四川省成都市蓉城名校联盟2020-2021学年高一上学期期中英语试题
四川省成都市蓉城名校联盟2020-2021学年高一上学期期中英语试题学校:___________姓名：___________班级：___________考号：___________一、阅读选择Traditional Chinese culture is highlighted in the new textbooks on Chinese, history and politics for senior high school students in the coming semester.“The new Chinese textbooks have a selection (精选) of 67 classic works of ancient poetry and prose that account for 49.3 percent of all articles,” said Wen Rumei, editor-in-chief of the new Chinese textbooks, at a press conference held by the Ministry of Education (MOE) on Tuesday.Besides content on politics, the economy, society and the rule of law, the Chinese and politics textbooks also attach importance to traditional Chinese culture.“The history textbooks will help students grasp the laws of history, know about core socialist values and learn fine traditional Chinese culture,” said Zhang Haipeng, editor-in-chief of the history textbooks.“The model of traditional Chinese culture can be found in the history textbooks, including more than 100 great names in history, more than 80 classic works covering philosophy, technology, literature and law, over 50 major inventions as well as over 40 works of calligraphy art, painting, music, dance and sculpture,” Zhang said.The new textbooks will be used by students in the first year of senior high schools in six provincial-level regions from the autumn semester and will cover students of all grades nationwide by 2022.New textbooks on Chinese, history and morality and rule of law replaced old textbooks for the first graders in both primary schools and junior high schools nationwide in 2017 and will cover higher grades starting in the autumn semester, according to the press conference.“A survey showed that close to 90 percent of students liked the new textbo oks, and teachers reported an average satisfaction rate of 92 percent for the textbooks,” said Liu Hongjie, deputy head with the textbook agency under the MOE.1．The underlined phrase “account for”, here probably means ________.A．are responsible for B．are short forC．take up D．put up2．Which of the following statements is not true about the new textbooks?A．All the students don’t like the new textbooks.B．Not all the teachers are satisfied with the new textbooks.C．They will be first used in the first year of junior high school.D．They cover more than 40 works of calligraphy art, painting, music, dance and sculpture. 3．About traditional Chinese culture, we can guess from the passage that ________.A．the Ministry of Education is now paying more attention to itB．ancient poetry and prose are in fact out of dateC．only in politics textbooks can we find the contents about itD．grasping the laws of history is the only important thing in history classesThe day was September 5, 2015, when for the first time I left my country Bangladesh for China to get Master of Environmental Engineering at Chongqing University, thanks to the Chinese Government Scholarship (CSC). I always wanted to know and learn new language, culture and tradition.At the beginning, because of the language prevention, going to canteen or restaurant or visiting places or buying things were a challenge. Later, when I began learning Chinese, considered one of the most difficult languages in the world, life became much smoother. In addition, I took part in after-school activities organized by the university or by Chinese friends. In the past four years I have visited many places in China such as Yichang, Beijing, Kunming and Sichuan province. I enjoy Chongqing's delicious hotpot, tofu, traditional Chinese tea. China covers a large region and has many ethnicities (少数民族), so there's a variety of Chinese food. China is a country with a time-honored civilization and a land of ceremony. Whenever guests visit, it is necessary to serve tea to them. Before serving tea, you may ask them for their preferences as to what kind of tea they prefer and serve them the tea in the right teacups.China is one of the few countries in the world which depend on coal as the main energy source. At present, coal accounts for about 70 percent of the energy structure in China, which produces serious environmental pollution and ecological (生态的) damage. After years of efforts, China has made achievements. Related technologies have been used in large companies in China.I'm lucky to here working as a doctoral researcher at the department of environmentalscience and engineering. I should have the opportunity to develop the knowledge and skills that I need to build a bright future planet. By gathering scientific knowledge in this field, I have plans to create new opportunities for policymakers of my country Bangladesh. I value the chance to serve my beloved homeland!4．The best title of the passage should be ________.A．the Chinese government helps less developed countries a lotB．Chinese, the most difficult language in the worldC．from Bangladesh to Chongqing, learning from ChinaD．Sichuan as well as Chongqing is home to delicious food5．We can know from the second paragraph that ________.A．buying things is a challenge in ChinaB．the writer probably wrote this article in 2019C．serving tea is necessary as tea is a healthy drinkD．the writer joined in after-school activities to meet new friends6．About the author (作者), we can know that ________.A．she majored in Chinese as a new language in Chongqing UniversityB．she considered Chinese as one of the most difficult languages in the worldC．she would work as a doctor to help the patients after she returned to her countryD．she loved her country, Bangladesh7．In the writer’s eyes, ________.A．China, like many countries, uses coal as the main energy sourceB．China is a country with much beautiful scenery and tasty foodC．environmental pollution will be a serious problem in ChinaD．China acts as the top country in the field of environmental science and engineering1. Do not drink up the tea at onceTea is not plain water, it can nourish (养育，抚养) your mind and keep you calm. If you’re not thirsty, then do not drink up the tea at once. On the one hand, it may be hot and bums your lips. On the other hand, it is generally considered a rude behavior. You should take a sip and appreciate the flavor, from good smell to sweetness till the long after taste, you may find words are too plain to describe this fascinating feeling and process.2. Do not spit the tea out of your mouthIt is also considered that the biggest impoliteness of the guest is to spit the tea out of mouth, especially, in front of the tea server. This bad manner may also leave a very bad impression on the host.3. Do not smokeSmoking cigarettes during the tea drinking is disrespectful. If you are a heavy smoker, you should ask the host for opinions. You should not start smoking unless the host or the hostess allows you to.4. Do not be absent-mindedKeep calm and relaxed when drinking tea, instead of being absent-minded and dispirited. Tea is not only an amazing drink, it can also be your friend. When you feel uneasy, it helps you calm down; when you feel distracted, it makes you relax; while when you find your inner peace, it will bring you indescribable flavor. What a wonderful friend!8．What can you do in a Chinese Tea House?A．You can smoke when guests invite you to.B．You can spit the tea out of your mouth if it doesn’t suit you.C．You can enjoy listening to MP4 and try to have a short period of sleep.D．You find inner peace in your mind and relax yourself.9．The underlined word in the last paragraph probably means ________.A．favor B．good tasteC．bad smell D．ceremony10．In the writer’s opinion, tea can also be your friend because ________.A．when you feel unrest in mind, it helps you calm downB．when you find your inner peace, tea tastes betterC．when you can’t focus on something, tea makes you distractedD．when you have no friends, make friends by drinking tea with them11．Drinking up the tea immediately you are served is something improper because of the following but ________.A．tea is not plain water, it is a healthy drinkB．you may have your lips burnedC．you can’t drink tea directly in front of the tea serverD．it is hotAlmost everyone knows that Shanghai is the economic center of China. However, you might not notice that it is also improving in developing its travelling business. The following are more details.The area of the Yuyuan and Chenghuangmiao (City God Temple) is crowded at night with tourists trying to get a view and a taste of traditional Shanghai.Three of Shanghai’s top destinations, the Shanghai Science and Technology Museum, the Shanghai Oriental Pearl Tower and the Shanghai Wildlife Park, have jointly launched a new city pass program to attract tourists both from home and abroad.Under the Shanghai Pass ticket system, visitors can book online one-, two- and three-day passes covering the three destinations. With different prices for adults and students, they can scan QR codes to enter each of the destinations during the validity of their pass.The new program will mainly focus on popularizing science as the city receives an increasing number of student visitors.The three destinations also linked agreements with online travel agency Ctrip to cooperate further on marketing, activity-planning and communications.Besides the discounted prices, through which you can pay less, the city passes provide more convenience for tourists, especially tourists from other countries, says Xu Ting, the secretary-general of the Shanghai Tourism Association.Nearly 100 travel destinations have promised that they will take part in the Shanghai Pass program and work with Ctrip.A total of 105 scenic spots, art galleries, museums and memorials across the city have taken special measures to meet the growing need for nighttime leisure from both Shanghai residents and tourists, according to the municipal culture and tourism bureau.Parks and leisure spots including the Shanghai Ocean Aquarium and Shanghai Jinjiang Action Park have extended their opening hours, while destinations such as the Shanghai Oriental Pearl Tower, Shanghai Wildlife Park and Shanghai Happy Valley have launched special late shows and night-tour programs.Museums including the Shanghai Museum and the Shanghai Natural History Museum have also launched special nighttime exhibitions, lectures and exploration activities. 12．Which of the following is not a top tour destination in Shanghai?A．The Shanghai Science and Technology Museum.B．The Shanghai Wildlife Park.C．The Shanghai Ocean Aquarium.D．The Shanghai Oriental Pearl Tower.13．By writing this article, the writer tries to ________.A．introduce the Shanghai Pass ticket systemB．introduce three of Shanghai top destinationsC．introduce the online travel agency CtripD．introduce the tourism in Shanghai14．Which of the following is not true?A．The top destinations begin to cooperate so that they can attract more tourists. B．Everyone can get an online pass and the price is the same.C．Museums begin to provide nighttime service.D．105 scenic spot have done something to meet the growing need for nighttime amusement. 15．About the ticket fee which statement is correct?A．Foreigners don’t need to buy the pass and they can visit t he destinations for free. B．Residents of Shanghai can visit the scenic sports without paying a cent.C．Children can visit the museums at half price.D．If you use the city pass, you can save some money.二、七选五Do you have a hobby? Something you look forward to spending your time with? Something you love to do? It could be collecting something, or making model airplanes. It could be sketching or making useful things out of waste material. 16．or singing and dancing.Apart from an enjoyable time, 17．. Sashay was a shy boy but through his interest in model airplanes he learned the value of sticking to a task until it was finished. His model airplane club brought him to get into touch with similar souls. He learned to make friends for the first time.Having a hobby helps you relax and get away from the routines of school. It gives you a break. You really need this well deserved one, too! It gives you focus, self dependence, confidence and builds your personality. This is an opportunity to lose yourself in an enjoyable activity, away from the pressure of school. 18．.Your hobby defines you. 19．. And it also shows you what you are good at, and how far you can go, when you apply yourself.So go ahead. 20．. For a hobby is: Happiness: something which you look forward to doing.Opportunity: to nurture and develop your special and unique skills and celebrate them. Believe in yourself: to make you understand your strong advantages and improve your confidence. Best in you: brings out your best — for in each one of us there is a best that is only ours. YOU gives you a unique character, and makes you YOU!A．It showcases your special skillsB．It could be a musical instrument that you love playingC．Develop a hobbyD．It proves your abilityE.At the end of it, you feel relaxed and yet, mentally chargedF.there are many things that a hobby can give youG.Hobbies show your character三、完形填空Mark Twain was a famous American writer. He wrote many stories and many of them were 21 stories. These stories are still read by many people all over the world. 22 writing, he also liked hunting and fishing very much, so one year he went to 23for a holiday and spent three very pleasant weeks in the 24 there.When he had to go back home, he drove to the station with his 25 . There he asked a porter to put it into the train. Then he got into the smoking car and 26 in one of the comfortable seats there. The car was 27 when he got in, but a few minutes later, 28 man got in and sat down on the seat opposite his. Mark Twain looked at the man and thought that this man looked quite 29 . However, it would be 30 to say nothing in that situation, 31 he said good morning to the man, and they began to talk.First they talked about the 32 and then they talked about Maine. The stranger said, “We have some beautiful woods in Maine. It would be a 33 to come to Maine without spending some time there. I suppose you have been in our woods, haven’t you?” “Yes, I have.” answered Mark Twain. “I’ve just 34 three weeks there and I had a very good time, too. And let me tell you something. 35 fishing isn’t allowed in Maine at this season, I’ve got two hundred pounds of beautiful fish with my baggage in this train. I like to eat fish, so I packed it in ice to 36 it home with me. May I ask who you are, sir?”The stranger looked at Mark Twain for several 37 and then answered, “I’m a38 . My job is to catch people who hunt and fish during the wrong seasons. And who are you?”Mark Twain was surprised and 39 when he heard this. He thought quickly and then answered, “Well, I’ll tell you, sir. I’m the man who tells the biggest 40 in America.”21．A．frightening B．funny C．terrible D．moving 22．A．Except B．Except for C．Besides D．But for 23．A．America B．Miami C．New Jersy D．Maine 24．A．forest B．woods C．village D．country 25．A．backpack B．suitcase C．baggage D．diploma 26．A．took down B．took off C．sat down D．sat up 27．A．crowded B．full C．noisy D．empty 28．A．the other B．another C．other D．others 29．A．satisfied B．unpleasant C．surprised D．embarrassed 30．A．enthusiastic B．friendly C．relaxed D．impolite 31．A．so B．while C．but D．since 32．A．climate B．breakfast C．weather D．journey 33．A．pleasure B．pity C．fun D．shame 34．A．lived B．spent C．taken D．journeyed 35．A．Because B．Unless C．Until D．Although 36．A．take B．carry C．bring D．fetch 37．A．minutes B．hours C．days D．seconds 38．A．shop assistant B．headmaster C．interviewer D．police officer 39．A．disappointed B．exhausted C．frightened D．shocked 40．A．stories B．jokes C．intelligence D．lies四、用单词的适当形式完成短文阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。
蓉城名校联盟2020-2021学年高一上学期期中联考 数学试题(含答案)
蓉城名校联盟2020-2021学年高一上学期期中联考数学试题一、选择题：本题共12小题，每小题5分，共60分。
1.已知集合A ＝{－2，－1，0，1，2}，B ＝{x ∈Z|－1≤x ≤1}，则A ∩B ＝A.{－1，0，1}B.{0，1}C.{－1，1}D.{0，1，2}2.下列函数与f(x)＝x 是同一函数的是 A.f(x)＝2x xB.f(x)2xC.f(x)＝log 22xD.f(x)＝2log 2x 3.下列函数在(0，＋∞)上为增函数的是A.f(x)＝x 2B.f(x)＝2xC.f(x)＝lg(x －2)D.f(x)＝－2x ＋4 4.若函数f(x)＝log a (x －3)＋1(a>0，且a ≠1)的图象恒过定点P ，则P 的坐标是A.(3，0)B.(4，0)C.(3，1)D.(4，1)5.已知函数f(x)＝3log x 2x 0 1x 03x ->⎧⎪⎨≤⎪⎩，()，，则f(f(－2))的值为 A.－4 B.－2 C.0 D.26.已知函数y ＝f(x)的定义域为[1，＋∞)，则函数g(x)＝f(2x －3)4x - A.[－1，4] B.[－1，4) C.[2，4] D.[2，4)7.已知关于x 的方程x 2－2ax ＋8＝0的两个实根x 1，x 2满足x 1>x 2>2，则实数a 的取值范围为 23) B.(2，＋∞) 2，＋∞) D.(－2，3)8.已知函数f(x)＝()x a 2x 4a 6x 1a 2x 1⎧-+-≤⎪⎨+>⎪⎩，，满足对任意的x 1，x 2(x 1≠x 2)，都有()()1212f x f x (x x )-->0成立，则实数a 的取值范围是 A.(1，32] B.(2，52] C.[32，2) D.(1，52] 9.已知函数f(x)＝()212log x 5x 4-+-在区间[m ，m ＋1]上是减函数，则m 的取值范围为 A.(－∞，32] B.[52，＋∞) C.(1，32] D.[52，3) 10.设f(x)是定义域为R 的偶函数，且在(0，＋∞)单调递减，则A.433421(3)(3)(log )3f f f -->> B.433421(log )(3)(3)3f f f -->> C.433421(log )(3)(3)3f f f -->> D.433421(3)(3)(log )3f f f -->> 11.已知函数f(x)＝()2x 1x 1x 4x 1⎧+≤⎪⎨->⎪⎩，，，则关于x 的方程f 2(x)－af(x)＝0(0<a<3)的所有实根的和为A.3B.6C.9D.1212.已知不等式x 2x 1--≤12的解集为M ，关于x 的不等式ax 2－x ＋1>0的解集为N ，且M ∪N ⊆N ，则实数a 的取值范围为A.(0，＋∞)B.(14，＋∞)C.(29，＋∞)D.(12，＋∞) 二、填空题：本题共4小题，每小题5分，共20分。
四川成都市2020┄2021学年高一上学期六校联考期中试题 英语
成都市“六校联考”高2021级第一学期期中试题英语（全卷满分：150分完成时间：120分钟）第一部分听力（共两节，满分30分）第一节（共5小题; 每小题1.5分，满分7.5分）听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. Whose birthday is it today？A. Mary’s.B. Mike’s.C. David’s.2. What’s the probable relationship between the two speakers？A. Husband and wife.B. Customer and assistant.C. Classmates.3. What is the woman going to do？A. Pick up Jack.B. Take her son to school.C. Attend a meeting.4. What does the man want to do？A. Make friends with the woman.B. Buy a book.C. Send a book to his friend.5. Where does this conversation most likely take place？A. In a supermarket.B. In a restaurant.C. At home.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。
四川省成都市蓉城名校联盟2023-2024学年高一上学期期中联考英语试题
四川省成都市蓉城名校联盟2023-2024学年高一上学期期中联考英语试题学校:___________姓名：___________班级：___________考号：___________一、短对话1．What does Jim do?A．A teacher.B．An officer.C．A student.2．When did Suzy leave home?A．At 4:30.B．At 5:00.C．At 5:15.3．What is the man’s suggestion?A．Going to the concert.B．Going to see a show.C．Just walking around. 4．What are the speakers mainly talking about?A．The weather.B．Football games.C．A weekend plan. 5．What do they think of their chemistry course?A．It’s well organized.B．It is boring.C．It is unsatisfactory.二、长对话听下面一段较长对话，回答以下小题。
6．What is the possible relationship between the two speakers?A．Friends.B．Teacher and student.C．Customer and salesman. 7．Why is the woman interested in the book with a note?A．It’s about poetry.B．It’s written by Shakespeare.C．It may be very valuable.听下面一段较长对话，回答以下小题。
8．What are the man and woman looking for?A．A comfortable hotel.B．A modern hotel.C．An inexpensive hotel. 9．Whom do the man and woman ask for help?A．A policewoman.B．A waitress.C．A passer-by. 10．Where could the man and woman find a hotel they needed?A．In the next street.B．Next to a bank.C．Two-minute drive to the west.11．Where does the conversation most likely take place?A．In a street.B．In a restaurant.C．In a hotel.听下面一段较长对话，回答以下小题。
_2020～2021学年度上期高中2020级期中联考英语试题_
蓉城高中教育联盟2020～2021学年度上期高中2020级期中联考英语参考答案及评分标准第一部分听力（共两节，满分30分）1～5：CACAB6～10：AABCB11～15：BCBAC16～20：CABCB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）21～25：CADBD26～30：CDDBC31～35：ACBCA第二节（共5小题；每小题2分，满分10分）36～40：CFGBE第三部分语言知识运用（共两节，满分45分）第一节（共20小题；每小题1.5分，满分30分）41～45：CBADC46～50：DBCDC51～55：BBAAD56～60：CADAB第二节（共10小题；每小题1.5分，满分15分）61.a62.have taken63.including64.where65.gave66.excited67.unhappy68.As69.ideas70.to help第四部分写作（共两节，满分35分）第一节短文改错（共10小题；每小题1分，满分10分）The first time I go away from home without my parents was at the age of ten.I went on awentschool trips with my class to the zoo in Chengdu.We left home very early to see anything clear trip too clearly in the morning fog.That was because they had a long journey to cover.Having travelled toweChengdu by bus,and we spent the whole day at the zoo.I can remember seeing an elephantfor the first time,∧was very impressive!At midday,we ate our picnic lunch in a park near the whichzoo.After lu nch,wh ile visited th e reptile ho use,we saw th e snakes and was wellvisiting were impressed with the huge sea turtles.At five o’clock,we got on the bus and returned home.WhatHow enjoyable a day!第二节书面表达（满分25分）Possible Version:Last week,Mr Lei gave us a wonderful physics class in the science lab,which impressed me so deeply that I can’t forget it forever.The class is lively,interesting and well organized.At first,Mr Lei did an experiment to show us how electricity is produced by moving a metal wire between two magnets.Then he clearly explained why,arousing our great interest in the topic.After that,we had heated discussions about the problem in groups.Finally,under his instruction,we even made a simple electricity-generator.What an impressive class!Honestly speaking,physics was never my favourite.However,after experiencing that class,I really fall in love with it.With Mr Lei teaching me,I’m sure I’ll make rapid progress in physics.文章要点及赋分：1.上课的时间、地点和学科教师（4）2.对这堂课的印象或评价（4）3.老师的教学特点或教学过程介绍（10）4.收获与感受（4）5.卷面与书写（3）解析：第二部分阅读理解A这是一篇应用文。
四川省成都市蓉城名校联盟2023-2024学年高一上学期期末联考英语
四川省成都市蓉城名校联盟2023-2024学年高一上学期期末联考英语一、听力选择题1．What does the man want to do now?A．Have dinner.B．Watch the news.C．Set the table.2．How much was the kitchen table two years ago?A．$80.B．$60.C．$20.3．What does the man think of the doctor’s advice?A．Disappointing.B．Unusual.C．Satisfying.4．What are the speakers probably talking about?A．A dictionary.B．A page.C．A book.5．When will the flowers be on show?A．On Sunday.B．On Saturday.C．On Friday.听下面一段较长对话，回答以下小题。
6．What is the probable relationship between the speakers?A．Neighbors.B．Waiter and customer.C．Husband and wife.7．What does Cindy need?A．A cake.B．Two eggs.C．Some coffee.听下面一段较长对话，回答以下小题。
8．Where does the conversation probably take place?A．In an office.B．At school.C．At home.9．Why does the man leave?A．To work in another company.B．To study abroad.C．To live close to his family.听下面一段较长对话，回答以下小题。
四川省成都市蓉城名校联盟2020-2021学年高一上学期期中联考语文Word版含答案
蓉城名校联盟2021～2021学年度上期高中2021级期中联考语文考试时间共150分钟，总分值150分考前须知：1.答题前，考生务必在答题卡上将自己的学校、姓名、班级、准考证号用0.5毫米黑色签字笔填写清楚，考生考试条形码由监考老师粘贴在答题卡，上的“条形码粘贴处〞。
2.选择题使用2B铅笔填涂在答题卡上对应题目标号的位置上，如需改动，用橡皮擦擦干净后再填涂其它答案；非选择题用0.5毫米黑色签字笔在答题卡的对应区域内作答，超出答题区域答题的答案无效；在草稿纸上、试卷上答题无效。
3.考试结束后由监考老师将答题卡收回。
一、现代文阅读(36分)(一)论述类文本阅读(此题共3小题，9分)阅读下面的文字，完成1～3题。
“中国梦〞：中国新诗的历史源流一百多年来，中国诗人除了梦想着“合众旧诗国为一大新诗国〞，还身体力行地创作以中国现代化为主旨的现代诗，以及探究如何艺术表达中国现代化的意旨。
正是在这个意义上，我们可以说，中国新诗创作和理论探讨也是一个追寻“中国梦〞的艰辛历程。
由于不同时代诗人和同一时代不同诗人经验之不同，他们的梦想尽管各异其趣但又互为辉映，为我们创造出一个个诗意盎然的梦想世界。
“在诗人作出宏伟的发现时，一个诗的形象能够成为一个世界的萌芽，〞一个呈现于诗人的梦想前的想象天地的萌芽。
面对诗人所创造的这一世界，惊奇赞赏的意识油然而生。
〞那么，中国新诗诗人“宏大的发现〞以及在他们梦想世界里“诗的形象〞之呈现又是一幅幅什么样的图景呢？对中国新诗源头的勘探，我们要从晚清那里开始。
提到晚清诗歌革新，通常只讲“诗界革命〞。
实际上，在晚清诗界革命之前，还有一个我称之为的“诗文革新〞。
这场“诗文革新〞的主将是“剑气箫心〞的龚自珍和“忧患天下来世〞的魏源。
龚自珍看重诗歌的现实性、真实性和独创性，但他又坚守“夫诗必有原焉〞的诗观。
所以，当年谭嗣同就毫不客气地批评“龚魏〞“终身役于古人而已〞。
随后，由于国内涌动的改进运动、日本启蒙诗歌运动和中国古诗词内在规律变化等影响，大声疾呼“我手写我口，古岂能拘牵〞的黄遵宪，提倡并创作“新体诗〞“新派诗〞和“新诗〞。
2020-2021学年四川省成都市蓉城名校联盟高二(上)期中英语试卷(附答案详解)
2020-2021学年四川省成都市蓉城名校联盟高二（上）期中英语试卷一、阅读理解（本大题共15小题，共30.0分）AAre you a bit bored with your nine-to-five routine？Have a look at our exciting range of holidays and decide what type of adventure you'd like.Activity holidaysOur activity holidays are for everyone,people who love danger or who just like sports.We have a huge variety of water snow or desert holidays.We'll take you diving in the Red Sea or white water rafting in Canada.If you prefer snow,you can try skiing or snowboarding in the Alps.For those who like warmer weather,we also have sandboarding or camel safaris（游猎）.Polar expeditionsTake a journey to Antarctica or the northern Arctic；explore a land of white natural beauty and wonderful wildlife.Our experts will explain everything about the two poles as you watch the penguins in Antarctica or whales and polar bears in the Arctic.There's no greater adventure than travelling to the ends of the earth.Cultural journeysOur cultural journeys will help you discover ancient civilizations：India,Thailand,Egypt and many more.Visit temples,palaces and ancient ruins-just remember to bring your camera!Get to know local ways of life by exploring markets,trying foreign foods and meeting local people. Trekking（徒步）toursWe have trekking holidays to famous places such as Machu Picchu or the Everest Base Camp Trek,as well as some nearer places to our home in the Highlands of Scotland.You don't need to be very sporty,just fairly fit.You'll have a great time enjoying nature with a group of new friends.Some of the holidays include camping,but we'll transport the tents for you!1.Which activity will you choose if you love risks？______A. Polar expeditions.B. Cultural journeys.C. Activity holidays.D. Trekking tours.2.What is the most important thing during cultural journeys？______A. To take a camera with you.B. To speak the local language.C. To transport the tents to friends.D. To explore the land of wildlife.3.Where may the author come from？______A. Antarctica.B. Scotland.C. Thailand.D. Canada.BBarcelona's opera house has celebrated its reopening to the public since the coronavirus pandemic（新冠疫情）put the world into a huge horror,but their opening night had an unusual audience.For its first concert,the theater refused the usual crowd of people and instead packed the house with plants.Yes,that's correct.All 2，292 seats at the GranTeatre Liceu were occupied by green plants.The idea was conceived by an artist Eugenio Ampudia and was broadcast live on the theater's website.These lucky ficus trees,palms,and Swiss cheese plants-which were brought in by local nurseries（苗圃）-got the pleasure of hearing Puccini's Crisantemi performed by the UceLi Quartet string musical group.Ampudia hopes that his idea and the work will inspire people to think more deeply about their relationship with nature and the idea of sustainability（可持续性）. "We are at the end of an era and that means that we have to change certain patterns," he shares. "We don't live in the same world as 90 days ago,and this means we have to reflect on everything that we do."As plants can respond to different vibrations（振动）caused by music,they certainly weren't a passive audience-even if they weren't able to give applause.Now that the concert is over,each plant will be given to a different frontline healthcare worker who helped guide the country through its battle with the coronavirus.The moving concert is a continuation of the Liceu's mission to create a dialogue between music and the visual arts.Pictures and a video of the performance taken by Ampudia will now become part of La Caixacon temporary art collection.4.What was the special part of the concert？______A. It had only 2，292 seats.B. It made the world fall in horror.C. It welcomed audience with plants to come.D. It gave plants opportunities to enjoy music.5.What does the underlined word "conceived" mean in the second paragraph？______A. hatedB. enjoyedC. put forwardD. turned down6.Which statement may Eugenio Ampudia agree with？______A. We didn't do very well in dealing with nature.B. The healthcare workers were more important.C. The plants should have the equal rights.D. We did everything in a wrong way.7.In which column（专栏）of a magazine can this text be read？______A. Daily Hero.B. Teens' Life.C. New Technology.D. Art Around the World.CTwo pig farmers in Suffolk,East England have succeeded in feeding one million bees after participating in a project that saw them turn over half of their land to wildflowers.Four years ago,brothers Mark and Paul Hayward decided to fill 81 acres of their farm land with wildflowers.This week,a study was carried out monitoring insect activity on theflower-covered land,which found they were feeding one million bees at any time."This was our target when we started,to grow enough flowers to feed a million bees on a single day." Mark said. "We are acutely aware that bees are under threat from modern farming methods and that East England is one of the worst places where bees are seriously suffering from lack of foraging diversity（觅食多样性），" he continued."Every third bite of food you eat can come from bees and we wanted to create an operation on our farm that did not push nature out but rather hugged it-as a central part of our ecology system and our food cycle," he said.The farm uses all kinds of seeds which can produce many different wild plants and of course,the bees can get food from different wildflowers."We are taking a very small role in helping society restore a balance and this starts with plant diversity to encourage insects,bees,small mammals（哺乳动物），and birds," said Paul. "At the end of the day,we see ourselves as caretakers of this land.Between us we have six children and we owe it to them to farm sustainability（持续性）and set an example for the generations to come," added Paul.According to the Bee Conservation Trust,many types of bees have seen their populations decline by 70%，and two species have become extinct in the last century.Gill Perkins,CEO of the Bee Conservation Trust said,"Thanks to Mark and Paul,at least here,1 million bees can keep living,which is of great significance for ourselves now and future."8.What can we know about the brothers from the first two paragraphs？______A. They have about 160 acres of land.B. They grow wild flowers for pigs.C. They are not good at growing wild flowers.D. They have to support 1，000，000 bees in their land.9.Why are bees under threat in East England？______A. There is not enough food for bees.B. Bees are not used to the modern society.C. There are too many animals eating bees.D. Bees can not find different wild flowers.10.What is the Gill Perkins' attitude to the action？______A. Opposed.B. Doubtful.C. Supportive.D. Disappointed.11.What is the best title for the text？______A. The Bees are in Danger NowB. Two Brothers Feed a Million BeesC. One Million Bees are Surviving in East EnglandD. Two Brothers Love Wild Flowers in East EnglandDAs we know birds do not have teeth.However,according to a new study,this was not always the case.About 116 million years ago,the ancient birds had teeth and used them for eating,just like what they do today.The new study was conducted by a team of researchers that analyzed the remains of the tooth gene in modern birds and tried to find out why the teeth suddenly disappeared in birds during the process of evolution.Because the fossils of ancient birds,buried deeply in the earth,are either broken or not preserve （保护）well,their use in determining this evolutionary（进化）change has not been helpful.Researchers have instead focused on analyzing the DNA of modern birds.The aim of the study is to search for clues in the genes of birds that explain the loss of teeth during evolution.In the absence of teeth,birds heavily rely on their beaks（鸟嘴）to process food.They also have an excellent ability to digest the food properly.However,at some point in history,birds used torely on their teeth for chewing（咀嚼）food just like us.The earliest known clue in this regard was found in Germany in 1862.The fossil of an ancient bird found there,suggested that birds had teeth in the past.Today,scientists have confirmed（确认）that birds evolved form dinosaurs that were known for their sharp and pointed teeth. Until now,there has been no definite explanation of the significant evolutionary change in birds.In the ongoing study,researchers analyzed the genes of modem birds that are responsible for tooth production.They searched for any kind of genetic mutation（基因突变）that may have made the gene to become inactive.The gene mutation first occurred about 116 million years ago.12.What does the underlined word "fossils" mean in Paragraph 2？______A. A kind of bodies which are still full of life now.B. A kind of stones which were from ancient animals.C. A kind of animals which were relatives to modern birds.D. A kind of ancient dinosaurs which hid deeply in the earth.13.How did the researchers do the study？______A. By studying the DNA of modern birds.B. By studying the functions of birds' mouth.C. By comparing the dinosaurs and the birds together.D. By visiting Germany to get the newest information.14.What is the researchers' attitude to the conclusion？______A. Uninterested.B. Disappointed.C. Convinced.D. Unsure.15.What is the best title for the text？______A. The Ancient BirdsB. The Ancient Birds Have TeethC. The Ancient Birds Are like HumanD. The Birds Abandoned the Teeth Now二、阅读七选五（本大题共5小题，共10.0分）No matter how well you do in an interview,arriving more than a few minutes late for a job interview is likely to have a negative effect on an employer's impression of you. (1) .In situations where you just can't avoid being late,use these tips as effectively as possible.Call in Advance(2) ，and if you're doubtful whether you'll arrive on time,always call in advance.Avoid makingrm whoever answers the phone that you're running late for a job interview. (3)Sincerely acknowledge（承认）your mistake and express regret over having made your interviewer wait.Then respectfully move on and don't focus on your delay.Nobody likes having to wait for somebody who's tardy（迟到的），especially employers who have busy schedules. Have an Excellent ReasonCrazy traffic,defective（有缺陷的）alarm clocks,or work delays sound like weak excuses to an employer who set time aside specifically（特意）to talk to you about a job. (4) .When arriving late to a job interview is unavoidable,honesty is better than excuses.Put Your Game Face Back OnAs tired as you might feel about being late,take a moment to breathe deeply,gather your thoughts,and regain（恢复）your calm before meeting the interviewer. (5) .A.Sincerely ApologizeB.Prepare for the Interview in Advance.C.If you're running late for a job interview.D.Don't let your tired face ruin the entire interview.E.When you have to reschedule a time for the interview.F.Your being late may influence your chances of getting the job.G.Anything but a family emergency（紧急情况）or a severe accident is unlikely to convince （说服）your interviewer.16. A. A B. B C. C D. D E.E F.F G. G17. A. A B. B C. C D. D E.E F.F G. G18. A. A B. B C. C D. D E.E F.F G. G19. A. A B. B C. C D. D E.E F.F G. G20. A. A B. B C. C D. D E.E F.F G. G三、完形填空（本大题共20小题，共30.0分）Something extraordinary happened at LA airport today.I was at the gate,(21)to get on my plane to Portland.Suddenly,a(22)boy who looked to be eighteen months was having a total breakdown（崩溃），(23)between the seats,kicking（踢）and screaming（尖叫），then lying on the ground,refusing to board the(24).His young mom,who was clearly pregnant（怀孕的）and traveling(25)with her son,became completely(26).She couldn't(27)her son because he was lying down on the ground,kicking and(28).The mother finally sat down on the floor and put her(29)in her hands,with her son next to her.Then,this gorgeous（极好的）thing happened.Six or seven(30)in the airport approached and(31)the poor mother and the little boy.We knelt down and formed a circle.I sang The Itsy Bitsy Spider to the little boy.One woman had a little(32)in her bag that she let the boy play with,another woman gave the mom a newly-bought(33)of water.Someone else(34)the mom to get the kid's cup out of her bag and give it to him.It was so(35)，because there was no(36)and no one knew anyone else,but we were able to calm them both down,and she got her child on the plane.After they(37)the door we all went back to our(38)seats and didn't talk about it.We were strangers,gathering to(39)problems.It occurred to me that a circle of women,with a mission（使命），can(40)the world.21. A. waiting B. begging C. leaving D. standing22. A. clever B. little C. dirty D. hungry23. A. dashing B. yelling C. running D. listening24. A. boat B. taxi C. train D. plane25. A. angrily B. freshly C. alone D. lonely26. A. lost B. careful C. grateful D. old27. A. set up B. take in C. put down D. pick up28. A. speaking B. screaming C. jumping D. laughing29. A. shoulder B. head C. eyes D. ears30. A. women B. people C. professors D. members31. A. talked B. neglected C. questioned D. surrounded32. A. dog B. toy C. gun D. coat33. A. cup B. bowl C. bag D. bottle34. A. refused B. forced C. helped D. allowed35. A. boring B. dangerous C. gorgeous D. interesting36. A. discussion B. need C. time D. room37. A. looked into B. turned into C. went through D. heard of38. A. priceless B. wood C. common D. separate39. A. solve B. produce C. analyze D. forget40. A. destroy B. save C. cheat D. win四、语法填空（本大题共1小题，共15.0分）41. A cat（1）______（name）Narnia has a unique color that has made the Internet take noticeof his handsome good looks.The cat is "two faced"，with one side of his body gray and the other side black,separated evenly（平均地）on either side of his head.Thanks（2）______his popular Instagram（图片分享社交应用）account（帐户）run by his（3）______（own）Thomas James,the world has been able（4）______（follow）along with Narnia's life.Despite（5）______（be）the center of attention for years,Narnia's attention turned to two little cats he fathered in the spring of 2019.Though（6）______two little cats don't share their father's two-coloured face,each contains one of the colors found on Narnia's face."My children have each taken a part of me"，Thomas（7）______（write）as Narina on Instagram.One cat is all gray while the other is all black.Thomas captured（拍摄）a picture of the two sitting together（8）______（happy）in the order of colors of Narnia's face-on the left we see gray and on the right we see black.（9）______Thomas runs is a small shop of British long-hair and short-hair cats,so Narnia's children have gone to live with other（10）______（family）.五、短文改错（本大题共1小题，共10.0分）42.短文共有10处错误，每句最多有两处错误，每处错误及其修改均仅限一词；错误涉及一个单词的增加、删除或修改。
蓉城名校联盟2020～2021学年度上期高一期中联考数学参考答案及评分标准
3
lg 2 lg 3
lg 2 lg 3
233 2
（2）原式
=
27 8
2 3
1 125
2 3
22 5
1
50 2
1
8 27
2
3
2
125 3
2
2 5
1
50 2
1
2 3
2
52
22 5
5
2 1 4 2 1 13
9
9
……5 分 ……10 分
18．（12 分）
（1） A {x x2 5x 4 0} {x 1 x 4} ，B {x 1 2 x 8} {x 1 x 3} ……2 分 2
2
①若
a 2
2 时，即 a
4 时，
f
(x)
在[2, 4]
上单调递增，
fmin
(x)=f
(2)
7
3a
……7 分
②若 a 2
4 ，即 a 8 时，
f
(x) 在[2, 4] 上单调递减，
fmin (x)
f
(4)
19 3a
1……9 分Fra bibliotek③若 2 a 4 ，即 8 a 4 时， f (x) 在 [2, a] 上单调递减，在[ a , 4] 上单调递增
13． 1
14． (, 2] [3, ) 15． (3, 0) (3, )
1 16．[ , 2]
2
三、解答题：本题共 6 小题，共 70 分。
17．（10 分）
（1）原式 lg 52 2 lg 23 lg 27 lg 2 3 2(lg 5 lg 2) lg 33 lg 2 3
2020-2021学年四川成都高一上英语期中试卷 (1)
2020-2021学年四川成都高一上英语期中试卷一、阅读理解1.● Marketing AssistantWe want a person with a university degree in a marketing-related major or at least two years of work experience in a marketing role.Starting salary: HK $6,000 per month.Benefits: As a HaiSports employee, you will be entitled（有资格）to a 40% discount on all HaiSports products, plus other benefits.Please apply in writing to Grace Zhou.● Ground StaffJapan Airlines invites you to join us. We are offering ground staff positions in our Call Centre in Tsim Sha Tsui（尖沙咀）.Requirements:* A permanent Hong Kong resident（居民）.* Fluency in English, Japanese and Putonghua.* Availability to work shifts（轮班）.This position is equally suitable for a college student. The starting salary will be around HK $12,00 per month. Competitive benefits include guaranteed yearly holidays and discount fare tickets.An online application from is now posted at .Please complete the online application form and send it to us on or before 31 August, 2017.● App ProgrammerWe are urgently looking for an app developer to join our company with details as follows:* Minimum 2-year work experience in developing apps.* Bachelors' degree in computer science or information systems-related discipline.* Good problem-solving, interpersonal and analytical skills.The salary depends on qualifications and experience and the benefits will depend on monthly achievements. Please email your detailed resume to Katie@ for further information if you are interested.（1）What kind of person does HaiSports need?A.One who speaks fluent Japanese.B.One who has technological knowledge.C.One who has at least two years of work experience.D.One who has doctor's degree in marketing science.（2）If a person wants to apply for the position of Ground Staff, he/she must ________.A.believing in Hong Kong at presentB.have marketing-related experienceC.have a good knowledge of computer scienceD.speak English, Japanese and Putonghua fluently（3）What do the three jobs have in common?A.They offer certain benefits.B.They have a starting salary.C.They need work experience.D.They need programming abilities.2.Having a year-round comfortable climate and being close to several European countries, many thought that Paris was the perfect location for Europe's first Disneyland. But culturally speaking, Paris was probably the least logical choice. This is because France is known for its reputation of smirking（自鸣得意地笑）at anything about Americans—an attitude called "anti-Americanism".However, Disney opened a park in Paris 1992 anyway. How has it managed to survive for so long in a country that some thought may not welcome it?According to National Public Radio, "America creates a danger to everything the French value highly." For example, France is famous for its fancy cuisine（菜肴）and people there usually spend a long time over meals. But American fast food—hot dogs and hamburgers, to name two—introduced a completely different dining style. And in the film industry, while French culture values low-plot and high-art films, Hollywood's fast-food-style film productions may seem of low taste in the eyes of the French."In the land of Louis XIV's real Castle of Versailles...why do we need the fake one of Sleeping Beauty?" This is the reaction of many French people toward the US theme park, according to The Baltimore Sun Newspaper.There used to have doubt over whether the Disney magic would work in France. But this doubt has been proved unnecessary now that the park has been standing for 25 years. And according to The Telegraph, Disneyland Paris was visited by nearly 15 million people last year, half of whom were French."France is changing. Slowly, its way of life is beginning to resemble（与……相似）that of the country it loves to hate," commented The Economist.Today, even though French people are still seen as "cold" and proud of their own culture more than anything, they are already part of the trend of globalization and there is nogetting out of it."At the core, America gives us the same effect as ice cream." French journalist Jacqueline Remy once wrote in L'Express magazine. "It makes us sick, but we keep asking for it."（1）What is the article mainly about?A.How French people hold an "anti-American" attitude.B.A look at France's changing attitude toward US culture.C.The characteristics of French people and their unique culture.D.How Paris was the perfect location for Europe's first Disneyland.（2）What are the examples in Paragraph 3 used to show?A.French people have a better taste in films.B.France is famous for its cuisine and movies.C.American culture is important to the French.D.American culture may threaten French culture.（3）Which of the following statements is true about Disneyland Paris according to the article?A.Most French people refuse to visit it.B.It mixes American and French cultures.C.It is a popular tourist attraction for the French.D.It was designed to look like the Castle of Versailles.（4）What can be concluded from the last three paragraphs?A.French people are no longer proud of their own culture.B.French people are completely open to American culture.C.Most French people consider globalization a bad influence.D.American culture is having an influence on French people's lives.3.When early automobiles first arrived on the scene in the late 19th century, few people could have imagined that they would one day take over the world. In fact, some towns found the noise and exhaust（排气）from these novel "horseless carriages" so off-putting（令人厌恶）that early cars were actually forbidden in some places.In time, of course, restrictions were lifted and the car soon became ubiquitous across the country. But there is still one place in the United States that has yet to change its mind. Thatis Mackinac Island, where cars have been banned since 1898.Located just offshore of mainland Michigan. in Lake Huron, Mackinac Island and its namesake（同名）city have long been a favorite spot for a relaxing getaway. So, when automobiles first began to arrive, loud noise and terrible smoke made the locals angry. It quickly became apparent to the locals that this new invention was not for them.Naturally, in 1898, the Mackinac village council（议会）decided to forbid the automobile before the monsters had a chance to take over. So what is life like in place where one of the most influential inventions in history has been banned? Well, it's quite nice, actually.Although the small island is home to only around 500 people, in the summer, that number swells to 15,000 during tourism season; aside from a couple of emergency vehicles, there's no car to be seen. Transportation on Mackinac is limited to walking, horse-drawn carriages, and bicycling, a pleasant escape from the car-centric society that exists beyond its borders."The air is cleaner and injuries are fewer," writes Jeff Potter, who published an article about Mackinac. "Island citizens are healthier due to the exercise. There' s a cherished egalitarianism（平等）: everyone gets around the same way. They also save a huge amount of money that would normally go to commuting（往来）by cars."（1）What does the underlined word "ubiquitous" probably mean?A.Present.B.Absent.C.Dangerous.D.Difficult.（2）Why were cars banned on Mackinac Island?A.There wasn't enough space on the island.B.The locals wanted to improve the tourism.C.The locals hated noise and smoke from cars.D.Cars might cost the locals too much money.（3）What can we infer from the text?A.Too many people are living on the island.B.The tourism is developing very well on Mackinac.C.Transportation on Mackinac is limited to walking.D.Cars are allowed to travel on the edge of the island.（4）What means of transportation is forbidden for travelers to Mackinac Island?A.On emergency cars.B.In horse-drawn carriages.C.On foot.D.By bike.4.If you want to get something done, you might want to put your mobile phone back in your pocket. Researchers have found that the mere presence of a phone is distracting（干扰的）—even if it is not your own. And the devices are likely to distract you, even if they are not ringing or "pinging" with text messages. People asked to carryout electronic tests of their attention spans（持续时间）were found to perform worse when a mobile phone was present than other people performing in the presence of a paper notepad.Scientists from Hokkaido University in Japan said that their findings show that it is harder to concentrate when one of the electronic devices is present. The effect was most marked on people who are not regular users of phones. In tests on 40 undergraduates, Associate Professor Junichiro Kawahara and a colleague divided the subjects into two groups—one asked to carry out tests in the presence of an Apple iPhone next to a computer monitor, and the others in the presence of a notebook.The test involved asking the participant to search for a particular character among a mess of other characters on the screen. Researchers measured the time it took to find the target. The results of the experiment found that those with the mobile phone took longer to find the character "indicating that participants were automatically distracted by the presence of the phone". The researchers suggest that people are "drawn to the presence of a mobile phone" although there are individual differences in how one attempts to ignore it. In conclusion. Professor Kawahara said, "The mere presence of a mobile phone was a distraction among infrequent internet users."Another finding is that listening to one half of a mobile phone conversation also distracts people, and other studies have found that placing a mobile phone in view has a negative effect on the quality of face-to-face communications. Holding a mobile phone makes you less likely to get a fair hearing from others.（1）What is the first paragraph mainly about?A.A mobile phone won't distract people unless it's ringing.B.A paper notepad can help people record much information.C.Text messages distract people even if phones are power off.D.People find it hard to concentrate if their phones are present.（2）Who will be affected most according to the findings?A.People irregularly using phones.B.People regularly using phones.C.People usually using notepads.D.People always using computers.（3）In a face-to-face communication, what is the effect of putting a mobile phone in sight?A.It makes listeners feel much awkward.B.It causes other people to lose respect for you.C.It reduces people's attention to listening to others.D.It makes the air of the conversation more pleasant.（4）What can we infer from the text?A.People perform worse with a mobile phone at hand.B.Mobile phones do a lot of damage to people's health.C.People working with mobile phones will do very well.D.Phones should be banned in all schools and universities.二、七选五5. 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。
四川省蓉城名校联盟2020-2021学年第一学期高中2020级高一期中联考数学科解析版
蓉城名校联盟2020～2021学年度上期高中2020级期中联考数学科（学生版）考生注意：1.本试卷分第I 卷（选择题）和第II 卷（非选择题）两部分，共150分.考试时间为120分钟.2.请将各题答案写在答题卡上.3.本试卷主要考试内容：必修一全部内容.第I 卷一、选择题：本大题共12小题，每一小题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.已知集合{}2,1,0,1,2=--A ，{}Z 11=∈-≤≤B x x ，则=A B （ ）A.{}1,0,1-B.{}0,1C.{}1,1-D.{}0,1,22.下列函数与()f x x =是同一函数的是（ ）A ．2()x f x x=B．()f x =C ．22()log xf x = D ．2log ()2xf x =3.下列函数在(0,)+∞上为增函数的是（ ）A ．2()f x x =B ．2()f x x=C ．()lg(2)f x x =-D ．()24f x x =-+4.若函数()log (3)1(0,a f x x a =-+>且1)a ≠的图像恒过定点P ,则P 的坐标是（ ）A.)0,3(B.4,0（）C.(3,1)D.(4,1)5.已知函数3log 2,0,()1,0,3x x x f x x ->⎧⎪=⎨⎛⎫≤⎪ ⎪⎝⎭⎩则((2))f f -的值为（ ）A.4-B.2-C.0D. 26.已知函数)(x f y =的定义域为),1[+∞，则函数xx f x g -+-=41)32()(的定义域为( )A ．]4,1[-B ．)4,1[-C ．]4,2[D ．)4,2[7.已知关于x 的方程0822=+-ax x 的两个实根1x ，2x 满足221>>x x ，则实数a 的取值范围为 ( )A ．)3,22(B ．),2(∞+C ．),22(∞+D ．)3,22(-8.已知函数()(2)46,12,1x a x a x f x a x -+-⎧=⎨+>⎩≤满足对于任意的1x ，212()x x x ≠都有1212()()0f x f x x x ->-成立，则实数a 的取值范围是（ ）A ．31,2⎛⎤⎥⎝⎦B ．52,2⎛⎤ ⎥⎝⎦C ．3,22⎡⎫⎪⎢⎣⎭D ．51,2⎛⎤ ⎥⎝⎦9.已知函数)45(log )(221-+-=x x x f 在区间]1,[+m m 上是减函数，则m 的取值范围 ( )A ．3,2⎛⎤-∞ ⎥⎝⎦ B ．5,2⎡⎫+∞⎪⎢⎣⎭C ．31,2⎛⎤ ⎥⎝⎦D ．5,32⎡⎫⎪⎢⎣⎭10.设)(x f 是定义域为R 的偶函数，且在)0(∞+，单调递减，则 ( )A ．)31(log )3()3(24334f f f >>--B ．)3()3()31(log 34432-->>f f fC ．)3()3()31(log 43342-->>f f fD ．)31(log )3()3(23443f f f >>--11.已知函数2(1)1()|4|1x x f x x x ⎧+≤⎪=⎨->⎪⎩，，，，则关于x 的方程2()()0(03)f x af x a -=<<的所有实数根的和为（ ）A.3B.6C.9D.1212.已知不等式2112x x --≤的解集为M ，关于x 的不等式210ax x -+>的解集为N ，且M N N ⊆，则实数a的取值范围为（ ）A ．()0,+∞B ．1,4⎛⎫+∞ ⎪⎝⎭C ．2,9⎛⎫+∞ ⎪⎝⎭D ．1,2⎛⎫+∞ ⎪⎝⎭第II 卷二、填空题：本大题共4小题，每小题5分，共20分.把【答案】填在答题卡中的横线上.13.若{}21,a a ∈，则a = ． 14.不等式236212()2xxx --≥的解集为________． 15.设偶函数()f x 在()0-∞，上为增函数，且(3)0f =，则不等式()0x f x ⋅<的解集为 16.已知()221x x mf x +=+，若对1x ∀，2x ，3x ∈R ，总有()1f x ，()2f x ，()3f x 为某个三角形的三边边长，则实数m 的取值范围是_______．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.求下列各式的值：（1）2log 3232lg25lg8log 27log 223+-⨯+（2）()212323313(0.008)3850---⎛⎫⎛⎫+÷-π- ⎪⎪⎝⎭⎝⎭18.已知集合{}2540A x x x =-+≤，1282x B x ⎧⎫=≤<⎨⎬⎩⎭，若R 为全体实数集合．（1）求()AB R；（2）若{}23C x m x m =<≤+，()C AB ⊆，求m 的取值范围．19.已知函数2()3f x x ax a =++-，[]2,4x ∈-. （1）当2a =时，写出函数()f x 的单调区间和值域； （2）求()f x 的最小值()g a 的表达式.20.节约资源和保护环境是中国的基本国策．某化工企业，积极响应国家要求，探索改良工艺，使排放的废气中含有的污染物数量逐渐减少．已知改良工艺前所排放的废气中每立方米的污染物数量为04y mg =，首次改良后所排放的废气中每立方米污染物数量为1 3.94y mg =．设第n 次改良后所排放的废气中每立方米污染物数量为n y ，可由函数模型 1.5001()5(,*)n b n y y y y b n +=--⨯∈∈R N 给出，其中n 是指改良工艺的次数． （1）求b 的值；（2）依据国家环保要求，企业所排放的废气中含有的污染物数量每立方米不能超过2.08mg ，试问至少进行多少次改良工艺后才能使得该企业所排放的废气中含有的污染物数量达标．(参考数据：取lg20.3≈) 21.若函数4()221x f x =-+. （1）判断函数()f x 的单调性并且用定义法证明；（2）若关于x 的不等式(())(1)0f f x f t +-<有解，求实数t 的取值范围. 22.已知函数()42+=x xbf x 为奇函数.（1）求实数b 的值；（2）若对任意的[]0,1∈x ，有()23202--+<f x kx k 恒成立，求实数k 的取值范围； （3）设()()log 44-⎡⎤=+-⎣⎦x x m g x mf x （0>m ，且1≠m ），问是否存在实数m ，使函数()g x 在[]21,log 3上的最大值为0?若存在，求出m 的值，若不存在，请说明理由.蓉城名校联盟2020～2021学年度上期高中2020级期中联考数学科（解析版）考生注意：1.本试卷分第I 卷（选择题）和第II 卷（非选择题）两部分，共150分.考试时间为120分钟.2.请将各题答案写在答题卡上.3.本试卷主要考试内容：必修一全部内容.第I 卷一、选择题：本大题共12小题，每一小题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.已知集合{}2,1,0,1,2=--A ，{}Z 11=∈-≤≤B x x ，则=A B （ ）A.{}1,0,1-B.{}0,1C.{}1,1-D.{}0,1,2【答案】 A. 【解析】∵{}{}Z 111,0,1=∈-≤≤=-B x x ，则{}1,0,1=-AB ，故选A.2.下列函数与()f x x =是同一函数的是（ ）A ．2()x f x x=B ．()f x =C ．22()log xf x =D ．2log ()2xf x =【答案】 C ． 【解析】由题意得，()f x x =的定义域为R ，A ：2()x f x x=的定义域为()()-00∞+∞，，，与()f x x =的定义域不一样，排除A ．B ：()f x =R ，但是()f x x =，排除B ，D ：2log ()2xf x =的定义域为()0+∞，，排除D ，所以正确答案选C . 3.下列函数在(0,)+∞上为增函数的是（ ）A ．2()f x x =B ．2()f x x=C ．()lg(2)f x x =-D ．()24f x x =-+【答案】 A ． 【解析】2()f x x =在(0,)+∞上为增函数，A 正确；2()f x x=在(0,)+∞上为减函数，B 错误； ()lg(2)f x x =-为在(2,)+∞上为增函数，C 错误；()24f x x =-+在(0,)+∞上为减函数，D 错误；故选A ．4.若函数()log (3)1(0,a f x x a =-+>且1)a ≠的图像恒过定点P ,则P 的坐标是（ ）A.)0,3(B.4,0（）C.(3,1)D.(4,1)【答案】 D. 【解析】∵函数()log (0,a f x x a =>且1)a ≠的图像恒过点(1,0)，则令31,x -=得4x =， 此时log (3)11a y x =-+=，∴函数()log (3)1(0,a f x x a =-+>且1)x ≠的图像恒过点P (4,1)，故选D. 5.已知函数3log 2,0,()1,0,3x x x f x x ->⎧⎪=⎨⎛⎫≤⎪ ⎪⎝⎭⎩则((2))f f -的值为（ ）A.4-B.2-C.0D. 2【答案】 C. 【解析】由题意知：21(2)93f -⎛⎫-== ⎪⎝⎭，3((2))(9)log 92220f f f -==-=-=.6.已知函数)(x f y =的定义域为),1[+∞，则函数xx f x g -+-=41)32()(的定义域为( )A ．]4,1[-B ．)4,1[-C ．]4,2[D ．)4,2[【答案】 D 【解析】由题意得⎩⎨⎧>-≥-04132x x ，解得42<≤x ；选D.7.已知关于x 的方程0822=+-ax x 的两个实根1x ，2x 满足221>>x x ，则实数a 的取值范围为 ( )A ．)3,22(B ．),2(∞+C ．),22(∞+D ．)3,22(-【答案】 A 【解析】因为方程有两个不等实根，所以0814)2(2>⨯⨯-=∆a ，解得22>a 或22-<a ；又221>>x x ， 所以212x x a +=，所以22>a ，且2232)2(222>--=a a x ，解得3<a ，所以322<<x ，选A. 8.已知函数()(2)46,12,1x a x a x f x a x -+-⎧=⎨+>⎩≤满足对于任意的1x ，212()x x x ≠都有1212()()0f x f x x x ->-成立，则实数a 的取值范围是（ ）A ．31,2⎛⎤⎥⎝⎦B ．52,2⎛⎤ ⎥⎝⎦C ．3,22⎡⎫⎪⎢⎣⎭D ．51,2⎛⎤ ⎥⎝⎦【答案】B ． 【解析】根据题意，对于任意的1212,()x x x x ≠都有1212()()0f x f x x x ->- 成立则函数()(2)46,12,1x a x a x f x a x -+-⎧=⎨+>⎩≤在R 上是增函数∴1201(2)1462a a a a a ⎧->⎪>⎨⎪-⨯+-≤+⎩，解得52,2a ⎛⎤∈ ⎥⎝⎦，故选B ．9.已知函数)45(log )(221-+-=x x x f 在区间]1,[+m m 上是减函数，则m 的取值范围 ( )A ．3,2⎛⎤-∞ ⎥⎝⎦ B ．5,2⎡⎫+∞⎪⎢⎣⎭C ．31,2⎛⎤ ⎥⎝⎦D ．5,32⎡⎫⎪⎢⎣⎭【答案】C 【解析】由0452>-+-x x 得函数)(x f 的定义域为)4,1(，根据复合函数的单调性得⎪⎩⎪⎨⎧≤<<2541x x ，解得251≤<x ，∵函数)(x f 在区间]1,[+m m 上是减函数，∴]1,[+m m ⊆51,2⎛⎤ ⎥⎝⎦，⎪⎩⎪⎨⎧≤+>2511m m ，解得231≤<m ；选C. 10.设)(x f 是定义域为R 的偶函数，且在)0(∞+，单调递减，则 ( )A ．)31(log )3()3(24334f f f >>--B ．)3()3()31(log 34432-->>f f fC ．)3()3()31(log 43342-->>f f fD ．)31(log )3()3(23443f f f >>--【答案】A 【解析】∵)(x f 是定义域为R 的偶函数，∴)3(log )3log ()31(log 222f f f =-=，又x y 3=是R 上的增函数，∴3log 13324334<<<--，因为)(x f 在)0(∞+，单调递减，所以)31(log )3()3(24334f f f >>--；选A.11.已知函数2(1)1()|4|1x x f x x x ⎧+≤⎪=⎨->⎪⎩，，，，则关于x 的方程2()()0(03)f x af x a -=<<的所有实数根的和为（ ）A.3B.6C.9D.12【答案】C. 【解析】由题可知：函数()f x 为分段函数，则此题可分情况讨论方程根的问题.若1x ≤时，2()(1)f x x =+，代入方程2()()0(03)f x af x a -=<<有42(1)(1)0x a x +-+=. 当1x =-时，()0f x =，则方程恒成立，∴这是方程其中一个根，当1x ≠-时，2()(1)0f x x =+>，∴方程两边可同时除以2(1)x +，则方程变为2(1)0x a +-=，又知03a <<，则该方程有两根，∴方程展开有2210x x a ++-=，由韦达定理得122x x +=-；若1x >时，()|4|f x x =-，代入方程2()()0(03)f x af x a -=<<有2|4||4|0x a x ---=. 当4x =时，()0f x =，则方程恒成立，∴这是方程其中一个根， 又|4|0x ->，方程两边可同时除以|4|x -，则方程变为|4|0x a --=，当4x >时，方程为40x a --=，∴=4x a +，∴这是方程其中一个根， 当14x <<时，方程为40x a --=，∴=4x a -，∴这是方程其中一个根，综上所述：方程的实根有，1-，1x ，2x ，4，4a +，4a -，则所有实根之和为9，故选C. 12.已知不等式2112x x --≤的解集为M ，关于x 的不等式210ax x -+>的解集为N ，且M N N ⊆，则实数a的取值范围为（ ）A ．()0,+∞B ．1,4⎛⎫+∞ ⎪⎝⎭C ．2,9⎛⎫+∞ ⎪⎝⎭D ．1,2⎛⎫+∞ ⎪⎝⎭【答案】 B ． 【解析】()()()213031011221x x x x x x x --⇒⇒--≠--≤≤≤且，故(]1,3M = ∵MN N ⊆，∴M N ⊆，由题意可得：210ax x -+>在(]1,3x ∈上恒成立即21x a x ->在(]1,3x ∈上恒成立，故只需2max1x a x -⎛⎫> ⎪⎝⎭ 22211111124x x x x x -⎛⎫⎛⎫=-+=--+ ⎪ ⎪⎝⎭⎝⎭，当112x =即2x =时，2max 114x x -⎛⎫= ⎪⎝⎭，故14a >，故选B ． 第II 卷二、填空题：本大题共4小题，每小题5分，共20分.把【答案】填在答题卡中的横线上.13.若{}21,a a ∈，则a = ． 【答案】1-． 【解析】由题意可知：1a =或21a =，故1a =±.当1a =时，21a a ==不满足元素的互异性，故舍去；当1a =-时，{}{}2,1,1a a =-符合题意.14.不等式236212()2x xx --≥的解集为________． 【答案】(][),23,-∞+∞．【解析】不等式236212()2xxx --≥⇔232622x x x --≥，再由函数2x y =在定义域内单调递增，从而可得： ()()(][)22326560230,23,x x x x x x x x -≥-⇒-+≥⇒--≥⇒∈-∞+∞．15.设偶函数()f x 在()0-∞，上为增函数，且(3)0f =，则不等式()0x f x ⋅<的解集为 【答案】()()3,03,-+∞.【解析】由题可知：()f x 是偶函数，且在()0-∞，上为增函数，∴()()f x f x -=，易知()f x 的图象关于y 轴对称， ∴()f x 在()0+∞，上为减函数，又()f x 是偶函数，∴()()f x f x -=，则有(3)(3)0f f -==， ∴()3,0x ∈-时，()0f x >，0x <，则()0x f x ⋅<， ∴()3,x ∈+∞时，()0f x <，0x >，则()0x f x ⋅<， 综上所述：不等式()0x f x ⋅<的解集为()()3,03,-+∞.16.已知()221x x mf x +=+，若对1x ∀，2x ，3x ∈R ，总有()1f x ，()2f x ，()3f x 为某个三角形的三边边长，则实数m 的取值范围是_______．【答案】1,22⎡⎤⎢⎥⎣⎦．【解析】由题意可得：对1x ∀，2x ，3x ∈R ，总有()()()123f x f x f x +>恒成立，只需()()min max 2f x f x > ()2112121x x xm m f x +-==+++， ①当1m =时，()1f x =，满足题意；②当1m >时，()f x 在R 上单调递减，()1f x m <<，故需21m ⨯≥，即12m <≤；③当1m <时，()f x 在R 上单调递增，()1m f x <<，故只需21m ≥，即112m <≤，综上所述，m 的取值范围是1,22⎡⎤⎢⎥⎣⎦．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.求下列各式的值：（1）2log 3232lg25lg8log 27log 223+-⨯+（2）()212323313(0.008)3850---⎛⎫⎛⎫+÷-π- ⎪⎪⎝⎭⎝⎭【答案】（1）2 （2）139【解析】（1）原式232lg 27lg 23lg3lg 2lg5lg 232(lg5lg 2)323323lg 2lg3lg 2lg3=+-⨯+=+-⨯+=-+=（2）原式222213333227185011251812527--⎛⎫⎛⎫⎛⎫=+÷-=+÷ ⎪⎪ ⎪⎝⎭⎝⎭⎝⎭22241351213599⎛⎫=+⨯=+-= ⎪⎝⎭4219=+-139=18.已知集合{}2540A x x x =-+≤，1282x B x ⎧⎫=≤<⎨⎬⎩⎭，若R 为全体实数集合．（1）求()AB R；（2）若{}23C x m x m =<≤+，()C AB ⊆，求m 的取值范围．【答案】（1）[]3,4；（2）[)1,13,2⎡⎤-+∞⎢⎥⎣⎦．【解析】(1)由题得：()()254014014x x x x x -+≤⇒--≤⇒≤≤，即[]1,4A =； 同理：131282222x x -≤<⇔≤<，由函数2x y =在定义域内单调递增，可得[)1,3x ∈-． 即[)1,3B =-．从而有()[]3,4RAB =．(2)分类讨论集合C 是否为空集． ①当C =∅时，则233m m m ≥+⇒≥；②当C ≠∅时，由()C AB ⊆可得：231341221m m m m m <+⎧⎪⎪+≤⇒-≤≤⎨⎪≥-⎪⎩．综上所述：m 得取值范围为：[)1,13,2m ⎡⎤∈-+∞⎢⎥⎣⎦．19.已知函数2()3f x x ax a =++-，[]2,4x ∈-.（1）当2a =时，写出函数()f x 的单调区间和值域；（2）求()f x 的最小值()g a 的表达式.【答案】（1）[]0,25（2）273,4()3,844193,8a a a g a a a a a -≥⎧⎪⎪=--+-<<⎨⎪+≤⎪⎩. 【解析】（1）当2a =时，2()21f x x x =++，对称轴：1x =-，∴()f x 在[]2,1--上单调递减，在[]1,4-上单调递增.∴min ()(1)0f x f =-=，max ()(4)25f x f ==，故函数的值域为[]0,25.（2）∵2()3f x x ax a =++-的对称轴：2a x =-， ①若22a -≤-时，即4a ≥，()f x 在[]2,4-上单调增，∴min ()(2)73f x f a =-=-； ②若42a -≥时，即8a ≤-，()f x 在[]2,4-上单调减，∴min ()(4)193f x f a ==+； ③若242a -<-<-时，即84a -<<，()f x 在2,2a ⎡⎤--⎢⎥⎣⎦上单调减，在,42a ⎡⎤--⎢⎥⎣⎦上单调增， ∴2min ()()322a a f x f a =-=--+； ∴综上所述：273,4()3,844193,8a a a g a a a a a -≥⎧⎪⎪=--+-<<⎨⎪+≤⎪⎩．20.节约资源和保护环境是中国的基本国策．某化工企业，积极响应国家要求，探索改良工艺，使排放的废气中含有的污染物数量逐渐减少．已知改良工艺前所排放的废气中每立方米的污染物数量为04y mg =，首次改良后所排放的废气中每立方米污染物数量为1 3.94y mg =．设第n 次改良后所排放的废气中每立方米污染物数量为n y ，可由函数模型 1.5001()5(,*)n b n y y y y b n +=--⨯∈∈R N 给出，其中n 是指改良工艺的次数．（1）求b 的值；（2）依据国家环保要求，企业所排放的废气中含有的污染物数量每立方米不能超过2.08mg ，试问至少进行多少次改良工艺后才能使得该企业所排放的废气中含有的污染物数量达标．(参考数据：取lg20.3≈)【答案】 （1） 1.5-.（2）3.【解析】（1）由题意得04y =，1 3.94y =，所以当1n =时， 1.51001()5b y y y y +=--⨯，即 1.53.944(4 3.94)5b +=--⨯，解得 1.5b =-.（2）由（1）得排放的废气中含有的污染物数量的函数模型为 1.5 1.540.065n n y -=-⨯； 所以 1.5 1.540.065.208n n y -=≤-⨯， 整理得， 1.5 1.5 1.9250.06n -，即 1.5 1.5532n -， 两边同时取常用对数，得5lg32lg 25lg 21.5 1.5lg5lg51lg 2n -==-， 将lg20.3=代入，得5lg 230211 5.31lg 27⨯+=+≈-， 又因为*n N ∈，所以 2.43n ，所以3n =.综上，至少进行3次改良工艺后才能使得该企业所排放的废气中含有的污染物数量达标．21.若函数4()221x f x =-+. （1）判断函数()f x 的单调性并且用定义法证明；（2）若关于x 的不等式(())(1)0f f x f t +-<有解，求实数t 的取值范围.【答案】（1）减函数；（2）()1,3-.【解析】（1）判断：减函数，证明：任取1x ，2x ，假设12x x <，∴()()212144=222121x x f x f x ---+++()()()12124222121x x x x -=++， ∵12x x <，()()1221210x x ++>，()124220x x -<，∴()()210f x f x -<，∴函数()f x 在定义域上单调递减.（2）函数的定义域为R ，∵22224()22=()212121x x x x f x f x ---⨯⎛⎫-=-==--- ⎪+++⎝⎭， ∴()f x 是奇函数，∵(())(1)0f f x f t +-<，∴()(())1f f x f t <-，又∵()f x 在定义域上单调递减，∴()1f x t >-，所以，存在1()t f x >-，等价于()min 1()t f x >-，又∵()()2,2f x ∈-，()1()1,3f x -∈-∴ 1.t >-22.已知函数()42+=x x b f x 为奇函数. （1）求实数b 的值；（2）若对任意的[]0,1∈x ，有()23202--+<f x kx k 恒成立，求实数k 的取值范围； （3）设()()log 44-⎡⎤=+-⎣⎦x x m g x mf x （0>m ，且1≠m ），问是否存在实数m ，使函数()g x 在[]21,log 3上的最大值为0?若存在，求出m 的值，若不存在，请说明理由.【答案】（1）1=-b ；（2）32⎡⎫+∞⎪⎢⎣⎭,；（3）不存在m 满足条件，理由见解析. 【解析】（1）∵函数()42+=x xb f x 的定义域为R ，且为奇函数， ∴()010=+=f b ，解得1=-b .（2）∵()44112222+-===-x x x x x xb f x ， ∴()f x 在R 上单调递增，且()131222-=-=-f . ∵()23202--+<f x kx k ，则()()23212--<-=-f x kx k f ， 又函数()f x 在R 上单调递增，则221--<-x kx k 在[]0,1∈x 上恒成立，∴()12141>++-+k x x 在[]0,1∈x 上恒成立，设()()12141=++-+g x x x ，则()()max 312==<g x g k ， ∴实数k 的取值范围为32⎡⎫+∞⎪⎢⎣⎭,. （3）不存在，理由如下，设22-=-x x t ，38,23⎡⎤∈⎢⎥⎣⎦t ，()()2log 2=-+m h t t mt , ∴220-+>t mt 在38,23⎡⎤∈⎢⎥⎣⎦t 上恒成立， ∴min 2⎛⎫<+ ⎪⎝⎭m t t ，则176<m ，∵1≠m ，则()170,11,6⎛⎫∈ ⎪⎝⎭m . 对于二次函数()22=-+d t t mt ，开口向上，对称轴为2=m t ，∴11170,,22212⎛⎫⎛⎫∈ ⎪ ⎪⎝⎭⎝⎭m ∴对称轴一直位于38,23⎡⎤⎢⎥⎣⎦的左侧，则二次函数()22=-+d t t mt 在38,23⎡⎤⎢⎥⎣⎦上单调递增， 则()min 3317224⎛⎫==-+ ⎪⎝⎭d t d m ，()max 8882329⎛⎫==-+ ⎪⎝⎭d t d m ， 假设存在满足条件的实数m ，则当()0,1∈m 时，由复合函数的单调性判断方法，可知()()2log 2=-+m h t t mt 为减函数， ∴()max 0=h t ，则()()2min min 21=-+=d t t mt ，∴33171224⎛⎫=-+= ⎪⎝⎭d m ， ∴()160,13=∉m （舍）， 同理可知，当171,6⎛⎫∈ ⎪⎝⎭m 时，73171,246⎛⎫=∉ ⎪⎝⎭m （舍）， 综上所述，不存在实数m 满足条件成立.。