2020年高考新题型填空题预测试题

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2020届新高考英语新题型练习01 完形填空阅读理解七选五套餐练(1)(含答案)

2020届新高考英语新题型练习01 完形填空阅读理解七选五套餐练(1)(含答案)

2020届新高考英语新题型练习完形填空阅读理解七选五套餐练(1)完形填空(山东省临沂市2020年高三上学期期末考试)Three years ago,I participated in Model United Nations(MUN)held by the Education Department,which was a mock(模拟的)UN activity.During the two days,students are separated in different groups which 21 different countries to debate and try to solve problems.MUN has 22 awards:best delegates(代表),honorary mentions,and verbal mentions.Each time I participate in MUN,I made good 23 and undoubtedly got a few awards.But I often felt as if I’d 24 because I had never won the best delegate award.I 25 those who didn’t deserve to win the award but won it various times,and I was just filled with 26 at their success.But later I realized that it was also 27 not to get the award because I could actually 28 something,and that I shouldn’t 29 the best delegate award until I was the best delegate I could be.Failures are completely subjective—we can look at a result as a failure or a 30.Any failure can be regarded as a(n) 31 because you can always learn something from it and do 32 next time.This is supported by John Locke’s theory that we are born with blank views:knowledge and ability are learned from our 33.That’s true.If I make a mistake in the life practice,then I probably won’t 34 that next time.I believe this is 35 the best way to become better.21.A.strengthen B.condemn C.inspire D.represent 22.A.identical B.temporary C.various D.false 23.A.preparations B.predictions C.appointments D.explanations 24.A.accelerated B.failed C.exited D.succeeded 25.A.approached B.trained C.expected D.witnessed26.A.relief B.envy C.satisfaction D.delight 27.A.annoyed B.ashamed C.good D.terrible 28.A.desert B.1earn C.delete D.display29.A.win B.miss C.deliver D.value30.A.bond B.bet C.victory D.1oss31.A.aim B.benefit C.burden D.1imit32.A.funnier B.worse C.better D.slower33.A.decisions B.attitudes C.positions D.experiences 34.A.repeat B.admit C.accept D.notice 35.A.wrongly B.scarcely C.truly D.narrowly阅读理解(山东师大附中2017级第三次月考)AI was in the garden with Augie, my grandson, watching the bees. “How do they make honey?” Augie asked. “Actually, Augie, I don’t know,” I replied. “But, Grandma, you have your phone,” he said. For Augie, holding a smartphone almost means knowing everything.During my childhood I was crazy about books. Over time, reading hijacked my brain, as large areas once processing the real world adapted to processing the printed word. As far as I can tell, this early immersion (沉浸) didn’t prevent my development.Many parents worry that “screen time” will damage children’s development, but recent research suggests that most of the common fears about children and screens are unfounded. There is one exception: looking at screens before bed really disturbs sleep, in people of all ages. The American Academy of Pediatrics (AAP) used to recommend strict restrictions on screen exposure. Last year, the organization examined the relevant science more thoroughly and changed its recommendations. The new guidelines stress that what matters is what children watch and with whom.New tools have always led to panic guesses. The novel, the telephone, and the television were all declared to be the End of Civilization, particularly in the hands of the young. Part of the reason may be that adult brains require a lot of focus and effort to learn something new, while children’s brains are designed to master new environments naturally. New technologies always seem disturbing to the adults attempting to master them, while attractive to those children likeAugie.When Augie’s father got home, Augie rushed to meet him and said in excitement. “Daddy, Daddy, look,” he said, reaching for my phone. “Do you know how bees make honey? I’ll show you…”21. Which of the following can best replace the underlined word “hijacked” in Paragraph 2?A. occupied.B. damaged.C. improved.D. relaxed.22. What do the new guidelines of AAP focus on about “screen time”?A. The harm to children.B. The content and context.C. Children’s sleep.D. People’s fears.23. What might be the author’s attitude towards “screen time”?A. Opposed.B. Doubtful.C. Disappointed.D. Favorable.BToday companies have branches around the world. More than 11% of the US employers and employees work online either full-time or part-time, and that number is continuing growing. It is believed that it is a waste of time and money to fly around the world for face-to-face meetings. An effective solution to this problem is to use Web meetings.A large group of presentations, training classes and meetings are done online without losing the face-to-face experience. Web meetings are online meetings where an organizer invites attendees to listen to or watch an online presentation by presenters. Besides, Web meetings can be recorded for later use in presentations or training projects or downloaded for on-demand playback.Presenters can take real-time surveys to study how to hold a successful meeting. Some Web meeting software programs can monitor the users’ desktop behavior to see if they become distracted from the presentation and begin working on other documents. If so, the program can tell presenters when the listeners lose their attention, and how long the distraction lasts. In this way, the presenters will know which parts of their meetings need improving.Web meetings can work well because they’re hosted on a server (服务器). Images from the presenter’s desktop are taken, uploaded to a server and then downloaded by people who have accessto the server. Web meetings require a powerful server to deal with several images a second and “serve” them back to thousands of users at the same time.Companies have two choices when it comes to these servers. They can either buy a special Web meeting server to host their meetings on-site, or they can pay for a Web meeting service every time and let the off-site provider worry about hosting the meetings. The choice depends on how frequently the company holds Web meetings, the average number of people attending the meetings, and the quality of engineering and information technology.Web meetings are an excellent example of how technology is changing the way we do business. With all the technologies today, the traditional office might soon be a thing of the past.24.What is the disadvantage of the traditional meeting?A.It needs more people to organize it.B.It is expensive and time-consuming.C.It results in traffic accidents frequently.D.It fails to meet the demands of big companies.25.How do some Web meeting software programs help improve the meetings?A.By presenting successful documents.B.By recording the frequency of distraction.C.By tracking the listeners’ state of attention.D.By taking surveys about a successful meeting.26.What do you know about Web meetings according to the text?A.Web meetings are likely to be widely used.B.Web meetings help presenters stay focused.C.Web meetings determine the quality of engineering.D.Web meetings work well without the help of a server.CEvery year, thousands of teenagers participate in programs at their local art museums. But do any of them remember their time at museum events later in life? A new report suggests that the answer is yes – and finds that alumni (毕业生) of arts-based museum programs credit them with changing the course of their lives, even years after the fact.The Whitney Museum of American Art, the Walker Art Center and the Museum of Contemporary Art, Los Angeles recently asked researchers to conduct a study to find out how effective their long-standing teen art programs really are. They involved over 300 former participants of four programs for teens that have been in existence since the 1990s. Alumni, whose current ages range from 18 to 36, were invited to find out how they viewed their participation years after the fact.Among the alumni surveyed, 75 percent of alumni rated the teen program experience as the most favorable impact on their own lives, beating family, school and their neighborhoods. Nearly 55 percent thought t hat it was one of the most important experiences they’d ever had, regardless of age. And two-thirds said that they were often in situations where their experience in museums affected their actions or thoughts.It turns out that participating in art programs also helps keep teens enthusiastic about arts even after they reach adulthood: 96 percent of participants had visited an art museum within the last two years, and 68 percent had visited an art museum five or more times within the last two years. Thirty-two percent of program alumni work in the arts as adults.Though the study is the first of its kind to explore the impact of teen-specific art programs in museums, it reflects other research on the important benefits of engaging with the arts. A decade of surveys by the National Endowment for the Arts found that childhood experience with the arts is significantly associated with their income and educational attainment as adults. Other studies have linked arts education to everything from lower drop-out rates to improvement in critical thinking skills.27. What does the underlined phrase “the fact” in Paragraph 1 refer to?A. Changing the course of children’s life.B. Participating in childhood art programs.C. Organizing arts-based museum programs.D. Remembering the time at museum events.28. What does Paragraph 2 mainly tell?A. The result of the study.B. The process of the study.C. The approach to the study.D. The object and content of the study.29. What can be inferred of the study mentioned in the text?A. Passion for arts may remain long in kids’ whole life.B. No other studies exist concerning the benefits of arts.C. Age matters in how people view their art experiences.D. Most children taking part in art programs will work in arts.30. Which of the following can be the best title for the text?A. How is Art Connected to Our Life?B. Can Art Education Affect Our Income?C. What Should Art Museums do for Kids?D. Should Children Walk into Art Museums?七选五(山东师范大学附属中学2020届高三第三次月考)Words have the power to build us up or tear us down. It doesn’t matter if the words come from ourselves or someone else. The positive and negative effects are just as lasting.31 We’re usually too embarrassed to admit it, though. In fact, we really shouldn’t be because more and more experts believe talking to ourselves out loud is a healthy habit. This “self-talk” helps us motivate ourselves, remember things, solve problems, and calm ourselves down. Be aware, though, that as much as 77% of self-talk tends to be negative. 32Often, words come out of our mouths without us thinking about the effect they will have. But we should be aware that our words cause certain responses in others. For example, when returning an item to a store, we might use warm, friendly language during the exchange. And the clerk will probably respond in a similar manner. 33Words possess power because of their lasting effect. Many of us regret something we oncesaid. We remember unkind words said to us as well. Before speaking, we should always ask ourselves: 34 If what we want to say doesn’t pass this test, then it’s better left unsaid.Words possess power: both positive and negative. Those around us receive encouragement when we speak positively. We can offer hope, build self-esteem and motivate others to do their best. 35 Will we use our words to hurt or to heal? The choice is ours.A.Is it loving?B.How should I say it?C.We all talk to ourselves sometimes.D.Negative words destroy all those things.E.Generally people like positive and pleasant words.F.However, critical language may cause anger and defense.G.So we should only speak encouraging words to ourselves.参考答案完型填空21-25DCABD 26-30 BCBAC 31-35 BCDAC阅读理解21-25ABD BC 26-30 ABDAD七选五CGFAD。

2020新高考英语新题型练习05 完形填空阅读理解七选五套餐练(5)附答案

2020新高考英语新题型练习05 完形填空阅读理解七选五套餐练(5)附答案

完形填空阅读理解七选五套餐练(5)完形填空(山东省潍坊市临朐2019-2020学年高三阶段性监测)I would like to send a huge shout out to Valerie, a manager at Home Depot. I, together with my son--- a boy with special needs, came in to 36 up a refrigerator box that she 37 for me. I was 38 to use it to build a police car for Halloween around my son’s wheelchair. When I explained the 39 to Valerie, she did not 40 to offer help. After getting the box, Valerie started to 41 down to cut the box for me. My son was happy to 42 her and they got along well with each other in doing the work.After we got the box loaded, Valerie helped us brainstorm and find the other 43 we would need. Then, as we neared the checkout, she had the entire order 44 . I tried to refuse but she just said that it would bless her 45 . My disabled son may not have understood anything 46 that Valerie was kind and patient with him, but I really appreciated this huge act of 47 . The biggest blessing for me was the way she 48 my son and the way he responded to her.Thanks to Valerie, Home Depot was also 49 their Saturday craft work-shops(手工艺作坊)into my son’s school. This way, our special kids could have 50 to a wonderful environment, where they could make their own crafts! Almost all kids in the class were 51 at the activities, which made them feel the value of themselves. It turned out to be 52 with all of them at last.I think one of the most 53 things that special-needs parents need to understand is that it’s OK to let other people in. Sometimes it’s hard to accept others’ 54 ; but when you refuse it, you 55 stand in the way of letting other people bless you and in turn that blesses them.36.A. build B. pick C. show D. cut37.A. kept B. bought C. made D. chose38.A. commanded B. planning C. studying D. instructed39.A. theory B. problems C. rules D. project40.A. hesitate B. pretend C. Agree D. Dare41.A. bend B. take C. turn D. put42.A. trust B. pity C. please D. join43.A. material B. methods C. ideas D. assistance44.A. changed B. shared C. paid D. arranged45.A. quickly B. privately C. quietly D. greatly46.A. along with B. next to C. instead of D. other than47.A. understanding B. kindness C. harmony D. politeness48.A. considered B. treated C. taught D. charged49.A. transforming B. adapting C. binging D. adding50.A. admission B. access C. attachment D. reaction51.A. embarrassed B. confused C. surprised D. excited52.A. demanding B. imaginary C. popular D. familiar53.A. difficult B. important C. pleasant D. meaningful54.A. respect B. guidance C. help D. invitation55.A. even B. clearly C. exactly D. actually阅读理解(湖北省十堰市2020年高三上学期元月调研考试)AStudent Scholarships5 Strong ScholarshipApplication Deadline: August 20thScholarship Description: The 5 Strong Scholarship Foundation is a team of experienced educators that have over 30 years of experience in helping minority nationality students get into college. We have teamed up to form a foundation that's going to be devoted to building groups of 5 college ready scholars and placing them on the campuses of Historically Black Colleges and Universities.Contact: Andrew H. Ragland; 770-873-6621$ 1,000 College JumpStart ScholarshipApplication Deadline: October 8thScholarship Description: The $ 1,000 College JumpStart Scholarship is a virtue-based competition that is open to 7th—12th graders and college students and non — traditional students. Applicants must be juniorsor seniors or adult students.Contact: Adrian Monk; 650-319-8441ACF Andrew Piech Memorial ScholarshipApplication Deadline: July 9thScholarship Description: One or more scholarships are awarded each year to New Mexico graduating high school seniors and continuing college students. Students must go after a degree or certificate from a non-profit public or technical professional institution including community college.Contact: Daniel White; 505-883-6240“Species On The Edge 2. 0” Social ScholarshipApplication Deadline: September 19thScholarship Description:Conserve Wildlife Foundation invites high school student from across the state to submit an original social media campaign showing why wildlife is important to protect. The fun and educational contest provides students with the opportunity to show their talent, creativity and love for nature. The students may get scholarships if they perform well.Contact: Stephanie Dalessio; 609-984-602121. What's the $ 1,000 College JumpStart Scholarship mainly based on?A. Certificate.B. Virtue.C. Protecting wildlife.D. Helping black students.22.Who can minority nationality students call for help if they want to get a scholarship?A. Stephanie Dalessio.B. Adrian Monk.C. Daniel White.D. Andrew H. Ragland.23. Which of the following is intended for New Mexican students?A. 5 Strong Scholarship.B. $ 1,000 College JumpStart Scholarship.C. ACF Andrew Piech Memorial Scholarship.D. “Species On The Edge 2. 0" Social Scholarship.BA bunch of strangers showed up at the gym in the early morning of the last Sunday of April. A few athletes were already stretching their arms, but most of us could barely focus. As I was burning off last night's wrong decision—a big meal, I spotted a poster about a gym's 21-day workout challenge, and I immediately signed up. I always wanted to train for a marathon, so I considered this as my warm-up. Besides, I needed to stop being lazy and this was my chance to make a change.It was easy to promise on paper, but three weeks of recommended exercise routines and diet restrictions wouldn't be easy. I stuck to working out 30 minutes a day, and I didn't disturb my normal routine. Instead, I had to be faced with the tough work of being more creative in my spare time, thus breaking some bad habits.Overcoming weaknesses with willpower was my goal for the next part of the journey. But the difficult part about making a challenge is realizing that “wanting" and “doing" are two very different things. Just like a career, you have to physically work for it rather than just wait for it to happen. But that's hard. Throughout the 21 days, I often told myself that the challenge was meaningless and tried to sabotage myself from exercising. However, finally I overcame that negative thought and kept working out.At the end of the challenge, I learned something even more important: Feeling the results is better than seeing them. I had fewer headaches and more energy, and was simply happier. I even felt a little smarter as I researched which foods were better for my body, and learned how to make healthier meals. I felt a sense of accomplishment, too, because even though I wanted to give up dozens of times, I didn't. I felt my waist got smaller and my arms got stronger, and I no longer felt guilty after having a piece of cake or a drink.24. What was the author's wrong decision?A. Going to the gym early.B. Training for a marathon.C. Eating a lot the previous night.D. Stopping being lazy for a change.25. What is paragraph 2 mainly about?A. Some of the author's bad habits.B. Some ways of the author's killing his spare time.C. The importance of sticking to the normal daily routine.D. The difficulty of the author's keeping on with the workout plan.26. What does the underlined word “sabotage" in paragraph 3 probably mean?A. Prevent.B. Hear.C. Improve.D. Distinguish.27. What did the author learn from the workout challenge?A. Eating healthy food is more important than exercising.B. Overcoming a challenge could bring good feelings to him.C. It's more important to see what he likes than just feel it.D. There was no need to feel guilty about things he disliked to do.CA new study shows that air pollution can cause a huge reduction in our intelligence. The study was a project involving researchers at Peking University in China and Yale University in the United States.The researchers reported that long-term exposure to air pollution can affect a person's mental abilities in two areas: Language and math.The researchers studied about 25,000 people from across China. Between 2010 and 2014, these Chinese men, women and children were given language and math tests. Then researchers compared the test results with measurements of pollution in the air, namely nitrogen dioxide and sulfur dioxide (二氧化硫).Xi Chen of the Yale School of Public Health led the study. He and his team found that breathing pollutedair can reduce a person's education level by about one year.Chen said that the effect generally is worse for those over 64 years of age, for men and for those with little or no education.“The older persons—they are more affected. And we find, quite amazingly, males are more affected than females. And people working outdoors are more affected than people working indoors.He noted that the youngest people in the study were 10 years old, while the oldest was 90 years old. They came from China's 33 provinces. In his words, the data and facts are convincing and this range of ages and locations across the country provided a real, objective and representative sample.The researchers noted that the effect of air pollution on verbal ability is even more serious as people age, especially among men and the less educated. The researchers also stressed that every country, whether developed, developing or poor, should focus on air pollution orhumans will face a bad situation.28. What is the result of the study?A. Air pollution has a bad effect on people's intelligence.B. Females are more affected by air pollution than males.C. Americans are more affected by air pollution than Chinese.D. People working indoors are actually not affected by air pollution.29. What did Chen say about the study?A. It is doubtful.B. It is extremely unfair.C. It is common and not representative.D. It is relatively objective and persuasive.30. What did the researchers emphasize in the last paragraph?A. The data from the 33 provinces is convincing.B. The whole world should pay attention to air pollution.C. The less educated take more responsibility for air pollution.D. Air pollution's influence on verbal ability is less serious as people age.31. Where is the text most likely taken from?A. A life diary.B. A guidebook.C. A science magazine.D. A biography.DStories are shared in many ways. They are described in books and magazines. They are read around the campfire at night. They are randomly distributed from stand-alone booths. But what else?To revive (复兴)literature in the era of fast news and smartphone addiction, Short Edition, a French publisher of short-form literature, has set up more than 30 story dispensers (分发机)in the USA in the past years to deliver fiction at the push of a button at restaurants, universities and government offices.Francis Ford Coppola, the film director and winemaker, liked the idea so much that he invested in the company and placed a dispenser at his Cafe Zoetrope in San Francisco. Last month public libraries in some other cities announced they would be setting them up, too. There is one on the campus at Penn State. A few can be found in downtown West Palm Beach, Fla. And Short Edition plans to announce more, including at the Los Angeles International Airport.“Everything old is n ew again," said Andrew Nurkin, the director of the Free Library of Philadelphia, which is one of the libraries that set up the dispensers. “We want people to be easily exposed to literature. We want to advance literacy among children and inspire theircreativity.Here's how a dispenser works: It has three buttons on top indicating choices for stories that can be read in one minute, three minutes or five minutes. When a button is pushed, a short story is printed. The stories are free. They are chosen from a computer category of more than 100,000 original submissions by writers whoseworks have been evaluated by Short Edition's judges, and transmitted over a mobile network. Offerings can be tailored to specific interests, like children's fiction or romance. Short Edition gets stories for its category by holding writing contests.Short Edition set up its first booth in 2016 and has 150 machines worldwide. “The idea is to make people happy," said Kristan Leroy, director of Short Edition, “There is too much unhappiness today. ”32. What do we know about the stories sent by dispensers?A. They are expensive.B. They are short in form.C. They can be read on smartphones.D. They are mainly taken from magazine literature.33. Where can you find the popularity of story dispensers in America?A. In paragraph 3.B. In paragraph 4.C. In paragraph 5.D. In paragraph 6.34. Which is the main purpose of setting up the dispensers according to Andrew Nurkin?A. To get rid of people's smartphone addiction.B. To reduce the financial stress of libraries.C. To make people have access to literature.D. To advertise the network literature.35. What is the best title for the text?A. Online Reading: a Virtual TourB. Short Edition, a French PublisherC. Everything Old Will Be Popular AgainD. Taste of Literature, at the Push of a Button七选五(福建省厦门外国语学校2020届高三12月月考)It is sometimes thought that the longing for material goods, the need to buy things, is a relatively modern invention. 36 Trade or shopping is certainly an ancient desire, and existed before our ancestors invented writing, laws, cities or farming, even before they used metal to make tools.Humans are born to trade. 37 Evidence from hunter-gatherers suggests that the exchange of food and other necessary things comes naturally, as well as the ability to keep a record of the credits involved. And once trade begins, the benefits are hard to resist.Ancient local coastal people in northern Australia traded fish hooks, along a chain of trading partners, with people living 400 miles inland, who cut and polished local stone to make axes(斧子). 38 Finally, both groups of "producers", by concentrating on things they could produce and exchanging them for other things they needed, benefited as a result.Trade in the necessities of life, such as food and simple tools, is not really surprising, considering the link between these basic items and survival. What is surprising, though, is that our taste for unnecessary expensive objects also goes back a long way.In South Africa, 100,000-year-old decorative dyes(染料)have been found in an area where none were produced. 39 Small round pieces of glass 76,000 years old were also found at the same place. The earliest jewellery known to us was not just random findings—they were grouped together in size and had holes like those used for threading onto a necklace.Archaeologists argue that trade prepared the way for the complex societies in which we live today. 40 However, their modern equivalents—fast cars and expensive clothes—hold the same attraction for us as "trade goods" did for people 100,000 years ago.A.And we don't need shops or money to do it.B.These are powerful proofs for cash purchase.C.In fact, its roots go back to the beginning of humanity.D.However, the first trade began from the exchange of objects.E.Modern-day shoppers may not be impressed by ancient glass pieces.F.It is thought that these goods were bought at least 30 kilometres away. G.Every individual along the chain made a profit, even if he produced neither himself.参考答案完形填空36-40 BABDA 41-45ADACD 46-50DBBCB 51-55DCBCD阅读理解21 -23 BDC 24 -27 CDAB 28 -31 ADBC 32-35 BACD七选五36-40 CAGFE。

2020普通高等学校招生全国统一考试(新高考模拟卷)

2020普通高等学校招生全国统一考试(新高考模拟卷)

英语试题 第1页(共10页) 英语试题 第2页(共10页)绝密★启用前|全国一线试题命制中心2020年普通高等学校招生全国统一模拟【新课标4卷】英 语(考试时间:120分钟 试卷满分:150分)注意事项:1. 答卷前,考生务必将自己的姓名、准考证号填写在答题卡上。

2. 回答选择题时,选出每小题答案后,用铅笔把答题卡上对应题目的答案标号涂黑。

如需改动,用橡皮擦干净后,再选涂其他答案标号。

回答非选择题时,将答案写在答题卡上,写在本试卷上无效。

3. 考试结束后,将本试卷和答题卡一并交回。

第一部分 听力(共两节,满分30分)做题时,请先将答案标在试卷上。

录音内容结束后,你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节 (共5小题;每小题1.5分,满分7.5分)听下面5段对话。

每段对话后有一个小题,从题中所给的A 、B 、C 三个选项中选出最佳选项。

听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

例:How much is the shirt? A. £ 19.15. B. £ 9.18. C. £ 9.15.答案是 C 。

1.Why does the man want to leave? A .The service is too slow. B .The food is bad. C .The music is too loud. 2.What does the woman do? A .A teacher. B .A nurse. C .A shop assistant.3.What has the man decided to do? A .Continue his talk with Mr Black. B .Go to see an engineer. C .Check the schedule.4.Where does the conversation most probably take place?A .On a bus.B .In a library.C .In a shop.5.How did the man feel about his jump in the end? A .Terrified. B .Disappointed. C .Excited.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。

备考2020年高考新课标选填题常规训练套题理科(8套)

备考2020年高考新课标选填题常规训练套题理科(8套)

否是否是输出c 输出b输出ab ≥c?a ≥c?开始输入a,b,ca ≥b ?否是结束备考2020年高考新课标选填题常规训练套题理科(8套)高考选、填题训练(一)一、选择题:1.集合{4},{3}A x x B x x =|2≤<=|≥,则AB =A .[2,4)B .[3,)+∞C .[3,4)D .[2,3) 2.复数52i -的共扼复数是 A .2i + B .2i -+ C .2i - D .2i -- 3.“a b >”是“11a b<”成立的 A .充分不必要条件 B .必要不充分条件 C . 充要条件 D . 既不充分又不必要的条件 4.编号为1,2,3,4,5,6的六个同学排成一排,3、4号两位同学相邻,不同的排法 A .60种 B .120种 C .240种 D .480种 5.已知菱形ABCD 的对角线AC 长为4,则AD AC ⋅= A .2 B .4 C .6 D .86.设a ,b 为两条不同的直线,,αβ为两个不同的平面,则下列说法正确的是 A .若a ∥α,α⊥β,则a ∥β B . 若a ∥b ,a ∥β,则b ⊥αC .若a ∥α,b ∥α,则a ∥b D . 若a ⊥b ,a ∥α,则b ⊥α7.函数2()lg(1)cos f x x x =+-的零点个数为 A .1 B .2 C .3 D .48.某算法程序框图如图所示,若1323,3,log 32a b c ===,则输出的结果是 A .3a b c ++ B .a C .b D .c9.若抛物线22y px =的焦点与双曲线22122x y -=的右焦点重合,则p 的值为 A .2- B .2 C .4D .4-10.函数ln ||y x x =的图象大致是 ( )ABCD俯视图二、填空题: 11.二项式6(x 的展开式中的常数项是 12. 如图所示,一个空间几何体的正视图和侧视图都是边长为1的正方形,俯视图是一个直径为1的圆,那么这个几何体的表面积为 13.已知a ,b 是正数,且3ab a b =++,则ab 的最小值为14.过双曲线2212y x -=的右焦点作直线l 交双曲线于A 、B 两点,若满足AB λ||=的直线l 共有3条,则实数λ=15、已知函数⎩⎨⎧≥+-<=)0(4)3(),0()(x a x a x a x f x 满足对任意0)()(,212121<--≠x x x f x f x x 都有成立,则a 的取值范围是16、 如图,在ΔABC 中,0AH BC ⋅=,且AH=1,G 为ABC ∆的重心,则GH AH ⋅==高考选、填题训练(二)一、选择题:1.已知集合A ={x |(1)(5)0x x --<},B ={x |04x <≤},则集合A B =(A ){x | 0<x <4}(B ){x | 0<x <5} (C ){x | 1<x ≤ 4}(D ){x | 4≤x <5}2.()102x -的展开式中第5项的二项式系数是( )A 510CB 41610C C 43210C -D 410C3.下列说法正确的是(A )“(0)0f =”是“函数()f x 是奇函数”的充要条件(B )若0:p x ∃∈R ,2010x x -->,则:p ⌝x ∀∈R ,210x x --< (C )若p q ∧为假命题,则p ,q 均为假命题 (D )“若6πα=,则1sin 2α=”的否命题是“若6πα≠,则1sin 2α≠” 4.在一次对人体脂肪含量和年龄关系的研究中,研究人员获得了一组样本数据,并制作成如图所示的人体脂肪含量与年龄关系的散点图.根据该图,下列结论中正确的是(A )人体脂肪含量与年龄正相关,且脂肪含量的中位数等于20% (B )人体脂肪含量与年龄正相关,且脂肪含量的中位数小于20% (C )人体脂肪含量与年龄负相关,且脂肪含量的中位数等于20%(D )人体脂肪含量与年龄负相关,且脂肪含量的中位数小于20%5.如图,已知A ,B 两点分别在河的两岸,某测量者在点A 所在的河岸边另选定一点C ,测得50AC =m ,45ACB ∠=,105CAB ∠=,则A 、B 两点的距离为(A)m (B) (C) (D)6.已知不等式组,,y x y x x a ≤⎧⎪≥-⎨⎪≤⎩(其中0a >)表示的平面区域的面积为4,点(,)P x y 在该平面区域内,则2z x y=+的最大值为 (A )9(B )6 (C )4(D )37.已知函数2()24f x x x =-+在区间[0,]m (0m >)上的最大值为4,最小值为3,则实数m 的取值范围是 (A )[1,2](B )(0,1] (C )(0,2](D )[1,)+∞8.已知实数[1,10]x ∈,执行如右图所示的程序框图,则输出x 的值不小于55的概率为(A )19 (B )29 (C )49 (D )599. 已知1sin 23α=,则2cos ()4πα-=( ) A .13- B .23- C .13 D .2310.直线l :30x y +-=分别与函数3xy =和3log y x =的交点为11(,)A x y 、22(,)B x y ,则122()y y +=A .4B .6C .8D .不确定 二、填空题:11.已知tan 3α=,则3cos sin 2cos sin()ααααπ+=++______.12.在Rt △ABC 中,2C π=,6B π=,1CA =,则|2|AC AB -=_____.13.顶点在原点,对称轴是y 轴,并且经过点(4,2)P --的抛物线方程是__________.14.右图中的网格是边长为1的小正方形,在其上用粗线画出了某多面体的三视图,则该多面体的体积为__________.15.已知双曲线22221(0,0)x y a b a b -=>>的渐近线与圆22420x y x +-+=相切,则该双曲线的离心率是__________.附加:.已知8()x a +的展开式中5x 的系数是7-,则实数a =________.高考选、填题训练(三)一、选择题(本大题共10小题,每小题5分,共50分.)1.设复数i i z (1--=是虚数单位),z 的共轭复数为-z ,则=⋅--z z )1(( )A .10B .2C .2D .12.已知集合{}{}b a B A a ,,2,1==,若⎭⎬⎫⎩⎨⎧=21B A ,则B A 为()A 、⎭⎬⎫⎩⎨⎧b ,1,21B 、⎭⎬⎫⎩⎨⎧-21,1 C 、⎭⎬⎫⎩⎨⎧1,21 D 、⎭⎬⎫⎩⎨⎧-1,21,13.已知直线a 和平面βα,,βαβα⊄⊄=a a l ,, ,且a 在βα,内的射影分别为直线c b ,,则直线c b ,的位置关系为( )A .相交或平行B .相交或异面C .平行或异面D .相交、平行或异面4.对任意非零实数b a ,,若b a ⊗的运算规则如下图的程序框图所示,则4)23(⊗⊗的值是( ) A .0 B .21 C .23D .9 5. }{n a 为各项都是正数的等比数列,n S 为前n 项和,且70,103010==S S ,那么=40S ( ) A .150 B .200- C .150或200- D .400或50- 6、已知函数1cos 22sin )(2-+=x x x f ,将)(x f 的图像上各点的横坐标缩短为原来的21倍,纵坐标不变,再将所得图像向右平移4π个单位,得到函数)(x g y =的图像。

2020年普通高等学校全国统一招生考试(江苏卷)预测卷数学试题及答案

2020年普通高等学校全国统一招生考试(江苏卷)预测卷数学试题及答案

绝密★启用前2020年普通高等学校全国统一招生考试(江苏卷)预测卷数学I注意事项:1、答题前填写好自己的姓名、班级、考号等信息 2、请将答案正确填写在答题卡上一、填空题:本大题共14小题,每小题5分,共70分.请把答案直接填写在答题卡相应位置上.1.已知集合A={x|x<0},B={-2,-1,0,2},则A ∩B=___2.已知复数z 满足112z i i=++(i 是虚数单位),则复数z 的共轭复数为___ 3.某地区有小学生、初中生、高中生的人数见下表.采用分层抽样的方法调查学生的眼睛视力状况,在抽取的样本中初中生有320人,则该样本中的高中生人数为_____类别小学生 初中生 高中生 合计 人数 18000 16000 9000 430004.5.函数2()ln )(9f x x =-的定义域为____6.有3名学生甲、乙、丙,在分发数学作业时,从他们3人作业中各随机取出1份作业,则这3名学生恰好都拿到自己作业的概率为_____7.已知等比数列{}n a 满足11,2a =且2434(1),a a a =-则5a =____ 8.已知f(x)是定义在R 上的奇函数,当x>0时,2()log 3f x x =-,则f(f(-16))的值为_____9.某品牌汽车4S 店一年销售汽车4000辆,每次从汽车公司购置x 辆,运费为4万元/次,一年的总储存费用为0.4x 万元.要使一年的总运费与总储存费用之和最小的,则x 的值为_____.10.在平面直角坐标系xOy 中,已知抛物线220y px p =>的准线1与双曲线2221x y a a-=>0的两条渐近线围成等边三角形,且面积为3,则p+a=_____. 11.如图,在正四棱柱形容器内盛有水和相同高度的实心圆柱(其中圆柱底面内切于正四棱柱底面,水面恰与正四棱柱上底面齐平),将实心圆柱拿去后,则水面高度与正四棱高度比为____.(不计水的损耗)12.如图,△ABC 中,M 为AB 中点,AB=5,CM=3,EF 为圆心为C,半径为1的圆的动直径,则BE AF ⋅的取值范围是_____13.在平面直角坐标系xOy 中,圆221:4O x y +=与圆2222:(4)(0)O x y r r -+=>,在圆2O 上存在点Q,过点Q 作圆1O 的切线,切点为P,N,使得5,9QP QN ⋅=则实数r 的最小值为___. 14.已知函数3,1,(),1,x a x f x x ax x -≥⎧=⎨-<⎩若函数y=f[f(x)]恰有5个不同零点,则实数a 的取值范围是____. 二、解答题:本大题共6小题,共计90分.请在答题卡指定区域内作答.解答时应写出文字说明、证明过程或演算步骤.15.(本小题满分14分)在平面直角坐标系xOy 中,以x 轴正半轴为始边作两个钝角α,β,它们的终边分别与单位圆交于A,B 两点.已知A,B 的横坐标分别为3102,.1010-- 求:(1)cos(α-β)的值;(2)2α-β的值.16.(本小题满分14分)如图,三棱锥P-ABC 中,已知PA ⊥底面ABC,AC ⊥BC,且PA=AC,点E,F 分别是棱PC,PB 的中点.(1)求证:AE ⊥BC;(2)点G 为棱AB 上一点,满足2,GB GA =求证:AE//平面CFG.17.(本小题满分14分)如图,在平面直角坐标系xOy 中,椭圆22221(0),x y a b a b +=>>圆C:222().4b x y b +-=A,B 分别为椭圆的左、右顶点,直线AC 交圆C 于D,P 两点(D 在线段AC 上),且2.AD DC =(1)求椭圆的离心率;(2)直线BP 与椭圆相交于点Q,直线AQ 被圆C 截得弦长为6,3求椭圆的标准方程. 18.(本小题满分16分)如图为某野生动物园一角,∠MOK 内区域为陆地动物活动区,∠NOK 内区域为水上动物活动区.为满足游客游览需要,现欲在OM,ON 上分别选一处A,B,修建一条贯穿两区域的直路AB,AB 与KO 相交于点P.若PA 段,PB 段每百米修路费用分别为1万元和2万元,已知∠NOK=30°,OM⊥OK,OP=2百米,设∠PAO=α.(1)试将修路费用表示为α的函数()S α(2)求修路费用()S α的最小值.19.(本小题满分16分)设等差数列{}n a 的前n 项和为,n S 且7146,54.a a S == (1)求数列{}n a 的通项公式;(2)是否存在正整数m,k,使得31,1,1m m k a a a +---依次成等比数列?并说明理由; (3)设数列{}n b 满足2*1()(),5n n a b n -=∈N 将{}n a 和{}n b 中相同的项按照从小到大的顺序依次排列,得到数列{},n c 求数列{}n c 的通项公式.20.(本小题满分16分)已知函数y=f(x)的定义域为D,若满足∀x ∈D,(x-1)f(x)≥0,则称函数f(x)为“L 型函数”.(1)判断函数xy e =和y=lnx 是否为“L 型函数”,并说明理由;(2)设函数f(x)=(x+1)lnx-(x-1)lna(a>0),记()().g x f x '=①若函数g(x)的最小值为1,求a 的值;②若函数f(x)为“L 型函数”,求a 的取值范围.21.[选做题]本题包括A 、B 、C 三小题,请选定其中两题,并在相应的答题区域内作答.若多做,则按作答的前两题评分.解答时应写出文字说明、证明过程或演算步骤.A.选修4-2:矩阵与变换(本小题满分10分) 已知矩阵记1040,10102A B ⎢⎥⎡⎤⎢⎥==⎢⎥⎢⎥⎣⎦⎣⎦记M=AB,求1.M B.选修4-4:坐标系与参数方程(本小题满分10分)在平面直角坐标系xOy 中,已知直线1,12x l y l=-+⎧⎨=-+⎩(l 为参数)与曲线cos ,cos 2x y θθ=⎧⎨=-⎩(θ为参数)的交点为A,B,求线段AB 的长.C.选修4-5:不等式选讲(本小题满分10分)已知x,y,z 均是正实数,且2229436.x y z ++=,求证:x+y+z ≤7.[必做题]第22、23题,每小题10分,共计20分.请在答题卡指定区域内作答,解答时应写出文字说明、证明过程或演算步骤.22.(本小题满分10分)如图1,某电视台一档综艺节目的游戏挑战项目“蜂巢迷宫”的道具,游戏规定挑战者必须“蒙眼”进行现简化模型如图2所示,共有A,B,C,D,E,F 六个房间组成,每个房间各有六扇门分别与相邻房间或与外部相通,假设打开每扇门都是等可能的.现挑战者从房间A 出发,要求到达房间E.(1)求挑战者“打开两扇门完成挑战”的概率;(2)一次游戏中规定“只要走出道具外部或打开超过四扇门(含四扇)挑战失败”,得0分;“打开三扇门完成挑战”,得1分,“打开两扇门完成挑战”,得2分.挑战者共挑战1次,得分设为X,求随机变量X 的概率分布和数学期望E(X).23.(本小题满分10分)(1)用数学归纳法证明二项式定理:011()n n n n n a b C a C a b -+=++222*,.n r n r r n n n n n C a b C a b C b n --++++∈N(2)利用二项式定理求证:220()n k n n n k CC ==∑。

2020年普通高等学校招生全国统一考试新高考数学押题密卷

2020年普通高等学校招生全国统一考试新高考数学押题密卷

__________ 姓名:__________ 班级:__________评卷人 得分一、选择题1.γβα,,为三个不重合的平面,c b a ,,为三条不同的直线,则下列命题中不正确的( )①b a c b c a //////⇒⎭⎬⎫;②b a b a //////⇒⎭⎬⎫γγ;③βαβα//////⇒⎭⎬⎫c c ;④βαγβγα//////⇒⎭⎬⎫ ⑤a c a c //////αα⇒⎭⎬⎫;⑥αγγα//////a a ⇒⎭⎬⎫ A.④⑥ B.②③⑥ C.②③⑤⑥ D.②③2.执行如图的程序框图,如果输出的S=3,则输入的t=( )A. 1-B. 3-C. 1或3D. 1或3-3.如图,己知函数()f x 的图像关于坐标原点O 对称,则函数()f x 的解析式可能是( )A. ()3ln f x x x =B. ()ln f x x x =C. ()xef x x=D.()ln xf x x=4.在平面直角坐标系中,角α的终边与单位圆交于点34(,)55P -,则sin()4πα+=( )A.22221:4AA A AC C C Cv a r v v a v r ===B. -10C.10D. -105.在平行四边形ABCD 中,E,F 分别为边BC,CD 的中点,若AB x AE y AF =+(,),x y R ∈则 x y += ( ) A. 2B. 1C.32D.236.已知O 为四边形ABCD 所在的平面内的一点,且向量OA ,OB ,OC ,OD 满足等式OA OC OB OD +=+,若点E 为AC 的中点,则EABBCDS S ∆∆=( ) A.14B.12 C.13D.237.已知实数x ,y 满足2210y x y x y ≤⎧⎪+≥⎨⎪-+≤⎩,则3x +2y 的最大值为A.7B.5C.4D.928.解三角方程时尤其要注意角度的取值范围.9.定义在R 上的函数f (x )满足f (x +y )=f (x )+f (y )+2xy (x ,y ∈R),f (1)=2,则 f (-3)等于 ( ) A .2 B .3 C .6D .9二、填空题10.已知点A 是抛物线214y x =的对称轴与准线的交点,点F 为该抛物线的焦点,点P 在抛物线上且满足PF m PA =,则m 的最小值为 .评卷人 得分三、解答题11.(1)解关于x 不等式2111x x-≤- (2)若函数2()6(8)f x kx kx k =-++的定义域为R ,求实数k 的取值范围。

最新2020年高考【文科数学】填空题专练20套Word版含答案及解析

最新2020年高考【文科数学】填空题专练20套Word版含答案及解析

最新2020年高考【文科数学】填空题专练20套最新2020年高考【文科数学】填空题专练(01)二、填空题:本题共4小题,每小题5分,共20分.13.已知向量与互相垂直,则=_______.【答案】1【解析】【分析】向量与互相垂直,可得,即可得出结果.【详解】∵向量与互相垂直,∴,解得,故答案为1.【点睛】本题主要考查了向量垂直与数量积的关系,考查了推理能力与计算能力,属于基础题.14.已知实数满足约束条件,则的最大值为________.【答案】3【解析】【分析】作出不等式组对应的平面区域,设,利用数形结合求得最优解,计算最大值.【详解】作出不等式组所表示的区域如图:,为目标函数,可看成是直线的纵截距,画直线,平移直线过点时有最大值3,由得,即点坐标为故的最大值为,故答案为3.【点睛】本题主要考查线性规划中利用可行域求目标函数的最值,属简单题.求目标函数最值的一般步骤是“一画、二移、三求”:(1)作出可行域(一定要注意是实线还是虚线);(2)找到目标函数对应的最优解对应点(在可行域内平移变形后的目标函数,最先通过或最后通过的顶点就是最优解);(3)将最优解坐标代入目标函数求出最值.15.已知函数,则函数在的值域为______.【答案】【解析】【分析】利用三角恒等变换化简函数的解析式,再利用余弦函数的定义域和值域,求得函数在的值域.【详解】∵函数,在上,,,,故答案为.【点睛】本题主要考查三角恒等变换,余弦函数的定义域和值域,解题的关键在于将函数式化为三角函数的基本形式,属于中档题.16.双曲线C:的左、右焦点为F1,F2,直线与C的右支相交于点P,若,则双曲线C的离心率为______.【答案】【解析】联立直线与双曲线方程求出的坐标,利用双曲线的定义,转化求解双曲线的离心率即可.【详解】把代入的方程可得,∴,,,由双曲线的定义可知:,,∴,整理可得,∴,所以双曲线的离心率为.故答案为.【点睛】本题主要考查了双曲线的简单性质的应用,常见的离心率的求法有:1、直接求出,求解;2、变用公式(双曲线),(椭圆);3、构造关于的齐次式解出等,属于中档题.最新2020年高考【文科数学】填空题专练(02)二、填空题:本题共4小题,每小题5分,共20分.13.已知点,线段的中点,若向量与向量垂直,则_____.【答案】【解析】【分析】根据条件可求出,根据即可得出,进行数量积的坐标运算即可求出.【详解】;∵;∴;∴.故答案为:.【点睛】向量的数量积有两个应用:(1)计算长度或模长,通过用;(2)计算角,.特别地,两个非零向量垂直的充要条件是.14.如图,在边长为2的正方形中,以的中点为圆心,以为半径作圆弧,交边于点,从正方形中任取一点,则该点落在扇形中的概率为_____.【答案】【解析】【分析】由已知求出扇形面积与正方形面积,再由测度比是面积比得所求概率.【详解】如图,正方形面积,因,故,所以,同理,所以,又,∴.∴从正方形中任取一点,则该点落在扇形中的概率为.故答案为:.【点睛】本题考查几何概型,求出扇形面积是关键,是基础题.15.在中,,,,则_________.【答案】【解析】【分析】根据题意,由正弦定理可得,即,变形可得,又由,结合二倍角公式可得,变形可得:,,进而求出和的值,又由,由和角公式计算可得答案.【详解】根据题意,中,,则,即,变形可得,又由,即,则有,变形可得:,则,则,,则,故答案为:.【点睛】三角形中共有七个几何量(三边三角以及外接圆的半径),一般地,知道其中的三个量(除三个角外),可以求得其余的四个量.(1)如果知道三边或两边及其夹角,用余弦定理;(2)如果知道两边即一边所对的角,用正弦定理(也可以用余弦定理求第三条边);(3)如果知道两角及一边,用正弦定理.16.已知函数.若存在,使得,则实数的取值范围是_________.【答案】【解析】【分析】求原函数的导函数,代入,得到存在,使得,分离参数,再由函数单调性求最值得答案.【详解】∵,∴,∴,∵存在,使得即,∴在上有解,设,∴,在上为增函数,∴.∴.实数的取值范围是.【点睛】含参数的不等式的有解问题,优先考虑参变分离的方法,把问题归结为不含参数的函数的值域问题.在转化过程中注意等价变形.最新2020年高考【文科数学】填空题专练(03)二、填空题:本大题共4小题,每小题5分,共20分.13.函数则__________.【答案】1.【解析】【分析】根据分段函数的解析式逐步代入求解可得结果.【详解】由题意得.故答案为:1.【点睛】本题考查分段函数的求值,解题时根据函数中不同的范围对应的解析式求解,属于简单题.14.已知,是第二象限的角,则__________.【答案】.【解析】【分析】由求得,再根据平方关系得到,于可得所求.【详解】∵,又是第二象限的角,,∴,∴,∴.【点睛】解题中在运用平方关系求值时要注意所求值的符号,本题考查同角三角函数关系式,属于简单题.15.已知的面积为,且,则__________.【答案】.【解析】由的面积为可得,再由可得,然后根据以上两式得到,由此可得.【详解】∵的面积为,∴①.∵,∴②.由①②两式得,又,∴.故答案为:.16.在《九章算术》中有称为“羡除”的五面体体积的求法.现有一个类似于“羡除”的有三条棱互相平行的五面体,其三视图如图所示,则该五面体的体积为__________.【答案】24.【解析】【分析】由三视图得到五面体的直观图,然后根据几何体的结构特征,利用分割的方法求得其体积.【详解】由三视图可得,该几何体为如下图所示的五面体,其中,底面为直角三角形,且,侧棱与底面垂直,且.过点作,交分别于,则棱柱为直棱柱,四棱锥的底面为矩形,高为.所以.故答案为:.【点睛】本题考查三视图还原几何体和不规则几何体体积的求法,考查空间想象能力和计算能力,解题的关键是由三视图得到几何体的直观图,属于基础题.最新2020年高考【文科数学】填空题专练(04)二、填空题:本大题共4小题,每小题5分,共20分.13.某校高三科创班共48人,班主任为了解学生高考前的心理状况,将学生按1至48的学号用系统抽样方法抽取8人进行调查,若抽到的最大学号为48,则抽到的最小学号为______.【答案】6【解析】【分析】抽到的最大学号为48,由系统抽样等基础知识即可得最小学号.【详解】由系统抽样方法从学号为1到48的48名学生中抽取8名学生进行调查,把48人分成8组,抽到的最大学号为48,它是第8组的最后一名,则抽到的最小学号为第一组的最后一名6号.故答案为:6.【点睛】本题考查了系统抽样等基础知识,考查运算求解能力,属于基础题.14.平面向量与的夹角为,,,则__________.【答案】【解析】【分析】由平面向量模的计算公式,直接计算即可.【详解】因为平面向量与的夹角为,所以,所以;故答案【点睛】本题主要考查平面向量模的计算,只需先求出向量的数量积,进而即可求出结果,属于基础题型.15.如图所示,正方体的棱长为2,E,F为,AB的中点,M点是正方形内的动点,若平面,则M点的轨迹长度为______.【答案】【解析】取的中点,的中点,连接,,,可得:四边形是平行四边形,可得.同理可得可得面面平行,进而得出点轨迹.【详解】如图所示,取的中点,的中点,连接,,,.可得:四边形是平行四边形,.同理可得:..平面平面,点是正方形内的动点,若平面.点在线段上.点的轨迹长度.故答案为.【点睛】本题考查了面面平行的判定定理与线面平行的判断,属于中档题.证明线面平行的常用方法:①利用线面平行的判定定理,使用这个定理的关键是设法在平面内找到一条与已知直线平行的直线,可利用几何体的特征,合理利用中位线定理、线面平行的性质或者构造平行四边形、寻找比例式证明两直线平行.②利用面面平行的性质,即两平面平行,在其中一平面内的直线平行于另一平面.16.在中,内角所对的边分别为,是的中点,若且,则面积的最大值是___【答案】【解析】【分析】由题意及正弦定理得到,于是可得,;然后在和中分别由余弦定理及可得.在此基础上可得,再由基本不等式得到,于是可得三角形面积的最大值.【详解】如图,设,则,在和中,分别由余弦定理可得,两式相加,整理得,∴.①由及正弦定理得,整理得,②由余弦定理的推论可得,所以.把①代入②整理得,又,当且仅当时等号成立,所以,故得.所以.即面积的最大值是.故答案为.【点睛】本题考查解三角形在平面几何中的应用,解题时注意几何图形性质的合理利用.对于三角形中的最值问题,求解时一般要用到基本不定式,运用时不要忽视等号成立的条件.本题综合性较强,考查运用知识解决问题的能力和计算能力.最新2020年高考【文科数学】填空题专练(05)二、填空题:本大题共4小题,每小题5分,共20分.13.已知向量、满足,,且,则与的夹角为________.【答案】.【解析】【分析】根据即可得到,进行数量积的运算便可求出,从而求出向量的夹角.【详解】解:∵;∴=0;∴;∵与夹角的取值范围为[0,π],∴的夹角为.故答案为:.【点睛】本题考查向量垂直的充要条件,向量数量积的运算及计算公式,以及向量夹角的范围.14.的三个内角,,所对的边分别为,,,为的中点,,,且,则________.【答案】.【解析】【分析】由已知利用正弦定理,三角函数恒等变换的应用可求cos C,可得C=60°,在平行四边形ACBD,可求∠CAD=120°,,由余弦定理可得a,利用三角形面积公式即可得解.【详解】解:2c cos B=2a﹣b⇒2sin C cos B=2sin A﹣sin B⇒2sin C cos B=2sin B cos C+2cos B sin C﹣sin B⇒cos C,所以C=60°.如图补成平行四边形ACBD,则∠CAD=120°,,在△ADC中,由余弦定理得:,所以:,故答案为:【点睛】本题主要考查了正弦定理,三角函数恒等变换的应用,余弦定理,三角形面积公式,平面向量数量积的运算在解三角形中的综合应用,考查了运算求解能力和转化思想,属于中档题.15.已知是抛物线的焦点,是上一点,直线交直线于点.若,则________.【答案】8【解析】如图,记直线与y轴的交点为N,过点P作与M,因为,所以,所以又因为,所以,故. 故答案为:8.点睛:求解解析几何中的问题,包括几何法和代数法,如几何法经常涉及圆锥曲线的定义和比较明显的平面几何的定理和性质,所以做题时要充分考虑这些定义来进行转化,比如椭圆和双曲线定义涉及两条焦半径,所以给出,就联想 ,抛物线有,就联想到准线的距离.16.已知半径分别为1和2的两球紧贴放在水平桌面上,则两球在桌面上的俯视图的公共弦长为________.【答案】.【解析】可求出两球的球心距离为1+2=3,两球的球心的垂直距离为2﹣1=1,水平距离为2,作出两球在桌面上的俯视图,运用解三角形的知识和等积法,即可得到所求值.【详解】解:半径分别为1和2的两球紧贴放在水平桌面上,可得两球的球心距离为1+2=3,两球的球心的垂直距离为2﹣1=1,水平距离为2,两球在桌面上的俯视图如右图:且AO1=1,AO2=2,O1O2=2,cos∠O1AO2,则sin∠O1AO2,△AO1O2的面积为S1×2,可得O1O2上的高为,则两球在桌面上的俯视图的公共弦长为2.故答案为:.【点睛】本题考查球的投影和两圆的位置关系和弦长求法,考查空间想象能力和运算能力,属于中档题.最新2020年高考【文科数学】填空题专练(06)二、填空题:本大题共4小题,每小题5分,共20分.13.若函数()ln f x x a x =-在点(1,1)处的切线方程为21y x =-,则实数a =_________. 【答案】-1 【解析】 【分析】利用导数的几何意义求出曲线在点()1,1处的切线斜率为12a -=,从而可得结果. 【详解】因为函数()ln f x x a x =-的导数为()1af x x'=-, 所以在点()1,1处的切线斜率为()'11f a =-, 又因为在点()1,1处的切线方程为21y x =-, 所以12a -=,解得1a =-,故答案为1-.【点睛】本题主要考查利用导数求切线斜率,属于基础题. 应用导数的几何意义求切点处切线的斜率,主要体现在以下几个方面:(1) 已知切点()()00,A x f x 求斜率k ,即求该点处的导数()0k f x '=;(2) 己知斜率k 求参数或切点()()11,,A x f x 即解方程()1f x k '=;(3) 巳知切线过某点()()11,M x f x (不是切点) 求切点, 设出切点()()00,,A x f x 利用()()()10010f x f x k f x x x -'==-求解.14.执行如图所示的程序框图,输出的S 为_________.【答案】1 【解析】【分析】模拟执行程序框图,只要按照程序框图规定的运算方法逐次计算,直到达到输出条件即可得到输出的S 的值.【详解】执行程序框图,输入0,1==S n , 第一次循环1,2S n ==; 第二次循环1,3S n ==; 第三次循环0,4S n ==; 第四次循环0,5S n ==; 第五次循环1,6S n ==; 第六次循环1,7S n ==; 第七次循环0,8S n ==; 第八次循环0,9S n ==; 第九次循环1,10S n ==; 第十次循环1,11S n ==; 退出循环输出1S =,故答案为1.【点睛】本题主要考查程序框图的循环结构流程图,属于中档题. 解决程序框图问题时一定注意以下几点:(1) 不要混淆处理框和输入框;(2) 注意区分程序框图是条件分支结构还是循环结构;(3) 注意区分当型循环结构和直到型循环结构;(4) 处理循环结构的问题时一定要正确控制循环次数;(5) 要注意各个框的顺序,(6)在给出程序框图求解输出结果的试题中只要按照程序框图规定的运算方法逐次计算,直到达到输出条件即可.15.已知向量a r ,b r,1a =r ,(2,1)b =r ,且0(0)a b λλ+=>r r ,则λ=_________.【解析】 【分析】设a =r (x ,y ).由于向量a r ,b r 满足|a r |=1,b =r (2,1),且0a b λ+=r r r (λ∈R ),可得12010x y λλ=+=⎨⎪+=⎪⎩,解出即可. 【详解】设a =r(x ,y ).∵向量a r ,b r 满足|a r |=1,b =r (2,1),且0a b λ+=r r r (λ∈R ),∴a b λ+=rrλ(x ,y )+(2,1)=(λx +2,λy +1),∴12010x y λλ=+=⎨⎪+=⎪⎩,化为λ2=5.解得λ=【点睛】本题考查了向量的坐标运算、向量的模的计算公式、零向量等基础知识与基本技能方法,属于基础题.16.已知双曲线C :22221(0,0)x y a b a b-=>>的右焦点为F ,左顶点为A ,以F 为圆心,FA为半径的圆交C 的右支于M ,N 两点,且线段AM 的垂直平分线经过点N ,则C 的离心率为_________. 【答案】43【解析】 【分析】先证明AMN ∆是正三角形,在'MFF ∆中,由余弦定理、结合双曲线的定义可得2222||2||cos120(||2)FF FM FF FM F M FM a ''︒'+-==+,化为22340c ac a --=,从而可得结果.【详解】由题意,得()(,0),,0A a F c -,另一个焦点(),0F c '-,由对称性知,AM AN =,又因为线段AM 的垂直平分线经过点N ,, 则AN MN =,可得AMN ∆是正三角形, 如图所示,连接MF ,则AF MF a c ==+, 由图象的对称性可知,1302MAF NAF MAN ︒∠=∠=∠=, 又因为AMF ∆是等腰三角形, 则120AFM ︒∠=, 在'MFF ∆中,由余弦定理:2222||2||cos120(||2)FF FM FF FM F M FM a ''︒'+-==+,上式可化为22214()22()(3)2c a c c a c a c ⎛⎫++-⨯+-=+ ⎪⎝⎭, 整理得:22340c ac a --=,即()()34=0c a c a +-,由于0,0a c >>, 则4340,3c a c a -==, 故43c e a ==,故答案为43.【点睛】本题主要考查利用双曲线的简单性质求双曲线的离心率,属于中档题.求解与双曲线性质有关的问题时要结合图形进行分析,既使不画出图形,思考时也要联想到图形,当涉及顶点、焦点、实轴、虚轴、渐近线等双曲线的基本量时,要理清它们之间的关系,挖掘出它们之间的内在联系.求离心率问题应先将 e 用有关的一些量表示出来,再利用其中的一些关系构造出关于e 的等式,从而求出e 的值.本题是利用点到直线的距离等于圆半径构造出关于e 的等式,最后解出e 的值.最新2020年高考【文科数学】填空题专练(07)二、填空题. 13.已知函数的最小正周期为,则=_____,若,则=____.【答案】 (1). 2 (2).【解析】由题意利用正弦函数的周期性求得ω,再利用同角三角函数的基本关系,二倍角公式,求得sin2α的值.【详解】由周期公式,可得ω=2,由,得,所以,平方得,∴故答案为:2;.【点睛】本题主要考查正弦函数的周期性,同角三角函数的基本关系,二倍角公式的应用,属于基础题.14.已知矩形,以为焦点,且过两点的双曲线的离心率为_______.【答案】【解析】【分析】根据为焦点,得;又求得,从而得到离心率.【详解】为焦点在双曲线上,则又15.我国古代数学名著《九章算术•商功》中阐述:“斜解立方,得两堑堵.斜解堑堵,其一为阳马,一为鳖臑.阳马居二,鳖臑居一,不易之率也.合两鳖臑三而一,验之以棊,其形露矣.”若称为“阳马”的某几何体的三视图如图所示,图中网格纸上小正方形的边长为1,对该几何体有如下描述:①四个侧面都是直角三角形;②最长的侧棱长为;③四个侧面中有三个侧面是全等的直角三角形;④外接球的表面积为24π.其中正确的描述为____.【答案】①②④【解析】由三视图还原几何体,可知该几何体为四棱锥,PA⊥底面ABCD,PA=2,底面ABCD为矩形,AB=2,BC=4,然后逐一分析四个命题得答案.【详解】由三视图还原原几何体如图,可知该几何体为四棱锥,PA⊥底面ABCD,PA=2,底面ABCD为矩形,AB=2,BC=4,则四个侧面是直角三角形,故①正确;最长棱为PC,长度为2,故②正确;由已知可得,PB=2,PC=2,PD=2,则四个侧面均不全等,故③错误;把四棱锥补形为长方体,则其外接球半径为PC=,其表面积为4π×=24π,故④正确.∴其中正确的命题是①②④.故答案为:①②④.【点睛】本题考查由三视图还原原几何体,考查多面体外接球表面积与体积的求法,是中档题.16.已知数列中,,则=_____【答案】【解析】【分析】根据递推公式,可配凑出,从而得到为等差数列,通过求解前项和求得结果.【详解】可知:数列为等差数列,首项为,公差本题正确结果:【点睛】本题考查利用数列递推公式求解数列前项和问题,关键是能够采用倒数法,将递推公式整理为等差数列定义式形式,从而配凑出等差数列,利用等差数列相关知识求解得到结果.最新2020年高考【文科数学】填空题专练(08)二、填空题:本大题4小题,每小题5分,共20分,答案写在答题卡相应横线上。

2020普通高等学校招生全国统一考试(新高考模拟卷)

2020普通高等学校招生全国统一考试(新高考模拟卷)

绝密★启用前|全国一线试题命制中心普通高等学校招生全国统一模拟【新课标4卷】英语(考试时间:120分钟试卷满分:150分)注意事项:1. 答卷前,考生务必将自己的姓名、准考证号填写在答题卡上。

2. 回答选择题时,选出每小题答案后,用铅笔把答题卡上对应题目的答案标号涂黑。

如需改动,用橡皮擦干净后,再选涂其他答案标号。

回答非选择题时,将答案写在答题卡上,写在本试卷上无效。

3. 考试结束后,将本试卷和答题卡一并交回。

第一部分听力(共两节,满分30分)做题时,请先将答案标在试卷上。

录音内容结束后,你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节(共5小题;每小题 1.5分,满分7.5分)听下面5段对话。

每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项。

听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

例:How much is the shirt?A. £ 19.15.B. £9.18.C. £9.15.答案是C。

1.Why does the man want to leave?A.The service is too slow.B.The food is bad.C.The music is too loud.2.What does the woman do?A.A teacher.B.A nurse.C.A shop assistant.3.What has the man decided to do?A.Continue his talk with Mr Black.B.Go to see an engineer.C.Check the schedule.4.Where does the conversation most probably take place?A.On a bus. B.In a library.C.In a shop.5.How did the man feel about his jump in the end?A.Terrified.B.Disappointed.C.Excited.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。

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Passage 2
Dear Sunny,
It's very good that you want to be friends with your
neighbor, the girl who sits next to you. In my opinion,
you' d better first have a heart-to-heart talk
the Wall.
Astonished
and shocked, the foreigners watched the
waste rolling down the hill and cried out, “ Why?Whyhere?
Isn't it a bad habit to damage the environment by
Editor
Tape
How to ask your neighbor to be your friends:
What you should The reason why you
do.
should do so.
1. Have a 1 talk 1. 2 is important for
with her.
In England, waiting in a line is a national passion.
The English will form a line whether they have the
opportunity. Long queues can be seen, for example, at
the two of you.
2. It' s better to ask
2. Good friends should have
her 3 .
4 activities.
3.Learn to 5 .
3. Because it's important
for both of you.
Passage 3 Dear editor, When I first visited the Great Wall last Sunday,
stations when the train is practically
empty and
everybody can have a seat.
根据以上内容,完成下列表格:
In different countries
What they like to do
best
In
France,
a
Frenchwoman get back 1.___________________
you push a button for cigarette, chewing gums, stamps -
even for a life insurance. You can even push a button and
get married and another button to get divorced.
than six years and got the doctor's degree of history.
Meanwhile, he studied Chinese as his second language. He
has good experience in teaching and his health is in good
Students take great interest in the optional courses. Their favorites are computer, spoken English, arts and so on. They say they have learned a lot that is not taught in textbooks and they have got a great deal of practice. However, students are not quite satisfied. They hope more optional courses will be offered white their homework
chocolate cake, and then leave, complaining about their
weights.
For the Americans, the greatest fondness is said
to be the push of buttons. You push a button in the lift,
In Italy, people love talking. They sit about in cafes, exchanging news and discussing politics. They do not hesitate to ask questions about the family, income
A good environment calls for active and participation by
everybody.
根据上文完成下列表格 :
Time:
1 . _________________________
activity
2.__________________________
What. saw
protection.
Passage 4
Dear Mr. Liu.
I
have a friend named Mark Baker. who is now
teaching history in Washington University. He was born
in New York in April,
and private life of anybody who happens to be there.
The Swiss eat as a pastime, ladies walk into a
teashop, eat a couple of ice creams and a large piece of
her
self- confidence
2.____________________ Like talking
In Switzerland
3.____________________
4.____________________ Like pushing buttons
In England
5.____________________
with her,
because understanding each other is very important for
you two. And I also think it' s better for you to ask her
to join you and your classmates in all kinds of activities,
happiness and sadness with her. And I believe she will
understand you in time and it is certain you will be good
friends in future. Good luck to you.
Yours,
根据上文完成下列表格 :
Name: (1) ___ Sex: (2) ____ Nationality
Work: (4) ___
______
_____
(3) _____
______
(5)_ _____:N
Date of birth: April, Health: (6) _
ew York
1968
________
Degree: ___
_(7)___ of
Second
His dream: Coming to
History at language: (9)
China to
(8)
(10)
.
University
Passage 5
This term our school has offered more than 10 optinal courses, from which students can choose. The courses are given from 3:30 to 5:00 every Tuesday afternoon.
It is interesting to know what people of different nations like to do best.
In France, love is the major pastime for ordinary people. When a woman enters a cafe or restaurant, she is freely discussed, not only about her appearance but about her past and future as well. She invites looks in the street whether she is beautiful or plain. There is no better way for a woman to get back her self- confidence than a walk in the streets of Paris or Marseilles.
I saw a foreign couple and a Chinese couple who had just
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