2018-2019学年河南省洛阳市第一中学高一上学期12月月考英语试题(解析版)

学2018-2019学年高一英语10月月考试题第I卷第一部分听力（共两节，满分30分）略第二部分阅读理解（共两节，满分35分）第一节（共10小题；每小题2.5分，满分25分）阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该项涂黑。

AWhen you are learning a foreign language, one of the hardest things to grasp is how and when to use colloquial idioms (口语习语) and expressions. Often used in both spoken and written la nguage, these idioms are very important. Using one of these phrases correctly when speaking or writing to an English spea ker is very impressive. Here are some wonderful British idiom s. Use them wisely!1. When pigs fly!This expression is one of my favorites and I use it all the time. It is used primarily when speaking, meaning that something i s extremely unlikely or impossible. For example, “I will forgive him when pigs fly!”“When do you think you will get a gym me mbership, Louise?”“When pigs fly!”2. A penny for your thoughts?This question is used in a situation where someone appears t houghtful or is very quiet seeming lost in thought. But rememb er that you don’t actually have to pay them a penny if they do tell you what is going on! For example, “You’ve been a bit qui et this evening, Pete. A penny for your thoughts?”3. It’s the bee’s knees.This expression means that something is of excellence or of v ery high quality. For example, “Try this chocolate. It’s the bee’s knees.”4. To feel a bit under the weather.I use this expression in many different situations but most use it to refer to feeling ill, or unwell. You would not use this phras e if you were feeling extremely unwell. It is only for those time s when you are feeling a little ill, or suffering from something slightly like a cold or a cough. However, this can also be used t o refer to feeling emotionally(情感上的) low.21. What would you say if you think something will never hap pen?A. When pigs fly!B. It’s the bee’s knees.C. A penny for your thoughts?D. To feel a bit under the weather.22. What does “A penny for your thoughts?” mean?A. Can I help you?B. Do you need money?C. How are you feeling?D. What are you thinking about?23. What is the author most likely to continue to write at the e nd of the last paragraph?A. A study.B. An example.C. Another idiom.D. The meaning of the idiom.BI often walked my dog Roux behind the swimming pool. And I once came across bedding. I wondered at the time who was s leeping there and why, and what had happened in his or her li fe.Then one day, I saw a young woman walking away from that area when I was walking. I was surprised and wondered if she was the person sleeping there. I saw here again the next day , walking towards that area of the park. Roux ran up to her for a pat, and she smiled.She was young. I asked her if she was sleeping there and she looked embarrassed and said “no”. I didn’t believe her. It was winter at the time. She just had a T-shirt on and a small backpack and looked cold.I thought of Mindy, my best friend, who has a big heart and al ways helps people in need. Then I took my lovely north Face j acket off and gave it to her. I was not as big-hearted as Mindy, because I hesitated(犹豫). It was a nice jacket, a rather expensive nice jacket, warm and windproof(防风的). I emptied the pockets of all my bits and pieces and hande d it over to her. She had tears in her eyes. She thanked me a nd put it on. “Oh,it’s still warm,” she said.In fact, it wasn’t an easy give. I wished that was the day I had worn my $25 dog walking jacket! But I knew her needs were greater than mine.24. How did the author feel when he found someone’s beddin g?A. Worried.B. Sad.C. Nervous.D. Surprised.25. Why did the young woman feel embarrassed?A. She didn’t believe the author.B. Her small backpack was dirty.C. Her living conditions were poor.D. She didn’t recognize the author’s dog.26. Why did the author hesitate before giving his jacket to the woman?A. It was Mindy’s jacket.B. He liked this jacket.C. The girl didn’t have a big heart.D. It was a $25 dog walking jacket.CGood health is the most valuable thing a person can have bu t one cannot take good health for granted. It is important to re member that the body needs proper care in order to be health y. There are three things that a person can do to help stay he althy, eating right food, getting enough sleep, and exercising regularly.Proper nutrition(营养) is important for good health. Your body cannot work well u nless it receives the proper kind "fuel". Don't eat too much foo d with lots of sugar and fat. Eat plenty of foods high in protein(蛋白质), like meat, fish, eggs and nuts. Vegetables and fruits are v ery important because they provide necessary vitamins and m inerals. However, don't overeat. It is not helpful to be overwei ght.Getting the proper amount of sleep is also important. If you don't get enough sleep, you feel tired and easily get angry. Yo u have no energy. Over a long period of time a little amount of sleep may even result in a change of personality(人的个性). Be sure to allow yourself from seven to nine hours of slee p each day. If you do, your body will feel strong and refreshed , and your mind will be sharp.Finally, get plenty of exercise. Exercise makes the body str onger, strengthens the muscles(肌肉), and prevents you from gaining weight. It also improves yo ur heart and lungs. If you follow a regular exercise program, y ou will probably increase your life-span(寿命). Any kind of exercise is good. Most sports are good for keeping the body in good shape: basketball, swimming, bicyclin g, running and so on. Sports are not only good for your body, but they are enjoyable and interesting, too.If everybody were to eat the right foods, get plenty of sleep and exercise regularly, the world would be a happier and heal thier place. We would all live to be much older and wiser.27. In order to keep good health, .A. we should eat much sugar and fatB. we need a larger amount of meatC. we should take in proper nutritionD. we must overeat vegetables and fruits28. Eating more and sleeping less .A. makes us healthierB. helps keep our personalityC. gets us more energyD. does harm to our health29. In the 4th paragraph, the writer wants to tell us .A. how we can strengthen our musclesB. how important for us to take exerciseC. how we can increase your life-spanD. how enjoyable and interesting sports are30. The best title for the article should be .A. Eating and ExerciseB. Exercising RegularlyC. Staying HealthyD. Sleeping Enough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。

2015年天津卷高考真题英语试卷-学生用卷一、单项选择1、【来源】 2015年高考真题天津卷第1题2020~2021学年天津和平区天津市第二南开学校高一上学期期中第22题0.5分2017~2018学年天津高一期末联考第9题1分2018~2019学年天津静海区天津市静海区第一中学高二上学期期中第16题1分—Sorry, Liz. I think I was a bit rude to you.—______, but don't do that again!A. Go aheadB. Forget itC. It dependsD. With pleasure2、【来源】 2015年高考真题天津卷第2题The quality of education in this small school is better than ______ in some larger schools.A. thatB. oneC. itD. this3、【来源】 2015年高考真题天津卷第3题2016~2017学年广东广州高二上学期期中五校联考第17题1分2018~2019学年吉林长春朝阳区吉林省实验中学高二下学期期末第30题1分Only when Lily walked into the office that she had left the contract at home.A. she realizedB. has she realizedC. she has realizedD. did she realize4、【来源】 2015年高考真题天津卷第4题—Jack, you seem excited.—______? I won the first prize.A. Guess whatB. So whatC. Pardon meD. Who cares5、【来源】 2015年高考真题天津卷第5题2018~2019学年10月广东深圳福田区深圳市高级中学高中部高二月考第47题1分2019~2020学年广东深圳罗湖区深圳市翠园中学高二上学期期中第6题1分2019~2020学年陕西西安长安区西安交通大学附属中学航天学校高三上学期段考（四诊）第22题1分2017~2018学年北京海淀区北京市十一学校高二上学期期末第49题0.5分in painting, John didn't notice evening approaching.A. To absorbB. To be absorbedC. AbsorbedD. Absorbing6、【来源】 2015年高考真题天津卷第6题2016~2017学年天津高一下学期期末第22题0.5分2017~2018学年天津和平区天津市第一中学高一下学期期末第25题1分2019~2020学年陕西西安长安区西安交通大学附属中学航天学校高三上学期段考（四诊）第23题1分2016~2017学年北京海淀区北京一零一中学高二下学期期中第22题1分Jane can't attend the meeting at 3 o'clock this afternoon because she a class at that time.A. will teachB. would teachC. has taughtD. will be teaching7、【来源】 2015年高考真题天津卷第7题2019~2020学年3月天津河西区高三下学期月考第14题1分I ______ have worried before I came to the new school, for my classmates here are very friendly to me.A. mightn'tB. mustn'tC. needn'tD. couldn't8、【来源】 2015年高考真题天津卷第8题2018~2019学年10月天津和平区天津市双菱中学高二上学期月考第26题1分2018~2019学年10月广东深圳福田区深圳市高级中学高中部高二月考第48题1分2019~2020学年3月天津河西区高三下学期月考第11题1分2019~2020学年广东深圳福田区深圳市高级中学高中部高一下学期期中第15题1.5分______ for two days, Steve managed to finish his report on schedule.A. To workB. WorkedC. To be workingD. Having worked9、【来源】 2015年高考真题天津卷第9题2019~2020学年12月江苏南京玄武区南京市第九中学高一上学期月考第63题1分2018~2019学年陕西西安未央区西安中学高一上学期期末第26题1分2017~2018学年北京东城区北京汇文中学高二上学期期中第35题1分2017~2018学年广东深圳福田区深圳市高级中学高中部高一下学期期中第53题1分Despite the previous rounds of talks, no agreement so far by the two sides.A. has been reachedB. was reachedC. will reachD. will have reached10、【来源】 2015年高考真题天津卷第10题2019~2020学年陕西西安长安区西安交通大学附属中学航天学校高三上学期段考（四诊）第25题1分Tom had to the invitation to the party last weekend because he was too busy.A. turn inB. turn downC. turn overD. turn to11、【来源】 2015年高考真题天津卷第11题2019~2020学年天津南开区高三上学期期末第6题1分If you have any doubts about your health, you'd better______ your doctor at once.A. convinceB. consultC. avoidD. affect12、【来源】 2015年高考真题天津卷第12题We need to get to the root of the problem we can solve it.A. whileB. afterC. beforeD. as13、【来源】 2015年高考真题天津卷第13题2015~2016学年北京西城区北京师范大学第二附属中学高二上学期期中第5题I wish I ______ at my sister's wedding last Tuesday, but I was on a business trip in New York then.A. will beB. would beC. have beenD. had been14、【来源】 2015年高考真题天津卷(部分区联考)第14题2016~2017学年天津高一下学期期末第13题1分See, your computer has broken down again! It doesn't ______ sense to buy the cheapest brand of computer just to save a few dollars.A. haveB. makeC. displayD. bring15、【来源】 2015年高考真题天津卷第15题2018~2019学年广东深圳宝安区宝安第一外国语学校高二下学期期中第62题1分2017~2018学年天津和平区天津市第一中学高二上学期期末第16题1分The boss of the company is trying to create an easy atmosphere his employees enjoy their work.A. whereB. whichC. whenD. who二、完型填空16、【来源】 2015年高考真题天津卷第16题2017~2018学年12月河南洛阳洛龙区洛阳市第一高级中学高二上学期月考第36~55题20分2019~2020学年高一下学期单元测试第30~49题2017~2018学年黑龙江大庆红岗区大庆市铁人中学高二上学期期中第41~60题30分My fiance （未婚夫） and I were excited about shopping for our first home. But our fundswere1, and none of the houses in our price range seemed satisfactory.One agent2 a house in particular. Although her description sounded wonderful, the price was3our range, so we declined. But she kept urging us to have a look4.We finally did and it was5at first sight. It was Our Home, small and charming, overlooking a quiet lake. Walking through the rooms and talking with the owners, a nice elderly couple, we felt the warmth and6of the marriage within that home. As perfect as it was, the price remained too high for us. But every day, we would sit by the lake, looking at the house and dreaming of7it would be like to live there.Days later, we made a(n)8—far below the asking price. Surprisingly, they didn't9us. They renewed their offer10. It was also much more than we could afford, but far11than the original asking price.The next day, we got a12message that another buyer had offered a much higher price. Even so, we decided to talk with the13directly. We made our final offer, which14was thousands of dollars less than the other buyer's bid. We knew it,15we had to try.“Sold!” said the owner. Then he16: He'd seen us sitting by the lake all those times; he knew how much we loved the place and that we'd17the years of work they had put into their home; he realized he would take a18by selling it to us, but it was worthwhile; we were the people they wanted to live there. He told us to consider the19in the price “an early wedding present.”That's how we found our home and how I learned that when peopleare20they are not strangers, only friends we haven't yet met.A. neededB. limitedC. enoughD. largeA. recommendedB. decoratedC. soldD. rentedA. belowB. withinC. beyondD. betweenA. at leastB. at mostC. at timesD. at handA. reliefB. concernC. loveD. curiosityA. prideB. happinessC. challengeD. desireA. whichB. whyC. thatD. whatA. effortB. offerC. promiseD. profitA. come acrossB. look afterC. depend onD. laugh atA. insteadB. indeedC. asideD. apartA. worseB. betterC. lessD. higherA. relaxingB. disappointingC. pleasantD. regularA. agentsB. buyersC. managersD. ownersA. alreadyB. stillC. generallyD. everA. soB. orC. forD. butA. apologizedB. complainedC. criticizedD. explainedA. checkB. analyzeC. appreciateD. ignoreA. lossB. riskC. chanceD. leadA. increaseB. differenceC. interestD. averageA. kindB. politeC. smartD. energetic三、阅读理解17、【来源】 2015年高考真题天津卷（A篇）第17题University Room RegulationsApproved and Prohibited ItemsThe following items are approved for use in residential （住宿的） rooms: electric blankets, hair dryers, personal computers, radios, televisions and DVD players. Items that are not allowed in student rooms include: candles, ceiling fans, fireworks, waterbeds, sun lamps and wireless routers. Please note that any prohibited items will be taken away by the Office of Residence Life.Access to Residential RoomsStudents are provided with a combination （组合密码） for their room door locks upon check-in. Do not share your room door lock combination with anyone. The Office of Residence Life may change the door lock combination at any time at the expense of the resident if it is found that the student has shared the combination with others. The fee is $25 to change a room combination.Cooking PolicyStudents living in buildings that have kitchens are only permitted to cook in the kitchen. Students must clean up after cooking. This is not the responsibility of housekeeping staff. Kitchens that are not kept clean may be closed for use. With the exception of using a small microwave oven （微波炉） to heat food, students are not permitted to cook in their rooms.Pet PolicyNo pets except fish are permitted in student rooms. Students who are found with pets, whether visiting or owned by the student, are subject to an initial fine of ＄100 and a continuing fine of ＄50 a day per pet. Students receive written notice when the fine goes into effect. If, one week from the date of written notice, the pet is not removed, the student is referred to the Student Court.Quiet HoursResidential buildings must maintain an atmosphere that supports the academic mission of the University. Minimum quiet hours in all campus residences are 11:00 pm to 8:00 am Sunday through Thursday. Quiet hours on Friday and Saturday nights are 1:00 am to 8:00 am. Students who violate quiet hours are subject to a fine of $25.(1) Which of the following items are allowed in student rooms?A. Ceiling fans and waterbeds.B. Wireless routers and radios.C. Hair dryers and candles.D. TVs and electric blankets.(2) What if a student is found to have told his combination to others?A. The combination should be changed.B. The Office should be charged.C. He should replace the door lock.D. He should check out of the room.(3) What do we know about the cooking policy?A. A microwave oven can be used.B. Cooking in student rooms is permitted.C. A housekeeper is to clean up the kitchen.D. Students are to close kitchen doors after cooking.(4) If a student has kept a cat in his room for a week since the warning, he will face _____.A. parent visitsB. a fine of $100C. the Student CourtD. a written notice(5) When can students enjoy a party in residences?A. 7:00 am, Sunday.B. 7:30 am, Thursday.C. 11:30 pm, Monday.D. 00:30 am, Saturday.18、【来源】 2015年高考真题天津卷第18题Whether in the home or the workplace, social robots are going to become a lot more common in the next few years. Social robots are about to bring technology to the everyday world in a more humanized way, said Cynthia Breazeal, chief scientist at the robot company Jibo.While household robots today do the normal housework, social robots will be much more like companions than mere tools. For example, these robots will be able to distinguish when someone is happy or sad. This allows them to respond more appropriately to the user.The Jibo robot, arranged to ship later this year, is designed to be a personalized assistant. You can talk to the robot, ask it questions, and make requests for it to perform different tasks. The robot doesn't just deliver general answers to questions; it responds based on what it learns about each individual in the household. It can do things such as reminding an elderly family member to take medicine or taking family photos.Social robots are not just finding their way into the home. They have potential applications in everything from education to health care and are already finding their way into some of these spaces.Fellow Robots is one company bringing social robots to the market. The company's "Oshbot" robot is built to assist customers in a store, which can help the customers find items and help guide them to the product's location in the store. It can also speak different languages and make recommendations for different items based on what the customer is shopping for.The more interaction the robot has with humans, the more it learns. But Oshbot, like other social robots, is not intended to replace workers, but to work alongside other employees. "We have technologies to train social robots to do things not for us, but with us, " said Breazeal.(1) How are social robots different from household robots?A. They can control their emotions.B. They are more like humans.C. They do the normal housework.D. They respond to users more slowly.(2) What can a Jibo robot do according to Paragraph 3?A. Communicate with you and perform operations.B. Answer your questions and make requests.C. Take your family pictures and deliver milk.D. Obey your orders and remind you to take pills.(3) What can Oshbot work as?A. A language teacher.B. A tour guide.C. A shop assistant.D. A private nurse.(4) We can learn from the last paragraph that social robots will.A. train employeesB. be our workmatesC. improve technologiesD. take the place of workers(5) What does the passage mainly present?A. A new design idea of household robots.B. Marketing strategies for social robots.C. Information on household robots.D. An introduction to social robots.19、【来源】 2015年高考真题天津卷第19题2017~2018学年12月河南洛阳洛龙区洛阳市第一高级中学高二上学期月考第21~25题10分2017~2018学年陕西西安雁塔区陕西师范大学附属中学高三上学期开学考试第24~28题10分One day when I was 12, my mother gave me an order: I was to walk to the public library, and borrow at least one book for the summer. This was one more weapon for her to defeat my strange problem—inability to read.In the library, I found my way into the "Children's Room."I sat down on the floor and pulled a few books off the shelf at random. The cover of a book caught my eye. It presented a picture of a beagle. I had recently had a beagle, the first and only animal companion I ever had as a child. He was my secret sharer, but one morning, he was gone, given away to someone who had the space and the money to care for him. I never forgot my beagle.There on the book's cover was a beagle which looked identical to my dog. I ran my fingers over the picture of the dog on the cover. My eyes ran across the title, Amos, the Beagle with a Plan. Unknowingly, I had read the title. Without opening the book, I borrowed it from the library for the summer.Under the shade of a bush, I started to read about Amos. I read very, very slowly with difficulty. Though pages were turned slowly, I got the main idea of the story about a dog who, like mine, had been separated from his family and who finally found his way back home. That dog was my dog, and I was the little boy in the book. At the end of the story, my mind continued the final scene of reunion, on and on, until my own lost dog and I were, in my mind, running together.My mother's call returned me to the real world. I suddenly realized something: I had read a book, and I had loved reading that book. Everyone knew I could not read. But I had read it. Books could be incredibly wonderful and I was going to read them.I never told my mother about my "miraculous"（奇迹般地）experience that summer, but she sawa slow but remarkable improvement in my classroom performance during the next year. And years later, she was proud that her son had read thousands of books, was awarded a PhD in literature, and authored his own books, articles, poetry and fiction. The power of the words has held.(1) The author's mother told him to borrow a book in order to.A. encourage him to do more walkingB. let him spend a meaningful summerC. help cure him of his reading problemD. make him learn more about weapons(2) The book caught the author's eye because.A. it contained pretty pictures of animalsB. it reminded him of his own dogC. he found its title easy to understandD. he liked children's stories very much(3) Why could the author manage to read the book throughA. He was forced by his mother to read it.B. He identified with the story in the book.C. The book told the story of his pet dog.D. The happy ending of the story attracted him.(4) What can be inferred from the last paragraph?A. The author has become a successful writer.B. The author's mother read the same book.C. The author's mother rewarded him with books.D. The author has had happy summers ever since.(5) Which one could be the best title of the passage?A. The Charm of a BookB. Mum's Strict OrderC. Reunion with My BeagleD. My Passion for Reading20、【来源】 2015年高考真题天津卷第20题DOnce when I was facing a decision that involved high risk, I went to a friend. He looked at me for a moment, and then wrote a sentence containing the best advice I've ever had: Be bold and brave — and mighty (强大的) forces will come to your aid.Those words made me see clearly that when I had fallen short in the past, it was seldom because I had tried and failed. It was usually because I had let fear of failure stop me from trying at all. On the other hand, whenever I had plunged into deep water, forced by courage or circumstance, I had always been able to swim until I got my feet on the ground again.Boldness means a decision tobite off more than you can eat. And there is nothing mysterious about the mighty forces. They are potential powers we possess: energy, skill, sound judgment, creative ideas —even physical strength greater than most of us realize.Admittedly, those mighty forces are spiritual ones. But they are more important than physical ones. A college classmate of mine, Tim, was an excellent football player, even though he weighed much less than the average player. “In one game I suddenly found myself confronting a huge player, who had nothing but me between him and our goal line,” said Tim. “I was so frightened that I closed my eyes and desperately threw myself at that guy like a bullet — and stopped him cold.”Boldness — a willingness to extend yourself to the extreme—is not one that can be acquired overnight. But it can be taught to children and developed in adults. Confidence builds up. Surely, there will be setbacks (挫折) and disappointments in life; boldness in itself is no guarantee of success. But the person who tries to do something and fails is a lot better off than the person who tries to do nothing and succeeds.So, always try to live a little bit beyond your abilities—and you'll find your abilities are greater than you ever dreamed.(6) Why was the author sometimes unable to reach his goal in the past?A. He faced huge risks.B. He lacked mighty forces.C. Fear prevented him from trying.D. Failure blocked his way to success.(7) What is the implied meaning of the underlined part?A. Swallow more than you can digest.B. Act slightly above your abilities.C. Develop more mysterious powers.D. Learn to make creative decisions.(8) What was especially important for Tim’s successful defense in the football game?A. His physical strength.B. His basic skill.C. His real fear.D. His spiritual force.(9) What can be learned from Paragraph 5?A. Confidence grows more rapidly in adults.B. Trying without success is meaningless.C. Repeated failure creates a better life.D. Boldness can be gained little by little.(10) What is the author’s purpose in writing this passage?A. To encourage people to be courageous.B. To advise people to build up physical power.C. To tell people the ways to guarantee success.D. To recommend people to develop more abilities.四、任务型阅读21、【来源】 2015年高考真题天津卷第21题Six days a week, up and down the red hills of northeast Georgia, my grandfather brought the mail to the folks there. At age 68, he retired from the post office, but he never stopped serving the community.On his 80th birthday, I sent him a letter, noting the things we all should be thankful for — good health, good friends and good outcomes. By most measurements he was a happy man. Then I suggested it was time for him to slow down. At long last, in a comfortable home, with a generous pension, he should learn to take things easy.“Thank you for your nice words,” he wrote in his letter back, “and I know what you meant, but slowing down scares me. Life isn't having it made; it's getting it made.”“The finest and happiest years of our lives were not when all the debts were paid, and all difficult experiences had passed, and we had settled into a comfortable home. No. I go back years ago, when we lived in a three-room house, when we got up before daylight and worked till after dark to make ends meet.I rarely had more than four hours of sleep. But what I still can't figure out is why I never got tired, never felt better in my life. I guess the answer is, we were fighting for survival, protecting and providing for those we loved. What matters are not the great moments, but the partial victories, the waiting, and even the defeats. It's the journey, not the arrival, that counts.”The letter ended with a personal request: “Boy, on my next birthday, just tell me to wake up and get going, because I will have one less year to do things — and there are ten million things waiting to be done.”Christina Rossetti, an English poet, once said: “Does the road wind uphill all the way? Yes, to the very end.” Today, at 96, my grandfather is still on that long road, climbing.(6) What was the author’s grandfather before he retired? (no more than 5 words)(7) What did the author advise his grandfather to do in his letter? (no more than 10 words)(8) What is the grandfather’s view on life according to his letter back? (no more than 10 words)(9) How do you understand the underlined sentence in the last paragraph? (no more than 10 words)(10) Do you agree with the grandfather’s view on life? Give reasons in your own words, (no more than 20 words)五、书面表达22、【来源】 2015年高考真题天津卷第22题假设你是晨光中学学生会主席李津，你校拟向美国友好交流学校的中文班捐赠一批图书。

2018-2019学年江苏省盐城中学七年级（上）第一次月考英语试卷（10月份）试题数：42，总分：1001.（单选题，1分）What are the five vowel letters（五个元音字母）？（）A.AEYOUB.AHJKUC.AEIOUD.BCDEG2.（单选题，1分）The words " film, bill, risk and "are in the same sound group.（相同的发音集合）（）A.fineB.biteC.silkD.cite3.（单选题，1分）Amy's eyes big and her hair long.（）A.is,areB.is,isC.are,isD.are,are4.（单选题，1分）--It's time to go to bed,Betty!--OK．________ ，Mummy.（）A.Good morningB.Good nightC.Good eveningD.Good afternoon5.（单选题，1分）Hobo is e-dog. Eddie likes e-dog.（）A.an,aB.an,theC.a,anD.a,the6.（单选题，1分）My cousin Andy is a student in .（）A.class 4， grade 8B.Class 4， Grade 8C.grade 8， class 4D.Grade 8，Class 47.（单选题，1分）--- our school nice, boys and girls？（）--- .We like it very much.A.Is,YesB.Is,NoC.Does, YesD.Does,No8.（单选题，1分）Simon is wearing a new jacket. He very cool.（）A.seesB.looksC.watchesD.finds9.（单选题，1分）---May I have a dog at home,Dad？---Yes,you can.But you must know how to _____a dog.（）A.look likeB.look atC.look forD.look after10.（单选题，1分）-________ Tom in the English Club？（）-Yes,but he ________ go there very often.A.Does； doesn'tB.Does； isn'tC.Is； doesD.Is； doesn't11.（单选题，1分）Sun Yan from Hangzhou,but now he in Beijing.（）es； livinges； livesC.is；livee；live12.（单选题，1分）These boys are ________ swimmers. They all swim very ________．（）A.good； wellB.good； goodC.well； goodD.well； well13.（单选题，1分）Eddie is Millie's pet dog. It makes her happy.（）A.feelB.to feelC.feelsD.feeling14.（单选题，1分）--How does your mother look？（）--- .A.She is a teacherB.She likes readingC.She looks tall and slimD.She walks to school15.（单选题，1分）--I meet an old friend of mine today. I am very happy.---Oh, ？ Who is he？A.of courseB.rightC.reallyD.good16.（填空题，10分）I have a friend. He is a boy. His name is Nick. He is from England. Nick is a sports fan. He likes （1）___ every kind of games. He likes basketball,football,tennis,badminton （2）___ swimming. And Nick（3）___ football very well. Yang Chen is his favourite football player. Nick is a member （4）___ the football club. When he goes shopping,he always（5）___ newspapers about sports and he often watches sports news. His school is very big and beautiful. There is a big （6）___ in his school. He usually plays football（7）___ his friends on it after school.Nick says that he wants to（8）___ a football player when he grows up. Nick often goes to the stadium（体育馆） to watch the（9）___ matches at weekends. He （10）___ want to miss（错过）any match.（1）A.watching B. to watching C.watch D.watches （2）A.or B.but C. and D.so（3）A.play B.plays C.to play D. playing （4）A. with B. of C. on D. at（5）A. buys B. buies C. buy D. buying （6）A. playground B. park C. gate D. building （7）A. of B. about C. with D. and（8）A. is B. / C. be D. being （9）A. football B. basketball C. tennis D. swimming （10）A does B. doesn't C. don't D. do17.（填空题，6分）Tom is three years old. He likes to watch TV with his parents after dinner but his parents never let him stay long. Mother will say, "It's eight o'clock now. It's time for you to go to bed, Tom.""But why don't you go to bed ？" Tom always asks."We are adults （成年人），" mother says, "and adults go to bed late."It is evening again. Tom asks his mother for an apple."But it's too late,"his mother doesn't want to give him anything to eat at bedtime. "The apples are already asleep （睡着的）.""But not all of them, Mom." Tom says "The baby apples are sleeping, but their parents are surely not."（1）Tom likes to watch TV with his___ after dinner.A. sisterB. parentsC. grandparentsD. friends（2）Tom's mother doesn't want to give anything to him to eat___ .A. in the morningB. in the afternoonC. at bedtimeD. at noon（3）From the story we know Tom is a___ boy.A. silly（傻）B. shortC. strongD. clever18.（填空题，6分）Hi ， Li Hua ，I'm Jordan. I'm so glad you're coming to stay with us ! I live in a house in London with my parents and two brothers, John and Mike. John likes art and Mike likes Chinese. They both like making friends.Music and sports are two of my biggest hobbies. Do you know The Vaccines ？ It's my favourite London band （乐队）. I'll take you to enjoy their wonderful performance（表演）. And of course sports--I'm captain （队长） of my school football team. We always play football after school. I have a pen friend named Simon. He is from Beijing and he is your crazy fan. We often write to each other and talk about football. He tells me that you are his hero. He wants to play football as well as you do. And I want to play football well too.I can't wait to meet you and take you to see London !Jordan（1）How many people are there in Jordan's family ？___A. ThreeB. FourC. FiveD. Six（2）What is Jordan interested in （对…感兴趣）？___A. Music and ChineseB. Art and ChineseC. Sports and musicD. Music and art（3）Which is RIGHT according to the passage ？___A. Jordan's family live in London.B. Li Hua is captain of his school football team.C. The Vaccines is Li Hua's favourite London band.D. Simon always plays football after school with Jordan.19.（填空题，8分）Hello ， my name is Goldie, I am a dog but I am not a pet. I have a very important job. I work as a seeing-eye dog. People call us seeing-eye dogs because we are the "eyes"of blind （失明的） people and help them to "see".It is not easy to become a seeing-eye dog . It takes a lot of hard work and training（训练）. The training is difficult and most dogs cannot do it .My job is to work with my partner, Jim. Jim is blind. We live and work in London. London is a very busy city. I help Jim get around--along busy streets, across roads and on trains and buses every day.I enjoy my job and I am proud of what I do. I think Jim is proud of me, too. You can always see him smiling.（1）Goldie is___ .A. a seeing-eye dogB. a blind manC. a petD. a doctor（2）What's wrong with Jim ？___ .A. He can't walkB. He can't hearC. He can't see anythingD. He can't speak（3）Jim feels___ when he lives and works with Goldie.A. importantB. blindC. busyD. happy（4）What can Goldie help Jim to do？___ .A.To walk along busy streetsB. To walk across roadsC. To get on trains and busesD. All of the above （以上都对）20.（填空题，10分）Hi! Do you know the three children？ They are in a happy family. Xiao Xue is a helpful girl. She is beautiful. She likes studying. She studies very hard. She gets up early and finishes her breakfast quickly. Then she rides her bike to school. Liu Xing is a little lazy. He gets up late and then washes his face, brushes his teeth in a hurry. Then he goes to the bus stop without breakfast. He usually plays basketball after school. In the evening, he seldom （很少）does homework. He goes to bed late. Xiao Yu is a lovely boy. He gets up very slowly and then he usually takes a shower（淋浴）at home before breakfast. After that, he goes to school in his father's car. He likes watching TV in the evening.（1）What does Xiao Xue like doing？___（2）How does Liu Xing go to school？___（3）When does Liu Xing usually play basketball？___（4）Where does Xiao Yu take a shower？___（5）Who do you like best of the three children？ Why？___21.（填空题，1分）Some of my___ like doing sports in the playground. （学生）22.（填空题，1分）Andy, I'm new here. What___ can you show me？（另外）23.（填空题，1分）There are a___ of interesting books in the school library. （许多）24.（填空题，1分）Tom with his parents often___ （购物） at weekends.25.（填空题，1分）-- What's your___ ， Andy？-- I'm 14 years old. （年龄）26.（填空题，1分）We are all___ of the school volleyball club. （/membə（r）/）27.（填空题，1分）How about meeting at the___ of the park？（/geɪt/）28.（填空题，1分）Li Ming plays for Changjiang Football___ . （/ti：m/）29.（填空题，1分）I have many hobbies and I like___ best. （ /da：ns/ ）30.（填空题，1分）Look at the___ cat. It is eating a fish. （ /kju：t/ ）31.（填空题，10分）Hello, boys and girls. I have some important things to tell you.What's the date today？ Yes, it is 8 November. And tomorrow is a big day for us. It's our first （1）O___ Day. And all your parents will come to school. We must get ready for it.First of all, there is a（2）p___ meeting in the school hall. It （3）b___ at 8：30 in the morning. So please tell your parents not to be late. And （4）a___ that, your parents can come to the （5）c___ . They can （6）w___ two of our lessons. In the （7）a___ ， your parents can play some interesting games （8）w___ you. At last, you can go home with your parents. You don't want your parents to see a dirty and messy classroom, do you？ So we must keep our classroom clean. And I （9）h___ all of you can be active in class. And I want you to be polite, too. Let's work hard together to make （10）t___ a happy day!32.（填空题，1分）Her hair is long. （改为同义句）___ ___ long hair.33.（填空题，1分）Their school is very beautiful.（改为一般疑问句，并作肯定回答）___ their school very beautiful？ Yes,___ is.34.（填空题，1分）Daniel doesn't watch TV every evening.（改为肯定句）Daniel___ TV every evening.35.（填空题，1分）Kitty and Annie are in the same school.（改为否定句）Kitty and Annie___ in the same school.36.（填空题，1分）I want to be a football player some day.（对划线部分提问）___ ___ you want to be some day？37.（填空题，2分）游泳能使我们强壮。

河南省洛阳市第一中学学校2022-2023高一下学期历史3月份月考试卷卷二注意事项：1．本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。

满分100分，考试时间90分钟。

答卷前，考生务必将自己的姓名、准考证号写在答题卡上。

2．回答第Ⅰ卷时，选出每小题答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其他答案标号框。

写在本试卷上无效。

3．回答第Ⅱ卷时，将答案写在答题卡上。

写在本试卷和草稿纸上无效。

4．考试结束，只交答题卡。

第Ⅰ卷(选择题60分)一、选择题（本题共40小题，每小题1.5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．西周宗法制的核心是（）A．长子继承制B．分封制C．中央集权制D．嫡长子继承制2．国学大师王国维在《殷周制度论》中说：“自殷以前天子诸侯君臣之分未定也……当商之末而周之文、武亦称王，盖诸侯之于天子，犹后世诸侯之于盟主，未有君臣之分也。

”为改变这种状况，周初统治者实行了（）A．王位世袭制B．分封制C．嫡长子继承制D．郡县制3．春秋时期，大国打出“尊王”的旗号争夺霸主地位，挟天子以号令其他诸侯；战国时期，诸侯不再尊崇周天子，自行称王并互相攻伐兼并。

这反映出当时（）A．统一趋势逐渐增强B．中央集权日趋瓦解C．贵族政治业已崩塌D．宗法原则受到冲击4．据《春秋左传》记载，春秋时期，国与国间种种来往，仍多少遵守着周公所定封建制度下的一切礼文来维系。

此种礼文，在当时乃为霸业所屏（凭）．这表明当时（）A．周礼具有国与国交往公法的性质B．周礼对诸侯国仍具有很强的约束力C．周礼已沦为各国玩弄权术的工具D．尊崇周礼是诸侯国称霸的决定因素5．如图为两种不同的养马方式，图一是散养，图二是厩养。

两者相比，后者的优势主要在于（）A．保护生态环境B．确保牲畜安全C．降低养殖成本D．增大综合效益6．春秋战国时期，我国农业耕作方式发生了革命性的进步，根本原因是是（）A．青铜制造技术的进步B．使用二牛一人的耕作方法C．各国之间的战争与兼并D．生产力水平的提高7．如图所示我国古代发明的生产工具（技术），反映了农用动力革新的是（）A．①②B．②③C．①③D．②④8．有先秦思想家认为，“君上之于民也，有难则用其死，安平则尽其力”。

2022-2023学年山东省威海乳山市第一中学高一上学期12月月考数学试题一、单选题1．已知集合{}15A x N x =∈<<，那么下列关系正确的是（ ）A AB ．3A ∈C ．A ⊆D ．{}3A ∈【答案】B【分析】根据元素与集合、集合与集合的关系进行判断即可. 【详解】集合{}{}152,3,4A x x =∈<<=N ，对选项A A ，故A 错误； 对选项B ，3A ∈，故B 正确；对选项C A ，故C 错误；对选项D ，{}3表示集合，{}3A ∈表示错误，故D 错误. 故选：B.2．设20.6a =，0.62b =，2log 0.6c =，则a ，b ，c 的大小关系为（ ） A ．a b c >> B ．a c b >> C ．b a c >> D ．c a b >>【答案】C【分析】利用对数函数和指数函数的性质求解. 【详解】解：∵200.61<<，∴01a <<， ∵0.60221>=，∴1b >， ∵22log 0.6log 10<=，∴0c <， ∴b a c >>， 故选：C.3．若正数a 、b 满足4a b +≤，则下列各式中恒正确的是（ ）A ．112ab ≥； B ．111a b+≥；C 2≥；D ．221162ab a b ≥-+．【答案】B【分析】由条件可得4ab ≤，可判断AC ，由11111()()14a b a b a b+≥++≥，可判断C ，由22162a a b b+≤-可判断D.【详解】∵0,0,4a b a b >>+≤，∴202a b ab +⎛⎫<≤ ⎪⎝⎭，当且仅当2a b ==时等号成立，∴2042a b ab +⎛⎫<≤≤ ⎪⎝⎭，∴114ab ≥，可取到14，故A 错误； ∵4a b +≤，∴1111111()()(2)(21444b a a b a b a b a b +≥++=++≥+=， 当且仅当2a b ==时取等号，故B 正确；2，故C 错误； 由222()2162a b ab ab a b =+-≤-+，∴2211612a b ab+≥-，取1a b ==，2211121426a b ab <-==+，221162ab a b ≥-+不成立，故D 错误.故选：B ．4．某市工业生产总值2018年和2019年连续两年持续增加，其中2018年的年增长率为p ，2019年的年增长率为q ，则该市这两年工业生产总值的年平均增长率为（ ）A ．2p q+； B ．()()1112p q ++-； C D 1．【答案】D【分析】设出平均增长率，并根据题意列出方程，进行求解【详解】设该市2018、2019这两年工业生产总值的年平均增长率为x ，则由题意得：()()()2111x p q +=++，解得11x =，21x =，因为20x <不合题意，舍去故选D ．5．已知某地区中小学生人数和近视情况分别如图1和如图2所示，为了了解该地区中小学生的近视形成原因，用分层抽样的方法抽取2%的学生进行调查，则样本容量和抽取的高中生近视人数分别为（ ）A ．100，20B ．200，20C ．100，10D ．200，10【答案】B【详解】试题分析：由题意知，样本容量为()3500450020002%200++⨯=，其中高中生人数为20002%40⨯=，高中生的近视人数为4050%20⨯=，故选B.【考点定位】本题考查分层抽样与统计图，属于中等题.6．下列函数中，函数图象关于y 轴对称，且在()0,∞+上单调递增的是（ ） A ．2x y = B ．21y x =- C ．12y x = D ．12log y x =【答案】B【分析】根据题意函数为偶函数且在()0,∞+上单调递增，对选项进行逐一验证. 【详解】函数图象关于y 轴对称，则函数为偶函数， 选项A. 2x y =不是偶函数，故排除.选项B. 21y x =-是偶函数，且在()0,∞+上单调递增，满足条件. 选项C. 12y x =不是偶函数，故排除.选项D. 12log y x =是偶函数，当0x >时，12log y x=是减函数，不满足.故选：B7．已知函数()242,1,,1,x x ax x f x a x ⎧-+<=⎨⎩对于任意两个不相等实数12,x x ，都有()()12120f x f x x x -<-成立，则实数a 的取值范围是（ ）A ．10,2⎛⎤ ⎥⎝⎦B ．13,25⎡⎤⎢⎥⎣⎦C ．30,5⎛⎤ ⎥⎝⎦D ．1,12⎡⎫⎪⎢⎣⎭【答案】B【分析】由题可得函数为减函数，根据单调性可求解参数的范围. 【详解】由题可得，函数()f x 为单调递减函数， 当1x <时，若()f x 单减，则对称轴21x a =≥，得：12a ≥, 当1x ≥时，若()f x 单减，则01a <<， 在分界点处，应满足142a a -+≥，即35a ≤，综上：1325a ≤≤ 故选：B8．Logistic 模型是常用数学模型之一，可用于流行病学领域.有学者根据所公布的数据建立了某地区新冠肺炎累计确诊病例()I t （t 的单位：天）的Logistic 模型：()1241etK I t -=+，其中K 为最大确诊病例数.当()00.05I t K =时，标志着已初步遏制疫情，则0t 约为()ln193≈（ ） A ．35 B ．36 C ．60 D ．40【答案】B【分析】根据题意列出等式，整理化简可得0ln19124t =-，解出0t 即可. 【详解】由题意知，0()0.05I t K =，得01240.051t K K e-=+，整理，得012419t e -=，即0ln19124t =-， 解得036t ≈. 故选：B二、多选题9．已知p ：[]2,3x ∃∈，220x a -+≤成立，则下列选项是p 的充分不必要条件的是（ ） A ．6a > B ．6a < C ．10a ≥ D ．10a ≤【答案】AC【分析】依题意由存在量词命题为真求出参数的取值范围，再根据充分条件、必要条件的定义判断即可；【详解】解：由p ：[]2,3x ∃∈，220x a -+≤成立，得当[]2,3x ∈时，()2min26a x ≥+=，即6a ≥.对于A ，“6a >”是“6a ≥”的充分不必要条件； 对于B ，“6a <”是“6a ≥”的既不充分也不必要条件； 对于C ，“10a ≥”是“6a ≥”的充分不必要条件； 对于D ，“10a ≤”是“6a ≥”的既不充分也不必要条件. 故选：AC.10．下列对各事件发生的概率判断正确的是（）A ．某学生在上学的路上要经过4个路口，假设在各路口是否遇到红灯是相互独立的，遇到红灯的概率都是13，那么该生在上学路上到第3个路口首次遇到红灯的概率为427B ．三人独立地破译一份密码，他们能单独译出的概率分别为15，13，14，假设他们破译密码是彼此独立的，则此密码被破译的概率为25C ．甲袋中有8个白球，4个红球，乙袋中有6个白球，6个红球，从每袋中各任取一个球，则取到同色球的概率为12D ．设两个独立事件A 和B 都不发生的概率为19，A 发生B 不发生的概率与B 发生A 不发生的概率相同，则事件A 发生的概率是29【答案】AC【分析】根据每个选项由题意进行计算，从而进行判断即可【详解】对于A,该生在第3个路口首次遇到红灯的情况为前2个路口不是红灯,第3个路口是红灯,所以概率为211413327⎛⎫-⨯= ⎪⎝⎭,故A正确；对于B,用A 、B 、C 分别表示甲、乙、丙三人能破译出密码,则1()5P A =,1()3P B =,1()4P C =,“三个人都不能破译出密码”发生的概率为42325345⨯⨯=,所以此密码被破译的概率为23155-=,故B 不正确；对于C,设“从甲袋中取到白球”为事件A,则82()123P A ==,设“从乙袋中取到白球”为事件B,则61()122P B ==,故取到同色球的概率为2111132322⨯+⨯=,故C 正确；对于D,易得()()P A B P BA =,即()()()()P A PB P B P A ⋅=,即()[1()]()[1()]P A P B P B P A -=-,∴()()P A P B =,又1()9P AB =,∴1()()3P A P B ==,∴2()3P A =,故D 错误故选AC【点睛】本题考查古典概型,考查事件的积,考查独立事件,熟练掌握概率的求解公式是解题关键 11．设()ln 26f x x x =+-，则下列区间中不存在零点的是（ ） A ．[1,2] B ．[2,3] C ．[3,4] D ．[4,5]【答案】ACD【分析】判断(2)f 、(3)f 的符号，根据零点存在定理即可判断函数零点所在区间. 【详解】(2)ln 220f =-<，(3)ln30f =>，(2)(3)0f f ∴<，函数()ln 26f x x x =+-的零点位于[2,3].故选：ACD12．已知函数()21xf x =-，实数a ，b 满足()()f a f b =()a b <，则（ ）A ．222a b +>B ．a ∃，b ∈R ，使得01a b <+<C ．222a b +=D ．0a b +<【答案】CD【分析】根据函数解析式，作函数的图象，根据图象的特征，可得选项A 、C 的正误，根据基本不等式，可得选项B 、D 的正误.【详解】画出函数()21xf x =-的图象，如图所示．由图知1221a b -=-，则222a b +=，故A 错，C 对．由基本不等式可得22222222a b a b a b +=+>⋅=，所以21a b +<，则0a b +<，故B 错，D 对．故选：CD ．三、填空题13．已知函数()2f x ax bx c =++，满足不等式()0f x <的解集为()(),2,t -∞-⋃+∞，且()1f x -为偶函数，则实数t =________. 【答案】0【分析】根据偶函数定义，可得20b a -=，然后根据二次不等式的解集得到二次函数的两个零点为2,t -，然后结合韦达定理，即可解出0=t【详解】根据解集易知：a<0 ，()1f x -为偶函数，可得：()()()()221112f x a x b x c ax b a x a b -=-+-+=+-+-则有：20b a -=易知20ax bx c ++=的两根为,2t -，则根据韦达定理可得：2bt a-=-解得：0=t 故答案为：0 14．若函数()221x x f x a -+=在()1,3上递减，则函数2log (2)a y x x =-增区间________.【答案】(),0∞- 【分析】函数()221xx f x a -+=在()1,3上递减，利用复合函数的单调性可得a 的取值范围，进而可判断函数2log (2)a y x x =-增区间．【详解】设t y a =，则221t x x =-+，在()1,3上递增， 函数()221xx f x a -+=在()1,3上递减，t y a ∴=在()1,3上递减，可得01a <<∴函数2log (2)a y x x =-增区间，即22u x x =-的单调递减区间令220x x ->，解得2x >或0x < ∴函数2log (2)a y x x =-增区间为,0故答案为：,0【点睛】本题考查复合函数的单调性，考查指对函数的性质，属于中档题．15．将一枚质地均匀的骰子先后抛掷两次，若第一次朝上一面的点数为a ，第二次朝上一面的点数为b ，则函数221y ax bx =-+在(],2∞-上为减函数的概率是_______.【答案】14【解析】由函数221y ax bx =-+在(],2∞-上为减函数，得到2a b ≤，再结合古典概型及其概率的计算方法，即可求解.【详解】由题意，将一枚质地均匀的骰子先后抛掷两次，可得{}1,2,3,4,5,6a ∈，{}1,2,3,4,5,6b ∈ 又由函数221y ax bx =-+在(],2∞-上为减函数，则2ba≥，即2a b ≤， 当a 取1时，b 可取2，3，4，5，6； 当a 取2时，b 可取4，5，6； 当a 取3时，b 可取6，共9种， 又因为(),a b 的取值共36种情况， 所以所求概率为91364=. 故答案为：14.【点睛】本题主要考查了古典概型及其概率的计算公式的应用，其中解答中认真审题，合理利用古典概型及其概率的计算公式求解是解答的关键，着重考查了分析问题和解答问题的能力，属于基础题.16．已知函数131()31x x f x ++=+在20211[]202-,上的最大值与最小值分别为M ，m ，则M m +=________.【答案】4【分析】构造()()2g x f x =-是奇函数，由奇函数的对称性求解． 【详解】设()()2g x f x =-，[2021,2021]x ∈-， 13131()()223131x x x x g x f x ++-=-=-=++，()()2g x f x -=--=131331322()311313x x xx x xg x -+-++--=-==-+++， 所以()g x 是奇函数，又max max ()()2g x f x M ==-，min min ()()22g x f x m =-=-， 所以max min ()()40g x g x M m +=+-=，4M m +=． 故答案为：4．四、解答题17．一元二次不等式23208kx kx +-<对一切实数x 都成立的k 的取值集合为A ，函数()()2lg 56f x x x =-++的定义域为B ．(1)求集合A ，B ；(2)记C A B =，{}5D x m x m =<<+，x C ∈是x D ∈的充分不必要条件，求m 的取值范围． 【答案】(1)(3,0]A =-，()1,6B =-； (2)(5,1]--.【分析】（1）讨论0k =和0k ≠两种情况，结合判别式法求出A ，由真数大于0求出B ； （2）根据题意C 是D 的真子集，进而求得答案.【详解】（1）对A ，若0k =，则308-<，满足题意；若0k ≠，则230Δ30k k k k <⎧⇒-<<⎨=+<⎩. 综上：30k -<≤，即(3,0]A =-.对B ，()225605601,6x x x x x -++>⇒--<⇒∈-，即()1,6B =-.（2）由（1），(1,0]C A B =-⋂=，因为x C ∈是x D ∈的充分不必要条件，所以C 是D 的真子集，于是15150m m m ≤-⎧⇒-<≤-⎨+>⎩，即(5,1]m ∈--. 18．函数()()22log 25f x x ax a =--在(],2-∞-上单调递减，()1425x x g x a a +=--．(1)求a 的取值范围； (2)当2,2x时，求()g x 的最小值．【答案】(1)[)24-，(2)答案见解析 .【分析】(1)二次函数与对数函数复合的单调性讨论；(2)二次函数与指数函数复合的最小值，由x 的取值范围得到指数函数的取值范围，再求二次函数的最小值.【详解】（1）设()225t x x ax a =-- ，则()()()222log 25log f x x ax a t x =--=⎡⎤⎣⎦由题意可得，()202t a ->⎧⎪⎨-≤⎪⎩，所以24a -≤<， 所以，a 的取值范围为[)24-，. （2）因为[]22x ∈-， ，所以22122244x -⎡⎤⎡⎤∈=⎣⎦⎢⎥⎣⎦，， . 又因为()()21242525x x x g x a a a a a +=--=--- ，若 1424xa a ⎡⎫∈=⎪⎢⎣⎭，，时，()g x 有最小值25a a --； 若112244x a ⎡⎫∈-=⎪⎢⎣⎭，，时，()g x 有最小值18816a -， 19．某中学有学生500人，学校为了解学生课外阅读时间，从中随机抽取了50名学生，收集了他们2018年10月课外阅读时间（单位：小时）的数据，并将数据进行整理，分为5组：[10，12），[12，14），[14，16），[16，18），[18，20]，得到如图所示的频率分布直方图．（Ⅰ）试估计该校所有学生中，2018年10月课外阅读时间不小于16小时的学生人数；（Ⅱ）已知这50名学生中恰有2名女生的课外阅读时间在[18，20]，现从课外阅读时间在[18，20]的样本对应的学生中随机抽取2人，求至少抽到1名女生的概率；（Ⅲ）假设同组中的每个数据用该组区间的中点值代替，试估计该校学生2018年10月课外阅读时间的平均数．【答案】（Ⅰ）150（Ⅱ）710（Ⅲ）14.68 【分析】（Ⅰ）由频率分布直方图求出课外阅读时间不小于16小时的样本的频率为0.30，由此能估计该校所有学生中，2018年10月课外阅读时间不小于16小时的学生人数；（Ⅱ）阅读时间在[18，20]的样本的频率为0.10．从而课外阅读时间在[18，20]的样本对应的学生人数为5．这5名学生中有2名女生，3名男生，设女生为A ，B ，男生为C ，D ，E ，从中抽取2人，利用列举法能求出至少抽到1名女生的概率；（Ⅲ）由频率分布直方图能估计该校学生2018年10月课外阅读时间的平均数．【详解】（Ⅰ）0.10×2+0.05×2=0.30，即课外阅读时间不小于16小时的样本的频率为0.30．因为500×0.30=150，所以估计该校所有学生中，2018年10月课外阅读时间不小于16小时的学生人数为150. （Ⅱ）阅读时间在[18，20]的样本的频率为0.05×2=0.10．因为50×0.10=5，即课外阅读时间在[18，20]的样本对应的学生人数为5．这5名学生中有2名女生，3名男生，设女生为A ，B ，男生为C ，D ，E ，从中抽取2人的所有可能结果是：（A ，B ），（A ，C ），（A ，D ），（A ，E ），（B ，C ），（B ，D ），（B ，E ），（C ，D ），（C ，E ），（D ，E ）．其中至少抽到1名女生的结果有7个，所以从课外阅读时间在[18，20]的样本对应的学生中随机抽取2人，至少抽到1名女生的概率为p =710（Ⅲ）根据题意，0.08×2×11+0.12×2×13+0.15×2×15+0.10×2×17+0.05×2×19=14.68（小时）． 由此估计该校学生2018年10月课外阅读时间的平均数为14.68小时．【点睛】本题考查频数、概率、平均数的求法，考查频率分布直方图、列举法等基础知识，考查运算求解能力，考查函数与方程思想，是基础题．20．已知函数()2log 1a x f x x -=+为奇函数． (1)求实数a 的值；(2)若()()22log 430m x f x x -+++≤恒成立，求实数m 的取值范围． 【答案】(1)1a =(2)[)2,+∞【分析】（1）利用奇函数定义求出实数a 的值；（2）先求解定义域，然后参变分离后求出()()22log 23g x x x =--+的取值范围，进而求出实数m 的取值范围.【详解】（1）由题意得：()()f x f x -=-，即22log log 11a x a x x x+-=--+，解得：1a =±， 当1a =-时，101a x x -=-<+，不合题意，舍去， 所以1a =,经检验符合题意；（2）由101x x->+，解得：11x -<<，由2430x x ++>得：1x >-或3x <-， 综上：不等式中()1,1x ∈-，()()22log 430m x f x x -+++≤变形为()()2log 13m x x ⎡⎤≥-+⎣⎦，即()()2log 13m x x ⎡⎤≥-+⎣⎦恒成立，令()()()2222log 23log 14g x x x x ⎡⎤=--+=-++⎣⎦，当()1,1x ∈-时，()(),2g x ∈-∞， 所以2m ≥，实数m 的取值范围为[)2,+∞.21．习近平总书记在十九大报告中指出，“要着力解决突出环境问题，持续实施大气污染防治行动”．为落实好这一精神，市环保局规定某工厂产生的废气必须过滤后才能排放．已知在过滤过程中，废气中的污染物含量P （单位：毫克/升）与过滤时间t （单位：小时）之间的函数关系式为：0()ktP t P e -=（e 为自然对数的底数，0P 为污染物的初始含量）．过滤1小时后检测，发现污染物的含量为原来的45． （1）求函数()P t 的关系式；（2）要使污染物的含量不超过初始值的11000，至少还需过滤几小时？（参考数据：lg 20.3≈） 【答案】（1）04()()5t P t P =（2）30【分析】（1）由题意代入点（1，45P 0），求得函数P （t ）的解析式； （2）根据函数P （t ）的解析式，列不等式求出t 的取值范围即可．【详解】解：（1）根据题设，得0045k P P e -=，45k e -∴= 所以，()045t P t P ⎛⎫= ⎪⎝⎭（2）由()004151000t P t P P ⎛⎫=≤ ⎪⎝⎭，得4151000t ⎛⎫≤ ⎪⎝⎭， 两边取以10为底的对数，并整理，得t （1﹣3lg2）≥3，∴t≥30因此，至少还需过滤30小时【点睛】本题考查了指数函数模型的应用问题，求指数型函数的解析式，指数型不等式的解法，是中档题．22．对于函数()f x ，若其定义域内存在实数x 满足()()f x f x -=-，则称()f x 为“伪奇函数”． （1）已知函数()21x f x x -=+，试问()f x 是否为“伪奇函数”？说明理由； （2）若幂函数()()()31n g x n xn -=-∈R 使得()()2g x f x m =+为定义在[]1,1-上的“伪奇函数”，试求实数m 的取值范围；（3）是否存在实数m ，使得()12423x x f x m m +=-⋅+-是定义在R 上的“伪奇函数”，若存在，试求实数m 的取值范围；若不存在，请说明理由．【答案】（1）不是；（2）5,14⎡⎤--⎢⎥⎣⎦；（3）1⎡⎣． 【分析】（1）先假设()f x 为“伪奇函数”，然后推出矛盾即可说明；（2）先根据幂函数确定出()g x 的解析式，然后将问题转化为“()222x x m -=-+在[]1,1-上有解”，根据指数函数的值域以及对勾函数的单调性求解出m 的取值范围；（3）将问题转化为“()()22644222x x x x m m ---=-+++在R 上有解”，通过换元法结合二次函数的零点分布求解出m 的取值范围.【详解】（1）假设()f x 为“伪奇函数”，∴存在x 满足()()f x f x -=-，2211x x x x ---∴=--++有解，化为220x +=，无解， f x 不是“伪奇函数”；（2）()()()31n g x n x n -=-∈R 为幂函数，2n ∴=，()g x x ∴=，()2x f x m ∴=+，()2x f x m =+为定义在[]1,1-的“伪奇函数”，∴22x x m m -+=--在[]1,1-上有解，∴()222x x m -=-+在[]1,1-上有解， 令12,22x t ⎡⎤=∈⎢⎥⎣⎦，∴12m t t ⎛⎫=-+ ⎪⎝⎭在1,22t ⎡⎤∈⎢⎥⎣⎦上有解， 又对勾函数1y t t =+在1,12⎡⎫⎪⎢⎣⎭上单调递减，在(]1,2上单调递增， 且12t =时，52y =，2t =时，52y =， min max 5112,2y y ∴=+==，1y t t ∴=+的值域为52,2⎡⎤⎢⎥⎣⎦， 52,22m ⎡⎤∴∈--⎢⎥⎣⎦，5,14m ⎡⎤∴∈--⎢⎥⎣⎦； （3）设存在m 满足，即()()f x f x -=-在R 上有解，()1212423423x x x x m m m m --++∴-⋅+-=--⋅+-在R 上有解，()()22644222x x x x m m --∴-=-+++在R 上有解，令[)222,x x t -+=∈+∞，取等号时0x =，()222622m t mt ∴-=--+在[)2,∞+上有解，222280t mt m ∴-+-=在[)2,∞+上有解（*）， ()2244280m m ∆=--≥，解得m ⎡∈-⎣，记()22228h t t mt m =-+-，且对称轴t m =，当m ⎡⎤∈-⎣⎦时，()h t 在[)2,∞+上递增，若（*）有解，则()22222280h mt m =-+-≤，12m ⎡⎤∴∈⎣⎦，当(m ∈时，()h t 在[)2,m 上递减，在(),m +∞上递增，若（*）有解，则()222222880h m m m m m =-+-=-≤，即280m -≤，此式恒成立，(2,m ∴∈，综上可知，1m ⎡∈⎣.【点睛】关键点点睛：解答本题（2）（3）问题的关键在于转化思想的运用，通过理解“伪奇函数”的定义，将问题转化为方程有解的问题，利用换元的思想简化运算并完成计算.。

2018-2019学年湖北省武汉二中高一（上）10月月考数学试卷试题数：22.满分：01.（单选题.5分）方程组{x+y=2x−y=0的解构成的集合是（）A.{1}B.（1.1）C.{（1.1）}D.{1.1}2.（单选题.5分）若全集U={0.1.2.3}且∁U A={2}.则集合A的真子集共有（）A.3个B.5个C.7个D.8个3.（单选题.5分）已知函数f（x）=x5+ax3+bx+8.且f（-2）=10.那么f（2）等于（）A.-18B.-10C.6D.104.（单选题.5分）在映射f：A→B中.A=B={（x.y）|x.y∈R}.且f：（x.y）→（x-y.x+y）.则与A 中的元素（-1.2）对应的B中的元素为（）A.（-3.1）B.（1.3）C.（-1.-3）D.（3.1）5.（单选题.5分）设集合A={x|x参加自由泳的运动员}.B={x|x参加蛙泳的运动员}.对于“既参加自由泳又参加蛙泳的运动员”用集合运算表示为（）A.A∩BB.A⊇BC.A∪BD.A⊆B6.（单选题.5分）已知集合A={-1.0.1}.B={x|x2-x-2=0}.那么A∩B=（）A.{0}B.{-1}C.{1}D.∅7.（单选题.5分）A={x|x=2k.k∈Z}.B={x|x=2k+1.k∈Z}.C={x|x=4k+1.k∈Z}.又a∈A.b∈B.则（）A.a+b∈AB.a+b∈BC.a+b∈CD.a+b∈A.B.C中的任一个8.（单选题.5分）下列各组函数是同一函数的是（）① f（x）= √−2x3与g（x）=x √−2x；② f（x）=|x|与g（x）= √x2；③ f（x）=x+1与g（x）=x+x0；④ f（x）=x2-2x-1与g（t）=t2-2t-1．A. ① ③B. ① ④C. ① ②D. ② ④9.（单选题.5分）下列表述中错误的是（）A.若A⊆B.则A∩B=AB.若A∪B=B.则A⊆BC.（A∩B）⫋A⫋（A∪B）D.∁U（A∩B）=（∁U A）∪（∁U B）10.（单选题.5分）设全集U={x|x≤8.x∈N+}.若A⊆U.B⊆U.B∩（∁U A）={2.6}.A∩{∁U B}={1.8}.（∁U A）∩（∁U B）={4.7}.则（）A.A={1.6}.B={2.8}B.A={1.3.5.6}.B={2.3.5.8}C.A={1.6}.B={2.3.5.8}D.A={1.3.5.8}.B={2.3.5.6}11.（单选题.5分）已知奇函数f（x）定义在（-1.1）上.且对任意x1.x2∈（-1.1）（x1≠x2）都有f(x2)−f(x1)x2−x1＜0成立.若f（2x-1）+f（3x-2）＞0成立.则x的取值范围为（）A.（0.1）B.（13，1）C.（13，35）D.（0. 35 ）12.（单选题.5分）若函数f （x ）是定义在R 上的偶函数.在（-∞.0]上是增函数.且f （3）=0.则使得f （x ）＞0的x 的取值范围是（ ）A.（-∞.-3）B.（3.+∞）C.（-3.3）D.（-∞.-3）∪（3.+∞）13.（填空题.5分）如果奇函数f （x ）在区间[3.7]上是减函数.值域为[-2.5].那么2f （3）+f （-7）=___ ．14.（填空题.5分）已知函数f （n ）= {n −3(n ≥10)f [f (n +5)](n ＜10).其中n∈N .则f （8）等于___ ． 15.（填空题.5分）设A={1.2.3.4.5.6.7}.B={1.2.6.8}.定义A 与B 的差集为A-B={x|x∈A .且x∉B}.则A-（A-B ）=___16.（填空题.5分）已知函数f （x ）= {1x ，x ≥10kx +1，x ＜10 .若f （x ）在R 上是减函数.则实数k 的取值范围为___ ．17.（问答题.0分）已知集合A={x|-1＜x ＜3}.B={x|x-m ＞0}．（Ⅰ）若A∩B=∅.求实数m 的取值范围；（Ⅱ）若A∩B=A .求实数m 的取值范围．18.（问答题.0分）已知集合A={x|0＜ax+1≤5}.函数f （x ）= √2−x √2x+1B ．（Ⅰ）求集合B ．（Ⅱ）当a=-1时.若全集U={x|x≤4}.求∁U A 及A∩（∁U B ）；（Ⅲ）若A⊆B .求实数a 的取值范围．19.（问答题.0分）已知函数f （x ）= { 1+1x ，x ＞1x 2+1，−1≤x ≤12x +3，x ＜−1． （Ⅰ）求f （1+ √2−1 .f （f （f （-4）））的值； （Ⅱ）求f （8x-1）；（Ⅲ）若f （4a ）= 32 .求a ．20.（问答题.0分）已知函数f （x ）= x−b x+a .且f （2）= 14 .f （3）= 25 ．（Ⅰ）求f （x ）的函数解析式；（Ⅱ）求证：f （x ）在[3.5]上为增函数；（Ⅲ）求函数f （x ）的值域．21.（问答题.0分）已知函数f （x ）为定义在R 上的奇函数.且当x ＞0时.f （x ）=-x 2+4x （Ⅰ）求函数f （x ）的解析式；（Ⅱ）求函数f （x ）在区间[-2.a]（a ＞-2）上的最小值．22.（问答题.0分）函数f （x ）的定义域为R.且对任意x.y∈R .有f （x+y ）=f （x ）+f （y ）.且当x ＞0时.f （x ）＜0.（Ⅰ）证明f （x ）是奇函数；（Ⅱ）证明f （x ）在R 上是减函数；（Ⅲ）若f （3）=-1.f （3x+2）+f （x-15）-5＜0.求x 的取值范围．2018-2019学年湖北省武汉二中高一（上）10月月考数学试卷参考答案与试题解析试题数：22.满分：01.（单选题.5分）方程组 {x +y =2x −y =0的解构成的集合是（ ） A.{1}B.（1.1）C.{（1.1）}D.{1.1}【正确答案】：C【解析】：通过解二元一次方程组求出解.利用集合的表示法：列举法表示出集合即可．【解答】：解： {x +y =2x −y =0解得 {x =1y =1 所以方程组 {x +y =2x −y =0的解构成的集合是{（1.1）} 故选：C ．【点评】：本题主要考查了集合的表示法：注意集合的元素是点时.一定要以数对形式写.属于基础题．2.（单选题.5分）若全集U={0.1.2.3}且∁U A={2}.则集合A 的真子集共有（ ）A.3个B.5个C.7个D.8个【正确答案】：C【解析】：利用集合中含n 个元素.其真子集的个数为2n -1个.求出集合的真子集的个数．【解答】：解：∵U={0.1.2.3}且C U A={2}.∴A={0.1.3}∴集合A 的真子集共有23-1=7【点评】：求一个集合的子集、真子集的个数可以利用公式：若一个集合含n个元素.其子集的个数为2n.真子集的个数为2n-1．3.（单选题.5分）已知函数f（x）=x5+ax3+bx+8.且f（-2）=10.那么f（2）等于（）A.-18B.-10C.6D.10【正确答案】：C【解析】：由函数的解析式是一个非奇非偶函数.且偶函数部分是一个常数.故可直接建立关于f （-2）与f（2）的方程.解出f（2）的值【解答】：解：由题.函数f（x）=x5+ax3+bx+8.且f（-2）=10.则f（-2）+f（2）=8+8=16解得f（2）=6故选：C．【点评】：本题考查函数奇偶性的性质.根据函数解析式的特征建立关于f（-2）与f（2）的方程.对解答本题最为快捷.本方法充分利用了函数奇偶性的性质.达到了解答最简化的目的.题后应注意总结本方法的使用原理4.（单选题.5分）在映射f：A→B中.A=B={（x.y）|x.y∈R}.且f：（x.y）→（x-y.x+y）.则与A 中的元素（-1.2）对应的B中的元素为（）A.（-3.1）B.（1.3）C.（-1.-3）D.（3.1）【正确答案】：A【解析】：根据已知中映射f：A→B的对应法则.f：（x.y）→（x-y.x+y）.将A中元素（-1.2）代入对应法则.即可得到答案．【解答】：解：由映射的对应法则f：（x.y）→（x-y.x+y）.故A中元素（-1.2）在B中对应的元素为（-1-2.-1+2）故选：A．【点评】：本题考查的知识点是映射的概念.属基础题型.熟练掌握映射的定义.是解答本题的关键．5.（单选题.5分）设集合A={x|x参加自由泳的运动员}.B={x|x参加蛙泳的运动员}.对于“既参加自由泳又参加蛙泳的运动员”用集合运算表示为（）A.A∩BB.A⊇BC.A∪BD.A⊆B【正确答案】：A【解析】：根据集合交集的定义.结合已知中集合A={x|x参加自由泳的运动员}.B={x|x参加蛙泳的运动员}.可得“既参加自由泳又参加蛙泳的运动员”用集合运算表示为A.B的交集．【解答】：解：∵集合A={x|x参加自由泳的运动员}.B={x|x参加蛙泳的运动员}.∴“既参加自由泳又参加蛙泳的运动员”用集合运算表示为A∩B.故选：A．【点评】：本题考查的知识点是集合的表示法.集合交集的定义.正确理解集合交集的概念是解答的关键．6.（单选题.5分）已知集合A={-1.0.1}.B={x|x2-x-2=0}.那么A∩B=（）A.{0}B.{-1}C.{1}D.∅【正确答案】：B【解析】：可以求出集合B.然后进行交集的运算即可．【解答】：解：∵A={-1.0.1}.B={-1.2}∴A∩B={-1}．故选：B．【点评】：考查列举法、描述法的定义.一元二次方程的解法.以及交集的运算．7.（单选题.5分）A={x|x=2k.k∈Z}.B={x|x=2k+1.k∈Z}.C={x|x=4k+1.k∈Z}.又a∈A.b∈B.则（）A.a+b∈AB.a+b∈BC.a+b∈CD.a+b∈A.B.C中的任一个【正确答案】：B【解析】：利用集合元素和集合之间的关系.表示出a.b.然后进行判断即可．【解答】：解：∵a∈A.b∈B.∴设a=2k1.k1∈Z.b=2k2+1.k2∈Z.则a+b=2k1+2k2+1=2（k1+k2）+1∈B．故选：B．【点评】：本题主要考查集合元素和集合之间的关系的判断.比较基础．8.（单选题.5分）下列各组函数是同一函数的是（）① f（x）= √−2x3与g（x）=x √−2x；② f（x）=|x|与g（x）= √x2；③ f（x）=x+1与g（x）=x+x0；④ f（x）=x2-2x-1与g（t）=t2-2t-1．A. ① ③B. ① ④C. ① ②D. ② ④【正确答案】：D【解析】：根据两个函数的定义域相同.对应关系也相同.即可判断它们是同一函数．【解答】：解：对于① .f（x）= √−2x3 =-x √−2x（x≤0）.与g（x）=x √−2x（x≤0）的对应关系不同.不是同一函数；对于② .f（x）=|x|的定义域为R.g（x）= √x2 =|x|的定义域为R.两函数的定义域相同.对应关系也相同.是同一函数；对于③ .f（x）=x+1的定义域是R.g（x）=x+x0=x+1的定义域是{x|x≠0}.定义域不同.不是同一函数；对于④ .f（x）=x2-2x-1的定义域为R.g（t）=t2-2t-1的定义域是R.两函数的定义域相同.对应关系也相同.是同一函数；综上知.是同一函数的为② ④ ．故选：D．【点评】：本题考查了判断两个函数是否为同一函数的应用问题.是基础题．9.（单选题.5分）下列表述中错误的是（）A.若A⊆B.则A∩B=AB.若A∪B=B.则A⊆BC.（A∩B）⫋A⫋（A∪B）D.∁U（A∩B）=（∁U A）∪（∁U B）【正确答案】：C【解析】：根据题意.做出图示.由图二知.A与B两个选项正确.由图一可得选项D正确.当A=B 时.A∩B=A∪B=A=B.所以.C选项是错误的．【解答】：解：根据题意.作图可得：（一）（二）通过画示意图可得 A、B、D、是正确的.C 是错误的.因为当A=B时.A∩B=A∪B=A=B.故只有C 是错误的.案选 C故选：C．【点评】：本题考查几何间包含关系的判断及应用.可以采用举反例、排除、画示意图等手段.找出错误的选项．10.（单选题.5分）设全集U={x|x≤8.x∈N+}.若A⊆U.B⊆U.B∩（∁U A）={2.6}.A∩{∁U B}={1.8}.（∁U A）∩（∁U B）={4.7}.则（）A.A={1.6}.B={2.8}B.A={1.3.5.6}.B={2.3.5.8}C.A={1.6}.B={2.3.5.8}D.A={1.3.5.8}.B={2.3.5.6}【正确答案】：D【解析】：作出维恩图.结合图形能求出集合A 和集合B ．【解答】：解：∵全集U={x|x≤8.x∈N +}={1.2.3.4.5.6.7.8}.A⊆U .B⊆U .B∩（∁U A ）={2.6}.A∩{∁U B}={1.8}.（∁U A ）∩（∁U B ）={4.7}.∴作出维恩图如下：结合图形得：A={1.3.5.8}.B={2.3.5.6}．故选：D ．【点评】：本题考查集合的的求法.考查补集、交集定义、维恩图性质等基础知识.考查运算求解能力.是基础题．11.（单选题.5分）已知奇函数f （x ）定义在（-1.1）上.且对任意x 1.x 2∈（-1.1）（x 1≠x 2）都有 f (x 2)−f (x 1)x 2−x 1 ＜0成立.若f （2x-1）+f （3x-2）＞0成立.则x 的取值范围为（ ）A.（0.1）B.（ 13，1 ）C.（ 13，35 ）D.（0. 35 ）【正确答案】：C【解析】：根据题意.分析可得f （x ）在（-1.1）上为减函数.结合函数的奇偶性可得原不等式等价于 {−1＜2x −1＜1−1＜2−3x ＜12x −1＜2−3x.解可得项的取值范围.即可得答案．【解答】：解：根据题意.f （x ）满足对任意x 1.x 2∈（-1.1）（x 1≠x 2）都有 f (x 2)−f (x 1)x 2−x 1＜0成立.则f （x ）在（-1.1）上为减函数.又由函数f （x ）定义在（-1.1）上的奇函数.则f （2x-1）+f （3x-2）＞0⇒f （2x-1）＞-f （3x-2）⇒f （2x-1）＞f （2-3x ）⇒ {−1＜2x −1＜1−1＜2−3x ＜12x −1＜2−3x. 解可得： 13 ＜x ＜ 35 .即不等式的解集为（ 13 . 35 ）. 故选：C ．【点评】：本题考查函数的奇偶性与单调性的综合应用.涉及不等式的解法.属于基础题． 12.（单选题.5分）若函数f （x ）是定义在R 上的偶函数.在（-∞.0]上是增函数.且f （3）=0.则使得f （x ）＞0的x 的取值范围是（ ） A.（-∞.-3） B.（3.+∞） C.（-3.3）D.（-∞.-3）∪（3.+∞） 【正确答案】：C【解析】：由偶函数f （x ）在[0.+∞）上单调递减.且f （3）=0.f （x ）＞0可化为|x|＜3.从而求解．【解答】：解：∵偶函数f （x ）在（-∞.0]上是增函数. ∴在[0.+∞）上单调递减. ∵f （3）=0.∴f （x ）＞0可化为f （x ）＞f （3）. ∴|x|＜3. ∴-3＜x ＜3. 故选：C ．【点评】：本题考查了函数的性质应用.属于基础题．13.（填空题.5分）如果奇函数f （x ）在区间[3.7]上是减函数.值域为[-2.5].那么2f （3）+f （-7）=___ ．【正确答案】：[1]12【解析】：根据函数奇偶性和值域之间的关系进行转化求解即可．【解答】：解：由f （x ）在区间[3.7]上是递减函数.且最大值为5.最小值为-2. 得f （3）=5.f （7）=-2.∵f （x ）是奇函数.∴f （-7）=2.∴2f （3）+f （-7）=12． 故答案为：12．【点评】：本题主要考查函数值的计算.利用好函数奇偶性和单调性的关系是解决本题的关键． 14.（填空题.5分）已知函数f （n ）= {n −3(n ≥10)f [f (n +5)](n ＜10) .其中n∈N .则f （8）等于___ ．【正确答案】：[1]7【解析】：根据解析式先求出f （8）=f[f （13）].依次再求出f （13）和f[f （13）].即得到所求的函数值．【解答】：解：∵函数f （n ）= {n −3 (n ≥10)f [f (n +5)] (n ＜10) .∴f （8）=f[f （13）]. 则f （13）=13-3=10. ∴f （8）=f[f （13）]=10-3=7. 故答案为：7．【点评】：本题是分段函数求值问题.对应多层求值按“由里到外”的顺序逐层求值.一定要注意自变量的值所在的范围.然后代入相应的解析式求解．15.（填空题.5分）设A={1.2.3.4.5.6.7}.B={1.2.6.8}.定义A 与B 的差集为A-B={x|x∈A .且x∉B}.则A-（A-B ）=___ 【正确答案】：[1]{1.2.6}【解析】：根据差集的定义进行运算即可．【解答】：解：∵A={1.2.3.4.5.6.7}.B={1.2.6.8}. 根据差集的定义得.A-B={3.4.5.7}.A-（A-B ）={1.2.6}． 故答案为：{1.2.6}．【点评】：考查列举法的定义.以及差集的定义及运算．16.（填空题.5分）已知函数f （x ）= {1x ，x ≥10kx +1，x ＜10.若f （x ）在R 上是减函数.则实数k 的取值范围为___ ．【正确答案】：[1][- 9100 .0） 【解析】：若函数f （x ）= {1x ，x ≥10kx +1，x ＜10.在R 上是减函数.列出不等式组.解得实数k 的取值范围．【解答】：解：若函数f （x ）= {1x ，x ≥10kx +1，x ＜10.在R 上是减函数. 则 {k ＜010k +1≥110 .解得：k∈[- 9100 .0）． 故答案为：[- 9100 .0）．【点评】：本题考查的知识点是分段函数的应用.正确理解分段函数的单调性是含义是解答的关键.是中档题．17.（问答题.0分）已知集合A={x|-1＜x ＜3}.B={x|x-m ＞0}． （Ⅰ）若A∩B=∅.求实数m 的取值范围； （Ⅱ）若A∩B=A .求实数m 的取值范围．【正确答案】：【解析】：（Ⅰ）可以求出B={x|x ＞m}.根据A∩B=∅即可得出m≥3； （Ⅱ）根据A∩B=A 可得出A⊆B .从而得出m≤-1．【解答】：解：（Ⅰ）∵A={x|-1＜x ＜3}.B={x|x ＞m}.且A∩B=∅. ∴m≥3.∴m 的取值范围为[3.+∞）； （Ⅱ）∵A∩B=A∴A⊆B ∴m≤-1.∴实数m 的取值范围为（-∞.-1]．【点评】：考查描述法、区间的定义.交集的定义及运算.空集、子集的定义． 18.（问答题.0分）已知集合A={x|0＜ax+1≤5}.函数f （x ）= √2−x √2x+1B ．（Ⅰ）求集合B ．（Ⅱ）当a=-1时.若全集U={x|x≤4}.求∁U A 及A∩（∁U B ）； （Ⅲ）若A⊆B .求实数a 的取值范围．【正确答案】：【解析】：（Ⅰ）解 {2−x ≥02x +1＞0 即可得出f （x ）的定义域B= (−12，2] ；（Ⅱ）a=-1时.得出集合A.然后进行交集、补集的运算即可；（Ⅲ）根据A⊆B 即可讨论a ：a=0时.不满足题意；a ＞0时.求出 A ={x|−1a＜x ≤4a} .从而得出 {−1a ≥−124a ≤2 ；a ＜0时.求出 A ={x|4a ≤x ＜−1a } .则得出 {4a＞−12−1a ≤2 .解出a 的范围即可．【解答】：解：（Ⅰ）解 {2−x ≥02x +1＞0 .得. −12＜x ≤2 .∴ B =(−12，2] ；（Ⅱ）a=-1时.A={x|-4≤x ＜1}.且U={x|x≤4}.∴∁U A={x|x ＜-4.或1≤x≤4}. ∁U B ={x|x ≤−12或2＜x ≤4} . A ∩(∁U B )={x|−4≤x ≤−12} ； （Ⅲ）∵A⊆B∴ ① a=0时.A=R.不满足题意；② a ＞0时. A ={x|−1a ＜x ≤4a } .则 {−1a ≥−124a≤2 .解得a≥2；③ a ＜0时. A ={x|4a≤x ＜−1a} .则 {4a ＞−12−1a ≤2.解得a ＜-8；综上得.实数a 的取值范围为{a|a ＜-8.或a≥2}．【点评】：考查函数定义域的定义及求法.描述法的定义.子集的定义.以及分类讨论的思想． 19.（问答题.0分）已知函数f （x ）= {1+1x ，x ＞1x 2+1，−1≤x ≤12x +3，x ＜−1 ．（Ⅰ）求f （1+√2−1.f （f （f （-4）））的值； （Ⅱ）求f （8x-1）； （Ⅲ）若f （4a ）= 32.求a ．【正确答案】：【解析】：（Ⅰ）f （1+√2−1=f （1+ √2+1(√2−1)(√2+1) ）=f （2+ √2 ）.f （-4）=-8+3=-5.则f （-5）=-10+3=-7.f （-7）=-14+3=-11.进而求解；（Ⅱ）分类讨论8x-1的取值范围.进而代入分段函数区间求解； （Ⅲ）分类讨论4a 的取值范围.进而代入分段函数区间求解；【解答】：解：（Ⅰ）由题意得.f （1+ √2−1）=f （1+ √2+1(√2−1)(√2+1) =f （2+ √2 ）=1+ 2+√2 =1+√2(2+√2)(2−√2)=1+ 2−√22 =2- √22 . 又f （-4）=-8+3=-5.则f （-5）=-10+3=-7.f （-7）=-14+3=-11. ∴f （f （f （-4）））=f （f （-5））=f （-7）=-11； （Ⅱ）当8x-1＞1.即x ＞ 14 时.f （8x-1）=1+ 18x−1 .当-1≤8x -1≤1时.即0≤x≤ 14 时.f （8x-1）=（8x-1）2+1=64x 2-16x+2； 当8x-1＜-1时.即x ＜0.f （8x-1）=2（8x-1）+3=16x+1；综上可得.f （8x-1）= {1+18x−1，x ＞1464x 2−16x +2，0≤x ≤1416x +1，x ＜0（Ⅲ）因为f （4a ）= 32.所以分以下三种情况：当4a ＞1.即a ＞14 时.f （4a ）=1+ 14a = 32 .解得a= 12 .成立；当-1≤4a≤1时.即- 14≤a≤ 14时.f （4a ）=16a 2+1= 32.解得a=± √28.成立； 当4a ＜-1时.即a ＜- 14 时.f （4a ）=8a+3= 32 .解得a=- 316 .不成立； 综上可得a 的值是 12或 ±√28 ．【点评】：考查分段函数的应用.分类讨论的思想.属于中档题； 20.（问答题.0分）已知函数f （x ）= x−bx+a.且f （2）= 14.f （3）= 25．（Ⅰ）求f （x ）的函数解析式； （Ⅱ）求证：f （x ）在[3.5]上为增函数； （Ⅲ）求函数f （x ）的值域．【正确答案】：【解析】：（Ⅰ）根据条件可得出 {2−b2+a =143−b3+a=25.解出a=2.b=1.从而得出 f (x )=x−1x+2 ；（Ⅱ）根据增函数的定义.设任意的x 1.x 2∈[3.5].且x 1＜x 2.然后作差.通分.提取公因式得出 f (x 1)−f (x 2)=3(x 1−x 2)(x1+2)(x 2+2).然后说明f （x 1）＜f （x 2）即可；（Ⅲ）分离常数得出 f (x )=1−3x+2.可看出f （x ）≠1.从而得出f （x ）的值域．【解答】：解：（Ⅰ）根据 f (2)=14，f (3)=25得. {2−b2+a =143−b 3+a=25.解得a=2.b=1∴ f (x )=x−1x+2 ；（Ⅱ）证明： f (x )=1−3x+2 .设x 1.x 2∈[3.5].且x 1＜x 2.则：f (x 1)−f (x 2)=3x2+2−3x 1+2=3(x 1−x 2)(x2+2)(x 1+2).∵x 1.x 2∈[3.5].x 1＜x 2. ∴x 1+2＞0.x 2+2＞0.x 1-x 2＜0. ∴f （x 1）＜f （x 2）.∴f （x ）在[3.5]上为增函数； （Ⅲ）∵ f (x )=1−3x+2 . ∵ −3x+2≠0 . ∴f （x ）≠1.∴f （x ）的值域为{f （x ）|f （x ）≠1}．【点评】：考查已知函数求值的方法.待定系数法求函数解析式的方法.分离常数法的运用.以及反比例函数的值域.增函数的定义及利用增函数的定义证明一个函数是增函数的方法． 21.（问答题.0分）已知函数f （x ）为定义在R 上的奇函数.且当x ＞0时.f （x ）=-x 2+4x （Ⅰ）求函数f （x ）的解析式；（Ⅱ）求函数f （x ）在区间[-2.a]（a ＞-2）上的最小值．【正确答案】：【解析】：（1）先求f （0）=0.再设x ＜0.由奇函数的性质f （x ）=-f （-x ）.利用x ＞0时的表达式求出x ＜0时函数的表达式．（2）函数在（-2.2）单调性递增.在（2.+∞）单调递减.讨论a≤2和a ＞2的情况．【解答】：解：（1）∵函数f （x ）是定义在R 上的奇函数. ∴f （0）=0.且f （-x ）=-f （x ）. ∴f （x ）=-f （-x ）. 设x ＜0.则-x ＞0. ∴f （-x ）=-x 2-4x.∴f （x ）=-f （-x ）=-（-x 2-4x ）=x 2+4x. ∴f （x ）= {x 2+4x ，x ≤0−x 2+4x ，x ＞0（2）根据题意得.当a≤2时.最小值为f（-2）=-4；当a＞2时.f（x）=f（-2）=-4.x=2+2 √2 . ∴2＜a ≤2+2√2 .最小值为f（-2）=-4；当a ＞2+2√2 .最小值为f（a）．综上：-2＜a ≤2+2√2最小值为-4；当a ＞2+2√2 .时.最小值为f（a）．【点评】：本题主要考查奇函数的性质求解函数的解析式.关键是利用原点两侧的函数表达式之间的关系解题．22.（问答题.0分）函数f（x）的定义域为R.且对任意x.y∈R.有f（x+y）=f（x）+f（y）.且当x＞0时.f（x）＜0.（Ⅰ）证明f（x）是奇函数；（Ⅱ）证明f（x）在R上是减函数；（Ⅲ）若f（3）=-1.f（3x+2）+f（x-15）-5＜0.求x的取值范围．【正确答案】：【解析】：（1）在f（x+y）=f（x）+f（y）中.令x=y=0.则可得f（0）=0；再令y=-x.可得f（x-x）=f（x）+f（-x）.即f（x）+f（-x）=f（0）=0.即可证明f（x）是奇函数.（2）设x1＞x2.由已知可得f（x1-x2）＜0.再利用f（x+y）=f（x）+f（y）分析可得f（x1）=f （x1-x2+x2）=f（x1-x2）+f（x2）＜f（x2）.结合函数单调性的定义分析可得答案；（3）根据题意.利用特殊值法分析可得f（15）=-5.据此分析可得f（3x+2）+f（x-15）-5＜0⇒f（3x+2）+f（x-15）＜5⇒f（3x+2+x-15）＜f（15）⇒f（4x-13）＜f（15）.结合函数的单调性可得4x-13＞15.解可得x的取值范围.即可得答案．【解答】：解：（Ⅰ）证明：对于f（x+y）=f（x）+f（y）.令x=y=0.则有f（0）=f（0）+f（0）.即f（0）=0.令y=-x.可得f（x-x）=f（x）+f（-x）.即f（x）+f（-x）=f（0）=0.则有f（-x）=-f（x）.故函数y=f（x）是奇函数.（2）证明：设x1＞x2.则x1-x2＞0.则f（x1-x2）＜0.而f（x+y）=f（x）+f（y）.则f（x1）=f（x1-x2+x2）=f（x1-x2）+f（x2）＜f（x2）.故函数y=f（x）是R上的减函数；（3）根据题意.在f（x+y）=f（x）+f（y）且f（3）=-1.令x=y=3可得.f（6）=f（3）+f（3）=-2.令x=y=6可得：f（12）=f（6）+f（6）=-4.令x=3.y=12可得：f（15）=f（3）+f（12）=-5.则f（3x+2）+f（x-15）-5＜0⇒f（3x+2）+f（x-15）＜5⇒f（3x+2+x-15）＜-f（15）⇒f （4x-13）＜f（-15）.又由f（x）为R上的减函数.则有4x-13＞-15.解可得x＞- 12 .即x的取值范围为（- 12.+∞）．【点评】：本题考查抽象函数的应用.涉及函数的奇偶性、单调性的判断以及应用.属于基础题．。

哈六中2019级高三上学期1月月考语文试卷《哈六中2019级高三上学期1月月考语文试卷》一、现代文阅读（36分）（一）论述类文本阅读（本题共3小题，9分）阅读下面的文字，完成1 - 3题。

文化自信是更基础、更广泛、更深厚的自信，是更基本、更深沉、更持久的力量。

文化自信不仅来自于文化的积淀、传承与创新、发展，更来自于当今中国特色社会主义的蓬勃生机，来自于实现中国梦的光明前景。

改革开放40多年来，我们创造了举世瞩目的中国奇迹。

国家兴旺，文化必然兴盛，特别是党的十八大以来，我们党把文化建设提升到一个新的历史高度，中国特色社会主义文化发展道路越走越宽广，文化自信日益增强。

1. 下列关于原文内容的理解和分析，正确的一项是（3分）A. 文化自信来源于文化的积淀、传承与创新、发展，与中国特色社会主义的蓬勃生机和中国梦的光明前景无关。

B. 改革开放40多年来，中国奇迹的创造必然带来文化兴盛，文化自信也随之增强。

C. 党的十八大以来，文化建设被提升到新的历史高度，中国特色社会主义文化发展道路越来越宽广，文化自信日益增强。

D. 文化自信是基础、广泛、深厚、基本、深沉、持久的力量，是实现中国梦的最重要因素。

（二）实用类文本阅读（本题共3小题，12分）阅读下面的文字，完成4 - 6题。

材料一：近年来，随着移动互联网的迅猛发展，各类手机应用程序（APP）层出不穷。

这些APP在给人们带来便利的同时，也存在过度收集用户信息等问题。

比如，有的APP在用户下载时，要求获取多项不必要的权限，如通讯录、短信、定位等；有的则在用户使用过程中，悄悄收集用户的浏览记录、消费习惯等信息。

材料二：针对APP过度收集用户信息的问题，相关部门已经采取了一系列措施。

例如，出台相关法规，明确规定APP收集用户信息的范围和方式；加强监管力度，对违规APP进行处罚等。

同时，也有一些技术手段可以用来保护用户信息，如加密技术等。

4. 下列对材料相关内容的理解，不正确的一项是（4分）A. 移动互联网发展迅速，手机APP众多，它们在带来便利的同时，也存在问题。

高一月考数学试题一、选择题(本大题共12小题，每小题5分，共60分．每小题中只有一项符合题目要求)1．如图给出的是计算12＋14＋16＋…＋12 014的值的程序框图，其中判断框内应填入的是( )A ．i ≤2 012？B ．i >2 012?C ．i ≤2 014?D ．i >2 014?2．某网站对“双十二”网上购物的情况做了一项调查，收回的有效问卷共50 000份，其中购买下列四种商品的人数统计如下表：已知在购买“家用电器”这一类中抽取了92份问卷，则在购买“服饰鞋帽”这一类中应抽取的问卷份数为( )A ．198B ．116C ．99D ．943．如果执行如图的程序框图，那么输出的值是( ) A ．2 010 B ．－1 C.12 D ．24．一个k 进制的三位数与某六进制的二位数等值，则k 不可能是( ) A ．3 B ．4 C ．5 D ．75. 以下茎叶图记录了甲、乙两组各五名学生在一次英语听力测试中的成绩(单位：分)．已知甲组数据的中位数为15，乙组数据的平均数为16.8，则x ，y 的值分别为( )A ．2,5B ．5,5C ．5,8D ．8,86．下表提供了某厂节能降耗技术改造后在生产A 产品过程中记录的产量x (吨)与相应的生产能耗y (吨)的几组对应数据：根据上表提供的数据，求出y 关于x 的线性回归方程为y ＝0.7x ＋0.35，那么表中t 的值为( )A ．3B ．3.15C ．3.5D ．4.5 7．已知流程图如下图所示，该程序运行后，为使输出的b 值为16，则循环体的判断框内①处应填( )A ．2B ．3C ．5D ．78．学校为了调查学生在课外读物方面的支出情况，抽取了一个容量为n的样本，其频率分布直方图如图所示，其中支出在[50,60)的同学有30人，则n 的值为( )A ．100B ．1 000C ．90D ．9009．某班有48名学生，在一次考试中统计出平均分数为70，方差为75，后来发现有2名同学的成绩有误，甲实得80分却记为50分，乙实得70分却记为100分，更正后平均分和方差分别是( )A ．70,25B ．70,50C ．70,1.04D ．65,2510．节日前夕，小李在家门前的树上挂了两串彩灯，这两串彩灯的第一次闪亮相互独立，且都在通电后的4秒内任一时刻等可能发生，然后每串彩灯以4秒为间隔闪亮．那么这两串彩灯同时通电后，它们第一次闪亮的时刻相差不超过2秒的概率是( )A.14B.12C.34D.7811．在某次测量中得到的A 样本数据如下：82,84,84,86,86,86,88,88,88,88.若B 样本数据恰好是A 样本数据每个都加2后所得数据，则A ，B 两样本的下列数字特征对应相同的是( )A ．众数B ．平均数C ．中位数D ．标准差12．自平面上一点O 引两条射线OA ，OB ，点P 在OA 上运动，点Q 在OB 上运动且保持PQ 为定值a (点P ，Q 不与点O 重合)，已知∠AOB ＝π3，a ＝7，则3PQ PO QP QO POQO⋅⋅+的取值范围为( )A ．(12，7]B ．(72，7]C ．(－12，7]D ．(－72，7]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．已知某运动员每次投篮命中的概率都为40%.现采用随机模拟的方法估计该运动员三次投篮恰有两次命中的概率：先由计算器算出0到9之间取整数值的随机数，指定1,2,3,4表示命中，5,6,7,8,9,0表示不命中；再以每三个随机数为一组，代表三次投篮的结果．经随机模拟产生了20组随机数：907 966 191 925 271 932 812 458 569 683 431 257 393 027 556 488 730 113 537 989据此估计，该运动员三次投篮恰有两次命中的概率为________．14．在2019年3月15日，某市物价部门对本市的5家商场的某商品的一天销售量及其价格进行调查，5家商场的售价x 元和销售量y 件之间的一组数据如下表所示：由散点图可知，销售量y 与价格x 之间有较好的线性相关关系，其线性回归直线方程是：y ∧＝－3.2 x ＋a ∧(参考公式：回归方程 y ∧＝b ∧x ＋a ∧ ， a ∧＝y －b x )，则a ＝________.15．已知直线y ＝a 交抛物线y ＝x 2于A ，B 两点，若该抛物线上存在点C ，使得∠ACB 为直角，则a 的取值范围为________．11sin cos ,1631()()=33().y a x b x c y f x f x f x ππ⎛⎫=++ ⎪⎝⎭= 16.已知图像上有一最低点，若图像上各点纵坐标不变，横坐标缩为原来的倍，再左移个单位得，又的所有根从小到大依次相差个单位，则的解析式为__________ 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．(本小题满分10分)假设甲乙两种品牌的同类产品在某地区市场上销售量相等，为了解他们的使用寿命，现从这两种品牌的产品中分别随机抽取100个进行测试，结果统计如下：(1)估计甲品牌产品寿命小于200小时的概率；(2)这两种品牌产品中，某个产品已使用了200小时，试估计该产品是甲品牌的概率．18．(本小题满分12分)高三年级有500名学生，为了了解数学学科的学习情况，现从中随机抽出若干名学生在一次测试中的数学成绩，制成如下频率分布表：(1)根据上面图表，①②③④处的数值分别为________、________、________、________；(2)在所给的坐标系中画出[85,155]的频率分布直方图；(3)根据题中信息估计总体平均数，并估计总体落在[129,155]中的频率．19．(本小题满分12分)下表提供了某厂节能降耗技术改造后生产甲产品过程中记录的产量x(吨)与相应的生产能耗y(吨)标准煤的几组对照数据．(1)请画出上表数据的散点图；(2)请根据上表提供的数据，用最小二乘法求出回归方程y ∧＝b ∧x ＋a ∧；(3)已知该厂技改前100吨甲产品的生产能耗为90吨标准煤．试根据(2)求出的线性回归方程，预测生产100吨甲产品的生产能耗比技改前降低多少吨标准煤？(注：b ∧＝∑ni ＝1x i y i －n x －y －∑n i ＝1x i 2－n x －2，a ∧=y －-b ∧x －)20．(本小题满分12分)已知关于x 的一元二次方程x 2＋2ax ＋b ＝0.(1)若a ∈{0，1，2，3}，b ∈{0，1，2}，求方程x 2＋2ax ＋b ＝0有实根的概率； (2)若a ∈[0，3]，b ∈[0，2]，求方程x 2＋2ax ＋b ＝0有实根的概率．21. (本小题满分12分)已知f (x )＝1＋cos x －sin x 1－sin x －cos x ＋1－cos x －sin x 1－sin x ＋cos x 且x ≠2k π＋π2,k ∈Z,且x ≠k π＋π，k ∈Z .①化简f (x )；②是否存在x ，使得tan x2·f (x )与1＋tan 2x2sin x 相等？若存在，求x 的值；若不存在，请说明理由．22．(本小题满分12分)已知向量m ＝(sin x,1)，n ＝(3A cos x ，A2cos2x )(A >0且A 为常数)，函数f (x )＝m ·n 的最大值为6. (1)求A 的值；(2)将函数y ＝f (x )的图像向左平移π12个单位，再将所得图像上各点的横坐标缩短为原来的12倍，纵坐标不变，得到函数y ＝g (x )的图像，求g (x )在[0，5π24]上的值域．参考答案：一、CABDC ABABC DD二、13. 0.25；14. 40；15. [)1+∞，；16 ()=2sin 33f x x π+.三、17: 答案 (1)14 (2)1529解析 (1)甲品牌产品寿命小于200小时的频率为5＋20100＝14，用频率估计概率，所以甲品牌产品寿命小于200小时的概率为14.(2)根据抽样结果，寿命大于200小时的产品有75＋70＝145个，其中甲品牌产品是75个，所以在样本中，寿命大于200小时的产品是甲品牌的频率是75145＝1529，用频率估计概率，所以已使用了200小时的该产品是甲品牌的概率为1529.18. （1）1 0.025 0.1 1(2)略(3)总体平均数约为122.5，总体落在[129,155]上的频率约为0.315. 解析 (1)随机抽出的人数为120.300＝40，由统计知识知④处应填1；③处应填440＝0.1；②处应填1－0.050－0.1－0.275－0.300－0.200－0.050＝0.025；①处应填0.025×40＝1. (2)频率分布直方图如图． (3)利用组中值算得平均数：90×0.025＋100×0.05＋110×0.2＋120×0.3＋130×0.275＋140×0.1＋150×0.05＝122.5；总体落在[129,155]上的频率为610×0.275＋0.1＋0.05＝0.315.19. 解析 (1)散点图，如图所示．(2)由题意，得∑i ＝14x i y i ＝3×2.5＋4×3＋5×4＋6×4.5＝66.5，x －＝3＋4＋5＋64＝4.5，y －＝2.5＋3＋4＋4.54＝3.5，∑i ＝14x i 2＝32＋42＋52＋62＝86，∴b ∧=66.5－4×4.5×3.586－4×4.52＝66.5－6386－81＝0.7，a ∧＝y －－b ∧x －＝3.5－0.7×4.5＝0.35.故线性回归方程为y ∧＝0.7x ＋0.35.(3)根据回归方程的预测，现在生产100吨产品消耗的标准煤的数量为0.7×100＋0.35＝70.35，故能耗减少了90－70.35＝19.65(吨)．20. 解析 用(a ，b)表示a ，b 取相应值时所对应的一个一元二次方程．要使x 2＋2ax ＋b ＝0有实根，则(2a)2－4b ≥0，即a ≥b.(1)(a ，b)的所有可能取值有12个：(0，0)，(0，1)，(0，2)，(1，0)，(1，1)，(1，2)，(2，0)，(2，1)，(2，2)，(3，0)，(3，1)，(3，2)，其中满足a ≥b 的有9个． 故方程x 2＋2ax ＋b ＝0有实根的概率为912＝34.(2)设事件A 表示“一元二次方程x 2＋2ax ＋b ＝0有实根”，则(a ，b)的所有可能取值构成的区域为{(a ，b)|0≤a ≤3，0≤b ≤2}，这是一个长方形区域，面积为2×3＝6；构成事件A 的区域为{(a ，b)|0≤a ≤3，0≤b ≤2，a ≥b}，如图中阴影部分，面积为2×3－12×22＝4.故方程x 2＋2ax ＋b ＝0有实根的概率为46＝23.21.【解析】 ①∵1＋cos x －sin x 1－sin x －cos x ＝2cos 2x 2－2sin x 2cos x 22sin 2x 2－2sin x 2cosx 2 ＝2cos x 2(cos x 2－sin x 2)－2sin x 2(cos x 2－sin x 2)＝－cos x2sin x 2， 同理得1－cos x －sin x 1－sin x ＋cos x ＝－sin x2cos x 2.∴f (x )＝－cos x 2sin x 2－sin x 2cos x 2＝－cos 2x 2＋sin 2x 2sin x 2·cos x 2＝－2sin x .且x ≠2k π＋π2，k ∈Z.②若tan x2·f (x )＝1＋tan 2x 2sin x ，则－2tan x 2sin x ＝1＋tan 2x2sin x . ∴2tan x 21＋tan 2x2＝－1，即sin x ＝－1. 此时x ＝2k π＋3π2，(k ∈Z )，即为存在的值．22. 解析 (1)f (x )＝m ·n ＝3A sin x cos x ＋A2cos2x ＝A (32sin2x ＋12cos2x )＝A sin(2x ＋π6)．因为A >0，由题意知A ＝6. (2)由(1)知f (x )＝6sin(2x ＋π6)．将函数y ＝f (x )的图像向左平移π12个单位后得到 y ＝6sin[2(x ＋π12)＋π6]＝6sin(2x ＋π3)的图像；再将得到图像上的各点横坐标缩短为原来的12倍，纵坐标不变，得到y ＝6sin(4x ＋π3)的图像． 因此g (x )＝6sin(4x ＋π3)．因为x ∈[0，5π24]，所以4x ＋π3∈[π3，7π6]． 故g (x )在[0，5π24]上的值域为[－3,6]．。

沈阳二中2023-2024学年度下学期6月阶段测试高一(26届) 英语试题说明:1.测试时间: 120分钟总分: 150分2.客观题涂在答题纸上，主观题答在答题纸得相应位置上第一部分听力(共两节，满分30分) 略第二部分阅读(共两节，满分50分)第一节(共15小题; 每小题2.5分, 满分37.5分)阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项。

AThe Best Mini Freezers in 2024There are hundreds of mini freezers on the market right now, so we've made the decision easier with a list of the best mini freezers, including various sizes and options in every price range.Hotpoint Manual Defrost FreezerFor anyone who truly doesn't know where to start, you can't go wrong with the Hotpoint's chest freezer. It offers 4.9 cubic feet of space. A removable organization basket is ideal for storing items you use the most to ensure they're always on top and easily accessible. Plus, you can adjust the temperature as needed to ensure everything is completely frozen through.Arctic King Upright FreezerIf you're looking for a unit that's relatively affordable, then this 1.1-cubic-foot upright mini freezer might be for you. It's a quality mini freezer for dorms, bedrooms or anyone wanting extra storage for snacks and beverages. You might not be able to fit a lot inside, but it takes up minimal space and is ideal for a single person.Midea Mini FreezerWith 3. 5 cubic feet of space, this model from Midea is the best mini freezer on Amazon with thousands of five-star ratings. Unlike many chest freezers, it has a door that opens at various angles, making it easy to grab items quickly. It comes with a storage basket and temperature knob that gives you full control over how cold you keep your food.Summit Mini FreezerThis mini freezer from Summit is available in stainless steel or wood-panel finishes. The freezer has 4. 7 cubic feet of space and an ice maker. Plus, it has a temperature memory function and a frost-free system that automaticallyadjusts the temperature to prevent excess frost from building up.1. Which freezer offers the largest space?A. Hotpoint Manual Defrost Freezer.B. Arctic King Upright Freezer.C. Mide a Mini Freezer.D. Summit Mini Freezer.2. What is s special about Mide a Mini Freezer?A. It enables you to adjust temperature.B. It is the best mini freezer in the world.C. Its door remains open at different angles.D. Its price is accepted by most customers.3. What can you do with Summit Mini Freezer?A. Remove the basket.B. Make ice.C. Fit a lot inside.D. Save money.BKristin Schell is the founder of The Turquoise Table, a movement of ordinary people who want to create community right in their own front yards. Ten years ago, she and her family moved to a new home in Austin, Texas.One day, Kristin tried to connect with her new neighbors by hosting a party. She bought a few picnic tables but the delivery driver set one table down in her front yard by mistake. “After the party, I painted the table turquoise—my favorite color—and put it in the front yard, just a few feet from the sidewalk,”she says.That turquoise table became the place where Kristin and her kids hung out. They played games, did crafts and ate snacks. “We got intentional about where we spent our time,”Kristin says. “We became‘front yard people’”Neighbors began to stop by to introduce themselves and sit down for a chat. Kristin invited people to join her at the table for coffee or iced tea. Then neighbors asked Kristin if their family could put a picnic table in their front yard too. A movement was born. “It was a simple way to slow down and connect with others,” she says. The turquoise table was inviting and had a shared feel.People often hesitate to invite others into their homes. They think their house is too messy, it's not big enough or they don't have enough time. “Our perfectionism can cause us to miss out on the joy of connecting with others,”Kristin says. Her picnic table takes away the excuses—and the pressure.She likes how it enables her to take a small step toward easing loneliness and building relationships in her community. “People’s greatest need is to know that they are loved and that they belong,” she says.A decade after their Texas beginnings, thousands of Turquoise Tables exist in all50 states and in 13 countriesaround the world. Not all of them are actually turquoise.“No matter what color it is, it's a friendship table,” Kristin says.4. Why did Kristin Schell start the movement?A. To host more parties in her front yard.B. To entertain her friends and neighbors.C. To engage with people in the neighbourhood.D. To create harmonıous communities worldwide.5. Which of the following words best describe Kristin Schell according to the text?A. Creative and sociable.B. Friendly and humorous.C. Generous and ambitious.D. Cautious and responsible.6. What can be inferred from the text?A. People don't like others to step into their houses.B. The campaign has a big impact at home and abroad.C. Kristin Schell bought the turquoise table to host a party.D. People feel unwilling to join in the front yard chat at first.7. Which of the following is a suitable title for the text?A. Love Your NeighborsB. An Amazing WomanC. Happy Front Yard TimeD. Tables Where All Are WelcomeCSnow crab legs, the centerpiece of any self-respecting seafood, are no longer on the menu. They are the victim of a massive population crash that led Alaska to cancel its Bering Sea snow crab harvest for the first time in recorded history this year. The$132 million-a-year industry saw the state's snow crab population drop 87%, from 8billion in 2018 to 1 billion last year. Officials suggested that climate change might be to blame; Alaska is the fastest-warming state in the U. S. But that's only part of the story, says Wes Jones, an Alaska-based fisheries expert. According too the marine biologists he works with,, the most immediate cause of snow crab death is something even seasoned fishermen didn't see coming: a mass cannibalism(同类相食) frenzy.Back in 2017, Jones says, local crabbers started reporting a population explosion of juvenile snow crabs. The boom continued into 2019, creating what Jones says was the largest population on record. At the time, the young crabs were too small for a legal harvest- juvenile snow crabs take four to five years to be fully mature. Meanwhile, Bering Sea temperatures , which is usually close to freezing, jumped several degrees from 2017 to 2019 and caused thespecies to speed up their metabolisms(新陈代谢).“All of a sudden you had this huge number of little crabs coming up, eating themselves out of house and home.”says Jones. “Then the water warmed, which meant they had to eat more.”It was a double whammy , and the results were unenviable for a hungry species that has run out of its usual food source. They basically cannibalized each other.”he says.Snow crabs are o nly the latest victims of climate change in the Bering Sea. Risıng temperatures have often led to unpredictable boom-and-bus t cycles, which have had unanticipated consequences up and down the food chain. A population explosion of sockeye salmon is one likely reason for the recent collapse of Alaska's red king crab harvest, which was also canceled this year. Meanwhile, the warming waters of the Bering Sea have opened the door for Pacific cod, a predator of juvenile crabs.It will be years before the Alaskan snow crab population recovers to harvest-worthy levels, says Jones. And that's only if temperatures in the Bering Sea stay cool enough for the cold-loving juveniles—and climate change is making everything harder to predict. “When you start seeing things outside of the range of what you’ve seen before,” says Jones, “you don't know how that is gonna affect something until it's happened, like rising water temperatures and cannibalism.”8. Why did Alaska cancel its Bering Sea snow crabs harvest this year?A. Customers are no longer crazy about snow crab.B. Snow crabs consume another species as food.C. They population of snow crab dropped sharply.D. Alaska suffers from severe climate change.9. What does the underlined phrase “double whammy” mean in paragraph 2?A. a shortage of food source and cannibalism.B. climate change in the Bering Sea illegal sea harvestC. the advanced metabolism and freezing sea temperature.D. a population explosion of snow crabs and a rise of the sea temperature.10. What can we learn from Wes Jones` words in the last paragraph?A. Bering Sea is certain to stay cool enough for the snow crab.B. Alaskan snow crab population will recover instantly.C. The current situation is hard to predict until it`s happenedD. It is effortless to research how fast the climate changes11. What`s the best title of the text?A. Alaskan fishing industry suffers heavy losses.B. Climate change leads to victims in the Bering Sea.C. Alaska delayed a snow crab harvest..D. The curious case of the cannibal crabs.DWho cares if people think wrongly that the internet has had more important influences than the washing machine? Why does it matter that people are more impressed by the most recent changes?It would not matter if these misjudgments were just a matter of people's opinions. However, they have real impacts, as they result in misguided use of scarce resources.The fascination with the ICT(Information and Communication Technology)revolution, represented by the internet, has made some rich countries wrongly conclude that making things is so “yesterday”that they should try to live on ideas.This belief in “post-industrial society”has led those countries to neglect their manufacturing sector(制造业), with negative consequences for their economies.Even more worryingly, the fascination with the internet by people in rich countries has moved the international community to worry about the “digital divide”between the rich countries and the poor countries. This has led companies and individuals to donate money to developing countries to buy computer equipment and internet facilities. The question, however, is whether this is what the developing countries need the most. Perhaps giving money for those less fashionable things such as digging wells, extending electricity networks and making more affordable washing machines would have improved people's lives more than giving every child a laptop computer or setting up internet centres in rural villages, I am not saying that those things are necessarily more important, but many donators have rushed into fancy programmes without carefully assessing the relative long-term costs and benefits of alternative uses of their money.In another example, a fascination with the new has led people to believe that the recent changes in the technologies of communications and transportation are so revolutionary that now we live in a “borderless world”. As a result, in the last twenty years or so, many people have come to believe that whatever change is happening today is the result of great technological progress, going against which will be like trying to turn the clock back. Believing in such a world, many governments have put an end to some of the very necessary regulations on cross-border flows of capital, labour and goods, with poor results.Understanding technological trends is very important for correctly designing economic policies, both at thenational and the international levels, and for making the right career choices at the individual level. However, our fascination with the latest, and our under valuation of what has already become common, can, and has, led us in all sorts of wrong directions.12. Misjudgments on the influences of new technology can lead to .A. a lack of confidence in technologyB. a slow progress in technologyC. a conflict of public opinionsD. a waste of limited resources13. The example in Paragraph 4suggests that donators should .A. take people's essential needs into accountB. make their programmes affordable to peopleC. ensure that individuals gets financial supportD. provide more alternative Internet facilities14. What has led many governments to remove necessary regulations?A. Neglecting the impacts of technological advances.B. Believing that the world has become borderless.C. Ignoring the power of economic development.D. Focusing on the role of international communication.15. What can we learn from the passage?A. People should be encouraged to make more donations.B. Traditional technology still has a place nowadays.C. Making right career choices is vital to personal success.D. Economic policies should follow technological trends.第二节(共5题; 每小题2.5分, 满分12.5分)阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项，选项中有两项为多余选项。