黑龙江省大庆市2019-2020学年高三第一次联考英语试题及答案解析
【期末试卷】2019-2020学年高一上学期期末考试英语试卷（新高考卷）笔试部分附参考答案
【期末试卷】2019-2020学年高一上学期期末考试英语试卷（新高考卷）笔试部分附参考答案按秘密级事项管理★启用前2019-2020 高一上学期期末考试英语试卷(新高考卷)注意事项:1. 答卷前，考生务必将自己的姓名、考生号等填写在答题卡和试卷指定位置上。
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。
第一部分阅读(共两节，满分50分)第一节(共15小题；每小题2.5分，满分37.5 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。
AArtificial intelligence (AI) is practically everywhere today. There are so many products out there which use AI. Some are being developed, some are already in use, and some failed and are being improved, so it’s very difficult to name a few of them and regard them as the best.ViIt is an AI personal trainer which is mainly concerned with fitness and coaching. It, however, requires the use of bio-sensing earphones and other fitness tracking equipment (设备)! It can play your favourite music while you work out and all you have to worry about is the exercise you’re doing.Deep TextDo you ever wonder how an ad appears suddenly just whenyou are looking for something similar? This is because of Deep Text. It uses real-time consumer (消费者) information to produce data which in turn is used to target consumers. Thus, if you search online for flight tickets from Bangalore to Delhi, it is very likely that an ad relating to hotels in Delhi will soon follow.Hello EggIf you live alone and miss your mother because you always miss your breakfast or don’t know what to eat for dinner, the n Hello Egg is exactly what you are looking for. A very healthy choice of the 2-minute noodles and oats, Hello Egg provides you with a detailed weekly meal plan about the needs of your body. It is truly a modern AI-powered home cooking tool for the young.WordsmithYou can put Mr. Smith into your Microsoft Excel using their free API, and let it write up detailed analysis (分析) of the stories behind your numbers. It can produce detailed reports on thousands of pages of spreadsheets in seconds.1.What can we learn about Vi from the text?A. It is an AI music player.B. It is a bio-sensing earphone.C. It doesn’t work without bio-sensing earphones.D. It can make you more energetic while you work out.2. Which can help you improve cooking skill?A.Hello Egg.B.Deep Text.C.Vi.D.Wordsmith.3. What can Wordsmith do for us?A.Produce a detailed report.B.Book a ticket ahead of time.C.Provide us with a detailed meal plan.D.Offer us information on hotels for traveling.BA couple in their 60s has travelled 12,000 miles across 16 countries from Britain to China — riding their bikes the entire way. Grandparents Peter and Chris stepped on the long journey after deciding to “do something a bit different”. They traversed (横穿) cities, deserts, mountains and everything in between across Europe, the Middle East and the East Asia. The married couple of 37 years enjoyed themselves with delicious local food and spent most nights inside a tiny tent put up wherever they could find shelter.Peter, 66, said the moment they finally had a look at the famous Great Wall after a year and a half of cycling 30 miles a day was “really exciting”. At the end of their journey, the special pair didn’t fly home but instead choose to book a cabin (舱) inside a 400m-long container ship. The final part was a three-week voyage from Singapore across the Indian Ocean and into the Mediterranean Sea before arriving at Southampton.“You never know what the day is going to bring. All you know is that you aregoing to get on your bike and cycle. Every day is an adventure and every day is new. Overall, the experience is absolutely unbelievable, ” Peter said.Peter and Chris initially set out to cycle from Britain in January 2017 but were forced home. They had cycled all the way to Hungary when Peter slipped on tiles and broke his leg. After seven months of recovery, the couple set out again in Britain. They finally arrived in China in November 2018.Both Peter and Chris agreed that the best part of the entiretrip was coming across the kindness of strangers along the way, many of whom invited the couple for food and drink. Chris, 64, said, “It was a wonderful experience, particularly wonderful because of the amazing people we met along the way.”4.What’s the couple’s purpose of taking the long journey?A.To try something new.B.To break the world record.C. To go across 16 countries by bike.D. To celebrate their 37-year marriage.5. How did the couple go back to their home after the trip to China?A. By cycling.B. By train.C. By plane.D. By sea.6. Why did the couple put off their trip in 2017?A. Peter had an accident.B. They ran out of their money.C. They met with a heavy snow.D. Peter fell ill suddenly in Hungary.7. What’s the best part of the trip for the couple?A. The beautiful scenes.B. The help from others.C. The delicious food and drink.D. The kindness from other cyclists.CHundreds of thousands of lives were saved in 2017 alone because of the improvement of the environment, according to a new research. Fine particle pollution declined rapidly following the new rules on industrial emissions and the promotion of cleanfuels, according to the study, published on Monday in the National Academy of Sciences of the United States of America. The study, which focused on the period from 2013-2017, was conducted by a group of Chinese researchers and scientists.PM2.5, as this kind of pollution is known, is so small that it can enter the bloodstream, potentially leading to cancer, stroke and heart attack in the long term. After rapid industrialization and weak regulations left the country with a reputation for smog and bad air quality, Chinese authorities started to take air pollution seriously in 2008.In 2013, Beijing had PM2.5 concentrations 40 times higher than levels recommended by the World Health Organization (WHO), and the governmentintroduced its toughest-ever clean air policies that year. The study found “signif icant declines” in PM2.5 levels across China from 2013-2017, with new standards for thermal power plants and industrial boilers, the replacement of old factories, and new emissions rules for vehicles. The authors say this “confirms the effectiveness of Chi na’s recent clean air actions.”These recent actions have seen Beijing fall out of the top 100 most-polluted cities in Asia in recent years, with the pollution levels 10% lower across Chinese cities between 2017 and 2018, according to a report by Greenpeace and AirVisual. Shanghai, the country’s largest city and financial capital, has also made environmental advances, such as adopting strict recycling regulations. Public pressure has been the driving force of pollution policy in China.Air pollution is a global issue, and India is now home to 22 of the 30 most polluted world cities, according to the Greenpeace and AirVisual report. In the US, a recent study said air pollutionwas linked to more than 107,000 deaths in 2011 and cost the country $866 billion.8. What saved many lives in China?A. China’s clean air policies.B. The increased particle pollution.C. The study by researchers.D. The reduction of the clean fuels.9. Why did PM2.5 cause many diseases?A. It was called smog.B. It made the air cleaner.C. It went into the blood.D. It had a bad reputation.10. When did Chinese government decide to treat the pollution?A. In 2008.B. In 2013.C. In 2017.D. In 2018.11. What did people in Shanghai do to protect the environment?A. They built the thermal power plants.B. They stopped using industrial boilers.C. They made Shanghai financial capital.D. They tried to recycle some rubbish.DIn the 1994 film Forrest Gump, there’s a famous saying, “Life is like a box of chocolates; you never know what you’re gonna get.” The surprise is part of the fun. Now blind box toys are bringing the magic of surprise to online shopping.A blind box toy is hidden inside uniform packaging(包装) butinvisible from the outside. You don’t know what will be inside, although the toys typically come from pop culture, ranging from movies to comics and cartoons.Blind boxes have caught on since they were first introduced from Japan to China in 2014. According to a 2019 Tmall report, the mini-series of Labubu blind box. designed by Hong Kong -born Kasing Lung, was named Champion of Unit Sales with 55,000 sold in just 9 seconds during the Singles Day shopping event. Most customers for blind boxes are young people aged 18 to 35.According to The Paper, blind box toys are popular in part because of their cute appearances. The typically cute cartoon figurines (小塑像) come in miniature (微型的) sizes, making them suitable for display almost anywhere.Even if blind boxes are not their top choice for decorations(装饰品), the mystery and uncertainty of the process also attracts people. It’s the main reason why people buy blind boxes one after another.“Fear of the unknown is always a part of the box-opening process,” said Miss Cao, 24, who lives and works in Shenyang. Speaking to Sina News, she said: “Until you open all the boxes, you cannot know what it is inside.”Opening a blind box is a delightful little surprise for our mundane daily lives, something small but fun to wait for each day, week or month. When people open this simple little box, they may be disappointed, but the uncertainty is part of the fun. People will open more blind boxes and hope for a better outcome.When someone re-makes Forrest Gump, don't be surprised if he says, “Life is like a blind box.”12.What feature of blind boxes attracts people?A.They often get toys designed by famous artists.B.They don’t know what they’ve got until they open them.C.They can learn about pop culture from the packaging.D.They can experience the excitement of online shopping.13.Why does Miss Cao love blind box toys?。
2024届黑龙江省大庆市重点中学高三下学期联考英语试题含解析
2024年高考英语模拟试卷注意事项1．考生要认真填写考场号和座位序号。
2．试题所有答案必须填涂或书写在答题卡上，在试卷上作答无效。
第一部分必须用2B 铅笔作答；第二部分必须用黑色字迹的签字笔作答。
3．考试结束后，考生须将试卷和答题卡放在桌面上，待监考员收回。
第一部分（共20小题，每小题1.5分，满分30分）1．Once published, the novel was a(n) success and was soon translated into nine foreign languages. A．occasional B．instantC．constant D．individual2．The British government published an official policy document ________ its plans to bring the UK out of the European Union.A．letting out B．putting outC．setting out D．working out3．T he Palace of Versailles, France’s national treasure, has ________ many changes in its century-long history while keeping its beauty.A．gone through B．taken onC．led to D．showed off4．A survey of the opinions of experts _________ that three hours of o utdoor exercise a week ________ good for one’s health.A．show; are B．shows; isC．show; is D．shows; are5．--- I can’t think why he_____ so angry. I meant no offence.---It’s typical of him to be sensitive.A．should have been B．must have beenC．might have been D．can have been6．The country’s chief exports are coal, cars and cotton goods, cars_____ the most important of these.A．have been B．areC．being D．are being7．— Will it take me long to get to the Sunshine Hotel?—No, it ______ take you long. It’s n ot the rush hour now.A．shouldn’t B．shan’tC．mustn’t D．needn’t8．I guess ________ impresses me most about his painting is the colors he uses.A．who B．whichC．that D．what9．Passengers _____ talk to the driver while the bus is moving, because it will take his focus off the road.A．would not B．must notC．may not D．need not10．After he consulted with his professor，an idea was beginning to____________ in his mind.A．pay off B．take shapeC．work out D．make up11．Visit the old man this afternoon？If you ________，make sure you wear sunscreens to protect your skin. A．must B．canC．may D．shall12．We are so tired. ______ we could take the day off tomorrow!A．Only ifB．What ifC．If onlyD．If so13．At the back of the old temple __________ twelve huge stone statues together with __________ pagoda.A．does stand; a 8-storeyed B．do stand; a 8- storyC．stands; an 8-storey D．stand; an 8- storied14．In the past few years, we’ve seen works by Chinese sci-fi writers winning international ______.A．conclusion B．standardC．potential D．recognition15．—Are you doing your homework？—No, I’m writing a short play．It _____ at the Christmas party．A．will be put on B．will put onC．puts on D．is put on16．Only when _________hard __________ make your dream come true.A．do you work; you can B．you work; you canC．do you work; can you D．you work; can you17．The purpose of her talking to me last night actually _______this: That I shall never trust him any more in future. A．comes round B．comes out C．comes on D．comes to18．As you can see, the number of cars on our roads ________ rising these days.A．was keeping B．keepC．keeps D．were keeping19．He insisted what he did _______ right and that anyone who broke laws ________．A．was ; be punished B．be ; was punishedC．was; was punished D．be ; be punished20．More subway lines______ to make travelling easy in Beijing in the coming years.A．will build B．will be builtC．build D．are built第二部分阅读理解（满分40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。
东北师范大学2019-2020学年高三年级下学期开学验收测试英语试题参考答案
team cooperation, but most importantly improved our lifelong sports consciousness.
What sports activities are held in your school? Looking forward to hearing from you.
do is take medicine and take a rest now. Then I can go back to work. Text 4 M: When will you get your work done? I really wanted to make it to that movie tonight. W: I’m not sure. I have to finish this report for my boss. I’ll call you as soon as I leave
work. Text 5 M: Being a homeowner is a lot of extra work. We have to clean the inside and outside of the
house. I hardly have any time for myself these days. W: Wait until we have kids. Then you’ll really know what work is! Text 6 M: Do you like to travel, Mary? W: I absolutely love it. M: Me too. Being in other cultures, meeting new people, seeing new sites — it’s the best! W: My favorite part of traveling is eating. M: Really? Normally, you watch your diet very carefully. W: Yes, but when traveling, food is such an important part of getting to know a culture. Can
【20套精选试卷合集】黑龙江省大庆市第一中学2019-2020学年高考英语模拟试卷含答案
高考模拟英语试卷注意：1．考生务必将所有的答案涂/写在答题卷上各题目指定区域内的相应位置；否则不得分。
2. 考生务必用黑色字迹的钢笔或签字笔做答。
第Ⅱ卷(满分135分)一. 完形填空（共15小题; 每小题2分, 满分30分）阅读下面短文，撑握其大意，然后从11~25各题所给的四个选项（A、B、C和D）中，选出最佳选项。
Dad loved children. And he always wanted a ____11____ family. Eventually, he got what he wanted with twelve children in the family. Without fail, he would show us off to visitors.Once, Dad ____12____ presented the first three children in the family, Ann, Mary and Ernestine, to some visitors. Then he picked up a fourth child, and said, "And this is our ____13____ model, complete with all the improvements. And don't think that this is all; we are ___14____ the 1953 model some time next month."But what he ____15____ most was taking us out for a drive. On one occasion a man in a village we were passing through shouted ____16____ that he had seen eleven people in our car, not ____17____ Mum and Dad. _____18___, Dad called out over his shoulder, "You ____19____ the second baby up from the front here, Mister."Another time, Dad told us this joke, though we were not sure then whether he was telling us the ____20____. Mum, who was a psychologist (心理学家), once went to give a lecture and left Dad in charge of the _____21_____. When Mum returned, she asked him if everything had been O. He said everything was fine _____22_____ one of the children had been taught a lesson because he had been ____23____. When he pointed at the child that had been ____24___, Mum looked at him calmly and said, "That's not one of ours, dear. He ____25_____ next door."11. A. rich B. lovely C. close D. large12. A. surprisingly B. nervously C. kindly D. proudly13. A. dearest B. smallest C. latest D. youngest14. A. ordering B. selling C. Expecting D. improving15. A. hated B. enjoyed C. cared D. hoped16. A. crazily B. excitedly C. curiously D. directly17. A. counting B. naming C. showing D. reaching18. A. Immediately B. Carefully C. Angrily D. Easily19. A. saw B. missed C. forget D. left20. A. truth B. story C. Adventure D. accident21. A. lecture B. house C. office D. activity22. A. even if B. apart from C. so that D. except that23. A. troublesome B. careless C. active D. quiet24. A. found B. caught C. Punished D. wounded25. A. goes to B. belongs to C. works D. plays二. 语法填空（共10小题; 每小题1.5分, 满分15分）阅读下面短文，按照句子结构的语法性和上下文连贯的要求，在空格处填入一个适当的词或使用括号中词语的正确形式填空，并将答案填写在答题卡标号为26～35的相应位置上。
人教版2019-2020学年九年级英语第一学期期末测试题（含答案）
⼈教版2019-2020学年九年级英语第⼀学期期末测试题（含答案）2019-2020学年九年级英语第⼀学期期末测试题（满分120 分，考试⽤时120 分钟）⼀、听⼒（共三节；计25分）第⼀节（共5⼩题；每⼩题1分，满分5分）听句⼦。
从每⼩题所给的A、B、C三个选项中，选出与句⼦内容相符的图⽚。
听完每句话后，你将有5秒钟的答题时间。
读⼆遍。
1.A B C2.A B C3.A B C4.A B C5.A B C第⼆节（共15⼩题；每⼩题1分，满分15分）听下⾯6段对话。
每段对话后⾯有⼏个⼩题，从题后所给的A、B、C三个选项中选出最佳答案。
听完每段对话后，你将有10秒钟的答题时间。
读两遍。
听第6段对话，回答第6、7⼩题。
6. What does Peter need?A.Some cards.B.Some help.C.An English test.7. How did Mary study for the last English test?九年级英语试题第1页（共8页）A.By making word cards.B.By doing something.C.By Peter’s help.听第7段对话，回答第8、9⼩题。
8. What can we learn about the boy from the dialogue?A.He reads very slowly.C.He doesn’t want to give a report.9. What does Annie ask him to do?A.Read word by word.B.Read word groups.C.Finish reading a book. 听第8段对话，回答第10、11⼩题。
10.What a school rule should be changed?A.The one which we should be allowed to use dictionaries.B.The one which we should be allowed to get our ears pierced.C.The one which we should be allowed to wear our own clothes.11.What is good for studying?A.Wearing our own clothes.B.Changing a rule.C.Giving away our clothes. 听第9段对话，回答第12、14⼩题。
2019-2020学年华师附属高级中学高三英语上学期期中试题及答案解析
2019-2020学年华师附属高级中学高三英语上学期期中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AIn his 402nd anniversary year, Shakespeare is still rightly celebrated as a great language master and writer. But he was not the only great master of play writing to die in 1616, and he is certainly not the only writer to have left a lasting influence on theater.While less known worldwide, Tang Xianzu is considered one of Chinas greatest playwrights and is highly spoken of in that country of ancient literary and dramatic traditions.Tang was born in 1550 inLinchuan,Jiangxiprovince. Unlike Shakespeare's large body of plays,poems and sonnets (十四行诗), Tang wrote only four major plays: The Purple Hairpin, Peony Pavilion (《牡丹亭》), A Dream under the Southern bough, and Dream of Handan. The latter three were constructed around a dream narrative, a way through which Tang unlocked the emotional dimension of human desires and ambitions and explored human nature beyond the social and political limits of that time.Similar to Shakespeare, Tang's success rode the wave of a renaissance (复兴) in theater as an artistic practice. As in Shakespeare'sEngland, Tang's works became hugely popular inChinatoo. During Tang'sChina, his plays were enjoyed performed, and changed. Kunqu Opera, a form of musical drama, spread from southernChinato the whole nation and became a symbol of Chinese culture. Combining northern tune and southern music, kunqu Opera was known for its poetic language, music, dance movements and gestures. Tang's works benefited greatly from the popularity of kunqu Opera, and his plays are considered classics of kunqu Opera.While Tang and Shakespeare lived in a world away from each other, there are many things they share in common, such e humanity of their drama, their heroic figures, their love for poetic language, a lasting popularity and the anniversary during which we still celebrate them.1. Why is Shakespeare mentioned in the first paragraph?A. To describe Shakespeare's anniversary.B. To introduce the existence of Tang Xianzu.C. To explain the importance of Shakespeare.D. To suggest the less popularity of Tang Xianzu.2. What's possibly one of the main theme of Tang's works?A. Social reality.B. Female dreams.C. Human emotions.D. Political environment.3. What does the author mainly tell us in Paragraph 4?A. The influence of Kunqu Opera on Tang's works.B. Tang's success in copying Shakespeare's styles.C. The way Kunqu Opera became a symbol of Chinese culture.D. Tang's popularity for his poetic language and music.BThe Rise of Voice TechnologyVoice technology has come a long way. Just a few years ago, it would have been unusable. But now, those who follow the technology know that it has got considerably better.Writing with your voice raises several interesting questions. How difficult is it actually? Human speech involves a lot more starting and stopping with errors and the need for repairing broken sentences than you may think. Even gifted speakers make mistakes. To turn the spoken word into reasonable writing requires lots of planning. You’ll need some kinds of notes or other organisers to make it work.Another question turning speech into writing raises is the style. How would writing make the change that people speak their writing rather than type? Chances are that it would come up with many more short sentences and more concrete language, which is good. It would probably also rely on prepared phrases a lot more often, which is not available when you are speaking quickly.To confirm this, a column was not written, but dictated (听写). It was composed from brief notes written down for structure only, and it was edited for length, with all of the original errors kept in. Here were the results. The first was that the literal accuracy was extremely high. There weren’t many cases wherethe software had heard one word incorrectly and written down another. But the other result was that the readability of this column was rather bad. Obviously, the blame is not with the technology at all, which turns out to be rather good. Speaking into writing relies on a better human brain than the one we currently possess. Writing is hard. There’s a reason it can’t be done at the speed of speech, in real time.To clarify the matter, this time paragraph breaks were added after the whole writing. Punctuations (标点) had to be spoken aloud, and after a full stop, the first word in the new sentence was capitalized automatically. Some minor punctuation marks were added to make it clearer. To improve accuracy, people “trained” the softwarebeforehand, reading a prewritten passage aloud. Actually it turns out to be more effective. All of these ensure the satisfactory completion of turning speech into writing.Language is the most important tool for human interaction, and voice is one beautiful part of language. With the maturity of modern technology, it has given birth to a great change in the human-computer voice interaction.4. According to the passage, which helps to turn speech into writing in terms of style?A. There is careful planning in advance.B. Errors and broken sentences are avoided.C. People type words as fast as they say them.D. The writing contains more prepared phrases.5. To achieve better results, the author mentions some changes for ______.A. processing errors in a column.B. adding minor punctuation marks.C. increasing the number of brief notes.D. integrating short paragraphs in writing.6. The author suggests that ______.A. human brains are responsible for poor dictated writing.B. writing with voice promises to improve the quality of writing.C. writing is an unnatural act that can hardly be learned and improved.D. technology has a long way to go in the human-computer voice interaction.7. What is the passage mainly about?A. Why people fully intend to turn speech into writing.B. What role voice technology plays in improving readability.C. Where the human-computer voice interaction is at an advantage.D. How voice technology enables the change from speech into writing.CClara Daly was seated on an Alaska Airlines flight from Boston to Los Angeles when a flight attendant asked an urgent(紧急的) question over the loudspeaker: “Does anyone on board know American Body Language?” She knew she needed to help.Clara, 15 at the time, pressed the call button. The flight attendant came by and explained the situation. “We have a passenger on the plane who’s blind and deaf,” she said. The passenger seemed to want something, but hewas traveling alone and the flight attendants couldn’t understand what he needed, according to PEOPLE magazine.Clara had been studying ASL for the past year to help with her dyslexia (阅读障碍) and knew she’d be able to spell on the man’s palm(手掌) by finger. So she unbuckled her seat belt, walked toward the front of the plane, and knelt by the aisle seat of Tim Cook, then 64. Gently taking his hand, she wrote, “How are you? Are you OK?” Cook asked for some water. When it arrived, Clara returned to her seat. She came by again a bit later because he wanted to know the time. On her third visit, she stopped and stayed for a while.“He didn’t need anything. He was lonely and wanted to talk,” Clara said. So for the next hour, that was what they did. She talked about her family and her plans for the future (she wants to be a politician). Cook told Clara how he had gradually become blind over time and shared stories of his days as a traveling salesman. Even though he couldn’t see her, she “looked attentively at his face with such kindness”, a passenger reported.“Clara was amazing,” a flight attendant told Alaska Airlines in a blog interview. “You could tell Cook was very excited to have someone he could speak to, and she was such a warm-hearted girl.” Cook’s reaction: “Best trip I’ve ever had.”Looking for ways to offer help? Start with this random(随时的) act of kindness that can change someone’s life right now.8. The flight attendant asked an urgent question because ________.A. the passenger was traveling aloneB. the plane was in a dangerous situationC. the passenger asked for something suddenlyD. none of the flight attendants could communicate with the passenger9. Why did Clara talk about her plans for the future?A. Because the flight attendant asked her to do so.B. Because she needed topics to go on talking with Cook.C. Because Cook hoped to understand teenagers better.D. Because she wanted to show her dream for the future.10. Which of the following words can best describe Clara?A. Kind and caring.B. Warm-hearted and brave.C. careful and calm.D. opened-minded and confident.11. The passage is mainly written to ________.A. tell a touching story of an amazing girlB. show the great importance of American Body LanguageC. encourage readers to give a hand kindly and randomlyD. show how kind the flight attendant was to help CookDGrowing up as kids we are told to share our toys and notto be selfish. We also live in an age when discussing our feelings is encouraged. But when does it all become too much? With new crazes trending all the time, such as dance challenges and wearing a carpet as a dress, the question is: when can sharing become oversharing on social media?“Oversharing” has become associated with social media, but it isn'texclusiveto this platform. Imagine you head to a party and meet x k w someone. Within five minutes they have revealed private details about their life. While some of us may try to escape these people, according to marriage advisor Carolyn Cole, this form of oversharing could come from a strong desire to connect with someone. But how does this translate to social media?Dr. Christopher Hand, a lecturer in cyberpsychology (网络心理学），says the more details people disclose, the less sympathy we express when things go wrong. It seems that searching for sympathy by oversharing is generally considered as negative rather than the cry for help it could really be.However, Dr. Hand's research also seems to suggest that the more we post on a platform, the more socially attractive we become-provided that the posts that we bang out are positive. Even back in 2015, Gwendolyn Seidman PhD said that we should avoid complaining and being negative online. We should also avoid showing off, especially about our love lives. It makes sense-if your date is going “that well", would you really have time to share a photo with text?So, how can you know if you are oversharing? Well, why not ask your friends in real life. They would probably be happy to tell you if your posts about your breakfast or your complaints about your lack of money really are too much.12. What does the underlined word “exclusive" in paragraph 2 mean?A. Unique.B. Similar.C. Relevant.D. Fundamental.13. Why do some people prefer oversharing at parties?A. To draw others' attention.B. To satisfy others' curiosity.C. To remove negative feelings.D. To develop good relationships.14. Which of the following may Dr. Hand agree with?A. Sharing more details online can attract more sympathy.B. Oversharing negative experiences is equal to crying for help.C. Sharing negative posts can't help one become socially attractive.D. Oversharing isn't likely to happen online when things go wrong.15. According to the text, what should be avoided for online sharing?A. Reflecting on past bad manners.B. Showing a great many expensive goods.C. Writing a recipe for a balanced breakfast.D. Recording unforgettable moments with friends.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。
专题03 复数必刷100题(解析版)
专题03 复数必刷100题任务一:善良模式(基础)1-50题一、单选题1．（四川省资阳市2021-2022学年高三第一次诊断考试数学（文）试题）已知复数2i 1i-=-（ ）A ．3i 22+ B ．13i 22- C ．33i 22- D ．1i 22+ 【答案】A 【分析】根据复数除法运算法则计算即可. 【详解】()()()()2i 1i 2i 3i 3i1i 1i 1i 222-+-+===+--+. 故选：A.2．（广东省清远市博爱学校2022届高三上学期11月月考数学试题）在复平面内，复数3i1iz +=-（其中i 为虚数单位）对应的点位于（ ） A ．第一象限 B ．第二象限 C ．第三象限 D ．第四象限【答案】A 【分析】利用复数的乘除法运算化简，再结合复数的几何意义即可得出结果. 【详解】 因为3i (3i)(1i)24i=12i 1i (1i)(1i)2z ++++===+--+， 所以复数z 对应的点的坐标为(1，2)，位于第一象限. 故选：A.3．（山西省太原市第五中学2022届高三上学期第四次模块诊断数学（文）试题）已知复数z 满足i 2z z +=，则复数z 的虚部为（ ）A ．1B ．i -C ．iD ．1-【答案】D【分析】先由i 2z z +=求出复数z ，然后可求出其虚部 【详解】 由i 2z z +=，得22(1i)1i 1i (1i)(1i)z -===-++-， 所以复数z 的虚部为1-， 故选：D.4．（四川省成都市第七中学2021-2022学年高三上学期期中考试文科数学试题）复数43i2iz -=+（其中i 为虚数单位）的虚部为（ ） A ．2- B ．1- C ．1 D ．2【答案】A 【分析】根据复数除法的运算法则，求出复数z ，然后由虚部的定义即可求解. 【详解】 解：因为复数()()()()2243i 2i 43i 510i12i 2i 2i 2i 21z ----====-++-+， 所以复数z 的虚部为2-， 故选：A.5．（云南省师范大学附属中学2022届高三高考适应性月考卷（四）数学（理）试题）复数i(,)a b a b +∈R 与1i +之积为实数的充要条件是（ ） A ．0a b == B ．0ab = C ．0a b += D ．0a b -=【答案】C 【分析】利用复数的乘法运算结合复数分类的概念即可得到答案. 【详解】因为(i)(1i)()i a b a b a b ++=-++是实数，所以0a b +=， 故选：C ．6．（四川省南充市2022届高考适应性考试（零诊）理科数学试题）已知2(1i)34i z -=+，其中i 为虚数单位，则复数z 在复平面内对应的点在第（ ）象限 A ．一 B ．二 C ．三 D ．四【答案】B 【分析】由2(1i)34i z -=+求出复数z ，即可求得答案． 【详解】由2(1i)34i z -=+，得()234i34i 3i22i 21i z ++===-+--， 则复数z 在复平面内对应的点为32,2⎛⎫- ⎪⎝⎭，在第二象限，故选：B.7．（黑龙江省大庆市东风中学2021-2022学年高三上学期10月质量检测数学（文）试题）设复数1z =（i 是虚数单位），则z z +的值为（ ） A ．B ．C ．1D ．2【答案】D 【分析】根据共轭复数的概念及复数模的公式，即可求解. 【详解】由复数1z =，可得1z =，所以112z z +=++=， 所以2z z +=. 故选：D.8．（江苏省南京市中华中学2021-2022学年高三上学期10月阶段检测数学试题）设4-，则z 的共轭复数的虚部为（ ） A ．32 B ．3i 2C ．32-D ．3i 2-【答案】C 【分析】先对复数4-化简，从而可求出其共轭复数，进而可求出其虚部【详解】因为()()()()2i1i2i13i13i 1i1i1i222z++++====+--+，所以13i22z=-，所以z的虚部为32-，故选：C.9．（西南四省名校2021-2022学年高三上学期第一次大联考数学（理）试题）已知复数2,2,dq=⎧⎨=⎩，则z的虚部为（）A．1-B．i-C．1D．2i-【答案】A【分析】先利用复数的除法法则化简，再利用共轭复数和虚部的概念进行求解. 【详解】因为22(1i)1i 1i2z+===+-，所以1iz=-，则z的虚部为1-．故选：A．10．（广东省深圳市普通中学2022届高三上学期质量评估（新高考I卷）数学试题）若复数1iiiza+=-+为纯虚数，则实数a的值为（）A．1-B．12-C．0 D．1【答案】A【分析】根据复数运算规则及纯虚数的定义，化简求解参数即可.【详解】化简原式可得：()()()22212i1i i1ii ii11a a aaza a a++--+-+=-=-=+++z 为纯虚数时，221021a a a a +=--+，≠0即 1a =-，选项A 正确，选项BCD 错误. 故选A ．11．（广东省深圳市罗湖区2022届高三上学期第一次质量检测数学试题）已知复数1(2)i z a a=+-（i 为虚数单位）在复平面内所对应的点在直线y x =上，若a ∈R ，则z =（ ） AB ．2C D ．10【答案】A 【分析】先利用实部等于虚部，求出参数，即可求出模. 【详解】解：由题意得：1(2)a a=-，解得1a =，z 故选：A.12．（全国2022届高三第一次学业质量联合检测文科数学（老高考）试题）复数112i1iz +=+在复平面内对应的点位于（ ） A ．第一象限 B ．第二象限 C ．第三象限 D ．第四象限【答案】A 【分析】利用复数的除法化简复数z ，利用复数的几何意义可得出结论. 【详解】112433i ii i ⨯+===-，则()()()()112i 1i 2i 2i 13i 13i 1i 1i 1i 2221i z +++++=====+--++，因此，复数z 对应的点位于第一象限. 故选：A.13．（神州智达省级联测2021-2022学年高三上学期第一次考试数学试题）在复平面内，点A 和C 对应的复数分别为42i -和24i -+，若四边形OABC 为平行四边形，O （为坐标原点），则点B 对应的复数为（ ） A ．1i +B ．1i -C ．22i -D ．22i +【分析】由复数的几何意义，可得OA 与OC 的坐标，再根据向量加法的平行四边形法则即可求解OB 的坐标，从而可得点B 对应的复数. 【详解】解：由题意，4,2,2)4(,()OA OC =--=， 又OB OA OC =+， 所以()2,2OB =，所以点B 对应的复数为22i +. 故选：D.14．（广东省广州市西关外国语学校2022届高三上学期8月月考数学试题）已知复数()()1i 12i z =--，其中i 是虚数单位，则z 的共轭复数虚部为（ ） A ．3- B ．3C ．3i -D ．3i【答案】B 【分析】利用复数的乘法运算化简复数13i --，再根据共轭复数的概念，即可得答案； 【详解】()()1i 12i 13i z =--=--，∴13i z =-+，∴z 的共轭复数虚部为3，故选：B.15．（广东省深圳市龙岗布吉中学2020-2021学年高一下学期中数学试题）已知i 是虚数单位，则复数202120212i 2i z -=+对应的点所在的象限是（ ） A ．第一象限 B ．第二象限 C ．第三象限 D ．第四象限【答案】D 【分析】利用复数的乘方、除法运算化简z ，进而判断其所在的象限.由4i 1=，则20215054122021505412i 2i 2i (2i)34i2i (2i)(2i)52i 2i z ⨯+⨯+-----=====++-++， ∴z 对应的点34,55⎛⎫- ⎪⎝⎭所在的象限是第四象限.故选：D.16．（湖南省岳阳市岳阳县第一中学2021-2022学年高三上学期入学考试数学试题）已知复数122,i(R)1iz z a a ==+∈+，若12,z z 在复平面内对应的向量分别为12,OZ OZ （O 为直角坐标系的坐标原点），且12||2OZ OZ +=，则a =（ ） A ．1 B ．-3 C ．1或-3 D ．-1或3【答案】C 【分析】利用复数代数形式的乘除运算化简1z ，然后求得12OZ OZ +，再由复数模的计算公式求解． 【详解】 122(1i)1i 1+i (1i)(1i)z -===-+-， 2i z a =+，则12|||(1,1)(,1)||(1,0)||1|2OZ OZ a a a +=-+=+=+=，解得1a =或3-． 故选：C.17．（甘肃省天水市秦州区2020-2021学年高二下学期第一阶段检测数学（文）试题）关于复数z 的方程31z -=在复平面上表示的图形是（ ）A ．椭圆B ．圆C ．抛物线D ．双曲线【答案】B 【分析】根据复数差的模的几何意义，分析即可得答案. 【详解】由于两个复数差的模表示两个复数在复平面内对应点之间的距离，所以关于复数z 的方程31z -=在复平面上表示的图形是以（3,0）为圆心，1为半径的圆.18．（江苏省无锡市辅仁高级中学2020-2021学年高一下学期期中数学试题）欧拉是一位杰出的数学家，为数学发展作出了巨大贡献，著名的欧拉公式：i cos isin e θθθ=+，将三角函数的定义域扩大到复数集，建立了三角函数和指数函数的关系，它在复变函数论里占有非常重要的地位，被誉为“数学中的天桥”.结合欧拉公式，复数i412i 1i z π-=++在复平面内对应的点位于（ ）A ．第一象限B ．第二象限C ．第三象限D ．第四象限【答案】D 【分析】利用欧拉公式代入直接进行复数的运算即可求解. 【详解】i412i 12i cos isin 1i 1=i 44z e πππ--⎫=++⎪++⎭12i 12ii 11i 1i =⎫--++=++⎪⎪++⎝⎭()()()()12i 1i 13i 11i 1i 1=i 1i 1i 222----=++=++-+-,所以复数z 在复平面对应的点为11,22⎛⎫- ⎪⎝⎭，位于第四象限，故选：D.19．（福建省2021届高三高考考前适应性练习卷（二）数学试题）法国数学家棣莫弗（1667-1754）发现的公式()cos isin cos isin nx x nx nx +=+推动了复数领域的研究．根据该公式，可得4ππcos isin 88⎛⎫+=⎪⎝⎭（ ）． A ．1 B ．iC ．1-D ．i -【答案】B 【分析】根据已知条件将4ππcos sin 8i 8⎛⎫+ ⎪⎝⎭化成i ππcos sin 22+，根据复数的运算即可.根据公式得4i i i ππππcos sin cos sin 8822⎛⎫+=+= ⎪⎝⎭， 故选:B.20．（福建省三明第一中学2021届高三5月校模拟考数学试题）复数z 满足21z -=，则z 的最大值为（ ） A ．1 BC ．3D 【答案】C 【分析】由复数模的几何意义可得复数z 对应点Z 在以(2,0)A 为圆心，1为半径的圆上运动，数形结合可得z 的最大值. 【详解】设(,)z x yi x y R =+∈，21z -=，∴复数z 对应点(,)Z x y 在以(2,0)A 为圆心，1为半径的圆上运动.由图可知当点Z 位于点(3,0)B 处时，点Z 到原点的距离最大，最大值为3. 故选：C.【点睛】两个复数差的模的几何意义是：两个复数在复平面上对应的点的距离.21．（重庆一中2021届高三高考数学押题卷试题（三））系数的扩张过程以自然数为基础，德国数学家克罗内克(Kronecker ，1823﹣1891)说“上帝创造了整数，其它一切都是人造的”设为虚数单位，复数Z 满足()202012Z i i =+，则Z 的共轭复数是（ ） A ．2i + B ．2i -C ．12i -D ．12i +【答案】C利用虚数单位的幂的运算规律化简即得12Z i =+,然后利用共轭复数的概念判定. 【详解】 解：()505202041,12,12i i Z i Z i ==∴=+∴=-,故选：C.22．（福建省福州市八县（市、区）一中2022届高三上学期期中联考数学试题）下面是关于复数2i1iz =-（i 为虚数单位）的命题，其中真命题为（ ） A ．2z =B ．复数z 在复平面内对应点在直线y x =上C ．Z 的共轭复数为1i --D ．z 的虚部为1-【答案】C 【分析】由复数除法化简复数为代数形式，然后求模，写出对应点的坐标．得其共轭复数及虚部，判断各选项． 【详解】22i 2i(1i)2(i i )1i 1i (1i)(1i)2z ++====-+--+，所以z =A 错；对应点坐标为(1,1)-不在直线y x =上，B 错； 共轭复数为1i --，C 正确； 虚部为1，D 错． 故选：C ．23．（江苏省南通市如皋市2021-2022学年高三上学期教学质量调研（一）数学试题）已知复数z 满足1i z z -=-，则在复平面上z 对应点的轨迹为（ ） A ．直线 B ．线段C ．圆D ．等腰三角形【答案】A 【分析】根据复数的几何意义，结合1i z z -=-，得到点P 在线段,A B 的垂直平分线上，即可求解. 【详解】设复数i(,)z x y x y =+∈R ，根据复数的几何意义知：1z -表示复平面内点(,)P x y 与点(1,0)A 的距离，i z -表示复平面内点(,)P x y 与点(0,1)B 的距离，因为1i z z -=-，即点(,)P x y 到,A B 两点间的距离相等，所以点(,)P x y 在线段,A B 的垂直平分线上，所以在复平面上z 对应点的轨迹为直线. 故选：A.24．（北京一零一中学2022届高三9月开学练习数学试题）已知复数z 满足z ＋z ＝0，且z ·z ＝4，则z ＝（ ） A ．±2 B ．2C ．2i ±D ．2i【答案】C 【分析】不妨设i z a b =+，代入0z z +=，4z z ⋅=，运算即得解 【详解】由题意，不妨设i z a b =+，则i z a b =-由0z z +=，可得i i 20a b a b a ++-==，故0,i a z b == 且2i (i)42z z b b b b ⋅=⨯-==∴=±2i z ∴=±故选：C.25．（第十章复数10.1复数及其几何意义10.1.2复数的几何意义）向量1OZ 对应的复数是54i -，向量2OZ 对应的复数是54i -+，则1OZ ＋2OZ 对应的复数是（ ）A ．108i -+B ．108i -C ．0D ．108i +【答案】C 【分析】由复数的代数形式写出对应复平面上的点坐标，应用向量坐标的线性运算求1OZ ＋2OZ ，即可知其对应的复数. 【详解】由题意可知：1(5,4)OZ =-，2(5,4)OZ =-， ∴1OZ ＋2OZ ＝(5,4)-＋(5,4)-=(0,0)． ∴1OZ ＋2OZ 对应的复数是0. 故选：C.26．（广东省肇庆市2022届高三上学期一模考前训练（二）数学试题）已知i 为虚数单位，复数112i z =-，22i z =+，则复数12z z 在复平面上对应的点位于（ ）A ．第一象限B ．第二象限C ．第三象限D ．第四象限【答案】A 【分析】先由已知条件求出12z z ，然后求出12z z ，从而可求出复数12z z 在复平面上对应的点所在的象限 【详解】因为112i z =-，22i z =+，所以212(12i)(2i)2i 4i 2i 43i z z =-+=+--=-， 所以1243i z z =+，所以复数12z z 在复平面上对应的点位于第一象限， 故选：A.27．（福建省泉州科技中学2022届高三上学期第一次月考数学试题）若1i Z =+，则20202021()()Z Z ZZ --+的虚部为（ ） A ．i B ．i -C ．1D ．1-【答案】D 【分析】根据1i Z =+，结合共轭复数，利用复数的除法和乘方运算求解. 【详解】因为1i Z =+，所以()()()()()()()()1i 1i 1i 1i 1i 1i i,i 1i 1i 1i 1i 1i 1i Z Z Z Z--++--+-======---+++-， 所以2020202120202021()()i (i)1i Z Z ZZ --+=+-=-， 故其虚部为-1， 故选：D.28．（河南省部分名校2021-2022学年高三上学期第一次阶段性测试文科数学试题）已知i 为虚数单位，复数z 满足1i 1iz +＝+，则|z |等于（ ） A ．12BCD【答案】C 【分析】结合复数的减法和除法运算求出复数z ，进而利用复数的模长公式即可求出结果. 【详解】 因为11i 13i i i 1i 222z -=-=-=-++，所以z ==故选：C.29．（河南省许昌市2022届高三第一次质量检测（一模）理科数学试题）已知复数z 满足12(1i)iz +=+，其中i 为虚数单位，则复数z 在复平面内所对应的点在（ ） A ．第一象限 B ．第二象限 C ．第三象限 D ．第四象限【答案】D 【分析】设i z a b =+，,a b ∈R ，利用复数乘法化简(1i)z +并求出12i+，根据复数相等判断,a b 的符号，即可知复数z 对应的象限. 【详解】令i z a b =+，,a b ∈R ，则(1i)()(1i)(i )i z a b a a b b +=+=-+++，又122i i+=-，则12i +=∴()i a b a b -++0a b a b ⎧-=>⎪⎨+=⎪⎩，∴0a b >>，则复数z 在复平面内所对应的点在第四象限. 故选：D.30．（广西南宁市2022届高三高中毕业班上学期摸底测试数学（理）试题）已知复数13i z =+和21i z =+，则1122z z z z +=（ ） A ．34i + B ．43i + C ．36i + D ．63i +【答案】B 【分析】利用复数的四则运算法则，求解即可 【详解】 由题意， 11212221z z z z z z z ⎛⎫+=+ ⎪⎝⎭ 11i 3+i (3i)1i (3i)1i (3i)1i (1i)(1)2i ⎛⎫-⎛⎫⎛⎫=+++=+++=+ ⎪ ⎪ ⎪++-⎝⎭⎝⎭⎝⎭(3i)(3i)86i 43i 22+++===+ 故选：B二、多选题31．（河北省石家庄市藁城新冀明中学2022届高三上学期第一次月考数学试题）设()1i 2i z -=+，则下列叙述中正确的是（ ） A ．z 的虚部为32-B ．13i 22z =- C ．∣z ∣D ．在复平面内，复数z 对应的点位于第四象限【答案】BC 【分析】先根据复数的除法法则求得z值，再根据复数的概念求出复数的虚部、共轭复数、模，再根据复数的几何意义判定选项D错误.【详解】由()1i2iz-=+，得2i(2i)(1i)13i13i 1i(1i)(1i)222z++++====+--+，则：z的虚部为32，即选项A错误；13i22z=-，即选项B正确；z==C正确；复数z对应的点13(,)22位于第一象限，即选项D错误.故选：BC.32．（广东省珠海市艺术高级中学2020-2021学年高二下学期期中数学试题）若复数35i1iz-=-，则（）A．z=B．z的实部与虚部之差为3C．4iz=+D．z在复平面内对应的点位于第四象限【答案】ACD【分析】由已知复数相等，应用复数的除法化简得4iz=-，即可判断各选项的正误.【详解】∵()()()()35i1i35i4i 1i1i1iz-+-===---+，∴z的实部与虚部分别为4，1-，z A正确；z的实部与虚部之差为5，B错误；4iz=+，C正确；z在复平面内对应的点为()41-,，位于第四象限，D正确．故选：ACD．33．（重庆市第八中学2021届高三下学期高考适应性考试（三）数学试题）已知复数20211i 11iz +=+-（i 为虚数单位）、则下列说法正确的是（ ） A ．z 的实部为1 B ．z 的虚部为1-C ．z =D ．1i z =+【答案】AC 【分析】先对20211i 11i z +=+-化简求出复数z ，然后逐个分析判断即可【详解】解：202145051221i 1i 1i (1i)12i i 111111i 1i 1i 1i (1i)(1i)2z ⨯+++++++=+=+=+=+=+=+----+，所以复数z 的实部为1，虚部为1，所以A 正确，B 错误，z C 正确， 1i z =-，所以D 错误，故选：AC.34．（湖南师范大学附属中学2020-2021学年高一下学期第一次大练习数学试题）已知i 为虚数单位，以下四个说法中正确的是（ ） A ．2340i i i i +++= B ．复数3z i =-的虚部为i -C ．若2(12)z i =+，则复平面内z 对应的点位于第二象限D ．已知复数z 满足11z z -=+，则z 在复平面内对应的点的轨迹为直线 【答案】AD 【分析】根据复数的概念、运算对选项逐一分析，由此确定正确选项. 【详解】A 选项，234110i i i i i i +++=--+=，故A 选项正确.B 选项，z 的虚部为1-，故B 选项错误.C 选项，214434,34z i i i z i =++=-+=--，对应坐标为()3,4--在第三象限，故C 选项错误.D 选项，()111z z z -=+=--表示z 到()1,0A 和()1,0B -两点的距离相等，故z 的轨迹是线段AB 的垂直平分线，故D 选项正确. 故选：AD.35．（2021届新高考同一套题信息原创卷（四））已知,a b ∈R ，()1i 32i a b --=-，()1i a b z -=+，则（ ） A ．z 的虚部是2i B ．2z =C ．2i z =-D ．z 对应的点在第二象限【答案】BC 【分析】由复数相等，求出,a b 的值，然后求出2i z =，根据复数的相关概念判断选项. 【详解】由复数相等可得3,12,b a -=⎧⎨-=-⎩解得1,3,a b =-⎧⎨=-⎩所以()()21i 1i 2i a b z -=+=+=，z 的虚部是2，所以A 选项错误；2i 2z ==，所以B 选项正确； 2i z =-，所以C 选项正确；z 对应的点在虚轴上，所以D 选项不正确.故选：BC.36．（在线数学135高一下）下面关于复数()1z i i =-+（i 是虚数单位）的叙述中正确的是（ ） A ．z 的虚部为i - B ．z =C ．22z i = D ．z 的共轭复数为1i +【答案】BC 【分析】先求出复数z ，然后根据复数的相关概念及运算法则对各选项逐一分析即可求解. 【详解】解：因为复数()11z i i i =-+=--，所以z 的虚部为1-，故A 选项错误；z B 选项正确；()2212z i i =--=，故C 选项正确；z 的共轭复数为1i -+，故D 选项错误；故选：BC.37．（云南省曲靖市罗平县第二中学2020-2021学年高一下期期末测试数学试题）已知复数21iz =+，则正确的是（ ） A ．z 的实部为﹣1 B ．z 在复平面内对应的点位于第四象限 C ．z 的虚部为﹣i D ．z 的共轭复数为1i +【答案】BD 【分析】根据复数代数形式的乘除运算化简，结合复数的实部和虚部的概念、共轭复数的概念求解即可. 【详解】 因为22(1i)1i 1i (1i)(1i)z -===-++-， 所以z 的实部为1，虚部为-1，在复平面内对应的点为(1，-1)，在第四象限， 共轭复数为1i z =+， 故AC 错误，BD 正确. 故选：BD.38．（河北省唐山市英才国际学校2020-2021学年高一下学期期中数学试题）复数1i z =-，则（ ） A ．z 在复平面内对应的点的坐标为()1,1- B ．z 在复平面内对应的点的坐标为()1,1 C ．2z = D ．z =【答案】AD 【分析】利用复数的几何意义，求出复数对应的点坐标为()1,1-，即可得答案； 【详解】1i z =-在复平面内对应的点的坐标为()1,1-，z =故选：AD.39．（2021·湖北·高三月考）设1z ，2z 是复数，则（ ） A ．1212z z z z -=-B ．若12z z ∈R ，则12z z =C ．若120z z -=，则12z z =D ．若22120z z +=，则120z z ==【答案】AC 【分析】结合共轭复数、复数运算等知识对选项逐一分析，由此确定正确选项. 【详解】设1i z a b =+，2i z x y =+，a ，b ，x ，y ∈R ，12()()i ()()i z z a x b y a x b y -=-+-=---12i (i)a b x y z z =---=-，A 成立； ()()12i 0z z a x b y -=-+-=，则22()()0a x b y -+-=，所以a x =，b y =，从而12z z =，所以12z z =，C 成立；对于B ，取1i z =，22i z =，满足12z z ∈R ，但结论不成立；对于D ，取1i z =，21z =，满足22120z z +=，但结论不成立.故选：AC.40．（2021·山东临沂·高三月考）已知m ，n R ∈，复数2i z m =+，()235i i z z n +=+，则（ ） A ．1m =- B ．1n =C ．i m n +=D ．m ni +在复平面内对应的点所在象限是第二象限【答案】ACD 【分析】由题意得()()23225mi mi ni i +++=+，即()2655m mi n i -+=-，由复数相等求出,m n ，然后逐个选项分析判断. 【详解】因为复数2i z m =+，()235i i z z n +=+ 所以()()23225mi mi ni i +++=+()2655m mi n i -+=-所以2655m n m ⎧-=⎪⎨=-⎪⎩，即51n m =⎧⎨=-⎩，所以A 正确，B 错误；m ni +C 正确；m ni +在复平面内对应的点为()1,5-，所在象限是第二象限，故D 正确.故选：ACD.第II 卷（非选择题）三、填空题41．（山西省新绛中学2022届高三上学期10月月考数学（文）试题）已知1?21z i +=，则z 的最大值为_______.【答案】1 【分析】根据复数的几何含义，求解出z 的实部和虚部满足的关系式，再结合复数模的几何含义即可得出结果. 【详解】设()i ,z x y x y R =+∈， ()12i 12i 1z x y ∴+-=++-=即()()22121x y ++-=，所以点 (),x y 在以()1,2-为圆心，1为半径的圆上z z 表示点(),x y 到原点的距离， 所以原点与圆上的一点距离的最大值即表示z 的最大值所以11MAXz =1.42．（北京市第十三中学2022届高三上学期期中考试数学试题）在复平面内，复数z 所对应的点的坐标为(1,1)-，则z z ⋅=_____________.【答案】2 【分析】由已知求得z ，进一步得到z ，再根据复数代数形式的乘法运算法则计算可得． 【详解】解：由题意，1i z =-，∴1i z =+，2(1i)(1i)1i 2z z ∴⋅=-+=-=．故答案为：2．43．（安徽省合肥市庐阳高级中学2020-2021学年高三上学期10月第一次质检理科数学试题）复数z 满足22i z z =++，则1i z -+的最小值为___________.【分析】设复数i z a b =+，代入题干条件后求出a 与b 的关系，再代入到1i z -+的关系式中，求出最小值. 【详解】设复数i z a b =+，则z ，()22i 22i z a b ++=+++，22i z ++，因为22i z z =++2a b =--，则()()1i=11i z a b -+-++，1i z -+①，把2a b =--代入①式中，得：i 1z +-当2b =-1i z -+44．（广东省湛江市第二十一中学2022届高三上学期9月第2次月考数学试题）已知复数3i 1iz +=+，则z =__________．【分析】根据复数除法运算化简求出z ，即可求出模. 【详解】 ()()()()3i 1i 3i 42i2i 1i 1i 1i 2z +-+-====-++-，z ∴==.45．（天津市第二中学2021-2022学年高三上学期期中数学试题）若复数z 满足ii i1z +=（i 为虚数单位），则z =_____．【分析】根据复数的运算直接求出z 的代入形式，进而可得模. 【详解】 解：由已知21i1i iz +==--，z ∴==.46．（上海市交通大学附属中学2022届高三上学期10月月考数学试题）若复数z 满足3iiz +=（其中i 是虚数单位），z 为z 的共轭复数，则z =___________.【分析】利用复数的除法化简复数z ，可得出z ，再利用复数的模长公式可求得结果. 【详解】()223i i 3i 3i i 3i 113i i i i 1iz +++-=====-⋅-，所以，13i z =+，因此，z =47．（上海市向明中学2022届高三上学期9月月考数学试题）已知复数()()()13i 1i 12i z +-=-，则z=___________. 【答案】2 【分析】直接利用复数代数形式的乘除运算化简复数z ，再由复数求模公式计算得答案． 【详解】 解：()()()()()()13i 1i 42i 12i 42i 10i2i 12i12i 12i 12i 5z +-+++=====---+， 则2z z ==. 故答案为：2.48．（双师301高一下）若复数()i z a a =+∈R 与它的共轭复数z 所对应的向量互相垂直，则a =_______． 【答案】±1 【分析】利用数量积为0列方程，解方程求得a . 【详解】z a i =+对应坐标为(),1a ，z a i =-对应坐标为(),1a -，依题意()()2,1,110a a a ⋅-=-=， 解得1a =±. 故答案为：±1.49．（2021·上海·格致中学高三期中）定义运算()(),,a b c d ad bc =-，则满足()(),1,232i z z =+的复数z =______.【答案】23i 3+【分析】设i z a b =+，然后根据定义直接化简计算即可. 【详解】设i z a b =+，所以i z a b =- 由()(),,a b c d ad bc =-所以()(),1,223i=32i z z z z a b =-=++所以23,3a b ==所以23i 3z =+故答案为：23i 3+.50．（2021·全国·高三月考（理））已知复数z 满足||||z i z i ++-=z 的最小值是_______． 【答案】1 【分析】根据复数的几何意义，得到||||z i z i ++-=z 在椭圆2212y x +=上，结合椭圆的性质，即可求解. 【详解】由复数的几何意义，可得||||z i z i ++-=z 在椭圆2212y x +=上， 而z 表示椭圆上的点到椭圆对称中心()0,0的距离，当且仅当复数z 位于椭圆短轴端点(1,0)±时，z 取得最小值，z 的最小值为1． 故答案为：1．任务二:中立模式(中档)1-30题一、单选题1．（云南省昆明市第一中学2022届高三上学期第三次双基检测数学（理）试题）已知i 为虚数单位，则232021i i i i +++⋅⋅⋅+=（ ）A ．iB ．i -C ．1D ．-1【答案】A 【分析】根据虚数的运算性质，得到4414243i i i i 0n n n n ++++++=，得到2320212021i i i i i +++⋅⋅⋅+=，即可求解. 【详解】根据虚数的性质知4414243i i i i 1i 1i 0n n n n ++++++=+--=， 所以2320212021i i i i 5050i i +++⋅⋅⋅+=⨯+=. 故选：A.2．（辽宁省名校联盟2021-2022学年高三上学期10月联合考试数学试题）已知复数202120221111i i i i z -+⎛⎫⎛⎫=+ ⎪ ⎪+-⎝⎭⎝⎭，则z 的共轭复数z =（ ）A ．1i +B ．1i -C ．1i -+D ．1i --【答案】C 【分析】先利用复数的乘方化简复数z ，再求其共轭复数. 【详解】因为21(1)21(1)(1)2i i i i i i i ---===-++-，21(1)21(1)(1)2i i i i i i i ++===--+，所以20212022=(i)+i =i 1=1i z -----， 则1i z =-+，3．（上海市曹杨第二中学2022届高三上学期10月月考数学试题）设b 、c ∈R ，若2i -（i 为虚数单位）是一元二次方程20x bx c ++=的一个虚根，则（ ） A ．4b =，5c = B ．4b =，3c = C ．4b =-，5c = D ．4b =-，3c =【答案】C 【分析】分析可知实系数一元二次方程20x bx c ++=的两个虚根分别为2i -、2i +，利用韦达定理可求得b 、c 的值，即可得解. 【详解】因为2i -是实系数一元二次方程20x bx c ++=的一个虚根，则该方程的另一个虚根为2i +， 由韦达定理可得()()()()2i 2i 2i 2i b c -++=-⎧⎪⎨-+=⎪⎩，所以45b c =-⎧⎨=⎩.故选：C.4．（第3章本章复习课-2020-2021学年高二数学（理）课时同步练（人教A 版选修2-2））若1是关于x 的实系数方程20x bx c ++=的一个复数根，则（ ） A ．2,3b c == B ．2,1b c ==- C ．2,1b c =-=- D ．2,3b c =-=【答案】D 【分析】把1x =代入方程，整理后由复数相等的定义列方程组求解. 【详解】由题意1是关于x 的实系数方程20x bx c ++=∴2(1(10b c +++=，即()1i 0b c -+++= ∴10b c -++=⎧⎪⎨=⎪⎩，解得23b c =-⎧⎨=⎩.5．（专题1.3集合与幂指对函数相结合问题-备战2022年高考数学一轮复习一网打尽之重点难点突破）设集合{}22||cos sin |,M y y x x x R ==-∈，|1N x =<⎧⎫⎨⎬⎩⎭，i 为虚数单位，x ∈R ，则M ∩N 为（ ） A ．（0，1） B ．（0，1]C ．[0，1）D ．[0，1]【答案】C 【分析】M 集合表示cos2y x =的值域，N 集合表示不等式1<的解集，先分别求出来再求其交集即可【详解】22|cos sin |cos 2y x x x =-=，其值域为[]0,1，所以[]0,1M =.因为1<，所以1x <，解得11x -<<，即()1,1N =-.所以M ∩N=[)0,1 故选：C.6．（考点38复数-备战2022年高考数学一轮复习考点帮（新高考地区专用））若2ii(,,)1ia x y a x y +=+∈+R ，且1xy >，则实数a 的取值范围是（ ） A ．)+∞B ．(,)-∞-⋃+∞C ．()-⋃+∞ D ．(,2)(2,)-∞-+∞【答案】B 【分析】根据复数的乘法运算和相等复数的性质，求出,x y ，再根据1xy >，得出2414a ->，从而可求出a 的取值范围. 【详解】 解：因为2ii(,,)1ia x y a x y +=+∈+R ， 所以2i ()i a x y x y +=-++， 所以2x y x y a -=⎧⎨+=⎩，解得：22,22a a x y +-==，因为1xy >，所以2414a ->，解得：a <-a >， 则实数a 的取值范围是(,)-∞-⋃+∞. 故选：B.7．（四川省成都市树德中学2021-2022学年高三上学期入学考试文科数学试题）已知复数()2231i z a a a =-+-，R a ∈，则“0a =”是“z 为纯虚数”的（ ） A ．充分不必要条件 B ．必要不充分条件 C ．充分必要条件 D ．既不充分也不必要条件【答案】A 【分析】根据纯虚数的定义求出a 的值，再由充分条件和必要条件的定义即可求解. 【详解】若复数()2231i z a a a =-+-为纯虚数， 则223010a a a ⎧-=⎪⎨-≠⎪⎩，解得：0a =或3a =，所以由0a =可得出()2231i z a a a =-+-为纯虚数， 但由()2231i z a a a =-+-为纯虚数，得不出0a =， 所以“0a =”是“z 为纯虚数”的充分不必要条件， 故选：A.8．（第25讲数系的扩充与复数的引入（练）-2022年高考数学一轮复习讲练测（课标全国版））设复数1i1iz -=+，()202020191f x x x x =++++，则()f z =（ ）A ．iB ．i -C ．1D ．1-【答案】C 【分析】利用复数的除法化简得出i z =-，然后利用复数的乘方法则可求得结果. 【详解】()()()21i 1i 2ii 1i 1i 1i 2z ---====-++-， 又因为()4i 1-=，对任意的k 、n Z ∈，()()()()44i i i i n k n k k +-=-⋅-=-， 而()()()()234i i i i i 1i 10-+-+-+-=--++=， 因此，()()()()()20202019i i i i 1505011f z f =-=-+-++-+=⨯+=.故选：C.9．（河北正中实验中学2021届高三上学期第二次月考数学试题）棣莫弗定理：若两个复数111cos isin z θθ=+，222cos isin z θθ=+，则()()121212cos isin z z θθθθ⋅=+++，已知1i2a +，2021b a =，则a b +的值为（ ）A ．i - B ．i C ．D 【答案】B 【分析】推导出()111cos isin nz n n n N θθ*=+∈，求出b 的值，即可得出a b +的值.【详解】由已知条件可得2111cos 2isin 2z θθ=+，()()32111111111cos 2isin 2cos3isin 3z z z θθθθθθ==+++=+，，以此类推可知，对任意的n *∈N ，111cos isin n z n n θθ=+，31i cos isin 2266a ππ=+=+， 所以，202120212021cos isin cos 337isin 3376666b a ππππππ⎛⎫⎛⎫==+=-+- ⎪ ⎪⎝⎭⎝⎭1cosisini 662ππ=-+=， 因此，i a b +=. 故选：B.10．（第25讲数系的扩充与复数的引入（讲）-2022年高考数学一轮复习讲练测（课标全国版））欧拉公式i co sin s i x e x x +=(i 是虚数单位)是由瑞士著名数学家欧拉发现的，它将指数函数的定义域扩大到复数，建立了三角函数和指数函数的关系，它在复变函数论里非常重要，被誉为“数学中的天桥”.根据欧拉公式可知，i3e π表示的复数位于复平面中的（ ）A ．第一象限B ．第二象限C ．第三象限D ．第四象限【答案】A 【分析】先由欧拉公式计算可得i312e π=+，然后根据复数的几何意义作出判断即可.【详解】根据题意i co sin s i x e x x +=，故i3isin 1cos 332e πππ==+，对应点12⎛ ⎝⎭，在第一象限.故选:A.11．（山东省济宁邹城市2021-2022学年高三上学期期中考试数学试题）定义运算a bad bc c d=-，若复数z 满足i 11i 1z z -=-，则z =（ ） A ．1i +B ．1i -C ．i -D ．i【答案】D 【分析】直接利用新定义，化简求解即可. 【详解】 由a bad bc c d=-， 则i 1i 1i 1z z z z -=+=-， ()()()2i 11i 2ii i 1i 1i 12z ---∴====-++--，则i z =.故选：D.12．（上海市徐汇中学2022届高三上学期期中数学试题）已知方程()20x x m m R ++=∈有两个虚根,αβ，若3αβ-=，则m 的值是（ ） A ．2-或52B ．2-C ．52 D ．52-【答案】C 【分析】由于是,αβ虚根，所以方程判别式小于0，且,αβ是一对共轭复数，因此可以通过设出复数，通过韦达定理代入条件解出参数 【详解】由已知方程有两个虚根,αβ，因此方程判别式小于0，即.1140,4m m -<>, 设=i,i a b a b αβ+=-由韦达定理可知1m αβαβ+=-=， 所以2221,a a b m =-+=, 即214m b =+3αβ-=, 即2i 3b =, 所以239,24b b ==所以915442m =+= 故答案为：C.13．（专题12.3复数的几何意义（重点练）-2020-2021学年高一数学十分钟同步课堂专练（苏教版2019必修第二册））若z 是复数，|z +2-2i|＝2，则|z +1-i|+|z |的最大值是（ ） AB ．C ．2D ．4【答案】D 【分析】设z ＝x +y i （x ，y ∈R ），由题意可知动点(),P x y 的轨迹可看作以()2,2C -为圆心，2为半径的圆，|z +1-i|+|z |可看作点P 到()1,1A -和()0,0O 的距离之和，然后即可得到P ，A ，O 三点共线时|z +1-i|+|z |取得最大值时,从而可求出答案. 【详解】设z ＝x +y i(x ，y ∈R)，由|z +2-2i|＝2知，动点(),P x y 的轨迹可看作以()2,2C -为圆心，2为半径的圆， |z +1-i|+|z |可看作点P 到()1,1A -和()0,0O 的距离之和， 而|CO |＝|CA |易知当P ，A ，O 三点共线时，|z +1-i|+|z |取得最大值时， 且最大值为|PA |+|PO |＝(|CA |+2)+(|CO |+2)＝4， 故选：D ．14．（专题07复数-备战2022年高考数学一轮复习核心知识全覆盖（新高考地区专用））如果复数z 满足|z ＋i|＋|z －i|＝2，那么|z ＋i ＋1|的最小值是（ ） A ．1 B ．12C ．2D【答案】A 【分析】直接利用复数模的几何意义求出z 的轨迹．然后利用数形结合求解即可． 【详解】解：|i ||i |2Z Z ++-=∴点Z 到点(0,1)A -与到点(0,1)B 的距离之和为2． ∴点Z 的轨迹为线段AB ．而|i 1|Z ++表示为点Z 到点C (1,1)--的距离． 数形结合，得最小距离为1 所以|z ＋i ＋1|min ＝1. 故选：A.15．（百师联盟2021届高三二轮复习联考（三）数学（理）全国Ⅰ卷试题）已知i 是虚数单位，复数z 的共轭复数为z ，下列说法正确的是（ ） A ．如果12z z +∈R ，则1z ，2z 互为共轭复数B ．如果复数1z ，2z 满足1212z z z z +=-，则120z z ⋅=C ．如果2z z =，则1z =D ．1212z z z z = 【答案】D 【分析】对于A ，举反例11i z =+，22i z =-可判断；对于B ，设111i z a b =-，222i z a b =+代入验证可判断；对于C ，举反例0z =可判断；对于D ，设1i z a b =+，2i z c d =+，代入可验证. 【详解】对于A ，设11i z =+，22i z =-，123z z +=∈R ，但1z ，2z 不互为共轭复数，故A 错误； 对于B ，设111i z a b =-（1a ，1b ∈R ），222i z a b =+（2a ，2b ∈R ）．由1212z z z z +=-，得()()()()222222121212121212z z a a b b z z a a b b +=+++=-=-+-，则12120a a b b +=，而()()()()()12112212121221121221i i i 2i z z a b a b a a b b a b a b a a a b a b ⋅=++=-++=++不一定等于0，故B 错误；对于C ，当0z =时，有2z z =，故C 错误； 对于D ，设1i z a b =+，2i z c d =+，则1212z z z z ==，D 正确故选：D.16．（黑龙江省哈尔滨市第六中学2021届高三第四次模拟数学（理）试题）设z 为复数，则下列命题中错误的是（ ） A ．2z zz = B ．若1z =，则i z +的最大值为2 C ．22z z =D ．若11z -=，则02z ≤≤【答案】C 【分析】根据复数的概念和运算以及几何意义，逐项分析判断即可得解. 【详解】设()i ,z a b a b =+∈R ，则i z a b =-，222222(i)(i)i z z a b a b a b a b z =+-=-=+=⋅，故A 正确；由1z =，得221(11)a b b +=-≤≤，则i z += 当1b =时，i z +的最大值为2，故B 正确；2222(i)2i z a b a b ab =+=-+，222z a b =+，2z 与2z 不一定相等，故C 错误；满足11z -=的z 的轨迹是以()1,0为圆心，以1为半径的圆，如图所示， 则02z ≤≤，故D 正确． 故选：C ．17．（陕西省汉中市2021-2022学年高三上学期第一次校际联考文科数学试题）设复数1z ，2z 满足121z z ==，1212z z -=-+，则12z z +=（ ）A ．1B ．12CD 【答案】D 【分析】利用性质2||z zz =，结合已知求出2112z z z z +，再由2121212()()z z z z z z ++=+即可求12z z +. 【详解】由题设，121212112122122|()()|1z z z z z z z z z z z z z z -=-+-=--=，又121z z ==，。
黑龙江省大庆实验中学2019_2020学年高一英语下学期第一次阶段考试试题【含答案】
黑龙江省大庆实验中学2019-2020学年高一英语下学期第一次阶段考试试题说明：答题时间90分钟，卷面总分120分第一部分完形填空（共20小题；每小题1.5分，满分30分）Fifty years ago on a hot July 4th afternoon, an agent showed us a house in the South Farmingdale--North Massapequa area. My husband and I liked the house. The price was __1__ our reach. So we made our decision to buy it.But there was one issue. It was a corner property (房产). We both agreed there had to be a __2__. So after moving in, my husband put up a fence and I painted it __3__.There have been many__4__ in our lives since that fence went up. Our four children have grown up and __5__. Most of the old __6__ have been replaced with new ones. __7__ , the fence remains, and at the moment, so do I.The fence has been __8__ more often than I can remember. Most times a broken board or two was __9__ repaired. During the past ten years, it has been repainted professionally.But more __10__, the white fence had turned green with mildew (霉菌). The boards were too old to paint. So this spring I had it rebuilt and repainted. Within a week, however, I was__11__ to discover that a part of it was destroyed.A post (桩) was __12__ and some boards were left lying on the ground. 1 don’t know who or what did this.The fence is __13__ a thing, not a life, but for the first time in the years I had spent on my corner, I felt defeated (被打败). I felt as if possibly there was a(n)__14__: Time to move on, stop trying. Defeat is not usually part of my make-up. This time it was.As I was taking a photo of the damage for a police report, a young man __15__me from across the street. He __16__ himself as a relatively new neighbor, and offered sympathy (同情) for the__17__. I appreciated meeting him, and also his __18__.The next evening as I ate my dinner, I heard a __19__ outside. When I walked into the yard, I realized the sounds came from my property. As I walked closer, Isaw the neighbor I had just__20__ repairing my fence.There were still warm-hearted people who loved our community and reached out to a stranger in my time of need.1. A. below B. beyond C. within D. between2. A. fence B. garden C. wall D. farm3. A. red B. yellow C. white D. green4. A. decisions B. changes C. stories D. chances5. A. moved out B. come back C. settled down D. turned around6. A. friends B. classmates C. neighbors D. workmates7. A. Thus B. Therefore C. Besides D. However8. A. replaced B. repaired C. removed D. cleaned9. A. hurriedly B. gradually C. suddenly D. easily10. A. recently B. importantly C. secretly D. seriously11. A. worried B. nervous C. shocked D. excited12. A. fixed B. found C. dropped D. broken13. A. just B. still C. also D. ever14. A. order B. message C. note D. reply15. A. greeted B. passed C. approached D. called16. A. introduced B. expressed C. regarded D. described17. A. cause B. mistake C. difficulty D. damage18. A. promise B. idea C. help D. understanding19. A. conversation B. noise C. voice D. laugh20. A. noticed B. met C. caught D. recognized第二部分阅读理解(共两节，满分26分)第一节 (共8小题；每小题2分，满分16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。
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A．Malawi.B．Morocco.C．Egypt.D．Senegal.
2．When is the best time to see the pinkest lake?
A．July.B．September.C．October.D．January.
Jane Austen is very clear. It’s for a reason we tend not to think of very much today: It is because each can educate and improve the other. When Mr. Darcy arrives in the neighborhood, he feels “superior” to everyone else, because he has more money and higher status. At a key moment, Elizabeth condemns his arrogance (自大) and pride to his face. It sounds offensive in the extreme, but later he admits that this was just what he needed.
InPride and Prejudice, Mr. Darcy and Elizabeth Bonnet start off heartily disliking each other and then, gradually realize they are in love. They make one of the great romantቤተ መጻሕፍቲ ባይዱc couples. He is handsome, rich and well connected; she is pretty, smart and lively. But why actually are they right for one another?
Nyika Plateau National Park, Malawi
With a plateau cut by numerous rivers that reach Lake Malawi by way of waterfalls off the eastern edge of the mountains, Nyika, the largest national park in Malawi, is one of the most beautiful in Africa. The eastern border of the plateau forms the wall of the Great Rift Valley. The great domes of hills have gentle slopes, making Nyika perfect for both hiking and mountain biking as well as Jeep exploration.
3．What makes Nyika one of the most beautiful parks in Africa?
A．Plants.B．Animals.C．Waters.D．Sports.
Jane Austen is loved mainly as a charming guide to fashionable life in the Regency period (英国摄政时期). She is admired for describing a world of elegant houses, dances, servants and fashionable young men driving barouches (四轮四座大马车). But her own vision of her task was completely different. She was an ambitious and strict moralist. She was highly conscious of human failings and she had a deep desire to make people nicer: less selfish, more reasonable and more sensitive to the needs of others.
Lake Retba (Lac Rose), Senegal
There are few pink lakes in the world and one of them, Lake Retba, also called Lac Rose by locals is in the Cap-Vert peninsula in Senegal. The best times to see the lake at its pinkest is during Senegal’s dry season, between November and June.
Sahara Dunes, Morocco
The most user-friendly part of the Sahara is accessible from the northern edge of Morocco. You can camp out in Tazzarine, where runners from all over the world complete the weeklong Marathon every spring. The foot of the Merzouga Dunes is the best location for gazing at stars, totally free of light pollution.
The most famous of the structures at Giza, near Cairo, the Pyramid of King Khufu was built around 2650 BC from 2.5 million blocks of stone. Its sides face north, south, east and west.
黑龙江省大庆市2019~2020学年高三第一次联考
英语试题
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2．请将答案正确填写在答题卡上。
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一、阅读理解
Africa’s Most Amazing Places to Visit
Pyramids of Giza, Egypt