浙江省金丽衢十二校2018届高三第二次联考 英语
高中英语高考2 第二讲 代 词

第二讲代词语法填空【典题试做】1.(2018·全国卷Ⅰ)If you are time poor, you need run for only half the time to get the same benefits as other sports, so perhaps we should all give it/running a try.2.(2018·全国卷Ⅲ)When the gorillas and I frightened each other, I was just glad to find them(they) alive.3.(2017·全国卷Ⅱ)However, the railway quickly proved to be a great success and within six months, more than 25,000 people were using it every day.4.(全国卷Ⅰ)On my recent visit, I held a lively threemonthold twin that had been rejected by its(it) mother.代词在语法填空中的考查点主要为人称代词、物主代词、反身代词等在语境中的运用。
不定代词偶尔也会涉及。
短文改错【典题试做】1.(2019·全国卷Ⅲ)In the cafe, customers will enjoy yourselves in the historical environment that/which is created for them. yourselves→themselves2.(2018·全国卷Ⅰ)The first time I went there, they were living in a small house with dogs, ducks, and another animals. another→other3.(2018·全国卷Ⅱ)They would say to us that playing card games would help my brain. us→me4.(2018·全国卷Ⅲ)I had done myself homework, but I was shy. myself→my/the5.(2017·全国卷Ⅱ)Mr.and Mrs.Zhang all work in our school. all→both或删除all6.(2017·全国卷Ⅲ)About one month after this photo was taken, I entered my second year of high school...This picture often brings back to me many happy memories of your high school days. __your→my1.代词单复数的错用;2.人称代词与物主代词的错用;3.不定代词的错用;4.代词与其所指代的对象不符。
浙江省金丽衢十二校2024学年高三最后一卷英语试卷(含解析)

浙江省金丽衢十二校2024学年高三最后一卷英语试卷注意事项1.考生要认真填写考场号和座位序号。
2.试题所有答案必须填涂或书写在答题卡上,在试卷上作答无效。
第一部分必须用2B 铅笔作答;第二部分必须用黑色字迹的签字笔作答。
3.考试结束后,考生须将试卷和答题卡放在桌面上,待监考员收回。
第一部分(共20小题,每小题1.5分,满分30分)1.—Are you coming to Jeff’s party?—I’m not sure. I ______ go to the concert inste ad.A.must B.wouldC.should D.might2.The real reason why prices ____ , and still are, too high is complex, and no short discussion can satisfactorily explain this problem.A.were B.will beC.have been D.had been3.---May I help you?You seem to be having some trouble.----____________,thanks. I think I can manage.A.No problem B.It's all rightC.ok D.No way4.I ______ football since I left university.A.didn’t play B.don’t playC.won’t play D.haven’t played5.The teacher told the children ______ quiet in the museum.A.keep B.kept C.keeping D.to keep6.Which do you prefer, tea or coffee?—_______. I really don’t mind.A.Both B.None C.Neither D.Either7.________ well for my job interview, I really had butterflies in my stomach on my way to the company I had applied to.A.Having not prepared B.Not having preparedC.Not to have prepared D.To have not prepared8.—Which do you prefer, the former option or the latter one?—I think the former one is no better than the latter one. So I’ll choose ________.A.the former one B.the latter oneC.either of them D.neither of them9.No decision __A_ about any future appointment until all the candidates have been interviewed.A.will be made B.is madeC.is being made D.has been made10.Even a small personal computer store vast amounts of information.A.might B.canC.ought to D.has to11.The health of garden plants depends on the soil _____ --the proper balance of mineral pieces, organic matter, air and water.A.construction B.conservationC.corporation D.composition.12.I'm sorry you ______ so long, but it' ll still be some time before Jim gets back.A.wait B.waited C.had waited D.have been waiting13.--- Could we accomplish the task according to the schedule?--- I doubt that. The problem remains ______ we can get financial aid within this week.A.that B.how C.why D.when14.Look over there! There is a long, winding path ________ up to the house.A.lead B.leadingC.led D.to lead15.—The lecture about 3D technology was very interesting.—It’s a pity. How I wish I ________ time to attend it.A.had B.have C.had had D.have had16.U.S. President Barack Obama arrived in China’s economic center Shanghai on Sunday night, November 15th2009, ______a state visit to China.A.starting B.started C.to start D.having started17.________ back in his chair, the man began to tell us his adventures in the forests.A.Sit B.Sitting C.To sit D.Sat18._____ the lawyers, volunteers from the Libyan Red Cross Society also joined the efforts in helping the Chinese go home safely.A.Except for B.In spite of C.Apart from D.Instead of19.Lisa wouldn’t ________ the job any more. She had a big argument with her boss and resigned.A.come up with B.keep up withC.make up with D.put up with20.If I _____it w ith my own eyes ,I wouldn’t have believed it.A.didn’t see B.weren’t seeingC.wouldn’t see D.hadn’t seen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。
(完整版)2018全国高考新课标2卷英语及答案解析

绝密★启用前2018年普通高等学校招生全国统一考试英语(考试时间:注意事项:1. 答卷前,考生务必将自己的姓名、准考证号填写在答题卡上。
2. 作答时,务必将答案写在答题卡上,写在本试卷及草稿纸上无效.3. 考试结束后,将本试卷和答题卡一并交回.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短对话,每段对话后有一个小题,从题中给的A、B、C三个选项中选出最佳选项。
听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
例:How much is the shirt?A.£19。
15。
B。
£9。
18. C。
£9。
15。
1。
What does John find difficult in learning German?A。
Pronunciation。
B.Vocabulary。
C.Grammar.2。
What is the probable relationship between the speakers?A。
Colleagues。
B.Brother and sister。
C。
Teacher and student.3.Where does the conversation probably take place?A。
In a bank. B. At a ticket office. C。
On a train.4。
What are the speakers talking about?A。
A restaurant。
B.A street. C。
A dish。
5.What does the woman think of her interview?A。
It was tough. B。
It was interesting。
C。
It was successful。
2018版高考英语二轮(浙江专用)教师用书:第1部分 专题4 重点3 从句引导词

on the paper clearly.Hanging out of the window was my husband,beside whom was
my lovely daughter.That's when I started laughing.Moved by them,I laughed so hard that I cried.Although/Though I had made great efforts to run away from home,the man who loved me managed to find me.
构。
so/such...that...。
9.The students should do the experiments as they were told.
as 引导方式状语从句, 方式状语从句的引导
表示“按照,像……一
词主要是 as。 样”。
[语篇填空]
用适当的从句引导词填空
It was late one morning.I don't remember what it was about,but my husband and I had a heated argument.I threw a few things in a small suitcase and left home,not knowing where I was going.After driving in circles for several minutes,I stopped at a shop to buy something.At that time,my daughter called me
引导词在主语从句中作主 语且指人,应用 who。
浙江高考英语百日训练之书面表达续写(24)含答案解析

浙江高考英语百日训练之书面表达续写(24)含答案解析【题文】A Simple ThankI have been in the teaching profession more than thirty years, and one of the best teachers I have ever known was Mr. Rowe. I was lucky enough to co-teach fourth grade with him.Mr. Rowe had infinite patience and understanding and I learned so much from watching him. He could perform miracles, like the one her performed with Steven, one of the unhappiest kids I ever saw. Steven couldn’t stand school. He didn’t like being picked last for kickball. He didn’t li ke the kids who raised their hands and knew all the answers, and most importantly, he didn’t like himself.The first day he walked into Mr. Rowe’s classroom, he ignored the other students, looking angry and annoyed, and slid into his chair, knocking a couple of textbook onto the floor.Mr. Rowe walked over to him and touched Steven’s shoulder, but Steven pulled away. Nevertheless, Mr. Rowe welcomed him: “Hi, Steven. I’m happy you are in my class. We are gonna have a great year.” Steven looked around the room as if Mr. Rowe must be mistaken. No teacher in his right mind would want Steven to be part of his classroom.So, while Mr. Rowe seemed cheerful and relaxed that day of school, it seemed like Steven was angry and confused.That day after classes, Mr. Rowe chose Steven to pitch the kickball at recess. “Hey, Steven,” Mr. Rowe commented, “You are good at pitching. Let me show you my secret trick.” Mr. Rowe taught Steven one of the tricks that not a single kid could perform. Steven learned fast and did quite well! Everyone cheered for him!After the kickball, Steven sat as closer to Mr. Rowe in classes as he could. When a question was asked, Steven lit up; he knew the answer! He raised his hands. When he answered the question, his voice shook. However, he got the answer right! He said, with Mr. Rowe , his days of the fourth grade promised wonderful.That is not to say that every day went smoothly, but it was evident that Steven grew to love Mr. Rowe more and more with each passing day.注意:1.所续写短文的词数应为150左右;2.至少使用5个短文中标有下划线的关键词语;3.续写部分分为两段,每段的开头语已为你写好;4.续写完成后,请用下划线标出你所使用的关键词语。
浙江省2024届高三上学期第二次联考(10月)英语试卷(含答案)

浙江省2024届高三上学期第二次联考(10月)英语试卷学校:___________姓名:___________班级:___________考号:___________一、听力题1、Why didn't the woman sleep well last night?A. There was a dog barking.B. There was some loud music.C. There were some birds singing.2、What is the man doing?A. Driving a car.B. Checking a map.C. Pointing the directions.3、What does the woman mean in the end?A. The man is the only one to take the subway.B. The train is unreliable on rainy days.C. The man made a poor excuse.4、Where does the conversation probably take place?A. In a car shop.B. At a garage.C. At a car park.5、What are the speakers mainly talking about?A. A budget.B. An event.C. The boss.听下面一段材料,回答下列各题。
6、What are the speakers discussing?A. When to get full prepared.B. When to meet the accountant.C. When to visit a customer.7、What will the woman do at 2:30 p. m.?A. Attend an appointment.B. Talk with the accountant.C. Meet the man.听下面一段材料,回答下列各题。
2018年高考浙江卷英语真题及答案

2018年普通高等学校招生全国统一考试(浙江卷)英语第二部分阅读理解(共两节,满分35分)第一节(共10小题;每小题2.5分,满分25分)阅读下列短文,从每题所给的A、B、C和D四个选项中,选出最佳选项,并在答题纸上将该项涂黑。
AIn 1812, the year Charles Dickens was born, there were 66 novels published in Britain. People had been writing novels for a century—most experts date the first novel to Robinson Crusoe in 1719—but nobody wanted to do it professionally. The steam-powered printing press was still in its early stages; the literacy(识字) rate in England was under 50%. Many works of fiction appeared without the names of the authors, often with something like “By a lady.”Novels, for the most part, were looked upon as silly, immoral, or just plain bad.In 1870, when Dickens died, the world mourned him as itsfirst professional writer and publisher, famous and beloved, who had led an explosion in both the publication of novels and their readership and whose characters —from Oliver Twist to Tiny Tim— were held up as moral touchstones. Today Dickens’ greatness is unchallenged. Removing him from the pantheon(名人堂) of English literature would make about as much sense as the Louvre selling off the Mona Lisa.How did Dickens get to the top? For all the feelings readers attach to stories, literature is a numbers game, and the test of time is extremely difficult to pass. Some 60,000 novels were published during the Victorian age, from 1837 to1901; today a casual reader might be able to name a half-dozen of them. It’s partly true that Dickens’style of writing attracted audiencesfrom all walks of life. It’s partly that his writings rode a wave of social, political and scientific progress. But it’s also that he rewrote the culture of literature and put himself at the center. No one will ever know what mix of talent, ambition, energy and luck made Dickens such a singular writer. But as the 200th anniversary of his birthapproaches, it is possible —and important for our own culture—to understand how he made himself a lasting one. 21. Which of the following best describes British novels in the 18th century?A. They were difficult to understand.B. They were popular among the rich.C. They were seen as nearly worthless.D. They were written mostly by women.22. Dickens is compared with the Mona Lisa in the text to stress________.A. his reputation in FranceB. his interest in modern artC. his success in publicationD. his importance in literature23. What is the author’s purpose in writing the text?A. To remember a great writer.B. To introduce an English novel.C. To encourage studies on culture.D. To promote values of the Victorian age.BSteven Stein likes to follow garbage trucks. His strange habit makes sense when you consider that he’s an environmental scientist who studies how to reduce litter, including things that fall off garbage trucks as they drive down the road. What is even more interesting is that one of Stein's jobs is defending an industry behind the plastic shopping bags.Americans use more than 100 billion thin film plastic bags every year. So many end up in tree branches or along highways that a growing number of cities do not allow them at checkouts(收银台) . The bags are prohibited in some 90 cities in California, including Los Angeles. Eyeing these headwinds, plastic-bag makers are hiring scientists like Stein to make the case that their products are not as bad for the planet as most people assume.Among the bag makers' argument: many cities with bans still allow shoppers to purchase paper bags, which are easily recycled but require more energy to produce and transport. And while plastic bags may be ugly to look at,they represent a small percentage of all garbage on the ground today.z.x.xkThe industry has also taken aim at the product that has appeared as its replacement: reusable shopping bags. The stronger a reusable bag is, the longer its life and the more plastic-bag use it cancels out. However, longer-lasting reusable bags often require more energy to make. One study found that a cotton bag must be used at least 131 times to be better for the planet than plastic.Environmentalists don't dispute(质疑) these points. They hope paper bags will be banned someday too and want shoppers to use the same reusable bags for years.24. What has Steven Stein been hired to do?A. Help increase grocery sales.B. Recycle the waste material.C. Stop things falling off trucks.D. Argue for the use of plastic bags.25. What does the word “headwinds”in paragraph 2 refer to?A. Bans on plastic bags.B. Effects of city development.C. Headaches caused by garbage.D. Plastic bags hung in trees.26. What is a disadvantage of reusable bags according to plastic-bag makers?A. They are quite expensive.B. Replacing them can be difficult.C. They are less strong than plastic bags.D. Producing them requires more energy.27. What is the best title for the text?A. Plastic, Paper or NeitherB. Industry, Pollution and EnvironmentC. Recycle or Throw AwayD. Garbage Collection and Waste ControlCAs cultural symbols go, the American car is quite young.The Model T Ford was built at the Piquette Plant in Michigan a century ago, with the first rolling off the assembly line (装配线)on September 27, 1908. Only eleven cars were produced the next month. But eventually Henry Ford would build fifteen million of them.Modern America was born on the road, behind a wheel. The car shaped some of the most lasting aspects of American culture: the roadside diner, the billboard, the motel, even the hamburger. For most of the last century, the car represented what it meant to be American—going forward at high speed to find new worlds. The road novel, the road movie, these are the most typical American ideas, born of abundant petrol, cheap cars and a never-ending interstate highway system, the largest public works project in history.In 1928 Herbert Hoover imagined an America with “a chicken in every pot and a car in every garage.” Since then, this society has moved onward, never looking back, as the car transformed America from a farm-based society into an industrial power.zxx.kThe cars that drove the American Dream have helped to create a global ecological disaster. In America the demandfor oil has grown by 22 percent since 1990.The problems of excessive(过度的)energy consumption, climate change and population growth have been described in a book by the American writer Thomas L. Friedman. He fears the worst, but hopes for the best.Friedman points out that the green economy(经济)is a chance to keep American strength. “The ability to design, build and export green technologies for producing clean water, clean air and healthy and abundant food is going to be the currency of power in the new century.”28. Why is hamburger mentioned in paragraph 2?A. To explain Americans’ love for travelling by car.B. To show the influence of cars on American culture.C. To stress the popularity of fast food with Americans.D. To praise the effectiveness of America’s road system.29. What has the use of cars in America led to?A. Decline of economy.B. Environmental problems.C. A shortage of oil supply.D. A farm-based society.30. What is Friedman’s attitude towards America’s future?A. Ambiguous.B. Doubtful.C. Hopeful.D. Tolerant.第二节(共5小题;每小题2分,满分10分)根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。
浙江省金丽衢十二校2018-2019学年高三数学第二次联考试卷

浙江省金丽衢十二校2018-2019学年高三数学第二次联考试卷一、单选题 (共10题;共10分)1.(1分)集合A={x|x2−2x>0},B={x}−3<x<3},则()A.B.C.D.2.(1分)点F1和F2是双曲线y2−x23=1的两个焦点,则|F1F2|=()A.B.2C.D.43.(1分)复数z1=2−i,z2=3+i,则|z1⋅z2|=()A.5B.6C.7D.4.(1分)某几何体的三视图如图所示(图中单位:cm),则该几何体的表面积为()A.B.C.D.5.(1分)已知直线l⊥平面α,直线m∥平面β,则“ α∥β”是“ l⊥m”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6.(1分)甲和乙两人独立的从五门选修课课程中任选三门进行学习,记两人所选课程相同的门数为ξ,则E(ξ)为()A.1.2B.1.5C.1.8D.27.(1分)函数f(x)=lnx8−x的图像大致为()A.B.C.D.8.(1分)已知a⇀,b⇀,c⇀和d⇀为空间中的4个单位向量,且a⇀+b⇀+c⇀=0,则|a⇀−d⇀|+|b⇀−d⇀|+|c⇀−d⇀|不可能等于()A.3B.C.4D.9.(1分)正三棱锥P−ABC的底面边长为1cm,高为ℎcm,它在六条棱处的六个二面角(侧面与侧面或者侧面与底面)之和记为θ,则在ℎ从小到大的变化过程中,θ的变化情况是()A.一直增大B.一直减小C.先增大后减小D.先减小后增大10.(1分)数列{a n}满足:a1=1,a n+1=a n+1an,则a2018的值所在区间为()A.B.C.D.二、填空题 (共7题;共11分)11.(2分)《九章算术》第七章“盈不足”中第一题:“今有共买物,人出八,盈三钱;人出七,不足四,问人数物价各几何?”借用我们现在的说法可以表述为:有几个人合买一件物品,每人出8元,则付完钱后还多3元;若每人出7元,则还差4元才够付款.问他们的人数和物品价格?答:一共有人;所合买的物品价格为元.12.(2分)(1−2x)5展开式中x3的系数为;所有项的系数和为.13.(2分)若实数x,y满足约束条件{x+y≥1,x+2y≤2,x≤1,则目标函数Z=2x+3y的最小值为;最大值为.14.(2分)在ΔABC中,角A,B和C所对的边长为a,b和c,面积为13(a2+c2−b2),且∠C为钝角,则tanB=;ca的取值范围是.15.(1分)安排3名支教老师去6所学校任教,每校至多2人,则不同的分配方案共有种.(用数字作答)16.(1分)定义在R上的偶函数f(x)满足:当x>0时有f(x+4)=13f(x),且当0≤x≤4时,f(x)=3|x−3|,若方程f(x)−mx=0恰有三个实根,则m的取值范围是.17.(1分)过点P(1,1)的直线l与椭圆x24+y23=1交于点A和B,且AP⇀=λPB⇀.点Q满足AQ⇀=−λQB⇀,若O为坐标原点,则|OQ|的最小值为.三、解答题 (共5题;共10分)18.(2分)已知函数f(x)=sin2x+√3sinxsin(x+π2 ).(1)(1分)求f(x)的最小正周期;(2)(1分)求函数f(x)在区间[0,23π]上的取值范围.19.(1分)在三棱拄ABC−A1B1C1中,AB⊥侧面BB1C1C,已知BC=1,∠BCC1=π3,AB=C1C=2.(Ⅰ)求证:C1B⊥平面ABC;(Ⅱ)试在棱C1C(不包含端点C,C1)上确定一点E的位置,使得EA⊥EB1;(Ⅲ)在(Ⅱ)的条件下,求AE和平面ABC所成角正弦值的大小.20.(2分)数列{a n}的前n项和为S n,a1=1,对任意n∈N∗,有a n+1=2S n+1.(1)(1分)求数列{a n}的通项公式;(2)(1分)若b n=a n+1a n,求数列{log3b n}的前n项和T n.21.(2分)已知抛物线E:y=ax2(a>0)内有一点P(1,3),过P的两条直线l1,l2分别与抛物线E交于A,C和B,D两点,且满足AP⇀=λPC⇀,BP⇀=λPD⇀(λ>0,λ≠1),已知线段AB的中点为M,直线AB的斜率为k.(1)(1分)求证:点M的横坐标为定值;(2)(1分)如果k=2,点M的纵坐标小于3,求ΔPAB的面积的最大值.n(n−lnx),其中n∈N∗,x∈(0,+∞).22.(3分)函数f(x)=√x(1)(1分)若n为定值,求f(x)的最大值;(2)(1分)求证:对任意m∈N∗,有ln1+ln2+ln3+⋯ln(m+1)>2(√m+1−1)2;(3)(1分)若n=2,lna≥1,求证:对任意k>0,直线y=−kx+a与曲线y= f(x)有唯一公共点.答案解析部分1.【答案】B【解析】【解答】解:A={x|x<0,或x>2},B={x|﹣3<x<3};∴A∩B={x|﹣3<x<0,或2<x<3},A∪B=R;∵A∩B≠A,且A∩B≠B,∴B⊈A,A⊈B;即B符合题意.故答案为:B.【分析】通过解不等式求出集合A,根据集合的关系逐一判断即可. 2.【答案】D【解析】【解答】由y2−x 23=1可知a2=1,b2=3所以c2=a2+b2=4,则c=2,2c=4,所以|F1F2|=2c=4.故答案为:D【分析】根据双曲线的标准方程,得到两个焦点坐标,即可求出线段的长度.3.【答案】D【解析】【解答】因为|z1|=|2−i|=√5,|z2|=|3+i|=√10,所以|z1⋅z2|=|z1|⋅|z2|=√5×√10=5√2故答案为:D.【分析】根据复数的乘法运算,得到z1·z2,结合复数的模运算即可求出相应的值.4.【答案】B【解析】【解答】由三视图可知,该几何体的直观图为一个竖立的圆锥和一个倒立的圆锥组成,其表面积为S=2πrl=2×π×1×√2=2√2π,故答案为:B.【分析】根据三视图确定几何体的结构特征,即可求出几何体的表面积.5.【答案】A【解析】【解答】根据已知题意,由于直线l⊥平面α,直线m∥平面β,如果两个平面平行α//β,则必然能满足l⊥m,但是反之,如果l⊥m,则对于平面可能是相交的,故条件能推出结论,但是结论不能推出条件,故答案为:A【分析】根据直线与平面的位置关系,即可确定充分、必要性.6.【答案】C【解析】【解答】由已知得ξ=1,2,3,P(ξ=1)=C53C31C53C53=310, P(ξ=2)=C53C32C21C53C53=35, P(ξ=3)=C53C53C53=110,所以E(ξ)=1×310+2×610+3×110=1.8,故答案为:C【分析】求出随机变量的可能取值及相应的概率,即可求出数学期望. 7.【答案】A【解析】【解答】函数定义域为(0,8),当x→0时,x8−x→0,lnx8−x→−∞,故排除B,D,当x→8时,x8−x→+∞,lnx8−x→+∞,故排除C,故答案为:A.【分析】根据函数的定义域及函数值的变化情况,逐一排除,即可确定函数的大致图象.8.【答案】A【解析】【解答】因为|a⇀−d⇀|+|b⇀−d⇀|+|c⇀−d⇀|≥|a⇀−d⇀+b⇀−d⇀+c⇀−d⇀|=|a⇀+b⇀+c⇀−3d⇀|而a⇀+b⇀+c⇀=0,所以|a⇀−d⇀|+|b⇀−d⇀|+|c⇀−d⇀|≥|−3d⇀|=3因为a⇀,b⇀,c⇀,d⇀是单位向量,且a⇀+b⇀+c⇀=0,所以a⇀−d⇀,b⇀−d⇀,c⇀−d⇀不共线,所以|a⇀−d⇀|+|b⇀−d⇀|+|c⇀−d⇀|>3,故答案为:A.【分析】根据向量的关系,求出|a⇀−d⇀|+|b⇀−d⇀|+|c⇀−d⇀|的最小值,即可确定|a⇀−d⇀|+|b⇀−d⇀|+ |c⇀−d⇀|不可能的取值.9.【答案】D【解析】【解答】当ℎ→0+(比0多一点点),有θ→θ1=3π;当ℎ→+∞,有θ→θ3=5π2;当ℎ刚好使得正三棱锥变为正四面体时,二面角之和记为θ2,则cosθ26=3+3−42×3=13,于是cos θ23=2×(13)2−1=−79>−√32,所以θ23<5π6,即θ2<5π2,所以与θ的变化情况相符合的只有选项D.故答案为:D【分析】根据几何体的结构特征,求出角的余弦值,即可得到角的变化情况. 10.【答案】A【解析】【解答】因为a1=1,所以a n+12=a n2+2+1a n2≤a n2+3an+12≤an2+3≤an−12+3+3…可得:a n+12<a12+3n所以a2018<√a12+3×2017<√10000=100.故答案为:A【分析】根据递推关系式得到数列项之间的关系,解不等式即可确定a2018的值所在区间.11.【答案】7;53【解析】【解答】设共有x人,由题意知8x−3=7x+4,解得x=7,可知商品价格为53元.即共有7人,商品价格为53元.【分析】设共有x人,通过解方程即可求出共有人数和商品价格.12.【答案】-80;-1【解析】【解答】因为T r+1=C5r(−2)r x r,令r=3,T4=−80x3,所以x3的系数为-80,设(1−2x)5=a0+a1x+⋯+a5x5,令x=1,则a0+a1…+a5=−1,所以所有项的系数和为-1.【分析】写出二项展开式的通项,即可求出特定项的系数及所有项的系数之和. 13.【答案】2;【解析】【解答】作出可行域如下:由Z=2x+3y可得y=−23x+z,作出直线y=−23x,平移直线过B(1,0)时,z有最小值z=2+0=2,平移直线过A(1,12)时,z有最大值z=2×1+3×12=72.【分析】作出可行域及目标函数相应的直线,平移该直线即可求出目标函数的最大值和最小值.14.【答案】;【解析】【解答】因为S=12acsinB=13(a2+c2−b2),所以34sinB=a2+c2−b22ac=cosB即tanB=43,因为∠C为钝角,所以sinB=45,cosB=35,由正弦定理知ca=sinCsinA=sin(B+A)sinA=cosB+sinBcosAsinA=35+45cotA因为∠C为钝角,所以A+B<π2,即A<π2−B所以cotA>cot(π2−B)=tanB=43所以ca>35+45×43=53,即ca的取值范围是(53,+∞).【分析】通过面积公式及正弦定理,确定三角形边和角的关系,即可求出相应的值和取值范围. 15.【答案】210【解析】【解答】分两类,(1)每校1人:A63=120;(2)1校1人,1校2人:C32A62=90,不同的分配方案共有120+90=210.故答案为:210【分析】根据加法原理和乘法原理,即可确定不同的分配方案种数.16.【答案】【解析】【解答】因为当0≤x≤4时,f(x)=3|x−3|,设4≤x≤8,则0≤x−4≤4,所以f(x−4)=3|x−4−3|=3|x−7|,又f(x+4)=13f(x),所以f(x)=13f(x−4)=|x−7|,可作出函数y=f(x)在x∈[0,8]上的图象,又函数为偶函数,可得函数在[−8,8]的图象,同时作出直线y=mx,如图:方程f(x)−mx=0恰有三个实根即y=f(x)与y=mx图象有三个交点,当m>0时,由图象可知,当直线y=mx过(8,1),即m=18时有4个交点,当直线y=mx过(4,3),即m=34时有2个交点,当18<m<34时有3个交点,同理可得当m<0时,满足−34<m<−18时,直线y=mx与y=f(x)有3个交点.故填(−34,−18)∪(18,34).【分析】通过函数的性质,作出函数的图象,数形结合即可求出实数m的取值范围. 17.【答案】【解析】【解答】设A(x1,y1),B(x2,y2),Q(m,n)则{x1+λx2=1+λ,x1−λx2=m(1−λ),于是x12−(λx2)2=m(1−λ2),同理y12−(λy2)2=n(1−λ2),于是我们可以得到(x124+y123)+λ2(x224+y223)=(1+λ2)(m4+n3).即m4+n3=1,所以Q点的轨迹是直线,|OQ|min即为原点到直线的距离,所以|OQ|min=1√116+19=125【分析】设出点A 和B 的坐标,根据向量的关系,确定Q 的轨迹是直线,即可求出线段长度的最小值.18.【答案】(1)解: f(x)=sin 2x +√3sinxsin(2x +π2)=1−cos2x 2+√32sin2x =sin(2x −π6)+12所以 T =π(2)解:由 −π2+2kπ≤2x −π6≤π2+2kπ 得 −π6+kπ≤x ≤π3+kπ,k ∈z 所以函数 f(x) 的单调递增区间是 [−π6+kπ,π3+kπ],k ∈z . 由 x ∈[0,2π3] 得 2x −π6∈[−π6,76π] ,所以 sin(2x −π6)∈[−12,1]所以 f(x)∈[0,32] .【解析】【分析】(1)根据正弦和余弦的二倍角公式,结合辅助角公式,得到函数的表达式,即可求出函数的最小正周期;(2)根据正弦函数的单调性,确定函数f (x )的单调区间,即可求出函数f (x )的取值范围.19.【答案】解:(Ⅰ)因为 BC =1 , ∠BCC 1=π3 , C 1C =2 ,所以 BC 1=√3 ,BC 2+BC 12=CC 12 ,所以 BC 1⊥BC 因为 AB ⊥ 侧面 BB 1C 1C , BC 1⊂ 平面 BB 1C 1C ,所以 BC 1⊥AB ,又 BC ∩AB =B , 所以, C 1B ⊥ 平面 ABC(Ⅱ)取 C 1C 的中点 E ,连接 BE , BC =CE =1 , ∠BCC 1=π3 ,等边 ΔBEB 1 中, ∠BEC =π3同理, B 1C 1=C 1E 1=1 , ∠B 1C E 1=2π3,所以 ∠B 1EC 1=π6 ,可得 ∠BEB 1=π2 ,所以EB 1⊥EB因为 AB ⊥ 侧面 BB 1C 1C , EB 1⊂ 平面 BB 1C 1C ,所以 EB 1⊥AB ,且 EB ∩AB =B ,所以 B 1E ⊥ 平面 ABE ,所以;(Ⅲ) AB ⊥ 侧面 BB 1C 1C , AB ⊂ 平面,得平面 BCC 1B 1⊥ 平面 ABC 1 , 过 E 做 BC 1 的垂线交 BC 1 于 F , EF ⊥ 平面 ABC 1连接AF,则∠EAF为所求,因为BC⊥BC1,EF⊥BC1,所以BC∥EF,E为CC1的中点得F为C1B的中点,EF=12,由(2)知AE=√5,所以sin∠EAF=12√5=√510【解析】【分析】根据线面垂直的判定定理,证明直线与平面内两条相交直线垂直即可;(2)根据线面垂直的定义,证明直线与平面垂直,即可说明直线与平面内任何一条直线垂直;(3)通过作垂线得到直线与平面所成的角,通过解三角形求出线面所成角的正弦即可. 20.【答案】(1)解:由a n+1=2S n+1知a n=2S n−1+1(n≥2)两式相减得:a n+1=3a n(n≥2)又a2=2s1+1=2a1+1=3,所以a2a1=3也成立,故a n+1=3a n,n∈N∗即数列{a n}是以1为首项,3为公比的等比数列,所以a n=3n−1(n∈N∗).(2)解:因为log3b n=log3a n+1an=3n−1log33n=n⋅3n−1,所以T n=1×30+2×31+3×32+⋯+n⋅3n−13T n=1×31+2×32+3×33+⋯+(n−1)⋅3n−1+n⋅3n两式相减得:−2Tn =(12−n)⋅3n−12,所以T n=(n2−14)3n+14.【解析】【分析】(1)根据等比数列的定义确定数列{a n}是以1为首项,3为公比的等比数列,即可求出的通项公式;(2)根据对数恒等式,结合错位相消求和法,即可求出前n项和T n.21.【答案】(1)证明:设CD中点为N,则由AP⇀=λPC⇀,BP⇀=λPD⇀可推得AB⇀=λDC⇀,MP⇀=λPN⇀,这说明AB⇀∥CD⇀,且M,P和N三点共线.对A,B使用点差法,可得y A−y B=a(x A−x B)(x A+x B),即k AB=2a⋅x M.同理k CD=2a⋅x N.于是x M=x N,即MN⊥x轴,所以x M=x P=1为定值.(2)解:由k=2得到a=1,设y M=t∈(1,3),|PM|=3−t,联立{y=x2,y−t=2(x−1),得x2−2x+2−t=0,所以|x A−x B|=2√t−1, |AB|=√1+k2|x A−x B|=√5⋅2√t−1,根据点到直线的距离公式知P到AB的距离为d=|t−3|√5,于是SΔPAB=(3−t)√t−1,令x= √t−1,x∈(0,2),则S=−x3+2x,S′=−3x2+2,令S′=0得x=√63,当x∈(0,√63)时,S′>0,函数为增函数,当x∈(√63,2)时,S′<0,函数为减函数,故当x=√63,即t=53时,SΔPAB有最大值4√69.【解析】【分析】(1)根据向量之间的关系,采用点差法,即可确定点M的坐标为定值;(2)根据点斜式写出直线方程,将直线方程与抛物线方程联立,通过弦长公式和点到直线的距离,表示出三角形的面积,求导数,利用导数研究函数的单调性,即可求出三角形面积的最大值.22.【答案】(1)解:n为定值,故f′(x)=1n x 1n−1(n−lnx)+√xn(−1x)=−√xn lnxx(x>0),令f′(x)=0,得x=1,当0<x<1时,f′(x)>0,当x>1时,f′(x)<0,所以函数在(0,1)上单调递增,在(1,+∞)上单调递减,所以当x=1时,函数有极大值f(1),也是最大值,所以f(x)max=f(1)=n.(2)解:由前一问可知lnx≥n−n√xn,取n=2得lnx≥2−2√x,于是∑m+1 i=1lni≥∑(2−2i)m+1i=2>2m−4∑m+1i=21√i+√i−1=2m−4∑(√i−√i−1)m+1i=2=2m−4√m+1+4=2(√m+1−1)2.(3)解:要证明当a≥e,k>0时,关于x的方程√x(2−lnx)=−kx+a有唯一解,令t=√x,即证明g(t)=kt2+2t−2tlnt−a有唯一零点,先证明g(t)存在零点,再利用导数得函数单调性,极值确定函数只有唯一零点.我们先证三个引理【引理1】x(1−lnx)≤1(由第1问取n=1即可)【引理2】lnx≥1−1x(由【引理1】变形得到)【引理3】lnx≤x−1(可直接证明也可由【引理2推出】证明:lnx=−ln 1x≤−(1−11x)=x−1.下面我们先证明函数g(t)存在零点,先由【引理2】得到:g(t)≤kt2+2t−2t(1−1t)−a=kt2+2−a.令t=√a−2k,可知g(t)≤0.再由【引理3】得到lnx<x,于是g(t)=t(kt−4ln√t)+(2t−a)>t√t(k√t−4)(2t−a).令t>16k2,且t>a2,可知g(t)>0.由连续性可知该函数一定存在零点.下面我们开始证明函数g(t)最多只能有一个零点.我们有g′(t)=2kt−2lnt=2t(k−lnt t).令ℎ(t)=lntt ,则ℎ′(t)=1−lntt2,则ℎ(t)在(0,e)递增,在(e,+∞)递减,即ℎ(t)max=1e.当k≥1e时,有g′(t)≥0恒成立,g(t)在(0,+∞)上递增,所以最多一个零点.当0<k<1e时,令g′(t1)=g′(t2)=0,t1<e<t2,即lnt1=kt1,于是g(t1)=t1lnt1+2t1−2t1lnt1−a=t1(2−lnt1)−a.再令t1=eT(0<T<1),由【引理1】可以得到g(t1)=eT(1−lnT)−a<e×1−a≤0.因此函数g(t)在(0,t1)递增,(t1,t2)递减,(t2,+∞)递增,t=t1时,g(t)有极大值但其极大值g(t1)<0,所以最多只有一个零点.综上,当k>0,a≥e时,函数y=f(x)与y=−kx+a的图像有唯一交点.【解析】【分析】(1)求导数,利用导数确定函数的单调性,结合单调性求出函数的最大值即可;(2)由(1)可得不等式lnx≥n−n√xn,结合放缩法,即可证明相应的不等式;(3)构造函数,求导数,利用导数确定函数的单调性,求出函数的极值,根据函数零点与函数图象交点横坐标的关系,数形结合,即可证明相应的结论.。
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浙江省金丽衢十二校2018届高三第二次联考英语第Ⅰ卷第一部分听力(共两节,满分30分)做题时,先将答案划在试卷上。
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案卡上。
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秒钟的时间回答有关小题和阅读下一小题。
每段对话仅读一遍。
1.How much does the man pay?A. $8.7B. $41.30C. $502.What is the weather lie today?A. RainyB. CloudyC. Sunny3.Where does the conversation tae place?A. At a storeB. At a hotelC. At the man’s house4.What does the man thin of the goaleeper?A. ImportantB. Cold-heartedC. Wea5.What are the speaers mainly taling about?A. A celebrationB. ClothesC. Performances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段对话,回答第6、7题。
6.What is the woman’s problem?A. She doesn’t now DarrylB. She doesn’t want to have lunchC. She doesn’t have enough money for lunch7.What does the man suggest the woman do?A. As someone else for helpB. Try to find her walletC. Get to now Darryl听第7段材料,回答第8、9题。
8.What do we now about the woman?A. She is overweightB. She lies lemon juice a lotC. She has a heart disease9.What can the woman eat besides vegetable salad?A. SugarB. SeafoodC. Beef听第8段材料,回答第10至12题。
10.Why can the woman eep slim?A. She seldom eats chocolateB. She does much eerciseC. She goes on a diet11.How often does the basetball club meet?A. Once a weeB. Once two weesC. Once a month12.What are the speaers going to do net?A. Loo for running machinesB. Buy an eercise bieC. Go to the gym听第9段材料,回答第13至16题。
13.What are the speaers mainly taling about?A. The woman’s hobbiesB. The woman’s future jobC. The woman’s wor eperience14.What is the man interested in?A. What the woman lies doingB. What the woman used to wor asC. What useful sills the woman has got15.What does the woman dislie?A. Playing tennisB. SwimmingC. Teaching16.What does the man advise the woman to do?A. Wor hardB. Mae a decision at onceC. Learn about more information听第10段材料,回答第17至20题。
17.When does the speaer give this tal?A. In the morningB. In the afternoonC. In the evening18.What is the camp manager epected to do?A. Prepare dinner and sleeping placesB. Give details about the camping tripC. Organie the music festival19.What will the campers do at 1000 a.m. tomorrow?A. Have breafastB. Attend the festivalC. Start wor20.How long can the campers see the bands play?A. One hourB. Two hoursC. Three hours第二部分阅读理解(共两节,满分35分)第一节(共10小题;每小题2.5分,满分25分)阅读下列短文,从每题所给的A、B、C和D四个选项中,选出最佳选项,并在答题卡上将该项涂黑。
AEvery year, Lucy and I enter the “Ice Sculpting(冰雕) for ids” program in our town. Lucy enters to win.I enter to get out of peeling potatoes for our Thansgiving dinner at home.The program this year too place last wee as usual. Everything went along well in the morning. Lucy made a Mayflower and I made a Turey.However, when we got bac after lunch, something unepected happened. The mainsail of his Mayflower was lying on the table in a puddle of water. I glanced at my Turey I had made. It had barely begun to melt!“What happened?” I ased. “Did you bump the table when you left?”“No! I just have rotten luc,” he wailed(哀叹), for the rest of the ship he had made began to melt too. “This can’t be just a case of bad luc,”I said, looing around for something that could have caused the destruction.“Something must have happened,”I said. Lucy’s eyes widened. “You thin someone did this on purpose?”I shrugged. “Maybe. It maes more sense than bad luc.”Lucy peered around the room. “Hey,” he whispered. “That id never left the room for the snac brea. Maybe he smashed my Mayflower!”I frowned. “I don’t now, Lucy. He doesn’t really seem the type.”“Haven’t you heard the saying ‘Loos can be deceiving’?” Lucy said, his voice rising. “He probably broe my ship while everyone was gone!”I stared at the ruined Mayflower and shoo my head. “It doesn’t loo broen, though. It loos more…disintegrated(使分解). Lucy, don’t jump to any--”“I’m telling on that id!” Lucy interrupted. He charged off, his face as red as cranberry sauce.“...conclusions,” I said. With a sigh, I turned to the shipwrec and placed the melting mainsail bac in its original spot. I held it there, thining, until my fingers turned as cold as the ice. “Yeowch!” I said, dropping the mainsail and sticing my froen fingers into my mouth.It was in that instant that the pule was solved.21.Why does the writer tae part in the “Ice Sculpting for ids” program?A. He wants to beat Lucy to win the prieB. He hates to celebrate the Thansgiving DayC. He wants to avoid woring on Thansgiving DayD. He wants to peel more potatoes for Thansgiving Day22.Why did Lucy rushed to tell on the id?A. Because the id damaged Mayflower on purposeB. Because Lucy’s Turey was damaged by the idC. Because the id was away during their snac breaD. Because the id was the suspect who ruined their wors23.Which of the following can best replace the underlined saying “Loos can be deceiving”?A. Not all that glitters is goldB. Never judge a boo by its coverC. A fall into a pit, a gain in your witD. Do as you would be done by24.What will the following paragraphs probably be about?A. The punishment for the idB. The true winner of the programC. The mystery of the ruined MayflowerD. The reconstruction of the ruined MayflowerBHarry Potter lovers around the world may want to than Alice Newton. She was eight years old when her father brought home a manuscript for her to read. At the time, he was woring for Bloomsbury Publishing.After reading the manuscript, Alice wrote a note to her father "The ecitement in this boo made me feel warm inside," she wrote. "I thin it is probably one of the best boos an 8 or 9 year old could read."Based in part on Alice's comments, Bloomsbury went on to publish "Harry Potter and the Philosopher's Stone."Alice's note to her father is part of the British Library's new ehibition, "Harry Potter A History of Magic." It celebrates the 20th anniversary of the publication of J.. Rowling's first boo about Harry and his friends at Hogwarts School of Witchcraft and Wiardry.When "Harry Potter and the Philosopher's Stone" was released in 1997, Bloomsbury sent just 500 copies to stores in Britain and another 500 copies to British libraries.Now, Harry and his friends are nown worldwide.The ehibit at the British Library in February includes Rowling's outline for her boos, her artwor of its characters and a map of the Hogwarts School. It also includes early versions of Rowling's boos that were rejected by other publishers.The show has two rooms. They are divided up based on the subjects offered at Hogwarts. Areas include Potions, Herbology, Care of Magical Creatures and Defense Against the Dar Arts.Each area describes the stories and beliefs that Rowling included in her boos.Included in the ehibition are discussions of alchemy, the European traditions that led to modern chemistry, and the Ripley Scroll--a si-meter-long document from the 1500s. It describes how to mae aPhilosopher's Stone.The British Library has already sold about 30,000 ticets to the ehibit—the most advance ticets ever sold for a British Library ehibition.The show closes on February 28, 2018. It will then travel to New Yor for the 20th anniversary of the release of "Harry Potter and the Sorcerer's Stone," the boo's title in the United States.25.Why does the writer mention Alice Newton at the beginning of the tet?A. To prove the popularity of the following paragraphsB. To introduce the topic of the following paragraphsC. To remind readers to love boos as Alice Newton doesD. To encourage readers to read Harry Potter series more often26.Which is NOT included in the British Library’s new ehibition, “Harry Potter A History of Magic.”?A. Rowling’s outline for her boosB. A map of the Hogwarts SchoolC. Rowling’s early published boosD. The very note to her father by Alice27.Which of the following statements is true?A. Thans to Alice and her father, Harry Potter series gained popularityB. As soon as the first Harry Potter was available, it became the best sellerC. The ehibition of Harry Potter A History of Magic will last two months in BritainD. The ehibition will include discussions about modern chemistryCFitness bands lie the Apple Watch and the Fitbit aim to trac something lie heart rate.But early models weren’t all that accurate. We thought of them a little bit lie random number generators(生成器). They really didn’t seem to be providing anything that bore any relationship to heart rate.Euan Ashley, a cardiologist(心脏病专家), studies wearables at Stanford University. He and his colleagues have now tested seven newer fitness bands, from brands lie Apple, Fitbit and others and he says those heart rate statistics have gotten much better. "Yeah we were pleasantly surprised actually by how good the accuracy of the heart rate monitoring was."For most of the devices, the error rate was less than 5%, which is good enough for your doctor. But where all the devices failed to measure up was estimating calories burned. Even the most accurate devices were off by 30%, compared to lab measurements of energy consumption. One device was off by more than 90%.If you thin about going to the gym and woring out for an hour and maybe that’s around 400 calories, then in reality that could be anything from 200 to 800. And that’s a big difference if you’re thining about somebody who’s incorporating those estimates into their lifestyle and particular thining about what to eatthat evening based on the worout they did that afternoon.The results are in the Journal of Personalied Medicine. The reason for the discrepancy, Ashley says, could be that we all burn energy at different rates and that’s hard to calculate from simple input statistics lie weight and height.Some people are incredibly efficient and loo incredibly elegant when they run. And others really clearly loo lie they’re burning a lot more calories to cover the same amount of ground. So if you own a wearable, it’s probably safe to trust the heart data. But w hat it can’t tell you is whether your time on the treadmill(跑步机) really justifies that chocolate bar.28.What does Euan Ashley say about the newer models of wearables?A. They were all uselessB. They were hardly effectiveC. They were too epensiveD. They were mostly accurate29.What can we learn from Paragraph 4 and Paragraph 5?A. For measuring heart rates, most fitness bands are not reliableB. For measuring calories in eercise, most fitness bands are not reliableC. We can base our lifestyle and diet on advice from doctorsD. We can base our lifestyle and diet on data from wearables30.What is the author’s purpose in writing the tet?A. To remind readers to use fitness bands wiselyB. To promote the sale of popular wearablesC. To discuss the advantages of some popular wearablesD. To introduce some famous-brand fitness bands第二节(共5小题;每小题2分,满分10分)根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。