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1、保密考试结束前浙江省金丽衢十二校浙江省金丽衢十二校 20212021 届高三上学期第一次联考届高三上学期第一次联考数学试题数学试题本卷分第卷和第卷两部分。考试时间为 120 分钟,试卷总分为 150 分。请考生将所有试题的答案涂、写在答题纸上。第卷、选择题(本大题共 10 小题,每小题 4 分,共 40 分。在每个小题给出的四个选项中,只有项是符合题目要求的)1.设集合M x(x3)(x2)0,N x1 x 3,则MA.1,2)B.1,2 C.(2,3 D.2,3N x2y22.已知双曲线 C:221(a 0,b 0)的条渐近线与直线 2x4y20 垂直,则该双曲线的离心率ab为A.2 B.2
2、2 C.5 D.52x2y2 03.若实数 x,y 满足约束条件x y 2,则 xy 的最大值等于y 2A.2 B.1 C.2 D.44.己知一几何体的三视图如图所示,则该几何体的休积为A.111 B.1 C.D.6312123435.己知 a,b 是实数,则“a2 且 b2”是“ab4 且 ab4”的A.充分而不必要条件 B.必要而不充分条件 C.充要条件 D.既不充分也不必要条件6.口袋中有 5 个形状和大小完全相同的小球,编号分别为0,1,2,3,4,从中任取3 个球,以表示取出球的最大号码,则 E()A.3.55 B.3.5 C.3.45 D.3.47.如图,四棱柱 ABCDA1B1C
3、1D1,底面为正方形,侧棱 AA1底面 ABCD,AB3,AA14,P 是侧面 BCC1B1内的动点,且 APBD1,记 AP 与平面 BCC1B1所成的角为,则 tan的最大值为A.4525 B.C.2 D.3392e(x1),x 08.己知函数f(x),函数 yf(x)a 有四个不同的零点,从小到大依次为 x1,x2,x3,x4,4x3,x 03则x1x2x3x4的取值范围为A.3,3e)B.3,3e)C.(3,)D.(3,3e2.函数f(x)2的图像大致为x1ln x10.设等差数列 a1,a2,an(n3,nN)的公差为 d,满足a1 a2 an a11*a21 an1 a12 a22
4、 an2 m,则下列说法正确的是A.d 3 B.n的值可能为奇数C.存在iN,满足2ai0)上点 P 作抛物线的切线 l 交 x 轴于 Q,F 为焦点,以原点O 为圆心的圆与直线 l 相切于点 M。()当 p 变化时,求证:PF为定值。QFS1的最小值。S2()当 p 变化时,记三角形 PFM 的面积为 S1,三角形 OFM 的面积为 S2,求22.(本题满分 15 分)己知函数 f(x)xae b,其中a,bR。()讨论函数 f(x)的单调性;()设 al,kR,若存在b0,2,对任意的实数x0,1,恒有f(x)ke xe 1成立,求k 的最大值。xxx金丽衢十二校 2019 年高三第一次联
5、考英语试题本试卷满分 150 分,考试用时 120 分钟。注意事项:1答第卷前,考生务必将自己的姓名、准考证号填写在答题卡上。2选出每小题答案后,用铅笔把答题卡上对应题目的答案标号涂黑。如需改动,用橡皮擦干净后,再选涂其他答案标号。不能答在本试卷上,否则无效。第一部分 听力(共两节,满分 30 分)做题时,先将答案标在试卷上。录音内容结束后,你将有两分钟的时间将试卷上的答案转涂到答题卡上。第一节(共 5 小题;每小题 1.5 分,满分 7.5 分)听下面 5 段对话。每段对话后有一个小题,从题中所给的 A、B、C 三个选项中选出最佳选项,并标在试卷的相应位置。听完每段对话后,你都有 10 秒钟
6、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 will the woman do next?A.Make a phone call.B.Wait for Mr.Brown.C.Fix a meeting time.2.When will the woman have the party?A.On the 11thB.On the 21stC.On the 27th3.Who taught the man to swim?A.His teacher.B.His father.C.His friend.4.How does the man feel about being a
7、 photographer?A.Stressed.B.Tired.C.Pleased.5.What are the speakers talking about?A.An exam.B.Homework.C.A story.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 段材料,回答第 6、7 题。6.Why does
8、the man like Sally?1A.She is beautiful.B.She is a good actress.C.She is popular with audience.7.What does the woman dislike about the film?A.The acting.B.The story.C.The special effects.听第 7 段材料,回答第 8、9 题。8.What did Adam buy?A.A bag.B.A watch.C.A CD.9.Why didnt Ryan buy the book he wanted?A.It was t
9、oo expensive.B.His father had bought one for him.C.There werent any left in the market.听第 8 段材料,回答第 10 至 12 题。10.Who bought the man a camera?A.Mary.B.Harry.C.James.11.What present did Thomas give the man?A.A video.B.A book.C.A sweater.12.What does the man think of Amys present?A.Expensive.B.Lovely.C
10、.Disappointing.听第 9 段材料,回答第 13 至 16 题。13.When will the competition close?A.In the middle of January.B.At the end of February.C.At the beginning of March.14.What is the top prize?A.A computer.B.A phone.C.A camera.15.Who will choose the winner?A.A writer.B.A footballer.C.A reporter.16.How will the spe
11、akers send their stories?A.In person.B.By e-mail.C.By post.听第 10 段材料,回答第 17 至 20 题。17.What are the speakers talking about?A.A long car journey.B.Childrens education.C.Some life problem s.218.What problem did Mr.Zapp have?A.His car broke down.B.He couldnt find a hotel.C.He couldnt have his car fixed.
12、19.How can Mr.Zapps children get education?A.They go to school.B.They are taught by their parents.C.They learn from books themselves.20.Which country has Mr.Zapp been to?A.South Korea.B.Japan.C.Vietnam.第二部分 阅读理解(共两节,满分 35 分)第一节(共 10 个小题;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
13、项涂黑。A“Im ready.”said Alyssa Carson,a now-17-year-old astronaut-in-training from Baton Rouge,Louisiana.Forher,riding the most aggressive roller coaster in the park is not a big deal.If all goes according to her plans,NASA will send her to Mars in 2033,making her the first human to step foot on the pl
14、anet.She will spendtwo to three years doing something on it,growing food,performing science experiments,and searching forsigns of life.“The Martian is actually very accurate.”she said.“A lot of the things that happened in themovie are similar to what is going to happen.”Shes devoted her entire life
15、to preparing for this journey.Her love for space started when she was 3 years old and watched a cartoon called The Backyardigans.Fiveanimal pals go on imaginary adventures in their backyard including in one part,a mission to Mars.“I thoughtThis red planet is so cool,”she said.“I started watching vid
16、eos of rovers landing on Mars.I had a largemap of Mars in my room I would look at.We started gettingtelescopes so we could look at space.”At 7 her father took her to space camp in Huntsville,Alabama.“That was the weekend of my life,”she said.“I got to learn everything I had been wanting to know and
17、more.I got to see a life-size rocket.”Shecherished the rocket so much that she returned 18 times.At the age of 12 she became the first person inhistory to attend all three NASA space camps in Huntsville,Alabama;Quebec,Canada;and Izmir,Turkey.At first she mastered the basics of space and how humans h
18、ave explored it throughout time.3As she got older she simulated(模拟)missions,trying to reach a destination in gravity-free,weightless zones.When she was 9 she met NASA astronaut Sandra Magnus.The experienced explorer told her she was her agewhen she decided to go to space.At that moment Alyssa knew h
19、er love of space was not a passing hobby.“Idid the same thing as other kids,like switching my mind about careers,wanting to be a teacher or thepresident one day,”she said.“But the way I always thought about it was I would become an astronaut,go toMars,come back,and then be a teacher or the president
20、.”21.Alyssa Carson is great because_.A.she has created model missions to the MarsB.she is the youngest to have completed astronaut trainingC.she is likely to be the first human to perform different tasks on the MarsD.she has visited the space camp in Huntsville,Alabama for nearly 20 times22.NASA ast
21、ronaut Sandra Magnus was mentioned in the last paragraph to stress_.A.the power of space dreamB.the popularity of space travelC.the importance of career choiceD.the excitement of her space experiences23.What is the authors purpose of writing the text?A.To introduce American space industry.B.To promo
22、te the values of American teens.C.To encourage tours to the Mars.D.To present a rising American space star.BIn June,the Oxford English Dictionary,or OED,added about 1,000 words and new definitions to its website.The changes are to help users understand a mix of terms,some dating back many centuries.
23、The additionsinclude words such as“brencheese”“deathshildy”and“hip-pop”.The new entries are part of the companys update to O,its searchable online dictionary for paidmembers.The OED makes changes to the website four times each year.But the latest print version has beenin process since the year 2000,
24、and may not be ready for 10 more years.That information comes from Katherine Connor Martin,who heads the companys dictionary ope rations inthe United States.Usually,the OED watches usage of a word for at least 10 years before deciding whether to add a new entry,4new definition or word related to an
25、existing entry,she said.This general rule,however,is sometimes notfollowed.That is what happened with“tweet”,a word that the OED added far before the 10-year mark.Othertimes,the company adds words that are very old,but were not included in the dictionary in the past.“Its funny because we talk about
26、new words,but many of the words we add are already obsolete.Its justthat they were never in the dictionary before.”Martin told the Associated Press.That is the reality,she said,of a historical dictionary trying to put more than 1,000 years of English intobooks that already have over 855,000 entries.
27、So,you get“brencheese,”a rarely used term for when breadand cheese are eaten together.The word dates back to the year 1665.The word“deathshildy”is from OldEnglish.It means someone who is guilty of a serious crime and condemned to death.The website defines the term“hip-pop”for music that combines par
28、ts of hip-hop and popular music.TheOED discovered the term“hip-hip pop”was used in a 1985 story from a Pennsylvania newspaper.It notedthat the term“hip-pop”appeared in a 1991 U.S.newspaper report about the rap artist M.C.Hammer.The website has added several other terms related to modern culture.They
29、 include three popular terms:“binge-watching,”“spoiler alert”and“microaggression”.Here are a few other new entries if you long to read on.24.What has OED done recently?A.It has made changes to its words explanation.B.It has sorted out some words which are out of date.C.It has helped users to have mo
30、re convenient use of OED.D.It has taken in more words and new meanings of some words.25.The underlined word obsolete in paragraph 4 is closest in meaning to _.A.desertedB.updatedC.changedD.explained26.What will the paragraph following the passage most probably be about?A.The influence cultures have
31、on the words in OED.B.The difficulties OED has in choosing the words.C.The effect modern technology has on OED.D.The new vocabularies OED has included.27.Whats the best title of the text?A.OED,A Great Help for English LearnersB.A Brand New Version of OED WebsiteC.A Better Understanding of Words in O
32、ED5D.Examples of OED Choosing WordsCScientists have long struggled with how to measure the effects of climate change on wildlife.In the past,researchers depended mainly on information gathered by satellite to follow the movement ofbirds and animals.But this method can be costly and result in huge am
33、ounts of information,which can bedifficult to process.Now scientists are turning to another kind of technology to help them follow birds andother wildlife.Songbirds are especially difficult to study in the wild.They can fly across thousands of kilometers and theirbodies are too small for electronic
34、tracking devices.A new report tells about a project in which researchersrecorded songbirds and then put the sounds into a computer program to be studied.The researchers createdmachine learning algorithms(学习演算法)with the ability to focus on bird calls while ignoring other noises.Birds are known to mak
35、e more singing and calling noises after arriving in areas where they plan to mate.Spring is short in extreme northern areas of the American state of Alaska.There,the birds mustmate andhave their young before winter.The algorithm is designed to use the recordings to estimate when the birdsarrive in l
36、arge groups to begin mating.A lead researcher on the project,Ruth Oliver from Columbia University in New York,said that she andothers traveled to northern Alaska to put recording equipment in four different places.The equipment was used to make four half-hour recordings each day.“Theres a lot of oth
37、er noise in these recordings,such as that of wind and rain.”Oliver adds that the machinelearning method is a valuable tool to help identify and process the most useful parts of the recordings.Oliver says the unsupervised machine learning method could be retooled to use sounds to measure themovements
38、 of other wildlife.“This could allow us to track large-scale changes in how animals areresponding to climate change,”she said.Emily Jo Williams is a bird expert.She said she agrees that machine learning can provide scientists withvaluable information about how climate changes are affecting animal po
39、pulations.“We know from some research that some birds ranges have actually changed,and theyve moved inresponse to what we think is a warming climate.”Researchers have also created a machine learning system that they say uses artificial intelligence or AI toidentify,count,and describe the behaviors o
40、f 48 animal species.Scientists said results showed AI can be usedas an effective way to gather“a wealth of information”on huge numbers of animals in the wild.28.Whats the weakness of using satellite information to study birds?6A.Some birds are too small to be equipped with tracking devices.B.The bir
41、ds covered too long a distance for the satellite to follow.C.The amount of information collected is too large to process.D.The amount of information collected is far from accurate.29.Whats the purpose of the machine learning method mentioned in the last paragraph?A.To measure the effect of global wa
42、rming on human.B.To preserve different species of songbirds in Alaska.C.To test the practical value of Artificial Intelligence(AI).D.To figure out the impact of climate change on wildlife.30.Whats the writers attitude towards the machine learning method?A.Ambiguous.B.Objective.C.Doubtful.D.Tolerant.
43、第二节(共 5 个小题;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。选项中有两项为多余选项。Many universities have carried out a study abroad requirement in order for students to receive a degree.Actually you will realize that traveling itself is an education.31Sitting in history is BORING.Honestly,Id rather have to take
44、chemistry than listen to a history professor goon and on and on about a civilization or some people I dont care about.32When I studied abroad in Germany,I made a lot of connections to history thatI had learnedabout previously.Being there,whereevents actually took place,was cooler than looking at pic
45、tures on aPowerPoint slide.33If you study abroad and have to travel with a classmat e,I guarantee youll be able to identifysome areas for improvement.I can remember multiple instances where I identified that I needed to become abetter communicator.Having the experience of traveling will give you so
46、many more perspectives on life.If you feel like you havent exactly defined your identity,leave your home country for a semester or longer.Ican guarantee that youll come back with a better handle on who you are and whatyou have to offer theworld.34In those five weeks,I learned more about who I am and
47、 what I represent than theprevious year I had spent on my home campus.Youll return home with a new found appreciation for your life and the opportunities youve been given.After I traveled around Europe,I came home so much more thankful to go to a university with comfortablehousing.35I couldnt have b
48、een happier to share a bathroom with 59 other 18-to22-year-old girls.I couldnt have been happier to get up for my 8 a.m.7courses.A.But when you travel,history comes to life.B.Here are some reasons why you should consider traveling to enhance your learning.C.When you travel,youll have to learn a diff
49、erent way of living.D.I had such a deepened appreciation for what I had been given.E.I found out so many things about myself when I was in Germany.F.All in all,traveling will enhance your classroom learning experiences.G.Things like communication skills cant always be polished in a classroom.第三部分 语言
50、运用(共两节,满分 45 分)第一节 完形填空(共 20 个小题;每小题 1.5 分,满分 30 分)阅读下面短文,从短文后各题所给的 A、B、C 和 D 四个选项中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。My fathers illness had been diagnosed as one of the worst cancers.36a well-built man,he had lost morethan 30 pounds.The doctors37that he had only three to six months to live.The other day,w