辽宁省大连育明高级中学2017届高三上学期期末考试英语试题Word版含答案
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辽宁省重点高中协作校2017届高三上学期期末考试英语试题考生注意:1.本试卷分第I卷(选择题)和第II卷(非选择题)两部分,共150分,考试时间120分钟。
2.答题前,考生在答题考生务必用直径0.5毫米黑色墨水签字笔将自己的姓名、准考证号填写清楚,并贴好条形码,请认真核准条形码上的准考证号、姓名和科目。
3.每小题选出答案后,用2B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,在选涂其他答案标号,在试题卷上作答无效.........。
4.本试卷主要考试内容:高中综合。
第I卷第一部分听力(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秒钟的时间回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. How old is the woman?A. 16 years oldB. 19 years oldC. 20 years old2. What does the woman do?A. A teacherB. A studentC. A doctor3. What does the man do on holiday?A. Read booB. Listen to musicC. Travel with friends4. What is the woman doing?A. Using a travel websiteB. Flying to AtlantaC. Looing for a travel agent5. What is the man’s reaction to the news?A. He feels surprised at itB. He doesn’t care about itC. He is very happy at it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。
2019-2020学年大连育明高级中学高三英语上学期期末考试试卷及答案第一部分阅读(共两节,满分40分)第一节(共15小题;每小题2分,满分30分)阅读下列短文,从每题所给的A、B、C、D四个选项中选出最佳选项AObesity (肥胖症) is becoming a problem in our busy society, and almost one in three American adults is now considered to be obese. Children obesity is alsoat an all-time high.Obesity means being very overweight. If you are obese, you have too much bodyfat. If you eat more food than your body can use, this will make you put on weight. Food that your body does not need will be stored as fat by your body.The following are the major factors that increase the risk of obesity.What you eat plays a major role in weight gain. Eating a lot of fast food such as hamburgers, sweet drinks, ice creams and other sweet food can increase the risk of becoming obese.If you do not do enough exercise, you will put on weight as the food you eat is not being used to make energy for physical activities.The chances of you being obese are greater if your parents are obese.There are many psychological factors that cause people to eat too much. People who are worried, unhappy or bored will often eat to make themselves feel better. This is known as comfort eating.Age is another factor, as you tend (趋于) to be less active when you get older. When you get older, you need to eat less, and if you do not eat less, you will put on weight. Obesity can cause many health problems such as heart problems, high blood pressure and many other serious medical conditions.1. The underlined sentence in paragraph 1 means that ____.A. obesity does not do harm to health.B. there are more obese children than before.C. all the American children are obese.D. there are less obese children in the USA.2. According to the passage, there are ____ major factors that increase the risk of obesity.A. threeB. fourC. fiveD. six3. What will the writer most probably talk about after the last paragraph?A. How to avoid obesity.B. How to live in the busy USA.C. What illnesses are caused by obesity.D. How doctors treat heart problems.BJake Oldershaw and his daughter Mollie from Birmingham, Britain have asthma (哮喘). Mollie, 11, has required hospital treatment several times while Jake Says he always finds breathing more difficult when there is heavy traffic. Air quality has an enormous impact on their lives and both noticed a marked improvement during the spring lockdown because of the epidemic (疫情). Jake said, “During lockdown there was a noticeable difference in air quality. I didn't suffer any asthmatic attacks during that period. These days you can feel the effects.”However, under current COVID-19 restrictions in the UK this winter, many people probably will have to work from home. The Energy and Climate Intelligence Unit (ECIU) says while emissions (排放) have dropped this year because we've been travelling less and doing less, the expected use ofgas boilers to provide heating and hot water could rise by more than half.Heating accounts for nearly 37% of the UK's total carbon emissions. Modelling by the ECIU suggests a 56% increase in boiler usage this winter resulting in a 12% increase in emissions of carbon. The ECIU says that's enough to offset the last two years' worth of progress on reducing traffic emissions.Jess Ralston, author of the analysis for the ECIU, said, “Working from home and having increased gas use in the home could be really critical for air pollution and also climate change. The way we heat our homes needs to change if we are to get to net zero by 2050.”Jess Ralston said, “The increase in pollution from gas boilers expected this winter provides a graphic illustration (图解) of their forgotten role in air pollution. And it is a role set to continue without practical policies to decarbonize home heating. ”The government is set to publish its Heat and Buildings Decarbonisation Strategy in a few weeks which is expected to give details on plans to try to switch British homes to cleaner sources of heat.4. How did the spring lockdown in the UK affect Jake?A. He was cured of his asthma.B. He had to go to hospital for retreatment.C. He suffered a noticeable difficulty in study.D. He didn't suffer any asthmatic attacks during that period.5. What is concerning the Energy and Climate Intelligence Unit?A. The epidemic will become worse.B. Air pollution will get worse this winter.C. People may have to work from home longer.D. There is less energy for gas boilers in winter.6. What would Jess Ralston agree with?A. People prefer to work from home in winter.B. The government failed to protect the environment.C. People tend to ignore the harmful effect of home heating.D. The climate has suffered a lot from the epidemic this year.7. How to improve air quality during winter according to Jess Ralston?A. A warmer winter season.B. Less and less gas boilers.C. Practical plans from the government.D. Improved awareness of cutting down pollution.CHappiness is not a warm phone, according to anew study exploring the link between young life satisfaction and screen time. The study was led by professor of psychology Jean M. Twenge at San Diego State University (SDSU).To research this link, Twenge, along with colleagues Gabrielle Martin at SDSU and W. Keith Campbell at the University of Georgia, dealt with data from the Monitoring the Future (MtF) study, a nationally representative survey of more than a million U. S. 8th-, 10th-, and 12th-graders. The survey asked students questions about how often they spent time on their Phones, tablets and computers, as well as questions about their face-to-face social interactions and their overall happiness.On average found that teens who spent more time in front of screen devices — playing computer games, using social media, texting and video chatting — were less happy than those who invested more time in non-screen activities like sports, reading newspapers and magazines, and face-to-face social interactions."The key to digital media use and happiness is limited use," Twenge said. "Aim to spend no more than two hours a day on digital media, and try to increase the amount of time you spend seeing friends face-to-face andexercising — two activities reliably linked to greater happiness."Looking at historical trends from the same age groups since the 1990s, it's easy to find that the increase of screen devices over time happened at the same time as a general drop-off in reported happiness inU. S.teens. Specifically, young peopled life satisfaction and happiness declined sharply after 2012. That's the year when the percentage of Americans who owned a smartphone rose above 50 percent. By far the largest change in teens' lives between 2012 and 2016 was the increase in the amount of time they spent on digital media, and the following decline in in-person social activities and sleep.8. Which method did Twenge's team use for the study?A. Calculating students' happiness.B. Asking students certain questions.C. Analyzing data from a survey.D. Doing experiments on screen time.9. How does the author develop the finding of the study in paragraph 3?A. By making a comparison.B. By giving an example.C. By making an argument.D. By introducing a concept.10. What is the purpose of the last paragraph?A. To draw a conclusion from the study.B. To offer some advice to the readers.C. To prove social activities' importance.D. To support the researchers' finding.11. Which of the following can be the best title for the text?A. Quitting Phones Equals HappinessB. Screen Time Should Be BannedC. Teens' Lives Have Changed SharplyD. Screen-addicted Teens Are UnhappierDA new look for technology, Solestrom’s new high-tech swimsuits promise to stand out all summer long. First in their new products is Solestrom’s new SmartSwimCMUV Smart Bikini featuring a smart UV meter.The bikini collects UV information through a smart fabric belt and reports the UV index to the wearer with 0.01 exactness. The electronic parts are neatly built into the removable belt, and can be worn even underwater. Next in the list is a lower cost cousin, the SmartSwimCMUV Index Detector Bikini, which has UV sensitive beads that change color1 with the level of UV intensity. The reading gives more of a range rather than an exact number, but for those who simply need to know if the UV is low, moderate or high, this bikini fits the bill.It is now available in Banana Split, more color1 s may become available later in the season. And finally, what could be better than a beach tote with built in energy source? No need to suffer dead batteries in your MP3, just plug them into your Solar Powered Beach Tote for on-the-go mobile charging. This beach tote combines fashion and functionality all in one, lightweight and roomy beach accessory. A built in solar panel charges fully most small electronics in only 2-3 hours of sunlight. Pauline Butler, Media Relations Manger at Solestrom states “the concept of blending fashion and technology is growing at amazing rate, and we are right on the leading edge. Our products are new, creative and meet the need of the young and environmentally conscious crowd.’’Solestrom’s SmartSwinirCMproducts retail from $98. 99- $189. 99,and can be found in their online store, Solestrom. com.12. What is the passage mainly about?A. Famous Solestrom and its Products.B. Fashionable and Functional Beach Tote.C. Smart swimsuits and Solar Powered Beach Tote.D. Where and How to Buy SmartSwirn and the Beach Tote.13. Why are UV sensitive beads used in the SmartSwirnCMUV Index Detector Bikini?A. To give an exact number.B. To know if the UV is low, moderate or high.C. To change color1 with the level of UV intensity.D. To improve the equality of the UV Index Detector Bikini.14. What can we know about Solar Powered Beach Tote?A. Its parts are fixed in the belt.B. It combines lightweight and functionality.C. It can tell the weaver the level of UV intensity.D. It saves people from worrying about dead batteries in their MP3.15. Who will prefer the new products mentioned in the text?A. The young people and the environmentalists.B. People who like to travel all over the world.C. People who love to buy goods online.D. People interested in the latest bag.第二节(共5小题;每小题2分,满分10分)阅读下面短文,从短文后的选项中选出可以填入空白处的最佳选项。
大连育明高中2017-2018学年入学英语试题I、单项填空(共20小题,每题1.5分,总分30分)从A、B、C、D中,选出可以填入空白处的最佳答案。
1. —______are you talking about?—The Olympic Games in Beijing.A. WhatB. WhomC. HowD. Where2. This is ______ only expensive dress I've got.A. aB. anC. theD. 不填3. — How are you today, Francis?— Much______, but my doctor says I'll still have to rest for another few days.A. wel1B. goodC. betterD. best4. — What's that terrible noise?— The neighbors ______ for a party.A. preparedB. prepareC. will prepareD. are preparing5. As China grows stronger and stronger, Chinese _____ in more and more schools out of our country.A. teachesB. is taughtC. has taughtD. was taught6. — Is Simon coming by train?— He should, but he _______ not. He likes driving his car.A. mayB. shallC. needD. must7. I've got many books on Chinese food. You can borrow _____ if you like.A. eitherB. oneC. itD. every8. Oh, it's you, Ella! Your voice sounds very different _____ the phone. What's happening?A. fromB. inC. ofD. on9. It's too late to go out now and _____, it's starting to rain.A. thoughB. besidesC. howeverD. instead10. — Did you see who the driver was?— No, the car ran so fast _______ I couldn't get a good look at his face.A. thatB. whichC. asD. after11. She read the instructions to find out how ______ the computer.A. useB. to useC. usingD. uses12. There are more than two _______ languages spoken in Nigeria.A. hundredsB. hundreds ofC. hundredD. hundred of13. — Would you please ____ the TV a little? Jack is doing his homework.— Terribly sorry. I will.A. turn downB. turn upC. turn onD. turn off14. Afternoon tea is ______ in the dining room from 3 to 5 p. m. every day.A. servedB. burnedC. cookedD. eaten15. — Could I ask you a rather personal question? — Of course, _____.A. good ideaB. that's rightC. never mindD. go ahead16. -_______ is the weather there?-It's sunny.A. WhatB. HowC. WhichD. Who17. You'd better _______ before you finish your homework.A. not playB. to not playC. not to playD. playing18. -I'm sorry I didn't find the book for you.-_______.A. No sorryB. It doesn't matterC. Thank you all the sameD.That’s all right19. -Why not meet at the school gate at 8:00?-It's too early. Let's _______ it a little later.A. meetB. makeC. doD.go20. -Must I clean my room first?-No, you _______.A. needn'tB. couldn'tC. have toD. mustn’tII 完形填空通读下面两篇短文,掌握其大意,然后从各题所给的A、B、C三个选项中选出一个最佳答案。
绝密★启用前2017届辽宁省大连育明高级中学高三上学期期末考试数学(理)试卷(带解析)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第I卷(选择题)请点击修改第I卷的文字说明一、选择题1.M={x|−4<x<2},N={x|y=√x},则M∩N=()A. (0,4)B. [0,4)C. (0,2)D. [0,2)2.若复数1+ai2−i(i为虚数单位)为纯虚数,则实数a的值为()A. 2B. 12C. −12D. -23.已知在等差数列{a n}中,a1=1,且a2是a1和a5的等比中项,则a7=()A. 1 B. 1或13 C. 13 D. 1或154.过点M(1,0)作斜率为1的直线l交抛物线y2=4x于A,B两点,则|AB|=()A. 4 B. 6 C. 8 D. 105.某公司有30名男职员和20名女职员,公司进行了一次全员参与的职业能力测试,现随机询问了该公司5名男职员和5名女职员在测试中的成绩(满分为30分),可知这5名男职员的测试成绩分别为16,24,18,22,20,5名女职员的测试成绩分别为18,23,23,18,23,则下列说法一定正确的是()A. 这种抽样方法是分层抽样B. 这种抽样方法是系统抽样C. 这5名男职员的测试成绩的方差大于这5名女职员的测试成绩的方差D. 该测试中公司男职员的测试成绩的平均数小于女职员的测试成绩的平均数6.设向量a⃗=(1,0),b⃗⃗=(√22,−√22),若c⃗=a⃗+tb⃗⃗(t∈R),则|c⃗|的最小值为()A. √2B. 1C. √22D. 127.已知某几何体的正(主)视图与侧(左)视图都是直角边长为1的等腰直角三角形,且体积为13,则该几何体的俯视图可以是()A. B. C. D.8.执行如图所示的程序框图,若输出的x 的值是8,则实数M 的最大值为( )A. 39B. 40C. 41D. 1219.已知函数f(x)=2cos(2x +φ)(|φ|<π2)的图象向右平移π6个单位长度后得到的函数图象关于y 轴对称,则函数f(x)在[0,π2]上的最大值与最小值之和为( )A. −√3B. -1C. 0D. √310.已知点P 在直径为√2的球面上,过点P 作球的两两垂直的三条弦PA,PB,PC ,若PA =PB ,则PA +PB +PC 的最大值为( ) A. √6 B. √2+1 C. √2+2 D. 311.已知双曲线x 2a 2−y 2b 2=1(a >0,b >0)的实轴端点分别为A 1,A 2,记双曲线的其中一个焦点为F ,一个虚轴端点为B ,若在线段BF 上(不含端点)有且仅有两个不同的点P i (i =1,2),使得∠A 1P i A 2=π2,则双曲线的离心率e 的取值范围是( )A. (√2,√5+12) B. (√2,√6+12) C. (1,√5+12) D. (√5+12,+∞) 12.若关于x 的不等式me x x≥6−4x 在(0,+∞)上恒成立,则实数m 的取值范围是( )A. (−∞,2e −12) B. (−∞,2e −12] C. (2e −12,+∞) D. [2e −12,+∞)13.已知z =(m −3)+(m +1)i 在复平面内对应的点在第二象限,则实数m 的取值范围是( )A. (−3,1)B. (−1,3)C. (1,+∞)D. (−∞,−3)14.已知集合M ={0,1,2,3},N ={x|x 2−3x <0},则M ∩N =( ) A. {0} B. {x |x <0} C. {x |0<x <3} D. {1,2}15.《九章算术》之后,人们学会了用等差数列的知识来解决问题,《张丘建算经》卷上第22题为:“今有女善织,日益攻疾(注:从第2天开始,每天比前一天多织相同量的布),第一天织5尺布,现一月(按30天计)共织390尺布”,则从第2天起每天比前一天多织( )尺布 A. 12 B.815C.1631D.162916.双曲线C:x 2a2−y 2b 2=1(a >0,b >0)的离心率为2,焦点到渐近线的距离为√3,则C 的焦距等于( )A. 2B. 2√2C. 4D. 4√217.将某师范大学4名大学四年级学生分成2人一组,安排到A 城市的甲、乙两所中学进行教学实习,并推选甲校张老师、乙校李老师作为指导教师,则不同的实习安排方案共有( )A. 24种B. 12种C. 6种D. 10种 18.执行如图程序,输出S 的值为( )A.10072015B.10082017C.20162017D.2015403219.一个棱锥的三视图如图,则该棱锥的表面积是( )A. 4+2√6B. 4+√6C. 4+2√2D. 4+√220.设函数f(x)=3sin(ωx +ϕ)(ω>0,−π2<ϕ<π2) 图像关于直线x =2π3对称,它的周期是π,则( )A. f(x)的图像过点(0,12) B. f(x)在[π12,2π3]上是减函数C. f(x)的一个对称中心是(5π12,0)D. 将f(x)的图象向右平移|ϕ|个单位得到函数y =3sinωx 的图像21.已知a ⃗=(4,-2),b ⃗⃗=(cosα,sinα)且a ⃗⊥b ⃗⃗,则sin 3α+cos 3αsinα−cosα为( ) A. 2 B. 95 C. 3 D. −35 22.给出以下命题:(1)“0<t <1”是“曲线x 2t +y 21−t =1表示椭圆”的充要条件(2)命题“若x 2=1,则x =1”的否命题为:“若x 2=1,则x ≠1”(3)RtΔABC 中,|AC|=2,∠B =90∘,∠C =30∘.D 是斜边AC 上的点,|CD|=|CB|.以B 为起点任作一条射线BE 交AC 于E 点,则E 点落在线段CD 上的概率是√32(4)设随机变量ξ服从正态分布N(0,1),若P(ξ>1)=0.2,则P(−1<ξ<0)=0.6 则正确命题有( )个A. 0B. 1C. 2D. 323.已知f(x)是定义在(0,+∞)上的单调函数,且对任意的x ∈(0,+∞),都有f[f(x)−log 2x]=3,则方程f(x)−f ′(x)=2的解所在的区间是( ) A. (0,12) B. (12,1) C. (1,2) D. (2,3)第II 卷(非选择题)请点击修改第II 卷的文字说明二、填空题24.若sinα=−45,且α是第三象限角,则sin2α−cos 2α=__________.25.若x,y 满足约束条件{y ≤1x +y ≤2x +2y −2≥0,则z =2x +y 的最大值为__________.26.已知首项a 1=1的数列{a n }满足a n+1=2a n +1(n ∈N ∗),则数列{a n +1−n}的前n 项和T n =__________.27.若f(x)是定义在[0,+∞)上的函数,当x ∈[0,2]时,f(x)=sin(πx),且当x ∈(2,+∞)时,f(x)=12f(x −2),则方程f(x)=ln(x −1)的实数根的个数为__________. 28.已知在ΔABC 中,角A,B,C 的对边分别是a,b,c ,且2sin 2A +3cos(B +C)=0. (1)求角A 的大小;(2)若ΔABC 的面积S =5√3,a =√21,求sinB +sinC 的值. 29.二项式(2x −1x )6展开式中的常数项为__________.30.若A 为不等式组{x ≤0,y ≥0,y −x ≤2表示的平面区域,则a 从−2连续变化到1时,动直线x +y =a 扫过A 中的那部分区域的面积为__________.31.意大利数学家列昂那多•斐波那契以兔子繁殖为例,引入“兔子数列”:1,1,2,3,5,8,13,21,34,55,89,144,233,⋅⋅⋅,即F(1)=F(2)=1,F(n)=F(n −1)+F(n −2)(n ≥3,n ∈N ∗),此数列在现代物理、准晶体结构、化学等领域都有着广泛的应用,若此数列被3整除后的余数构成一个新数列{b n },b 2017=__________.32.已知函数f(x)={log 4x +x −3(x >0),x −(14)x +3(x ≤0),若f(x)的两个零点分别为x 1,x 2,则|x 1−x 2|=__________.三、解答题33.已知数列{a n }a 1=2,前n 项和为S n ,若S n =2(a n −1)(n ∈N ∗). (1)求数列{a n }的通项公式;(2)设b n =(log 2a n+1)2−(log 2a n )2,若c n =a n b n ,求{c n }的前n 项和T n .34.已知四棱锥P −ABCD 如图所示,其中四边形ABCD 是菱形,且∠ABC =60∘,三角形PAD 是等边三角形,平面PAD ⊥平面ABCD ,点M 为棱PC 上的点,且PM =13PC .(1)求证:ΔPBC 是直角三角形;(2)若CD =2,求四棱锥M −ABCD 的体积.35.从某市主办的科技知识竞赛的学生成绩中随机选取了40名学生的成绩作为样本,已知这40名学生的成绩全部在40分至100分之间,现将成绩按如下方式分成6组,第一组[40,50);第二组[50,60);…;第六组[90,100],并据此绘制了如图所示的频率分布直方图.(1)求成绩在区间[80,90)内的学生人数;(2)从成绩大于等于80分的学生中随机选取2名,求至少有1名学生的成绩在区间[90,100]内的概率.36.已知椭圆E :x 2a 2+y 2b 2=1(a >b >0)与y 轴的正半轴相交于点M ,点F 1,F 2为椭圆的焦点,且ΔMF 1F 2是边长为2的等边三角形,若直线l:y =kx +2√3与椭圆E 交于不同的两点A,B .(1)直线MA,MB 的斜率之积是否为定值?若是,请求出该定值;若不是,请说明理由;(2)求ΔABM 的面积的最大值.37.设函数f(x)=12x 2−ax −klnx ,(a ∈R,k ∈R).(1)若k =1,且f(x)在区间[1,+∞)上单调递增,求实数a 的取值范围; (2)若a =0且k ≥e ,求证:f(x)在区间(1,√e]上有且仅有一个零点. 38.选修4-4:坐标系与参数方程已知直线l 的参数方程为{x =m +ty =t (t 为参数),以原点O 为极点,以x 轴正半轴为极轴建立极坐标系,曲线C 的极坐标方程为ρ=4√2cos(θ+π4). (1)把曲线C 的极坐标方程化为直角坐标方程,并说明曲线C 的形状; (2)若曲线C 上存在点P 到直线l 的距离为2√2,求实数m 的取值范围. 39.选修4-5:不等式选讲已知函数f(x)=|x +a|,(a ∈R).(1)若a =1,解不等式f(x)+|x −3|≤2x ;(2)若不等式f(x)+|x −1|≥3在R 上恒成立,求实数a 的取值范围.40.已知椭圆M :x 2a 2+y 2b 2=1(a >b >0)的一个顶点坐标为(0,1),离心率为√22,动直线y =x +m 交椭圆M 于不同的两点A,B ,T(1,1).(1)求椭圆M 的标准方程; (2)试问:ΔTAB 的面积是否存在最大值?若存在,求出这个最大值;若不存在,请说明理由.41.设函数f(x)=e x lnx (e 是自然对数的底数). (1)求曲线y =f(x)在点(1,f(1))处的切线方程; (2)令Q(x)=1−2e x ex,证明:当x >0时,f(x)>Q(x)恒成立.42.过双曲线x 2a 2−y 2b 2=1(a >0,b >0)的左焦点F(−c,0)作圆x 2+y 2=a 2的切线,切点为E ,延长FE 交抛物线y 2=4cx 于点P ,O 为坐标原点,若OE ⃗⃗⃗⃗⃗⃗=12(OF⃗⃗⃗⃗⃗⃗+OP ⃗⃗⃗⃗⃗⃗),则双曲线的离心率为( ) A.1+√52B.√52C.1+√32D. √543.设函数f(x)=sinx(cosx −√3sinx).(1)求函数f(x)在[0,π]上的单调递增区间;(2)设ΔABC 的三个角A 、B 、C 所对的边分别为a 、b 、c ,且f(B)=0,a 、b 、√3c 成公差大于零的等差数列,求sinAsinC 的值.44.某市需对某环城快速车道进行限速,为了调研该道路车速情况,于某个时段随机对100辆车的速度进行取样,测量的车速制成如下条形图:经计算:样本的平均值μ=85,标准差σ=2.2,以频率值作为概率的估计值.已知车速过慢与过快都被认为是需矫正速度,现规定车速小于μ−3σ或车速大于μ+2σ是需矫正速度.(1)从该快速车道上所有车辆中任取1个,求该车辆是需矫正速度的概率; (2)从样本中任取2个车辆,求这2个车辆均是需矫正速度的概率;(3)从该快速车道上所有车辆中任取2个,记其中是需矫正速度的个数为ε,求ε的分布列和数学期望.45.已知直角梯形ABCD 中,,,AD DC AD AB CDE ⊥⊥∆是边长为2的等边三角形,5AB =.沿CE 将BCE ∆折起,使B 至'B 处,且'B C DE ⊥;然后再将ADE ∆沿DE 折起,使A 至'A 处,且面'A DE ⊥面CDE ,'B CE ∆和'A DE ∆在面CDE 的同侧.(Ⅰ) 求证:'B C 平面CDE ;(Ⅱ) 求平面''B A D 与平面CDE 所构成的锐二面角的余弦值.46.已知椭圆C 1:x 2a 2+y 2b 2=1(a >b >0)的一个焦点与抛物线C 2:y 2=2px(p >0)的焦点F 重合,且点F 到直线x −y +1=0的距离为√2,C 1与C 2的公共弦长为2√6. (1)求椭圆C 1的方程及点F 的坐标;(2)过点F 的直线l 与C 1交于A,B 两点,与C 2交于C,D 两点,求1|AB|+1|CD|的取值范围. 47.已知函数f(x)=lnx +ax 2+bx(x >0,a ∈R,b ∈R).(1)若曲线y =f(x)在(1,f(1))处的切线方程为x −2y −2=0,求f(x)的极值; (2)若b =1,是否存在a ∈R ,使f(x)的极值大于零?若存在,求出a 的取值范围;若不存在,请说明理由.48.选修4-4:坐标系与参数方程在平面直角坐标系xOy 中,直线l 的参数方程为{x =−2−3t,y =2−4t (t 为参数).它与曲线C:(y −2)2−x 2=1交于A 、B 两点. (1)求|AB|的长;(2)在以O 为极点,x 轴的正半轴为极轴建立极坐标系,设点P 的极坐标为(2√2,3π4),求点P 到线段AB 中点M 的距离. 49.选修4-5:不等式选讲已知实数a,b,c 满足a >0,b >0,c >0,且abc =1. (1)证明:(1+a)(1+b)(1+c)≥8; (2)证明:√a +√b +√c ≤1a +1b +1c .DECB ’A ’DCA BE参考答案1.D【解析】M ={x|−4<x <2}, N ={x/x ≥0} , ∴M ∩N =[0,2).故选D点晴:集合的三要素是:确定性、互异性和无序性.研究一个集合,我们首先要看清楚它的研究对象,是实数还是点的坐标还是其它的一些元素,这是很关键的一步.第二步在求交集时注意区间端点的取舍. 熟练画数轴来解交集、并集和补集的题目. 2.A【解析】由题意,令1+ai 2−i =ti(t ≠0),则1+ai =t +2ti ,则{1=t a =2t 解得{t =1a =2,故选A3.B【解析】设等差数列{a n }的公差为d ,则a 2=1+d ,a 5=1+4d ,因为a 2是a 1和a 5的等比中项,所以a 22=a 1⋅a 5,即(1+d )2=1×(1+4d),所以d(d −2)=0,所以d =0或d =2,故a n =1或a n =2n −1,从而a 7=1或a 7=13.故选B .4.C【解析】由题意得直线l 的方程为y =x −1,易知直线l 过抛物线y 2=4x 的焦点,将直线l 代入抛物线的方程得x 2−6x +1=0,设A(x 1,y 1),B(x 2,y 2)则x 1+x 2=6,所以|AB|=x 1+x 2+2=8. 5.C【解析】根据抽样方法的特点,可知这种抽样既不是分层抽样,也不是系统抽样,故A,B 是错误的,从这5名男职员和5名女职员的测试成绩得不出该公司男职员和女职员的测试成绩的平均数,故D 是错误的,根据公式,可以求得这5名男职员的测试成绩的方差为S 12=8,5名女职员的测试成绩的方差为S 22=6,所以C 正确,故选C . 6.C【解析】c ⃗2=(a ⃗+tb ⃗⃗)2=a ⃗2+2ta ⃗⋅b ⃗⃗+t 2b ⃗⃗2=t 2+√2t +1=(t +√22)2+12≥12,|c ⃗|=√c ⃗2≥√22. 7.B【解析】由题意可知该几何体为锥体,体积为13,故 其底面面积应为1,故选B .8.B【解析】执行程序框图可知, S =1,k =1;S =1+31=4,k =2;S =1+31+32=13,k =3;S =1+31+32=13,k =3;S =1+31+32+33=40,k =4;要使输出的x 的值是8,则恰好k =4时退出循环,所以13<M ≤40,M 的最大值为40.故选B. 9.B【解析】f(x)=2cos(2x +φ)(|φ|<π2)的图象向右平移π6个单位长度后,得到g(x)=2cos(2x +ϕ−π3),其图象关于y 轴对称,则ϕ−π3=kπ,k ∈Z ,所以ϕ=π3+kπ,k ∈Z 又|φ|<π2,所以ϕ=π3,f(x)=2cos(2x +π3).因为x ∈[0,π2],所以π3≤2x +π3≤4π3,所以cos(2x +π3)∈[−1,12],故函数 f(x) 在[0,π2]上的最大值为1,最小值为−2,其和为−1.故选B .10.A【解析】由题意,易知以PA,PB,PC 为棱长的长方体为该球的内接长方体.设PA =PB =x ,PC =y ,则x 2+x 2+y 2=2x 2+y 2=2,可设x =cosθ,y =√2sinθ ,则z =2x +y =2cosθ+√2sinθ=√6sin(ϕ+θ)(tanϕ=√2)所以z 的最大值为√6,故选A . 11.A【解析】由于在线段BF 上(不含端点)有且仅有两个不同的点P i (i =1,2),使得∠A 1P i A 2=π2,说明以A 1A 2为直径的圆与BF 有两个交点.首先要满足a <b ,即e >√2,另外还要满足原点到直线BF:xb +yc =1 (不妨取F 为双曲线的上焦点,B 为右端点)的距离小于半径a ,因为原点到直线BF 的距离为√b 2+c2,则√b 2+c2<a ,整理得b 4<a 2c 2,即e 4−3e 2+1<0,解得e 2<3+√52.综上可知√2<e <√5+12.故选A . 点晴:本题考查的是双曲线的离心率的求法.关键是构建等式和不等式最终确定离心率的求法.分析题意可得出ΔA 1P i A 2(i =1,2)构成以A 1A 2为斜边的直角三角形,结合∠A 1P i A 2=π2求出e >√2再由√b 2+c 2<a 得出e 的关系式,然后进行求解,即可确定e 的取值范围,使问题得解. 12.D【解析】因为x ∈(0,+∞) 故me x x≥6−4x ⇔me x ≥6x −4x 2⇔m ≥6x−4x 2e x令f(x)=6x−4x 2e x,则f′(x)=(6−8x)e x −e x (6x−4x 2)(e x )2=4x 2−14x+6e x=2(2x−1)(x−3)e x故函数f(x)=6x−4x 2e x在(0,12)和(3,+∞)上单调递增,在(12,3)上单调递减,且当x 趋近于+∞时,f(x)趋近于0,故f(x)max =f(12)=3−1e 12=2e−12,故选D.点晴:本题考查的是不等式恒成立问题转化为函数求最值问题.联系x 的取值范围,根据不等式的性质即可将原不等式化为me x ≥6x −4x 2,进而得到不等式m ≥6x−4x 2e x,将问题转化为求解f(x)=6x−4x 2e x的最大值;令f(x)=6x−4x 2e x,根据基本函数的导数值化简得到该函数的导函数,进而由导函数f′(x)的正负值判断该函数的单调区间及单调性,进而明确该函数在区间(0,+∞)的最大值,得到最终答案. 13.A 【解析】 试题分析:要使复数z 对应的点在第四象限应满足:{m +3>0m −1<0,解得−3<m <1,故选A.考点:复数的几何意义.14.D【解析】由题意得,集合N={x|0<x<3},所以M∩N={1,2},故选D。
大连育明高级中学 2016~2017 学年(上)期末考试高三英语试卷命题人:于美红审校人:于秀娟满分150 分时间120 分钟★祝考试顺利★注意事项:1.答卷前:先将自己的姓名、准考证号填写在试卷和答题卡上,并将准考证条码粘贴在答题卡上指定位置.2.选择题,每小题选出答案后,用2B 铅笔把答题卡上对应题目的答案标号涂黑.3.非选择题,用0。
5mm 黑色签字笔写在答题卡上对应的答题区域,写在非答题区域无效。
4.画图清晰,并用2B 铅笔加深.第Ⅰ卷(共100 分)第一部分:听力(共两节,满分30 分)第一节(共5 小题)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。
Where is the man's mother now?A。
At home. B. In a hospital。
C. At a bus stop。
2. Where is the man going first?A。
To the Healey Supermarket. B. To the airport. C。
To Canada。
3. How does the man feel about his job ?A. He enjoys it very much.B. He doesn't care much about it.C。
He hates working late.4.On which days next week will the man have examinations?A.Every day except Thursday。
B。
Monday, Wednesday and Friday。
C.Monday,Tuesday and Friday。
5.What does the woman mean?A.He cannot make a copy because of the copyright。
辽宁省大连市育明高中2013届高三英语第一次模拟考试试题新人教版第Ⅰ卷(共三部分,共115分)注意事项:1.答第Ⅰ卷前,考生务必将自己的姓名、姓名代码、考号、考试科目用2B铅笔涂写在答题卡上。
2.每小题选出答案后,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。
不能答在试题卷上。
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.What’s wrong with Mike?A. He has a headache.B. He has a backache.C. He has a toothache.2.Who is Betty?A. The woman’s student.B. The woman’s daughter.C. The woman’s pet.3.What does the woman need?A. Hot water.B. Bread.C. Hot tea.4.Why does the woman want to drop math?A. It’s not interesting.B. It’s not simple.C. It’s notimportant.5.What are the speakers probably going to do?A. Wait for the next bus.B. Walk to the company.C. Take a taxi.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三个选项中选最佳选项,并标在试卷相应位置。
2017-2018学年辽宁省大连市育明高级中学高二上学期期末考试语 文注意事项:1.答题前,先将自己的姓名、准考证号填写在试题卷和答题卡上,并将准考证号条形码粘贴在答题卡上的指定位置。
2.选择题的作答:每小题选出答案后,用2B 铅笔把答题卡上对应题目的答案标号涂黑,写在试题卷、草稿纸和答题卡上的非答题区域均无效。
3.非选择题的作答:用签字笔直接答在答题卡上对应的答题区域内。
写在试题卷、草稿纸和答题卡上的非答题区域均无效。
4.考试结束后,请将本试题卷第I 卷(选择题)评卷人 得分一、选择题1.下列各句中加点成语的运用,全都正确的一项是( )①在这篇小说中,张爱玲在描写人物的着装、环境的特点,甚至人的一举一动乃至思想活动时,都不胜其烦....地抹上色彩。
②小心谨慎地处理暴露出来的问题总是对的,历史经验一再告诉我们:单凭暴虎冯河....之勇,通常是成事不足,败事有余的。
③直到5月9日成功移植志愿者捐献的心脏为止,美国小伙拉金已经依靠人工心脏生活了555天,这不禁让人感慨科技的一日千里....。
④我市在建设“国家森林城市”的目标指引之下,大力开展植树造林活动,争取早日让更多市民生活在优美恬静的林.下风气...之中。
⑤场上踢得风生水起,场下依旧春风得意...., 克里斯蒂亚诺用属于自己的方式,在这个时代为足球做出着独特的贡献。
⑥领导说:“B 组在本次招标活动中,虽然开始有些不尽如人意,但最终迎头赶上,还是不错的!”面对没想到的不虞之誉....,B 组成员终于放下包袱。
A .①②④ B .②③⑤ C .①③⑥ D .④⑤⑥ 2.下列各句中,没有语病的一句是( )A .中央在提出改正工作作风、密切联系群众的“八项规定”后,各地积极落实,并于近期相继向社会公布了具体实施细则。
B .综观世界各国的企业发展史,你就会发现,一个企业能否获得成功,往往不取决于它的规模和历史,而取决于它的经营理念。
C .针对我国有些地方不惜牺牲环境来发展经济的现象,有关专家指出,我们一定要吸取发达国家有过的经验教训,避免重蹈其覆辙。
2024年辽宁省大连市育明高级中学英语高三上期末联考模拟试题注意事项:1.答题前,考生先将自己的姓名、准考证号填写清楚,将条形码准确粘贴在考生信息条形码粘贴区。
2.选择题必须使用2B铅笔填涂;非选择题必须使用0.5毫米黑色字迹的签字笔书写,字体工整、笔迹清楚。
3.请按照题号顺序在各题目的答题区域内作答,超出答题区域书写的答案无效;在草稿纸、试题卷上答题无效。
4.保持卡面清洁,不要折叠,不要弄破、弄皱,不准使用涂改液、修正带、刮纸刀。
第一部分(共20小题,每小题1.5分,满分30分)1.H ow come? I can’t find my key. I just left it ________ it had been.A.where B.whichC.when D.how2.__________him not to do so, he wouldn’t have made such a serious mistake.A.Did I persuade B.If I persuadeC.If I should persuade D.Had I persuaded3.We have time and again ____our position on Taiwan issue! Whatever happens, we won’t change it!A.explained B.clarified C.introduced D.concluded4.Among the crises that face humans ________ the lack of natural resources.A.is B.are C.is there D.are there 5.—Do you know why the teacher asks for me?—He wants you to ________ your absence last night.A.account for B.call forC.send for D.reach for6.After having some alcohol, drivers tend to speed when passing streets with less people.A.pull up B.put up C.rise up D.pick up7.I need to be more mature and ready to ______ my mistakes.A.hold on to B.cut off C.make up for D.take up8.If you want to see Mr. Johnson on Friday morning, make sure he is ______ ahead of time.A.approachable B.accessible C.available D.convenient9.–Excuse me, sir, didn’t you see the red light?–Sorry, my mind ________ somewhere else.A.has been wandering B.was wanderedC.was wandering D.has been wandered10.The two birds _________ each other in shape and color. In other words, they_________ each other in shape and color.A.differ, are different from B.differ from, are different to C.resemble, are similar to D.resemble, are similar with11.________ from J.K. Rowling’s book series of the same title, the “Harry Potter” movies are universally acknowledged as classics.A.Adapting B.Having adaptedC.Adapted D.To be adapted12.So ________ sometimes in trying to accomplish something big _______ we fail to notice the little things that give life its magic.A.we get caught up; as B.do we get caught up; thatC.caught up get we; as D.caught up do we get; that13.—What’s the recent progress in Xiong’an New Area, first announced two years ago? —It _____ increasing attention from foreign companies given its huge development potential.A.has been attracting B.had attracted C.would be attracting D.was attracting 14.Thanks to Mrs Smith, the father and the son eventually ______after ten years’ cold relationship between them.A.took up B.picked up C.made up D.turned up15.He’s as a “bellyacher”—he’s always complaining about something. A.who is known B.whom is knownC.what is known D.which is known16.Some people are able to multitask well—they can two or more businesses at the same time very well.A.turn to B.relate toC.lead to D.attend to17.________ to her own work,she spent little time with her familyA.Devoting B.To be devotedC.Devoted D.Having devoted18.Our class held a fierce ________ as to whether to reduce the amount of homework or not.A.bargain B.competition C.debate D.campaign19.--- To be a promising student is not an easy job. It takes time.--- I can’t agree more. _______. There is no short cut.A.All roads lead to Rome B.Slow but sure wins the race C.Practice makes perfect D.Rome was not built in a day 20.Taught in a more professional way, you _________ the swimming skill much better. A.might master B.would have masteredC.can have mastered D.could master第二部分阅读理解(满分40分)阅读下列短文,从每题所给的A、B、C、D四个选项中,选出最佳选项。
大连育明高级中学 2016~2017 学年(上)期末考试高三历史试卷(文科)命题人:孙娟注意事项:1.答卷前:先将自己的姓名、准考证号填写在试卷和答题卡上,并将准考证条码粘贴在答题卡上指定位置。
2.选择题,每小题选出答案后,用2B 铅笔把答题卡上对应题目的答案标号涂黑。
3.非选择题,用0.5mm 黑色签字笔写在答题卡上对应的答题区域,写在非答题区域无效。
4.画图清晰,并用2B 铅笔加深。
第Ⅰ卷(共48分)一.选择题(每小题2分,共48分)1. 西周分封制下受封的诸侯对周天子有交纳贡赋的义务。
贡赋可以是马匹、粮食,也可以贡献地方特产、珍鸟奇兽。
材料说明西周A.贡赋的标准并不统一B.具备贵族政治的典型特征C.用血缘解决继承问题D.用经济手段控制地方2. 明朝苏州一位叫谭晓的人,低价购买大量洼地,雇佣百名乡民劳动,低洼为池养鱼,池上筑舍养猪、鸡、鱼食其粪;四周垒高地按地质种果树、蔬菜等,上述生产出卖后,收入是田地生产的三倍。
这种生产经营表明其为A.面向市场的立体化经营农场B.自给自足的庄园经济C.资本主义生产方式的农场D.精耕细作的小农经济3. 以下是张岂之所著《中国历史十五讲》第六讲的部分目录内容,其中空缺的部分最可能是A.燔诗书而明法令B.多元一体的政治制度C.门阀政治的兴起和势微D.部族政权下之考试制度4. 钱穆曾评价:“行省制度,在平时足以障碍地方政事之推进,而增加地方与中央之隔阂;而待一旦中央政权削弱,各行省转易成为反抗中央,分区割据之凭藉。
”他强调这种制度A.使地方权力不再受中央的节制B.有利于维护地方治安稳定C.是中央集权与地方分权的结合D.易于形成地方割据的局面5. 元朝立国,将民间工匠强制征调,为官府服务,编入“匠籍”。
清初宣布废除“匠籍”,工匠在法律上获得了一般民户的地位。
乾隆帝说:“国家兴修工作,雇募人夫,原欲使小民实授价值,以为赡养身家之计”。
这一变化A.打破了官营手工业的垄断地位B.促进了民营手工业发展C.限制了资本主义萌芽的发展D.有利于小农经济的巩固6. 蒙古统治者于 1233 年在燕京设国子学,让蒙古子弟学习汉语、汉文。
大连育明高级中学 2016~2017 学年(上)期末考试高三地理试卷(文科)注意事项:1.答卷前:先将自己的姓名、准考证号填写在试卷和答题卡上,并将准考证条码粘贴在答题卡上指定位置。
2.选择题,每小题选出答案后,用 2B铅笔把答题卡上对应题目的答案标号涂黑。
3.非选择题,用 0.5mm黑色签字笔写在答题卡上对应的答题区域,写在非答题区域无效。
4.画图清晰,并用 2B铅笔加深。
第Ⅰ卷(共45分)一.单项选择题(每小题1.5分,共30道小题,共45分)读下图信息,完成1-2 题。
1.若甲、乙两城市分别使用东八区和西八区区时,在一个太阳日内,两城市同属一天的时间为A.6 小时B.8 小时C.16 小时D.18 小时2.甲城和乙城所在地区气候类型相同,而且该气候在当地分布面积均较小,其原因主要是A.两地大气环流均较弱B.甲乙两处均受寒流影响C.两地均是高原为主的地形D.甲处因海陆分布,乙处因地形影响下图为陆地(用 110° E 代表)与海洋(用 160° E 代表)气压梯度(大陆气压与海洋气压之差,单位:hPa)的时空分布状况。
其中,图甲表示多年平均情况,图乙表示某年情况。
读图完成 3-5 题。
3.图中冬夏数值差异产生的主要原因是A.洋流性质的变化B.气压带、风带的季节移动C.太阳辐射随纬度的变化D.海陆热力性质的差异4.结合图中信息判断,正常年份,北半球冬季风风力最强的地区大致位于A.副热带地区大陆西岸B.50 °N 附近C.中纬度地区D.副热带地区大陆东岸5.图乙与图甲相比较,其变化对我国气候产生的影响是A.冬季风减弱,夏季台风偏多B.冬季气温偏高,夏季气温偏低C.冬季寒潮增多,夏季北旱南涝D.冬季气温偏低,夏季北涝南旱植生滞留槽,又称作“雨水花园”,主要机制包含物理性的入渗、吸附拦阻作用和滞留槽中生物性的反应;另外,植生滞留槽可滞留大量雨水。
目前,植生滞留槽成为建设海绵型城市的新亮点。
大连育明高级中学 2016~2017 学年(上)期末考试
高三英语试卷
满分150分时间120分钟
★祝考试顺利★
注意事项:1.答卷前:先将自己的姓名、准考证号填写在试卷和答题卡上,并将准考证条
码粘贴
在答题卡上指定位置。
2.选择题,每小题选出答案后,用2B 铅笔把答题卡上对应题目的答案标号涂黑。
3.非选择题,用0.5mm 黑色签字笔写在答题卡上对应的答题区域,写在非答题区域无效。
4.画图清晰,并用2B 铅笔加深。
第Ⅰ卷(共100分)
第一部分:听力(共两节,满分 30 分)
第一节(共5小题)
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. Where is the man's mother now?
A. At home.
B. In a hospital.
C. At a bus stop.
2. Where is the man going first?
A. To the Healey Supermarket.
B. To the airport.
C. To Canada.
3. How does the man feel about his job ?
A. He enjoys it very much.
B. He doesn't care much about it.
C. He hates working late.
4.On which days next week will the man have examinations?
A.Every day except Thursday.
B. Monday, Wednesday and Friday.
C.Monday, Tuesday and Friday.
5.What does the woman mean?
A.He cannot make a copy because of the copyright.
B. He can make his copy by himself.
C. He should wait until tomorrow.
第二节(共15小题)
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至8题。
6. Who is the man?
A. A passer by.
B. The car driver.
C. The truck driver.
7.What happened according to the conversation?
A. A car was hit on Highway 204.
B. A truck was burned on Highway 204.
C. The
driver of a truck was badly hurt.
8.How soon will help come?
A. In five minutes.
B. In ten minutes.
C. In fifteen minutes.
听第7段材料,回答第9至11题。
9. What is the possible relationship between the two speakers?
A. Teacher and student.
B. Good friends.
C. Mother and son.
10.What did the boy often do at school?
A.He often stayed after school.
B. He was often late for class.
C.He often fell asleep in class.
11.Which of the following statements is TRUE?
A.The boy prefers to drop out and work.
B.The boy has much interest neither in school nor in work.
C.The boy is discouraged because he hasn't passed the exam.
听第8段材料,回答第12至14题。
12. What's the weather like?
A. Cloudy and warm.
B. Lovely and warm.
C. Fine but cloudy.
13. Where are the speakers?
A. At the station.
B. In a flat.
C. In a p ark.
14. What is the man doing in England?
A. Spending his holiday.
B. Practicing his English.
C. Visiting a Greek family.
听第9段材料,回答第15至17题。
15. What do we know about the woman?
A. She loves cooking very much.
B. She often eats in restaurants.
C.She doesn't like the baked pizza.
16.How long does it take Jean to go to work by bus?
A. About 14 minutes.
B. About 20 minutes.
C. About 45 minutes.
17. How does the man go to work?
A. On foot.
B. By bus.
C. By bike.
听第10段材料,回答第18至20题。