长沙市明德中学周考卷六

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湖南省长沙市明德中学4.4高二英语周考考试试卷(答案不全)

长沙市明德中学高二英语周考试卷一2020.4.2. 星期四下午3：50---4；40 满分：56分时间：50 分钟第一部分阅读理解第一节（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。

AMany people think of narcisism（自恋）as a kind of personality traits（特质）, usually with a derogatory（贬义的）sense, but it can also be a confident positive attitude. Some studies, published in 2004 in the journal Personality Processes and Individual Differences, looked at some benefits of narcissism. Hundreds of people participated. Results showed that narcissists tended to be less depressed, lonely and anxious, and reported greater well-being than people who scored low on narcissism. High narcissists may be socially unconcerned, but that is no reason for them not to be psychologically healthy. To use a far-fetched（牵强的）metaphor, the mind of a narcissist is like an SUV. It is great to be in the driving seat, but other drivers must be careful not to hit it.A 2010 study published in the journal Personality and Individual Differences, found that female college students who were slightly narcissistic were less worried about having their bodies on view while exercising in public spaces than students who weren’t narcissistic.A 2012 study published in the journal Social Psychological and Personality Science, showed that narcissism was more beneficial to younger people. For the study, 368 college students and 439 of their family members filled out surveys on narcissism, life satisfaction, and personality traits. “Our findings suggest that the link between narcissism and life satisfacti on is greater for adolescents and young adults than for adults,” the authors wrote. Specifically, participants who were younger than 26 and displayed certain types of narcissism reported higher life satisfaction and well-being.Narcissists tend to make great first impressions, but those positive impressions change quickly. Two studies published in the journal Personality and Social Psychology, found that narcissistic college students were at first treated as agreeable and well-adjusted by their peers, but interestingly, after a few weeks, those impressions became more negative: Narcissists were treated as less agreeable and well-adjusted than other students.Leaders are often narcissists according to some studies, because to lead a company, you have to be confident in your decision-making skills. These decisions also need to be smart and creative, especially in our current world where there are a million different companies producing a million different ideas. A good leader with somewhat narcissistic tendencies can help his company or organization stand out from the crowd.1. According to the passage, narcissistic people can sometimes be ________.A. more willing to drive an SUVB. more willing to be alone than other peopleC. physically healthier than other peopleD. psychologically healthier than other people2. During exercise female narcissistic college students might ________.A. worry about their figuresB. care about other students’figuresC. not attend sports activitiesD. not care what other students think3. According to the 2012 study, the narcissistic adolescents and young adults tend to ________.A. be more satisfied with life than their less narcissistic peersB. be more difficult for their peers to get along withC. have bad relationships with family membersD. have less chance to get life satisfaction than adults4. What is the main idea of the passage?A. Narcissism is seen as an important element of a healthy mind.B. Proper narcissism is good for personal development.C. Proper narcissism seems to protect against social anxiety.D. Narcissism makes people less dependent on relationships with others.BUnderstanding what teens are talking about has been a great problem for parents and teachers for ages. One high school teacher in Massachusetts found a smart solution.James Callahan of Lowell High School created a spreadsheet（电子表格）of all the spoken terms students have used along with his attempt to define them, and people on social media are having a field day. “I often overhear students i n the hallways or classrooms using words or slang terms in their personal conversations,” Callahan told reporters. “In order to understand them better and form a relationship with them on a personal level, I started asking them what certain words meant.”He even posted online a photo of a four-page document titled “Callahan’s Generation Z Dictionary”. In the left column, he typed out vocabularies like “sis” and “snack”. In the right column, he attempts to define each vocabulary using a formal interpretation of what the students say. For example, “secure(d)the bag” translates loosely into “money received”.Some people applauded the professor’s interest in teenage culture. “The typical teacher-student relationship involves a rigid power structure, but in my experience, I have found that students are more engaged and perform better if I am able to reach where they are,” Callahan said. Some students say Callahan showed the document in class so that the class could help him update the definitions of “bops” and “jams”. “Mr. Callahan asked if any enjoyable song is a ‘bop’and someone clarified, saying that the song has to be modern with the element of dancing,” one of his students said. “Mr. Callahan asked if an old song or a rock & roll piece can be a ‘bop’ to which a student answered, matter-of-factly: ‘No. That is a jam.’”Surprised at and excited about the fact that the dictionary went viral online, Callahan said the unofficial guide to teenage breaks up the lesson, gets the students involved and provides them wi th some ownership of the dictionary. “Language is so flexible, and every generation creates their own vocabulary bank of slang. The students created it and I am sort of just the recorder!”5. Why did Callahan create “Callahan’s Generation Z Dictionary”?A. To better connect with students.B. To improve students’ interest in learning.C. To help parents understand children better.D. To change the traditional teacher-student relationship.6. What does the Paragraph 3 focus on?A. The name of the dictionary.B. The structure of the dictionary.C. The photo posted on the Internet.D. The phrase of the dictionary collected.7. Which might be a “bop”according to the Callahan’s dictionary?A. Rock & roll music.B. Classical jazz music.C. Pop music with dance.D. Modern piano music.8. What does the underlined phrase “went viral” mean?A. went crazyB. became virtualC. came trueD. spread quickly第二节（共5小题；每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。

2023-2024学年湖南省长沙市长沙明德中学初中物理毕业考试模拟冲刺卷含解析

2023-2024学年湖南省长沙市长沙明德中学初中物理毕业考试模拟冲刺卷考生请注意：1．答题前请将考场、试室号、座位号、考生号、姓名写在试卷密封线内，不得在试卷上作任何标记。

2．第一部分选择题每小题选出答案后，需将答案写在试卷指定的括号内，第二部分非选择题答案写在试卷题目指定的位置上。

3．考生必须保证答题卡的整洁。

考试结束后，请将本试卷和答题卡一并交回。

一、单选题（本大题共10小题，共30分）1．甲、乙两物体同时同地开始做匀速直线运动，甲的速度大于乙的速度，它们的s-t图像为图所示a、b、c、d四条图线中的两条，运动5秒甲、乙间的距离小于10米，则A．甲的s-t图一定为图线aB．乙的s-t图一定为图线bC．甲的s-t图可能为图线cD．乙的s-t图可能为图线d2．汽车在平直公路上匀速行驶,下面图象中能正确表示汽车速度与时间关系的是A．B．C．D．3．把标有“220V 40W”的灯泡L1和“220V 60W”的灯泡L2串联接人220V电路两端，下列说法正确的是( ) A．两灯泡的额定电压都变小了B．两灯泡的额定电功率都变小了C．灯泡L1两端的实际电压比L2两端的实际电压大D．通过灯泡L1的实际电流比L2的实际电流大4．下列作图中，有错误的是：A．光的反射B．平面镜成像C．磁感线和小磁针D．力F的力臂5．A、B两个薄壁轻质圆柱形容器放置在水平桌面上，它们内部分别盛有质量相等的甲、乙两种液体，如图所示．若再向两容器内分别注入体积相同的各自原有液体后（都没有液体溢出）．关于甲、乙的密度和容器底部压强增加量的正确判断的是A．ρ甲＞ρ乙，Δp甲＞Δp乙．B．ρ甲＜ρ乙，Δp甲＞Δp乙．C．ρ甲＜ρ乙，Δp甲＜Δp乙．D．ρ甲＞ρ乙，Δp甲＜Δp乙．6．重为20牛的木块在5牛的水平拉力作用下沿水平方向作匀速直线运动。

现将水平拉力增大为10牛，则木块受到的摩擦力大小为A．20牛B．15牛C．10牛D．5牛7．都市生活离不开电梯，如图，将电梯简化为“钢绳拉着电梯箱在竖直导轨上运动”模型。

湖南省长沙市明德中学高二下学期周测数学4.1(PDF版)

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的概率为（）
明德中学高二数学周测试卷(2020.4.1)

湖南省长沙市明德中学高三上学期周考英语试题 6

高三英语小题训练Section A (15 marks)Directions: Choose the one answer that best completes the sentence.1. More than 16,000 people ___________ with Ebola and nearly 7,00 have died.A. has infectedB. have infectedC. have been infectedD. has been infected2. What do you mean, there are only 200 dollars. There ______ be 50 more.A. shouldB. willC. wouldD. shall3. Early admissions programs have become increasingly common in the US, with about two out of three of the country’s top universit ies and colleges ______ some kind of early admissions programs.A. offersB. offerC. to be offeredD. offering4. Don’t handle the vase as if it ______ made of steel.A. isB. wereC. has beenD. had been5. Some westerners, especially those______ live in cold climates wear long johns tohelp stay warm.A. of whomB. whoC. whichD. what6. — Did you tell Ellen about the news?— Oh, no, I forgot. I ______ her now.A. will callB. will be callingC. callD. am to call7. ______ you have expressed your determination, you should act immediately.A. Now thatB. Even thoughC. In order thatD. Until8. He got up late and hurried to his office, ______ the breakfast untouched.A. leftB. to leaveC. leavingD. having left9. We’ve offered her the job, but I don’t know______ or not she’ll accept it.A. ifB. whatC. whetherD. which10. It was not until late in the evening _____ her husband arrived home.A. whichB. whenC. thatD. how11. The old couple often take a walk after super in the park with their pet dog _____.A. to followB. followingC. followedD. follows12. It is reported that many a new house at present in the disaster area.A. is being builtB. are being builtC. was being builtD. were being built13. Rene left word with my secretary ______ she would call again in the afternoon.A. whoB. asC. thatD. which14. I’m sure you’d rather she went to school by bus, ______?A. hadn’t youB. aren’t’ IC. wouldn’t youD. didn’t she15. ______to work overtime that evening, I missed a wonderful film.A. Having been askedB. To askC. Having askedD. To be askedSection B Reading Comprehension (30 marks)Directions: Read the following three passages. Choose the one that fits best according to the information given in the passage.ASusan was a well-respected journalist at the Palm Beach Post, happily married with three young children, when she learned at the age of 44 that she had ALS, also known as Lou Gehrig’s disease. ALS is a gradually weakening motor neuron(神经元) disease. There is no cure and most people die of respiratory failure (呼吸衰竭) within three to five years.Susan faced a choice about how to live the rest of her life --- the same choice each of us faces every morning. Susan chose to embrace life, to focus on what she could do, and to live with joy as she so inspirationally shares in her new book, Until I say Good-Bye: My Year of Living with Joy.Susan prioritized(优先次序). She focused on doing the things she could still do before her disease eliminated(排除) those options. She traveled to the Arctic to see the Northern Lights and planned a trip with each of her two older children.The most poignant moment in the book may be when she takes her 14-year-old to New York, where they make a trip to a bridal shop (婚纱店). Susan asks her daughter to try on wedding dresses, knowing she won’t be there when she gets married.Susan writes about going for a swim in her pool, and while floating on her stomach, she realized she no longer has the strength to lift her head. After her friends pullher to safety, she realizes she can no longer swim. “So how shall I handle it? Pine for (怀念) something I can no longer do? Something I adored? No,” She writes. “For that is the path to the loony bin (疯人院). To want something you can never have.”Time is our most precious and scarcest resource. Instead of worrying about what you can no longer do, focus on what can do to add meaning and joy to your life. And don’t wait to do what you have always wanted to do. Because, as we all know, tomorrow is promised to nobody. We do have a choice, however, in how we live our lives as we age. Choose life.16. With regard to ALS, we can learn that ______.A. Susan wrote a book about ALSB. Susan didn’t go to the hospital in time because she had ALSC. Women are a high-risk group for ALSD. sufferers cannot be healed and die within a few years17. When Susan found out she had ALS, she ______.A. focused on what she could do to enjoy lifeB. paid more attention to her own lifestyleC. used more of her time to write her bookD. sought help from others for better treatment18. What does the underlined word probably mean?A. Pregnant.B. Amazing.C. SorrowfulD. Flexible19. Why couldn’t Susan lift her head while floating in the pool?A. Because the disease had taken all her strength.B. Because she was under treatment for the disease.C. Because she was lost in thought about her book.D. Because nobody was able to help her lift her head.20. What would be the best title for the passage?A. The Best ChoiceB. A Famous BookC. Wedding DressesD. Enjoy YourselfBBelow are the best four applications (app) to help you organize your closet (橱柜) --- and trust us, there really is something for everyone.ClosetIf you’re looking to create your own digital closet, then this app is for you. Closet helps you categorize your outfits and keeps you up-to-date on what you’ve already worn.PROS: Very simple and user-friendly. Great for helping you look at your own closet without feeling overwhelmed.CONS: No social interactions. This app is strictly for having a mobile version of your closet.PoseThe app makes things insanely easy for the indecisive (无决断力的) shopper. So if you’re debating whether or not to buy something, you can get a second opinion. The app also gathers photos of items that you wish to buy and items you already own, so they are all in one spot.PROS: When you sign up, you fill out a short survey that helps identify your personal style and subsequently finds people with similar taste that you can follow for inspiration.CONS: The phone application is more visually appealing than the actual website. StyliticsIt allows you to categorize your clothes by color, brand, pattern and more. And if you’re wondering whether you have already worn an outfit, simply check your style calendar.PROS: The app comes with a “Today in Fashion History” tip so you can brush up on your style knowledge.CONS: You can’t view your style profile using the app yet unless you log on to the site.Walk in My ClosetIf you’re browsing the Internet, looking for something to buy, you can instantly add the item to your virtual closet so that your wish list items are all in one place. Besides sharing your closet with other users, you can also sell items you no longerwant.PROS: The “Moodboard” is a great way to gather inspiring looks that you like from other users and fashion experts.CONS: The luggage feature, which allows you to prepare outfits for an upcoming trip, is only available on the site; it would be useful if it were on the app. 21. If you want to find someone who has the same taste as you, your best choice is ______.A. ClosetB. PoseC. StyliticsD. Walk in My Closet22. Which of the following can replace the underlined word?A. InstantlyB. DeliberatelyC. IncrediblyD. Accurately23. Which of the following is designed for people who often hesitate when buying clothes?A. StyliticsB. ClosetC. Walk in My ClosetD. Pose24. What can we learn about Walk in My Closet from the passage?A. It is simple and user-friendly app.B. It helps you confirm your personal style.C. It combines both shopping and organizing your closet.D. It requires you to log on to the site to view your style profile.25. The passage mainly tells us ______.A. about the four test fashion apps to help organize our closet.B. how to use these fashion apps.C. that everyone can find their own personal style.D. that we should share our closet with friends.CIt’s 4 a.m, and Danilo C. Dequina is already awake. Holding a flashlight and a bucket, he is walking in the pre-dawn darkness along the shore of Old Poblacion Beach in the town of Maitum, Sarangani, in the far south of the Philippines.A few minutes later, he spots a patch of sand that appears to have been disturbed by a turtle. Dequina studies the area carefully, figuring out where the eggs have been buried, and then starts digging slowly. After clearing away several centimetersof sand, he uncovers a large group of eggs, roughly the size of ping-pong balls. He picks them up and puts them in the bucket.Dequina carries the eggs to his hatchery (孵卵所), some 50 meters away from the seashore. The hatchery is really just a sandy patch of land under the coconut trees enclosed by a black fence. It is here that he buries the turtle eggs he has collected. Today, Dequina scoops (掘) a hole, puts the eggs in it, and covers them with sand. After 45 to 70 days, the eggs will hatch. Dequina will then carry the hatchlings to the shore, and release them into the sea, He admits feeling sorrow as he sets the hatchlings free --- most are hunted down by natural predators, and just one percent survive to adulthood.According to the Philippine Department of Environment and Natural Resources (DENR), eight species of sea turtles face extinction, including four that come to the shores of Sarangani to lay their eggs --- the Hawksbill, Olive Ridley, Loggerhead and Green Turtles.After learning about their plight (困境), Dequina attended a DENR training session on turtle conservation and decided to take action. He helped the local government to set up the Pawikan Nesting Sanctuary next to his house in 2003.The hatchery drew the attention of the locals. “They started to change their attitudes towards sea turtles,”52-year-old Dequina says. “If they see turtle eggs, they will either bring them to me or inform me of the nesting places.”Over the past ten years, more than 3,000 hatchlings have been released to the ocean.26. Dequina walks along the shore to ______.A. release small turtles.B. bury turtle eggs deeper.C. look for newly laid turtle eggs.D. clear away trash from the seaside.27. When Dequina finds turtle eggs along the shore, he will ______.A. put them into the sea instantly.B. just bury them.C. pick them up and put them in the bucket.D. take them and go to his house.28. What is the attitude of local people toward Dequina’s efforts?A. Doubtful.B. Disappointed.C. Opposed.D. Supportive.29. From the fourth paragraph, we know that ______.A. there are just four precious species of sea turtlesB. sea turtles play an important role in natural environmentC. Sarangani shores are fit for sea turtlesD. many sea turtles are in danger of extinction30. What do we learn from the passage?A. Dequina feels sad when he releases hatchlings.B. Dequina has worked for the hatchery for six years.C. The hatchery is far from Dequina’s house.D. The hatchery mainly protects injured turtles.SECTION C (10 marks)Directions: Read the following passage. Write your answers on your answer sheet.In Britain and other countries, young people usually take a “gap year”, a year off between high school and college. This idea never gained a big following in the United States. Recent news reports have suggested that interest may be growing, though there are no official numbers.Charles Deacon, the dean of admissions estimates that in the current first-year class of one thousand six hundred students, only twenty-five percent decided to take a year off. He says this number has not changed much over the years. He says the most common reasons to have a chance to travel, but international students may take a gap year to meet requirements at home for military duty.Some high school graduates see a year off as a chance to recover after twelve years of required education. But it can also give students a chance to explore their interest.Many colleges and universities support gap-year projects by permitting students to delay their admission. Experts say students can grow emotionally and intellectually as they work at something they enjoy. The Harvard admissions office has an essay on its Website called “Time Out or Burn Out for the Next Generation”. It pra ises the idea of taking time off to step back, think and enjoy gaining life experience outside the pressure of studies. Of course, a gap year is not for everyone. Students might miss their friends who go on directly to college. And parents might worry that their children will decide not to go to college once they take time off. Another concern is money. A year off, away from home, can be costly.Holly Bull is the president of the Center for Interim Programs. Her company specializes in helping students plan their gap year. She notes that several books have been written about this subject. And she points out that many gap-year programs cost far less than a year of college.31. How do many colleges and universities support gap-year projects? (No more than 8 words)32. What is the idea praised by the Harvard? (No more than 17 words)33. What is the purpose of some high school students taking a gap year?( No more than 6 words)34. Why do parents worry about children’s gap year ? (No more than 15 words)答卷页班级：________ 学号：_________ 姓名：_________得分：___________参考答案：1-15 CADBB, AACCC, BACCA16-30 DACAA, BCDCA, CCDDA31. By permitting students to delay their admission.32. Taking time off to step back, think and enjoy gaining life experience outside the pressure of studies.33. To recover and explore their interest.34. Because it may cost much money and make children not to go to college./ Because they are worried about high costs and children’s decision not to go to college.参考答案：1-15 CADBB, AACCC, BACCA16-30 DACAA, BCDCA, CCDDA31. By permitting students to delay their admission.32. Taking time off to step back, think and enjoy gaining life experience outside the pressure of studies.33. To recover and explore their interest.34. Because it may cost much money and make children not to go to college./ Becausethey are worried about high cost s and children’s decision not to go to college.参考答案：1-15 CADBB, AACCC, BACCA16-30 DACAA, BCDCA, CCDDA31. By permitting students to delay their admission.32. Taking time off to step back, think and enjoy gaining life experience outside the pressure of studies.33. To recover and explore their interest.34. Because it may cost much money and make children not to go to college./ Because they are worried about high costs and children’s decision not to go to college.参考答案：1-15 CADBB, AACCC, BACCA16-30 DACAA, BCDCA, CCDDA31. By permitting students to delay their admission.32. Taking time off to step back, think and enjoy gaining life experience outside the pressure of studies.33. To recover and explore their interest.34. Because it may cost much money and make children not to go to college./ Because they are worried about high costs and children’s decision not to go to college.。

湖南省长沙市明德中学44高二英语周考考试试卷答案不全

AMany people think of narcisism（自恋）as a kind of personality traits（特质）, usually with a derogatory（贬义的）sense, but it can also be a confident positive attitude. Some studies, published in 2004 in the journal Personality Processes and Individual Differences, looked at some benefits of narcissism. Hundreds of people participated. Results showed that narcissists tended to be less depressed, lonely and anxious, and reported greater well-being than people who scored low on narcissism. High narcissists may be socially unconcerned, but that is no reason for themnot to be psychologically healthy. To use a far-fetched（牵强的）metaphor, the mind of a narcissist is like an SUV. It is great to be in the driving seat, but other drivers must be careful not to hit it.A 2010 study published in the journal Personality and Individual Differences, found thatfemale college students who were slightly narcissistic were less worried about having their bodies on view while exercising in public spaces than students who weren't narcissistic.A 2012 study published in the journal Social Psychological and Personality Science, showedthat narcissism was more beneficial to younger people. For the study, 368 college students and 439 of their family members filled out surveys on narcissism, life satisfaction, and personality traits. “Our findings suggest that the link between narcissism and life satisfaction is greater for adolescents and young adults than for adults,”the authors wrote. Specifically, participants who were younger than 26 and displayed certain types of narcissism reported higher life satisfaction and well-being.Narcissists tend to make great first impressions, but those positive impressions changequickly. Two studies published in the journal Personality and Social Psychology, found that narcissistic college students were at first treated as agreeable and well-adjusted by their peers,but interestingly, after a few weeks, those impressions became more negative: Narcissists were treated as less agreeable and well-adjusted than other students.Leaders are often narcissists according to some studies, because to lead a company, you haveto be confident in your decision-making skills. These decisions also need to be smart and creative, especially in our current world where there are a million different companies producing a million different ideas. A good leader with somewhat narcissistic tendencies can help his company or organization stand out from the crowd.1. According to the passage, narcissistic people can sometimes be ________.A. more willing to drive an SUVB. more willing to be alone than other peopleC. physically healthier than other peopleD. psychologically healthier than other people2. During exercise female narcissistic college students might ________.A. worry about their figuresB. care about other students'figuresC. not attend sports activitiesD. not care what other students think3. According to the 2012 study, the narcissistic adolescents and young adults tend to ________.A. be more satisfied with life than their less narcissistic peersB. be more difficult for their peers to get along withC. have bad relationships with family membersD. have less chance to get life satisfaction than adults4. What is the main idea of the passage?A. Narcissism is seen as an important element of a healthy mind.B. Proper narcissism is good for personal development.C. Proper narcissism seems to protect against social anxiety.D. Narcissism makes people less dependent on relationships with others.BUnderstanding what teens are talking about has been a great problem for parents andteachers for ages. One high school teacher in Massachusetts found a smart solution.James Callahan of Lowell High School created a spreadsheet（电子表格）of all the spokenterms students have used along with his attempt to define them, and people on social media are having a field day. “I often overhear students in the hallways or classrooms using words or slang terms in their personal conversations,”Callahan told reporters. “In order to understand them better and form a relationship with them on a personal level, I started asking them what certain words meant.”He even posted online a photo of a four-page document titled “Callahan's Generation Z Dictionary”. In the left column, he typed out vocabularies like “sis”and “snack”. In the right column, he attempts to define each vocabulary using a formal interpretation of what thestudents say. For example, “secure(d) the bag”translates loosely into “money received”. Some people applauded the professor's interest in teenage culture. “The typicalteacher-student relationship involves a rigid power structure, but in my experience, I have foundthat students are more engaged and perform better if I am able to reach where they are,”Callahan said. Some students say Callahan showed the document in class so that the class couldhelp him update the definitions of “bops”and “jams”. “Mr. Callahan asked if any enjoyable song isa ‘bop' and someone clarified, saying that the song has to be modern with the element of dancing,”one of his students said. “Mr. Callahan asked if an old song or a rock & roll piece can be a ‘bop' to which a student answered, matter-of-factly: ‘No. That is a jam.'”Surprised at and excited about the fact that the dictionary went viral online, Callahan saidthe unofficial guide to teenage breaks up the lesson, gets the students involved and providesthem with some ownership of the dictionary. “Language is so flexible, and every generation creates their own vocabulary bank of slang. The students created it and I am sort of just the recorder!”5. Why did Callahan create “Callahan's Generation Z Dictionary”?A. To better connect with students.B. To improve students' interest in learning.C. To help parents understand children better.D. To change the traditional teacher-student relationship.6. What does the Paragraph 3 focus on?A. The name of the dictionary.B. The structure of the dictionary.C. The photo posted on the Internet.D. The phrase of the dictionary collected.7. Which might be a “bop”according to the Callahan's dictionary?A. Rock & roll music.B. Classical jazz music.C. Pop music with dance.D. Modern piano music.8. What does the underlined phrase “went viral”mean?A. went crazyB. became virtualC. came trueD. spread quickly第二节（共5小题；每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。

2019-2020年明德衡民中学第二学期明德衡民中学周考试卷

2020-2021年第二学期明德衡民中学高二周考试卷高二（理科）数学第I 卷（选择题共60分）一、选择题：本大题共12小题，每小题5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）设全集R U ＝，集合{}220A x x x --≤＝｜，{}21x B x ＝＜｜，则UA B （）＝（A ）0（，2] （B ）02[，] （C ）1[，0）（D ）11[，] （2）函数()f x =的定义域为（A ）2+（，）∞ （B ）2+[，）∞ （C ）1+（，）∞ （D ）01（，）（3）下列函数为奇函数的是（A ）11f x x x ++-（）＝（B ）122xxf x +（）＝（C）f x （）（D ）lg 1lg 1f x x x +--（）（）（）＝（4）若双曲线12222=-by a x (0a ＞，0b ＞)，则其渐近线的方程为（A）y x ±＝（B）y ±＝（C）y ＝（D ）3y x ±＝（5）已知直线:0l xy m ＝与圆22:4O x y ＝交于不同的两点A B ，.若圆周上存在一点C ，使得ABC △为等边三角形，则实数m 的值为（A ）2 （B）（C ）2 （D ）6（6）已知一个几何体的三视图如下，根据图中标出的尺寸（单位：cm ），可得这个几何体的表面积是（A ）28cm （B ）2 （C ）226cm 4（）（D ）246cm 2（）侧视图6第题图（7）执行如图所示的程序框图，若输出的s ＝49100，则判断框内应填入的条件是（A ）i ＜99? （B ）99?i ≤ （C ）i ＜100? （D ）100?i ≤（8）函数2|ln |y x x ＝的图象大致是（A（B（C （D（9）表面积为4π3的球与正三棱柱111ABC A B C -（侧棱垂直于底面，且底面为正三角形的棱柱）的各个面都相切，则该三棱柱的体积为（A ）1 （B （C ）2 （D ）（10）若命题“x ∀R ∈，204xmx ≠”是假命题，则实数m 的取值范围是（A ）44[，] （B ）44（，）（，）∞∞ （C ）44（，）（D ）44（，][，）∞∞1i＝1i i （）7第题图（11）已知向量（＝a ，()1π1πcossin 212212，＝b ，则向量a 与b 的夹角等于（A ）π3 （B ）3π4（C ）2π3 （D ）5π6 （12）若正数x y ，满足35x y xy +＝，则34x y +的最小值为（A ）125 （B ）245（C（D ）5 第II 卷（非选择题共90分）二、填空题：本大题共4小题，每小题5分．（13）已知变量x y ，满足约束条件30110x y y x y +-⎧⎪-⎨⎪-⎩≤，≤≤，≥，则z y x =-的取值范围是．（14）若曲线3e xf x m m x+R （）（∈）＝在点11f （，（））处的切线与直线201x y ＝互相垂直，其中e 为自然对数的底数，则m 的值为．（15）将函数sin 2y x ＝的图象向左平移0π（）＜＜个单位后，得到函数π3sin 2y x＝的图象，则等于．（16）已知数列{n a }满足1141a ＝，且其前n 项和2n S kn n k -R （∈）＝，则{n a }的通项公式为．三、解答题，解答应写出文字说明，证明过程或演算步骤．（17）（本小题满分10分）已知等比数列{n a }的前n 项和为n S ，11a ＝，且19a ，23a ，3a 成等差数列．（Ⅰ）求数列{n a }的通项公式；（II ）求证：12132n S +≤．（18）（本小题满分12分）在ABC △中，角A B C ，，的对边分别为a b c ，，．已知1cos 2sin sin A B C +＝．（I ）试判断ABC △的形状；（II ）若1cos 3A ＝，ABC △的面积为a ．（19）（本小题满分12分）随着互联网的普及，网上购物已成为人们生活中不可缺少的一部分．某公司为了了解全体职工的网上消费情况，对职工进行抽样调查．已知该公司共有男职工80人，女职工20人，现按性别采用分层抽样的方法抽取20人，并绘制了月网购金额（单位：元）的频率分布直方图（如下图所示），其中样本数据分组区间为：040[，），4080[，），80120[，），120160[，），160200[，]．（I ）求抽取的男职工的人数，并补全右边的频率分布直方图；（II ）若同一组数据用该组区间的中点值作为代表，估计该公司职工的月网购金额的平均值；（III ）现从月网购金额落入120200[，]内的职工中任取2人，求抽取的2人中至少有1人月网购金额不低于160元的概率．（20）（本小题满分12分）如图所示，在四棱锥SABCD 中，底面ABCD 为矩形，E 在棱SC 上，BC SB ，BE平面SAC ，且1BC SB ＝＝，SA ．（I ）求证：SA //平面BDE ；（II ）求二面角C SB D 的大小．（21）（本小题满分12分）已知椭圆C :2222x y a b ＝10a b （）＞＞经过点(1M ，离心率e ＝2，直线l :y ＝kx m 与C 相交于A B ，两点，O 为坐标原点.（I ）求C 的方程；（II ）若OAOB ，判断坐标原点O 到直线l 的距离d 是否为定值？若是，求出此定值；若不是，请说明理由.（22）（本小题满分12分）已知函数f x （）＝ln ax x ，g x （）＝22a x ．（I ）当a ＝1时，求函数y ＝g x （）图象上的点到直线10x y ＝的距离的最小值；（II ）是否存在正实数a ，使f x g x （）≤（）对一切正实数x 都成立？若存在，求出a 的取值范围；若不存在，请说明理由．19第题图20第题图S ABC D E高二（理科）数学答案（1）答案：B .解析：{}220A x x x --≤＝｜＝{}12x x -≤≤，由{}21x B x ＝＜｜＝{}0x x ＜， UB ＝{}0x x ≥，所以UA B （）＝{}12x x -≤≤{}0x x ≥＝{}02x x ≤≤＝0[，2]. （2）答案：A .解析：由2log 10x -＞，得22log 1log 2x ＞＝，从而2x ＞，即()f x 的定义域为(2)+∞，.（3）答案：D .解析：在A 中，f x （）的定义域为R ，由11f x x x f x --++（）（）＝＝，可知f x （）为偶函数；在B 中，f x （）的定义域为R ，由112222xx x xf x ---++（）＝＝f x （）＝，可知f x （）为偶函数；在C 中，f x （）的定义域为10-[，）01（，]，由f x f x -（）（）＝，可知f x （）为偶函数；在D 中，f x （）的定义域为11-（，），由lg1lg 1f x x x ---+（）（）（）＝ f x -（）＝，可知f x （）为奇函数. （4）答案：A ．解析：由正方形的性质知，2121B B A A =，即b a 22=，联立222a cb -=，得离心率2==ace ．（5）答案：C .解析：取弦AB 的中点D ，连接OD ，则ODAB ，连接OA .由224x y ＝，得半径2OA ＝，因为ABC △为等边三角形，所以圆心是ABC △的中心，所以12OD OA ＝1＝，1，得2m ＝.（6）答案：D .解析：将三视图还原成几何体，易知，此几何体是三棱锥，其高为2，底面是底边为2，高为2的等腰三角形，如图所示三棱锥ABCD .易得ABC △≌ABD △，ACD △≌BCD △，2ACD S △＝，BC AC ＝，AB ＝ABC S △22152251CDAOB6第题图所以三棱锥A BCD 表面积为ACD ABC ABD BCD S S S S △△△△＝22ACD ABC S S △△2262＝462＝.（7）答案：A .解析：通过11s si i ＝（），第1次计算s 的值：123s ＝；第2次计算s 的值：112334s ＝；……；第1i 次计算s 的值：11123341s i i ＝（…）＝1123 1134…111i i ＝1121i . 由49100s ＝＝1121i ，得最后一次计算s 时，i ＝99，所以i ＝99时跳出循环，可知判断框内应填入的条件是“i ＜99?”.（8）答案：B .解析：易知0x，x 用x 换，解析式不变，故函数为偶函数，其图象关于y 轴对称，排除D ；取1x ＝，得1y ＝，排除A ；当0x ＞时，2ln y x x ＝，则1'2y xx ＝＝ 1212x x ）（），令'0y ＜，得x ，所以函数在∞上为减函数，排除C . （9）答案：C .解析：由4π4π32S R ==球，得球的半径3R =，则正三棱柱的高为3．设三棱柱底面边长为a ，则由tan OBBAO AB=∠，即3tan 302a =o ，得2a =，从而三棱柱的体积122sin 60223V S h ==⨯⨯⨯⨯=o 柱底．（10）答案：D .解析：由命题“x ∀R ∈，204xmx ≠”是假命题可知，其否定“0x R ∈，20004x mx ＝”是真命题，即方程204x mx ＝有实数根，则∆0≥，有2160m ≥，得44（，][，）∞∞.（11）答案：C .BAO解析：a b＝（）()1π1πcossin 212212，ππcos 212212-+＝ππsin cos 124＝ ππcossin 124-()()πππ12461sin sin 2---＝＝＝.易得2｜｜a ，||＝b 12＝，设a 与b 夹角为θ，0πθ≤≤，则cos θ＝｜｜｜｜a b a b 1121222＝＝，所以θ＝2π3.（12）答案：D .解析：将35x y xy +＝变形为13155y x +＝，34x y +＝34x y +（）()1355y x +＝31255x yy x+ 9455++≥5y x135+＝5. （13）答案：[50]-，．解析：由z y x =-，得y x z =+，作出约束条件所表示平面区域，如图所示阴影部分，易知，当直线y x z =+与直线AD 重合时，纵截距z 最大，当直线y x z =+过点C 时，z最小.由01x y y -=⎧⎨=-⎩，，得(11)D --，；由301x y y +-=⎧⎨=-⎩，，得(41)C -，，∴max (1)(1)0z =---=，min (1)45=--=-z ，得z 的取值范围是[50]-，．（14）答案：1e. 解析：设曲线f x （）在点11f （，（））处的切线的斜率为k ，因为切线与直线201x y ＝互相垂直，所以2k ＝，由f x （）得'f x （）＝23e x m x-，则1'k f （）＝，即2e 3m --＝，得m 1e＝.（15）答案：5π6. 解析：函数sin 2y x ＝的图象向左平移0π（）个单位后，得到sin 2y x （）＝的1x +x y -图象，即π3sin 2y x＝的图象，由正弦函数的周期性知，x R ∈时，2x （）＝π32xπ2k （k Z ∈）恒成立，所以ππ6k ＝，k Z ∈，因为0π＜＜，故取1k ＝，得5π6＝. （16）答案：43n a n ＝.解析：由111110121111001021141a S S k k k -----（）（）＝＝＝＝，得2k ＝，于是22n S n n -＝，从而当2n ≥时，2212211n n n a S S n n n n -------（）[（）（）]＝＝ 43n -＝，又2112111a S ⨯-＝＝＝，故43n a n -＝. （17）（本小题满分10分）解析：（I ）设{n a }的公比为q ，因为19a ，23a ，3a 成等差数列，根据等差中项的性质，有223a ＝19a 3a ，即213a q ＝19a 21a q ，得3q ，又11a ＝，故数列{n a }的通项公式为13n n a ．（II ）因为1q，所以11nn a q S q （1）＝313n 1＝＝312n ，则12132n nS ＝123≤，即12132n S +≤，得证．（18）（本小题满分12分）解析：（I ）∵πA B C ++＝，cos cos πcos A B C B C -+-+∴[（）]（）＝＝．由1cos 2sin sin A B C +＝⇒1cos 2sin sin B C B C -+（）＝⇒1cos cos sin sin B C B C --（） 2sin sin B C ＝⇒cos cos sin sin 1B C B C +＝⇒cos 1B C -（）＝．又0πB ＜＜，0πC ＜＜，0B C -∴＝，即B C ＝，可知ABC △为等腰三角形．（II ）由1cos 3A ＝，得sin 3A ＝，由ABC △的面积为得1sin 2bc A12bc ＝，∴9bc ＝，由（I ）知，B C ＝，∴3b c ＝＝，由余弦定理，得2a ＝222212cos 33233123b c bc A +-+-⨯⨯⨯＝＝，∴a ＝．（19）（本小题满分12分）解析：（I ）抽取的男职人数为8020162080⨯+＝．由各组频率之和为1，得月网购金额不低于120元的概率为1-0.003750.006250.007540++⨯（）0.3＝，设月网购金额在120160[，）内的频率组距“”为x ，则0.0025400.3x ⨯+（）＝，解得x ＝0.005．由此得补全后的频率分布直方图如下图：（II ）估计月网购金额的平均值为200.0037540600.00625401000.007540⨯⨯⨯⨯⨯⨯++（）（）（）1400.005401800.00254094⨯⨯+⨯+⨯（）（）＝元．（III ）月网购金额在120160[，）内的职工有200.005404⨯⨯（）＝人，记为a b c d ，，，，在160200[，]内的职工有200.0025402⨯⨯（）＝人，记为A B ，．记事件M ：从6人中任取2人，至少有1人月网购金额不低于160元．从6人中任取2人，所有的结果有：{}a b ，，{}a c ，，{}a d ，，{}b c ，，{}b d ，，{}c d ，，{}A a ，，{}A b ，，{}A c ，，{}A d ，，{}B a ，，{}B b ，，{}B c ，，{}B d ，，{}A B ，，共15个，其中M 包含9个，故事件M 发生的概率为93155PM （）＝＝．（20）（本小题满分12分）解析：（I ）证明：设ACBD O ＝，连接EO ，如图所示，则O 为AC 的中点，∵BE平面SAC ，SC 平面SAC ，∴BE SC ，又SB BC ＝，∴E 为SC 的中点，∴SA EO //，又SA平面BDE ，EO平面BDE ，∴SA //平面BDE ．（II ）解法1：∵BE平面SAC ，SASAC ，∴SA BE ，∵底面ABCD 为矩形，∴BC AB ，又BC SB ，SB AB B ＝，∴BC 平面SAB ，∵SA平面SAB ，∴SA BC ，又BE BC B ＝，∴SA 平面SBC ，从而SASB ．过S 作SM AB ⊥于M ，则BC SM ⊥，∴SM ⊥平面ABCD ．19第题图EDC BA OS第（20）题图以M 为坐标原点，向量MB −−→的方向为x 轴正方向，过点M 且与BC 平行的直线为y 轴，MS −−→的方向为z 轴正方向建立空间直角坐标系，如图所示．在Rt SAB △中，易得2AB ＝，S M ，根据题中数据，易得000M （，，），()00A ，，()1002B ，，，()1102C ，，，()3102D -，，，(002S ，，从而BS −−→＝(1022-，，，BC −−→＝010（，，），BD −−→＝210-（，，）．设平面CBS 的法向量为1111x y z （，，）＝n ，平面DBS 的法向量为2222x y z （，，）＝n ，由1100BS BC −−→−−→⎧⎪⎨⎪⎩，＝，＝n n得1111020x y ⎧-⎪⎨⎪⎩，＝，＝取1x101）＝n ，由2200BS BD −−→−−→⎧⎪⎨⎪⎩，＝，＝n n得222210220x x y ⎧-⎪⎨⎪-+⎩，＝，＝取2x得21）＝n ，从而12cos <>，＝n n 1212||||n n n n12＝，由图易知二面角C SB D 为锐二面角，所以二面角C SB D 的大小为60o．解法2：∵BE平面SAC ，SASAC ， ∴SA BE ，∵底面ABCD 为矩形，∴BC AB ，又BC SB ，SB AB B ＝，∴BC 平面SAB ，∵SA平面SAB ，∴SA BC ，又BEBC B ＝，∴SA 平面SBC ，从而SASB ，易得AB2由SABC 及BC AD //知，SAAD ，∴SD ＝222213SA （）＝2＝又225BD AB ，由222SD SB BD ＝知，SDSB ，从而ASD 为二面角A SB D 的平面角，由3tan 33ADASD SA ＝＝，得30ASD o＝，由BC 平面SAB及BC平面SBC ，得平面SAB平面SBC ，所以二面角A SB C 为直二面角，而直二面角A SB C 是二面角C SB D 与二面角A SB D 的和，∴二面角C SB D 的大小为903060oo o＝．20第题图（21）（本小题满分12分）解析：（I ）由2c a ＝，得2222212c a b a a -＝＝，得222a b ＝，则椭圆的方程可改写成222212x y b b +＝，将点M 的坐标(12，代入椭圆方程中，得22212202+b ⨯-＝，得21b ＝，从而2212a ⨯＝＝，即得椭圆C 的方程为2212x y +＝. （II ）证明：设1122()()A x y B x y ，，，，由2212y kx m x y +⎧⎪⎨+⎪⎩，＝，＝消去y ，整理，得22(21)k x + 24220kmx m ++-＝，根据根与系数的关系，有12221224212221km x x k m x x k -⎧+⎪⎪+⎨-⎪⎪+⎩，＝，＝于是1212()()y y kx m kx m ++＝ 221212()k x x km x x m +++＝2222221m k k -+＝2222421k m m k -++222221m k k -+＝，从而OA OB −−→−−→1212x x y y +＝ 222222222121m m k k k --+++＝22232221m k k --+＝，由OA OB ，得0OA OB −−→−−→＝，即222322021m k k --+＝，得22312m k +＝，则原点O 到直线:0l kx ym -+＝的距离为d 3，故原点O 到直线l 的距离为定值3．（22）（本小题满分12分）解析：（I ）当a ＝1时，2g x x （）＝，则2'g x x （）＝．设与直线10x y ＝平行，且与抛物线2g x x （）＝相切的直线方程为0x y c ＝，切点为00x g x （（）），，则切线的斜率k ＝0'g x （）021x ＝＝，得012x ＝，从而01214g x g （）＝＝，将1124，代入0x y c ＝中，得14c ＝，得两平行直线的距离为14128＝，得所求距离的最小值为8．（II ）由f x g x （）≤（），得ln ax x ≤22a x ，即22a x ln 0ax x ≥，设h x （）＝22a xln ax x ，则只需min h x [（）]0≥．由h x （）得'h x （）＝212a x a x211ax ax x （）（）＝，因为0a ＞，0x ＞，由0'h x （）＞，得1x a ＞，h x （）在1a，∞上为增函数，由0'h x （）＜，得10x a ＜＜，h x （）在10a，上为减函数，所以min h x [（）]1h a ＝＝22111ln 0a a a a a ≥，得1a ≥．。

湖南省长沙市明德中学2024届中考语文全真模拟试题含解析

湖南省长沙市明德中学2024届中考语文全真模拟试题注意事项：1．答卷前，考生务必将自己的姓名、准考证号、考场号和座位号填写在试题卷和答题卡上。

用2B铅笔将试卷类型（B）填涂在答题卡相应位置上。

将条形码粘贴在答题卡右上角"条形码粘贴处"。

2．作答选择题时，选出每小题答案后，用2B铅笔把答题卡上对应题目选项的答案信息点涂黑；如需改动，用橡皮擦干净后，再选涂其他答案。

答案不能答在试题卷上。

3．非选择题必须用黑色字迹的钢笔或签字笔作答，答案必须写在答题卡各题目指定区域内相应位置上；如需改动，先划掉原来的答案，然后再写上新答案；不准使用铅笔和涂改液。

不按以上要求作答无效。

4．考生必须保证答题卡的整洁。

考试结束后，请将本试卷和答题卡一并交回。

一、积累与运用1．结合语境，填入横线处最恰当的一项是（）北京奥运会的圣火曾跨越千山万水，传遍了五洲四海。

世界上每个民族、每种文化、每种信仰的人们，都从奥运圣火的传递中，感受到它彰显的进取精神，领悟到它承载的友谊信息，体会到它倡导的和平宗旨。

“圣火”的传递，。

A．让世界各地了解北京奥运，弘扬和平与友谊的奥运理念B．显示北京举办奥运会实力，弘扬和平与友谊的奥运理念C．让世界各地了解北京奥运，把世界人民汇聚到五环旗下D．显示北京举办奥运会实力，把世界人民汇聚到五环旗下2．下列各句中，没有语病的一项是（）A．随着苏宁集团成为有着108年历史的国际米兰足球俱乐部的大股东，使我国球迷对中国足球未来的发展产生了无限的联想。

B．表面上看，创新是科技人员的事情；但从本质上讲，创新是一个从基础科研到应用科研，再到产品市场化、技术产品化的复杂过程。

C．制作上的硬伤并没有影响《欢乐颂》收视率的原因，更多的是因为它贴近女性视角、贴近现实和年轻人的生活。

D．真正的幸福不是做惊天动地的事，而是懂得发现生命中的“小美好”，过自己想要的生活。

3．阅读下面的文字，完成下列小题。

读书或许并不必然导向外在的成功，但它必然指向内在的丰富．．。

明德中学初升高考试卷答案

明德中学初升高考试卷答案一、选择题1. 根据题目分析，正确答案是A。

2. 经过仔细推敲，答案为B。

3. 通过逻辑推理，选项C是正确的。

4. 根据题目所给信息，答案选D。

5. 综合考虑，正确答案为E。

二、填空题6. 根据题目所给的上下文，此处应填写“历史”。

7. 根据所学知识，正确填写“科学”。

8. 根据题目要求，此处填写“数学”。

9. 根据题目所给的提示，应填写“物理”。

10. 根据题目的隐含信息，填写“化学”。

三、简答题11. 请简述牛顿第二定律的内容。

答：牛顿第二定律指出，物体的加速度与作用在其上的合力成正比，与物体的质量成反比。

12. 请解释什么是光合作用。

答：光合作用是植物通过叶绿素等色素，利用光能将二氧化碳和水转化为葡萄糖和氧气的过程。

四、计算题13. 已知一个物体的质量为5kg，受到的重力为49N，请计算其受到的重力加速度。

答：根据公式 F = m * g，其中 F 为重力，m 为质量，g 为重力加速度。

已知 F = 49N，m = 5kg，可以解得 g = F / m = 49N / 5kg = 9.8m/s²。

14. 一个物体从静止开始自由落体运动，求其在第3秒末的速度。

答：自由落体运动的速度公式为 v = g * t，其中 v 为速度，g 为重力加速度，t 为时间。

已知 g = 9.8m/s²，t = 3s，可以解得 v = 9.8m/s² * 3s = 29.4m/s。

五、论述题15. 论述我国古代四大发明对世界文明的影响。

答：我国古代四大发明包括指南针、火药、造纸术和印刷术。

指南针的发明极大地推动了航海技术的发展，为世界范围内的贸易和文化交流提供了便利。

火药的发明改变了战争的形式，同时也促进了矿业和建筑业的发展。

造纸术的发明使得书写材料更加便捷和经济，极大地促进了知识的传播和保存。

印刷术的发明则进一步加速了信息的传播速度，对教育和文化的发展产生了深远的影响。

湖南省长沙市明德中学2017届高三下学期滚动检测六数学

高三单元滚动检测卷·数学考生注意：1．本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分，共4页．2．答卷前，考生务必用蓝、黑色字迹的钢笔或圆珠笔将自己的姓名、班级、学号填写在相应位置上．3．本次考试时间120分钟，满分150分．4．请在密封线内作答，保持试卷清洁完整．滚动检测六第Ⅰ卷一、选择题(本大题共12小题，每小题5分，共60分．在每小题给出的四个选项中，只有一项是符合题目要求的)1．设集合A ＝{－2,0,1,3}，集合B ＝{x |－x ∈A,1－xD /∈A }，则集合B 中元素的个数为( )A ．1B ．2C ．3D ．42．下列命题中错误的是( )A ．命题“若x 2－5x ＋6＝0，则x ＝2”的逆否命题是“若x ≠2，则x 2－5x ＋6≠0”B ．若x ，y ∈R ，则“x ＝y ”是“xy ≤⎝⎛⎭⎫x ＋y 22中等号成立”的充要条件C ．已知命题p 和q ，若p ∨q 为假命题，则命题p 与q 中必一真一假D ．对命题p ：∃x ∈R ，使得x 2－2ax －a 2<0，则綈p ：∀x ∈R ，x 2－2ax －a 2≥03．(2015·南昌二模)已知0＜a ＜b ＜1＜c ，m ＝log a c ，n ＝log b c ，r ＝a c ，则m ，n ，r 的大小关系是( )A ．m ＜n ＜rB ．m ＜r ＜nC ．r ＜m ＜nD ．n ＜m ＜r4．(2015·江西七校联考)在△ABC 中，若sin(A －B )＝1＋2cos(B ＋C )sin(A ＋C )，则△ABC 的形状一定是( )A ．等边三角形B ．不含60°的等腰三角形C ．钝角三角形D ．直角三角形5．已知函数f (x )＝x 2－ax ＋3在(0,1)上为减函数，函数g (x )＝x 2－a ln x 在(1,2)上为增函数，则a 的值等于( )A ．1B ．2C ．0 D. 26．(2015·唐山二模)如图，正方体ABCD －A 1B 1C 1D 1的棱长为1，P ，Q 分别是线段AD 1和B 1C 上的动点，且满足AP ＝B 1Q ，则下列命题错误的是( )A ．存在P ，Q 的某一位置，使AB ∥PQB ．△BPQ 的面积为定值C ．当P A ＞0时，直线PB 1与AQ 是异面直线D ．无论P ，Q 运动到任何位置，均有BC ⊥PQ7．(2015·杭州第一次质检)设函数f (x )＝|log a x |(0＜a ＜1)的定义域为[m ，n ](m ＜n )，值域为[0,1]，若n －m 的最小值为13，则实数a 的值为( ) A.13或23B.23或34C.14或13D.14或348．已知椭圆E ：x 225＋y 29＝1的长轴的两个端点分别为A 1，A 2，点P 在椭圆E 上，如果△A 1P A 2的面积等于9，那么P A 1→·P A 2→等于( )A ．－14425B.14425 C ．－8125 D.81259．已知数列{x n }满足x n ＋3＝x n ，x n ＋2＝|x n ＋1－x n |(n ∈N *)，若x 1＝1，x 2＝a (a ≤1，a ≠0)，则数列{x n }的前2 016项的和S 2 016为( )A ．669B ．671C ．1 338D ．1 34410．(2015·潍坊模拟)已知f (x )＝sin(x ＋π2)，g (x )＝cos(x －π2)，则下列结论中不正确的是( ) A ．函数y ＝f (x )·g (x )的最小正周期为πB ．函数y ＝f (x )·g (x )的最大值为12C ．函数y ＝f (x ) ·g (x )的图象关于点(π4，0)成中心对称D ．将函数f (x )的图象向右平移π2个单位后得到函数g (x )的图象 11．(2015·淮北模拟)已知椭圆C 1：x 23＋y 22＝1的左，右焦点分别为F 1，F 2，直线l 1过点F 1且垂直于椭圆的长轴，动直线l 2垂直于直线l 1于点P ，线段PF 2的垂直平分线与l 2的交点M 的轨迹为曲线C 2，若A (1,2)，B (x 1，y 1)，C (x 2，y 2)是C 2上不同的点，且AB ⊥BC ，则y 2的取值范围是( )A ．(－∞，－6)∪[10，＋∞)B ．(－∞，－6]∪[10，＋∞)C ．(－∞，－6)∪(10，＋∞)D ．(－∞，－6]∪(10，＋∞)12．(2015·重庆模拟)设数列{a n }是首项为50，公差为2的等差数列，数列{b n }是首项为10，公差为4的等差数列，以a k ，b k 为邻边的矩形内的最大圆的面积记为S k ，如果k ≤21，那么S k 等于( )A ．π(k ＋1)2B ．π(2k ＋1)2C ．π(2k ＋3)2D ．π(k ＋3)2第Ⅱ卷二、填空题(本大题共4小题，每小题5分，共20分．把答案填在题中横线上)13．设非零向量a ，b 的夹角为θ，记f (a ，b )＝a cos θ－b sin θ，若e 1，e 2均为单位向量，且e 1·e 2＝32，则向量f (e 1，e 2)与f (e 2，－e 1)的夹角为________． 14．在△ABC 中，∠A ＝60°，b ＝1，S △ABC ＝3，则a ＋b ＋c sin A ＋sin B ＋sin C＝________.15.如图，AB 是⊙O 的直径，C 是圆周上不同于A 、B 的点，P A 垂直于⊙O 所在平面，AE ⊥PB 于E ，AF ⊥PC 于F ，因此________⊥平面PBC (请填图上的一条直线)．16．(2015·陕西五校联考)椭圆x 2a 2＋y 25＝1(a 为定值，且a ＞5)的左焦点为F ，直线x ＝m 与椭圆相交于点A 、B ，若△F AB 的周长的最大值是12，则该椭圆的离心率是________．三、解答题(本大题共6小题，共70分．解答应写出文字说明、证明过程或演算步骤)17．(10分)(2015·黄冈质检)已知命题p ：函数f (x )＝x 2＋2ax ＋1在R 上有零点．命题q ：x 2＋3(a ＋1)x ＋2≤0在区间[12，32]内恒成立，若命题“p 且q ”是假命题，求实数a 的取值范围．18．(12分)(2015安徽安庆一中、安师大附中期末联考)设数列{a n }满足a n ＝3a n －1＋2(n ≥2，n ∈N *)，且a 1＝2，b n ＝log 3(a n ＋1)．(1)证明：数列{a n ＋1}为等比数列；(2)求数列{a n b n }的前n 项和S n .19.(12分)已知椭圆C 1：x 2a 2＋y 2b 2＝1(a ＞b ＞0)的右焦点为F ，上顶点为A ，P 为C 1上任一点，MN 是圆C 2：x 2＋(y －3)2＝1的一条直径，若与AF 平行且在y 轴上的截距为3－2的直线l 恰好与圆C 2相切．(1)求椭圆C 1的离心率；(2)若PM →·P N →的最大值为49，求椭圆C 1的方程．20．(12分)(2015·潍坊联考)如图，在几何体ABC －A 1B 1C 1中，点A 1，B 1，C 1在平面ABC 内的正投影分别为A ，B ，C ，且AB ⊥BC ，AA 1＝BB 1＝4，AB ＝BC ＝CC 1＝2，E 为AB 1中点．(1)求证：CE ∥平面A 1B 1C 1；(2)求二面角B 1－AC 1－C 的大小．21.(12分)(2015·武汉模拟)已知函数f (x )＝x 2e －x . (1)求f (x )的极小值和极大值；(2)当曲线y ＝f (x )的切线l 的斜率为负数时，求l 在x 轴上截距的取值范围．22．(12分)(2015·昆明三中、玉溪一中高三统一考试)如图，已知椭圆E ：x 2a 2＋y 2b 2＝1(a ＞b ＞0)的离心率为22，且过点(2，2)，四边形ABCD 的顶点在椭圆E 上，且对角线AC ，BD 过原点O ，k AC ·k BD ＝－b 2a2. (1)求O A →·O B →的取值范围；(2)求证：四边形ABCD 的面积为定值．答案解析1．C 2.C 3.D 4.D 5.B 6.B7．B [如图作出f (x )＝|log a x |的图象，因为0＜a ＜1时，A (a,1)，B (1a，1)，此时满足条件的(n －m )min ＝1－a ＝13或1a －1＝13，解得a ＝23或a ＝34，经验证均符合条件．] 8．A [设P (x 1，y 1)，则P A 1→·P A 2→＝(－5－x 1，－y 1)·(5－x 1，－y 1)＝x 21＋y 21－25，①又S △P A 1A 2＝12×|A 1A 2|×|y 1|＝5|y 1|＝9，解得|y 1|＝95，代入椭圆方程x 225＋y 29＝1得， x 21＝16，代入①式可得P A 1→·P A 2→＝x 21＋y 21－25＝16＋8125－25＝－14425，故选A.]9．D [由题意得x 1＝1，x 2＝a ，x 3＝|x 2－x 1|＝|a －1|＝1－a ，x 4＝|1－a －a |＝|1－2a |，又x 4＝x 1，∴|1－2a |＝1，又∵a ≠0，∴a ＝1.此数列为1,1,0,1,1,0，……，其周期为3，S 2 016＝(1＋1＋0)×672＝1 344.]10．C [由已知可得f (x )＝cos x ，g (x )＝sin x ，依次判断各选项，只有C 是不正确的，因为f (x )·g (x )＝sin x cos x ＝12sin 2x ，其图象不关于点(π4，0)中心对称，应关于直线x ＝π4轴对称．] 11．A [∵椭圆的左，右焦点分别为F 1，F 2，∴F 1(－1,0)，F 2(1,0)，直线l 1：x ＝－1.设l 2：y ＝t ，P (－1，t )，t ∈R ，M (x ，y )，则y ＝t .由|MP |＝|MF 2|，得(x ＋1)2＝(x －1)2＋y 2，∴曲线C 2：y 2＝4x .∵A (1,2)，B (x 1，y 1)，C (x 2，y 2)是C 2上不同的点，∴AB →＝(x 1－1，y 1－2)，BC →＝(x 2－x 1，y 2－y 1)．∵AB ⊥BC ，∴AB →·BC →＝(x 1－1)(x 2－x 1)＋(y 1－2)(y 2－y 1)＝0.∵x 1＝14y 21，x 2＝14y 22， ∴(y 21－4)(y 22－y 21)16＋(y 1－2)(y 2－y 1)＝0， ∵y 1≠2，y 1≠y 2，∴(y 1＋2)(y 2＋y 1)16＋1＝0. 整理，得y 21＋ (2＋y 2)y 1＋(2y 2＋16)＝0，关于y 1的方程有不为2的解，∴Δ＝(2＋y 2)2－4(2y 2＋16)≥0，且y 2≠－6，∴y 22－4y 2－60≥0，且y 2≠－6，解得y 2<－6或y 2≥10.]12．C [由题意得，数列{a n }的通项公式是a n ＝2n ＋48，数列{b n }的通项公式是b n ＝4n ＋6，a n －b n ＝42－2n .因为k ≤21，所以a k －b k ≥0，即a k ≥b k ，所以最大圆的半径R k ＝12b k ＝2k ＋3，故最大圆的面积S k ＝πR 2k ＝π(2k ＋3)2.]13.π2解析由e 1·e 2＝32，可得 cos 〈e 1，e 2〉＝e 1·e 2|e 1||e 2|＝32，故〈e 1，e 2〉＝π6，〈e 2，－e 1〉＝π－〈e 2，e 1〉＝5π6. f (e 1，e 2)＝e 1cos π6－e 2sin π6＝32e 1－12e 2，f (e 2，－e 1)＝e 2cos 5π6－(－e 1)·sin 5π6＝12e 1－32e 2.f (e 1，e 2)·f (e 2，－e 1)＝(32e 1－12e 2)·(12e 1－32e 2)＝32－e 1·e 2＝0. 所以f (e 1，e 2)⊥f (e 2，－e 1)，故向量f (e 1，e 2)与f (e 2，－e 1)的夹角为π2. 14.2393解析 ∵S △ABC ＝12bc sin A ＝12c ×32＝3，∴c ＝4， ∴a 2＝b 2＋c 2－2bc cos A ＝12＋42－2×1×4×12＝13. ∴a ＝13，∴a ＋b ＋c sin A ＋sin B ＋sin C ＝a sin A ＝13sin 60°＝2393. 15．AF解析 ∵P A ⊥平面ACB ，BC ⊂平面ACB ，∴BC ⊥P A ，∵AB 是⊙O 的直径，∴BC ⊥AC ，∵P A ∩AC ＝A ，P A 、AC ⊂平面P AC ，∴BC ⊥平面P AC ，∵AF ⊂平面P AC ，∴BC ⊥AF ，∵PC ⊥AF ，PC ∩BC ＝C ，PC 、BC ⊂平面PBC ，∴AF ⊥平面PBC .16.23解析设椭圆的右焦点为E ，如图：由椭圆的定义得△F AB 的周长为|AB |＋|AF |＋|BF |＝|AB |＋(2a －|AE |)＋(2a －|BE |)＝4a ＋|AB |－|AE |－|BE |.∵|AE |＋|BE |≥|AB |，∴|AB |－|AE |－|BE |≤0，当AB 过点E 时取等号，∴△F AB 的周长＝|AB |＋|AF |＋|BF |＝4a ＋|AB |－|AE |－|BE |≤4a ，∴△F AB 的周长的最大值为4a ＝12，∴a ＝3，∴e ＝c a ＝a 2－b 2a ＝23. 17．解对于命题p ，由Δ＝4a 2－4≥0，解得a ≤－1或a ≥1，对于命题q ，∵x 2＋3(a ＋1)x ＋2≤0在[12，32]内恒成立， ∴3(a ＋1)≤－(x ＋2x )在[12，32]上恒成立．易知(x ＋2x )max ＝92，故只需3(a ＋1)≤－92即可．解得a ≤－52. ∵命题“p 且q ”是假命题，∴命题p 和命题q 中一真一假或都为假．当p 真q 假时，－52＜a ≤－1或a ≥1；当p 假q 真时， a ∈∅；当p 假q 假时，－1＜a ＜1.综上所述，a 的取值范围为{a |a ＞－52}． 18．(1)证明 ∵a n ＝3a n －1＋2(n ≥2，n ∈N *)，∴a n ＋1＝3(a n －1＋1)(n ≥2，n ∈N *)，又a 1＝2，∴a 1＋1≠0，∴数列{a n ＋1}为等比数列．(2)解由(1)知a n ＝3n －1，则b n ＝log 3(a n ＋1)＝n ，∴a n b n ＝n (3n －1)＝n ·3n －n ，设A n ＝1×3＋2×32＋…＋n ×3n ，则3A n ＝1×32＋2×33＋…＋n ×3n ＋1， ∴－2A n ＝3＋32＋…＋3n －n ×3n ＋1 ＝(12－n )3n ＋1－32， ∴A n ＝(n 2－14)3n ＋1＋34，∴S n ＝A n －n (n ＋1)2＝(n 2－14)3n ＋1－n 22－n 2＋34. 19．解 (1)由题意可知直线l 的方程为bx ＋cy －(3－2)c ＝0，因为直线l 与圆C 2：x 2＋(y －3)2＝1相切，所以d ＝|3c －3c ＋2c |b 2＋c 2＝1，即a 2＝2c 2，从而e ＝22. (2)设P (x ，y )，圆C 2的圆心记为C 2，由(1)知椭圆C 1的方程为x 22c 2＋y 2c2＝1(c ＞0)，又PM →·P N →＝(PC 2→＋C 2M →)·(PC 2→＋C 2N →)＝PC 2→2－C 2N →2＝x 2＋(y －3)2－1＝－(y ＋3)2＋2c 2＋17(－c ≤y ≤c )．①当c ≥3时，(PM →·P N →)max ＝17＋2c 2＝49，解得c ＝4，此时椭圆方程为x 232＋y 216＝1； ②当0＜c ＜3时，(PM →·P N →)max ＝－(－c ＋3)2＋17＋2c 2＝49，解得c ＝±52－3，但c ＝－52－3＜0，且c ＝52－3＞3，故舍去．综上所述，椭圆C 1的方程为x 232＋y 216＝1. 20．(1)证明由题意知AA 1⊥平面ABC ，BB 1⊥平面ABC ，CC 1⊥平面ABC ，∴AA 1∥BB 1∥CC 1，如图，取A 1B 1中点F ，连接EF ，FC 1，∵E 为AB 1中点，∴EF 綊12A 1A ， ∵AA 1＝4，CC 1＝2，∴CC 1綊12A 1A ， ∴EF 綊CC 1，∴四边形EFC 1C 为平行四边形，∴CE ∥C 1F .∵CE ⊄平面A 1B 1C 1，C 1F ⊂平面A 1B 1C 1，∴CE ∥平面A 1B 1C 1.(2)解由题意知，AB ⊥BC ，又BB 1⊥平面ABC ，∴BB 1⊥AB ，BB 1⊥BC ，分别以BA ，BC ，BB 1所在直线为x 轴，y 轴，z 轴建立如图所示的空间直角坐标系．则A (2,0,0)，C (0,2,0)，B 1(0,0,4)，C 1(0,2,2)，∴A C →＝(－2,2,0)，CC 1→＝(0,0,2)，AB 1→＝(－2,0,4)，B 1C 1→＝(0,2，－2)．设平面ACC 1的法向量为m ＝(x 1，y 1，z 1)，则m ·A C →＝0，m ·CC 1→＝0，∴⎩⎪⎨⎪⎧－2x 1＋2y 1＝0，2z 1＝0，令x 1＝1, 得m ＝(1,1,0)，设平面AB 1C 1的法向量为n ＝(x 2，y 2，z 2)，则n ·AB 1→＝0，n ·B 1C 1→＝0，∴⎩⎪⎨⎪⎧ －2x 2＋4z 2＝0，2y 2－2z 2＝0，令z 2＝1，得⎩⎪⎨⎪⎧x 2＝2，y 2＝1. ∴n ＝(2,1,1)，∴cos 〈m ，n 〉＝m·n |m ||n |＝32. 由图知，二面角B 1－AC 1－C 是钝角，∴二面角B 1－AC 1－C 的大小为150°.21．解 (1)∵f (x )＝x 2e －x ， ∴f ′(x )＝2x e －x －x 2e －x ＝e －x (2x －x 2)，令f ′(x )＝0，解得x ＝0或x ＝2，令f ′(x )>0，可解得0<x <2；令f ′(x )<0，可解得x <0或x >2，故函数在区间(－∞，0)与(2，＋∞)上是减函数，在区间(0,2)上是增函数． ∴x ＝0是极小值点，x ＝2是极大值点，又f (0)＝0，f (2)＝4e 2，故f (x )的极小值和极大值分别为0，4e 2.(2)设切点为(x 0，x 20e －x 0)，则切线方程为y －x 20e －x 0＝e －x 0(2x 0－x 20)(x －x 0)，令y ＝0，解得x ＝x 20－x 0x 0－2＝x 0－2＋2x 0－2＋3，∵曲线y ＝f (x )的切线l 的斜率为负数，∴e －x 0(2x 0－x 20)<0，∴x 0<0或x 0>2，令g (x 0)＝x 0＋2x 0－2＋1，则g ′(x 0)＝1－2(x 0－2)2＝(x 0－2)2－2(x 0－2)2.①当x 0<0时，(x 0－2)2－2>0，即g ′(x 0)>0，∴g (x 0)在(－∞，0)上单调递增，∴g (x 0)<g (0)＝0；②当x 0>2时，令g ′(x 0)＝0，解得x 0＝2＋ 2.当x 0>2＋2时，g ′(x 0)>0，函数g (x 0)单调递增；当2<x 0<2＋2时，g ′(x 0)<0，函数g (x 0)单调递减．故当x 0＝2＋2时，函数g (x 0)取得极小值，也即最小值，且g (2＋2)＝3＋2 2.综上可知，切线l 在x 轴上截距的取值范围是(－∞，0)∪[22＋3，＋∞)． 22．(1)解由⎩⎨⎧ c a ＝22，4a 2＋2b 2＝1，a 2＝b 2＋c 2得⎩⎪⎨⎪⎧ a 2＝8，b 2＝4.所以x 28＋y 24＝1.当直线AB 的斜率存在时，设l AB ：y ＝kx ＋m ，A (x 1，y 1)，B (x 2，y 2)．由⎩⎪⎨⎪⎧y ＝kx ＋m ，x 2＋2y 2＝8⇒(1＋2k 2)x 2＋4kmx ＋2m 2－8＝0，所以x 1＋x 2＝－4km 1＋2k 2，x 1x 2＝2m 2－81＋2k 2. y 1y 2＝(kx 1＋m )(kx 2＋m )＝k 2·2m 2－81＋2k 2＋km ·－4km 1＋2k 2＋m 2＝m 2－8k 21＋2k 2. 因为k OA ·k OB ＝－b 2a 2⇒y 1x 1·y 2x 2＝－12. 所以m 2－8k 21＋2k 2＝－12·2m 2－81＋2k 2⇒m 2＝4k 2＋2. O A →·O B →＝x 1x 2＋y 1y 2＝2m 2－81＋2k 2＋m 2－8k 21＋2k 2 ＝4k 2－22k 2＋1＝2－42k 2＋1，所以－2≤O A →·O B →＜2，当k ＝0时，O A →·O B →＝－2，当k 不存在，即AB ⊥x 轴时，O A →·O B →＝2，所以O A →·O B →的取值范围是[－2,2]．(2)证明由题意知S 四边形ABCD ＝4S △AOB ，因为S △AOB ＝12·1＋k 2 ·(x 1＋x 2)2－4x 1x 2·|m |1＋k 2＝24k 2＋21＋2k 2＝2 2. 所以S 四边形ABCD ＝82为定值．。

湖南省长沙市明德中学2017届高三上学期周考英语试题 6

明德中学初中英语九年级全册Unit 6阶段测试(培优提高)

一、选择题1．----Jim, how do your parents like country music?----_____ my dad _____ my mom likes it. They both like country music.A．Either, or B．Neither, nor C．Not only, but also D．Both, and C解析：C【详解】句意：--蒂姆，你的父母觉得乡村音乐怎么样？--不但爸爸喜欢，而且妈妈也不喜欢，他们都喜欢乡村音乐。

根据后半句：他们都喜欢乡村音乐，either…or 或者…或者，表示两者之一；neither…nor 两者都不，既不，也不；Not only…but also 不仅…而且；both …and 两个都，主语是两个人。

Not only…but also…… 句型要根据最近的主语确定谓语动词，本题中的likes 是第三人称单数，故选C。

2．---Would you help me work out the physics problem,Bill?--- .A．Yes,quite right B．Never mind C．That’s right D．With pleasure D解析：D【详解】句意：--你能帮我做出这个物理题吗？--很乐意帮忙。

A. Yes,quite right是的，很正确；B. Never mind没关系；C. That’s right那是正确的；D. With pleasure很乐意；只有D选项符语言习惯。

故选D。

3．________ may have a chance (机会) to be successful if he tries his best.But ___ doesn't believe it.A．None，somebody B．Nobody，everybody C．Somebody，anybody D．Everybody，somebody D解析：D【解析】【详解】句意：如果尽力而为，每个人都可能有机会成功。

湖南省长沙市明德中学高三第六次月考(语文).doc

湖南省长沙市明德中学2011届高三第六次月考语文试卷本试题卷共7道大题，22道小题，共8页。

时量150分钟，满分150分。

一、语言文字运用（15分，每小题3分)1．下列加点字的注音全对的一组是（）A．眼睑．（jiǎn）感喟．（kuì) 诤．友（zhēng）螳臂当．（dăng)车B．缫．丝（sāo) 糟粕．（bó) 皈．依（guī) 扺．（dĭ）掌而谈C．熨．帖（yù) 日晷．（guĭ) 恸．哭（dòng) 暴殄．（tiăn)天物D．肄．业（yì) 讣．告（fù) 稍．息（shào) 胼．（pián）手胝足2．下列各句中没有错别字的一句是（）A．此次培训针对社会救助标准化验收考核中的实际问题，将各类保障政策进行逐一梳理，保证培训内容详实有实效。

B．据韩联社报道，在韩军延坪岛射击训练已结束的21日，朝鲜继续在西海地区布署地对舰、地对空导弹，韩军也在加强警戒态势。

C．由于大批游客滞留欧洲机场无法成行，肯尼亚的旅游旺季变淡季。

除欧洲客源委缩外，肯国内多家酒店还遭遇退房。

D．民族问题是关系国家前途命运和人民幸福安康的重大问题，要不断巩固我国各民族在大家庭中合衷共济、和睦相处、和谐发展的良好局面。

3.下列各句中，加点的熟语使用恰当的一项是：（）A. 面对朝鲜半岛出现的一系列危言危行．．．．，中俄坚决主张要缓和不要紧张，要对话不要对抗，要和平不要战争，决不允许半岛战火重燃，也不愿看到半岛局势持续紧张。

B. 除了余彭年宣布裸捐93亿港元之外，中国富豪陈光标、“爱国者”总裁冯军也先后宣布自愿在活着时将个人全部财产逐步捐献给社会，我们感动之余，只能望其项背．．．．。

C. 12月26日上午，湘江边，钓鱼爱好者穿着棉袄、缩着脖子在岸边垂钓，噤若寒蝉．．．．，冬泳爱好者却在江中畅快的游泳，“千年极寒”中，一个季节两种状态。

D. 主观太强会对别人的见解一律否定，主观太弱会全无主见，难以有成，与其筑室道谋．．．．，不如敢为天下先，开拓进取，勇于创新。

湖南省长沙市明德中学2024届中考语文模试卷含解析

湖南省长沙市明德中学2024届中考语文模试卷注意事项：1．答题前，考生先将自己的姓名、准考证号填写清楚，将条形码准确粘贴在考生信息条形码粘贴区。

2．选择题必须使用2B铅笔填涂；非选择题必须使用0．5毫米黑色字迹的签字笔书写，字体工整、笔迹清楚。

3．请按照题号顺序在各题目的答题区域内作答，超出答题区域书写的答案无效；在草稿纸、试题卷上答题无效。

4．保持卡面清洁，不要折叠，不要弄破、弄皱，不准使用涂改液、修正带、刮纸刀。

一、积累与运用1．语言运用―下列各句表达得体的一项是（）A．请愚兄你别拿着比我高的成绩，还跟敝人说没有考好啊！B．家父常教育我，不能决定太阳几点升起，但可以决定自己几点起床。

C．我至今还惠存着您送我的“翰墨书香，家国天下”这幅书法作品。

D．学生我认真读过老师您的拙作，对您在文章中的一些高见十分佩服。

2．对下面文段中加点词语的解释有错误．．．的一项是（）人恒过．，然后能改；困于心，衡于虑，而后作．；征于色，发于声，而后喻．。

入则无法家拂．士，出则无敌国外患者，国恒亡。

A．过：过错，过失。

B．作：有所作为。

C．喻：明白，了解。

D．拂：同“弼”，辅佐。

3．下列句子没有．．语病的一项是（）A．随着《流浪地球》的热映，使更多影迷们开始关注影片的原著到底是什么样的。

B．语文课程要重视民族优秀文化的传承，培育民族文化的认同感。

C．天府仁寿大道的开通拉近了成眉之间的时空距离。

D．青少年不但要用美的心灵去感受世界，而且要用美的眼光去看世界。

4．下列有关文学常识和名著阅读的表述，有错误的一项是A．《乡愁》《故乡》《春》《威尼斯商人》四篇课文，从文学体裁上来分类，依次属于诗歌、小说、散文、戏剧。

B．20世纪上半叶法国著名的人道主义作家罗曼·罗兰写作的《名人传》，叙述了贝多芬、米开朗琪罗和奥斯特洛夫斯基的充满苦难和坎坷的一生，赞美了他们的高尚品格和顽强奋斗的精神。

C．我国戏曲剧中人物由生、旦、净、丑等不同行当来充任。

湖南省长沙市明德中学2023-2024学年高二下学期开学考试数学试卷

A． f 1 1
B．过点 e, f e 的切线方程 y x 1
C．对 x(0, ) ，不等式 f x x e 恒成立
试卷第 2 页，共 4 页
D．若 x0 为函数 y f x x2 的极值点，则 f x0 3x0 0
三、填空题
12．已知
sin
π 4
1 4
，则
sin2
的值为.
A．甲组数据的第 70 百分位数为 23
B．甲､乙两组数据的极差不相同
C．乙组数据的中位数为 24.5
D．甲､乙两组数据的方差相同
uuur uuur uuur uuur uuur uuur
4．在 VABC 中， AB BC BC CA CA AB ，则 sin A: sin B : sin C （）
5
4
3
A． 9 : 7 :8
B． 9 : 7 : 8
C． 6 :8: 7
D． 6 : 8 : 7
5．过点 M (0,5) 作圆 C : x2 y2 4x 4y 1 0 的两条切线 l1,l2 与圆 C 分别切于 A，B 两
点，则直线 AB 的方程为（）
A． 2x 3y 11 0 B． 2x 3y 11 0 C． 2x 3y 9 0
B． Z1 Z2 Z1 Z2
C．若 Z1 Z2 R ，则 Z1 Z2 为纯虚数
D．若 Z2 Z3 ，且 Z1 0 ，则
Z2 Z1
Z3 Z1
10．已知数列an 的前 n 项和为 Sn ，且满足 a1 1, a2 2, an1 4an 3an1 ，则下面说法
正确的是（）
A．数列an1 an 为等差数列
x2 2mx 1 , x 2 为其定义域上的“ K 函数”，则实数 m 的取值

湖南省长沙市明德中学2022-2023学年高一下学期期中数学试题

AC I BD O ， PO 底面 ABCD， PO 2 ，点 E 在棱 PD 上，且 CE PD .
(1)证明：平面 PBD 平面 ACE； (2)求二面角 P AC E 的余弦值. 20．如图，在长方体 ABCD A1B1C1D1 中，AB 1, AD 2, E, F 分别为 AD, AA1的中点，Q 是 BC 上一个动点，且 BQ QC( 0) .
A．若
r a
r b
0
，则
r a
r 0
或
r b
r 0
B．
x
6
是函数
f
x
2
cos
2x
3
的一条对称轴
C． sin1 sin 3
D．若
r a
r ∥b
，则
r a
在
r b
方向上的投影向量的模为
r a
11．如图，在正方体 ABCD A1B1C1D1 中，点 P 在线段 BC1 上运动，有下列判断，其中正确的是（）
A．5 个
B．6 个
C．7 个
D．8 个
3．若复数 z 5 ，则 z 的虚部为（） i2
A． i
B．1
C．-1
D． i
4． sin 2023π = （） 6
A． 1
2
B． 3 2
C． 1 2
D． 3
2
5．已知 m, n 是两条不重合的直线，, 是两个不重合的平面，下列命题正确的是（）
A． f x 1 f x C． f x 2 为偶函数
B．
f
1 2
0
D．
f
x
1 2
为奇函数
三、填空题
13．已知函数 f (x) 2x 1，则函数的零点为________

湖南省长沙市明德中学2022-2023学年高三上学期入学考试数学试题

湖南省长沙市明德中学2022-2023学年高三上学期入学考试
数学试题
学校:___________姓名：___________班级：___________考号：___________
一、单选题
二、多选题
三、填空题
四、解答题
(1)证明：EF∥平面PCD
(2)若PD⊥平面ABCD，120
∠= ，且
ADC
角的正弦值．
20．近期国内疫情反复，对我们的学习生活以及对各个行业影响都比较大，某房地产开发公司为了回笼资金，提升销售业绩，让公司旗下的某个楼盘统一推出了为期
(1)请根据散点图判断，以下两个函数模型
哪一个适宜作为人次y关于活动推出天数
明理由）；
(2)根据（1）的判断结果及下表中的数据，求8天售楼部来访的入次，参考数据：其中
v
7
1
i i
i
x v
=
∑0.84
10
1.8458.55 6.9。

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2015届高三英语小题训练六时量：40分钟满分：55分杨欣欣Section A (15 marks)Directions: Choose the one answer that best completes the sentence.1. More than 16,000 people ___________ with Ebola and nearly 7,00 have died.A. has infectedB. have infectedC. have been infectedD. has been infected2. What do you mean, there are only 200 dollars. There ______ be 50 more.A. shouldB. willC. wouldD. shall3. Early admissions programs have become increasingly common in the US, with about two out of three of the country’s top universities and colleges ______ some kind of early admissions programs.A. offersB. offerC. to be offeredD. offering4. Don’t handle the vase as if it ______ made of steel.A. isB. wereC. has beenD. had been5. Some westerners, especially those______ live in cold climates wear long johns to help stay warm.A. of whomB. whoC. whichD. what6. —Did you tell Ellen about the news?—Oh, no, I forgot. I ______ her now.A. will callB. will be callingC. callD. am to call7. ______ you have expressed your determination, you should act immediately.A. Now thatB. Even thoughC. In order thatD. Until8. He got up late and hurried to his office, ______ the breakfast untouched.A. leftB. to leaveC. leavingD. having left9. We’ve offered her the job, but I don’t know______ or not she’ll accept it.A. ifB. whatC. whetherD. which10. It was not until late in the evening _____ her husband arrived home.A. whichB. whenC. thatD. how11. The old couple often take a walk after super in the park with their pet dog _____.A. to followB. followingC. followedD. follows12. It is reported that many a new house at present in the disaster area.A. is being builtB. are being builtC. was being builtD. were being built13. Rene left word with my secretary ______ she would call again in the afternoon.A. whoB. asC. thatD. which14. I’m sure you’d rather she went to school by bus, ______?A. hadn’t youB. aren’t’ IC. wouldn’t youD. didn’t she15. ______to work overtime that evening, I missed a wonderful film.A. Having been askedB. To askC. Having askedD. To be askedSection B Reading Comprehension (30 marks)Directions: Read the following three passages. Choose the one that fits best according to the information given in the passage.ASusan was a well-respected journalist at the Palm Beach Post, happily married with three young children, when she learned at the age of 44 that she had ALS, also known as Lou Gehrig’s disease. ALS is a gradually weakening motor neuron(神经元) disease. There is no cure and most people die of respiratory failure (呼吸衰竭) within three to five years.Susan faced a choice about how to live the rest of her life --- the same choice each of us faces every morning. Susan chose to embrace life, to focus on what she could do, and to live with joy as she so inspirationally shares in her new book, Until I say Good-Bye: My Year of Living with Joy.Susan prioritized(优先次序). She focused on doing the things she could still do before her disease eliminated(排除) those options. She traveled to the Arctic to see the Northern Lights and planned a trip with each of her two older children.The most poignant moment in the book may be when she takes her 14-year-old to New York, where they make a trip to a bridal shop (婚纱店). Susan asks her daughter to try on wedding dresses, knowing she won’t be there when she gets married.Susan writes about going for a swim in her pool, and while floating on her stomach, she realized she no longer has the strength to lift her head. After her friends pull her to safety, she realizes she can no longer swim. “So how shall I handle it? Pine for (怀念) something I can no longer do? Something I adored? No,” She writes. “For that is the path to the loony bin (疯人院). To want something you can never have.”Time is our most precious and scarcest resource. Instead of worrying about what you can no longer do, focus on what can do to add meaning and joy to your life. And don’t wait to do what you have always wanted to do. Because, as we all know, tomorrow is promised to nobody. We do have a choice, however, in how we live our lives as we age. Choose life.16. With regard to ALS, we can learn that ______.A. Susan wrote a book about ALSB. Susan didn’t go to the hospital in time because she had ALSC. Women are a high-risk group for ALSD. sufferers cannot be healed and die within a few years17. When Susan found out she had ALS, she ______.A. focused on what she could do to enjoy lifeB. paid more attention to her own lifestyleC. used more of her time to write her bookD. sought help from others for better treatment18. What does the underlined word probably mean?A. Pregnant.B. Amazing.C. SorrowfulD. Flexible19. Why couldn’t Susan lift her head while floating in the pool?A. Because the disease had taken all her strength.B. Because she was under treatment for the disease.C. Because she was lost in thought about her book.D. Because nobody was able to help her lift her head.20. What would be the best title for the passage?A. The Best ChoiceB. A Famous BookC. Wedding DressesD. Enjoy YourselfBBelow are the best four applications (app) to help you organize your closet (橱柜) --- and trust us, there really is something for everyone.ClosetIf you’re looking to create your own digital closet, then this app is for you. Closet helps you categorize your outfits and keeps you up-to-date on what you’ve already worn.PROS: Very simple and user-friendly. Great for helping you look at your own closet without feeling overwhelmed.CONS: No social interactions. This app is strictly for having a mobile version of your closet.PoseThe app makes things insanely easy for the indecisive (无决断力的) shopper. So if you’re debating whether or not to buy something, you can get a second opinion. The app also gathers photos of items that you wish to buy and items you already own, so they are all in one spot.PROS: When you sign up, you fill out a short survey that helps identify your personal style and subsequently finds people with similar taste that you can follow for inspiration.CONS: The phone application is more visually appealing than the actual website.StyliticsIt allows you to categorize your clothes by color, brand, pattern and more. And if you’re wondering whether you have already worn an outfit, simply check your style calendar.PROS: The app comes with a “Today in Fashion History” tip so you can brush up on your style knowledge.CONS: You can’t view your style profile using the app yet unless you log on to the site.Walk in My ClosetIf you’re browsing the Internet, looking for something to buy, you can instantly add the item to your virtual closet so that your wish list items are all in one place. Besides sharing your closet with other users, you can also sell items you no longer want.PROS: The “Moodboard” is a great way to gather inspiring looks that you like from other users and fashion experts.CONS: The luggage feature, which allows you to prepare outfits for an upcoming trip, is only available on the site; it would be useful if it were on the app.21. If you want to find someone who has the same taste as you, your best choice is ______.A. ClosetB. PoseC. StyliticsD. Walk in My Closet22. Which of the following can replace the underlined word?A. InstantlyB. DeliberatelyC. IncrediblyD. Accurately23. Which of the following is designed for people who often hesitate when buying clothes?A. StyliticsB. ClosetC. Walk in My ClosetD. Pose24. What can we learn about Walk in My Closet from the passage?A. It is simple and user-friendly app.B. It helps you confirm your personal style.C. It combines both shopping and organizing your closet.D. It requires you to log on to the site to view your style profile.25. The passage mainly tells us ______.A. about the four test fashion apps to help organize our closet.B. how to use these fashion apps.C. that everyone can find their own personal style.D. that we should share our closet with friends.CIt’s 4 a.m, and Danilo C. Dequina is already awake. Holding a flashlight and a bucket, he is walking in the pre-dawn darkness along the shore of Old Poblacion Beach in the town of Maitum, Sarangani, in the far south of the Philippines.A few minutes later, he spots a patch of sand that appears to have been disturbed by a turtle. Dequina studies the area carefully, figuring out where the eggs have been buried, and then starts digging slowly. After clearing away several centimeters of sand, he uncovers a large group of eggs, roughly the size of ping-pong balls. He picks them up and puts them in the bucket.Dequina carries the eggs to his hatchery (孵卵所), some 50 meters away from the seashore. The hatchery is really just a sandy patch of land under the coconut trees enclosed by a black fence. It is here that he buries the turtle eggs he has collected. Today, Dequina scoops (掘) a hole, puts the eggs in it, and covers them with sand. After 45 to 70 days, the eggs will hatch. Dequina will then carry the hatchlings to the shore, and release them into the sea, He admits feeling sorrow as he sets the hatchlings free --- most are hunted down by natural predators, and just one percent survive to adulthood.According to the Philippine Department of Environment and Natural Resources (DENR), eight species of sea turtles face extinction, including four that come to the shores of Sarangani to lay their eggs --- the Hawksbill, Olive Ridley, Loggerhead and Green Turtles.After learning about their plight (困境), Dequina attended a DENR training session on turtle conservation and decided to take action. He helped the local government to set up the Pawikan Nesting Sanctuary next to his house in 2003.The hatchery drew the attention of the locals. “They started to change their attitudes towards sea turtles,”52-year-old Dequina says. “If they see turtle eggs, they will either bring them to me or inform me of the nesting places.”Over the past ten years, more than 3,000 hatchlings have been released to the ocean.26. Dequina walks along the shore to ______.A. release small turtles.B. bury turtle eggs deeper.C. look for newly laid turtle eggs.D. clear away trash from the seaside.27. When Dequina finds turtle eggs along the shore, he will ______.A. put them into the sea instantly.B. just bury them.C. pick them up and put them in the bucket.D. take them and go to his house.28. What is the attitude of local people toward Dequina’s efforts?A. Doubtful.B. Disappointed.C. Opposed.D. Supportive.29. From the fourth paragraph, we know that ______.A. there are just four precious species of sea turtlesB. sea turtles play an important role in natural environmentC. Sarangani shores are fit for sea turtlesD. many sea turtles are in danger of extinction30. What do we learn from the passage?A. Dequina feels sad when he releases hatchlings.B. Dequina has worked for the hatchery for six years.C. The hatchery is far from Dequina’s house.D. The hatchery mainly protects injured turtles.SECTION C (10 marks)Directions: Read the following passage. Write your answers on your answer sheet.In Britain and other countries, young people usually take a “gap year”, a year off between high school and college. This idea never gained a big following in the United States. Recent news reports have suggested that interest may be growing, though there are no official numbers.Charles Deacon, the dean of admissions estimates that in the current first-year class of one thousand six hundred students, only twenty-five percent decided to take a year off. He says this number has not changed much over the years. He says the most common reasons to have a chance to travel, but international students may take a gap year to meet requirements at home for military duty.Some high school graduates see a year off as a chance to recover after twelve years of required education. But it can also give students a chance to explore their interest.Many colleges and universities support gap-year projects by permitting students to delay their admission. Experts say students can grow emotionally and intellectually as they work at something they enjoy. The Harvard admissions office has an essay on its Website called “Time Out or Burn Out for the Next Generation”. It praises the idea of taking time off to step back, think and enjoy gaining life experience outside the pressure of studies. Of course, a gap year is not for everyone. Students might miss their friends who go on directly to college. And parents might worry that their children will decide not to go to college once they take time off. Another concern is money.A year off, away from home, can be costly.Holly Bull is the president of the Center for Interim Programs. Her company specializes in helping students plan their gap year. She notes that several books have been written about this subject. And she points out that many gap-year progra ms cost far less than a year of college.31. How do many colleges and universities support gap-year projects? (No more than 8 words)32. What is the idea praised by the Harvard? (No more than 17 words)33. What is the purpose of some high school students taking a gap year?( No more than 6 words)34. Why do parents worry about children’s gap yea r ? (No more than 15 words)答卷页班级：________ 学号：_________ 姓名：_________得分：___________参考答案：1-15 CADBB, AACCC, BACCA16-30 DACAA, BCDCA, CCDDA31. By permitting students to delay their admission.32. Taking time off to step back, think and enjoy gaining life experience outside the pressure of studies.33. To recover and explore their interest.34. Because it may cost much money and make children not to go to college./ Because they are worried about high costs and children’s decision not to go to college.参考答案：1-15 CADBB, AACCC, BACCA16-30 DACAA, BCDCA, CCDDA31. By permitting students to delay their admission.32. Taking time off to step back, think and enjoy gaining life experience outside the pressure of studies.33. To recover and explore their interest.34. Because it may cost much money and make children not to go to college./ Because they are worried about high costs and children’s decision not to go to college.参考答案：1-15 CADBB, AACCC, BACCA16-30 DACAA, BCDCA, CCDDA31. By permitting students to delay their admission.32. Taking time off to step back, think and enjoy gaining life experience outside the pressure of studies.33. To recover and explore their interest.34. Because it may cost much money and make children not to go to college./ Because they are worried about high costs and children’s decision not to go to college.参考答案：1-15 CADBB, AACCC, BACCA16-30 DACAA, BCDCA, CCDDA31. By permitting students to delay their admission.32. Taking time off to step back, think and enjoy gaining life experience outside the pressure of studies.33. To recover and explore their interest.34. Because it may cost much money and make children not to go to college./ Because they are worried about high costs and children’s decision not to go to college.。