湖南省长沙市一中高三第六次月考英语2

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湖南省长沙市第一中学2023-2024学年高三上学期第二次月考英语试题

湖南省长沙市第一中学2023-2024学年高三上学期第二次月考英语试题

湖南省长沙市第一中学2023-2024学年高三上学期第二次月考英语试题学校:___________姓名:___________班级:___________考号:___________一、阅读理解“Unfortunately, 85 percent of what makes us attractive or less to mosquitoes(蚊子) is hardwired in our genetic circuit board,” says Winegard, author of The Mosquito: A Human History of Our Deadliest Predator. Still, there are ways to outsmart summer’s most annoying party crashers, especially if all you want is to enjoy an evening on your patio (露台).Know your blood typeOnly female mosquitoes feed on humans, and for good reason: The proteins in your blood help them grow and mature their eggs. “She’s just being a good mom,” Wineguard says. “People with blood type O are her top of choice. They get bitten twice as much as people with blood type A, with blood type B falling in between.”Stay cool“Mosquitoes hunt by both smell and sight,” Wineguard says. “They can smell the carbon dioxide and see the heat signature of their target.” Avoiding alcohol can keep your body temperature lower— making you harder to find — so consider choosing a cocktail instead.Wear light colorsAvoiding dark clothing can also keep you cooler, but that’s not the only reason it may offer relief. Mosquitoes, like many biting flies, are attracted to darker colors. The thinking behind this is that the animals they typically feed upon are larger, dark-bodied mammals(哺乳动物).Get rid of standing waterEven a glass of drinking water left on the deck can become a breeding ground for mosquito eggs — and mother mosquitoes lay about 100 eggs at a time. “They don’t need very much at all to breed. It can be a backyard toy , like a truck that has a bit of water in it, or a crushed pop can,” says Winegard. If you get rid of it, they’ll go somewhere else to lay their eggs.1.What’s the intention of this text?A.To introduce a new book.B.To offer professional tips.C.To analyze a study of insects.D.To suggest throwing a party.2.Why does a female mosquito feed on human blood?A.To hatch more eggs.B.To raise a large family.C.To identify blood types.D.To fully develop her body.3.What can we learn about mosquitoes according to Winegard?A.They can trace the smell of alcohol.B.They have energy-locating abilities.C.They feed off dark-bodied animals.D.They need abundant water to breed.The Malaysian actress, Michelle Yeoh, 60, shared some wisdom with the American Film Institute’s newest graduating class in a speech as she accepted an honorary doctorate of fine arts at the class of 2022 graduation ceremony.She recalled her early years in the industry. After an injury dashed her dreams of going into ballet, Yeoh bounced back at a gym where several stuntmen(特技替身演员)trained and ended up learning some tricks of the trade from them.“The first thing they taught me what to do was to tuck and roll, then how to fall on my side, and then how to fall on my back. And after a while, it dawned on me that they were teaching me how to fall,” she recalled. “And they said to me, ‘How are you going to go up if you don’t know how to come down?’” “That lesson sticks with me to this day. I had to learn how to fall. Well, you could say I learned it in my bones, literally,” Yeoh added.The actress mentioned jumping off a 20-foot highway overpass for one stunt, in which she over-rotated (旋转), causing her back to fold in half and a stunt went wrong. “I didn’t land properly, but I completed the scene,” she said.“These moments taught me perseverance, courage and humility,” she said. “They also taught me to hone my skills and eventually progress to the point where I was running on rooftops and jumping onto moving trains. I’m not asking you all to do that, okay? What I want to share with you today is that our slips and stumbles(绊跌)are the secrets to our flight. Trust me, that’s part of the deal. Success without failure is called luck. It cannot really be repeated or relied upon. It is from failure that we learn and grow,” Yeoh continued.The Crazy Rich Asians star concluded her speech: “Be courageous, take chances, break barriers, be proud of what makes you unique.” “And most importantly, don’t be afraid to fall, for you are learning to fly,” Yeoh said.4.What can we learn about Michelle Yeoh from the first two paragraphs?A.She was tricked by several stuntmen.B.She was passionate about working out in a gym.C.She won a doctor’s degree in fine arts despite her old age.D.She was terribly defeated by an injury and discouraged in her early years.5.What lesson did Michelle Yeoh learn from the stuntmen?A.God helps those who help themselves.B.Misfortune might be a blessing in disguise.C.Successful people are learning experiences with others.D.The greatest glory is not in never falling, but in rising every time we fall.6.What does the underlined word “hone”in paragraph 5 mean?A.Believe.B.Sharpen.C.Restore.D.Dominate. 7.What are the keys to our success according to the text?A.Mistakes and failure.B.Luck and humility.C.Courage and pride.D.Opportunities and skills.“It’s a natural question,”Dr. Holt-Lunstad said the “ideal”number of friends. “Just like we have guidelines and recommendations for the amount of sleep we get and how physically active we are, this is health relevant.” While she and other friendship researchers admit there aren’t many studies that have specifically tackled the question of how many friends people should aim for, those that have been done offer a range.Dr. Degges-white recently conducted a survey of 297 adults, which has not been published or subject to peer review but found that 55 percent of participants believed two to three close friends was ideal, while 31 percent thought four to six was was the goal. But friendship and intimacy are subjective, and there isn’t a widely used scale researchers share to define those concepts across studies. It’s also unclear how social media factors into all of this, as research suggests the size of a person’s online network may not have any meaningful impact on their perceived well-being.While friendship research offers some standards, it may be more useful for most of us to consider if you need more friends. Dr. Marisa Franco recommends starting with a fairly obvious but powerful question: Do I feel lonely? “Also, different people bring out different parts of us. So when you have a larger friend group, you’re able to experience this side of yourself that loves golf, and this side that loves cars,” she added. “If you feel like your identity has sort of shrunk, or you’re not feeling quite like yourself, that might indicate youneed different types of friends.”Of course, making friends in adulthood isn’t always easy. Research shows people struggle with it because they find it difficult to trust new people. For those reasons, it is often easier to start by reawakening old relationships. The amount of time you actually spend with your friends matters, too. Franco suggests that on average, very close friendships tend to take around 200 hours to develop. But spending time with friends you feel ambivalent (情绪复杂的) about — because they’re unreliable, critical, competitive or any of the many reasons people get under our skin — can be bad for your health.8.Which statement would Dr. Holt-Lunstad probably agree with?A.Healthy friendships contribute to quality sleep.B.There have been guidelines for making friends.C.Two to six close friends may be the most ideal.D.Friendships can be crucial factor in well-being.9.How was Dr. Degges-White’s survey?A.It summarized the statistics in previous studies.B.It set standards on the exact number of friends.C.It distinguished between friendship and intimacy.D.It dismissed the influences of social media factors.10.According to Franco, you have to make new friends if _________.A.your friend circle is large enough B.you have a wide range of hobbiesC.your personal identities are restricted D.you lead an unhappy adulthood life 11.What matters in maintaining close friendships according to Franco?A.Quantities of time.B.Meeting frequency.C.Your healthy moods.D.Personalities of friends.Many robots track objects by “sight” as they work with them, but optical (视觉的) sensors can’t take in an item’s entire shape when it’s in the dark or partially blocked from view. Now a new low-cost technique lets a robotic hand “feel” an unfamiliar object’s form — and skillfully handle it based on this information alone.Roboticist, Xiaolong Wang in University of California, San Diego and his team wanted to find out if complex coordination (协调) could be achieved in robotics using only simple touch data. The researcher attached 16 contact sensors, each costing about $12, to the palmand fingers of a four -fingered robot hand. These sensors simply indicate if an object is touching the hand or not. “While one sensor doesn’t catch much, a lot of them can help you capture different aspects of the object,” Wang says. In this case, the robot’s task was to rotate (旋转) items placed in its palm.The researchers first connected a large volume of touch data as a virtual robot hand practiced rotating objects, including ball. Using binary contact information (“touch” or “no touch”) from each sensor, the team built a computer model that determines an object’s position at every step of the handling process and moves the fingers to rotate it smoothly and stably.Next they transferred this capability to operate a real robot hand, which successfully manipulated (操纵) previously unencountered objects such as apples, tomatoes, soup cans and rubber ducks. Transferring the computer model to the real world was relatively easy because the binary sensor data were so simple; the model didn’t rely on accurate measurements.Digging into what the robot hand perceives, Wang and his colleagues found that it can re-create the entire object’s form from touch data, informing its actions. He and his team are set to present thier handiwork at an international conference called Robotics: Science and Systems.New York University’s Lerrel Pinto, who studies robots’ interactions with the real world, wonders whether the system would become less effective at more complicated tasks including opening a bottle cap. Wang’s group aims to tackle more complex movements in future work as well as to add sensors in places such as the sides of the fingers. The researchers will also try adding vision to improve touch data for handling complicated shapes.12.What may contribute to the ineffectiveness of the optical sensors?A.Poor visibility.B.Blocked roads.C.Complicated tasks.D.Inaccurate calculation.13.What do paragraphs 3-4 focus on?A.Stimulating the robot fingers to move the items steadily.B.Increasing the precision of touch of the robot hand.C.Comparing the computer world with the real circumstances.D.Testing if touch information can facilitate the formation of the object shape. 14.What is the attitude of Lerrel Pinto towards the system?A.Neutral.B.Suspicious.C.Favorable.D.Pessimistic.15.What is the best title for the text?A.Robotics: Science and SystemB.New Robot Rotates Items SkillfullyC.New Robot Hand Works by Feel, Not SightD.From the Computer Model to the Real Robot Hand二、七选五Which is more important for people, book learning or experience? Some have spent their lives studying and gradually acquiring valuable deep knowledge. They are afraid to start andthe book, make mistakes, and learn from this experience.The debate between book learning and experience has been going on for a long time. There is no clear “right answer” yet, but there is strong evidence that experience gives us important skills that can’t be learned in books.17 Of course, reading the best books on learning gives someone knowledge, but experience gives know-how. It comes from practicing again and again. Professionals can make themselves because they devote their work, practice, and time to obtaining this position instead of managing to read books only. This distinguishes them from all the others.Reading more books about something doesn’t lead to success. You can acquire a lot of knowledge by reading, but there are also ways to accumulate knowledge through experience. Knowledge is theoretical, but experience is distinguished by the fact that you can put into practice what you have learned in a book. 18Book learning to understand a concept is important. But if you can’t understand the application of the concept in real time, the concept is useless. Experience allows you to put the learned concepts into practice. 19 You can’t effectively learn important skills without applying these concepts to real life.Certainly, the experience can lead to failure. But you can also learn from that failure and lead to success. 20 Therefore, experience is your greatest ally(盟友) in professional development if you want to understand the theory behind the concept, become an expert inthis field, keep the technique in mind, and gain valuable insights through failure.A.In contrast, others don’t worry about anything.B.You can learn a lot from books on self-learning.C.Of course, with these concepts, experience is acquired.D.This is valuable knowledge that is not found in any book.E.It is also an opportunity to test and challenge your knowledge.F.Through experience, you can also learn how to interact with people.G.Neither scientists nor doctors have read books only and become experts.三、完形填空Growing up in New Delhi, I saw Barbie as more than just a doll. She was the centralbedroom floor.As much as I loved Barbie, our time together could only last so long. Eventually, I grew 23 that I still played with my Barbie dolls while my middle-school friends had all moved onto more “mature” 24 . Barbie became similar with being a fake, “plastic” girl, whose bright pink clothing 25 my friends and me.By the tender age of 12, my friends and I had become 26 all girlish things, and Barbie topped our list of items to grow out of. Every 27 we took up instead seemed either gender-neutral or traditionally masculine (男子气概). For a 28 period I took up watching football to look cool (say exactly a month).Looking back, I feel like we were missing the point: Barbie was simply a blank canvas upon which to draw our ideas. It was our own 29 that we had come to abuse her for wearing pink clothes and having blond hair. That is why I appreciate the way the Barbie movie is being 30 . The movie 31 and Barbie’s bright pink colors are everywhere — there are 100 or more co-brand products, and you can get everything Barbie-pink from sports facilities to make-up and shoes. In Malibu, there is a pink hotel 32 after Barbie’s pink Dream House.In an interview, the director Gerwig said the team had many meetings just to settle on the correct 33 of pink for the movie — one that was beautiful but “not too fashionable”, she said, “because when I was a little girl, I loved the pinkest, brightest things”,without a hint of the 34 that I and my peers had of Barbie all those years ago, which would have been really important to me as an adolescent girl who often felt 35 in her femininity (女子气质).21.A.theme B.character C.argument D.conflict 22.A.assigned B.gathered C.created D.staged 23.A.embarrassed B.satisfied C.curious D.aware 24.A.peers B.hobbies C.ladies D.companies 25.A.involved B.caught C.offended D.connected 26.A.worried about B.passionate for C.content with D.dismissive of 27.A.appointment B.journey C.recreation D.challenge 28.A.difficult B.contemporary C.brief D.spare 29.A.fault B.memory C.experience D.selection 30.A.marketed B.captured C.illustrated D.filmed 31.A.settings B.promotions C.results D.witnesses 32.A.operated B.managed C.organized D.modeled 33.A.symbol B.design C.image D.shade 34.A.imagination B.judgment C.ignorance D.appreciation 35.A.interrupted B.sympathetic C.unsettled D.familiar四、用单词的适当形式完成短文阅读下面短文,在空白处填入1个适当的单词或括号内单词的正确形式。

湖南省长沙市一中高三上学期第二次月考(英语).doc

湖南省长沙市一中高三上学期第二次月考(英语).doc

湖南省长沙市一中高三上学期第二次月考(英语)第一部分:听力(共两节,满分30分)第一节听力理解每段播放两遍。

各段后有几个小题,各段播放前每小题有5秒钟的阅题时间。

请根据各段播放内容及相关小题,在5秒钟内从题中所给的A、B、C项中,选出最佳选项,并在答题卡上将该项涂黑。

听第一段对话,回答第1~3题。

1. What is the woman worried about?A. Being overweight.B. Being too thin.C. Being sick.2. Wh at is the man’s attitude towards the magazine ads of weight-losing diets?A. Disbelieving.B. Confident.C. Interested.3. What can we learn from the conversation?A. The woman actually doesn’t mind being overweight.B. The man suggests the woman lose weight by exercise.C. The man doesn’t think the woman is overweight at all.听第二段对话,回答4~6题。

4. When will the performance start?A. At 1:00 p. m.B. At 2:00 p. m.C. At 3:00 p. m.5. Where will the two speakers go after the conversation?A. To an opera fan club.B. To a theater.C. To a museum.6. What can we learn from the conversation?A. They are late for the exhibition in the museum.B. They are foreign members of an opera fan club.C. All the opera costumes on show are handmade.听第三段独白,回答第7~9题。

湖南省长沙市第一中学2024-2025学年高三上学期月考卷(二)思想政治政治答案(25一中2)

湖南省长沙市第一中学2024-2025学年高三上学期月考卷(二)思想政治政治答案(25一中2)

长沙市一中2025 届高三月考试卷(二)思想政治参考答案一、选择题(本大题共16小题,每小题3分,共48分。

在每小题给出的四个选项中,只有一项是符合题目要求的)B1 . B 【解析】根据材料表述, 江河万里总有源, 树高千尺也有根。

源是实践, 根在优秀传统文化。

继续推进党的理论创新仍然要坚持马克思主义,并结合中国实际和中华优秀传统文化,①③正确。

在新时代继续推进党的理论创新要源自实践, 植根实践, 解决实践中的问题, 结合新的实际推进理论创新, ②不正确。

材料不涉及学习借鉴人类一切文明成果,④不符合题意。

故本题选B。

2 . A 【解析"第二个结合"作为又一次的思想解放, 对中华优秀传统文化和马克思主义两方面都有推动作用, 也拓展和深化了我们党对马克思主义中国化时代化的规律性认识, ①③正确。

马克思主义中国化时代化的第三次飞跃指习近平新时代中国特色社会主义思想的形成,②错误。

"第二个结合"为推进马克思主义中国化和时代化注入了蓬勃生机和内生动力, ④错误。

3 . D 【解析】该地组织广大青少年深入开展" 五红" 系列活动, 从革命先烈的事迹中汲取精神力量, 有利于广大青少年坚定理想信念、激发爱国热情,②④符合题意。

材料未涉及思想伟力和专业技能,①③不符合题意。

4.B【解析】题中数据显示,中小企业数字化融合不足,数字化转型落后,可能性原因是不愿转、不会转、不敢转,对此,应加大创新投入力度,加强企业数字化赋能,积极推动企业数字化改造,促进企业数字化转型,①④符合题意。

②③不符合题意。

5 . C 【解析】提高农业生产技术, 有利于提升产品品质, 但不能延长产业链条, ①错误。

实施土地流转, 有利于优化土地资源配置, 促进农业规模化经营, 提高农业生产效益, ②正确。

与大型蔬菜批发市场对接, 有利于减少流通环节, 增加菜农种植收益,促进乡村富裕,③正确。

湖南省长沙市第一中学2024-2025学年高三上学期月考卷(二)思想政治政治试卷(25一中2)

湖南省长沙市第一中学2024-2025学年高三上学期月考卷(二)思想政治政治试卷(25一中2)

长沙市一中2025 届高三月考试卷(二)思想政治得分:本试题卷分选择题和非选择题两部分, 共8 页。

时量75 分钟, 满分100 分。

第I 卷选择题(共48 分)一、选择题(本大题共16小题,每小题3分,共48分。

每小题列出的四个选项中,只有一项是符合题目要求的)1 . 江河万里总有源, 树高千尺也有根。

习近平总书记反复告诫全党, 中国特色社会主义是在改革开放新时期开创的, 也是建立在我们党长期奋斗基础上的, 而其思想、理论和实践的源头, 则可追溯到更远。

在新时代继续推进党的理论创新, 要①立足中国具体国情, 把握中国式现代化实践要求②把中国特色社会主义理论体系作为立党立国的根本③挖掘历史文化沃土, 与中华优秀传统文化相结合④以海纳百川的开放胸襟, 学习借鉴人类一切文明成果A. ①②B. ①③C. ②④D. ③④2. 进入新时代, 以习近平同志为主要代表的中国共产党人, 坚持把马克思主义基本原理同中国具体实际相结合、同中华优秀传统文化相结合。

在文化传承发展座谈会上, 习近平总书记强调"第二个结合"是又一次的思想解放。

这一次思想解放①推动了中华优秀传统文化创造性转化和创新性发展②成功实现了马克思主义中国化时代化的第三次飞跃③拓展和深化了我们党对马克思主义中国化时代化的规律性认识④为推进马克思主义中国化和传统化注入了蓬勃生机和内生动力A. ①③B. ①④C. ②③D. ②④3 . 传承红色基因, 走好新时代长征路。

近年来, 某地组织广大青少年深入开展阅读红色书信、聆听红色故事、演唱红色歌曲、观看红色影片、开展红色演讲等"五红"系列活动, 不断增强红色文化的吸引力、感染力。

在广大青少年中开展"五红"系列活动有利于①用思想伟力感召广大青少年②使广大青少年坚定理想信念③提高广大青少年的专业技能④激发广大青少年的爱国热情A. ①③B. ②③C. ①④D. ②④4. 整体上看, 中小企业数字化转型仍面临很多实质性障碍, 在实践中也明显落后于大型企业, 甚至在过去的10 年中, 中小企业与大型企业在数字化方面的差距正在扩大。

湖南省长沙市第一中学2024-2025学年高三上学期月考卷(二)语文(含答案)

湖南省长沙市第一中学2024-2025学年高三上学期月考卷(二)语文(含答案)

长沙市一中2025届高三月考试卷(二)语文得分:_____________ 本试卷共10页,时量150分钟,满分150分。

一、现代文阅读(35分)(一)现代文阅读Ⅰ(本题共5小题,19分)阅读下面的文字,完成1~5题。

材料一中国诗词讲究含蓄,以淡为美。

而英美诗歌则比较奔放,以感情激越为胜。

另外,中国诗词多以歌颂为主,而英美现代诗歌多以揭露为主。

中国诗人或托物言志,或借景抒情,永远把自己的情感埋藏于诗词之中,我们只有通过“感悟”才可能感觉出其美,最突出的例子莫过于马致远的《天净沙·秋思》。

他几乎没有用一个表达感情的词语,只是把“枯藤”“老树”“昏鸦”简单地排列在一起,寥寥几笔便勾勒出一幅凄凉寂寥的景象,后面两句把几种事物列在一处,却恰如其分地渲染了寂寞、惨淡的气氛,“夕阳西下”更是给整幅画面涂上了一层昏黄的颜色,最后一笔带出“断肠人在天涯”,感觉上前后好像并无直接联系,但感情是连贯的,思路也是连贯的。

一口气读下来,仿佛自己就是诗人所描绘的画中的游子,引起强烈的共鸣。

然而几种事物的并列,虽然没有任何的主观感情,却比再多的语言都要强烈地表达了一种孤寂凄清的感情,这正是中国古典诗歌的魅力所在。

相比之下,英美现代诗歌强调写资本主义社会中畸零人的心理,比较直率地把诗人的所要表达的意思表现出来,直抒胸臆而毫无造作,言尽而意亦尽,回味的空间相对缩小了,但这样比较符合西方人的心理特征、思维特征。

(摘编自吕洋《中西方诗歌比较》)材料二①与中国古典诗歌弱化主体的倾向不同,西方诗歌中的主体差不多总是在场的。

以十四行诗为例,主体总是堂而皇之地出现在诗中,站出来讲话。

这样,西方诗歌就形成了与中国诗歌迥然不同的风格。

②诗歌的风格离不开其文化土壤。

在中国,流行的思想是人与自然的和谐,这种观念的形成与中国人的生活方式和生活环境有关。

早在新石器时代,农业经济就已经建立起来。

几千年来,自给自足的经济稳定繁荣,因此,人们非常依赖自然环境,对自然世界的任何微妙变化都很敏感,他们渴望与自然亲密接触。

湖南省长沙市第一中学2025届高三上学期月考卷(一)语文试题(含答案)

湖南省长沙市第一中学2025届高三上学期月考卷(一)语文试题(含答案)

长沙市一中2025届高三月考试卷(一)语文本试卷共10页,时量150分钟,满分150分。

一、现代文阅读(34分)(一)现代文阅读Ⅰ(本题共5小题,18分)阅读下面的文字,完成1~5题。

(一)①因为儒家政治构想的最高目标是旨在修身齐家治国平天下的“人”,人与人之间伦理认同即是根本和逻辑起点。

这种伦理的内涵,有着更为普遍和更为基础的对天下之“人”的论述。

先秦时期的中国,以最为根本性的孝、仁来建构人与人的认同,来建构自己与“他者”共在的联系,即天下。

②周朝的天下,以宗法制为联结,宗法制的伦理根基是“孝”。

家庭共同体有了孝的概念,孝的延伸就是天下共同体之“仁”。

仁不是与他者的对立,而是与他者的共生共通。

“仁”即是处理人与人关系的概念,处理人与人之间关系,逻辑上首先要处理与亲人的关系。

只有实现家庭内部的“亲亲”,才能实现向外的“爱人”。

人与家庭共生,通过“仁”的概念转向了人与天下共生。

因此理想的天下就是“不独亲其亲,不独子其子”。

天下大同,是仁孝概念的逻辑必然,也是伦理化天下的根本内涵。

换句话说,天下其实就是人类的伦理共同体,因此在这个共同体之内,就不可能有民族歧视。

③天下为一家,意味着“他者”的取消,即不以政体或民族区分敌我,而是在伦理关系中确证对方的独立性,并与对方共生共在。

天下一家的秩序展现在现实中,就是以伦理关系为核心的礼制。

凡天下之人,皆需仁孝,而仁孝就要服从礼制,服从礼制就要服从天子。

因此,家与天下就在政治秩序层面实现了同构。

随着大一统的实现,天下之内没有了其他的国,国家秩序也就成了天下秩序。

这种伦理化的天下秩序不断将边缘的地域和人民纳入天下中来,荀子说:“四海之内若一家,通达之属莫不从服。

”④后世的中国人,往往不是以民族或者国家来定义中国,而是以文化或文明定义中国。

正是因为中国概念的文明内涵,才导致中国可以消弭地理边界,逐渐与天下趋同。

⑤这种伦理的、文化的天下观念在宋朝受到了某种程度的挑战。

2024届湖南省长沙市长郡中学高三下学期6月保温测试英语试题(含解析)

2024届湖南省长沙市长郡中学高三下学期6月保温测试英语试题(含解析)

24 届保温卷英语(一)一、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。

ANew Yorker writer Kyle Chayka came of age alongside the internet. As a teen, he published his own blog and joined forums(论坛)for the Dave Matthews Band. He discovered one of his favorite jazz songs — John Coltrane's full version of "My Favorite Things" — driving around at night, listening to the local radio station.Chayka misses this time — and the ways, then, that personal discoveries like these were made. In his new book, Filter World: How Algorithms (算法)Flattened Culture, Chayka says he never would have fallen in love with Coltrane's song if he'd heard it on Spotify, an online music streaming service. He says he doubts Spotify's algorithm would even suggest it, because the song is so long. And that, even if it did, he wouldn't have learned anything about Coltrane as an artist, because the Spotify interface doesn't provide the same context that a radio DJ does, sharing details between songs. The person behind the song choice, he argues, made his emerging interest in Coltrane possible in a way modern recommendation systems cannot.This is one of many "back in my day" stories Chayka uses to illustrate his argument that algorithms have "flattened culture". Thanks to recommendation, generators like Netflix's top picks and Spotify's autoplay suggestions, "the least troublesome and perhaps least meaningful pieces of culture are promoted," Chayka argues. He admits that quality is subjective when judging these things, and instead argues that recommendation systems undermine personal taste. Taste, he writes, was once a combination of personal choices and popular influence— but now algorithms rely more on choices of the masses. Developing taste requires effort and active engagement, but what we see now are algorithms turning taste into consumerism.A central point of the book, in fact, is that people today are not only well aware of the power of algorithms, they can't escape them. He interviews a young woman who wonders if "what I like is what I actually like," worried that her taste is so shaped by algorithms that she can't trust herself. The book may be most useful in these sections, where Chayka and his interviewees attempt to make sense of how internet algorithms have shaped their own lives and work.1. Why does Chayka tell his own experience in his book?A. To promote his new book.B. To attract readers' attention.C. To explain the background.D. To support his opinion.2. What is the book Filter World mainly about?A. How early internet shapes our culture.B. How technology influences our personal taste.C. How social media changes our view of reality.D. How digital platform redefines mass consumption.3. What is Chayka's attitude towards modern recommendation systems?A. Ambiguous.B. Favorable.C. Tolerant.D. Critical.4. What does the author intend to do in the last paragraph?A. Show the highlights of the book.B. Comment on the structure of the book.C. Summarize the main arguments.D. Praise Chayka's writing styles.BIndependent will is what really makes effective self-management possible. It is the ability to make decisions and choices and to act in accordance with them. It is the ability to act rather than to be acted upon.The human will is an amazing thing. Time after time, it has won against unbelievable difficulties. The Helen Kellers of this world give dramatic evidence to the value, the power of the independent will. But as we examine it in the context of effective self-management, we realize it's usually not the dramatic, the visible, the once-in-a-lifetime effort that brings enduring success. Empowerment comes from learning how to use independent will in the decisions we make every day.The degree to which we have developed our independent will in our everyday lives is measured by our personal integrity. Integrity is, fundamentally, the value we place on ourselves. It's our ability to make and keep commitments to ourselves — to "walk our talk." It's honor with self, a fundamental part of the character ethic, the essence of active growth.Effective management is putting first things first. While leadership decides what "first things" are, it is management that puts them first, day-by-day, moment-by-moment. Management is discipline, carrying it out.Discipline stems from disciple(追随者)—disciple to a philosophy, disciple to a set of principles, disciple to a set of values, and disciple to an ultimate purpose. In other words, if you are an effective manager of yourself, your discipline comes from within; it is a function of your independent will. You are a disciple, a follower, of your own deep values and their source. And you have the will, the integrity, to place your feelings, your urges, your moods after those values.That placement requires a purpose, a mission. It also requires independent will, the power to do something when you don't want to do it, to be a function of your values rather than a function of the urge or desire of any given moment. It's the power to act with integrity to your first creation.5. What is the author's purpose in mentioning "the Helen Kellers" in paragraph 2?A. To explain a reason.B. To highlight a point.C. To make a prediction.D. To give a definition.6. What do the underlined words "walk our talk" in paragraph 3 mean?A. Put words into deeds.B. Display confidence.C. Stop talking big.D. Strike a balance.7. To achieve effective self-management, what will the author probably recommend?A. Seeking external support.B. Undertaking more missions.C. Sticking to one's own values.D. Following one's desires.8. Which of the following is the best title for the text?A. The Secret Behind Self-disciplineB. The Magic of Personal IntegrityC. The Power of Independent WillD. The Road to Effective Management二、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。

湖南省长沙市第一中学2023-2024学年高三下学期月考(七)数学试题试卷(七)

湖南省长沙市第一中学2023-2024学年高三下学期月考(七)数学试题试卷(七)

长沙市一中2024 届高三月考试卷(七)数学试卷一、单项选择题: 本题共8 小题, 每小题5 分, 共40 分. 在每小题给出的四个选项中, 只有一项是符合题目要求的.1. 样本数据15 、13 、12 、31 、29 、23 、43 、19 、17 、38 的中位数为( )(A) 19 (B) 23 (C) 21 (D) 182. 已知集合A = {x''' e x2 −2x ≤ 1}, B = {−1, 0, 1}, 则集合A ∩ B 的非空子集个数为( )(A) 4 (B) 3 (C) 8 (D) 73. 已知实部为3 的复数z 满足z · (1 −2i) 为纯虚数, 则|z| = ( )(D) √54. 已知数列{a n } 满足a n = 3n −b (n ∈ N* , b ∈ R), 则“b < 3”是“{|a n |} 是递增数列”的( )(A) 充分不必要条件(B) 必要不充分条件(C) 充要条件(D) 既不充分也不必要条件5. 已知tan θ= 2, 则 sin 2θ= ( )(A) (B) 2 (C) 1 (D)6. 过抛物线E: y2 = 2px (p > 0) 的焦点F 的直线交E 于点A, B , 交E 的准线l 于点C , AD ⊥ l , 点D 为垂足.若F 是AC 的中点, 且|AF | = 3, 则|AB| = ( )(A) 4 (B) 2√3 (C) 3√2 (D) 37. 已知双曲线C: kx2 −y2 = 1 的左焦点为F , P (3m, −4m) (m > 0) 为C 上一点, 且P 与F 关于C 的一条渐近线对称, 则C 的离心率为( )(A) (B) √3 (C) 2 (D)√58. 已知函数f(x) 的定义域为R, 且满足f(x) + f(3 −x) = 4, f(x) 的导函数为g(x), 函数y = g(x −1) 的图象关于点(2, 1) 中心对称, 则f + g(2024) = ( )(A) 3 (B) −3 (C) 1 (D) −1二、多项选择题: 本题共3 小题, 每小题6 分, 共18 分. 在每小题给出的选项中, 有多项符合题目要求, 全部选对的得6 分, 部分选对的得部分分, 有选错的得0 分.9. 已知函数cos 2x + sin 2x, 则( )(A) 函数f (x −关于原点对称(B) 曲线y = f(x) 的对称轴为x = + , k ∈ Z2 cos2 θ + 4 sin2 θ(C) f (x) 在区间单调递减(D) 曲线y = f (x) 在点(0, f (0)) 处的切线方程为2x −2y + 1 = 010. 已知二面角A −CD −B 的大小为, AC ⊥ CD , BD ⊥ CD , 且CD = 1, AC + BD = 2, 则( )(A) △ABD 是钝角三角形(B) 异面直线AD 与BC 可能垂直(C) 线段AB 长度的取值范围是[2, √5) (D) 四面体A −BCD 体积的最大值为11. 甲、乙两同学参加普法知识对抗赛, 规则是每人每次从题库中随机抽取一题回答. 若回答正确, 得 1 分, 答题继续; 若回答错误, 得0 分, 同时换成对方进行下一轮答题. 据经验统计, 甲、乙每次答题正确的概率分别是和 , 且第1 题的顺序由抛掷硬币决定. 设第i 次答题者是甲的概率为P i , 第i 次回答问题结束后中甲的得分是K i , 则( )(A) P2 =(C) P i+1= P i+ P i+ K i−1三、填空题: 本题共3 小题, 每小题5 分, 共15 分.12. (x + 3y)(x −y)8 的展开式中x3 y6 的系数为.13. 已知动点P 在圆M : (x −m + 1)2 + (y −m)2 = 1 上, 动点Q 在曲线y = ln x 上. 若对任意的m ∈ R, |PQ| ≥ n恒成立, 则n 的最大值是.14. 已知正六棱锥的高是底面边长的2√3 倍, 侧棱长为√13, 正六棱柱内接于正六棱锥, 即正六棱柱的所有顶点均在正六棱锥的侧棱或底面上, 则该正六棱柱的外接球表面积的最小值为.四、解答题: 本题共5 小题, 共77 分. 解答应写出文字说明、证明过程或演算步骤.15. 盒中有形状、大小均相同的卡片6 张, 卡片依次标记数字1, 2, 2, 3, 3, 3.(1) 若随机一次取出两张卡片, 求这两张卡片标记数字之差为1 的概率;(2) 若每次随机取出两张卡片后不放回, 直到将所有标记数字为2 的卡片全部取出, 记此时盒中剩余的卡片数量X , 求X 的分布列和E(X).16. 如图三棱锥P −ABC 中, PA = BC , AB = PC , AC ⊥ PB.(1) 证明: AB = BC;(2) 若平面PAC ⊥ 平面ABC , AC = √2AB , 求二面角A −PB −C 的余弦值.PA CB17. 已知定义在 (0, π) 上的函数 f (x) = cos 2 x + sin x.(1) 求 f (x) 的极大值点;(2) 证明: 对任意x 4 − x 2 + 1. 18. 已知椭圆的上、下顶点分别为 A(0, 1), B(0, −1), 其右焦点为 F , 且 F #---A -→ · B #---A -→ = F #---A -→ · F #---B -→ .(1) 求椭圆 C 的方程;(2) 若点 P (2, −1), 在直线 BP 上存在两个不同的点 P 1 , P 2 满足 P #---P ---1→ · P #---P ---2→ = P #---B -→2 . 若直线 AP 1 与直线 AP 2 分别交 C 于点 M , N (异于点 A), 证明: P , M , N 三点共线.19. 定义 △ABC 三边长分别为 a, b, c, 则称三元无序数组 (a,b, c) 为三角形数. 记 D 为三角形数的全集, 即 (a,b, c) ∈D.(1) 证明:“ (a,b, c) ∈ D ”是“(√a, √b, √c) ∈ D ”的充分不必要条件;(2) 若锐角 △ABC 内接于圆 O , 且 x O #---A -→ + y O #---B -→ + z O #---C -→ = 0, 设 I = (x,y, z) (x, y, z > 0).① 若 I = (3, 4, 5), 求 S △AOB : S △AOC ;② 证明: I ∈ D.。

炎德英才长沙市一中高三月考二英语

炎德英才长沙市一中高三月考二英语

炎德英才长沙市一中高三月考二英语In the recent March English exam for senior high students at Changsha No.1 High School, outstanding talents were showcased. This exam served as a platform for students to demonstrate their English proficiency and academic prowess. The test covered various aspects of the English language, including reading comprehension, grammar, vocabulary, and writing skills.The students exhibited remarkable abilities in comprehending complex passages, accurately answering questions, and applying grammatical rules effectively. Their vocabulary prowess was evident in their nuanced understanding and usage of words in different contexts. Moreover, their writing skills demonstrated clarity, coherence, and depth of thought.The English exam not only evaluated the students' linguistic abilities but also their critical thinking and problem-solving skills. The challenging questions encouraged them to analyze information, make logical deductions, and express their ideas cogently. Through this exam, the students honed their cognitive skills and expanded their intellectual horizons.Furthermore, the exam provided valuable insights into the effectiveness of the English curriculum and teaching methodologies at Changsha No.1 High School. It highlighted areas of strength and areas that may require further attention and improvement. The results of the exam will serve as a benchmark for assessing the overall academic performance of the students and guiding future teaching strategies.Overall, the March English exam at Changsha No.1 High School showcased the exceptional talents and academic excellence of the senior high students. It demonstrated their dedication to learning, their passion for the English language, and their readiness to face academic challenges. As they continue their educational journey, these students are poised to achieve great success and make meaningful contributions to society.。

湖南省长沙市一中2023-2024学年高三上学期月考卷(二)语文试题(原卷版)

湖南省长沙市一中2023-2024学年高三上学期月考卷(二)语文试题(原卷版)
⑨于是,在那一天黄昏,一个陌生人站在我的面前,直视我的眼睛,对我说,求求你,别打开你的AI,现在,说吧,对我说出你的故事,让我们诉说和倾听,让我们相互认识。
⑩ 在这幻想中的一天里,人类又有了最后的和最初的读者,与最后的和最初的作者。人的自然语言、人的文学,从根本上是为了保持和延伸人与人的关系、人与世界的关系。当我们读杜甫的诗,我们知道他是杜甫,是另一个人,带着他的悲辛、苍劲和宽阔站在我们面前,我们在这个人身上感受、勘探我们自身的可能和不可能。我们注视着梵高,我们确信如此眩目的色彩并非数字选择的结果,而是一个人生命的风暴,这风暴将裹抉我们。正是在这个意义上,我们和传统的关系、和已有的全部文本的关系不是一个知识问题,不是数据的检索和生成问题,而是我们作为有限的个体,以有限的生命去阅读、学习、体认、选择。我们每个人都是传统的“道成肉身”,把自己从传统中转化出来、发明出来、创造出来,成为那个坚实的、超级AI所消化不了的、最个别和最普遍的“物”。
D.作者认为,想要成为一个真正意义上的“作者”,就必须坚定捍卫人类的语言主权。
2.根据原文内容,下列说法不正确 一项是( )
A.我们如果不能守护人的根基,去实践、去创造,就不可能对抗和超越超级AI所生成的作品。
B.超级AI在写作上并非无用,对于那些按成规惯例、现成类型和模式进行的写作,它效率极高。
C.辩证地看,超级AI可能比我们更懂我们自己,其作品能让我们区别于其他人而具有独特个性。
②坟场也成了我开始认识生活的课堂。
⑨坟场,在我幼小的心灵中,曾是最恐怖的地方。小朋友在村头上玩,碰上阴天,晚上会突然看到野外有一闪一闪既不绿又不蓝的微弱的光。老人们说那是“鬼火”,是“活无常”挑着灯笼办案或者在打火抽烟。小朋友们听了头发竖,心发怵,跑回家蒙上被子闭上眼,被子里头好像还一闪一闪地亮。

湖南省长沙市一中2024届高三月考卷(一)语文试题

湖南省长沙市一中2024届高三月考卷(一)语文试题

炎德·英才大联考长沙市一中2024届高三月考试卷(一)语文得分:本试卷共10页,时量150分钟,满分150分。

一、现代文阅读(35分)(一)现代文阅读Ⅰ(本题共5小题,19分)阅读下面的文字,完成1~5题。

材料一:人类创造的文化,包括科技文化和人文文化两大部类,它们分别发展看工具理性和价值理性。

科学技术作为最富革命性格的生产力,改造着世界,创造着巨大的物质财富,为人类提供日益增多的方便与享受,使人类自觉不自觉地产生了一种对科学技术的盲目崇拜。

19世纪以降,尤其是20世纪,相当多的人把科学技术视作全知、全能、全在的救世主,以为所有难题,包括精神、价值、自由都可以经由科学技术获得完满解决。

但由于科学技术是从研究自然界(尤其是物理世界)中抽象出来的一种“物质化”方法,或“非人格化”方法,其应用显然不足以解决人的精神领域的各种问题。

用池田大作的语言来说,“科学之眼”自有其限定性,因为“科学的思维法产生了轻视生命的领向,容易忽视活生生的人的真实风貌”,因而有赖人文的思想及方法的补充与矫正。

这首先表现在,对人类的生命意义而言,科学技术的健康走向,有赖人文精指引。

诚然,科技是“价值中立”的,但是作为社会人的科学家却不应是价值中立的,二战期间,爱因斯坦与“原子弹之父”奥本海默联袂反对使用原子弹,便是从人类良知和社会责任感出发的。

科技需要人文文化弥补的又一理由是:科学技术可以提供日益强大、有效的工具理性,却不能满足人类对于政治理念、伦理规范和终极关怀等层面的需求,总之,无法提供人类区别于禽兽的“价值理性”。

而现代人类所面临的诸多困扰,往往发生在值理性”管辖的领地,发生在“意义危机”频频袭来之际。

中国古代优秀的人文传统也其是在道德层面,有若干超越性的意义,可以成为文明人类公认的生活准则。

诸不忍之心、羞恶之心、恻隐之心、仁爱之心,都是贯通古今、中外认可的。

“人无信不少”,何尝不是成熟的现代市场交易所应遵循的经济伦理?“己所不欲,勿施于人”,也规代社会人际关系须臾不可脱离的黄金法则。

2022-2023学年湖南省长沙市第一中学高三下学期2月月考(六)数学试卷含逐题详解

2022-2023学年湖南省长沙市第一中学高三下学期2月月考(六)数学试卷含逐题详解

长沙市一中2023届高三月考试卷(六)数学时量:120分钟满分:150分一、单项选择题(本题共8小题,每小题5分,共40分.在每小题给出的四个选项中,只有一项是符合题目要求的.)1.已知集合{}32,Z M x x n n ==-∈,{}2,1,0,1,2N =--,则M N ⋂=()A.{}2,1- B.{}1,2- C.{}1,1- D.{}2,0,2-2.已知复数z 满足()1i 1i z -=+,i 为虚数单位,则z =()A.iB.2222+ C.11i 22+ D.1i+3.已知()30A -,,()3,0B ,()0,3C ,一束光线从点()1,0F -出发经AC 反射后,再经BC 上点D 反射,落到点()1,0E 上.则点D 的坐标为()A.15,22⎛⎫⎪⎝⎭B.33,22⎛⎫⎪⎝⎭C.()1,2 D.()2,14.若ππ,24α⎛⎫∈-- ⎪⎝⎭,且23π1cos cos 222αα⎛⎫++=- ⎪⎝⎭,则tan α=()A.B.2- C.3- D.-5.据一组样本数据()()()1122,,,,,,n n x y x y x y ⋅⋅⋅,求得经验回归方程为 1.20.4y x =+,且3x =.现发现这组样本数据中有两个样本点()1.2,0.5和()4.8,7.5误差较大,去除后重新求得的经验回归直线l 的斜率为1.1,则()A.去除两个误差较大的样本点后,y 的估计值增加速度变快B.去除两个误差较大的样本点后,重新求得的回归方程对应直线一定过点()3,5C.去除两个误差较大的样本点后,重新求得的回归方程为 1.10.7y x =+D.去除两个误差较大的样本点后,相应于样本点()2,2.7的残差为0.16.在四面体PABC 中,PA AB ⊥,PA AC ⊥,120BAC ∠=︒,2AB AC AP ===,则该四面体的外接球的表面积为()A.12πB.16πC.18πD.20π7.已知圆O 的半径为1,A 为圆内一点,12OA =,B ,C 为圆O 上任意两点,则AC BC ⋅ 的最小值是()A.18-B.116-C.116D.188.设()f x 是定义在R 上的函数,若()2f x x +是奇函数,()f x x -是偶函数,函数()()[]()(),0,121,1,f x x g x g x x ∞⎧∈⎪=⎨-∈+⎪⎩,若对任意的[]0,x m ∈,()3g x ≤恒成立,则实数m 的最大值为()A.133B.174C.92D.143二、多项选择题(本题共4小题,每小题5分,共20分.在每小题给出的选项中,有多项符合题目要求.全部选对的得5分,部分选对的得2分,有选错的得0分.)9.已知函数()()πsin 04f x x ωω⎛⎫=+> ⎪⎝⎭在区间[]0,π上有且仅有3条对称轴,给出下列四个结论,正确的是()A.ω的取值范围是913,44⎡⎫⎪⎢⎣⎭B.()f x 在区间()0,π上有且仅有3个不同的零点C.()f x 的最小正周期可能是4π5D.()f x 在区间π0,15⎛⎫⎪⎝⎭上单调递增10.已知抛物线C :22x y =的焦点为F ,准线为l ,A ,B 是C 上异于点O 的两点,O 为坐标原点,则()A.l 的方程为12x =-B.若32AF =,则AOF 的面积为4C.若0OA OB ⋅=,则9OA OB ⋅≥D.若120AFB ∠=︒,过AB 的中点D 作DE l ⊥于点E ,则ABDE11.如图,正方体1111ABCD A B C D -中,顶点A 在平面α内,其余顶点在α的同侧,顶点1,,B C A 到α的距离分别为1,2,3,则()A.BD 平面αB.平面1A AC ⊥平面αC.直线1AB 与α所成角比直线1AA 与α所成角大D.12.已知a ,b 为正实数,且26ab a b ++=,则()A.ab 的最大值为2B.2a b +的最小值为5C.1211a b +++的最小值为98D.()0,3a b -∈三、填空题(本题共4小题,每小题5分,共20分.)13.设直线10x y ++=是曲线ln y a x =-的一条切线,则=a _________.14.楼道里有8盏灯,为了节约用电,需关掉3盏互不相邻的灯,则关灯方案有_________种.15.过双曲线C :()222210,0x y a b a b-=>>右焦点F 作直线l ,且直线l 与双曲线C 的一条渐近线垂直,垂足为A ,直线l 与另一条渐近线交于点B .且点A ,B 位于x 轴的异侧,O 为坐标原点,若OAB 的内切圆的半径为23b,则双曲线C 的离心率为__________.16.小说《三体》中,一个“水滴”摧毁了人类整个太空舰队,当全世界第一次看到“水滴”的影像时,所有人都陶醉于它那绝美的外形.这东西真的是太美了,像梦之海中跃出的一只镜面海豚,仿佛每时每刻都在宇宙之夜中没有尽头地滴落着.有科幻爱好者为“水滴”的轴截面设计了二维数学图形,已知集合()()(){}22,cos sin 4,0P x y x y θθθπ=-++=≤≤.由集合P 中所有的点组成的图形如图中阴影部分所示,中间白色部分就如美丽的“水滴”.则图中“水滴”外部阴影部分的面积为_________.四、解答题(本题共6小题,共70分.解答应写出文字说明、证明过程或演算步骤.)17.记n S 为正项数列{}n a 的前n 项和,已知1n a +是4与n S 的等比中项.(1)求{}n a 的通项分式;(2)证明:2222123111154n a a a a +++⋅⋅⋅+<.18.已知a ,b ,c 分别为ABC 三个内角A ,B ,C的对边,且cos sin a C C b c +=+.(1)求A ;(2)已知ABC 的面积为334,设M 为BC的中点,且AM =,BAC ∠的平分线交BC 于N ,求线段AN 的长度.19.近日,某芯片研发团队表示已自主研发成功多维先进封装技术XDFOI,可以实现4nm 手机SOC 芯片的封装,这是中国芯片技术的又一个重大突破,对中国芯片的发展具有极为重要的意义.可以说国产4nm 先进封装技术的突破,激发了中国芯片的潜力,证明了知名院士倪光南所说的先进技术是买不来的、求不来的,自主研发才是最终的出路.研发团队准备在国内某著名大学招募人才,准备了3道测试题,答对两道就可以被录用,甲、乙两人报名参加测试,他们通过每道试题的概率均为()01p p <<,且相互独立,若甲选择了全部3道试题,乙随机选择了其中2道试题,试回答下列问题.(所选的题全部答完后再判断是否被录用)(1)求甲和乙各自被录用的概率;(2)设甲和乙中被录用的人数为ξ,请判断是否存在唯一的p 值0p ,使得() 1.5E ξ=?并说明理由.20.如图,四棱锥P ABCD -的底面ABCD 是边长为2的正方形,2PA PB ==.(1)证明:PAD PBC ∠=∠;(2)当直线PA 与平面PCD 所成角的正弦值最大时,求此时二面角P AB C --的大小.21.已知()1,0F -,D 是圆C :()22116x y -+=上的任意一点,线段DF 的垂直平分线交DC 于点P .(1)求动点P 的轨迹Γ的方程:(2)过点(),0M t 的直线l 与曲线Γ相交于A ,B 两点,点B 关于x 轴的对称点为B ',直线AB '交x 轴于点N ,证明:OM ON ⋅为定值.22.已知函数()1e ln axf x x x-=+,a ∈R .(1)当1a =时,求函数()f x x -的最小值;(2)若函数()f x x 的最小值为a ,求a 的最大值.长沙市一中2023届高三月考试卷(六)数学时量:120分钟满分:150分一、单项选择题(本题共8小题,每小题5分,共40分.在每小题给出的四个选项中,只有一项是符合题目要求的.)1.已知集合{}32,Z M x x n n ==-∈,{}2,1,0,1,2N =--,则M N ⋂=()A.{}2,1- B.{}1,2- C.{}1,1- D.{}2,0,2-【答案】A【分析】利用列举法及交集的定义即可求解.【详解】{}}{32,Z ...,5,2,1,4,7,M x x n n ==-∈=-- ,所以{}2,1M N =- .故选:A.2.已知复数z 满足()1i 1i z -=+,i 为虚数单位,则z =()A.iB.2222+ C.11i 22+ D.1i+【答案】B【分析】根据向量的除法和向量模的求法,变形的1i 22(1i)=1i1i (1i)(1i)z ++==---+,即可求解.【详解】1i 1122(1i)2(1i)22===i 1i 1i 1i (1i)(1i)222z +++===+----+,故选:B3.已知()30A -,,()3,0B ,()0,3C ,一束光线从点()1,0F -出发经AC 反射后,再经BC 上点D 反射,落到点()1,0E 上.则点D 的坐标为()A.15,22⎛⎫⎪⎝⎭B.33,22⎛⎫⎪⎝⎭C.()1,2 D.()2,1【答案】C【分析】根据入射光线与反射光线的性质可知GH 方程,由GH 与BC 的交点可得D ,求坐标即可.【详解】根据入射光线与反射光线关系可知,分别作出,F E 关于,AC BC 的对称点,G H ,连接GH ,交BC 于D ,则D 点即为所求,如图,因为AC 所在直线方程为3y x =+,(1,0)F -,设()G x y ,,则132211y x y x -⎧=+⎪⎪⎨⎪=-⎪+⎩,解得3,2x y =-=,即(3,2)G -,由BC 所在直线方程为3y x =-+,(1,0)E ,同理可得(3,2)H ,所以直线GH 方程为2y =,由32y x y =-+⎧⎨=⎩解得(1,2)D ,故选:C 4.若ππ,24α⎛⎫∈-- ⎪⎝⎭,且23π1cos cos 222αα⎛⎫++=- ⎪⎝⎭,则tan α=()A.3B.2- C.3- D.3-【答案】C【分析】利用三角函数的诱导公式及二倍角的正弦公式,结合三角函数的齐次式法即可求解.【详解】因为ππ,24α⎛⎫∈-- ⎪⎝⎭,所以tan 1α<-,由23π1cos cos 222αα⎛⎫++=- ⎪⎝⎭,得21cos sin 22αα+=-,即222cos 2sin cos 1cos sin 2ααααα+=-+,所以212tan 11tan 2αα+=-+,即2tan 4tan 30αα++=,解得tan 3α=-或tan 1α=-(舍).故选:C.5.据一组样本数据()()()1122,,,,,,n n x y x y x y ⋅⋅⋅,求得经验回归方程为 1.20.4y x =+,且3x =.现发现这组样本数据中有两个样本点()1.2,0.5和()4.8,7.5误差较大,去除后重新求得的经验回归直线l 的斜率为1.1,则()A.去除两个误差较大的样本点后,y 的估计值增加速度变快B.去除两个误差较大的样本点后,重新求得的回归方程对应直线一定过点()3,5C.去除两个误差较大的样本点后,重新求得的回归方程为 1.10.7y x =+D.去除两个误差较大的样本点后,相应于样本点()2,2.7的残差为0.1【答案】C【分析】根据直线l 的斜率大小判断A ;求出y 判断B ;再求出经验回归方程判断C ;计算残差判断D 作答.【详解】对于A ,因为去除两个误差较大的样本点后,经验回归直线l 的斜率变小,则y 的估计值增加速度变慢,A 错误;对于B ,由 1.20.4y x =+及3x =得:4y =,因为去除的两个样本点()1.2,0.5和()4.8,7.5,并且1.2 4.80.57.53,422++==,因此去除两个样本点后,样本的中心点仍为(3,4),因此重新求得的回归方程对应直线一定过点(3,4),B 错误;对于C ,设去除后重新求得的经验回归直线l 的方程为 ˆ1.1y x a=+,由选项B 知,ˆ4 1.13a =⨯+,解得ˆ0.7a =,所以重新求得的回归方程为 1.10.7y x =+,C 正确;对于D ,由选项C 知, 1.10.7y x =+,当2x =时, 1.120.7 2.9y =⨯+=,则2.7 2.90.2-=-,因此去除两个误差较大的样本点后,相应于样本点()2,2.7的残差为0.2-,D 错误.故选:C6.在四面体PABC 中,PA AB ⊥,PA AC ⊥,120BAC ∠=︒,2AB AC AP ===,则该四面体的外接球的表面积为()A.12πB.16πC.18πD.20π【答案】D【分析】由线面垂直的判定定理可得PA ⊥平面ABC ,设底面ABC 的外心为G ,外接球的球心为O ,D 为PA 的中点,可得四边形ODAG 为平行四边形,所以1OG =,在ABC 中,由余弦定理及正弦定理可求AG ,故可求外接球的半径,根据球的表面积公式即可求解.【详解】因为PA AB ⊥,PA AC ⊥,,,AB AC A AB AC =⊂ 平面ABC ,所以PA ⊥平面ABC .设底面ABC 的外心为G ,外接球的球心为O ,则OG ⊥平面ABC ,所以//PA OG .设D 为PA 的中点,因为OP OA =,所以DO PA ⊥.因为PA ⊥平面ABC ,AG ⊂平面ABC ,所以PA ⊥AG ,所以//OD AG .因此四边形ODAG 为平行四边形,所以112OG AD PA ===.因为120BAC ∠=︒,2AB AC ==,所以BC=,由正弦定理,得24232AG AG==⇒=.所以该外接球的半径R满足()()2225R OG AG=+=,故该外接球的表面积为24π20πS R==.故选:D.7.已知圆O的半径为1,A为圆内一点,12OA=,B,C为圆O上任意两点,则AC BC⋅的最小值是()A.18- B.116- C.116 D.18【答案】A【详解】首先设OA与BC所成角为θ,根据题意得到()1cos cos2AC BC OC OA BC OC BC OA BC BC BCO BCθ⋅=-⋅=⋅-⋅=∠-,再根据221111cos2222BC BC BC BCθ-≥-求解即可.【点睛】如图所示:设OA与BC所成角为θ,因为()1cos cos2AC BC OC OA BC OC BC OA BC BC BCO BCθ⋅=-⋅=⋅-⋅=∠-,因为112cos2BCBCO BCOC∠==,所以211cos22AC BC BC BCθ⋅=-因为221111cos2222BC BC BC BCθ-≥-,当0θ= 时,等号成立.因为02BC≤≤,所以当12BC=时,21122BC BC-取得最小值为18-,所以当12BC = 时,AC BC ⋅ 取得最小值为18-.故选:A8.设()f x 是定义在R 上的函数,若()2f x x +是奇函数,()f x x -是偶函数,函数()()[]()(),0,121,1,f x x g x g x x ∞⎧∈⎪=⎨-∈+⎪⎩,若对任意的[]0,x m ∈,()3g x ≤恒成立,则实数m 的最大值为()A.133B.174C.92D.143【答案】B【分析】由()2f x x +是奇函数,()f x x -是偶函数,求出()2f x x x =-,再根据()()[]()(),0,121,1,f x x g x g x x ∞⎧∈⎪=⎨-∈+⎪⎩,作出函数()g x 的图象即可求解.【详解】因为()2f x x +是奇函数,()f x x -是偶函数,所以()()()()()22f x x f x x f x x f x x⎧-+-=--⎪⎨-+=-⎪⎩,解得()2f x x x =-,由()()[]()(),0,121,1,f x x g x g x x ∞⎧∈⎪=⎨-∈+⎪⎩,当()1,2x ∈时,则()10,1x -∈,所以()()()2121g x g x f x =-=-,同理:当()2,3x ∈时,()()()()214242gx g x g x f x =-=-=-,以此类推,可以得到()g x 的图象如下:由此可得,当()4,5x ∈时,()()164g x f x =-,由()3g x ≤,得()()16453x x --≤,解得174x ≤或194x ≥,又因为对任意的[]0,x m ∈,()3g x ≤恒成立,所以1704m <≤,所以实数m 的最大值为174.故选:B.【点睛】本题考查了奇函数与偶函数的性质,抽象函数的周期性,通过递推关系分析出每一个区间的解析式是本题的关键,数形结合是解题中必须熟练掌握一种数学思想,将抽象转化为形象,有助于分析解决抽象函数的相关问题.二、多项选择题(本题共4小题,每小题5分,共20分.在每小题给出的选项中,有多项符合题目要求.全部选对的得5分,部分选对的得2分,有选错的得0分.)9.已知函数()()πsin 04f x x ωω⎛⎫=+> ⎪⎝⎭在区间[]0,π上有且仅有3条对称轴,给出下列四个结论,正确的是()A.ω的取值范围是913,44⎡⎫⎪⎢⎣⎭B.()f x 在区间()0,π上有且仅有3个不同的零点C.()f x 的最小正周期可能是4π5D.()f x 在区间π0,15⎛⎫⎪⎝⎭上单调递增【答案】ACD【分析】由[]0,πx ∈,得πππ,π444x ωω⎡⎤+∈+⎢⎥⎣⎦,再根据函数()f x 在区间[]0,π上有且仅有3条对称轴,可得5ππ7ππ242ω≤+<,可求出ω的取值范围判断A ,再利用三角函数的性质可依次判断BCD .【详解】由[]0,πx ∈,得πππ,π444x ωω⎡⎤+∈+⎢⎥⎣⎦,因为函数()f x 在区间[]0,π上有且仅有3条对称轴,所以5ππ7ππ242ω≤+<,解得91344ω≤<,故A 正确;对于B ,(0,π)x ∈ ,∴πππ,π444x ωω⎛⎫+∈+ ⎪⎝⎭,∴π5π7ππ,422ω⎛⎫+∈ ⎪⎝⎭,当π5π,3π42x ω⎛⎤+∈ ⎥⎝⎦时,()f x 在区间(0,π)上有且仅有2个不同的零点;当π7π3π,42x ω⎛⎫+∈ ⎪⎝⎭时,()f x 在区间(0,π)上有且仅有3个不同的零点,故B 错误;对于C ,周期2πT ω=,由91344ω≤<,则414139ω<≤,∴8π8π139T <≤,又84ππ58π,139⎛⎤∈ ⎥⎝⎦,所以()f x 的最小正周期可能是4π5,故C 正确;对于D , π0,15x ⎛⎫∈ ⎪⎝⎭,∴ππππ,44154x ωω⎛⎫+∈+ ⎪⎝⎭,又91344ω≤<,∴ππ2π7ππ,0,1545152ω⎡⎫⎛⎫+∈⊆⎪ ⎪⎢⎣⎭⎝⎭,所以()f x 在区间π0,15⎛⎫ ⎪⎝⎭上一定单调递增,故D 正确.故选:ACD.10.已知抛物线C :22x y =的焦点为F ,准线为l ,A ,B 是C 上异于点O 的两点,O 为坐标原点,则()A.l 的方程为12x =-B.若32AF =,则AOF 的面积为24C.若0OA OB ⋅= ,则9OA OB ⋅≥D.若120AFB ∠=︒,过AB 的中点D 作DE l ⊥于点E ,则ABDE 【答案】BD【分析】A 选项,由抛物线方程得到准线方程,A 错误;由焦半径公式得到1A y =,进而求出A x =到AOF 的面积,B 正确;由0OA OB ⋅= 得到4A B x x =-,4A B y y =,表达出()2222232A B A B OA OB x y y x ⋅=++,结合基本不等式求出最值,C 错误;作出辅助线,设,AF a BF b ==,由焦半径公式得到2a b DE +=,结合余弦定理,基本不等式得到AB DE 的最小值.【详解】22x y =的焦点为10,2F ⎛⎫ ⎪⎝⎭,准线方程为12y =-,故A 错误;由焦半径公式可知:1322A AF y =+=,解得1A y =,故222A A x y ==,故A x =所以AOF 的面积为11122224A OF x ⋅=⨯=,B 正确;若0OA OB ⋅= ,则0A B A B x x y y +=,即22104A B A B x x x x +=,解得:4A B x x =-,则4A B y y =,故()()()2222222223232A A B B AB A B OA OB x y x y x y y x ⋅=++=++≥+32264A B A B x x y y =+⋅=,故8OA OB ⋅≥,当且仅当A B A B x y y x =时,等号成立,C 错误;过点A 作1AA ⊥l 于点1A ,过点B 作1BB ⊥l 于点1B ,设,AF a BF b ==,所以2a b DE +=,因为()2222222cos AB a b ab AFB a b ab a b ab=+-∠=++=+-()()22223342a b a b a b DE ++⎛⎫≥+-== ⎪⎝⎭,所以AB ≥,AB DE .故选:BD【点睛】圆锥曲线中最值或范围问题的常见解法:(1)几何法,若题目的条件和结论能明显体现几何特征和意义,则考虑利用几何法来解决;(2)代数法,若题目的条件和结论能体现某种明确的函数关系,则可首先建立目标函数,再求这个函数的最值或范围.11.如图,正方体1111ABCD A B C D -中,顶点A 在平面α内,其余顶点在α的同侧,顶点1,,B C A 到α的距离分别为1,2,3,则()A.BD 平面αB.平面1A AC ⊥平面αC.直线1AB 与α所成角比直线1AA 与α所成角大D.【答案】ABD【分析】根据点到面的距离的性质,结合线面垂直的判定定理、线面角的定义、面面相交的性质进行求解判断即可.【详解】解:设,AC BD 的交点为O ,显然O 是AC 、BD 的中点,因为平面ABCD A α= ,C 到平面α的距离为2,所以O 到平面α的距离为1,又B 到平面α的距离为1,所以//BO 平面α,即//BD 平面α,即A 正确;设平面ABCD l α= ,所以//BD l ,因为ABCD 是正方形,所以AC BD ⊥,又因为1AA ⊥平面ABCD ,BD ⊂平面ABCD ,所以1AA BD ⊥,因为11,,AA AC A AA AC ⋂=⊂平面1A AC ,所以BD ⊥平面1A AC ,因此有l ⊥平面1A AC ,而l ⊂α,所以平面1A AC ⊥平面α,因此选项B 正确;设1B 到平面α的距离为d ,因为平面11AA B B A α= ,11AA B B 是正方形,点1A ,B 到α的距离分别为3,1,所以有31422d d +=⇒=,设正方体1111ABCD A B C D -的棱长为a,设直线1AB 与α所成角为β,所以1422sin AB a β===,设直线1AA 与α所成角为γ,所以133sin AA aγ==,因为3>sin sin βγβγ<⇒<,因此选项C 不正确;因为平面1A AC ⊥平面α,平面1A AC ⋂平面A α=,所以1,C A 在平面α的射影,E F 与A 共线,显然1112,3,,,CE A F AC AA a AA AC ====⊥,如图所示:由11ECA CAE CAE A AF ECA A AF ∠+∠=∠+∠⇒∠=∠,111cos ,sin A F CE ECA A AF AC AA ∠=∠=,由2212249cos sin 112ECA A AF a a a∠+∠=⇒+=⇒=,因此选项D 正确,故选:ABD 12.已知a ,b 为正实数,且26ab a b ++=,则()A.ab 的最大值为2B.2a b +的最小值为5C.1211a b +++的最小值为98D.()0,3a b -∈【答案】AC【分析】由已知条件结合基本不等式及相关结论分别检验各选项即可求解.【详解】依题意,对于A :因为26ab a b ++=,所以62ab a b ab =++≥+,当且仅当2a b =时取等号,令0t =>,则有260t +-≤,解得t -≤≤,又因为0t =>,所以0t <≤,即0<≤ab 的最大值为2,故A 选项正确;对于B :因为26ab a b ++=,所以()221162222224a b ab a b ab a b a b +=++=⨯++≤+,当且仅当2a b =时取等号,令20t a b =+>,则有28480t t +-≥,解得4t ≥或t 12≤-(舍去),即24a b +≥,所以2a b +的最小值为4,故B 选项错误;对于C :因为26ab a b ++=,所以12111888b b a ++==++,所以81221119888111a b b b +++≥=+++=++,当且仅当2118b b +=+,即3b =时等式成立,所以1211a b +++的最小值为98,故C 选项正确;对于D :当14a =,225b =时,()4.150,3a b -=∉,所以D 选项错误;故选:AC.三、填空题(本题共4小题,每小题5分,共20分.)13.设直线10x y ++=是曲线ln y a x =-的一条切线,则=a _________.【答案】2-【分析】设切点为()00,x y ,根据导数的几何意义求出切点的横坐标,再根据切点即在曲线上又在切线上即可得解.【详解】设切点为()00,x y ,1y x '=-,则0011x x y x ==-=-',所以01x =,所以切点为()1,a ,又切线为10x y ++=,所以110a ++=,解得2a =-.故答案为:2-.14.楼道里有8盏灯,为了节约用电,需关掉3盏互不相邻的灯,则关灯方案有_________种.【答案】20【分析】根据题意,原问题等价于在5盏亮灯的6个空隙中插入3盏不亮的灯,由组合公式计算即可求解.【详解】依题意,原问题等价于在5盏亮灯的6个空隙中插入3盏不亮的灯,则有36C 20=种方案.故答案为:20.15.过双曲线C :()222210,0x y a b a b-=>>右焦点F 作直线l ,且直线l 与双曲线C 的一条渐近线垂直,垂足为A ,直线l 与另一条渐近线交于点B .且点A ,B 位于x 轴的异侧,O 为坐标原点,若OAB 的内切圆的半径为23b ,则双曲线C 的离心率为__________.【答案】【分析】作出图象,设OAB 的内切圆的圆心为M ,易知M 在AOB ∠的平分线Ox 上,过M 分别作MN OA ⊥于N ,MT AB ⊥于T ,则有四边形MTAN 为正方形,则2||||3b NA MN ==,2||3b ON a =-,由tan MNb AOF ON a ∠==,可得2a b =,由斜率公式即可得答案.【详解】解:如图所示:设A 在第一象限,由题意可知22bc AF d b a b ===+,其中d 为点(c,0)F 到渐近线b y x a =的距离,||OF c =,所以2222||||||OA OF AF c b a =-=-,设OAB 的内切圆的圆心为M ,则M 在AOB ∠的平分线Ox 上,过M 分别作MN OA ⊥于N ,MT AB ⊥于T ,又因为FA OA ⊥于A ,所以四边形MTAN 为正方形,所以2||||3b NA MN ==,所以2||||||3b ON OA NA a =-=-,又因为2||3tan 2||3b MN b AOF b ON a a ∠===-,所以2233a b a =-,2a b =,所以22225c a b b =+=,所以5c b =,所以5522c b e a b ===.故答案为:52.16.小说《三体》中,一个“水滴”摧毁了人类整个太空舰队,当全世界第一次看到“水滴”的影像时,所有人都陶醉于它那绝美的外形.这东西真的是太美了,像梦之海中跃出的一只镜面海豚,仿佛每时每刻都在宇宙之夜中没有尽头地滴落着.有科幻爱好者为“水滴”的轴截面设计了二维数学图形,已知集合()()(){}22,cos sin 4,0P x y x y θθθπ=-++=≤≤.由集合P 中所有的点组成的图形如图中阴影部分所示,中间白色部分就如美丽的“水滴”.则图中“水滴”外部阴影部分的面积为_________.【答案】16π33+【分析】根据图形与()()(){}22,cos sin 4,0πP x y x y θθθ=-+-=≤≤,建立直角坐标系,画出图形,求出相应的坐标,先求第一、二象限的阴影面积,再求第三象限的阴影面积,再求和即可求解.【详解】根据题意,建立直角坐标系,如图所示:在方程()()22cos sin 4x y θθ-+-=,0πθ≤≤中,令0x =,则有222cos 2sin sin 4y y θθθ+-+=,所以12sin y yθ=-,其中0πθ≤≤,所以[]sin 0,1θ∈,所以[]12sin 0,2y y θ=-∈,解得3,13,3y ⎡⎤⎤∈-⎣⎦⎦ ,所以(3A ,()0,3E ,()0,1G -,(0,3D ,令0θ=,则有()2214x y -+=,所以()1,0C ,()3,0N ,令πθ=,则有()2214x y ++=,所以()1,0B -,()3,0M -.由()3,0M -,()3,0N ,()0,3E 易得 MEN与线段MN 组成的图形为229x y +=的上半圆,由此可知,在第一、第二象限中的阴影面积是由229x y +=的上半圆减去()2214x y -+=上半圆与()2214x y ++=上半圆相交的部分形成,即 BAC与线段BC 组成的面积,设为S 水滴上部.由(A ,()1,0B -,()1,0C 三点易得ABC 为边长为2的等边三角形,所以212ππ263ABC AnC S S =⨯⨯-=- 弓形所以4π23ABC AnC S S S =+=弓形水滴上部,设第一、二象限的阴影面积为1S ,则19π9π4π19π2236S S =-=-++水滴上部.由()1,0B -,()1,0C ,()0,1G -易得 BGC与线段BC 组成的图形为221x y +=的下半圆,设在第三象限中的阴影面积为2S ,则有2π4MOD MpD S S S =+-弓形,由图知11333222MOD S MO OD =⨯⨯=⨯=11222MBD S MB OD =⨯⨯=⨯⨯ ,2π3MBD ∠=,所以214ππ233MBD MpD S S =⨯⨯-=- 弓形,所以2π4ππ13π4234122MOD MpD S S S =+-=-=+ 弓形,所以图中“水滴”外部阴影部分的面积为:1219π13π316π2261223S S S ⎛=+=+⨯+=+ ⎝⎭故答案为:16π3+.【点睛】本题考查了圆与三角函数综合的知识点,可以根据图形的对称性建立直角坐标系,将图形转化为实际的数据,割补法是求阴影面积常用的方法,需要考生有一定的分析转化能力.四、解答题(本题共6小题,共70分.解答应写出文字说明、证明过程或演算步骤.)17.记n S 为正项数列{}n a 的前n 项和,已知1n a +是4与n S 的等比中项.(1)求{}n a 的通项分式;(2)证明:2222123111154n a a a a +++⋅⋅⋅+<.【答案】(1)21n a n =-(2)证明见解析【分析】(1)由等比中项得()214n n a S +=,进而由递推式计算出11a =,并得到12n n a a --=,得数列{}n a 是等差数列,进而可求解;(2)由()22111114121n a n n n ⎛⎫=<- ⎪-⎝⎭-,从第二项开始放缩即可证明.【小问1详解】∵1n a +是4与n S 的等比中项,∴()214n n a S +=①.当1n =时,()2111144a S a +==,∴11a =.当2n ≥时,()21114n n a S --+=②,由①-②得,()()()22111144n n n n n a a S S a --+-+=-=,∴()()1120n n n n a a a a ----+=,∵0n a >,∴12n n a a --=,∴数列{}n a 是首项为l ,公差为2的等差数列,∴{}n a 的通项公式21n a n =-.【小问2详解】由(1)得2111a =,当2n ≥时,()22221111111441444121n a n n n n n n n ⎛⎫==<=- ⎪-+--⎝⎭-,∴22222221232311111111n na a a a a a a +++⋅⋅⋅+=+++⋅⋅⋅+1111111115151114122314444n n n n ⎡⎤⎛⎫⎛⎫⎛⎫⎛⎫<+-+-+⋅⋅⋅+-=+-=-< ⎪ ⎪ ⎪ ⎪⎢⎥-⎝⎭⎝⎭⎝⎭⎝⎭⎣⎦18.已知a ,b ,c 分别为ABC 三个内角A ,B ,C的对边,且cos sin a C C b c +=+.(1)求A ;(2)已知ABC 的面积为334,设M 为BC的中点,且AM =,BAC ∠的平分线交BC 于N ,求线段AN 的长度.【答案】(1)π3A =(2)5AN =【分析】(1)根据题意,由正弦定理的边角互化将原式化简,再结合三角恒等变换即可求得结果;(2)根据题意,可得()22222242AM AB AC AB AB AC AC c b bc =+=+⋅+=++ ,再结合三角形的面积公式,代入计算,即可得到结果.【小问1详解】由题意知ABC 中,cos sin a C C b c +=+,由正弦定理边角关系得:则sin cos sin A C A C ()sin sin sin sin sin cos cos sin sin B C A C C A C A C C =+=++=++,sin cos sin sin A C A C C =+,∵()0,πC ∈,∴sin 0C ≠cos 1A A -=,∴π2sin 16A ⎛⎫-= ⎪⎝⎭,∴π1sin 62A ⎛⎫-= ⎪⎝⎭,又()0,πA ∈,ππ5π,666A ⎛⎫-∈- ⎪⎝⎭,所以ππ=66A -,即π3A =.【小问2详解】如下图所示,在ABC 中,AM 为中线,∴2AM AB AC =+,∴()22222242AM AB AC AB AB AC AC c b bc =+=+⋅+=++ ,∴2212b c bc ++=.∵334ABC S =△,∴1sin 244bc A ==,3bc =,∴b c +==,∵ABC ABN ACN S S S =+△△△,∴()331π15sin 4264b c AN AN =+=,∴355AN =.19.近日,某芯片研发团队表示已自主研发成功多维先进封装技术XDFOI,可以实现4nm 手机SOC 芯片的封装,这是中国芯片技术的又一个重大突破,对中国芯片的发展具有极为重要的意义.可以说国产4nm 先进封装技术的突破,激发了中国芯片的潜力,证明了知名院士倪光南所说的先进技术是买不来的、求不来的,自主研发才是最终的出路.研发团队准备在国内某著名大学招募人才,准备了3道测试题,答对两道就可以被录用,甲、乙两人报名参加测试,他们通过每道试题的概率均为()01p p <<,且相互独立,若甲选择了全部3道试题,乙随机选择了其中2道试题,试回答下列问题.(所选的题全部答完后再判断是否被录用)(1)求甲和乙各自被录用的概率;(2)设甲和乙中被录用的人数为ξ,请判断是否存在唯一的p 值0p ,使得() 1.5E ξ=?并说明理由.【答案】(1)甲被录用的概率为2332p p -,乙被录用的概率为2333p p -(2)不存在;理由见解析【分析】(1)分析已知,甲被录用符合二项分布,乙被录用符合组合排列,分别利用对应求概率公式计算即可.(2)先分析ξ的可能取值,然后分别求解对应概率,再利用离散型数学期望的公式表示出数学期望,然后构造函数,利用求导分析函数单调性,进而判断即可.【小问1详解】由题意,设甲答对题目的个数为X ,得()~3,X B p ,则甲被录用的概率为()2232313C 132P p p p p p =-+=-,乙被录用的概率为()222332C 133P p p p p =-=-.【小问2详解】ξ的可能取值为0,1,2,则()()()12011P P P ξ==--,()()()1212111P P P P P ξ==-+-,()122P PP ξ==,∴()()()()()121212*********E P P P P P P PPξ=⨯--+⨯-+-+⨯⎡⎤⎣⎦23232312323365 1.5P P p p p p p p =+=-+-=-=,32101230p p ∴-+=,设()()321101230f p p p p +=<<-,则()23024f p p p '=-.∴当405p <<时,()f p 单调递减,当415p <<时,()f p 单调递增,又()03f =,()11f =,4110525f ⎛⎫=> ⎪⎝⎭,所以不存在p 的值0p ,使得()00f p =.20.如图,四棱锥P ABCD -的底面ABCD 是边长为2的正方形,2PA PB ==.(1)证明:PAD PBC ∠=∠;(2)当直线PA 与平面PCD 所成角的正弦值最大时,求此时二面角P AB C --的大小.【答案】(1)证明见解析(2)6π【分析】(1)分别取AB ,CD 的中点E ,F ,连接PE ,EF ,PF ,证明出PC PD =,可得PAD PBC ≌△△,由此可证得结论成立;(2)先根据条件推出PEF ∠为二面角P AB C --的平面角,设PEF α∠=,建立空间直角坐标系,利用空间向量法结合基本不等式求出直线PA 与平面PCD 所成角的正弦值的最大值,求出对应的角的值,即可求解.【小问1详解】分别取AB ,CD 的中点E ,F ,连接PE ,EF ,PF ,∵PA PB =,E 为AB 的中点,∴PE AB ⊥.∵四边形ABCD 为正方形,则AB CD ∥且AB CD =,∴CD PE ⊥.∵E ,F 分别为AB ,CD 的中点,∴EF AD ∥,∴EFCD ⊥,∵EF PE E ⋂=,∴CD ⊥平面PEF .∵PF ⊂平面PEF ,∴CD PF ⊥.在PCD 中,∵F 为CD 的中点,CD PF ⊥,∴PC PD =.又∵PA PB =,AD BC =,∴PAD PBC ≌△△,从而可得PAD PBC ∠=∠.【小问2详解】由(1)可知PE AB ⊥,EF AB ⊥,∴PEF ∠为二面角P AB C --的平面角,且223PE PA AE =-=,以点E 为坐标原点,EB ,EF 所在直线分别为x ,y 轴建立如下图所示的空间直角坐标系,设PEF α∠=,其中0απ<<,则()1,0,0A -,()1,0,0B ,()1,2,0C ,()1,2,0D -,()0,2,0F,(),P αα,()AP αα= ,()2,0,0DC =uuu r,()FP αα=- .设平面PCD 的法向量为(),,n x y z = ,由00n DC n FP ⎧⋅=⎪⎨⋅=⎪⎩,即202)0x y z αα=⎧⎪⎨-⋅=⎪⎩,取y α=,则2z α=-,0x =,∴(),2n αα=- ,cos ,n AP n AP n AP ⋅<>==⋅=令(77t α-=∈-+,则cos α=,则cos ,2n AP <>= ,当且仅当1t =时,即当3cos 2α=时,即当6πα=时,等号成立.所以当直线PA 与平面PCD 所成角的正弦值最大时,二面角P AB C --为6π.21.已知()1,0F -,D 是圆C :()22116x y -+=上的任意一点,线段DF 的垂直平分线交DC 于点P .(1)求动点P 的轨迹Γ的方程:(2)过点(),0M t 的直线l 与曲线Γ相交于A ,B 两点,点B 关于x 轴的对称点为B ',直线AB '交x 轴于点N ,证明:OM ON ⋅为定值.【答案】(1)22143x y +=(2)证明见解析【分析】(1)由中垂线性质,可知42PC PF PC PD DC FC +=+==>=,得动点P 的轨迹以C ,F 为焦点的椭圆;(2)将直线l 与曲线Γ方程联立,利用韦达定理及题目条件表示出点N 坐标,后可得答案.【小问1详解】圆C :()22116x y -+=,圆心为()1,0,半径为4,因为线段DF 的垂直平分线交DC 于P 点,所以PD PF =,所以42PC PF PC PD DC FC +=+==>=,所以由椭圆定义知,P 的轨迹是以C ,F 为焦点的椭圆,则242a a =⇒=,221c c =⇒=,2223b a c =-=.故轨迹方程为:22143x y +=.【小问2详解】依题意,直线l 不垂直于坐标轴,设直线l 的方程为()0x my t m =+≠,将其与Γ方程联立:22143x my t x y =+⎧⎪⎨+=⎪⎩,消去x 得()2223463120m y mty t +++-=.方程判别式()2248430m t +->,设()11,A x y ,()22,B x y ,则()22,B x y '-,由韦达定理有122634mt y y m -+=+,212231234t y y m -=+,则直线AB '的方程为()121112y y y y x x x x +-=--,令()1212211212N 121212202my y t y y x y x y y y y x m t y y y y y y +++=⇒===⋅++++2312426t m t mt t -=⋅+=-,则40,N t ⎛⎫ ⎪⎝⎭,得()400,,,OM t ON t ⎛⎫== ⎪⎝⎭.∴44OM ON t t⋅=⋅= .即OM ON ⋅ 为定值4.22.已知函数()1e ln ax f x x x-=+,a ∈R .(1)当1a =时,求函数()f x x -的最小值;(2)若函数()f x x的最小值为a ,求a 的最大值.【答案】(1)0(2)1【分析】(1)当1a =时,令()()F x f x x =-,求得()()()121e x x x x F x --=-',根据()F x '在不同区间的符号判断()F x 的单调性,由单调性即可求出()()F x f x x =-的最小值;(2)将()≥f x a x 等价变换为()0f x ax -≥,借助第(1)问中判断()()()121e x x x x F x --=-'的符号时构造的()1e x g x x -=-在1x =时取最小值,取()ln g ax x -,将问题转化为ln 1ax x -=有解问题即可.【小问1详解】当1a =时,令()()1e ln x x x F xf x x x-+=--=,()0,x ∈∞,则()()()()()11112221e e 11e e 11x x x x x x x x x x x xF x x x ------+-'==-⋅-+-=,令()1e x g x x -=-,x ∈R ,则()1e 1x g x -'=-,易知()g x '在R 上单调递增,且()10g '=,∴当()0,1x ∈时,()0g x '<,()g x 在区间()0,1上单调递减,且()()110e x g x x g -=->=,当()1,x ∈+∞时,()0g x '>,()g x 在区间()1,+∞上单调递增,且()()110ex g x x g -=->=,∴当()0,1x ∈时,()()()121e 0x x x F x x --'=-<,()F x 在区间()0,1上单调递减,当()1,x ∈+∞时,()()()121e 0x x x F x x --'=->,()F x 在区间()1,+∞上单调递增,当1x =时,()F x 取得极小值,也是最小值,()()11min e 1ln1101F x F -==+-=,∴当1a =时,函数()f x x -的最小值为0.【小问2详解】由已知,()f x 的定义域为()0,∞+,若函数()f x x 的最小值为a ,则有()≥f x a x,∴()f x ax ≥,()0f x ax -≥,令()()h x f x ax =-,即()()1e ln ax x ax h x x ax xf -+=--=的最小值为0,由第(1)问知,当且仅当1x =时,()1e xg x x -=-取最小值()10g =,∴当且仅当ln 1ax x -=时,()ln g ax x -取得最小值0,又∵()()()l 1l 1n 1n n e e ln l ln ln e e ax ax ax x x g ax x ax x x ax x ax h x x-----=--=+-=-=,∴只需令ln 1ax x -=有解,即ln 1x a x +=有解,令()ln 1x H x x +=,()0,x ∈+∞,则()()221ln 1ln x x x x H x x x ⋅-+'==-,当()0,1x ∈时,()2ln 0x H x x'=->,()H x 在区间()0,1上单调递增,当()1,x ∈+∞时,()2ln 0x H x x '=-<,()H x 在区间()1,+∞上单调递减,∴()()ln 111x a H x H x+==≤=,综上所述,若函数()f xx的最小值为a,则a的最大值为1.【点睛】在导数压轴题中,常常会使用前问的结论或某一步构造的函数,解决后面的问题.本题第(2)问中直接求导分析()()1e lnaxx axh x x axxf-+=--=的单调性较为困难,这里使用了换元思想,借助第(1)问构造的()1e xg x x-=-,使()()lng ax x h x-=,以达到简化运算的目的.。

湖南省长沙市第一中学2022-2023学年高三下学期月考卷(六)语文含答案

湖南省长沙市第一中学2022-2023学年高三下学期月考卷(六)语文含答案

长沙市一中2023届高三月考试卷(六)语文时量:150分钟满分:150分得分: _______一、现代文阅读(35分)(一)现代文阅读(本题共5小题,17分)阅读下面的文字,完成1~5题。

材料一:在《红楼梦》,那可说而未经人说的就是那悲剧之演成。

悲剧为什么演成?辛酸泪的解说在哪里?曰:一在人生见地之冲突,一在兴亡盛衰之无常。

我们先说第一个。

“天地生人,除大仁大恶,余者皆无大异。

”仁者秉天地之正气,恶者秉天地之邪气,至于那第三种却是正邪夹攻中的结晶品。

《红楼梦》中的贾宝玉、林黛玉便是这第三种人的基型。

普通分三种人为善恶与灰色。

悲剧之演成常以这三种人的互相攻伐而致成,惟《红楼梦》之悲剧,不是如此。

《红楼梦》里边,没有大凶大恶的角色,也没有投机骑墙的灰色人。

悲剧之演成,既然不是善恶之攻伐,然则是由于什么?曰:这是性格之不同,思想之不同,人生见地之不同。

在为人上说,都是好人,都是可爱,都有可原谅可同情之处,惟所爱各有不同,而各人性格与思想又各互不了解,各人站在个人的立场上说话,不能反躬,不能设身处地,遂至情有未通,而欲亦未遂。

悲剧就在这未通未遂上各人饮泣以终。

这是最悲惨的结局。

在当事人,固然不能无所恨,然在旁观者看来,他们又何所恨?希腊悲剧正与此同。

国王因国法而处之于死地,公主因其为情人而犯罪而自杀,其妹因其为兄长而犯罪而自杀。

发于情,尽于义,求仁而得仁,将何所怨?是谓真正之悲剧。

善恶对抗的悲剧是直线的,显然的;这种冲突矛盾所造成的悲剧是曲线的,令人失望的。

《红楼梦》写悲剧已奇了,复写成思想冲突的真正悲剧更奇,《红楼梦》感人之深即在这一点。

(摘编自牟宗三《(红楼梦)悲剧之演成》)材料二:鲁迅先生曾经说,“悲剧就是将人生有价值的东西毁灭给人看”。

有意义的人生一定建立在对某些价值的相信之上,正因为如此,价值的毁灭才构成真正的悲剧。

以曹雪芹笔下的金陵十二钗为例,她们认同不同的价值,选择不同的生活,但所有的这些价值最后都无一例外地落空。

湖南省长沙市第一中学2024-2025学年高三上学期月考卷(二)历史(含答案)

湖南省长沙市第一中学2024-2025学年高三上学期月考卷(二)历史(含答案)

炎德 ·英才大联考长沙市一中2025届高三月考试卷(二)历 史审题人:刘洋满分:100分得分第I 卷 选 择 题(共48分)一、选择题(本题共16小题,每小题3分,共48分。

在每小题给出的四个选项中,只有一项是符合题 目要求的)1.2023年,湖南省文物考古研究院再次对华容七星墩遗址进行考古发掘。

先后共清理了瓮棺葬26 座,其中有8座出土玉器,包括玉人、玉凤、玉蝉、玉钺、玉壁、玉锥形器、玉珠管等(见下图)。

这些分层埋置的玉器材质多样、造型精巧、种类丰富,几乎没有完整的器件。

七星墩遗址A.属于旧石器时代遗址C.说明南北方葬制相同D.是中原文化重要类型2.周公主张“敬德保民”,孔子说:“天何言哉?四时行焉,百物生焉”,董仲舒主张“天人感应”。

他们 思想的一致性在于A. 以民为本B. 敬畏天命C. 替天行道D. 理生万物 3.据史料记载:约公元前1048年,“武王观兵孟津,诸侯不期而会者八百”。

八百诸侯会孟津 的故事说明A.商朝面临统治危机B.周朝分封了大量诸侯C. 春秋战国战乱频仍D.封建经济具有分散性4.某思想家说:“当察乱何自起,起不相爱”“若使天下兼相爱……君臣父子皆能孝慈,若此则天下 治。

”他的思想体系属于A. 儒家B. 道家C. 墨 家D.法家5.战国后期,荀子到秦国访问。

他对人讲述访问观感时说:“(秦)其固塞险,形势便,山林川谷美,天 材之利多,是形胜也。

入境,观其风俗,其百姓朴……观其朝廷,其间听决百事不留,恬然如无治 者,古之朝也。

故四世有胜,非幸也,数也。

”荀子认为秦国崛起主要得益于 学 校 班 级 姓 名 学 号命题人:杨文 时量:75分钟 B. 已呈现贫富分化趋势密 封不 要答6.下图里耶秦简的释文为:“东成户人士五夫,妻大女子沙,子小女子泽若,子小女子伤。

”由此判断, 它是A. 最早的户籍登记B.赋役繁重的证据C.秦律中一个案例D. 基层治理的基础7.西汉刘向说:“田氏取齐,六卿分晋,道德大废,上下失序……并大兼小,暴师经岁,流血满野。

长沙市一中2024高三月考卷二英语

长沙市一中2024高三月考卷二英语

长沙市一中2024高三月考卷二英语A shimmering morning in spring cast its luminous rays on the grand edifice of Changsha No. 1 High School. The hallways hummed with anticipation as the students of the senior class prepared for their monthly English examination. The air was charged with determination, a collective resolve to conquer the linguistic challenges that lay ahead.As the clock struck the appointed hour, the sound of rustling papers echoed through the classrooms. Pens poised, minds focused, and hearts resolute, the students embarked on a journey through the intricate realms of the English language. The examination paper, meticulously crafted by the esteemed faculty, was a testament to the school's unwavering commitment to academic excellence.The questions unfolded like a tapestry, each one a testament to the breadth and depth of the language. From the intricacies of grammar to the nuances of vocabulary, from the art of composition to the intricacies of comprehension, the examination challenged the students to reach new heights of linguistic prowess.In one corner of the classroom, a diligent student pored over thepassage, their brow furrowed in concentration as they grappled with the nuances of syntax and semantics. With each word they deciphered, they unlocked a new layer of meaning, unveiling the rich tapestry of ideas that lay beneath the surface.Across the aisle, another student's pen danced across the page, weaving intricate narratives and crafting compelling arguments. Their command of the language was a testament to the hours spent immersed in the written word, their mind a wellspring of eloquence and creativity.As the minutes ticked by, the classrooms resounded with the scratch of pens on paper, the occasional sigh of contemplation, and the whisper of determination. The students, fueled by a thirst for knowledge and a desire to excel, poured their hearts and souls into every word they penned.Through the twists and turns of the examination, they navigated the intricacies of language with unwavering resolve. Questions that once seemed daunting became opportunities for growth, challenges to be embraced and conquered with the power of their intellect and the depth of their understanding.As the final seconds ticked away, the students savored the satisfaction of a battle well-fought. They had ventured into thedepths of the English language, emerging triumphant, their minds enriched and their spirits emboldened by the experience.In the corridors of Changsha No. 1 High School, the echoes of this examination would reverberate for years to come. It was a testament to the students' dedication, the faculty's unwavering guidance, and the institution's commitment to nurturing the leaders of tomorrow. For in these hallowed halls, the art of language was not merely a subject to be studied but a gateway to boundless possibilities, a passport to a world of knowledge and understanding that transcended borders and cultures.。

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湖南省长沙市一中高三第六次月考英语2高考英语2014-01-07 2014B. notices that his weight remains the sameC. realizes that he doesn’t have to change his jobD. deals with a lot of changes negatively.59. Judging from the context, the underlined word “ease” most probably means __________.A. making more comfortableB. making less difficultC. making less seriousD. making less complicated60. From the passage we can infer that __________.A. it’s dangerous for a man to be u nder stress from work for a long timeB. it’s likely for a man to be free from stress if he lives a healthy life[来源Z§xx§]C. it’s very stressful for a working man to share the care of children with his wifeD. it’s common for a man to be the only wage-earner in a family nowadaysBFor many of us, cartoon strips are simply one of our pastimes. The popular Japanese manga(漫画) provides us with an escape from reality into a world of fantasy, adventure and romance. With much less text and pictures running for pages, it fits perfectly into today's fast, throwing away city lifestyle.But Tsai Chih-chung, a famous Taiwanese illustrator (漫画家), doesn't agree. He believes cartoons can be a bridge connecting traditional Chinese culture a nd wisdom with the modern world in a much wittier and more acceptable way.He has interpreted Lao Zi, Confucius, Mencius, Zhuang Zi and Sun Zi and made their works accessible to a global audience. He has also produced two books about Zen (禅宗), introducing oriental philosophy. His cartoons are humorous yet full of wisdom and are admired as an easy way to learn Chinese classics.After avoiding the public for ten years, Tsai made a comeback in late April with seven new works. But does his age, 61, work as a gap between him and his young readers? Tsai doesn't think so. The topics he has covered range from philosophy in a time of individuality tothe learning and memorizing techniques used at school. "Every childis a genius and has the potential beyond his own imagination," he said.If popular Japanese manga is purely for entertainment, Tsai's work,to a large extent, is to light the power of thinking in a light-hearted way. Tsai uses different forms of water to refer to people.In his eyes some people are like an ocean, some are like vapor (水蒸汽), while others may be ice or rain. But in essence they share a similarity – human being's forever chasing for the true and the good. "The person who thinks over life iss ues is not necessarily a scholar or a philosopher," he said. "I've dedicated my whole life to thinking and individual freedom, not making a living."61. What is the main idea of the first paragraph in the passage?A. Japanese manga is a simple way of killing time.B. What Japanese manga is mainly about.C. Japanese manga presents a world of fantasy, adventure and romance.D. Why Japanese manga is so popular.62. The underlined word “it” in p aragraph 1 refers to___________.A. much less textB. Japanese mangaC. pictures running for pagesD. an escape from reality63. In Tsai Chih-chung’s opinion, cartoon ___________.A. connects traditional Chinese culture and wisdom.B. helps connect Chinese classics with modern world.C. uses a wiser and acceptable way to draw cartoons.D. builds up a bridge between cartoons and illustration.64. What is the main difference between Japanese manga and Tsai’s works in this passage?A. His works are mainly designed for a pure time killer for all.B. His works are more popular with young readers in China now.C. His works are to inspire people to think in a cheerful way.D. His works are much more interesting and instructive.65. According to the passage, which of the following is TRUE about Tsai Chih-chung?A. He thinks some people are like ocean, some like vapor, while others like ice cream.B. He says that one who thinks over life is either a scholar or a philosopher.C. He values more thinking and personal freedom than making a living.D. Tsai devoted his life to creating cartoons in order to make money.CHappiness and sadness are states of being that define the way we view the world. It is often said that some people by nature have a sunny character. Now scientists may have discovered why.Some people may be born for happiness, while others are genetically negative, scientists have suggested in a study published lateFebruary in a British journal.Earlier research had already established that the gene known as 5-HTTLPR plays a key role in determining how the neurotransmitter (神经传递素) serotonin (含于血液中的复合胺) works within the brain. Serotonin, a hormone (荷尔蒙), passes chemical messages between nerve cells. It has been closely linked to mood. Several anti-depressant (抗抑郁) drugs regulate serotonin levels. Scientists had alsoidentified three variants (变体) of the gene. Two so-called "short" variants were linked to a higher risk of depression and suicide attempts. Unlike the two "short" variants, the "long" variant of 5-HTTLPR showed a clear dislike of negative images, such as fierce animals, and a clear liking for positive ones, such as flowers.Researchers from the University of Essex in Britain, led by Elaine Fox, showed participants a series of images. The images were divided into three kinds negative ones aimed at inspiring fear or stress such as a spider or person about to commit suicide, pleasant ones and neutral (中性的) ones. The participants who had the long variant of the 5-HTTLPR gene "showed a clear dislike of negative material alongside a careful attention for positive material," the researchers found. They paid close attention to the pretty pictures, and ignored the frightening ones. On the other hand, the short variant groups had the opposite reaction.In January, the Australian government organized "happiness workshops", teaching government staff how to be happy. The department that held the "happiness workshops" said unhappy staff weren't productive staff. Australian political opposition parties have argued that the "happiness workshops" are probably a waste of money and couldn't increase productivity as intended. However, whether the workshop will have a happy or disappointing result, we will have to wait and see.66. For the passage,by what means can we view the world?A. Happiness andsadness. B. Happiness and curiosity.C. Sadness andamazement. D. Disappointment and sadness.67. What is most important in the role of deciding how the the neurotransmitter serotonin works within the brain?A. The gene known as 5-HTTLPR.B. Three variants.C. Neurotransmitterserotonin . D. A hormone.68. Which of the following sentences is WRONG?A. Serotonin, a hormone within the brain., passes chemical messages between nerve cells, which has been closely linked tomood.B. Scientists identified the two "short" variants, and the "long" variant of 5-HTTLPR which showed a clear hatred of negative images, such as fierce animals.C. Scientists identified three variants of the gene. Two so-called "long" variants were linked to a higher risk of depression and murder attempts.D. In terms of researchers’ research, the images were divided into three kinds negative ones, pleasant ones and neutral ones.69. Why did the Australian government organize “Happiness workshops”?A. To enrich staff’s freelife.B. To teach staff the ways to be happy.C. To prove the result of the re searchers’ research.D. To test who weren’t productive staff.70. What is the result of setting up “Happiness workshops” according to the last paragraph?A. A waste ofmoney.B. No effect on increasing productivity.C. A disappointing result .D. An uncertain result.PART FOUR WRITINGSECTION ADirections Read the following passage. Complete the diagram / Fill in the numbered blanks by using the information for the passage.Write NO MORE THAN 3 WORDS for each answerIt's every student's dream to do well in the national college entrance examination and enter a good university. In the eyes of students and parents, a good university should have a high ranking, and the employment rate of its graduates should be high. But be careful! The employment rate they tell you might not always be true.Recently, people created a Chinese phrase "bei jiuye", which has become popular on the Internet almost overnight across China. The word "bei" has a grammatical use in Chinese it has a function similar to the passive voice in English. But now people often use it to express their doubts about something. Here, the phrase "bei jiuye" has the literal meaning of "to be hired", but people understand that it really means "to be hired without one's knowledge" or "be hiredfor jobs that may not exist at all".The story of "bei jiuye" goes like this. Zhao Dongdong, a graduate of a university in Shanxi province, was surprised to find that he got a job from a company he never applied to, which he wasn't even sure was a real place. On his last day of graduation ceremonies, he was surprised to come across the employment contract."God! At that time, I had not landed a job yet, but they gave me an employment contract! I wondered who on earth signed the contract with the company." When Zhao made a phone call to the company to check it out, no one answered.He was not the only one in his college who was "hired" for a job that did not exist. One of his classmates signed a contract with a company called Xi'an Beilin Industrial Corporation, which could not be found on the Internet either. In the end, it turned out that the college had faked the contract to make it seem like the employment rate for new graduates was higher than that. By doing this, the college could build up a "good" reputation that could help it attract new s tudents. "Bei jiuye" is just one of many hot "bei" words on the Internet. See some of them in "Bonus". The use of "bei" is a satirical (讽刺的) way for the public to express its helplessness and criticize abuses of power, some people say. People also use "bei" words to bringattention to social problems, hoping they will be noticed byauthorities.Standards of students ’ and parents ’ 71.________________ Having a high rankingHaving a high72._________________________73.______________ of the phrase “ Bei jiuye ” To be hired 74._________ To be hired with no knowledge or for 75.__________ jobs76.____________ of the appearance of the phrase “ Bei jiuye ”Seemingly 77. _________________ ratefor new graduatesTo 78.__________________79.__________________ to thehot phrase “Bei jiuye ”on the Internet A way of expressing helpless and80.__________________ A way of fixing attention to social problems and being noticed byauthoritiesSECTION BDirections Read the following passage. Answer the questions according to the information given in the passage and the required words limit. Write your answers on your answer sheet.NEWS FROM CCTVVisiting US President Barack Obama said that he needed to know more about China. "The reason why I come here is that I’d like to deepen my understanding of China and its vision of the future," Obama told an audience of more than 500 local youths, many of whom were students from Fudan University and Tongji University."We do not seek to impose(强加) any form of government on any other nation," Obama said, noting access to information and political participation are universal rights that guide America's openness. The China trip is also part of his first trip to Asia as president. Inhis wide-ranging speech in Japan on Saturday, Obama said he wouldwell receive an energetic China as a powerful partner on urgent challenges. "The rise of a strong, prosperous China can be a source of strength for the community of nations," he told 1,500 prominent Japanese.The ongoing event attracted more than 20140 reporters, the large majority of them from the US and the rest from China. The meeting on the fourth floor of the Shanghai Science and Technology Museum was scheduled to last for 75 minutes, with Obama speaking for 15 minutes and the an-hour-long question and answer session.Before Obama's speech, Jon Huntsman, US ambassador to China said, "the timing could not be better" for increasing bilateral relations (双边关系)at the 30th anniversary of diplomatic relations ties. Obama met local leaders in the morning. He arrived at Shanghai Pudong International Airport just after 11 pm last night. The 48-year-old, the first US president to visit China within the first year of taking office, will fly to Beijing immediately after meeting the youths.81. Why did Obama come to China? (No more than 6 words.)______________________________________________82. How long was Obama’s speech in Shanghai? (No more than 3 words.)_________________________________________________83. What was Obama’s attitude to China? (No more than 9 words.)_____________________________________________________84. How did Jon Huntsman like Obama’s visit to China? (No more than 2014 words.)_____________________________________________________SECTION CDirections Write an English composition according to the instructions given below in Chinese假如你叫李明,你的同学汤姆一年前随父母来中国,现在要回国了,请你代表全班同学起草一篇欢送辞,内容包括:1.在中国逗留期间,你们的经历;2.一年以来汤姆对你们英语学习的影响;3.你们的希望。

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