常州市第一中学2004-05学年第二学期三月高三月考英语试卷

2021届常州市第一中学高三英语月考试题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ACovid-19 has brought a great deal of trouble for all of us since March 2020. During this time, mobile phones have been the solution for the boredom and restlessness caused from staying indoors. The most downloaded apps on play store 2020 are;TikTokTikTok was the most downloaded app. With over 111.9 million downloads, TikTok has seen a huge growth in 2020, twice more than what it got in 2019. 20% of its total downloads were fromIndiaand around 9. 3% of the total downloads were in theUS.ZoomZoom was the second most installed app in the overall downloads category. With nearly 94. 6 million installs, Zoom is the most used app for online meetings and virtual classrooms. 17% of its downloads were in theUSandIndia. Offices and educational institutes were shut down and to continue working and studying from home, people relied heavily on Zoom for video conferencing and calling.WhatsAppWhatsApp ranked third in overall downloads with more than 100 million downloads. It is one of the most popular and widely used chat applications; WhatsApp also supports communication between international phone networks.FacebookIt ranked fourth in the overall downloaded list. Facebook is the world’s most popular social networking application. Facebook builds technologies that give people the power to connect with friends and family, find communities and grow businesses.1. What do we know about TikTok?A. It is an India-based app.B. It has most users inAmerica.C. It is used for growing business.D. It has doubled its download than in 2019.2. Which app is the best to turn to for online education?A. TikTok.B. Zoom.C. WhatsApp.D. Facebook.3. What function does Facebook probably serve?A. Communication.B. Training.C. Teaching.D. PaymentBChinese archaeologists（考古学家）announced on Saturday that some new major discoveries have been made at the Sanxingdui Ruins site in Southwest China, helping uncover another start of the Chinese civilization.Archaeologists have found six new sacrificial pits（祭祀坑）and unearthed more than 500 treasures dating back 3,000 years at the Sanxingdui Ruins in Sichuan Province. So far, archaeologists have unearthed masses of important cultural items from four of the pits, including pieces of gold masks, gold foil, bronze（青铜）masks, bronze trees and large numbers of ivories. The rest of the newly discovered pits arc still being dug up.“Surprisingly, we have unearthed some never — heard — of — before bronze items," said Lei Yu, from the Sichuan Archaeology Research Institute. 'Tor instance, some large and well-made bronze items have strange-looking dragon or cow designs on them.”In another major discovery, relics of silk products were found for the first time at Sanxingdui, which shows “the ancient Shu Kingdom was one of the important starts of silk in ancient China" according to Tang Fei, head of the digging team.The new pits sit next to two sacrificial pits discovered in 1986, with areas ranging between 3o square meters and 19 square meters. Together they form an area in which people of the ancient Shu civilization held ceremonies to offer sacrifices to heaven, earth and their forefathers, and prayed for good luck and peace.The Sanxingdui Ruins is regarded as one of the greatest archaeological finds of mankind in the 20th century. The site was accidentally discovered by a farmer in the 1920s. The ruins are located in the city ofGuanghan, about 60 kilometers fromChengduand are believed to be the relics of theShuKingdom.4. What can we learn from the text?A. Totally there are 500 treasures unearthed.B. Six new sacrificial pits are under repair.C. The unearthed treasures date from 3000 years ago.D. There are six sacrificial pits at Sanxingdui.5. What does the discovery of the relics of silk products mean?A. Chinese civilization was widely influential.B.AncientShuKingdomwas also the home of silk.C. Chinese silk has a much longer history than known.D.ShuKingdombelonged toChinasince ancient times.6. What was the main function of the sacrificial pits?A. To celebrate festivals.B. To store valuable items.C. To bury important figures.D. To hold sacrifice ceremonies.7. Who first discovered the Sanxingdui Ruins?A. A farmer.B. Lei YuC. Tang Fei.D. Archaeologists.CTexas has been one of the most restrictive gun-rights states in America.Thanks to a new law,however,the state will be one of the most relaxed,to the degree that police are discouraged from even asking about someone's guns. And if they do, they may not have much power to do anything if the person refuses to show a license.To be sure, the law is strict in its own way,offering a model for regulation. Under the law, open-carry citizens have to be licensed, a process that includes safety and shooting tests. They also have to show no prior psychological problems, and they have to be at least 21 years old.It is true that gun violence dropped sharply after restrictive laws were put in place in countries like Great Britain and Australia. However,the US public seems more interested than ever in weapons and the power they convey,despite gun control groups' concern over the increase of violence. Most states in America have steadily expanded gun rights since the end of a 10-year assault(攻击)weapons ban in 2004. Black Friday this year saw the biggest gun cache(贮存)ever purchased in one day.Considering those trends,there's a heated debate about whether the new Texas law is a model piece of legislation(立法)for a changing America,or a walking disaster just begging for trouble. As the law doesn't provide any punishment for those who refuse to show a license to a police officer, critics fear that officers may find it tough to handle potentially deadly situations. After all, armed citizens will no longer be considered suspicious, even though a lot of people might be alarmed by the sight. Most police in Texas have been told to not engage gun carriers unless they are doing something questionable or appear drunk.For sure,New Year's Day will be an exciting one for Texas gun owners. What's not yet known is how the rest of Texas will respond.8. All of the following are required in the new Texas law for open carry EXCEPTA. age limitB. mental conditionC. online registrationD. gun-operating skills9. What is mainly talked about in Paragraph 3?A. The reason for putting forward the new Texas law.B. The present situation of gun possession in America.C. The impact of the assault weapons ban in 2004.D. The inaction of the US government as to gun control.10. What do critics think the new Texas law will probably lead to?A. Heavier workload for policemen.B. Disrespect for officers.C. Lack of trust among citizens.D. Difficulty in crime prevention.11. What is the author's attitude towards the new Texas law?A. Negative.B. Cautious.C. Indifferent.D. Approving.DFor our official holidays, like the National Holiday, many people'd like to go on a visit to some places of interest. Yesterday our class had a heated discussion about whether we should travel during holidays.One man's meat is another man's poison.Some students are for it. They think visitors can enjoy a good variety of scenery. Facing glorious(壮丽的) touristattractions, travelers may well broaden their eyes. At the same time, they can keep fit by walking on foot, and taste different delicious food that they can't get in their own hometowns. What's more, travelling can make a contribution to our economy development, mainly to the local economy development. Most travelers need to buy tickets to go to their destinations, thus traffic department will earn money. Travelers also need to sleep and eat, thus local hotels and restaurants also share benefits. Paying admission(门票费) benefits local governments. As fornative farmers, they can benefit from selling local specialities to many travelers. In this case, money circulation(货币流通) is speeded up.On the other hand, other students are against it. They believe it's a waste of money. Some famous places of interest are too crowded, while those smaller ones are not worth visiting. Travelling may cause traffic jams here and there. What's worse, due to travelling here and there, there exist some accidents on the road. Besides, it's known that travelling can also pollute the local environment. In order to reduce air and waste pollution, people should have a rest to the full, reading books or watching TV at home. Recently, many have been afraid of being infected with COVID-19 in particular.As far as I am concerned, travelling is a good choice to spend holidays. And the government should take some measures to solve the existing problems. More policemen should be on duty to deal with accidents in time. Can we make a small change to the period when people don't have to go to work in some provinces? Let's take the example of the National Holiday, if some provinces of our country spend this holiday mainly in late September, with the National Day coming to an end, rather than in earlyOctober, most famous places of interest will not become crowded. At the same time, visitors must obey traffic rules and shouldn't throw rubbish freely here and there. Last but not least, never should we travel when there is a pandemic(大流行病，瘟疫). It's our duty to prevent its spread.12. What does the underlined sentence “One man's meat is another man's poison” in this passage mean?A. Some persons like meat, while others don't.B. Different persons taste meals differently.C. A man mistakes meat for poison.D. Different persons have different opinions on one thing.13. How do travelers contribute to our economy development?A. They buy all kinds of tickets.B. They walk, sleep, eat and meet native farmers.C. They speed up money circulation by spending money on transport, accommodations(膳宿), specialities and admission.D. They only enjoy visiting many glorious tourist attractions.14. Which sentence of the following is not true?A. There's a need for more policemen.B Some provinces can change the date of an official holiday completely.C. Visitors must obey traffic rules and shouldn't throw rubbish freely.D. People should never travel when there is a pandemic.15. What the author's attitude to travel during holidays?A. He doesn't show his opinion.B. He doesn't agree at all.C. He supports unconditionally.D. He supports and makes some suggestions.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。

省句中2004—2005学年第一学期第二次月考高一英语试题命题人阙江霞2004．12．11第一卷听力部分（共两节，满分 10 分）第一节：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 are the two speakers talking about?A. A filmB. A bookC. A record2. What are the two speakers doing?A. Playing a ball gameB. Cheering for OxfordC. Watching a football match3. Why will the man go to Edinburgh?A. To drive the woman thereB. To have a meeting in Glasgow.C. To meet some important people4. What did the woman do yesterday evening?A. She ate out .B. She saw a film .C. She visited a friend.5. When is the pop show?A. At 7:30B. At 8:20C. at 8:30第二节：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6-8题。

6．Where does this conversation take place?A. At an airport.B. On a roadC. In a hotel.7. When will the woman have to check out tomorrow?A. At 12:00B. At 2:00 p.m.C. At 2:30 p.m.8. What does the man suggest the woman should do?A. Leave some time earlierB. keep her room cleanC. Leave at 5:30.听第7段材料，回答第9-10两题。

2021年常州市第一中学高三英语月考试卷及答案解析第一部分阅读（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AF the Art World competition.Prize -The winner of each type will get the chance to display their artworks in a week-long exhibition inChelsea,New York..Eligibility - Open to artists all over the world..Entry Fee(参赛费)-$24 for a maximum of 3 submitted(提交的)photos..Date of Exhibition - From 25thApril to 2ndMay.F the Art World is an international art competition organized by which is quite unusual, compared to other competitions. The artworks are not judged on the basis of creativity and skill. Instead, they're judged by the depth of the subject matter. The subject this year is “A Competition About Change”, where artists can try and show how they'd like to change humanity in a good way.Notes*For this competition, there are three types for submissions, namely: street art, fine art, and digital art.*Each type will have a winner as chosen by the organizers and all the winners will have the wonderful chance to exhibit their works at the Unarthodox Gallery inNew Yorkin a week-long exhibition.*All the winners will also receive 100% of the sale price when any of their artworks are sold!Winners will also be displayed on the website and the entrants' artworks will also be displayed in the opening ceremony(仪式)as well.1.What is special about F the Art World Competition?AIt is free to attend.B.It lasts for over a week.C.It is open to artists inNew York.D.It centers on the depth of the artworks.2.What will the winners get?A.Prize money.B.A chance to visit an exhibition.C.A written judgement of their artworks.D.Money from the sale of their artworks.3.Where will the entrants' artworks be shown?A.In the street.B.In the opening ceremony.C.On the website.D.At the market.BTo show empathy is to identify with another’s feelings. It is to emotionally put yourself in the place of another. The ability to empathize is directly dependent on your ability to feel your own feelings and identify them.If you have never felt a certain feeling, it will be hard for you to understand how another person is feeling. If you have never put your hand in a flame, you will not know the pain of fire. If you have not experienced jealousy, you will not understand its power.Readingabout a feeling and intellectually knowing about it is very different than actually experiencing it for yourself.Among those with an equal level of emotional intelligence, the person who has actually experienced the widest range and variety of feelings — the great depths of depression and the heights of fulfillment, for example, — is the one who is most able to empathize. On the other hand, when we say that someone “can’t relate” to other people, it is likely because they haven’t experienced, acknowledged or accepted many feelings of their own.Once you have felt discriminated against, for example, it is much easier to relate with someone else who has been discriminated against. Our innate emotional intelligence gives us the ability to quickly recall those instances and form associations when we encounter discrimination again. We then can use the “reliving” of those emotions to guide our thinking and actions. This is one of the ways nature slowly evolves towards a higher level of survival.For this process to work, the first step is that we must be able to experience our own emotions. This means we must be open to them and not distract ourselves from them or try to numb ourselves from our feelings through drugs, alcohol, etc.Next, we need to become aware of what we are actually feeling — to acknowledge, identify, and accept our feelings. Only then can we empathize with others. That is one reason why it is important to work on your own emotional awareness and sensitivity — in other words, to be “in touch with” your feelings.4. How does the author explain the feelings of empathy?A. By giving examples.B. By having classification.C. By making comparison.D. By providing data.5. Which statement may the author agree with?A. Low level of empathy leads to fewer varieties of feelings.B. The deeper one’s feelings are, the more empathetic one is.C. Empathy is a way we recently picked up for better survival.D. Rich experiences may not go with a high level of empathy.6. What’s the purpose of the last two paragraphs of the text?A. To advise a sincere attitude to one’s experiences.B To suggest a right understanding of empathy.C. To require a realbond with one’s emotions.D. To call for true acceptance of one’s feelings.7. What is the best title for the text?A. How Empathy UnfoldsB. Be Open to Your EmotionsC. Why Is Empathy ImportantD. Accept Your True SelfCLike all cultural institutions, galleries and art fairs are adapting to a new reality.Art Basel Hong Kong, Asia's biggest contemporary-art fair, was cancelled because of covid-19, but anyone he who had planned to visit last week could enjoy an experimental alternative：the viewing room. At the click of a keyboard) you could enter an overall view but private visual salon, without having to brave the airless Hong Kong Convention and Exhibition Centre.There, on one webpage, was Jeff Koons riffing(翻唱)on Botticelli's "Primavera" in a tribute to the history of painting at David Zwirner Gallery. Ota Fine Arts offered one collector the chance to acquire an "infinity(无限)room“, one of the most Instagrammed artworks of recent years- the creation of the fantasies,nonagenarian (九十多岁) Japanese artist, Yayoi Kusama. White Cube presented a large collection of international works by Andreas Gursky (German), Theaster Gates (American) and Beatriz Milhazes (Brazilian). But not every artist, gallery and form showed to equal advantage in this alternative fair. Not surprisingly, simple two-dimensional works in bright colours came across best No sculpture or conceptual art was includedBesides depth and texture, there are aspects of gallery hopping that a website is unlikely to copy. One isserendipity—the sense of wandering between artworks and encountering the unexpected. Another is sociability. Art is a communion between artist and viewer, but galleries and fairs are also places to swap opinions and share enthusiasms.Thereare ways to compensate (or these inevitable(不可避免的)disadvantages. As they shut their physicaldoors, some of the world's nest galleries and museums are offering advanced interactive visits, 360 degree videos and walk around tours of their collections, allwithout queues and high ticket prices. One of the best is laid on by the Rijksmuseum in Amsterdam；its tour allows visitors to view its Vermeers and Rembrandts, including the magnicent "Night Watch”, far more closely than would normally he possible. Another standout offering is from the Museu de Arte de SPaulo, which has an even broader collection. On its virtual platform, its pain tings, spanning 700 years, appear to be hanging in an open-plan space, seemingly hung on glass panels, or "crystal easels” as the. museum calls them, ideal for close-up inspection,8. From the paragraph 3, we may knowA. "Primavera" was originally painted by JeKoonsB.“innity room” was the most popular artworks of recent years on social mediaC. White Cube displayed a great many works by artists from different nationsD. Various paintings and statues showed on the webpage are well-received9. What does the underlined word "serendipity" in Paragraph 4 probably mean?A. surpriseB. treasureC. expectationD. compromise10. What is the purpose of writing the last paragraph?A.To introduce some popular art show in the world.B. To show that there are some alternative ways to promote the display during covid-19 epidemic.C. To prove that paintings hung on glass panels can be idealfor close-up inspection,D. To release some information about some extraordinary art shows.11. What is the best title?A. Art beyond the internet.B. Fascinating art.C. Art under covid-19.D. gallery hoppingDAsk a classroom of children to draw a scientist, and you’ll see plenty of color1 ed lab coats and glasses. The image (画像) hasn't changed much since the 1960s, but the person wearing the lab coat is changing.A new analysis finds that more female scientists have appeared in kids? drawings in recent decades — going from nearly nonexistent in the 1960s to about a third in 2016.The first of many “ draw-a-scientist ’’ studies asked nearly 5,000 children to draw a scientist between 1966 and 1977. Of those 5,000 drawings, only 28 drew female scientists. That was just 0.56 percent. Today, female scientists are being presented more in the media. For example, in a content analysis, 13 percent of peoplepictured in science feature stories of the 1960s were women or girls, compared with 44 percent in the 2000s. “That might really affect children’s idea on what a scientist should be like, ” says Miller, a Ph. D. candidate in psychology.To look for changes in children'sperceptionover time, the researchers conducted a meta-analysis ,combining data from 78 studies that included a total of more than 20,000 children from kindergarten to the 12th grade.On average, 28 percent of children drew female scientists in studies conducted from 1965 to 2016.What hasn’t changed much: kids pick up stereotypes (模式化观念）by gender (性别）as they grow up. At age 6, about 70 percent of the girls in the more recent studiesdrew female scientists. By age 16, 75 percent drew male scientists. This is an important period in which kids are learning stereotypes. It’s important that teachers and parents present diverse examples of both male and female scientists.12. What’s the picture of scientists drawn by a 1960s, kid like?A. A man with long curly hair.B. A woman with lab glasses.C. A woman in a formal lab suit.D. A man in a color1 ed lab coat.13. What may contribute to the changes in kids’ drawings?A. The improvement of women^ social status.B. The kids are affected by teachers and parents.C. More female scientists appear in the media.D. The increasing number of female scientists.14. What does the underlined word “ perception” in Paragraph 4 most probably mean?A. Belief.B. Idea.C. Habit.D. Growth.15. It can be inferred from the last paragraph that .A. it's a stereotype that scientists are generally malesB. girls are more influenced by stereotypes than boysC. some children are born with certain stereotypesD. most children tend to prefer female scientists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。

常州市第一中学2004—2005学年度第一学期期中考试高三数学试卷本试卷共22题；考试时间：120分钟；满分：150分答案做在答卷纸上，并在答卷纸的密封线内填上姓名、班级、考试号一、选择题：1．已知正方形ABCD 的边长为1，设c AC b BC a AB ===,,，++为 （ ） （A ）0 （B ）3 （C ）22+（D ）222．直角坐标系中，到x 轴、y 轴和直线1x y +=的距离都相等的点共有 （ ）(A) 1个 (B) 2个 (C) 4个 (D) 6个3．若x R ∈，则(1)(1)0x x -+>的充要条件是 （ ）(A) 1x < (B) 1x < (C) 1x <- (D) 1x <-或1x <4．已知函数()y f x =有反函数，则方程()f x a =（a 为实常数） （ ） (A) 有且仅有一个实根 (B) 至多有一个实根(C) 至少有一个实根 (D) 实根的个数可能是0个、1个或1个以上 5．如果sin 22()13α>，则α一定在 （ ） (A)第一、三象限 (B)第二、四象限 (C)第三、四象限 (D)第一、二象限 6．函数122log (1)y x ax =-+的值域为全体实数，则a 取值范围为 （ ）(A) (2,2)- (B) [2,2]- (C) (,2][2,)-∞-+∞U (D) (,2)(2,)-∞-+∞U7．函数y =x R ∈）的最小值为 （ ）(A) 32 (B) 2 (C) 52(D) 3 8．函数y x =+2423sin()π的图象与x 轴的各个交点中，离原点最近的一点的坐标（ ）(A) （π120,） (B) （-π120,） (C) （π60,） (D) （-π60,）9．在∆ABC 中，A B C ,,为三个内角，若cot cot 1A B ⋅>，则∆ABC 是 （ ）(A)直角三角形 (B)钝角三角形 (C)锐角三角形 (D)是钝角三角形或锐角三角形10．已知2a =r，2b =r ，a r 与b r 的夹角为60︒，53c a b =+r r r ，3d a kb =+r r r ，若c d ⊥r r ，则k 的值为 （ ） （A ）1- （B ）1 （C ）3911-（D ）391111．方程2222310x y x y --+-=所表示的曲线是 （ ） (A) 两条直线 (B) 圆 (C) 椭圆 (D) 双曲线12．对于每个实数x ，设()f x 是41x +，2x +和24x -+三个函数中的最小值，则()f x 的最大值是 （ ） (A) 3 (B)73 (C) 83(D) 以上答案都不对二、填空题：13．设集合{},,M a b c =，{},,N a m n =，,,a b c 成等差数列，,,a m n 成公比为q 的等比数列，当M N = 时，q ＝14．函数()f x 对任意正实数,x y 满足()()()f xy f x f y =+，且(2)1f =，则1()64f 的值是15．平行四边形的两条对角线交点为(,)11，一条边所在的直线方程为34120x y --=，则该边的对边所在的直线方程是16．定义符号函数10sgn 0010x x x x >⎧⎪==⎨⎪-<⎩，则不等式sg n 2(21)x x x +>-的解集是三、解答题：17．设a的正有理数，并且31a b a +=+a 与b 之间，并且b 比a18．已知点P 到两个定点(1,0)M -,(1,0)N，点N 到直线PM 的距离为1，求直线PN 的方程.（用直线方程的一般式表示）19． 某工厂用甲、乙两种原料生产A 、B 两种产品，已知生产1吨A 产品、1吨B 产品分别所需的甲、乙原料数，可获得的利润数及该厂现有的原料数列表如下：在现有原料的情况下，⑴ A 、B 产品应各生产多少吨，工厂才能获得最大利润？最大利润是多少万元？ ⑵ 如果市场行情发生变化：A 产品利润保持每吨5万元不变，B 产品利润为每吨T 万元（0T ≥），问：T 在什么范围内变化时，工厂不改变情况⑴时的生产计划，仍然能获得最大利润？ 20．已知点11(1,)B y ，22(2,)B y ，L ，(,)n n B n y ，L （n N *∈）顺次为直线11412y x =+上的点，点11(,0)A x ，22(,0)A x ，L ，(,0)n n A x L ，顺次为x 轴上的点，其中1x a =（01a <<）对于任意n N *∈，点1,,n n n A B A +构成以n B 为顶点的等腰三角形， ⑴ 求数列{}n y 的通项公式，并证明它为等差数列； ⑵ 求证：2n n x x +-为常数，并求数列{}n x 的通项公式；⑶ 上述等腰1n n n A B A +∆中是否可能存在直角三角形，若可能，求出此时a 的值；若不可能，请说明理由.21． 设函数22()(1)1f x x a x a =++++-的最小值大于3，求实数a 的取值范围.22． 已知()f x 为一次函数，[(1)]1f f =-，()f x 的图像关于直线0x y -=的对称的图像为C ，若点1(,)n na n a +（n N *∈）在曲线C 上，并有11a =，111n n n n a aa a +--=（2n ≥）⑴ 求()f x 的解析式及曲线C 的方程； ⑵ 求数列{}n a 的通项公式；⑶ 设3123!4!5!(2)!n n a a a a S n =+++++L ，对于一切n N *∈，n S m >恒成立，求自然数m 的最大值.常州市第一中学2004—2005学年度第一学期期中考试高三数学试卷答卷纸13． 14． 15． 16． 三、解答题： 17．证明：18．解：19．解：20．解：21．解：22．解：常州市第一中学2004—2005学年度第一学期期中考试高三数学试卷答案13．12- 14．－6 15．34140x y -+= 16．3(4-- 三、解答题：17．证明：33)1a b a +-==+，因为0a ≠，所以11a =+，因为10,10a +><，所以<，所以0,0b a -><或0,0b a <>，所以b a <<或a b <<a 与b 之间；又1=<，所以b a <，所以，b 比a 18．解一： 设NMP α∠=，作N D P M ⊥于D ，1sin 2α=，PMN ∆中sin sin PM PNPNM α=∠，所以s i n s i n 1P N M P M PN α∠==，sin 2PNM ∠=，所以4PNM π∠=或34PNM π∠=，所以直线PN 的斜率为1或1-，所以直线PN 的方程为10x y --=或10x y +-=解二：设(,)P a b ，直线PM 方程为(1)0bx a y b -++=，因为点P 到两个定点(1,0)M -,(1,0)N 距离之比为，点N 到直线PM 的距离为1，所以得方程：22610a b a +-+=及1=，解方程组得P点坐标为（2+）或（21-21+--2-PN 的方程为10x y --=或10x y +-=19．解：⑴ 设生产A 、B 产品分别为,x y 吨，利润为z 万元，则53z x y =+，由已知可得约束条件为21431800x y x y x y +≤⎧⎪+≤⎪⎨≥⎪⎪≥⎩，作出可行域：解得2422(,)55A ，所以最优解为2422,55x y ==最大利润为24125331.255⨯+⨯=（万元）⑵ 5z x by =+，所以05k b=-，令0123k -≤≤-，即5123b -≤-≤-，解得2.515b ≤≤20．解：⑴ 11412n y n =+，2n ≥时，111111[(1)]4124124n n y y n n --=+--+=为常数，所以{}n y 为等差数列；⑵1212x x +=，所以2122x x a =-=-； 12n n x x n ++=，1212n n x xn +++=+，两式相减得：22n n x x +-=为常数，{}n x 中奇数项、偶数项分别成等差数列，所以1,为奇数,为偶数n n a n x n a n ⎧+-⎪=⎨-⎪⎩；⑶ 若1n n n A B A +∆为等腰三角形，必有12n n n A A y +=，12n n n x x y +=，所以112()212n n n x x +-=+.当n 为奇数时，1[(1)](1)2()212n n a n a +--+-=+，11124na =-，所以1101124n <-<，得1n =或3n =，所以23a =或16a =；当n 为偶数时，1[(1)1]()2()212n n a n a ++---=+，所以101412n <+<，得2n =，所以712a =；综上所述，存在这样的实数a ，23a =或16a =或712a =.21．解：⑴ 当1x a ≤-时，函数化为222217()(1)(1)()24f x x a x a x a a =++-+-=-+++，若112a -≤时，min (1)y f a =-，所以2211217(1)324a a a a ⎧-≤⎪⎪⎨⎪--+++>⎪⎩，解之2a >；若112a ->时，min 1()2y f =，所以2112734a a a ⎧->⎪⎪⎨⎪++>⎪⎩，解之a <所以a >或a < ⑵ 当1x a ≥-时，函数化为222211()(1)(1)()324f x x a x a x a a =++++-=+++-，若112a -≥-时，min (1)y f a =-，所以2211211(1)3324a a a a ⎧-≥-⎪⎪⎨⎪-+++->⎪⎩，解之a <32a <≤； 若112a -<-时，min 1()2y f =-，所以21121334a a a ⎧-<-⎪⎪⎨⎪+->⎪⎩，解之32a >；所以2a <-或2a >综上所述：12222a a a a ⎧-<>⎪⎪⎨⎪<->⎪⎩， 即1(,()22a --∈-∞+∞U22．解：⑴ 设()f x kx b =+（0k ≠），所以2[(1)]1f f k kb b =++=-①，因为()f x 的图像关于直线0x y -=的对称的图像为C ，所以曲线C 为1()x b f x k k -=-，所以1()n b f n k k -=-，11(1)n b f n k k ---=-，1111()(1)()n b n b f n f n k k k k k-----=---=；又点1(,)n n a n a +（n N *∈）在曲线C 上，所以11()n n a f n a -+=②，11(1)n n a f n a ---=，所以1111()(1)1n n n n a a f n f n a a --+---=-=，所以11k=，1k =，代入①式得：1b =-， 所以： 函数()1f x x =-，曲线C 的方程为1y x =+⑵ 由②11()n n a f n a -+=，所以11n na n a +=+， 所以得1321221(1)32!n n n n a a a a n n n a a a a ---⋅⋅⋅⋅=-⋅=L L ，因为11a =，所以!n a n = ⑶ 因为!111(2)!(2)!(2)(1)12n a n n n n n n n ===-++++++， 所以3123!4!5!(2)!n n a a a a S n =+++++L ＝111111()()()233412n n -+-++-++L ＝1122n -+，11023n <≤+，11116222n ≤-<+，所以n S 的最小值为16， 所以 16m <，因而自然数m 的最大值为0.。

2019-2020学年常州市第一中学初中部正衡中学高三英语月考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AYou have to praise the smoothness（顺畅）of ants on the move. No matter how many of them are going toward a place, there's never a hold-up. A new research paper shows how ants keep traffic flowing by changing their behavior to meet changing conditions.For their experiments, researchers from the University of Toulouse focused on Argentine ants, animals that often move from colony（群落）to colony depending on where the food is. Making use of Argentine ants' talent for fast travel, the researchers built bridges connecting their colonies. The bridges were different in width from a fifth to three-quarters of an inch. The colonies, too, were of different sizes, ranging from 400 to more than 25,000 ants.Then the researchers sat back andmonitoredthe traffic. To their surprise, even when those narrower bridges were full of ants, there were no "traffic accidents". "When the number of ants on the bridge increased, ants seemed to be able to understand the situation and adjusted（调整）their speed accordingly to avoid making the traffic flow stop. "the authors note. "Moreover, ants avoided entering a busy road and made sure that the bridge was never too packed to cross.”The lesson for humans? The traffic problem may lie in our inability to adjust our driving habits for the good of the whole. Driving is fun when there are few cars on the road. Then the traffic moves very slowly. And yet, some impatient driver still acts like he's alone on the road.The research suggests that projects, like the ever-widening of highways, may never free us from traffic jams. As long as we drive along with our own habits, no matter how many other people are on the road, we'll always end up in a traffic jam. Indeed, less space may actually be a good thing. It leaves less room for individual choice and forces us to take a page from the driving book of ants.1. What is Paragraph 2 mainly about?A. The results of the experiments.B. The purpose of the experimentsC. The preparation of the experiments.D. The requirements of the experiments2. What does the underlined word "monitor" in paragraph 3 probably mean?A. watch and check.B. seek and improveC. design and planD. discuss and practise3. What is the best title for the text?A. Is widening highways a solution?B. Why don't ants need traffic lights?C. Can we learn safe driving from ants?D. What can ants teach us about traffic jams?BMy first week working in a restaurant, one of the servers said something that stuck with me: Everyone should work in a restaurant for at least a year. At the time, I didn't get it, but I took the advice to heart and worked in restaurants on and off for the next eight years. Before realizing it, I mastered many important skills, one of which is communication skill.When I was little, I was so shy that I used to hide behind my mom whenever someone spoke to me. And when I first started in restaurants, I had two personalities: Restaurant Lizzy and Home Lizzy. It was easier to pretend to be a different person while at work, since it was so different from who I actually was. But gradually, the skills I learned working in restaurants helped Home Lizzy come out of her shell in the real world.When you work in a restaurant, you don't have the luxury of hiding behind your parents to avoid talking to people. I'm still 110% an introvert, but restaurant work helped me communicate. Working in a restaurant not only helped me speak clearly, deliberately and directly but also taught me how to talk about almost everything. Some guests don't want their servers to interact too much with them, and that's fine. But some sit at the bar simply to chat with you. You learn how to judge your guests' level of interest in communicating with you, and how to exit a conversation at the appropriate time.My restaurant work is something that I'm most proud of and I know I wouldn't be the person I am today without those eight years of experience. If you're still on the fence about working in a restaurant for that long, start with one year. I doubt that you'll look back.4. What did the writer think of the server's words?A. Impressive.B. Ridiculous.C. Amusing.D. Logical.5. What do we infer from Paragraph 2?A. The writer tried different jobs.B. The writer became more sociable.C. The writer used an invented name.D. The writer had a hard time at work.6. Which of the following best describes the writer's restaurant work?A. Boring.B. Relaxing.C. Worthwhile.D. Unchallenging.7. What message does the writer try to convey in this passage?A. A strong-willed soul can reach his goal.B. Things are difficult before they are easy.C. Communication skills advance your career.D. Restaurantwork helps to achieve a better self.COne of the most popular street food found inChinais no doubt the barbecue. A new program, called Chinese Barbecue, tells the story of this popular food cooked over hot coals on just about every street corner in cities and towns across the country. Barbecued meat is an important part of people’s nightlife.Shown on June 20, the program has had more than 25 million clicks on the video site . To find the most popular barbecue stalls (摊位), the production team travelled to more than 500 locations in 30 cities across the country. Some viewers compare Chinese Barbecue to Midnight Diner, a Japanese TV program telling stories from late night informal Japanese bars.“I’m happy to hear this comparison because Midnight Diner is a good program, and we share the same topic― night food,” Chinese Barbecue’s director Chen Yingjie said. “However, they are quite different.” He said that Midnight Diner focused more on food itself, though there was someconversation while people were eating. However, the night food scene of Chinese people means joy and a more lively atmosphere. People eating these barbecue snacks develop a feeling of connection, which can be a cure for loneliness.The barbecue, regarded as the most ordinary and common night street snack, is different from home-made food by mothers as that is a symbol of family and kinship. The barbecue is where you go to become connected to people in society. And unlike official business lunches, during which people are rather polite, the barbecue lets people relax with old friends and new friends, leaving a lasting impression of friendship.The world, as a whole, holds deep-rooted good feelings toward the barbecue, either for the taste or the warmth produced by fire. “What we should do is to present the Chinese barbecue just the way it is because with its special ingredients(食材)，ways of cooking and more importantly, the special environment and people, the world will recognize it and might fall in love with it just as we do.” said Chen.8. What do we know about Chinese Barbecue?A. It has been becoming very popular on the Internet.B. It is thought highly of by most of the foreign tourists.C. It mainly talks about the most famous Chinese food.D. It shows the color1 ful nightlife in large cities ofChina.9. In which way was Chinese Barbecue different from Midnight Diner?A. It showed more kinds of food.B. It focused more on the diners.C. It showed the eating habits.D. It was less popular than Midnight Diner.10. What is Paragraph 4 mainly about?A. The importance of the barbecue to family.B. The influence of the barbecue on people’s manners.C. The influence of the barbecue on people’s lifestyle.D. The role of the barbecue in people’s relationship.11. Why did Chen Yingjie choose the barbecue as the topic of the series?A. To show the feature of Chinese food.B. To research a special way of cooking.C. To help the world understandChina.D. To introduce the history of the barbecue.DThe Native American of northern California were highly skilled at basketry, using the reeds, graeses, barks, and roots they found around them to fashion articles of all sorts and sizes-not only trays, containers, and cooking pots, but hats, boats, fish traps, baby carriers, and ceremonial objects.Of all these experts, none excelled the Pomo-a group who lived on or near the coast during the 1800's, and whose descendants continue to live in parts of the same region to this day. They made baskets three feet in diameter and othersno bigger than a thimble (顶针). The Pomo people were masters of decoration. Some of their baskets were completely covered with shell pendants；others with feathers that made the baskets’ surfaces as soft as the breasts of birds. Moreover, the Pomo people made use of more weaving techniques than did their neighbors. Most groups made al their basketwork by twining--the twisting of a flexible horizontal material, called a weft, around stiffer vertical strands of material, the warp. Others depended primarily on coiling-a process in which a continuous coil of stiff material is held in the desired shape with tight wrapping of flexible strands. Only the Pomo people used both processes with equal ease and frequency. In addition, they made use of four distinct variations on the basic twining process, often employing more than one of them in a single article.Although a wide variety of materials was available, the Pomo people used only a few. The warp was always made of willow, and the most commonly used weft was sedge root, a woody fiber that could easily be separated into strands no thicker than a thread. For color1 , the Pomo people used the bark of red-bud for their twined workand dyed bullrush root for black in coiled work. Though other materials were sometimes used, these four were the staples in their finest basketry.If the basketry materials used by the Pomo people were limited, the designs were amazingly varied. Every Pomo basket maker knew how to produce from fifteen to twenty distinct patterns that could be combined in a number of different.12. The word “fashion” in paragraph 1 is closest in meaning to ______.A. maintainB. organizeC. tradeD. create13. What is the author's main point in paragraph 2?A. The neighbors of the Pomo people tried to improve on the Pomo basket weaving techniques.B. The Pomo people were the most skilled basket weavers in their region.C. The Pomo people learned their basket weaving techniques from other Native Americans.D. The Pomo baskets have been handed down for generations.14. According to the passage, the relationship between red-bud and twining is most similar to the relationship between ______.A. bullrush and coilingB. weft and warpC. willow and feathersD. sedge and weaving15. Which of the following statements about Pomo baskets can be best inferred from the passage?A. Baskets produced by other Native Americans were less varied in design than those of the Pomo.B. Baskets produced by Pomo weaves were primarily for ceremonial and religious purposes.C. There were a very limited number of basket-making materials available to the Pomo people.D. The basket-making production of the Pomo people has been increasing over the years.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。