S 的充要条件，若存在，求出m 的取值范围，若不存在，说明理由；（2）是否存在实数m ，使x ∈P 是x ∈S 的必要不充分条件，若存在，求出m 的取值范围；若不存在，说明理由。
.解：（1）由－8x －20≤0可解得－2≤x ≤10，∴ P ={x |－2≤x ≤10}.∵ x ∈P 是x ∈S 的充要条件，∴ P ＝S ，∴12110m m -=-⎧⎨+=⎩∴ 这样的m 不存在.（2）由题意知，x ∈P 是x ∈S 的必要不充分条件，则SP .于是有11m m ->+或11+m 12110m m m -≤⎧⎪-≥-⎨⎪+≤⎩解得 m ≤3.∴ 当m ≤3时，x ∈P 是x ∈S 的必要不充分条件.18．（12分）△在内角的对边分别为,已知.(Ⅰ)求; (Ⅱ)若,求△面积的最大值.【答案】19. （12分）双曲线2221(0)x y a a -=> 抛物线C:y 2=2px （p>0）的焦点在双曲线的顶点上。
(1)求抛物线方程;(2) 直线l 过点P （0，1）且与抛物线只有一个公共点,求直线l 的方程。
解：（1）y 2=2x ………………4分（2）①当斜率不存在时，直线方程为x=0，经过检验可得此时直线也与抛物线y 2=2x 相切． ………………6分 ②当直线l 的斜率存在时，设它等于k ，当 k=0时，直线l 的方程为 y=1，满足直线与抛物线仅有一个公共点……8分 当k ≠0时，直线l 是抛物线的切线，设直线l 的方程为 y=kx+1，代入抛物线的方程可得：k 2x 2+（2k-2）x+1=0，根据判别式等于0，求得 k=12故切线方程为 y=12x+1 …………11分 综上,所求的直线方程为：y=1，或 x=0，或 x-2y+2=0． …………12分20. （12分）如图，正方形所在平面与平面四边形所在平面互相垂直，△是等腰直角三角形，（I ）求证：；（II ）求AF 与平面BDF 所成角的余弦值。
解:(Ⅰ)因为△ABE 为等腰直角三角形,AB=AE,所以AE ⊥AB.又因为平面ABEF ⊥平面ABCD,AE 平面ABEF,平面ABEF ∩平面ABCD=AB,所以AE ⊥平面ABCD.所以AE ⊥AD. 因此,AD,AB,AE 两两垂直,以A 为坐标原点,建立 如图所示的直角坐标系A-xyz. 设AB=1,则AE=1，B （0，1，0），D (1, 0, 0 ) ,E ( 0, 0, 1 ), C ( 1, 1, 0 ). 因为FA=FE, ∠AEF = 45°,所以∠AFE= 90°.从而，. 所以11(0,,)22EF =-- ,,., .所以EF ⊥BE, EF ⊥BC.又BC ∩BE=B ,所以EF ⊥平面BCE.(Ⅱ) 设平面BDF 的一个法向量为，并设n =（x ，y ，z ）=(1，1，0)，，由 得 令y=1，则x=1，z=3，从而 n =（1，1，3）； 11(0,,)22AF =-设AF 与平面BDF 所成角为θ，sin cos ,cos n AF θθ===∴=故AF 与平面BDF所成角余弦值为11。
ABCD ABEF ABE ,,45AB AE FA FE AEF ︒==∠=EF BCE ⊥平面⊂11(0,,)22F -(0,1,1)BE =- (1,0,0)BC =110022EF BE ∙=+-= 0EF BC ∙= 1n BD-31(0,,)22BF =- 1100n BD n BF ⎧⋅=⎪⎨⋅=⎪⎩ 031022x y y z -=⎧⎪⎨-+=⎪⎩21. （12分）南方某林场有荒山3250亩，打算从2015年1月开始在该荒山上植树造林，且保证每年种树全部成活，第一年植树100亩，此后每年都比上一年多植树50亩。
（1）问至少需几年才可将此荒山全部绿化？（2）如果新种树苗每亩的木材量为2立方米，树木每年的自然增材率为10%，那么到此荒山全部绿化后的一年底，这里树木的木材量总共为多少立方米？（参考数据：）解：(1)每年植树的亩数构成一个以，d=50的等差数列，共和即为荒山的总亩数，设需要n 年可将此山全部绿化．=(1)1005032502n n n -+⨯≥ (2)第一年种植的树在第十年后的木材量为，第二年种植的树在每十年后的木材量为……第十年种植的树在年底的木材量为．则十年后的木材量依次构成数列，则其和为…………………………7分111.1 2.9≈22. （12分）已知中心在原点O ，焦点在x 轴上，离心率为的椭圆过点 （1）求椭圆的方程；（2）设不过原点O 的直线与该椭圆交于P ，Q 两点，满足直线OP ，PQ ，OQ的斜率依次成等比数列，求面积的取值范围。