长春市第十一高中、东北师范大学附属中学等五校2018届高三1月联合模拟考试英语试题+Word版含答案
吉林省长春市2018届高三英语一模考试试卷
吉林省长春市2018届高三英语一模考试试卷一、阅读理解 (共4题；共30分)1．（6分）阅读理解Exhibitions in the British MuseumHokusai: beyond the Great WaveKatsushika Hokusai (1760-1849) is widely regarded as one of Japan's most famous and influential artists.He produced works of astonishing quality right up until his death at the age of 90.This new exhibition will lead you on an artistic journey through the last 30 years of Hokusai's life—a time when he produced some of his most memorable masterpieces.25 May—13 August 2017Room 35Adults￡12,Members/under 16s freePlaces of the mind: British watercolour landscapes 1850-1950Drawn from the British Museum's rich collection,this is the first exhibition devoted to landscape drawings and watercolours by British artists in the Victorian and modern eras—two halves of very different centuries.23 February—27 August 2017Room 90Free, just drop inScythians: warriors of ancient SiberiaThis major exhibition explores the story of the Scythians—nomadic tribes and masters of mounted warfare, who flourished between 900 and 200 BC. Their encounters with the Greeks, Assyrians and Persians were written into history but for centuries all trace of their culture was lost—buried beneath the ice.14 September 2017—14 January 2018Room 30Adults￡16.50,Members/under 16s freePolitics and paradise: Indian popular prints from the Moscatelli GiftThis display is part of the Museum's contribution to the India-UK Year of Culture 2017.It looks at the popular print culture of India from the 1880s until the 1950s.19 July—3 September 2017Room 90aFree,just drop in（1）（2分）If you are interested in drawings of natural scenery, you will probably go to______.A．Room 35B．Room 90C．Room 30D．Room 90a（2）（2分）Which exhibition can you attend in October 2017?A．Hokusai: beyond the Great Wave.B．Scythians: warriors of ancient Siberia.C．Places of the mind: British watercolour landscapes 1850-1950.D．Politics and paradise: Indian popular prints from the Moscatelli Gift.（3）（2分）Where can we most probably find the passage?A．In a health report.B．In a story book.C．In a parenting magazine.D．In a tour guide.2．（8分）阅读理解Celeste Ng,a new writer,has gained recognition for her first novel,Everything I Never Told You.Ng's parents came from Hong Kong,China in the 1960s.Ng was born in America and grew up in Pittsburgh, Pennsylvania,and Shaker Heights,Ohio,in a family of scientists.Celeste went to Harvard University and earned an MFA from the University of Michigan,where she won the Hopwood Award.Although her novel is not about race,the characters are Asian.The main character is Lydia,a teenage girl,who is the favorite of three children born to a white mother and a Chinese-American father.The story is about Lydia's disappearance,and the emotions the family goes through as the mystery unfolds.The whole family deals with sorrow, regret,and exposed secrets as they search for their lost daughter.Though the characters in this story are Asian,Ng says she didn't really want to include Asian characters.She was afraid people would think the story was about real people in her life.Because she grew up in America and doesn't speak Chinese,she was actually surprised that she n characters in the book.The book has taken off,especially on Amazon,where it won the Editor's Pick for No.1 Best Book of the Year in 2014.Ng is still getting used to the attention,saying she is still amazed when people tell her they have read her book. With so many readers,it's safe to say this is a book you should read.But if you're looking for a simple mystery,this book might not be for you.Most readers warn that you should not read this book unless you're prepared to cry.（1）（2分）The novel Everything I Never Told You______.A．focuses on a family with a missing childB．discusses the ways to get rid of regretC．exposes the secret of the American worldD．talks about the life of teenagers in America（2）（2分）Which of the following is TRUE according to Celeste Ng?A．She wanted to help the Asian people.B．She was surprised she wrote about Asian characters.C．She was born in Hong Kong and grew up in America.D．She wanted people to know the characters were real people in her life.（3）（2分）How do most readers probably find the book?A．It's about race.B．It's a sad story.C．It's a simple mystery.D．It has a surprising ending.（4）（2分）What is the text mainly about?A．Celeste Ng and her family.B．The awards Celeste Ng won.C．Celeste Ng's learning experience.D．Celeste Ng and her best-known novel.3．（8分）阅读理解Lately a popular eight-floor bookstore in Hefei,Anhui province,has risen to fame because it becomes the world's first shared bookstore,in a move meant to encourage more reading among Chinese citizens.It comes to people's attention as more than 200,000 visitors flooded the store on its first day as a shared bookstore on July 16 this year,a record high since it was reopened to the public in 2013.Some 4,000 books were brought home on the first day, reported.Customers are allowed to borrow up to two books valued under 150 yuan per visit after registering with an app and paying the 99 yuan deposit fee（押金）.All books on sale in the bookstore are available for sharing.Returned books that are damaged are sold at a discount.The bookstore also provides a bonus for bookworms.People who finish reading 12 books in three months receive eight percent of their deposit back,and members can be rewarded one yuan for everybook read."We want to bring down the cost of reading so people could read more books,"Xu Xinwei,who helps run the bookstore,told .Some parents buy a lot of books for their children,but they usually end up collecting dust as their children grow up.Similarly,some popular novels for young people also fall out of fashion,according to Xu."Books are more effectively circulated when they're shared."（1）（2分）The bookstore becomes a shared one .A．to make more money B．to make more room for new booksC．to inspire more people to read D．to recommend new books（2）（2分）What does the underlined phrase “risen to fame” in Paragraph 1 probably mean?A．Become well-known.B．Settled down.C．Broken up.D．Taken over.（3）（2分）What can we infer from the passage?A．The bookstore was once the best in Anhui province.B．The books that are sold here can't be borrowed.C．More than 4,000 books were taken home on July 16 in 2013.D．The cost of reading can be reduced by sharing the books.（4）（2分）What does the bookstore do to attract more readers?A．The bookstore encourages parents to buy more books for their children.B．The readers are allowed to borrow the books unconditionally.C．The readers who are members can receive one yuan for every book read.D．The bookstore is considering offering a bonus for anyone who likes reading.4．（8分）阅读理解Can exercise during childhood protect you against memory loss many decades later?Exercise early in life seems to have lifelong benefits for the brain,in rats at least."This is an animal study,but it shows that physical activity at a young age is very important一not just for physical development,but for the whole lifelong track of cognitive（认知的）development during ageing,"says Martin Wojtowicz of the University of Toronto,Canada."In humans,it may delay the appearance of Alzheimer's symptoms（阿兹海默氏症）,possibly to the point of preventing them."Wojtowicz's team divided 80 young male rats into two equal groups,and placed running wheels inthe cages of one group for a period of six weeks.Around four months later—when the rats had reached middle age—the team taught all the rats to connect an electric shock with being in a specific box.When placed in the box,they froze with fear.Two weeks later,the team tested the rats in three situations: exactly the same box in the same room,the same box with the room arranged differently,and a completely different box in a different room.The rats without access to a running wheel when they were young now froze the same percentage of times in each of these situations,suggesting they couldn't remember which one was dangerous.But those that had been able to run in their youth froze 40 to 50 percent less in both changed box settings.“The results suggest the amount of physical activity when we're young,at least for rats,has influence on brain and cognitive health—in the form of better memories—when we're older,"says Arthur Kramer of Northeastern University in Boston,who has found that,in humans,exercise promotes the growth of new brain cells.（1）（2分）The study shows that______.A．physical activity is important for physical healthB．using the running wheels is of benefit to the rats' growthC．physical activity can prevent human's Alzheimer's symptomsD．the more exercise a rat has when young,the better memory it will possess when older（2）（2分）How are Paragraph 3 and 4 mainly developed?A．By analyzing causes.B．By giving an example.C．By describing the process.D．By showing differences.（3）（2分）What does the underlined word "it" in Paragraph 2 refer to?A．Exercise.B．Development.C．Benefit.D．Study.（4）（2分）What is the author's attitude towards the animal study?A．Negative.B．Objective.C．Critical.D．Doubtful.二、任务型阅读 (共1题；共10分)5．（10分）任务型阅读Summer is the perfect time to relax.As you plan for your trip,here are some tips on how to protect yourself.Fight against the mosquitoes in the hot spots.There are many mosquito-borne illnesses in tropical regions,which are traditionally vacation hot spots. Therefore,mosquito repellent（驱蚊剂）that contains DEET should be an essential item in your travelbag.In lesser-developed countries there is less equipment for clean water and public health.If you can't avoid unhealthful water,make sure you bring along a tea or coffee—making pot that will boil water for you.You'd better buy a case or two of water and check that all bottle caps are sealed to assure the bottled water isn't just a refilled bottle of dirty tap water.Always protect your feet.It's best to wear slippers in the shower,but if you must be barefoot,put a towel down on the floor. You should never walk barefoot in any area of a foreign country,including your hotel room.Be sure to eat safe fruits.They may have been washed in the same water,or wiped with the same rag used to clean work surfaces in kitchens.The best advice is to bring your own peeler（削皮器）so that you know that something clean has been applied to the fruit.Enjoy the smell of roadside stands,not the food.Unless the food is piping hot when served,it's best to stay away from roadside stands,no matter how good the smell of the food might be.If you are concerned about whether a restaurant is clean,order the food to go.A.Don't trust the local waterB.Any fruit served fresh may be pollutedC.Look out for any water not served in a bottleD.The boxes may be cleaner than the plate or fork on the tableE.You should know how to keep yourself away from dirty fruitsF.They are necessary to avoid coming back with a major illness from your tripG.Parasites（寄生虫）can enter the skin of your feet and travel to different parts of the body三、完形填空 (共1题；共20分)6．（20分）阅读下面短文，从短文后各题所给的四个选项（A、B、C和D）中，选出可以填入空白处的最佳选项。
东北师范大学附属中学等五校2018届高三上学期联合模拟考试理综物理试题Word版含答案
2018届高三联合模拟考试理科综合试题东北师范大学附属中学重庆一中长春十一高中吉林一中松原实验中学考试时间:2018年1月30日二、选择题:本大题共8小题，每小题8分，共48分。
在每小题給出的四个选项中，第14~18题只有一项符合题目要求，第19~21题有多项符合题目要求。
全部选对的得6分，速对但不全的得3分，有选错的得0分。
请仔细审题，认真做答。
14.下列说法正确的是A.氢原子从n=3能级跃迁到n=1能级和从n=2能级跃迁到n=1能级相比较。
前者辐射出的光的波长比后者的长B.α射线与β射线和γ射线相比，α射线具有较强的穿透能力C.动能相等的质子和电子，它们的德布罗意波长也相等D.康普顿效应说明光具有粒子性，电子的衍射实验说明实物粒子具有波动性15.A、B两个质量相同的物体在各自的外力作用下沿着同一方向做直线运动，它们的速度随时间的变化图线如图所示。
在0~t o这段时间内，下列判断正确的是A.A、B两个物体所受的合外力相同B.A、B两个物体的合外力所做的功相同C.A、B两个物体的合外力的冲量大小相等D.A、B两个物体的平均速度大小相等16.放在租糙的水平地面上的斜面体，倾角θ=45，斜面光滑。
斜面上有两个质量均为m的小物块A、B，它们之间有轻绳连接。
当用水平外力F推物块A时，两个滑块和斜面体一起向左做匀速直线运动。
若斜面对物块A的支持力大小为N，斜面对物块B的支持力大小为M，则下列结论正确的是A.N A=mg N B=mgB. N A=mg N B=mgC. N A=mg N B=mgD. N A=mg N B=mg17.如图所示，固定在竖直面内的光滑绝缘圆环上穿有一个小球P(视为质点)，P带正电。
该空间同时存在匀强电场和匀强磁场。
电场方向竖直向上;磁场方向重直于圆环平面向里。
将小球P从与圆心0等高处由静止释放后，小球逆时针运动到达圆环的最高点。
在此过程中A.小球动能的增量等于电场力、格伦兹力做功的代数和B.小球重力势德的增量等于电场力和重力做功的代数和C.小球机械能的增量等于电场力做的功D.小球电势能的增量等于重力做的功18.如图所示，光清绝缘水平桌面上有一句强电场，电场强度大小为E,方向与桌面平行。
2018届吉林省长春市普通高中高三一模考试英语试题
2018届吉林省长春市普通高中高三一模考试题英语试题第Ⅰ卷第一部分听力（1-20小题）在笔试结束后进行。
第二部分阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下面短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该项涂黑。
AExhibitions in the British MuseumHokusai: beyond the Great WaveKatsushika Hokusai (1760-1849) is widely regarded as one of Japan's most famous and influential artists.He produced works of astonishing quality right up until his death at the age of 90.This new exhibition will lead you on an artistic journey through the last 30 years of Hokusai's life—a time when he produced some of his most memorable masterpieces.25 May—13 August 2017Room 35Adults￡12,Members/under 16s freePlaces of the mind: British watercolour landscapes 1850-1950Drawn from the British Museum's rich collection,this is the first exhibition devoted to landscape drawings and watercolours by British artists in the Victorian and modern eras—two halves of very different centuries.23 February—27 August 2017Room 90Free,just drop inScythians: warriors of ancient SiberiaThis major exhibition explores the story of theScythians—nomadic tribes and masters of mounted warfare,who flourished between 900 and 200 BC.Their encounters with the Greeks,Assyrians and Persians were written into history but for centuries all trace of their culture was lost—buried beneath the ice.14 September 2017—14 January 2018Room 30Adults￡16.50,Members/under 16s freePolitics and paradise: Indian popular prints from the Moscatelli GiftThis display is part of the Museum's contribution to the India-UK Year of Culture 2017.It looks at the popular print culture of India from the 1880s until the 1950s.19 July—3 September 2017Room 90aFree,just drop in21.If you are interested in drawings of natural scenery,you will probably go to______.A.Room 35B.Room 90C.Room 30D.Room 90a22.Which exhibition can you attend in October 2017?A.Hokusai: beyond the Great Wave.B.Scythians: warriors of ancient Siberia.C.Places of the mind: British watercolour landscapes 1850-1950.D.Politics and paradise: Indian popular prints from the Moscatelli Gift.23. Where can we most probably find the passage?A.In a health report.B.In a story book.C.In a parenting magazine.D.In a tour guide.BCeleste Ng,a new writer,has gained recognition for herfirst novel,Everything I Never Told You.Ng's parents came from Hong Kong,China in the 1960s.Ng was born in America and grew up in Pittsburgh, Pennsylvania,and Shaker Heights,Ohio,in a family of scientists.Celeste went to Harvard University and earned an MFA from the University of Michigan,where she won the Hopwood Award.Although her novel is not about race,the characters are Asian.The main character is Lydia,a teenage girl,who is the favorite of three children born to a white mother and a Chinese-American father.The story is about Lydia's disappearance,and the emotions the family goes through as the mystery unfolds.The whole family deals with sorrow, regret,and exposed secrets as they search for their lost daughter.Though the characters in this story are Asian,Ng saysshe didn't really want to include Asian characters.She was afraid people would think the story was about real people in her life.Because she grew up in America and doesn't speak Chinese,she was actually surprised that she n characters in the book.The book has taken off,especially on Amazon,where it won the Editor's Pick for No.1 Best Book of the Year in 2014.Ng is still getting used to the attention,saying she is still amazed when people tell her they have read her book. With so many readers,it's safe to say this is a book you should read.But if you're looking for a simple mystery,this book might not be for you.Most readers warn that you should not read this book unless you're prepared to cry.24.The novel Everything I Never Told You______.A.focuses on a family with a missing childB.discusses the ways to get rid of regretC.exposes the secret of the American worldD.talks about the life of teenagers in America25.Which of the following is TRUE according to Celeste Ng?A.She wanted to help the Asian people.B.She was surprised she wrote about Asian characters.C.She was born in Hong Kong and grew up in America.D.She wanted people to know the characters were real people in her life.26.How do most readers probably find the book?A.It's about race.B.It's a sad story.C.It's a simple mystery.D.It has a surprising ending.27.What is the text mainly about?A.Celeste Ng and her family.B.The awards Celeste Ng won.C.Celeste Ng's learning experience.D.CelesteNg and her best-known novel.CLately a popular eight-floor bookstore in Hefei,Anhui province,has risen to fame because it becomes the world's first shared bookstore,in a move meant to encourage more reading among Chinese citizens.It comes to people's attention as more than 200,000 visitors flooded the store on its first day as a shared bookstore on July 16 this year,a record high since it was reopened to the public in 2013.Some 4,000 books were brought home on the first day, reported.Customers are allowed to borrow up to two books valued under 150 yuan per visit after registering with an app and paying the 99 yuan deposit fee（押金）.All books on sale in the bookstore are available for sharing.Returned books that are damaged are sold at adiscount.The bookstore also provides a bonus for bookworms.People who finish reading 12 books in three months receive eight percent of their deposit back,and members can be rewarded one yuan for every book read."We want to bring down the cost of reading so people could read more books,"Xu Xinwei,who helps run the bookstore,told .Some parents buy a lot of books for their children,but they usually end up collecting dust as their children grow up.Similarly,some popular novels for young people also fall out of fashion,according to Xu."Books are more effectively circulated when they're shared."28.The bookstore becomes a shared one .A.to make more moneyB.to make more room for new booksC.to inspire more people to readD.torecommend new books29.What does the underlined phrase “risen to fam e”in Paragraph 1 probably mean?A.Become well-known.B.Settled down.C.Broken up.D.Taken over.30.What can we infer.from the passage?A.The bookstore was once the best in Anhui province.B.The books that are sold here can't be borrowed.C.More than 4,000 books were taken home on July 16 in 2013.D.The cost of reading can be reduced by sharing the books.31.What does the bookstore do to attract more readers?A.The bookstore encourages parents to buy more books for their children.B.The readers are allowed to borrow the books unconditionally.C.The readers who are members can receive one yuan for every book read.D.The bookstore is considering offering a bonus for anyone who likes reading.DCan exercise during childhood protect you against memory loss many decades later?Exercise early in life seems to have lifelong benefits for the brain,in rats at least."This is an animal study,but it shows that physical activity at a young age is very important一not just for physical development,but for the whole lifelong track of cognitive（认知的）development during ageing,"says Martin Wojtowicz of the University of Toronto,Canada."In humans,it may delay the appearance of Alzheimer's symptoms（阿兹海默氏症）,possibly to the point of preventing them."Wojtowicz's team divided 80 young male rats into two equal groups,and placed running wheels in the cages of one group for a period of six weeks.Around four months later —when the rats had reached middle age—the team taught all the rats to connect an electric shock with being in a specific box.When placed in the box,they froze with fear.Two weeks later,the team tested the rats in three situations: exactly the same box in the same room,the same box with the room arranged differently,and a completely different box in a different room.The rats without access to a running wheel when they were young now froze the same percentage of times in each of these situations,suggesting they couldn't remember which one was dangerous.But those that had been able to run in their youth froze 40 to 50 percent less in both changed box settings.“The results suggest the amount of physical activity when we're young,at least for rats,has influence on brain and cognitive health—in the form of better memories—when we're older,"says Arthur Kramer of Northeastern University in Boston,who has found that,in humans,exercise promotes the growth of new brain cells.32.The study shows that______.A.physical activity is important for physical healthing the running wheels is of benefit to the rats' growthC.physical activity can prevent human's Alzheimer's symptomsD.the more exercise a rat has when young,the better memory it will possess when older33.How are Paragraph 3 and 4 mainly developed?A.By analyzing causes.B.By giving an example.C.By describing the process.D.By showing differences.34.What does the underlined word "it" in Paragraph 2 refer to?A.Exercise.B.Development.C.Benefit.D.Study.35.What is the author's attitude towards the animal study?A.Negative.B.Objective.C.Critical.D.Doubtful.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。
2018届吉林省长春市普通高中高三一模考试英语试题
2018届XX省长春市普通高中高三一模考试题英语试题第Ⅰ卷第一部分听力（1-20小题）在笔试结束后进行。
第二部分阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下面短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该项涂黑。
AExhibitions in the BritishMuseumHokusai: beyond the Great WaveKatsushikaHokusai (1760-1849) is widely regarded as one of Japan's most famous andinfluential artists.He produced works of astonishing quality right up until his death at the ageof 90.This new exhibition will lead you on an artisticjourney through the last 30 years ofHokusai's life—a time when he produced some of his most memorable masterpieces.25 May—13 August 2017Room 35Adults￡12,Members/under 16s freePlaces of the mind: British watercolour landscapes 1850-1950Drawn from the British Museum's rich collection,this is the first exhibition devoted to landscape drawings and watercoloursby British artists in the Victorian and modern eras—twohalvesof very different centuries.23 February—27 August 2017Room 90Free,just drop inScythians:warriors of ancient SiberiaThis major exhibition explores the story of the Scythians—nomadic tribes and masters ofmounted warfare,who flourished between 900 and 200 BC.Their encounters with the Greeks,Assyrians and Persians were written into history but for centuries all trace of their culture waslost—buried beneath the ice.14 September 2017—14 January 2018Room 30Adults￡16.50,Members/under 16s freePolitics and paradise:Indian popular prints from the MoscatelliGiftThis display is part of the Museum's contribution to the India-UK Year of Culture 2017.Itlooks at the popular print culture ofIndia from the 1880s until the 1950s.19 July—3 September 2017Room 90aFree,just drop in21.If you are interested in drawings of natural scenery,you will probably go to______.A.Room 35B.Room 90C.Room 30D.Room 90a22.Which exhibition can you attend in October 2017?A.Hokusai: beyond the Great Wave.B.Scythians: warriors of ancient Siberia.C.Places ofthe mind: British watercolour landscapes 1850-1950.D.Politics and paradise: Indian popular prints from the Moscatelli Gift.23. Where can we most probably find the passage?A.In a health report.B.In a story book.C.In a parenting magazine.D.In a tour guide.BCeleste Ng,a new writer,has gained recognition for her first novel,EverythingINever ToldYou.Ng's parents came from Hong Kong,China in the 1960s.Ng was born in America and grewup in Pittsburgh, Pennsylvania,and Shaker Heights,Ohio,in afamily ofscientists.Celestewent to Harvard University and earned an MFA from the University of Michigan,where she won the Hopwood Award.Although her novel is not about race,the characters are Asian.The main character is Lydia,a teenage girl,who is the favorite of three children born to a white mother and a Chinese-American father.The story is aboutLydia's disappearance,and the emotions the family goesthrough as the mystery unfolds.The whole family deals with sorrow, regret,and exposedsecrets as they search for their lost daughter.Though the characters in this story are Asian,Ng says she didn't really want to includeAsian characters.She was afraid people would think the story was about real people in her life.Because she grew up in America and doesn't speak Chinese,she was actually surprised that n characters in the book.The book has taken off,especially on Amazon,where it won the Editor's Pick for No.1 Best Book of the Year in 2014.Ng is still getting used to the attention,saying she is stillamazed when people tell herthey have read her book. With so many readers,it's safe to saythis is a book you should read.But if you're looking for a simple mystery,this bookmight notbe for you.Most readers warn that you should not read this book unless you're prepared to cry.24.The novel Everything I Never Told You______.A.focuses on a family with a missing childB.discusses the ways to get rid of regretC.exposes the secret of the American worldD.talks about the life of teenagers in America25.Which of the following is TRUE according to Celeste Ng?A.She wanted to help the Asian people.B.She was surprised she wrote about Asian characters.C.She was born in Hong Kong and grew up in America.D.She wanted people to know the characters were real people in her life.26.How do most readers probably find the book?A.It's about race.B.It's a sad story.C.It's a simple mystery.D.It has a surprising ending.27.What is the text mainly about?A.Celeste Ng and her family.B.The awards Celeste Ng won.C.Celeste Ng's learning experience.D.Celeste Ng and her best-known novel.CLately a popular eight-floor bookstore in Hefei,Anhuiprovince,has risen to famebecauseit becomes the world's first shared bookstore,in a move meant to encourage more readingamong Chinese citizens.It comes to people's attention as more than 200,000 visitors flooded the store onits first dayas a shared bookstore on July 16 this year,a recordhigh since it was reopened to the public in2013.Some 4,000 books were brought home on the first day, reported.Customers are allowed to borrow up to two books valued under 150 yuan per visit afterregistering with an app and paying the 99 yuan deposit fee（押金）.All books on sale in the bookstore are available for sharing.Returned books that aredamaged are sold at a discount.The bookstore also provides a bonus for bookworms.Peoplewho finish reading 12 books in three months receive eight percent of their deposit back,andmembers can be rewarded one yuan for every book read."We want to bring down the cost of reading so people could read more books,"Xu Xinwei,who helps run the bookstore,told .Some parents buy a lot of books for their children,but they usually end up collecting dustas their children grow up.Similarly,some popular novels for young people also fall out offashion,according to Xu."Books are more effectively circulated when they're shared."28.The bookstore becomes a shared one.A.to make more moneyB.to make more room for new booksC.to inspire more people to readD.to recommend new books29.What does the underlined phrase“risen to fam e”in Paragraph 1 probably mean?A.Become well-known.B.Settled down.C.Broken up.D.Taken over.30.What can we infer.from the passage?A.The bookstore was once the best in Anhui province.B.The books that are sold here can't be borrowed.C.More than 4,000 books were taken home on July 16 in 2013.D.The cost ofreading can be reduced by sharing the books.31.What does the bookstore do to attract more readers?A.The bookstore encourages parents to buy more books for their children.B.The readers are allowed to borrow the books unconditionally.C.The readers who are members can receive one yuan for every book read.D.The bookstore is considering offering a bonus for anyone who likes reading.DCan exercise during childhood protect you against memory loss many decades later?Exercise early in life seems to have lifelong benefits for the brain,in rats at least."This is an animal study,but it shows that physical activity at a young age is very important一not just for physical development,but for the whole lifelong track of cognitive（认知的）development during ageing,"says Martin Wojtowicz of the University of Toronto,Canada."Inhumans,itmay delay the appearance of Alzheimer's symptoms（阿兹海默氏症）,possiblyto the point ofpreventing them."Wojtowicz's team divided 80 young male rats into two equal groups,and placed runningwheels in the cages of one group for a period of six weeks.Around four months later—whenthe rats had reached middle age—the team taught all the rats to connect an electric shock withbeing in a specific box.When placed in the box,they froze with fear.Two weeks later,the team tested the rats in three situations: exactly the same box in thesame room,the same box with the room arranged differently,and a completely different box ina different room.The rats without access to a running wheel when they were young now froze the samepercentage of times in each of these situations,suggesting they couldn't remember which onewas dangerous.But those that had been able to run in their youth froze 40 to 50 percent less inboth changed box settings.“The results suggest the amount of physi cal activity when we're young,at least for rats,has influence on brain and cognitive health—in the form of better memories—when we'reolder,"saysArthur KramerofNortheastern University in Boston,who has found that,inhumans,exercise promotes the growth of new brain cells.32.The study shows that______.A.physical activity is important for physical healthing the running wheels is ofbenefit to the rats' growthC.physical activity can prevent human's Alzheimer's symptomsD.the more exercise a rat has when young,the better memory it will possess when older33.How are Paragraph 3 and 4 mainly developed?A.By analyzing causes.B.By giving an example.C.By describing the process.D.By showing differences.34.What does the underlined word "it" in Paragraph 2 refer to?A.Exercise.B.Development.C.Benefit.D.Study.35.What is the author's attitude towards the animal study?A.Negative.B.Objective.C.Critical.D.Doubtful.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。
东北师范大学附属中学2018年五校联考英语答案
五校联考答案1.A2.C3.B4.C5.A6.C7.B8.A9.C10.A 11.B 12.A 13.B14.A15.C16.C 17.A 18.A 19.B 20.C 21.C 22.D 23.B 24.C 25.D 26.B 27.A 28.C 29.A 30.B 31.D 32.A 33.C 34.D 35.B 36.G 37.F 38.C 39.D 40.B 41.C 42.B 43.B 44.A 45.D 46.C 47.A 48.A 49.D 50.B 51.C 52.B 53.A 54.C 55.D 56.B 57.D 58.C 59.D 60.A 61. appointed 62. extremely 63. inconsiderate 64.participants 65. provided66.that 67.an 68.for 69. to blame 70.whatDear Tom,How is everything going? Since you are interesting in the shadow play, I would like tointerestedintroduce it to you.As the traditional Chinese folk art, the shadow play has been existed in China for centuries. It acan date back to the Han Dynasty, where Emperor Liu Che lost his beloved wife Li. Depressedwhenabout his death, he even ignored the state affairs, worrying his officials. Then they made a puppet herwith the image of Li but performed before the Emperor. He was pleased and asked them toandspread the art form.Unfortunate, it is becoming less attractive due to the impact of modern medium. BothUnfortunately mediaChinese artists and the government are making great efforts ︿conserve the ancient art form.toIf you want to know much, don’t hesitate to tell me.moreBest wishesYours,Li Hua【参考范文】Virtues accompany my growthVirtues are jewels of great price. I’m delighted to find honesty, the most valuable virtue in my heart, is always accompanying my growth.As a child, I was constantly told by adults around me the fable The Wolf Is Coming, which obviously has a lasting influence on my way of life. Over time, I’ve increasingly realized the importance of honesty and tried to carry it out. From my experience, I’ve forever kept in mind that only when I’m honest and reliable, will I be trusted by others.Actually, being honest, I’ve found it easier to make friends and cooperate with others. So it is the virtue of honesty that is to help me open the door to success of my career and life.听力原文：Text 1W：Hi.Welcome back.Did you have a good time during your vacation?M：Well，we found it was so crowded when we finally got there.But all in all，it was a satisfying trip.Text 2W：It’s going to take another two weeks to get all the data needed for our research project.M：Good! that it’s not due until the end of the semester.Text 3W：Sir，is there still any time for a cup of coffee?M：Yes，but you have to drink it fast，because we’ll be landing in 10 minutes.Text 4W：What do you think of our new manager Mr.Oliver?M：Well，he always shows what he is thinking and feeling clearly and directly.Text 5W：I wish Jane would call when she knew she would be late.This is not the first time we’ve had to wait for her.M：I agree.But she does have to drive through very heavy traffic to get here.Text 6M: Didn’t you want to go to the western art museum? I thought you were interested in cowboys. W: I only wanted to go there because it’s free. Oh, and it’s really close to home. But now I’m interested in the modern art exhibit.M: That’s a three-hour drive from here! And it’ll be so crowded there.W: But Mom gave me fifty dollars to spend on my spring break. And I really want to go.M: I’m not sure I can drive you there, Linda. My spring break is a week later than yours.W: I know. But we could go on the weekend. Come on! It’s a nice drive, Sam.M: OK. I guess that’s what big brothers are for.Text 7W：Somebody just took my purse.My money，my credit cards and everthing is gone.M：All right，just calm down...OK.Now，how much money was in it？What did the person look like?W：Around 350 pounds.The man was quite tall and thin.Around 1.75 meters tall.Something like that.M：How old was he?W：I’m not sure.He was fairly young，I think...Seventeen or eighteen.M：And what was he wearing?W：He was wearing old jeans and a yellow T-shirt and boots.Oh，yes，and he was wearing glasses. M：Fine.Now tell me about your purse.What did it look like?W：Well，it was red and it had a shoulder strap.It was made of leather.M：Now，please write down your name and your telephone number.Text 8W：Good morning，can I help you?M：Yes，I’d like to open an account.W：Certainly sir.Would you like a Silver or a Gold account?M：What’s the difference?W：You can open a Silver account with just US 5.The account comes with a cash card so that you can withdraw your money at any time.The Silver account currently pays 5% interest.For the Gold account you need a minimum of US500，and you have to give 14 days’ notice to withdraw money.The interest rate is 6.5%.M：I’ll go for the Silver account.W：How much would you like to put into the account?M：US500.W：And we’ll need two proofs of ID：driver’s license，credit card statement，and so on.M：Sorry，I don’t have any of those on me.I’ll come back tomorro w.Text 9M：Which games do you like?W：I like board games，like Chinese chess.M：I’ve never played Chinese chess before，but I’ve seen old men playing it in the streets.It looks difficult.W：Yes.Although the basic rules and moves are simple enough，there are many strategies that players need to learn.Which kind of games do you like?M：I like playing cards best.I’m pretty good at poker.Do you play cards?W：I’m terrible at cards.M：Then do you play bridge?W：Yes，I do.It’s hard to find four players，so I only play it occasionally.Do you know anyone who plays？If so，we could set up a game.M：I play quite well.I have a friend who likes playing，but she’s not very good at it.Shall I invite her to play?W：Sure，I have a friend who can play fairly well.When we are all free，we should arrange a game. M：I’m looking forward to it.Text 10Hello.Welcome to Green Park Zoo.It was opened in 1958.And it covers an area of 110 hectares.Over 120 different types of animals are kept at present in the zoo.This number does not include the different types of fish，birds and snakes which are also kept here.This zoo has one of the largest collections of deer in the world.There are 24 different types here at present.You will notice that there are no cages in this zoo.The animals are free to run around in separate groups in different fields.Please do not feed any of the animals.Here are some reasons for this.First，all the animals have enough to eat. Some visitors have in the past fed the animals with kinds of food which is not suitable.This sometimes used to cause illness and even death to the animals.Second，some of the animals have very sharp teeth.It is not safe to get close to them.Please note that the gates close at 5：00 pm on weekdays and an hour later on weekends.We hope you will make your visit more enjoyable and interesting.。
2018年吉林省长春十一中、东北师大附中、吉林一中、重庆一中等五校联考高考英语模拟试卷(1月份)
Tianjin University
Moving to China is not for the faint hearted．Undergraduate degree courses at Tianjin last four years．Living costs are only around £ 400 a month and tuition fees are £ 2, 300 a year．Flights will cost £ 3, 600 over the four years．The total cost, at £ 28, 800, is still around half that of a three﹣year degree in Britain．Tianjin is one of the world’s latest cities and is only a half﹣hour train ride from Beijing．Three undergraduate programs are offered in English:
University of Amsterdam
The Dutch capital is not a cheap city to live in, but standard tuition fees of £ 1, 800 a year make it significantly cheaper than a British degree．There are 14bachelor’s degrees on offer that are taught in English, including Political Science, Economics & Business Economics and Actuarial Science．Nearly all Dutch people speak English, making it an easy country to get by in．
【英语】吉林省长春市第十一高中、东北师范大学附属中学、等五校2018届高三1月联合模拟考试英语试题
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;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。
例：How much is the shirt?A. £19.15B. £9.15C. £9.181. How was the man’s vacation?A. Good.B. Boring.C. Terrible.2. When is the project due?A. In one week.B. In two weeks.C. At the end of this semester.3. Where does the conversation take place?A. In a cafe.B. On a plane.C. In an office.4. What is Mr. Oliver like?A. Polite.B. Helpful.C. Frank.5. What do we know about Jane?A. She is often late.B. She is a bad driver.C. She hates waiting.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. What does the woman want the man to do?A. Put off spring break.B. See some western art.C. Drive her to the exhibit.7. What is the relationship between the speakers?A. Mother and Son.B. Brother and Sister.C. Taxi driver and Passenger.听第7段材料，回答第8、9题。
【数学】吉林省长春市第十一高中等五校2018届高三1月联合模拟考数学(理)试题
2018届高三联合模拟考试数学（理科）试题第Ⅰ卷（共60分）一、选择题：本大题共12个小题，每小题5分，共60分.在每小题给出的四个选项中，只有一项是符合题目要求的.1. 已知全集）【答案】A故选A2. ）A. 第一象限B. 第二象限C. 第三象限D. 第四象限【答案】A故选A3. 以下有关命题的说法错误．．的是（）A. ”的逆否命题为“若B.C. 对于命题，均有D. 与至少有一个为真命题【答案】D【解析】对于A.正确：对于B. ”，故“分条件，正确；对于C.正确；对于D.D错误.故选D4. 下列函数中既是偶函数又在）D.【答案】B【解析】对于R,奇函数；故排除A；对于对，是偶函数，但在C；对于 D.故选B5. 我国南北朝时的数学著作《张邱建算经》有一道题为：“今有十等人，每等一人，宫赐金以等次差降之，上三人先入，得金四斤，持出，下三人后入得金三斤，持出，中间四人未到者，亦依次更给，问各得金几何？”则在该问题中，等级较高的二等人所得黄金比等级较低的九等人所得黄金（）A. 多1斤B. 少1斤C.D.【答案】C则，故选C6. ）A. 3B. 4C. 5D. 6【答案】B不满足退出循环的条件；不满足退出循环的条件；，满足退出循环的条件；4，故选B【点睛】本题考查的知识点是程序框图，当循环的次数不多，或有规律时，常采用模拟循环的方法解答．7. 图象上所有点的横坐标缩短到原来的，得到函数的图象，则函数）【答案】D【解析】图象上所有点的横坐标缩短到原来的（纵坐标不变），得到的图象，则.即函数的图象的一个对称中心是故选D8.其中所有正确命题的序号是（）A. ①②B. ②③C. ③④D. ①④【答案】D若m∥α，m∥n，则n∥α或n⊂α，故③错误；故选D．9. 已知实数）C. -2D. -1【答案】C【解析】由约束条件故选C．10. 下列命题：①在线性回归模型中，表示解释变量的贡献率，越接近于1，表示回归效果越好；②两个变量相关性越强，则相关系数的绝对值就越接近于1；0.5个单位；④对分类变量与，它们的随机变量的观测值与的把握程度越大.其中正确命题的个数是（）A. 1个B. 2个C. 3个D. 4个【答案】C【解析】对于①，在回归分析模型中，相关指数的贡献率，越接近于1合效果越好，①正确．对于②两个变量相关性越强，则相关系数的绝对值就越接近于1；每增加一个单位时，预报变量少0.5个单位；正确；，它们的随机变量握程度越大.故选C11. 某几何体的三视图如图所示，则该几何体的体积是（）【答案】D故选D12. 两点，是坐标原点，且，则双曲线的离心率为（）C.【答案】A【解析】可得：，故选A.第Ⅱ卷（共90分）二、填空题（每题5分，满分20分，将答案填在答题纸上）13. __________．【答案】5，解得∴常数项即答案为514. ．．又圆的半径是2，，所以故答案为．15. 已知数列．【解析】当时，；两式相减得故即答案为16. 已知函数满足若在区间__________．故函数作函数与的图象如下，，，故，故故，的取值范围是【点睛】本题考查了方程的根与函数的图象的交点的关系应用，同时考查了导数的综合应用及数形结合的思想应用．三、解答题（本大题共6小题，共70分.解答应写出文字说明、证明过程或演算步骤.）17. 已知函数的最小正周期和单调递减区间；.【解析】试题分析：（Ⅰ）由三角函数公式化简可得值；可得，结合由余弦定理可得边的长试题解析：的最小正周期所以的单调递减区间是，，又∵∴，的面积为∴18. 为了调查观众对电视剧《风筝》的喜爱程度，某电视台举办了一次现场调查活动.在参加此活动的甲、乙两地观众中，各随机抽取了8名观众对该电视剧评分做调查（满分100分），被抽取的观众的评分结果如图所示.（Ⅰ）计算：①甲地被抽取的观众评分的中位数；②乙地被抽取的观众评分的极差；（Ⅱ）用频率估计概率，若从乙地的所有观众中再随机抽取4人进行评分调查，记抽取的4人评分不低于90（Ⅲ）从甲、乙两地分别抽取的8名观众中各抽取一人，在已知两人中至少一人评分不低于90分的条件下，求乙地被抽取的观众评分低于90分的概率.【答案】(Ⅰ)中位数是83【解析】试题分析：（Ⅰ）直接利用茎叶图求解甲地被抽取的观众问卷得分的中位数和乙地被抽取的观众评分的极差；；（Ⅱ）记“从乙地抽取1人进行评分调查，其评分不低于90得到分布列，然后求解期望．为“从甲、乙两地分别抽取的8名观众中各抽取一人，两人中至少一人评分不低于908名观众中各抽取一人，乙地观众评分低于90分”，则90分的概率.试题解析：（Ⅰ）由茎叶图可知，甲地被抽取的观众评分的中位数是83，乙地被抽取的观众评分的极差（Ⅱ）记“从乙地抽取1人进行评分调查，其评分不低于90的分布列为（Ⅲ）由茎叶图可得，甲地被抽取的8名观众中有2名观众评分不低于90分，乙地被抽取的8名观众中有2名观众评分不低于908名观众中各抽取一人，两人中至少一人评分不低于908名观众中各抽取一人，乙地观众评分低于90分”，所以在已知两人中至少一人评分不低于90分的条件下，乙地被抽取的观众评分低于90分的19. 如图，已知，，，..【解析】试题分析：（Ⅰ）证明：设方向为的法向量，可得与平面.试题解析：中点为，∴为平等四边形，∴，方向为，设平面与平面所成角为，则20. 已知椭圆的短轴长为，点的左焦点.最小值.【解析】试题分析：........................试题解析：的方程是斜率为∴∴四边形面积时等号成立，四边形面积的最小值为【点睛】本题考查椭圆方程的求法，直线与椭圆的位置关系，直线与椭圆相切的充要条件，考查四边形面积的最值的求法，注意运用直线的斜率公式和基本不等式，考查化简整理的运算能力．21. 已知函数.【答案】(Ⅰ)【解析】试题分析: ∵函数与函数对称，∴，（Ⅱ）当时，由（Ⅰ）知利用导数研究.，即可求出实数的取值范围.试题解析:∵函数，，则.，所以所以在所以当函数有且仅有一个零点时，，上单调递增，在.，即为所求.请考生在22、23两题中任选一题作答，如果多做，则按所做的第一题记分.22. 的方程是（，为极点，.，值范围.【解析】试题分析：（I）直线的方程是，利用可得普通方程，进而化为极坐标方程．（II）将分别带入试题解析：（Ⅰ）∵消参数得∴曲线的极坐标方程是，∴的取值范围是23. 已知函数，.【解析】试题分析：写成分段函数的形式，分类讨论，分别求得不等式解集，综合可得结论．试题解析：化为时，不等式化为的最小值是【点睛】本题考查绝对值不等式的解法，绝对值三角不等式的应用，考查基本不等式的应用.其中灵活应用分类讨论的思想是解题的关键.2018年高考考前猜题卷理科数学 第Ⅰ卷（共60分）一、选择题：本大题共12个小题，每小题5分，共60分．在每小题给出的四个选项中，只有一项是符合题目要求的． 1．设复数z 满足iii z 2|2|++=，则=||z （ ） A ．3 B ．10 C ．9 D ．102．已知全集R U =，集合}012|{2≥--=x x x M ，}1|{x y x N -==，则=N M C U )(（ ）A ．}1|{≤x xB ．}121|{≤<-x xC ．}121|{<<-x x D ．}211|{<<-x x3．已知蚂蚁在边长为4的正三角形区域内随机爬行，则它在离三个顶点的距离都大于2的区域内的概率P 为（ ） A ．631π-B ．43C ．63π D ．414．已知双曲线)0,0(12222>>=-b a by a x ，过双曲线左焦点1F 且斜率为1的直线与其右支交于点M ，且以1MF 为直径的圆过右焦点2F ，则双曲线的离心率是（ ） A ．12+ B ．2 C ．3 D ．13+5．一个算法的程序框图如图所示，如果输出y 的值是1，那么输入x 的值是（ ）A ．2-或2B ．2-或2C ．2-或2D ．2-或2 6．已知函数)2||,0)(3sin()(πϕωπω<>+=x x f 的图象中相邻两条对称轴之间的距离为2π，将函数)(x f y =的图象向左平移3π个单位后，得到的图象关于y 轴对称，那么)(x f y =的图象（ ） A ．关于点)0,12(π对称 B ．关于点)0,12(π-对称C ．关于直线12π=x 对称 D ．关于直线12π-=x 对称7．如下图，网格纸上小正方形的边长为1，图中实线画的是某几何体的三视图，则该几何体最长的棱的长度为（ ）A.32 B.43C. 2D. 411 8．已知等差数列}{n a 的第6项是6)2(xx -展开式中的常数项，则=+102a a （ ）A ．160B ．160-C ．350D ．320- 9．已知函数)0(212)(<-=x x f x与)(log )(2a x x g +=的图象上存在关于y 轴对称的点，则a 的取值范围是（ ）A ．)2,(--∞B ．)2,(-∞C ．)22,(--∞D ．)22,22(- 10．已知正四棱台1111D C B A ABCD -的上、下底面边长分别为22,2，高为2，则其外接球的表面积为（ ）A ．π16B ．π20C ．π65D ．π465 11．平行四边形ABCD 中，2,3==AD AB ，0120=∠BAD ，P 是平行四边形ABCD 内一点，且1=AP ，若y x +=，则y x 23+的最大值为（ ） A ．1 B ．2 C ．3 D ．412．设n n n C B A ∆的三边长分别为n n n c b a ,,，n n n C B A ∆的面积为,3,2,1,=n S n …，若n n a a a c b ==++1111,2，2,211nn n n n n a b c a c b +=+=++，则（ ） A ．}{n S 为递减数列 B ．}{n S 为递增数列C ．}{12-n S 为递增数列，}{2n S 为递减数列D ．}{12-n S 为递减数列，}{2n S 为递增数列二、填空题（每题4分，满分20分，将答案填在答题纸上）13．函数x a x a x x f )3()1()(24-+--=的导函数)('x f 是奇函数，则实数=a .14．已知y x ,满足约束条件⎪⎩⎪⎨⎧≥+≤-≥+-002043y x x y x （R y x ∈,），则22y x +的最大值为 .15．已知F 为抛物线x y C 4:2=的焦点，过点F 作两条互相垂直的直线21,l l ，直线1l 与C 交于B A ,两点，直线2l 与C 交于E D ,两点，则||||DE AB +的最小值为 . 16．在锐角三角形ABC 中，角C B A ,,的对边分别为c b a ,,，且满足ac a b =-22，则BA tan 1tan 1-的取值范围为 . 三、解答题 （本大题共6题，共70分．解答应写出文字说明、证明过程或演算步骤．） 17．已知等比数列}{n a 的前n 项和为n S ，且满足)(221R m m S n n ∈+=+. （1）求数列}{n a 的通项公式； （2）若数列}{n b 满足)(log )12(112+⋅+=n n n a a n b ，求数列}{n b 的前n 项和n T .18．小张举办了一次抽奖活动.顾客花费3元钱可获得一次抽奖机会.每次抽奖时，顾客从装有1个黑球，3个红球和6个白球（除颜色外其他都相同）的不透明的袋子中依次不放回地摸出3个球，根据摸出的球的颜色情况进行兑奖.顾客中一等奖，二等奖，三等奖，四等奖时分别可领取的奖金为a 元，10元，5元，1元.若经营者小张将顾客摸出的3个球的颜色分成以下五种情况：1:A 个黑球2个红球；3:B 个红球；:c 恰有1个白球；:D 恰有2个白球；3:E 个白球，且小张计划将五种情况按发生的机会从小到大的顺序分别对应中一等奖，中二等奖，中三等奖，中四等奖，不中奖.（1）通过计算写出中一至四等奖分别对应的情况（写出字母即可）； （2）已知顾客摸出的第一个球是红球，求他获得二等奖的概率；（3）设顾客抽一次奖小张获利X 元，求变量X 的分布列；若小张不打算在活动中亏本，求a 的最大值.19．如图，三棱柱111C B A ABC -中，侧面C C BB 11为菱形，0160=∠CBB ，1AC AB =.（1）证明：平面⊥C AB 1平面C C BB 11；（2）若C B AB 1⊥，直线AB 与平面C C BB 11所成的角为030，求直线1AB 与平面C B A 11所成角的正弦值.20．如图，圆),(),0,2(),0,2(,4:0022y x D B A y x O -=+为圆O 上任意一点，过D 作圆O 的切线，分别交直线2=x 和2-=x 于F E ,两点，连接BE AF ,，相交于点G ，若点G 的轨迹为曲线C .（1）记直线)0(:≠+=m m x y l 与曲线C 有两个不同的交点Q P ,，与直线2=x 交于点S ，与直线1-=y 交于点T ，求OPQ ∆的面积与OST ∆的面积的比值λ的最大值及取得最大值时m 的值.（注：222r y x =+在点),(00y x D 处的切线方程为200r yy xx =+）21．已知函数x a x g x x f ln )(,21)(2==. （1）若曲线)()(x g x f y -=在2=x 处的切线与直线073=-+y x 垂直，求实数a 的值；（2）设)()()(x g x f x h +=，若对任意两个不等的正数21,x x ，2)()(2121>--x x x h x h 恒成立，求实数a 的取值范围；（3）若在],1[e 上存在一点0x ，使得)(')()('1)('0000x g x g x f x f -<+成立，求实数a 的取值范围.请考生在22、23二题中任选一题作答，如果都做，则按所做的第一题记分. 22．选修4-4：坐标系与参数方程在直角坐标系xOy 中，曲线1C 的参数方程为⎪⎩⎪⎨⎧==21t a y t x （其中t 为参数，0>a ），以坐标原点O 为极点，x 轴的正半轴为极轴建立的极坐标系中，直线l ：0sin cos =+-b θρθρ与2C ：θρcos 4-=相交于B A ,两点，且090=∠AOB . （1）求b 的值；（2）直线l 与曲线1C 相交于N M ,两点，证明：||||22N C M C ⋅（2C 为圆心）为定值. 23．选修4-5：不等式选讲已知函数|1||42|)(++-=x x x f . （1）解不等式9)(≤x f ；（2）若不等式a x x f +<2)(的解集为A ，}03|{2<-=x x x B ，且满足A B ⊆，求实数a的取值范围.参考答案一、选择题：本大题共12小题，每小题5分，共60分．在每个小题给出的四个选项中，只有一项是符合题目要求的．二、填空题：本大题共4小题，每小题5分，共20分． 13．3 14．8 15．16 16．)332,1( 三、解答题：本大题共6小题，满分70分．解答须写出文字说明、证明过程和演算步骤．17．解：（1）由)(221R m m S n n ∈+=+得⎪⎪⎪⎩⎪⎪⎪⎨⎧+=+=+=282422321m S m S m S ，)(R m ∈，从而有4,2233122=-==-=S S a S S a ， 所以等比数列}{n a 的公比223==a a q ，首项11=a ，因此数列}{n a 的通项公式为)(2*1N n a n n ∈=-.（2）由（1）可得12)22(log )(log 1212-=⋅=⋅-+n a a n n n n ， ∴)121121(21)12)(12(1+--⨯=-+=n n n n b n ∴)1211215131311(2121+--++-+-⨯=+++=n n b b b T n n 12+=n n. 18．解：（1）4011203)(31023===C C A P ；12011)(310==C B P ，10312036)(3102416===C C C C P ，2112060)(3101426===C C C D P ，6112020)(31036===C C E P∵)()()()()(D P C P E P A P B P <<<<， ∴中一至四等奖分别对应的情况是C E A B ,,,.（2）记事件F 为顾客摸出的第一个球是红球，事件G 为顾客获得二等奖，则181)|(2912==C C F G P .（3）X 的取值为3,2,2,7,3---a ，则分布列为由题意得，若要不亏本，则03212103)2(61)7(401)3(1201≥⨯+⨯+-⨯+-⨯+-⨯a ， 解得194≤a ，即a 的最大值为194.19．解：（1）证明：连接1BC ，交C B 1于O ，连接AO ， ∵侧面C C BB 11为菱形，∴11BC C B ⊥ ∵为1BC 的中点，∴1BC AO ⊥ 又O AO C B = 1，∴⊥1BC 平面C AB 1又⊂1BC 平面C C BB 11，∴平面⊥C AB 1平面C C BB 11.（2）由B BO AB C B BO C B AB =⊥⊥ ,,11，得⊥C B 1平面ABO 又⊂AO 平面ABO ，∴C B AO 1⊥，从而1,,OB OB OA 两两互相垂直，以O 为坐标原点，的方向为x 轴正方向，建立如图所示的空间直角坐标系xyz O -∵直线AB 与平面C C BB 11所成角为030，∴030=∠ABO设1=AO ，则3=BO ，∵0160=∠CBB ，∴1CBB ∆是边长为2的等边三角形∴)0,1,0(),0,1,0(),0,0,3(),1,0,0(1-C B B A ，则)1,0,3(),0,2,0(),1,1,0(1111-==-=-=AB B A C B AB 设),,(z y x =是平面C B A 11的法向量，则⎪⎩⎪⎨⎧=⋅=⋅00111C B n B A n 即⎩⎨⎧=-=-0203y z x ，令1=x ，则)3,0,1(=n设直线1AB 与平面C B A 11所成的角为θ， 则46||||||,cos |sin ==><=n AB θ. 20．解：（1）易知过点),(00y x D 的切线方程为400=+y y x x ，其中42020=+y x ，则)24,2(),2,2(000y x F y x E +--， ∴4116416416424424220020000021-=-=--=-⋅-+=y y y x y x y x k k 设),(y x G ，则144122412221=+⇒-=+⋅-⇒-=y x x y x y k k （0≠y ） 故曲线C 的方程为1422=+y x （0≠y ） （2）联立⎩⎨⎧=++=4422y x mx y 消去y ，得0448522=-++m mx x ，设),(),,(2211y x Q y x P ，则544,5822121-=-=+m x x m x x ，由0)44(206422>--=∆m m 得55<<-m 且2,0±≠≠m m∴22221221255245444)58(24)(11||m m m x x x x PQ -=-⨯--⨯=-++=，易得)1,1(),2,2(---+m T m S ， ∴)3(2)3()3(||22m m m ST +=+++=，∴22)3(554||||m m ST PQ S S OSTOPQ +-===∆∆λ，令)53,53(,3+-∈=+t t m 且5,3,1≠t ，则45)431(4544654222+--⨯=-+-=t t t t λ， 当431=t ，即43=t 时，λ取得最大值552，此时35-=m . 21．解：（1）xax y x a x x g x f y -=-=-=',ln 21)()(2 由题意得322=-a，解得2-=a （2）)()()(x g x f x h +=x a x ln 212+=对任意两个不等的正数21,x x ，2)()(2121>--x x x h x h 恒成立，令21x x >，则)(2)()(2121x x x h x h ->-，即2211)(2)(x x h x x h ->-恒成立 则问题等价于x x a x x F 2ln 21)(2-+=在),0(+∞上为增函数 2)('-+=xax x F ，则问题转化为0)('≥x F 在),0(+∞上恒成立，即22x x a -≥在),0(+∞上恒成立，所以1)2(max 2=-≥x x a ，即实数a 的取值范围是),1[+∞. （3）不等式)(')()('1)('0000x g x g x f x f -<+等价于0000ln 1x ax a x x -<+，整理得01ln 000<++-x ax a x ，构造函数x a x a x x m ++-=1ln )(， 由题意知，在],1[e 上存在一点0x ，使得0)(0<x m2222)1)(1()1(11)('x x a x x a ax x x a x a x m +--=+--=+--=因为0>x ，所以01>+x ，令0)('=x m ，得a x +=1①当11≤+a ，即0≤a 时，)(x m 在],1[e 上单调递增，只需02)1(<+=a m ，解得2-<a ； ②当e a ≤+<11，即10-≤<e a 时，)(x m 在a x +=1处取得最小值.令01)1ln(1)1(<++-+=+a a a a m ，即)1l n (11+<++a a a ，可得)1ln(11+<++a aa （*） 令1+=a t ，则e t ≤<1，不等式（*）可化为t t t ln 11<-+ 因为e t ≤<1，所以不等式左端大于1，右端小于或等于1，所以不等式不能成立. ③当e a >+1，即1->e a 时，)(x m 在],1[e 上单调递减，只需01)(<++-=eaa e e m 解得112-+>e e a .综上所述，实数a 的取值范围是),11()2,(2+∞-+--∞e e . 22．解：（1）由题意可得直线l 和圆2C 的直角坐标方程分别为0=+-b y x ，4)2(22=++y x∵090=∠AOB ，∴直线l 过圆2C 的圆心)0,2(2-C ，∴2=b . （2）证明：曲线1C 的普通方程为)0(2>=a ay x ，直线l 的参数方程为⎪⎪⎩⎪⎪⎨⎧=+-=ty t x 22222（t 为参数），代入曲线1C 的方程得04)2222(212=++-t a t ， 04212>+=∆a a 恒成立，设N M ,两点对应的参数分别为21,t t ，则821=t t ， ∴8||||22=N C M C ， ∴||||22N C M C 为定值8.23．解：（1）由9)(≤x f 可得9|1||42|≤++-x x ，即⎩⎨⎧≤->9332x x 或⎩⎨⎧≤-≤≤-9521x x 或⎩⎨⎧≤+--<9331x x解得42≤<x 或21≤≤-x 或12-<≤-x ， 故不等式9)(≤x f 的解集为]4,2[-.（2）易知)3,0(=B ，由题意可得a x x x +<++-2|1||42|在)3,0(上恒成立⇒1|42|-+<-a x x 在)3,0(上恒成立1421-+<-<+-⇒a x x a x 在)3,0(上恒成立 3->⇒x a 且53+->x a 在)3,0(上恒成立⎩⎨⎧≥≥⇒50a a 5≥⇒a .。
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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;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。
例：How much is the shirt?A. £19.15B. £9.15C. £9.181. How was the man’s vacation?A. Good.B. Boring.C. Terrible.2. When is the project due?A. In one week.B. In two weeks.C. At the end of this semester.3. Where does the conversation take place?A. In a cafe.B. On a plane.C. In an office.4. What is Mr. Oliver like?A. Polite.B. Helpful.C. Frank.5. What do we know about Jane?A. She is often late.B. She is a bad driver.C. She hates waiting.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. What does the woman want the man to do?A. Put off spring break.B. See some western art.C. Drive her to the exhibit.7. What is the relationship between the speakers?A. Mother and Son.B. Brother and Sister.C. Taxi driver and Passenger.听第7段材料，回答第8、9题。
8. What happened to the woman?A. She was robbed.B. Her house was broken into.C. She lost her purse somewhere.9. What color is the woman’s purse?A. Blue.B. Yellow.C. Red.听第8段材料，回答第10至12题。
10. What is the woman probably?A. A bank clerk.B. A post officer.C. A shop assistant.11. What does the man want to do?A. He wants to withdraw his money.B. He wants to open an account.C. He wants to buy some products.12. Why does the man have to come back tomorrow?A. He forgets to take any proofs of ID.B. He doesn’t have enough money.C. He is not interested in the product.听第9段材料，回答第13至16题。
13. Which game does the man like best?A. Chinese chess.B. Cards.C. Bridge.14. What does the woman think of Chinese chess?A. Complicated.B. Simple.C. Boring.15. Why does the woman only play bridge occasionally?A. She doesn’t like itB. She isn’t good at it.C. It’s hard to find four players.16. What does the man look forward to?A. Learning to play bridge.B. Setting up a cards game.C. Arranging a bridge game with the woman.听第10段材料，回答第17至20题。
17. How long has the zoo been open?A. For about 60 years.B. For about 110 years.C. For about 120 years.18. What collection of animals is the largest in the zoo?A. Deer.B. Fish.C. Birds.19. What is forbidden in the zoo?A. Opening the cages.B. Feeding the animals.C. Playing with animals.20. When does the zoo close on weekends?A. At 4:00 p.m.B. At 5:00 p.m.C. At 6:00 p.m.第二部分阅读理解（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，从每题所给的四个选项(A、B、C和D)中，选出最佳选项。
AUK is becoming a popular destination for people who wish to study abroad. However, Britain is quite an expensive place to study and live in. Tuition fees have now reached £ 9,250 a year and students also face some of the highest living costs in the world.Fortunately there are a number of countries where universities offer degree programs entirely in English, along with the chance to learn the local language while you live there. Here are three of the options broken down in detail.University of AmsterdamThe Dutch capital is not a cheap city to live in, but standard tuition fees of £ 1,800 a year make it significantly cheaper than a British degre e. There are 14 bachelor’s degrees on offer that are taught in English, including Political Science, Economics & Business Economics and Actuarial Science. Nearly all Dutch people speak English, making it an easy country to get by in.Tianjin UniversityMoving to China is not for the faint hearted. Undergraduate degree courses at Tianjin last four years. Living costs are only around £ 400 a month and tuition fees are £ 2,300 a year. Flights will cost £ 3,600 over the four years. The total cost, at £ 28,800, is still around half that of a three-year degree in Britain. Tianjin is one of the world’s latest cities and is only a half-hour train ride from Beijing. Three undergraduate programs are offered in English:Chemical Engineering, Environment & Energy and Pharmaceutical Science.University of MilanThe University of Milan’s fees range from £ 140 to £3,650 a year. The one bachelor’s degree offered entirely in English-Political Science-is a three-year course. While living costs in Milan are high, the significantly lower fees make it a cheaper option than a British university.21. Where can you major in Political Science?A. London and Tianjin.B. Amsterdam and London.C. Amsterdam and Milan.D. Tianjin and Milan.22. What is probably the total cost of a three-year degree in Britain?A. £ 14,400B. £ 27,750C. £ 28,800D.£ 57,60023. What is the purpose of the text?A. To encourage people to study abroad.B. To introduce some affordable universities.C. To advertise some degree programs.D. To compare tuition fees and living costs.BAging happens to all, and is generally considered as a natural part of life. It would seem silly to call such a thing a “disease.”However, scientists are increasingly learning that aging and biological age are two different things, and that the former is a key risk factor for conditions such as heart disease, cancer and many more. In that light, aging itself might be seen as something treatable, the way you would treat high blood pressure.Biophysicist Alex Zhavoronkov believes that aging should be considered a disease. He said that describing aging as a disease creates encouragement to develop treatments.“It unties the hands of the pharmaceutical (制药的) industry so that they can begin treating the disease and not just the side effects,” he said.“Right now, people think of aging as natural and something you can’t control,” he said. “In academic circles, people take aging research as just an interest area where they can try to develop .interventions (干预). The medical community also takes aging for granted, and can do nothing about it except keep people within a certain health range.”But if aging were recognized as a disease, he said, “It would attract funding and change the way we do health care. What matters is understanding that aging is curable.”“It was always known that the body accumulates damage.” he added. “The only way to cure aging is to find ways to repair that damage. I think of it as preventive medicine for age-related conditions.”Leonard Hayflick, a professor at the University of California, San Francisco, said the idea that aging can be cured implies the human lifespan (寿命) can be increased, which some researchers suggest is possible. Hayflick is not among them.“There’re many people who recover fr om cancer, stroke, or heart disease. But they continue to age, because aging is separate from their disease,” Hayflick said, “Even if those causes of death were removed, life expectancy would still not go much beyond 92 years.”24. What do people generally believe about aging?A. It should be prevented and treated.B. It should be regarded as a kind of disease.C. They just cannot do anything about itD. They can delay it with advances in science.25. What does Alex Zhavoronkov think of “describing aging as a disease”?A. It will help to reduce the side effects of aging greatly.B. It will make people determined to take aging for granted.C. It will limit chemists to the conventional beliefs about aging.D. It will motivate doctors and chemists to find ways to treat aging.26. What’s Hayflick’s attitude towards the possibility of increasing the human lifespan?A. Positive.B. Negative.C. Indifferent.D. Ambiguous.27. Where could you possibly read this passage?A. In a popular magazine.B. Ina tourist guidebook.C. In a science textbook.D. In an official report.COn a cold spring day, Max Freed, the owner of a shirt-making company, was returning to his factory with a bundle (捆) of orders beneath his arm. Business was good and Max, although only 30, was carving out a niche as a successful businessman.As he walked to his office, he noticed a young girl across the street, on her hands and knees, washing the front steps of Churchill’s, a clothing wholesaler. The young girl looked familiar. Then Freed recalled she was the butcher’s daughter Jenny. Freed went to his office and phoned the butcher. Through the butcher, Freed knew Jenny wanted to go back to college but her family couldn’t afford to send her.The next night, Freed met Jenny in his office. He offered to put Jenny through college. A smile broadened across her face. She couldn’t believe it. Before handing over a cheque, Freed told Jenny, “There are several conditions I insist on. First, you must tell no one where this money came from.” The girl nodded. “Second, you must maintain top grades; I’m not sending you to college to play.” “Third, this is a loan (贷款). You have to pay me back every penny when you can afford to. And lastly, you must promise to do this for someone else in your li fetime.” “Thank you. Mr. Freed,” Jenny replied. “I won’t disappoint you.”Each month Jenny visited Freed to report on her progress. At the University, she earned high grades, was near the top of her class and was elected president of the student body. Jenny began repaying the debt as soon as she landed her first job after college. After three years she paid off all the money. Through her life, she never forgot the day she’d been given the opportunity she needed to succeed. Also, she helped several young people through college.There was one promise she made to Max Freed that she couldn’t keep. For nearly 30 years, she told no one her sponsor. But she finally decided to tell her story because she felt it would inspire others to help someone, and because she felt that Max Freed deserved the recognition despite wanting to be anonymous (匿名).No matter what we do in life, no matter how high we climb the ladder of success, we will eventually be remembered for how we helped others less fortunate than ourselves.28. What does the underlined phrase “carving out a niche” in paragr aph 1 refer to?A. Filling orders.B. Beginning a job.C. Establishing a business.D. Cutting out shirts.29. What was probably Jenny’s job at Churchill’s?A. A cleaner.B. A shirt-maker.C. A butcher.D. A salesgirl.30. How did Jenny break her promise according to the text?A. She received poor marks at the university.B. She revealed who gave her the money.C. She did not pay the money back on time.D. She did not offer to help anyone else.31. Which of the following best summarizes the main idea of the passage?A. Education is its own reward.B. Charity work leads to recognition.C. Success in life depends on good grades.D. Kindness is more important than success.DEle ctronic devices can seem like a “third party” in some relationships because some partners spend more time on them than with each other.When Amanda Gao, a 26-year-old white-collar worker in Beijing, went to a hotpot restaurant with her boyfriend on Friday night several weeks ago, she expected that they would have a good time together. To her disappointment, however, it did not turn out that way later. As soon as they were led to their seats and she began to order dishes, he buried himself in his mobile phone.“It seemed that his phone was making its way between us. A date that should have belonged to us turned into one where my boyfriend dated a third party and I felt left out.” Gao said, some people, like her, have found that electronics have been sabotaging (破坏) their romantic relationships.A study, published in the journal Psychology of Popular Media Culture in April 2017, questioned nearly 200 college aged adults who were in committed relationships to report on their and their partner’s smartphone depend ency. The results showed people who were more dependent on their phones were less sure about their relationships, and people who considered their partners excessively (过度地) dependent on their devices were less satisfied in their relationship.Lin Yuan, a relationship advisor in Beijing, noted that as more and more electronics come out and spice up people’s lives, they are at the same time becoming a third party in relationships, especially for young people.Lin said she knew of some people who suggest that electronics should be kept out of bedrooms, which she considered challenging and hard to be put into practice for most couples. She recommended that if people are feeling neglected (忽视) in their relationship, they need to respectfully let their partners kn ow their feeling. “Communication is always the best and the most efficient way,” she said.32. What is Gao’s feeling when entering the restaurant with her boyfriend?A. Expectant.B. Disappointed.C. Annoyed.D. Uneasy,33. Which of the following may Lin Yuan agree with?A. Gao’s boyfriend must be addicted to playing games.B. Most couples can practise keeping electronics out of bedrooms.C. Partners should communicate more to understand each other better.D. Couples should restrict the use of electronics to avoid possible problems.34. Why was the case of Amanda Gao mentioned?A. To explain who the “third party” is.B. To stress the importance of electronic devices.C. To make advisors know more about the matter.D. To introduce people’s dependence on electronics.35. Which of the following can be the best title for the text?A. A third party—electronic devicesB. Are devices killing romance?C. Do smartphones ruin partnership?D. Couples and smart phones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。