辽宁省实验中学2019--2020学年度上学期期中阶段测试

2019-2020学年辽宁省实验中学高一（上）期中化学试卷一、单选题（本大题共19小题，共47.0分）1. 下列说法正确的是( )A. 钠与CuSO 4溶液反应：2Na +Cu 2+=Cu ↓+2Na +B. Na 2O 2与水反应时，生成0.1 mol O 2，转移的电子数为0.2N AC. 足量Na 2O 2加到紫色石蕊溶液中，石蕊溶液最终变成蓝色D. 在酒精灯加热条件下，Na 2CO 3和NaHCO 3固体都能发生分解2. “84”消毒液(有效成分为NaClO)可用于消毒和漂白，下列实验现象的分析错误的是( ) 实验现象 混合后溶液的pH =9.9，短时间内未褪色，一段时间后蓝色褪去 混合后溶液pH =5.0，蓝色迅速褪去，无气体产生 混合后溶液pH =3.2，蓝色迅速褪去，并产生大量气体，使湿润的淀粉−碘化钾试纸变蓝①②②−+B. 实验③中产生的气体是Cl 2，由HClO 分解得到：2HClO =Cl 2↑+H 2OC. 对比实验②和③，溶液的pH 可能会影响ClO −的氧化性或Cl −的还原性D. 加酸可以提高“84”消毒液的漂白效果，但需要调控合适的pH 才能安全使用3. 常温下，下列各组离子在指定溶液中能大量共存的是( )A. 无色透明溶液中：K +,SO 42−,Na +,MnO 4−B. c (H +)c (OH −)=1×10−12的溶液中：NO 2−,Na +,[Al (OH )4]−,K +C. c (NO 3−)=1mol ⋅L −1的溶液中：H +,NH 4+,Fe 2+,Cl −D. 水电离的c (H +)=1×10−12mol ⋅L −1的溶液中：HCO 3−,SO 42−,K +,Cl −4. 用N A 表示阿伏加德罗常数的值，下列叙述正确的是( )A. 含有1mol 原子的氢气在标准状况下的体积约为22.4 LB. 25 ℃，1.01×105Pa ，64 g SO 2中含有的原子数为3N AC. 1 mol/L 的Na 2SO 4溶液含Na +数为2N AD. 标准状况下，11.2 L H 2O 含有的分子数为9g5. 将5mol ·L −1的Mg(NO 3)2溶液a mL 稀释至b mL ，稀释后溶液中NO 3−的物质的量浓度为( )A. 5ab mol⋅L−1 B. 10abmol⋅L−1 C. b5amol⋅L−1 D. abmol⋅L−16.已知某有机物9.2g与足量氧气在密闭容器中完全燃烧后，将反应生成的气体依次通过浓硫酸和碱石灰．浓硫酸增重10.8g，碱石灰增重17.6g，该有机物的化学式是()A. CH4OB. C2H4OC. C2H6OD. C2H6O27.下列有关物质分类的说法中，正确的是()A. SiO2不能和水反应，所以它不是酸性氧化物B. 只由一种元素组成的物质必然是纯净物C. 烧碱、冰醋酸、四氯化碳、石墨均为电解质D. 海水、氯水、氨水均为混合物8.实验中需0.5mol/L的NaOH溶液240ml，配制时应选用容量瓶的规格和称取NaOH的质量分别是A. 240ml，4.8gB. 250ml，5.0gC. 250ml，4.8gD. 任意规格，4.8g9.下列气体中可用如下图所示装置干燥、收集及处理尾气的气体是()①H2 ②HCl③NH3 ④Cl2 ⑤SO2 ⑥H2S⑦NOA. ①②B. ③④C. ②⑤D. ⑥⑦10.下列关于胶体和溶液的说法中，不正确的是()A. 胶体和溶液都是均一、稳定的分散系，静置不易产生沉淀B. 胶体与纳米级微粒在直径上具有相同数量级C. 光线通过时，胶体产生丁达尔效应，溶液则无丁达尔效应D. 向Fe(OH)3胶体中逐滴加入稀硫酸无明显现象11.若实验室根据“侯氏制碱法”的原理制备少量的NaHCO3，实验包括制取氨气→制取NaHCO3→分离NaHCO3→干燥NaHCO3四个步骤。

2019-2020学年辽宁省实验中学高三英语上学期期中考试试题及答案解析第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项ANothing beats live music, but the venue makes a difference. When you're able to score tickets to an incredible concert in an incredible place, you won't forget the experience. Here are some of the coolest music venues from around the world. If you haven't been to any of these, you've got some traveling to do.Red Rocks, Morrison, the United StatesRed Rocks might be the most beautiful and famous venue in the United States. At 6,450 feet above sea level, Red Rocks is a geologically formed natural stage. Its massive sandstone provides a perfect stage for jam bands. If you're into the blues and jazz, you'll have no trouble finding something in line with your interests.Meet Factory, Prague, Czech RepublicSmallest venues on this list, Meet Factory is an art gallery, theater, and music venue. The venue only accommodates 1,000 people, so you won't see any huge names come through. Still, it's a great place to see up-and-coming local acts, and if you've got an eye for contemporary art, you'll love your time here.Arena of NÎmes, NÎmes, FranceOriginally built around A. D. 70, the Arena of Nimes presents concertgoers with an interesting question: Should they enjoy the music, or marvel at the architecture? The Arena is, after all, one of the world's best-preserved Roman theaters. Many major touring acts plan stops at the Arena of Nimes, especially during the venue's annual festival.Sydney Opera House, Sydney, AustraliaThe Sydney Opera House is one of the world's most famous performing venues. I's also one of the most distinctive buildings in Sydney, thanks to the breathtaking design by Danish architect Utzon. It hosts about 40 events per week, so whether you're into jazz, rock, classical music, or opera, you'll find something to watch.1.Where can you enjoy music in natural beauty?A.At Red Rocks.B.At Meet Factory.C.At Arena of Nimes.D.At Sydney Opera House.2.What is special about Meet Factory?A.It enjoys breathtaking scenery.B.It hosts both musical and artistic events.C.It is the largest venue of all.D.It is famous for contemporary music.3.What do the listed music venues have in common?A.They have a long history.B.They are built near the sea.C.They accommodate thousands of people.D.They are beautiful tourist attractions.BNostalgia (怀旧) has become increasingly common in our current climate of accelerated, unexpected change. More and more Americans are turning back with longing towhat feels like simpler, sweeter times. They collect cassette tapes, manual typewriters even decades-old video games.Is it a mistake to get too obsessed with the past? Some psychologists warn that too much devotion to the so-called good old days is an escape from reality; it can indicate loneliness or that a person is having a difficult time coping in the present. Psychologist Stephanie Coontz argues that nostalgia distracts us from addressing the problems of modern life and contribute to anxiety, depression , insomnia etc.But new studies suggest that a modest dose of nostalgia is not only harmless, but actually beneficial. They suggest it helps strengthen our sense of identity and makes us feel more optimistic and inspired. It is also a tool for self — discovery and memories are a psychological immune response that is triggered when you want to take a break from negativity. Interestingly, those happy memories can be particularly beneficial both to kids in their teens and to society's elders. Recalling our childhood reminds us of “the times when we were accepted and loved unconditionally," says Krystine Batcho, a psychologist. "That is such a powerfully comforting phenomenon, knowing that there was a time in life when we didn't have to earn our love." Nostalgia can transform even the most ordinary past into legends which warms the heart and the body. Let's not forget that nostalgia has been a source of inspiration to innumerable American writers. Mark Twain recalled his boyhood, writing, "after all these years, I can picture that old time to myself now, just as it was then：The white town drowsing in the sunshine of a summer's morning."So go ahead, daydream a little about your best childhood friend, your first car, a long - gone family pct. As Dr. Sedikidessays，"Nostalgia is ly central to human experience. "But at the same time, keep these words of wisdom from the great inventor Charles Kettering in mind as well："You can't have a better tomorrow if you are thinking about yesterday all the time. "34. What did some psychologists in paragraph 2 probably agree?A. Nostalgia will cause some mental problems.B. Nostalgia makes us devoted to the good old days.C. Nostalgia shows you are trying to get rid of loneliness.D. Nostalgia helps us cope with the difficult time we are going through.5. There are many benefits of nostalgia except ________A. It can enable us to know ourselves better.B. It can bring us some comfort when we recall.C. We are likely to gain attention if we recall the happy childhood.D. We can sometimes break away from negativity with happy memories.6. What will be talked about in the following paragraph?A. The bad influence of too much devotion to nostalgia.B. The reasons why we should avoid nostalgia.C. The bad memories that always stick around you.D. The great changes nostalgia will bring to you.7. What's the best title of the passage?A. We all have a soft spot for nostalgia.B. Nostalgia is actually good for you.C. Don't be carried away by nostalgia.D. There are many times when we like to recall.CWe have most friends at the age of 26 afterhaving spent the first quarter of our lives building up our friendship circle, new research has claimed.The research into friendship shows that our social circle peaks at 26 years and 7 months, at which we typically have five close friends. Women are most popular at 25 years and 10 months, with men hitting the highest friendship point a little later at 27 years and 3 months.The research, by Forever Friends, shows that about a third of adults meet their closest friends while at school, with about a fifth saying they meet them at work.Social networks such as Facebook and Twitter now also play a major role in building new friendship. The research points out that 25 to 34-year-olds make 22 friends via Facebook, compared to 18 to 24-year-olds whomake 12, and 35 to 44-year-olds who make just four.Forever Friends' relationship coach Sam Owen says, “It is no coincidence that over a third of us meet our best friends at school. It is a key time in our lives when friendship is growing through sharing notes, giving gifts, seeing each other regularly and laughing a lot. As adults we can often forget how powerful these small things are and how the little things can make a difference."Later in life we find ourselves losing friends. Over half of us lose friendship through moving, while 36% say that over time they grow apart from close pals. Having children also causes 19% todrift away fromchildhood friends.With growing pressure being put on friendship these days, it's important to make time for our friendship.8. How many friends can a 20-year-old college student make via Facebook?A. 22.B. 18.C. 12.D. 4.9. In Paragraph 5, the author is trying to tell the readers ________.A. how important making friends isB. school time is an important period to develop friendshipC. how much has been done to keep friendshipD. that friendship is not easy to keep10. The underlined phrase "drift away from" in Paragraph 6 means ________.A. make sense ofB. make up withC. feel sorry forD. lose touch with11. This passage is mostprobably taken from ________.A. a newspaperB. an advertisementC. a textbookD. Facebook or TwitterDStarting at university or college can be a big challenge, especially if you’re living away from home for the first time. You arefaced with big questions such as, “Who’s going to do my washing?” “Who’s going to tidy my room?” And, most importantly, “How am I going to eat?” Yes, living on your own means cooking for yourself, and when you’re living a student lifestyle, this could be a recipe for disaster.Students, in the UK at least, often rely on generally available food such as baked beans or cheese on toast. And for the more adventurous, there’s “spag bol” — spaghetti bolognaise(肉酱意粉), that is, cooked spaghettiserved with a ground beef and tomato sauce — a budget-friendly solution. If you make a huge pan of it, it can probably last you a whole week! Other low-cost options include jar sauces and oven pizzas.Recently, a British supermarket suggested that rose harissa paste, organic cider vinegar and Swiss bouillon powder were the important food materials needed for the “student cupboard”. But are these items considered essential and affordable for someone on a budget?As a matter of fact, living on a budget is certainly one barrier to eating a well-balanced diet. What’s more, some young people don’t know much about cooking, and for many young students, there are more fun things to go and do than just stay inside and cook. That’s where takeaways and microwave meals come in.What should a health-conscious student really have in his or her food cupboard? Jack Monroe, a food writer and campaigner, has words to say: baked beans, lemon juice, canned tomatoes and tomato ketchup, described as “salt, sugar, vinegar and tomato all in one handy squeezy bottle”. And should that not appeal, you can always wait till your next visit to your mum and dad for a square meal!12. What does the author indicate by “this could be a recipe for disaster”?A. Cooking is difficult for a student.B. Students must cook if they live alone.C. It is important to live independently.D. Learning to cook will cause disasters.13. What is the feature of “spag bol”?A. It is delicious.B. It is healthy.C. It saves money.D. It needs little skill.14. What is paragraph 4 mainly about?A. How well-balanced diets can be realized.B. How students can eat healthily with limited money.C. Why living on a budget is common among students.D Why students choose takeaways and microwave meals.15. Why does the author write the last paragraph?A. To advocate visiting parents.B. To offer some tips.C. To promote health consciousness.D. To introduce a writer.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

辽宁省实验中学2019-2020学年高一上学期期中考试英语试卷第二部分阅读理解（共两节,满分35分）第一节（共10小题, 每小题2.5分, 满分25分）ALike many, I felt pressure from my parents and teachers to go to university and study something academic. With top grades I received at the end of high school, I was almost able to enter any course of my pick. Yet the thought of spending the next few years facing the four walls of a classroom caused a lump (肿块) in my throat.After a year majoring in photography at university, which was not just what I expected, I made the decision to take a break and go on a gap year. In fact, I gained more knowledge in the real world in four months than I did from my entire schooling, but most importantly, I learnt so much about myself.One day, my posted photos were noticed by Topdeck Travel, and they asked if they could use some of my travel pictures for their posters. This really was the beginning of my career. I began developing my relationship with Topdeck Travel, and before long, I got my first pay travel overseas to take photographs.Soon I reached the point where I had to make a decision— either to play it safe, go back to university and settle down like everyone else, or to follow my heart and go my own way— a path with an uncertain future. I chose the latter, and it was the scariest and best decision I have ever made.Five years after leaving school, I might not have a university degree, a well-paid job, a husband or a house with a white fence. Instead, I’m sitting at my office, with a cafe by a beach at Goa, India. As I stare past my laptop screen at the sun setting beyond the waves, a salty breeze touches my face.To me, success is about pursuing my dreams and creating my own path instead of trying to follow someone else’s. Somehow, I feel like my life is exactly where it is meant to be.21. What did the author think of going to university?A. She took it seriously.B. She showed little interest.C. She looked forward to it.D. She thought it was a must.22. What benefit did the author gain from her gap year?A. The knowledge about the real world.B. Her paid overseas travel experience.C. Realizing what she really wanted in her life.D. Knowing what really mattered at university.23. What can we infer about the author from the passage?A. She regrets not going back to university.B. She gets less knowledge in the real world.C. She feels quite satisfied with her present life.D. She misses the days working for Topdeck Travel.BIn Britain, business leaders are becoming increasingly concerned that growing numbers of new employees are unable to divide a real pie into eight equal slices.There are so many examples of the shortage of basic literacy and numeration(读写和计算) skills among many school and university leavers.A report from the Confederation of British Industry says the problem is so bad that one in three employers has to send staff for training to learn the English and maths they did not learn at school.“Employers’ views on numeration and literacy are clear — people must read and write fluently and must be able to carry out basic mental arithmetic (算术).” Richard Lambert, director general of the CBI, said.The CBI report, Working on the Three R’s,which was sponsored by the Department for Education, found that poor literacy was a problem in all fields, while poor numeration was of particular concern in the manufacturing and construction field.One company manager complained of a “total lack of knowledge of timetables” among staff, which meant many were unable to carry out simple calculations.A personnel manager for a construction firm said that many applicants were unable to construct a sentence and that grammar, and their handwriting and spelling were often “awful”. He also mentioned the case of an employee who became very expert at hiding his lack of literacy by getting his wife to write his reports for him. The problems are not limited to school leavers, but extend to higher levels of the education system, the CBI said.24. What would be the best title for the text?A. How to Divide a Pie into Eight PartsB. How to Grasp Basic Literacy and Numeration SkillsC. British School Leavers Lack Basic Literacy and Numeration SkillsD. Train School Leavers to Learn English and Maths25. According to the last paragraph, we can know that ________.A. literacy problems go beyond the education system.B. an employee asked his mother to write reports for himC. the schools were to blame for the lack of literacy skillsD. the applicants were poor students in school26. The purpose of writing this passage is to _________.A. offer ways to improve the school leavers’ basic skillB. criticize the existing education systemC. present some information about school leaversD. make comments on employmentCFruit farmers in Okayama, Japan, have managed to make peeling (去皮) a banana optional by developing a special variety with eatable skin. The peel of their “Mongee bananas” isn’t particularly tasty, but it’s much thinner and far less bitter than that of regular bananas, making it 100% eatable.Scientists at D&T Farm in the country’s Okayama Prefecture released the social media-ready news following months of experimenting with a freezing-and-thawing (解冻) method, which keeps the banana tree at extremely cold temperatures followed by a dramatic heat increase. The result is soft and thin skin that hasn’t fully developed. They froze young banana trees to -60 degrees Celsius, planting them again as they began to thaw. This apparently activated an ancient part of their DNA, which not only allows the plant to grow in Japan’s cool climate, but also speeds up its development. While tropical varieties of bananas require two years to grow large enough for consumption (消费), the Mongee banana needs just four months.The first bunch of Mongee bananas hit department stores’ shelves in the November of last year, but getting your hand on one of these incredible fruits remains a huge challenge. D&T Farm only produces 10 bananas per week, and they only deliver them to the Fruit Corner of Tenmanya Okayama, a local department store. But even if you happen to find one available, you’d probably be a bit put off by the price – 648 yen ($5.70) per fruit.Banana peel is an excellent ingredient that can contain vitamin B6 and magnesium related to the production of serotonin (血清素). At the same time, it has a positive effect on both brain and sleep. Research results that ripe fruit peels have a good effect on treating prostatic hypertrophy (前列腺肥大) have also been published.John Guterman, a botanist, says, “And what about shipping? For most of the fruit’s history, the peel has provided protection, allowing it to travel long distances. A softer, more bruise-prone banana would be a step back from hardy banana varieties that travel thousands of miles. In this sense, the day we all stop peeling bananas and instead bite straight through their skin may still bea long way away.27. Compared with regular bananas, Mongee bananas ________.A. are far easier to peelB. have much sweeter fleshC. are much more thin-skinnedD. have a longer growth period28. Why is it hard to buy a Mongee banana now?A. It isn’t affordable at all.B. It hasn’t come into the market yet.C. It is made for certain people.D. Its production ability is still limited.29. What does Paragraph 4 mainly talk about?A. The medical value of banana peel.B. The nutrition (营养) of banana peel.C. The way of making banana peel sweeter.D. The studies about how to make banana peel eatable.30. What does John think of the Mongee banana?A. It should not be widely grown.B. It won’t be spread widely soon.C. It indicates the future of fruits with skin.D. It has no advantage over regular bananas.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。

辽宁省实验中学2019--2020学年度上学期期中阶段测试高二英语试卷考试时间：120分钟试题满分：150分选择题部分第一部分：听力理解（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，从每题所给的A、B、C三个选项中选出最佳选项。

听完每段对话后，你都有10 秒钟的时间来回答有关小题和阅读下一小题。

每段对话，仅读一遍。

1.What is the woman going to do next?A.Have a meeting.B. See the manager.C. Do some translation.2.How did the woman feel about her performance?A.Satisfied.B. Disappointed.C. Worried.3.What was Tom doing?A.Talking with the postman.B.Running around the corner.C.Helping the postman with his work.4.Where are the speakers?A.At a library.B. At a computer lab.C. At a print shop.5.Why does the man come to the woman?A.To take a picture of her.B. To ask for a new ID card.C. To fill out a form.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。

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 think of the necklace?A.It is too old.B. It is beautiful.C. It is very fancy.7.What will the man probably do next?A.Take a break.B. Show the woman a ring.C. Give the woman a discount.听第7 段材料，回答第8、9题8.What does the woman like to do?A.Give zoo animals names.B. Save endangered animals.C. Play with animals.9.What does the woman say about her brother?A.He loves animals.B. He keeps a monkey.C. He is very naughty.听第8段材料，回答第10 至12 题10.What does Bob want to do?A.Borrow some money.B. Go to a football game.C. Give an interview.11.What does Bob’s father do?A. A postman.B. A journalist.C. A farmer.12.Where is Bob?A.In New York.B. In Los Angeles.C. In Manhattan.听第9段材料，回答第13 至16题13.Where is the brand name of the briefcase?A.In the middle of the back.B.At the top in the right-hand corner.C.At the bottom in the left-hand corner.14.What is inside the briefcase?A.The house keys.B. The iPad.C. The wallet.15.Where did the woman lose the briefcase?A.In a bike shop.B. On the platform.C. In the subway.16.What does the woman say about the briefcase?A.It is made of leather.B. It was locked.C. It’s a heavy box type.听第10段材料，回答第17 至20题17.What time will the lunch break start?A.At 11:40.B. At 11:50.C. At 12:0018.When will the changes take place?A.Next Wednesday.B. Next Thursday.C. Next Friday.19.What are the listeners asked to do?A.Visit the s peaker’s office.B. Take a sheet of information.C. Select food to order.20.What’s the speaker mainly talking about?A. A new product.B. Office hours.C. A recycling program.第二部分：阅读理解（共两节，满分35分）第一节（共10小题；每小题2.5分，满分25分）阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项。

辽宁省实验中学2019——2020学年度上学期期中阶段测试高二数学试卷考试时间：120分钟 试题满分：150分一、单项选择题（每题只有一个正确选项，将正确选项涂在答题卡相应位置，每题正确得5分，错误不得分，共10题，满分50分） 1.数列1,3,7,15，……的通项可以是（ ） A 、 12-nB 、12-nC 、12-nD 、12+-n n2、点()3,2A -，()3,2B ，直线10ax y --=与线段AB 相交，则实数a 的取值范围是（ ）A ．4132a -≤≤ B ．1a ≥或1a ≤-C ．11a -≤≤D ．43a ≥或12a ≤ 3．若直线1:260l ax y ++=与直线22:(1)10l x a y a +-+-=平行，则a =（ ）A ．2或－1B ．－1C ．2D ．234．以双曲线2213y x -=右焦点为圆心，且与双曲线的渐近线相切的圆的方程为（）A ．22(2)3x y ++= B ．22(2)9x y ++= C ．22(2)3x y -+=D ．22(2)9x y -+=5．若圆22240+-++=x y x y m 截直线30x y --=所得弦长为6，则实数m 的值为 A ．1-B ．2-C ．4-D ．31-6．若直线l 1：x ＋3y ＋m ＝0(m ＞0)与直线l 2：2x ＋6y －3＝0，则m ＝( )A ．7B ．172C ．14D ．177．已知椭圆22134x y C +=：的上焦点为F ，直线10x y +-=和10x y ++=与椭圆分别相交于点A 、B 、C 、D ，则AF BF CF DF +++=（） A．B ．8C ．4D．8．数列{}n a ，{}n b 满足11111,2,n n n nb a b a a n N b +++==-==∈，则数列{}na b 的前n 项和为（ ） A ．14(41)3n -- B ．4(41)3n- C ．11(41)3n -- D ．1(41)3n-9．美学四大构件是:史诗、音乐、造型(绘画、建筑等)和数学,素描是学习绘画的必要一步，它包括了明暗素描和结构素描而学习几何体结构素描是学习素描最重要的一步，某同学在画“切面圆柱体”(用与圆柱底面不平行的平面去截圆柱，底面与截面之间的部分叫做切面圆柱体，切面圆柱体中原圆柱的母线被截面所截剩余的部分称为切面圆柱体的母线)的过程中，发现“切面”是一个椭圆，若切面圆柱体的最长母线与最短母线所确定的平面截切面圆柱得到的截面图形是有一个底角为60度的直角梯形，则该椭圆的离心率为( ) A ．12 B．2C．1310．已知点P ，Q 分别在直线1:20l x y ++=与直线2:10l x y +-=上，且1PQ l ⊥，点()3,3A --，31,22B ⎛⎫⎪⎝⎭，则AP PQ QB ++的最小值为（）．ABCD．二、多项选择题（每题至少有两个正确选项，将所有正确选项涂在答题卡相应位置，每题5分，全部正确得5分，选项不全得2分，若有错误选项得0分，共2题，满分10分） 11.已知数列}{n a 为等差数列，11=a ，且842,,a a a是一个等比数列中的相邻三项，记)10(，≠=q q a b n a n n ，则}{n b 的前n 项和可以是（ ）A 、nB 、nqC 、21)1(q q nq nq q n n n ---++D 、2112)1(q q nq nq q n n n ---++++12.在平面直角坐标系中，有两个圆21221)2(:r y x C =++和22222)2(:r y x C =+-，其中21,r r 为正常数，满足4||42121>-<+r r r r 或，一个动圆P 与两圆都相切，则动圆圆心的轨迹方程可以是（ ） A 、两个椭圆B 、两个双曲线C 、一个双曲线和一条直线D 、一个椭圆和一个双曲线三、填空题（将正确答案填在答题卡相应位置，每题5分，共20分）13．实轴长为12,离心率为2,焦点在x 轴上的双曲线的标准方程为________________14．在数列{}n a 中，11a =，25a =，()*21n n n a a a n N ++=-∈，则2020a =______．15．已知直线1:350l x y +-=，2:310l kx y -+=．若1l ，2l 与两坐标轴围成的四边形有一个外接圆，则k =________．16．已知数列{}n a 中，11a =，1(2,)n n a a n n n N +--=≥∈，设12321111...n n n n nb a a a a +++=++++，若对任意的正整数n ，当1,2]m ∈（时，不等式213n m mt b -+>恒成立，则实数t 的取值范围是______．四、解答题（将解题步骤，必要的文字说明和计算结果写在答题卡相应位置，共70分） 17.（本题共10分）已知数列{}n a 是递增的等比数列，且14239,8.a a a a +==（Ⅰ）求数列{}n a 的通项公式； （Ⅱ）设n S 为数列{}n a 的前n 项和，11n n n n a b S S ++=，求数列{}n b 的前n 项和n T .18．（本题共12分）如图，DP y ⊥轴，点M 在DP 的延长线上，且3DM DP=.当点P 在圆221x y +=上运动时，（1）求点M 的轨迹方程.（2）过点1(1,)3Q 作直线l 与点M 的轨迹相交于A 、B 两点，使点Q 被弦AB 平分，求直线l 的方程．19．（本题共12分）黄河被称为我国的母亲河，它的得名据说来自于河水的颜色，黄河因携带大量泥沙所以河水呈现黄色， 黄河的水源来自青海高原，上游的1000公里的河水是非常清澈的.只是中游流经黄土高原，又有太多携带有大量泥沙的河流汇入才造成黄河的河水逐渐变得浑浊.在刘家峡水库附近，清澈的黄河和携带大量泥沙的洮河汇合，在两条河流的交汇处，水的颜色一清一浊，互不交融，泾渭分明，形成了一条奇特的水中分界线，设黄河和洮河在汛期的水流量均为20003m /s ，黄河水的含沙量为32kg /m ，洮河水的含沙量为320kg /m ，假设从交汇处开始沿岸设有若干个观测点，两股河水在流经相邻的观测点的过程中，其混合效果相当于两股河水在1秒内交换31000m 的水量，即从洮河流入黄河31000m 的水混合后，又从黄河流入31000m 的水到洮河再混合. （1）求经过第二个观测点时，两股河水的含沙量；（2）从第几个观测点开始，两股河水的含沙量之差小于30.01kg /m ?（不考虑泥沙沉淀）20．（本题共12分）已知椭圆22221(0)x y a b a b +=>>的左、右焦点为别为1F 、2F ，且过点(1,2和(22. （1）求椭圆的标准方程；（2）如图，点A 为椭圆上一位于x 轴上方的动点，2AF 的延长线与椭圆交于点B ，AO 的延长线与椭圆交于点C ，求ABC ∆面积的最大值，并写出取到最大值时直线BC 的方程．21．（本题共12分）已知椭圆C ：22221(0)x y a b a b+=>>的左、右焦点1F ，2F ，M 是椭圆上任意一点，若以坐标原点为圆心，椭圆短轴长为直径的圆恰好经过椭圆的焦点，且12MF F ∆的周长为4+． （1）求椭圆C 的方程；（2）设直线)0(:≠+=k m kx y l 是圆O ：2243x y +=的切线，l 与椭圆C 交与不同的两点Q ，R ，证明：QOR ∠的大小为定值．22．（本题共12分）规定：在桌面上，用母球击打目标球，使目标球运动，球的位置是指球心的位置，我们说球 A 是指该球的球心点 A ．两球碰撞后，目标球在两球的球心所确定的直线上运动，目标球的运动方向是指目标球被母球击打时，母球球心所指向目标球球心的方向．所有的球都简化为平面上半径为 1 的圆，且母球与目标球有公共点时，目标球就开始运动，在桌面上建立平面直角坐标系，解决下列问题：(1) 如图，设母球 A 的位置为 (0， 0)，目标球 B 的位置为 (4， 0)，要使目标球 B 向C(8， -4) 处运动，求母球 A 球心运动的直线方程；(2)如图，若母球 A 的位置为 (0， -2)，目标球 B 的位置为 (4， 0)，能否让母球 A 击打目标 B 球后，使目标 B 球向 (8，－4) 处运动?(3)若 A 的位置为 (0，a ) 时，使得母球 A 击打目标球 B 时，目标球 B(4， 0) 运动方向可以碰到目标球 C(8，211-)，求 a 的最小值（只需要写出结果即可）19-20上中 高二数学答案1-5 CBBCC 6-10 BBDCB 11 BD 12 ABC13 11083622=-y x 14 1- 15 1k =± 16 1t ≤17【答案】（Ⅰ）由题设可知83241=⋅=⋅a a a a ， 又941=+a a ，可解的⎩⎨⎧==8141a a 或⎩⎨⎧==1841a a （舍去）由314q a a =得公比2=q ， 故1112--==n n n q a a .（Ⅱ）1221211)1(1-=--=--=n nn n q q a S 又1111111n n n n n n n n n n a S S b S S S S S S +++++-===-所以n n b b b T +++= (21)11132211111...1111++-=⎪⎪⎭⎫⎝⎛-++⎪⎪⎭⎫ ⎝⎛-+⎪⎪⎭⎫ ⎝⎛-=n n nS S S S S S S S12111--=+n .18【答案】（1）221(0)9x y x +=≠（2）320x y +-=（１）设),(y x M ，则),3(y x P ，因为点P 在圆上，所以1922=+y x ，即为点M 的轨迹方程。

辽宁省实验中学2019-2020学年高一数学上学期期中试题考试时间：120分钟 试题满分：150分一、选择题（本大题共12个小题，每小题5分，共60分.第10题和第11题为多选题，漏选得2分，错选不得分.其余小题每道题只有一个选项）.1、已知{}{}{}3,2,1,2,1,0,7==≤∈=B A x N x U ，则()=B A C U I （ ） {}7,6,5,4,3.A {}7,6,5,4,0.B {}7,6,5,4,3,0.C {}7,6,5,3,0.D 2、命题“0,≥+∈∃x x Q x ”的否定是（ ） 0,.<+∈∃x x Q x A ()0,.<+∈∀x x Q C x B R0,.<+∈∀x x Q x C 0,.≥+∈∀x x Q x D3、下列函数是奇函数，且在()+∞,0上为增函数的是（ ）()2412.x x x f A -= ()2.x x x f B = ()x x f C =. ()31.x x x f D -=4、已知函数(),0,10,122⎪⎩⎪⎨⎧≤+->+=x x x x x f 则=⎪⎪⎭⎫⎝⎛⎪⎭⎫ ⎝⎛-21f f （ ）1625.A 167.B 169.-C 169.D 5、已知区间[]1,+=a a M ，则下列可作为“01,>+∈∀x M x ”是真命题的充分不必要条件的是（ ）1.->a A 0.>a B 1.-≥a C 0.≤a D6、已知正实数b a ,满足⎩⎨⎧=+-=+022124322b a b a ，21,x x 为方程012=++bx ax 的根，则=+221221x x x x （ ） 23.A 23.-B 1.C 1.-D 7、已知函数(),5432+=+x x f 且()3=a f ，则=a （ ） 2.A 2.-B 1.C 1.-D8、已知定义在R 上的偶函数()x f ，且()x f 对任意的[)()2121,,0,x x x x ≠+∞∈，都有()()01212<--x x x f x f ，若()()13+≤a f a f ，则实数a 的取值范围为（ ） ⎥⎦⎤⎢⎣⎡--41,21.A []1,2.--B ⎥⎦⎤ ⎝⎛-∞-21,.C ⎪⎭⎫⎝⎛+∞-,41.D9、若正数y x ,满足022=-+xy x ，则y x +3的最小值是（ ） 4.A 22.B 2.C 24.D10、（多选）已知函数()2211xx x f +-=，则下列对于()x f 的性质表述正确的是（ ） .A ()x f 为偶函数 ()x f x f B -=⎪⎭⎫⎝⎛1. ()x f C .在[]3,2上的最大值为53-.D ()()x x f x g +=在区间()0,1-上至少有一个零点 11、（多选）下列命题中为真命题的是（ ） .A 不等式()1112>-+x x 的解集为[]3,0 .B 若()x f y =在I 上具有单调性，且I x x ∈21,，那么当()()21x f x f =时，21x x =.C 函数()()1,11224-=+-=x x g x x x f 为同一个函数 .D 已知0,,>c b a ，则ac bc ab c b a ++≥++12、 已知函数()x f 的定义域为R ，满足()()22+=x f x f ，且当[)0,2-∈x 时，()491++=x x x f ，若对任意的[)+∞∈,m x ，都有()31≤x f ，则m 的取值范围为（ ） ⎪⎭⎫⎢⎣⎡+∞-,511.A ⎪⎭⎫⎢⎣⎡+∞-,310.B ⎪⎭⎫⎢⎣⎡+∞-,25.C ⎪⎭⎫⎢⎣⎡+∞-,411.D 二、填空题（本大题共4个小题，每小题5分，共20分） 13、已知正数b a ,，121=+ba ，则ab 3的最小值为_______ 14、已知函数()1-x f 的定义域为[]2,1，则()12+x f 的定义域为____ 15、已知不等式012<--t x 的解集为A ，且A ⊆⎪⎭⎫⎝⎛-31,21，则_______∈t16、已知函数()()212++-=ax x x f 在[]2,1上存在零点，则实数a 的取值范围为__________三、解答题（本大题共6个小题，共70分，解答应写出必要的文字说明、证明过程或演算步骤）17、（本小题满分10分）（1）已知集合{}01452>++-=x x x A ，{}0512>-+=x x B ，求B A Y ; （2）已知函数()()132-+-=x m x x f 在区间()4,2上仅有一个零点，求实数m 的取值范围.18、（本小题满分12分）已知函数 ()xx x f 322+=（1）判断并证明函数()x f 的奇偶性 ;（2）判断并证明函数()x f 在[]4,2∈x 上的单调性.19、（本小题满分12分）已知定义在[]1,1-上的奇函数()x f ，当10≤≤x 时，()a x x x f +--=22（1）求实数a 的值及在[]1,1-上的解析式;（2）判断函数()x f 在[]1,1-上的单调性（不用证明）; （3）解不等式()()0112>-+-x f x f .20、（本小题满分12分）（1）已知1,1≥≥y x ，证明：y x y x xy y x ++≤++22221; （2）已知正数c b a ,,，且满足3=++c b a ，证明：12941≥++c b a .21、（本小题满分12分）经济学中，函数()x f 的边际函数()x M 定义为()()()x f x f x M -+=1，利润函数()x P 的边际利润函数定义为()()()x P x P x M -+=11。

2019-2020学年辽宁省实验中学高三英语上学期期中试题及参考答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项AWhat to Eat—and What to Skip—When It Comes to Takeout FoodIf the burden on your wallet doesn't bother you much, the effect your takeout habit can have on your waistline just might arouse your attention. Here's the best and worst of the lot for your belly.Steamed Vegetable Dumplings: Order This.When she orders Chinese, registered dietitian nutritionist Elisa Zied gets an order of steamed vegetable dumplings. "I often pair them with either chicken and broccoli in brown sauce（I ask for a little saucemade without sugar）or steamed shrimp dumplings," she tells us.Crab Wontons: Not That!When you deconstruct crab wontons, it's easy to see why they're a "Not That!" The inside is filled with crabmeat and cream cheese（which is just a fancy, spreadable fat）.The wonton is made of refined flour, egg and salt and the crispy（脆的）coating is a result of a deep oil bath.Peking Duck: Order This.Most of the fat from the skin flows out of the duck over the course of cooking, making this a healthier choice than most of the stir-fry dishes available. Order a side of steamed vegetables and serve it with a small scoop of brown rice. Done and done!Sweet and Sour Anything: Not That!Anything with “sweet and sour” in its title is a powerful cue that something has been deep-fried and covered in a sickly-sweet pink sauce. If you pair your selection with a side of rice, you're looking at a 1,000-calorie meal.Summer Roll: Order This.Summer rolls are steamed instead of fried—and typically filled with lean proteins and vegetables, making them a winning appetizer in our book. Pair them with an order of edamame（毛豆）and a broth-based soup for a satisfying, filling meal.Spring Roll: Not That!Spring=deep-fried, which is why we say to skip them! They're filled with fat and calories your belly doesn't need.1.What kind of cooking method should be skipped according to the text?A.Steaming.B.Stir-frying.C.Deep-frying.D.Boiling.2.Which of the following suits as a good starter for a meal?A.Chicken and broccoli.B.Steamed vegetable dumplings.C.Peking duck.D.Summer rolls.3.Where can the text be found?A.In a recipe.B.In a guidebook.C.In a science fiction.D.In a health magazine.BFor most thinkers since the Greek philosophers, it was self-evident that there is something called human nature, something that constitutes the essence of man. There were various views about what constitutes it, but there was agreement that such an essence exists—that is to say, that there is something by virtue of which man is man. Thus man was defined as a rational(理性的) being, as a social animal, an animal that can make tools, or a symbol-making animal.More recently, this traditional view has begun to be questioned. One reason for this change was the increasing emphasis given to the historical approach to man. An examination of the history of humanity suggested that man in our time is so different from man in previous times that it seemed unrealistic to assume that men in every age have had in common something that can be called “human nature.” The historical approach was strengthened, particularly in the United States, by studies in the field of cultural anthropology (人类学). The study of primitive peoples has discovered such a diversity of customs, values, feelings, and thoughts that many anthropologists arrived at the concept that man is born as a blank sheet of paper on which each culture writes its text. Another factor contributing to the tendency to deny the assumption of a fixed human nature was that the concept has so often been abused as a shield(盾牌) behind which the most inhuman acts are committed. In the name of human nature, for example, Aristotle and most thinkers up to the eighteenth century defended slavery. Or in order to prove the rationality and necessity of the capitalist form of society, scholars have tried to make a case for acquisitiveness, competitiveness, and selfishness as natural human characters. Popularly, one refers cynically（愤世嫉俗地）to “human nature” in accepting the inevitability of such undesirable human behavior as greed, murder, cheating and lying.Another reason for disbelief about the concept of human nature probably lies in the influence of evolutionarythinking. Once man came to be seen as developing in the process of evolution, the idea of a substance which is contained in his essence seemed untenable. Yet I believe it is precisely from an evolutionary standpoint that we can expect new insight into the problem of the nature of man.4. Most philosophers believed that human nature ________.A. is the quality distinguishing man from other animalsB. consists of competitiveness and selfishnessC. is something partly innate and partly acquiredD. consists of rationality and undesirable behavior5. The traditional view of “human nature” was strongly challenged by ________.A. the emergence of the evolutionary theoryB. the historical approach to manC. new insight into human behaviorD. the philosophical analysis of slavery6. According to the passage, anthropologists believe that human beings ________.A. have some characters in commonB. are born with diverse culturesC. are born without a fixed natureD. change their characters as they grow up7. The author mentioned Aristotle, a great ancient thinker, in order to ________.A. emphasize that he contributed a lot to defining the concept of “human nature”B. show that the concept of “human nature” was used to justify social evilsC. prove that he had a profound influence on the concept of “human nature”D. support the idea that some human characters are inherited.CWhen the COVID-19 hit and supermarket shelves were empty, Chris Hall and Stefanny Lowey decided they no longer wanted to rely on others for food. The couple, who live on Pender Island in BritishColumbia, Canada, decided to start a year-long challenge where they wouldn't buy a single thing to eat. Instead they would grow, raise or catch everything—right down to sugar, salt and flour. Now, five months in, they say the challenge has changed their lives.Chris, 38, said, “It has always been something that we have wanted to do. We have had a garden and grown vegetables for a long time already. When the COVID-19 hit, it gave us that extra push that we needed to do it. We were both out of work when we started, and with the reality check of grocery stores running out of items, it gave us even more motivation to see if we could look after ourselves.”The pair spent the months before building a house for chickens, ducks and turkey as well as studying as muchas possible to figure out where they would get all the things they needed. Chris adds, “We had to learn so many new things like how to grow mushrooms, process our Stevia plants, and harvest salt from the ocean. We spent a lot of time reading and studying online to figure out all the things we were going to need to do.”Now after five months, they both feel its been going well but Chris admits the first few weeks were difficult. “The first three weeks were very challenging as our bodies adjusted to cutting out coffee, wine and sugar all on the same day,” he says. “After three weeks our energy levels balanced out and our wishes reduced and now we feel great.” Now February has ended. As they come through winter, they feel positive about continuing with this way of living, with their challenge officially ending in August.8. Why did the pair decide to produce foods on their own?A. They were isolated by Pender Island.B. They couldn't afford to buy them because they were out of work.C. They believed it's good for their health.D. They could hardly buy them in shops.9. Which words can be used to describe the couple?A. Rich and generous.B. Helpful and positive.C. Optimistic and self-dependent.D. Motivated and brave.10. What can we learn from the last paragraph?A. Their challenge may last about eleven months in total.B. They were discouraged by the difficulty at first.C. They had difficulty because they wanted more.D. They couldn't adjust their bodies to the hard work after three weeks.11. In which column may you read such a passage?A. Sports.B. Agriculture.C. Lifestyle.D. Business.DRecently, I experienced a wonderful lesson in how little things still meana lot. My brother, mother and I live in Hawaii. Our farm is at least a dozen miles from even the most basic of services. Therefore, I take weekly trips to the shop to gel supplies. About a month ago, I finished loading up the car and was about to leave when a piece of paper on the ground caught my eye. I picked it up and read it carefully.Immediately, I was grateful that I had done that___4___It was a receipt (收据) from the State Motor Vehicle Division, recording the owner's payment of her Vehicle's Registration fees. I put myself in his or her shoes and thought: no one would throw this away. I looked over the receipt for any personal data, perhaps a license plate (车牌) or telephone number, but failed. How could I find the owner in the busy, crowded parking lot? Had it been lying there for a few minutes or a week? So I checked the date, the fees paid and the name of the owner, who must live in our town. I decided that the best and easiest step to take was to put the receipt in an envelope and send it to the owner first the next morning.By the end of the week, I received a beautiful “thank you” letter from a woman including a handwritten message and a card. In the letter, the woman explained how the wind took her receipt from a pocket in her car's passenger door. She had searched everywhere for quite some time before giving up.It felt great to know I had helped someone avoid a loss by doing something that seemed little and unimportant.12. What does the underlined sentence in paragraph 1 mean?A. He was lucky to learn the lesson.B. It was a good idea to do shopping that day.C. He was right to pick up the paper.D. It turned out the paper belonged to the writer.13. What information did the writer get from the paper?A The woman's license plate number.B. The woman's phone number.C. The woman's name.D. The woman's address.14. How did the woman lose the receipt?A. She forgot where she had put it.B. A strong wind blew it away.C. It fell onto the floor.D. She left it in the parking lot.15. What can be the best title for the text?A. A Lesson I Will Never ForgetB. Never Lose Heart or Give upC. Little Things Still Mean a LotD. Think Carefully Before You Act第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。