2018-2019学年豫南九校联考高一上学期期末考试英语试题扫描版含答案
河南省豫南九校2018-2019学年高一下学期第三次联考英语试题Word版含答案
河南省豫南九校2018-2019学年高一下学期第三次联考英语试题Word版含答案（考试时间：100分钟试卷满分：120分）第一卷最新试卷多少汗水曾洒下，多少期待曾播种，终是在高考交卷的一刹尘埃落地，多少记忆梦中惦记，多少青春付与流水，人生，总有一次这样的成败，才算长大。
温馨提示：多少汗水曾洒下，多少期待曾播种，终是在高考交卷的一刹尘埃落地，多少记忆梦中惦记，多少青春付与流水，人生，总有一次这样的成败，才算长大。
高考保持心平气和，不要紧张，像对待平时考试一样去做题，做完检查一下题目，不要直接交卷，检查下有没有错的地方，然后耐心等待考试结束。
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40分）第一节（共15小题：每小题2分，满分30分）阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该项涂黑。
AIslands of Adventure at Universal Orlando in FloridaPeople say that it is the home of the “Harry Theme Park”. The Wizarding World is the most popular part of the park. Other popular rides include the Adventure of Spider-Man. People & Bluto’s Bilge-Rat Barges and the Jurassic Park River Adventure. It is open from Monday tSaturday.$15.95 for children, 3 to 13 years old; $29.95 for ages 14 and over.PI-Indoor Theme Park in LongueuilThe PI-O Indoor Theme Park features 16 rides, a small sea train, a kid-sized bowling alley, a mirror maze（迷宫）, theme rooms which include the Christmas room on-the-sea, and a private reception room.“I wanted to create a safe environment for kids aged 1 to 10,” ex plains owner Jocelyne Pinard. She noted how many competing amusement parks have sections that can be unsafe for young kids—such as the “ball rooms” full of loose plastic balls. So this is how it is different from other amusement parks.Open seven days a week. The admission fees are $16.99 for individuals（个人）and $64 for families.Legoland Windsor Theme Park in LondonLegoland Windsor is the best choice for young families. The park is designed for children from3 to 12. There are over 50 rides as well as live shows, workshops, and other attractions aimed at younger children, and especially those who are already fond of building-block（积木）toys.The park is open every single day. Adults: $35; Ages 3-15 and 60+: $26. Buy online and save $3 per person.Wonder La Theme Park in IndiaWonder La is a world-class amusement park. It’s modern, clean and green, and has all kinds of attractions. There are over 50 rides, 12 of which are water based and 9 especially for small children. If you love getting wet, don’t miss the Ra in Disco-an indoor floor with a rain system that provides showers of warm water to the music. Monday to Friday 11 a.m. Until 6 p.m. Saturday, Holiday and Festival seasons 11 a.m. Until 7 p.m. Single adult/child-$13.50; Family ticket (for any four people)-$50.00; Children 3 and under-Free.21. If Jim free this Sunday, he can choose to visit the following parks EXPECT____.A. Islands of AdventureB. PI-OC. Legoland WindsorD. Wonder La22. How is PI-O Indoor Theme Park mainly different from other parks?A. It is much safer.B. It features more rides.C. It is much cheaper.D. It is offers more activities23. If a couple want to visit Legoland Windsor Theme Park with their 5-years-old son, how much do they need to pay when booking online?A. $70B. $87C. $93D. $9624. Which of the following about Wonder La Theme Park is NOT true?A. It is located in India.B. It is free for children of 3 and under.C. There are nine rides especially for small children.D. The Rain Disco lets children enjoy cool showers while dancing.BUSA Today is a national American daily newspaper published by the Gannett Company. It was founded by A1 Neuharth in 1982 with the goal of providing a national newspaper in the US market, where generally only a single local newspaper was available. The paper has the widest circulation（发行量）of any newspaper in the United States, averaging over 2.25 million copies every weekday. It was the first color newspaper in the United States.The newspaper was also among the first newspapers to use satellites to send the edition of the newspaper to different locations across the country for printing and distributing in those regional markets. This allowed the paper to include the most recent news and sports scores in each edition.Each edition of the newspaper consists of four sections: News, Money, Sports and Life. On Fridays, tow life sections are included: the regular life for movies subtitled Weekend, which features television, films and trends, and a travel supplement called Destinations & Diversions. Each section is denoted（表示）by a certain color to different sections, which is seen in a box on the top-left corner of the first page, with News being blue(section A), Money with green (section B), red for Sportd (section C), and purple for life (section D). USA Today prints each complete story on the front page of the respective（各自的）section with exception to the cover story. The cover story is a longer story that requires a jump (readers must turn to another page in the paper in the paper to complete the story, usually the very next page, page 2 of that section).Starting in February 2008, the newspaper added a magazine supplement（增刊）called Open Air, appearing several times a year.25. It can be inferred from the first paragraph that USA Today____.A. Developed from a famous America local newspaperB. Was founded to cover world storiesC. Was among the first color newspapers in the worldD. Does not print on Saturdays or Sundays26. Which of the following is TRUE about USA Today?A. It uses satellites to print color copy.B. It is the cheapest daily newspaper in the United States.C. It offers readers the latest news.D. It is the first international newspaper in the United States.27. Mr. Watts wants to get the most recent travel information. He will turn to____.A. Section AB. section BC. section CD. section DCBreakfast is the most important meal of the day. It is also the most neglected（忽视）.Common reason for not eating breakfast include having no time, not feeling hungry, traditional dislike and dieting.Bre akfast si mply means “break the fast”. Your body spends at least 6 to 12 hours each night in a fasting state. In the morning your body needs energy for the day’s work ahead.A good breakfast should provide 1/3 of your total calorie（卡路里）needs for the day. On average,we eat 400 less calories for breakfast than for dinner. If breakfast doesn’t attract you in the morning, try eating a lighter dinner earlier in the evening or save half of your dinner for breakfast in the morning.Some people fear that eating breakfast will make them hungrier during the day and they will eat more. It is true that eating breakfast is likely to make feel hungry throughout the day. That is because your body id working correctly. Although you may feel as if you are eating more all day long, in reality you are probably not. Not eating breakfast can also cause you to overeat, since a fall in blood sugar often makes you feel very hungry later.Since breakfast is the first and most important meal of theday, choosing the right food is important, the best breakfast foods are fruits, juice, lean meat and grain products such as bread, rice, noodles and cereals（谷物）.28. Which meal is the most neglected according to the passage?A. Supper.B. Lunch.C. breakfast.D. dinner.29. Which is not the reason for people to miss breakfast?A. A bigger meal in the mid-morning.B. Feeling full in the morning.C. The fast pace of modern life.D. Have a little supper.30. The best title for this article is_____.A. Diet and Breakfast.B. Breakfast: Well Begin, Half Done.C. What is a Good BreakfastD. Bad Eating Habits of Modern PeopleDIt is widely acknowledge that cities with some kind of functioning ecosystems make for better place for humans to live. More plants and animals in cities make for happier, healthier people.A study conducted on green spaces in Sheffield, England, for instance, revealed that the greater the biodiversity（生物多样性）, the greater the psychological well-being（健康）of the city’s citizens. In Paris, researchers found that getting citizens to take part in day-long activities involving urban wildlife opened their eyes to the natural world for a time, at least.Few cities have been associated with urban ecology for as Berlin. “Slow economic recovery after the Second World War meant that reconstruction would take a long time. This provide local ecologist with the ideal conditions to develop an ambitious ecological research program in the bombed-out wastelands of West Berlin,” said Jens Lachmund, a sociologist at the University of Maastricht in the Netherlands.The pioneering work in Berlin had several consequences, especially the formation of significant natural spaces within the city, such as the Sudgelande Nature. “Berlin has indeed benefited a lot from being a case study in urban ecology,” said Lachmund.The recent research conducted by Mark Goddard, a biologist at the University of Leeds, and his colleagues confirmed the important of natural space within an urban setting. Goddard and his team conducted a striking global analysis of bird and plant diversity, quantifying the influence of urbanization on levels of biodiversity around the world. “Functioning urban ecosystems will be extremely important to human health and well-being,” said Goddard.Cities take up just 3% of the land surface area, yet according to the most recent figure from the United Nations, some 3.6 billion people (just over 50% of the global population) now live in urban areas. By 2050, this figure is expected it rise to 6.3 billion. Without animals and plants to keep us company, it is a dark future.32. The findings in Paragraph 2 are mentioned to explain the between_____.A. citizens and their well-beingB. green spaces and urban wildlifeC. Urban ecology and citizens’ well-beingD. Functioning ecosystems and the natural world33. What would be Goddard’s attitude towards Berlin’s work?A. Cautious.B. Negative.C. Uncaring.D. Admiring.。
河南省南阳市2018-2019学年高一英语上学期期末考试试题(扫描版)
河南省南阳市2018-2019学年高一英语上学期期末考试试题（扫描版）2018年秋期高中一年级期终质量评估英语试题答案第一部分听力（共两节，满分30分）1-5 BABBC 6-10 ACBAC 11-15ACBAA 16-20BBAAC第二部分阅读理解（共两节，满分40分）21-24 BABC 25-28 CBAD 29-31 DBC 32-35 DBCC36-40 BEGCD第三部分第三部分英语知识运用（共两节，满分45分）完形填空：41-45 ACBAD 46-50 BCDAB 51-55 CACBD 56-60 ACDDB语法填空：61. dating 62. who 63. in 64. various 65. performances66. have been found 67. but 68. the 69. extremely 70. more第四部分写作(共两节，满分35分)短文改错：71. . my family will often ... will-- would72 in countryside in后加the73..... always crowded in... in--with74. ... relative I didn’t ... relative一relatives75. We usual had .... usual--usually76. who was insisted was删掉77. ... forgot to sending .. sending --send78. his grandpa had... his---my79.... sit down or listen... or -- and80.family always top the list top —tops书面表达：Dear JasonI'm writing to congratulate you on officially becoming a member of our club. It's a perfect time for you to join us because there will be a paper-cutting exhibition in celebration of the Spring Festival in our school next weekend. As the president of the club, I'd like to invite you to make a piece of paper-cutting.As is known to all, paper-cutting is a famous traditional folk art, which has a variety of designs. Therefore, you may as well make a paper-cut with foreign features. By the way, please hand in your artwork to Room 305 before next Friday. Looking forward to admiring your paper-cut.Best wishes.部分答案解析：阅读理解：A此篇介绍了到巴西的六日游。
2018-2019学年高一英语试题第一学期期末考试试卷及答案
高一英语试题第一学期期末考试试卷( A )(考试时间：120分钟总分150分)注意事项：1、本试卷共分两部分，第Ⅰ卷为选择题，第Ⅱ卷为非选择题。
2、所有试题的答案均填写在答题纸上（选择题部分使用答题卡的学校请将选择题的答案直接填涂到答题卡上），答案写在试卷上的无效。
第I卷（选择题共105分）第一部分：听力(共三节，满分30分)做题时，先将答案划在试卷上。
录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。
第一节(共5小题；每小题 1.5分，满分7.5分)听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1 . How many people died in the accident?A. About ten peopleB. About twenty peopleC. Twenty-two people2.What's the date today?A. It's September 8. .B. It's September 9.C. It's September. 10 .3.What's happened to Mrs. Hawking?A.She's thinner than before.B.She missed something last year.C.She can't find her husband.4.When did Marx find his wallet gone?A.When he was at the bus station in Boston.B.When he was in the train to Boston.C.When he was going out of the railway station.5.How much will the man need from the woman to buy the book?A. ＄8.00.B. ＄9.00.C. ＄5.00.第二节(共15小题，每小题 1.5分，满分22.5分)第二节(共11小题；每小题 1.5分，满分16.5分)听下面四段对话。
河南省商丘市九校2018-2019学年高一上学期期末联考英语试题 Word版含答案
2018——2019学年上期期末联考高一英语试题本试卷分试题卷和答题卷两部分，试题卷共8页，答题卷共2页。
请按要求把答案涂、写在答题卡规定的范围内，超出答题框或答在试题卷上的答案无效。
满分120分，考试时间100分钟。
考试结束只收答题卡。
第Ⅰ卷（选择题；共70分）第一部分听力（略）第二部分阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该项涂黑。
AAn eight-year-old child heard her parents talking about her little brother. All she knew was that he was very sick and they had no money. Only a very expensive operation could save him now and there was no one to lend them the money. When she heard her daddy say to her tearful mother, “Only a miracle (奇迹) can save him now,” the little girl went to her bedroom and pulled her money from its hiding place and counted it carefully.She hurried to a drugstore (药店) with the money in her hand.“And what do you want?” asked the salesman. “It’s for my little brother,” the girl answered. “He’s really, really sick and I want to buy a miracle.”“Pardon?” said the salesman.“My brother Andrew has something bad growing inside his head and my daddy says only a mi racle can save him. So how much does a miracle cost?” “We don’t sell a miracle here, child. I’m sorry,” the salesman said with a smile.“Listen, if it isn’t enough, I can try and get some more. Just tell me how much it costs.”A well-dressed man he ard it and asked, “What kind of a miracle does your brother need?”“I don’t know,” she answered with her eyes full of tears. “He’s really sick and mum says he needs an operation. But my daddy can’t pay for it, so I have brought all my money.”“How much do you have?” asked the man. “$1.11, but I can try and get some more,” she answered.“Well, what luck,” smiled the man. “$1.11, the price of a miracle for little brothers.”He took up the girl’s hand and said, “Take me to where you live. I wan t to see your brother and meet your parents. Let’s see if I have the kind of miracle you need.”That well-dressed man was Dr Carlton Armstrong, a famous doctor. The operation was successful and it wasn’t long before Andrew was home again.How much did the miracle cost?21. What was the trouble in the little girl’s family?A. Her brother was seriously ill.B. They had no money.C.Both A and B.D. Nothing could save her brother.22. In the eye of the little girl, a miracle might be _____.A. something interestingB. something beautifulC. some wonderful medicineD. some good food23. What made the miracle happen?A. The girl’s love for her brother.B. The girl’s money.C. The medicine from the drugstore.D. Nobody can tell.24. From the passage we can infer that _____.A. The doctor didn’t ask for any pay.B. The little girl is lovely but not so clever.C. Andrew was in fact not so sick as they had thought.D. A miracle is sure to happen if you keep on.BAnger is a kind of feeling. Many things can make you angry. When your teacher gives you too much homework, when your team loses an important game, when a friend borrows your favorite thing and then breaks it, you may get really angry.Usually, your body will tell you when you are angry. For example, you breathe faster, your face turns red, and you may want to break something or hit someone, but sometimes, you hide your anger. For example, you may hide it in your heart. The problem is that if you do this, you may get a headache or your stomach may hurt.In fact, it’s not good to hide your anger, and it’s normal for you to get angry sometimes. But anger must be let out in the right way, without hurting others or yourself. When you get angry, you can talk about it with other peopl e. It’s helpful to talk about your anger with an adult, such as parents, a teacher, etc.When you talk about anger, those bad feelings can start to go away. Here are some other things you can do when you start to feel angry: talk to a good friend; count from 1 to 100; give someone a hug (拥抱); go for a bike ride; think about good things, etc.Remember that how you act when you are angry can make everything better or worse. Don’t let your anger control you.25. You may not get angry when ____.A. there is too much homework this weekendB. your favorite basketball team wins the gameC. a friend breaks your favorite thingD. your parents don’t let you watch TV26. ____ shows that you’re not angry.A. Taking a faster breathB. Getting a headacheC. Getting a stomachacheD. Wanting to protect someone27. According to the passage, you can do everything when you get angry EXCEPT ____.A. go for a bike rideB. think about good thingsC. talk to a good friendD. say bad things to the people around you28. This passage is mainly about ____.A. angerB. excitementC. happinessD. SadnessCAnimals are natural resources that people have wasted all through our history.Animals have been killed for their fur and feathers, for food, for sport, and simply because they were in the way. Thousands of kinds of animals have disappeared from the earth forever. Hundreds more are on the danger list today. About 170 kinds in the United States alone are considered in danger.Why should people care? Because we need animals. And because once they are gone, there will never be any more.Animals are more than beautiful or interesting. They are more than just a source of food. Every animal has its place in the balance of nature. Destroying one kind of animals can cause many problems. For example, when farmers killed large numbers of hawks, the farmers’ stores of corn and grain were destroyed by rats and mice. Why? Because hawks eat rats and mice. With no hawks to keep down their numbers, the rats and mice multiplied quickly.Luckily, some people are working to help save the animals. Some groups raise money to let people know about the problem. And they try to get the governments to pass laws protecting animals in danger.Quite a few countries have passed laws. These laws forbid the killing of any animal or plant on the danger list. Slowly, the number of some animals in danger is growing.29. Animals are important to us mainly because _____.A. They give us a source of foodB. They are beautiful and lovelyC. They keep the balance of natureD. They give us a lot of pleasure30. What has happened to the animals on the earth?A. Hundreds of kinds of animals are gong forever.B. All kinds of animals are in danger.C. About 170 kinds of animals have disappeared forever.D. Many kinds of animals have died out.31.which of the following is NOT true?A.People care about animals because they need them.B.Once a certain kind of animals is gone forever, there will never be any more.C.Killing all rats and mice may cause some problems.D.People must not kill any animals.DPop music is the name for different forms of popular, commercial (商业) music. It had its beginning in the USA and spread throughout the whole world during the 1950s and 1960s. It is widely liked by the young people. The best known early form of pop music was “rock’ n’ roll”; another was “blues”. A more recent development is “folk-rock”.Pop music has taken the place of native music in many parts of the world; it has caused the number of people for jazz to become much smaller than it was in the 1950s and earlier, and it has now begun to rule musical stage productions. It’s a big industry. Much pop music is without artistic value, but the work of some pop singers, e.g. the Beatles, Bob Dylan, the groups like Floyd and Crosby, Stills and Nash, is on a higher musical level. And there is still a great interest in it today. Pop music concerts and festivals take place all over the world.32.which of the following forms doesn’t belong to pop music _____.A.bluesB. rock’n’ rollC. jazzD. folk-rock33.According to the article, the number of people for jazz in the 1950s and earlier was _____ itis today.A. much greater thanB. much smaller thanC. as great asD. as small as34.Which of the following is TRUE?A. No pop music is on a high musical level.B. Much pop music is very artistic.C. Pop music is highly artistic.D. Not all pop music is without artistic value.35. “It is a big industry” means that _____.A. it makes a lot of musical instrumentsB. it is a big musical and commercial businessC. the pop singers are very hard-workingD. pop music is on a very high musical level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填入空白处的最佳选项并在答题卡上将该项涂黑。
河南省信阳普通高中2018-2019学年高一上学期期末考试英语试题 Word版含答案
信阳普通高中2021届高一期末考试英语试题第І卷第一部分听力（共两节，满分30分）做题时，先将答案标在试卷上。
录音内容结束后，你将有2分钟的时间将试卷上的答案转涂到答题卡上。
第一节（共5小题；每小题1．5分，满分7．5分）第二部分阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该项涂黑。
ATeachers’ Day is, interestingly, not celeb rated on the same day all over the world. In some countries it is marked by a holiday, in others it is a working day.International Teachers’ Day is celebrated on October 5. Being held ever since 1994, it is in honor of teachers' organizations worldwide. Its aim is to encourage supports for teachers and to meet the needs of students.China ― In 1939, Teachers’ Day was set for August 27, Confucius' birthday. In1951, the celebration was stopped. However, it was founded again in 1985, and the day was changed to September 10.India ― Teachers’ Day is celebrated on September 5 in honour of Dr. Sa rvepalli Radhakrishnan, the second president of India, whose birthday falls on that day. Russia ― In Russia, Teachers’ Day was celebrated on the first Sunday of October between 1965 and 1994. Since 1994, the day is observed on the October 5, just the same day as World Teachers Day.The US ― In the US, Teachers’ Day is non-official holiday. It is celebrated on the Tuesday of the first full week of May. A number of activities are organized in schools to honor teachers. The celebrations can continue for the whole week of May. Thailand ― In Thailand, National Teachers’ Day is celebrated every year on January 16. The first Teachers’ Day was held in 1957. The day is a holiday in schools.21. Which of the following has the same meaning as the underlined word “observed”?A. stoppedB. heldC. celebratedD. fell22. Which of the following is possibly true?A. China has celebrated Teachers’ Day since the year 1931.B. Dr Sarvepalli Radhakrishnan’s birthday is in SeptemberC.Teachers’ Day is an offi cial holiday in the United States.D. Teachers’ Day is a working day in schools of Thailand.23. From the passage we can learn that ________.A. The first Teachers’ Day was held in 1965 in ThailandB. Teachers’ Day falls on Confucius' birthday in C hinaC. International Teachers’ Day aims to benefit the studentsD.A lot of activities are held on Teachers’ Day across the worldB“An apple a day keeps the doctor away.” Similarly, if we drink a little more water every day, we may find that we need to go to the doctor a lot less often. A healthy diet is made up of water and a great many different kinds of foods. We know that healthy foods like fruits, vegetables and fish, are important as they provide us with energy and fiber, without giving us too much fat and sugar. But why is water important?The human body needs water to survive. Water is important as it carries poisons and waste out of our bodies. So, doctors advise us to drink plenty of water, much more than the small amount we need to stay alive.Some doctors believe that water is important for our health in all kinds of ways. They believe that a great many illnesses and health problems start as a result of dehydration(脱水)—a lack of water in the body. Most people are dehydrated at least some of time, although they probably don’t know it. It is surprising to learn that if we feel thirsty, we are already in the first stage of dehydration. In fact, we are advised to drink water before we feel thirsty.These doctors think that health problems such as headaches, high blood pressure and asthma(哮喘) could be helped if people drink more water. They also believe that drinking more water can help people who are overweight. Water contains no calories so it will not make us put on weight. If we drink water, we will probably drink lesssugary soft drinks such as Coca-cola. Doctors also believe that drinking more water may stop people from overeating. They say that many people think that they are hungry when they are, in fact, thirsty. Doctors suggest, therefore, that we eat less food and drink more water. There are still many health problems that cannot be solved by drinking water, so we should not stop going to seeing the doctor completely. However, if we make a decision to drink water every day, we may find that we need to go to the doctor a lot less often.24. From the text, we know water can carry_________.A. poisons and waste out of our bodiesB. fruit, vegetables and fish in our bodiesC. sugar and fat out of our bodiesD. energy and fiber in our bodies25. Some doctors think that________.A. people eat too much sugarB. water is not important for our healthC. we should go to the doctor less oftenD. some health problems are caused by a lack of waterck of water caused people to put on weight too much because_______.A. they think they are thirsty and eat lessB. they think they are hungry and eat too muchC. water has no caloriesD. it makes them thirsty27. Which of the following isn’t mentioned in the passage?A. Drinking more water may stop people from overeating.B. The amount of water a person should drink in a day.C.Some healthy problems start because of a lack of water.D.Fruit provides us with energy and fibre.CAre you sometimes a little tired and sleepy in the early afternoon? Many people feel this way after lunch. They may think that eating lunch is the cause of the sleepiness. Or, in summer, they may think it is the heat. However, the real reason liesinside their bodies. At that time—about eight hours after you wake up—your body temperature goes down. This is what makes you slow down and feel sleepy. Scientists have tested sleep habits in experiments where there was no night or day. The people in these experiments almost always followed a similar sleeping pattern. They slept for one long period and then for one short period about eight hours later.In many parts of the world, people take naps（小憩）in the middle of the day. This is especially true in warmer climates, where the heat makes work difficult in the early afternoon. Researchers are now saying that naps are good for everyone in any climate.A daily nap gives one a more rested body and mind and therefore is good for health in general. In countries where naps are traditional, people often suffer less from problems such as heart disease. Many working people, unfortunately, have no time to take naps. Though doctors may advise taking naps, employers do not allow it! If you do have the chance, however, here are a few tips about making the most of your nap. Remember that the best time to take a nap is about eight hours after you get up. A short sleep too late in the day may only make you feel more tired and sleepy afterward. This can also happen if you sleep for too long. If you do not have enough time, try a short nap—even ten minutes of sleep can be helpful.28. Why do you sometimes feel sleepy in the early afternoon?A. Because you eat too much for lunch.B. Because it’s hot in summer.C. Because your body temperature goes down at that time.D. Because you didn’t have a good sleep last night.29. What can we learn about “naps” according to the last paragraph?A. All the people in warmer climates take naps in the middle of the day.B. Doctors need to take naps while employers don’t.C. If you take naps every day, you’ll never suffer from heart disease.D. Taking naps regularly is good to people’s health.30. If you get up at 6:30 am, what is the best time for you to take a nap?A. About 12:30 pm.B. About 1:30 pm.C. About 2:30 pmD. About 3:30 pm31. What would be the best title for the text?A. All for a NapB. Just for a RestC. A Special Sleep PatternD. Taking Naps in Warmer ClimateDIn 1943, when I was 4, my parents moved from Coeur d'Alene, Idaho, to Fairbanks, Alaska, where adventure(冒险）was never very far away.We arrived in the summer, just in time to enjoy the midnight sun. All that sunlight was fantastic for Mom's vegetable garden. Working in the garden at midnight tended to throw her timing off, so she didn't care much about my bedtime.Dad was a Railway Express agent and Mom was his clerk. That left me in a mess.I usually managed to find some trouble to get into. Once I had a little fire going in the dirt basement of a hotel. I had tried to light a barrel（桶）of paint but couldn't really get a good fire going. The smoke got pretty bad, though, and when I made my exit, a crowd and the police were there to greet me. The policemen took my matches and drove me home.Mom and Dad were occupied（占据）in the garden and Dad told the police to keep me, and they did! I had a tour of the prison before Mom rescued me.I hadn't turned 5 yet.As I entered kindergarten, the serious cold began to set in. Would it surprise you to know that I soon left part of my tongue on a metal handrail at school?As for Leonhard Seppala, famous as a dog sledder (驾雪橇者), I think I knew him well because I was taken for a ride with his white dog team one Sunday. At the time I didn't realize what a superstar he was, but I do remember the ride well. I was wrapped (包裹) heavily and well sheltered from the freezing weather.In 1950, we moved back to Coeur d'Alene, but we got one more Alaskan adventure when Leonhard invited us eight years later by visiting Idaho to attend a gathering of former neighbors of Alaska.32. What can be inferred about the author's family?A. His father was a cruel man.B. His parents didn't love him.C. His parents used to be very busy.D. His mother didn't have any jobs.33. What happened when the author was 4?A. He learned to smoke.B. He was locked in a basement.C. He was arrested by the police.D. He nearly caused a fire accident.34. Which of the following is true?A. Leonhard was good at driving dog sleds.B. The author spent his whole childhood in Alaska.C. Leonhard often visited the author's family after 1950.D. The author suffered a lot while taking the dog sled in Alaska.35. What is the author's purpose of writing the text?A. To look back on his childhood with adventures.B. To describe the extreme weather of Alaska.C. To express how much he misses Leonhard.D. To show off his pride in making trouble.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，并在答题卡上将该项涂黑。
2018-2019学年河南省名校联盟高一第一次联考英语试题
2018-2019学年河南省名校联盟高一第一次联考英语试题 2018. 10考生注意1.本试卷由四个部分组成。
满分150分，考试时间120分钟。
2.考生作答时，请将答案答在答题卡上。
选择题每小题选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑；非选择题请用直径0.5毫米黑色墨水签字笔在答题卡上各题的答题区域内作答，超出答题区域书写的答案无效，在试卷上、草稿纸上作答无效。
．．．．．．．．．．．．．．．．．．．．．．．．．．．．3.本卷命题范围：必修①第一、二单元第一节。
第一部分听力（共两节，满分30分）第一节（共5小题；每小题1.5分，满分7. 5分）听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下—小题。
每段对话仅读一遍。
1.What is the man going to do?A.To go skating.B. To go skiing.C. To make some plans.2.When does the morning reading lesson start?A.At 7:30.B. At 7：50.C. At 8：00.3.What does the woman think of David?A.He really does like television.B. He spends only a little time on TV.C. He should choose some TV programs to watch.4.How does the man like his new job?A.Rewarding.B. Interesting.C. Hard.5. What does the man mean?A. There is no time to buy a magazine.B. The woman will miss the train.C. The woman left the magazine in the waiting room.第二节（共15小题；每小题1,5分，满分22.5分）听下面5段对话或独白。
河南省豫南九校联考2018-2019学年高一上学期期末考试化学试题(含答案)
豫南九校联考2018-2019学年高一上学期期末考试高一化学试题（考试时间：90分钟试卷满分：100分）可能用到的相对原子质量：H:1 O:16 Na:23 Mg:24 Al:27 Si:28 Cu:64 Zn:65一、选择题（本题共16小题，每小题3分，共48分，每小题只有一个正确选项。
）1.《开宝本草》中记载了KNO3的提纯方法“……所在三泽，冬月地上有霜，打扫以水淋汁后，乃煎炼而成”，这里未涉及．．．到的操作方法是A.升华B.蒸发C.结晶D.溶解2.进行化学实验时应强化安全意识。
下列做法正确的是A.金属钠着火时使用泡沫灭火器灭火B.用试管加热碳酸氢钠固体时使试管口竖直向上C.浓硫酸溅到皮肤上时立即用稀氢氧化钠溶液冲洗D.蒸发操作时，为防止局部过热，要用玻璃棒搅拌3.下列选项对应图示正确的是4.化学与生产、生活及社会发展密切相关，下列有关说法不正确．．．的是A.“血液透析”和“静电除尘”利用了胶体的不同性质B.明矾溶于水能形成胶体，可用作净水剂C.将一片铝箔用火灼烧，铝箔熔化滴落D.在食品袋中盛有硅胶和铁粉的透气小袋，可防止食物受潮、氧化5.下列实验中的颜色变化，与氧化还原反应无关的是6.每年10月23日上午6:02到晚上6:02倍誉为“摩尔日”（Mole Day），这个时间的美式写法为6:02 10/23，外观与阿伏伽德罗常数6.02×1023相似。
设N A为阿伏伽德罗常数的值，下列说法正确的是A.7.8g由Na2S和Na2O2组成的混合物中含有阴离子的数目为0.1N AB.1L0.1mol·L－1碳酸钠溶液中含有的氧原子数为0.3N AC.将100mL 0.1mol·L－1FeCl3溶液滴入沸水中可制得Fe(OH)3胶粒数为0.01N AD.将CO2通过0.1mol Na2O2时，反应共转电子数为移0.2N A7.在下列各溶液中，所给离子一定能大量共存的是A.使酚酞试液变红的溶液：Na＋、Cl－、SO42－、Fe3＋B.小苏打溶液：K＋、SO42－、Cl－、H＋C.与铝反应产生H2的溶液中：Na＋、K＋、CO32－、Cl－D.室温下，强酸性溶液中：Na＋、Fe3＋、NO3－、SO42－8.下列反应对应的离子方程式正确的是A.铁与稀盐酸反应：2Fe+6 H＋=2Fe3＋+ H2↑B.氢氧化钠溶液与醋酸反应：OH－+ H＋=H2OC.锌与硫酸铜溶液反应：Zn+Cu2＋= Zn2＋+CuD.向氯化钙溶液中通入CO2气体：Ca2＋+ CO2+ H2O = CaCO3↓+2H＋9.下列实验过程可以达到实验目的的是10.高纯度晶体硅是典型的无机非金属材料，又称“半导体”材料，它的发现和使用曾引起计算机的一场“革命”。
河南省豫南九校联考2018-2019学年高一上学期期末考试数学试题(解析版)
河南省豫南九校联考2018-2019学年高一上学期期末考试数学试题（解析版）一、选择题（本大题共12小题，共60.0分）1.同学们，当你任意摆放手中笔的时候，那么桌面所在的平面一定存在直线与笔所在的直线A. 平行B. 相交C. 异面D. 垂直【答案】D【解析】解：由题意，笔所在直线若与地面垂直，则在地面总有这样的直线，使得它与笔所在直线垂直若笔所在直线若与地面不垂直，则其必在地面上有一条投影线，在平面中一定存在与此投影线垂直的直线，由三垂线定理知，与投影垂直的直线一定与此斜线垂直综上，当你任意摆放手中笔的时候，那么桌面所在的平面一定存在直线与笔所在的直线垂直．故选：D．由题设条件可知，可以借助投影的概念对及三垂线定理选出正确选项．本题考查空间中直线与平面之间的位置关系，解题的关键是熟练掌握线面垂直与三垂线定理，再结合直线与地面位置关系的判断得出答案．2.已知直线l经过点，且斜率为，则直线l的方程为A. B. C.D.【答案】A【解析】解：直线l经过点，且斜率为，直线l的点斜式方程为，整理得：．故选：A．直接弦长直线方程的点斜式，整理为一般式得答案．本题考查了直线的点斜式方程，考查了点斜式和一般式的互化，是基础题．第 1 页共12 页3.若线段AB的长等于它在平面内的射影长的2倍，则AB所在直线与平面所成的角为A. B. C. D.【答案】C则BC是AB在平面内的射影，是直线与平面所成的角，线段AB的长等于它在平面内的射影长的2倍，，．所在直线与平面所成的角为．故选：C．作，，则BC是AB在平面内的射影，是直线与平面所成的角，由此能求出AB所在直线与平面所成的角．本题考查线面角的求法，考查空间中线线、线面、面面间的位置关系等基础知识，考查推理论证能力、空间想象能力，考查化归与转化思想，是中档题．4.下列函数中，满足““的单调递增函数是A. B. C. D.【答案】A【解析】解：根据题意，依次分析选项：对于A，对于，有，满足，符合题意；对于B，，为对数函数，不满足，不符合题意；对于C，，为指数函数，不满足，不符合题意；对于D，，为指数函数，不满足，不符合题意；故选：A．根据题意，依次分析选项，综合即可得答案．本题考查函数的值的计算，涉及函数单调性的判断，属于基础题．5.若直线：过点，：，则直线与A. 平行B. 相交但不垂直C. 垂直D. 相交于点【答案】C【解析】解：直线：过点，，，直线：的斜率为2，第2页，共12页：的斜率为，直线与：互相垂直．故选：C．利用直线：过点，求出a，求出两条直线的斜率，即可得出结论．本题考查直线方程，考查直线与直线的位置关系，考查学生的计算能力，比较基础．6.将长方体截去一个四棱锥，得到的几何体如图所示，则该几何体的侧视图为A.B.C.D.【答案】D【解析】解：被截去的四棱锥的三条可见棱中，在两条为长方体的两条对角线，它们在右侧面上的投影与右侧面长方形的两条边重合，另一条为体对角线，它在右侧面上的投影与右侧面的对角线重合，对照各图，只有D符合．故选：D．根据三视图的特点，知道左视图从图形的左边向右边看，看到一个正方形的面，在面上有一条对角线，对角线是由左下角都右上角的线，得到结果．本题考查空间图形的三视图，考查侧视图的做法，本题是一个基础题，考查的内容比较简单，可能出现的错误是对角线的方向可能出错．7.已知函数，则A. 4B.C.D.【答案】B【解析】解：，，第 3 页共12 页故选：B．由分段函数及复合函数知，从内向外依次代入求值即可．本题考查了分段函数与复合函数的应用及学生的化简运算能力的应用．8.如图是一个正方体的平面展开图，则在正方体中直线AB与CD的位置关系为A. 相交B. 平行C. 异面而且垂直D. 异面但不垂直【答案】D【解析】解：由该正方体的平面展开图画出它的直观图为：可以看出AB与CD异面；如图，设该正方体一顶点为E，连接CE，DE，则；为异面直线AB，CD的夹角，并且该角为；，CD异面但不垂直．故选：D．根据该正方体的平面展开图画出对应的直观图即可判断AB，CD的位置关系．考查异面直线的概念，异面直线所成角的概念及求法，以及由正方体的平面展开图可以画出它对应的直观图．9.已知函数，且，当时，，方程表示的直线是A.B.C.D.【答案】C【解析】解：函数，且，当时，，，方程，第4页，共12页令可得，可得，，选项正确．故选：C．判断a的范围，利用函数的图象经过的特殊点，判断求解即可．本题考查函数的图象的判断，指数函数的应用，考查计算能力．则在下列命题中，错误的为A.B. 截面PQMNC.D. 异面直线PM与BD所成的角为【答案】C【解析】解：因为截面PQMN是正方形，所以、，则平面ACD、平面BDA，所以，，由可得，故A正确；由可得截面PQMN，故B正确；异面直线PM与BD所成的角等于PM与QM所成的角，故D正确；综上C是错误的．故选：C．首先由正方形中的线线平行推导线面平行，再利用线面平行推导线线平行，这样就把AC、BD平移到正方形内，即可利用平面图形知识做出判断．本题主要考查线面平行的性质与判定．11.已知在上的减函数，则实数a的取值范围是A. B. C. D.【答案】B【解析】解：令，，若，则函，是减函数，由题设知为增函数，需，故此时无解；若，则函数是增函数，则t为减函数，第 5 页共12 页第6页，共12页需 且 ，可解得综上可得实数a 的取值范围是故选：B ．先将函数 转化为 ， ，两个基本函数，再利用复合函数的单调性求解．本题考查复合函数的单调性，关键是分解为两个基本函数，利用同增异减的结论研究其单调性，再求参数的范围．12. 《九章算术》是我国古代著名数学经典 其中对勾股定理的论述比西方早一千多年，其中有这样一个问题：“今有圆材埋在壁中，不知大小 以锯锯之，深一寸，锯道长一尺 问径几何？”其意为：今有一圆柱形木材，埋在墙壁中，不知其大小，用锯去锯该材料，锯口深一寸，锯道长一尺 问这块圆柱形木料的直径是多少？长为1丈的圆柱形木材部分镶嵌在墙体中，截面图如图所示 阴影部分为镶嵌在墙体内的部分 已知弦 尺，弓形高 寸，估算该木材镶嵌在墙中的体积约为 注：1丈 尺 寸， ，A. 600立方寸B. 610立方寸C. 620立方寸D. 633立方寸【答案】D【解析】解：如图，寸 ，则 寸 ， 寸 ， 设圆O 的半径为 寸 ，则 寸 ，在 中，由勾股定理可得： ，解得： 寸 ．，即 ，则 ． 则弓形 的面积平方寸 ． 则算该木材镶嵌在墙中的体积约为 立方寸 ． 故选：D ．由题意画出图形，求出圆柱的底面半径，进一步求出弓形面积，代入体积公式得答案． 本题考查棱柱、棱锥、棱台体积的求法，关键是对题意的理解，是中档题．二、填空题（本大题共4小题，共20.0分）13. 已知直线 ，则直线恒经过的定点______． 【答案】【解析】解：将直线 化简为点斜式，可得 ， 直线经过定点 ，且斜率为k ． 即直线 恒过定点 ．故答案为：．将直线化简成点斜式的形式得：，可得直线的斜率为k且经过定点，从而得到答案．本题给出含有参数k的直线方程，求直线经过的定点坐标着重考查了直线的基本量与基本形式等知识，属于基础题．14.在中，，，，平面ABC，，M是AB上一个动点，则PM的最小值为______．【答案】面ABC，，PH为PM的最小值，而，，．故答案为：要使PM的最小，只需CM最小即可，作于H，连PH，根据线面垂直的性质可知，PH为PM的最小值，在直角三角形PCH中求出PH即可．本题主要考查了点、线、面间的距离计算，考查了空间想象能力，推理论证的能力，属于基础题．15.已知集合，集合，则______．【答案】，【解析】解：解不等式：log2（2x-4）≤1得：0＜2x-4≤2，即：2＜x≤3，即A =，由y=（）x，x，求其值域得：0＜y，即B =，即A∩B =，故答案为：．解对数不等式得：A =，求指数函数值域有：B =，再利用交集及其运算可得解，本题考查了解对数不等式、求指数函数值域及交集及其运算，属简单题16.平面以任意角度截正方体，所截得的截面图形可以是______填上所有你认为正确的序号第7 页共12 页正三边形正四边形正五边形正六边形钝角三角形等腰梯形非矩形的平行四边形【答案】如图：可以画出三边形，但不能画出直角三角形和钝角三角形，故正确，错误；可以画出正四边形，故正确；经过正方体的一个顶点去切就可得到五边形但此时不可能是正五边形，故错误；．正方体有六个面，用平面去截正方体时最多与六个面相交得六边形，且可以画出正六边形，故正确；可以画出梯形但不是直角梯形，故正确．可以画出非矩形的平行四边形，故．故平面以任意角度截正方体，所截得的截面图形可以是：正三边形，正四边形，正六边形，等腰梯形，非矩形的平行四边形．故答案为：．正方体有六个面，用平面去截正方体时最多与六个面相交得正六边形，最少与三个面相交得正三边形，因此用一个平面去截一正方体，截面可能为正三边形，正四边形，正六边形，等腰梯形，非矩形的平行四边形．本题考查平面截正方体的截面图形的判断，考查棱柱的结构特征等基础知识，考查学生的空间想象能力，考查运算求解能力，是中档题．三、解答题（本大题共6小题，共70.0分）17.已知直线l的方程为，直线与l平行且与两坐标轴围成的三角形的面积为4，求直线的方程．【答案】解：由题意可设直线的方程为：，可得与两坐标轴的交点分别为：，则，解得．直线的方程为：．【解析】由题意可设直线的方程为：，可得与两坐标轴的交点，利用三角形面积计算公式即可得出．本题考查了相互平行的直线斜率之间的关系、直线与坐标轴的交点、三角形面积计算公式，考查了推理能力与计算能力，属于基础题．18.设函数．当时，求函数的零点．当时，恒成立，求m的最大值．第8页，共12页【答案】解：时，，由，可得或，则的零点为1或；当时，恒成立，可得在的最小值，由在递增，可得函数y的最小值为3，即有，即m的最大值为3．【解析】求得的解析式，令，解方程可得所求零点；由题意可得在的最小值，由二次函数的单调性可得最小值，即可得到所求m的最大值．本题考查二次函数的零点和二次不等式恒成立问题解法，注意运用转化思想，考查运算能力，属于基础题．19.四面体ABCD及其三视图如图所示，平行于棱AD，BC的平面分别交四面体的棱AB、BD、DC、CA于点E、F、G、H．Ⅰ求四面体ABCD的体积；Ⅱ证明：四边形EFGH是矩形．【答案】Ⅰ解：由题意，，，，，，平面BDC，四面体ABCD的体积；Ⅱ证明：平面EFGH，平面平面，平面平面，，，．同理，，，四边形EFGH是平行四边形，平面BDC，，，四边形EFGH是矩形．【解析】Ⅰ证明平面BDC，即可求四面体ABCD的体积；Ⅱ证明四边形EFGH是平行四边形，，即可证明四边形EFGH是矩形．第9 页共12 页第10页，共12页本题考查线面垂直，考查线面平行性质的运用，考查学生分析解决问题的能力，属于中档题．20. 已知 的顶点 ，AB 边上的中线CM 所在直线方程为 边上的高BH 所在直线为 求： 顶点C 的坐标； 直线BC 的方程．【答案】解：直线AC 的方程为： ， 即 ，解方程组得则C 点坐标为 ． 设 ， 则，，整理得，解得 则B 点坐标为 ，， 即 ．【解析】 先求直线AC 的方程，然后求出C 的坐标．设出B 的坐标，求出M 代入直线方程为 ，与直线为 联立求出B 的坐标然后可得直线BC 的方程．本题考查两条直线的交点，待定系数法求直线方程，是基础题．21. 已知四棱锥 的底面为菱形，且 ， ， ，O 为AB 的中点．Ⅰ 求证： 平面ABCD ； Ⅱ 求点D 到面AEC 的距离．第 11 页 共 12 页【答案】 证明：连接CO为等腰直角三角形为AB 的中点， ， 分又 ， ， 是等边三角形， 分又 ， ，，平面 分解：设点D 到面AEC 的距离为h分 ，E 到面ACB 的距离 ，分点D 到面AEC 的距离为 分 【解析】 连接CO ，利用 为等腰直角三角形，证明 ，利用勾股定理，证明 ，利用线面垂直的判定，可得 平面ABCD ；利用等体积，即 ，从而可求点D 到面AEC 的距离．本题考查线面垂直，考查点到面距离的计算，解题的关键是掌握线面垂直的判定方法，考查等体积的运用，属于中档题．22. 已知函数 ．判断并证明 在 上的单调性；若存在 使得 在 上的值域为 求实数a 的取值范围．【答案】解： 根据题意，函数在 上为增函数；设 ，则，又由，则，，，则，则函数函数在上为增函数；根据题意，由的结论，函数在上为增函数，若存在使得在上的值域为，即，则方程即在区间上有两个不同的根，设，必有，解可得，即a的取值范围为．【解析】根据题意，设，由作差法分析可得结论；根据题意，结合函数的单调性可得，分析可得方程即在区间上有两个不同的根，设，结合二次函数的性质分析可得，解可得a的取值范围，即可得答案．本题考查函数与方程的关系，涉及函数的单调性，属于综合题．第12页，共12页。
2018-2019学年高一上学期期末考试英语试卷含答案
2018-2019学年高一上学期期末考试英语试题第Ⅰ卷(选择题)第二部分阅读理解（共两节，满分30分）第一节（共10小题；每小题2分，满分20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。
A21.Who lost a white cat with two big blue eyes?A. SamB. DavidC. MaryD. Charles22.You need to pay _________ if you buy the book A Christmas Carol now .A. $59.60B. $49.60C. $39.60D. $29.6023.Those ads above are most probably from a ___________.A. mapB. dictionaryC. newspaperD. guidebookBMy First Marathon（马拉松）A month before my first marathon, one of my ankles was injured and this meant not running for two weeks, leaving me only two weeks to train. Yet, I was determined to go ahead.I remember back to my 7th year in school. In my first P.E. class, the teacher required us to run laps and then hit a softball. I didn’t do either well. He later informed me that I was ＂not athletic＂.The idea that I was ＂not athletic＂stuck with me for years. When I started running in my 30s, I realized running was a battle against myself, not about competition or whether or not I was athletic. It was all about the battle against my own body and mind. A test of wills!The night before my marathon, I dreamt that I couldn’t even find the finish line. I woke up sweating and nervous, but ready to prove something to myself.Shortly after crossing the start line, my shoe laces(鞋带) became untied. So I stopped to readjust. Not the start I wanted!At mile 3, I passed a sign: ＂GO FOR IT, RUNNERS!＂By mile 17, I became out of breath and the once injured ankle hurt badly. Despite the pain, I stayed the course walking a bit and then running again.By mile 21, I was starving!As I approached mile 23, I could see my wife waving a sign. She is my biggest fan. She never minded the alarm clock sounding at 4 a.m. or questioned my expenses on running.I was one of the final runners to finish. But I finished! And I got a medal. In fact, I got the same medal as the one that the guy who came in first place had.Determined to be myself, move forward, free of shame and worldly labels(世俗标签), I can now call myself a ＂marathon winner＂.24. A month before the marathon, the author ____________.A. made up his mind to runB. felt scaredC. was well trainedD. lost hope25. Why did the author mention the P.E. class in his 7th year?A. To acknowledge the support of his teacher.B. To amuse the readers with a funny story.C. To show he was not talented in sports.D. To share a precious memory.26. How was the author’s first marathon?A. He quit halfway.B. He made it.C. He got the first prize.D. He walked to the end.27. What does the story mainly tell us?A. A man owes his success to his family support.B. A winner is one with a great effort of will.C. Failure is the mother of success.D. One is never too old to learn.CLast week the British university system offered a record number of places. That sounds like good news—but do we really need more people to go to university? For that matter, does the world need more universities?The answer feels like it should be yes.Education is good, is it not? But everything has a cost.Education takes time. We could insist that everyone study full-time until the age of 45 but that would surely be too much. And perhaps half the population studying until they’r e 21 is also too much. As for universities, they consume financial and intellectual resources—perhaps those resources might be better spent elsewhere.My own personal opinion is strongly in favor both of going to university, and of simply having universities around.The main skill I learnt at university was to write about economics, and I use that skill every day of my professional life, even an abstract education seems practical to me. And I now live in Oxford, one of the world’s most celebrated (著名的) university cities. Oxford’s experience certainly suggests that universities have much to offer.The city’s architecture and green spaces have been shaped—greatly for the better, on balance —by the 900-year-old institution at its heart. The beauty attracts tourists and locals too.But these are samples of one. Many people do not find themselves using the skills and knowledge they accumulated at university. And Oxford’s dreaming spires (尖顶) aren’t terribly representative of global universities as a whole.28. Which of the following is the most proper title?A. Does the world need more universities?B. Is education really necessary?C. Is British university system the best?D. Do you prefer universities abroad?29. Which of the following about the writer is TRUE?A. He is an economist now.B. He likes Oxford’s architecture and green spaces most.C. The skill he learnt at university is practical in his career.D. He holds the view that going to univeristy is a waste of resources.30. The writer develops the passage by ______.A. comparing his experience with others’B. persuading us with his own experience and opinionC. describing and sharing his own university experienceD. informing us of the advantages of universities31. In the following part, the writer is likely to ______.A. list more supporting details about his opinionB. show more disadvantages about going to universitiesC. present some opposite opinions about universitiesD. draw a conclusion about the topicDMore than 10 million Chinese cultural relics have been lost overseas, most of which were stolen and illegally shipped out of China during the times of war before 1949. About 1. 67 million pieces are housed in more than 200 museums in 47 countries, which accounts for 10 percent of all lost Chinese cultural relics, and the rest are in the hands of private collectors.Most of these treasures are owned by museums or private collectors in the United States, Europe, Japan and Southeast Asian countries. There are more than 23,000 pieces in the British Museum, most of which were stolen or bought for pennies more than 100 years ago.The major method to recover these national treasures was to buy them back. In some cases, private collectors donated the relics to the government. Also the government can turn to official channels(渠道) to demand the return of relics.In 2003, a priceless bronze pig's head dating from the Qing Dynasty was returned to its home in Beijing after it was removed by the Anglo-French Allied Army over 140 years ago. Macao entrepreneur(企业家) Stanley Ho donated 6 million yuan to buy it back from a US art collector and then donated it to the Poly Art Museum in Beijing.Although buying-back is the most feasible way to recover the lost treasures, limited funding is always a big headache.In recent years, the Chinese government has improved efforts to recover the precious cultural relics lost overseas. It has started a national project on the recovery of the treasures and has set up a database(数据库) collecting relevantinformation. It has signed several international agreements with many countries onthis matter, and is also looking for international cooperation to recover the relics by working closely with several international organizations.32. What is the passage mainly about?A. How to recover cultural relics.B. The efforts to recover Chinese cultural relics.C. Stanley Ho donated a bronze pig's head to Beijing.D. Chinese cultural relics were stolen by the Anglo-French Allied Army.33. Most of lost Chinese cultural relics .A. have been recovered by the Chinese governmentB. were bought for little money by foreignersC. are owned by private collectorsD. are housed in foreign museums34. Which of the following statements about the bronze pig's head is NOT true?A. It was made in the Qing Dynasty.B. It is now in the Poly Art Museum in Beijing.C. It was donated by the French government to China.D. It was removed by the Anglo-French Allied Army over 140 years ago.35. The underlined word "feasible" in Paragraph 5 can be replaced by " ".A. possibleB. difficultC. popularD. careful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。
河南省豫南九校联考2018-2019学年高一上学期期末考试数学试题 Word版含解析
河南省豫南九校联考2018-2019学年高一上学期期末考试数学试题（解析版）一、选择题。
1.同学们，当你任意摆放手中笔的时候，那么桌面所在的平面一定存在直线与笔所在的直线A. 平行B. 相交C. 异面D. 垂直【答案】D【解析】【分析】由题设条件可知，可以借助投影的概念对及三垂线定理选出正确选项．【详解】解：由题意，若笔所在直线若与地面垂直，则在地面总有这样的直线，使得它与笔所在直线垂直；若笔所在直线若与地面不垂直，则其必在地面上有一条投影线，在平面中一定存在与此投影线垂直的直线，由三垂线定理知，与投影垂直的直线一定与此斜线垂直，综上，当你任意摆放手中笔的时候，那么桌面所在的平面一定存在直线与笔所在的直线垂直．故选：D．【点睛】本题考查空间中直线与平面之间的位置关系，解题的关键是熟练掌握线面垂直与三垂线定理，再结合直线与地面位置关系的判断得出答案．2.已知直线l经过点，且斜率为，则直线l的方程为A. B.C. D.【答案】A【解析】直线经过点，且斜率为，则即故选A3.若线段AB的长等于它在平面内的射影长的2倍，则AB所在直线与平面所成的角为A. B. C. D.【答案】C【解析】【分析】根据图形找到线面角,进而在直角三角形中求解即可.【详解】如图，AC⊥α，AB∩α＝B，则BC是AB在平面α内的射影，则BC＝AB，所以∠ABC ＝60°，它是AB与平面α所成的角．故选C．【点睛】本题主要考查了线面角的求解,属于基础题.4.下列函数中，满足的单调递增函数是A. B. C. D.【答案】A【解析】【分析】根据题意，由依次分析选项，综合即可得答案．【详解】解：根据题意，依次分析选项：对于A，对于，有，满足，符合题意；对于B，，为对数函数，不满足，不符合题意；对于C，，为指数函数，不满足，不符合题意；对于D，，为指数函数，不满足，不符合题意；故选：A．【点睛】本题考查函数的值的计算，涉及函数单调性的判断，属于基础题．5.若直线：过点，：，则直线与A. 平行B. 相交但不垂直C. 垂直D. 相交于点【答案】C【解析】【分析】利用直线：过点，求出a，求出两条直线的斜率，即可得出结论．【详解】解：直线：过点，，，直线：的斜率为2，：的斜率为，直线与：互相垂直．故选：C．【点睛】本题考查直线方程，考查直线与直线的位置关系，考查学生的计算能力，比较基础．6.将长方体截去一个四棱锥，得到的几何体如图所示，则该几何体的侧视图为A. B.C. D.【答案】C【解析】解：将长方体截去一个四棱锥,得到的几何体中可以从左向右看得到,则该几何体的侧视图为D7.已知函数，则=（）A. 4B.C.D.【答案】B【解析】【分析】根据分段函数的解析式，代入求解，即可得到答案.【详解】由题意，函数，则，所以，选B.【点睛】本题主要考查了分段函数的求值问题，其中解答中正确把握分段函数的解析式，根据分段条件代入求解是解答的关键，着重考查了推理与运算能力，属于基础题.8.如图是一个正方体的平面展开图，则在正方体中直线AB与CD的位置关系为A. 相交B. 平行C. 异面而且垂直D. 异面但不垂直【答案】D【解析】解：利用展开图可知，线段AB与CD是正方体中的相邻两个面的面对角线，仅仅异面，所成的角为600，因此选D9.已知函数，且，当时，，方程表示的直线是A. B.C. D.【答案】C【解析】∵f(x)=a x,且x<0时,f(x)>1,∴0<a<1,>1.又∵y=ax+在x轴、y轴上的截距分别为-和,且|-|>,故C项图符合要求.10.如图，在四面体ABCD中，截面PQMN是正方形，则在下列命题中，错误的是（）A. B. 截面PQMNC. D. 异面直线PM与BD所成的角为【答案】C【解析】【分析】首先由正方形中的线线平行推导线面平行，再利用线面平行推导线线平行，这样就把AC、BD 平移到正方形内，即可利用平面图形知识做出判断．【详解】解：因为截面PQMN是正方形，所以、，则平面ACD、平面BDA，所以，，由可得，故A正确；由可得截面PQMN，故B正确；异面直线PM与BD所成的角等于PM与QM所成的角，故D正确；综上C是错误的．故选：C．【点睛】本题主要考查线面平行的性质与判定．11.已知在上的减函数，则实数a的取值范围是A. B. C. D.【答案】B【解析】【分析】先将函数转化为，，两个基本初等函数，再利用复合函数的单调性求解．【详解】解：令，，若，则函，是减函数，由题设知为增函数，需，故此时无解；若，则函数是增函数，则t为减函数，需且，可解得综上可得实数a的取值范围是故选：B．【点睛】本题考查复合函数的单调性，关键是分解为两个基本函数，利用同增异减的结论研究其单调性，再求参数的范围．12.九章算术是我国古代著名数学经典其中对勾股定理的论述比西方早一千多年，其中有这样一个问题：“今有圆材埋在壁中，不知大小以锯锯之，深一寸，锯道长一尺问径几何？”其意为：今有一圆柱形木材，埋在墙壁中，不知其大小，用锯去锯该材料，锯口深一寸，锯道长一尺问这块圆柱形木料的直径是多少？长为1丈的圆柱形木材部分镶嵌在墙体中，截面图如图所示阴影部分为镶嵌在墙体内的部分已知弦尺，弓形高寸，估算该木材镶嵌在墙中的体积约为( )(注：1丈尺寸，，)A. 600立方寸B. 610立方寸C. 620立方寸D. 633立方寸【答案】D【解析】【分析】由三角形，利用勾股定理可得半径，进而得，再利用，乘以高即可得体积.【详解】连接，设⊙的半径为，则，所以.由于，所以，即.所以平方寸．∴该木材镶嵌在墙中的体积为立方寸，故选D．【点睛】本题主要考查了垂径定理和勾股定理及扇形的面积公式，柱体的体积公式，属于中档题二、填空题。
2018-2019学年人教版高中英语高一上学期期末考试模拟测试题及答案-精编试题
2018-2019学年人教版高中英语高一上学期期末考试模拟测试题及答案-精编试题第一学期期末学业水平监测高一英语注意事项：1．本试卷分为第Ｉ卷﹙选择题﹚和第Ｉ卷﹙非选择题﹚两部分，共10页。
第Ｉ卷第1至第8页；第Ｉ卷第9至10页。
满分150分，考试时间120分钟。
2．答题前，请你务必将自己的姓名，准考证号用黑色墨水的0.5毫米签字笔填写在答题卡（卷）密封线内。
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第Ⅰ卷（共三部分，满分90分）第一部分听力（共两节，满分30分）第一节（共5小题；每小题1.5分，满分7.5分）听下面５段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
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1.What will the woman do?A。
Stay in doors.B。
Have a walk.C。
Get a coat.2.What will the speakers order?A。
XXX andcoke.3.How did the woman know about the fire?A。
She read about it.B。
She witnessed it.C。
She saw it on TV.4.What is the man worried about?A。
The match may be delayed.B。
Their car may go out of control.C。
They arrive late for the game.5.What does the man mean?A。
河南省豫南九校联考2018-2019学年高一上学期期末考试数学试题及答案
河南省豫南九校联考2018-2019学年高一上学期期末考试数学试题一、选择题（本大题共12小题，共60.0分）1.同学们，当你任意摆放手中笔的时候，那么桌面所在的平面一定存在直线与笔所在的直线A. 平行B. 相交C. 异面D. 垂直2.已知直线l经过点，且斜率为，则直线l的方程为A. B. C. D.3.若线段AB的长等于它在平面内的射影长的2倍，则AB所在直线与平面所成的角为A. B. C. D.4.下列函数中，满足““的单调递增函数是A. B. C. D.5.若直线：过点，：，则直线与A. 平行B. 相交但不垂直C. 垂直D. 相交于点6.将长方体截去一个四棱锥，得到的几何体如图所示，则该几何体的侧视图为A. B. C. D.7.已知函数，则A. 4B.C.D.8.如图是一个正方体的平面展开图，则在正方体中直线AB与CD的位置关系为A. 相交B. 平行C. 异面而且垂直D. 异面但不垂直9.已知函数，且，当时，，方程表示的直线是A. B. C. D.10.如图，在四面体ABCD中，截面PQMN是正方形，则在下列命题中，错误的为A.B. 截面PQMNC.D. 异面直线PM与BD所成的角为11.已知在上的减函数，则实数a的取值范围是A. B. C. D.12.《九章算术》是我国古代著名数学经典其中对勾股定理的论述比西方早一千多年，其中有这样一个问题：“今有圆材埋在壁中，不知大小以锯锯之，深一寸，锯道长一尺问径几何？”其意为：今有一圆柱形木材，埋在墙壁中，不知其大小，用锯去锯该材料，锯口深一寸，锯道长一尺问这块圆柱形木料的直径是多少？长为1丈的圆柱形木材部分镶嵌在墙体中，截面图如图所示阴影部分为镶嵌在墙体内的部分已知弦尺，弓形高寸，估算该木材镶嵌在墙中的体积约为注：1丈尺寸，，A. 600立方寸B. 610立方寸C. 620立方寸D. 633立方寸二、填空题（本大题共4小题，共20.0分）13.已知直线，则直线恒经过的定点______．14.在中，，，，平面ABC，，M是AB上一个动点，则PM的最小值为______．15.已知集合，集合，则______．16.平面以任意角度截正方体，所截得的截面图形可以是______填上所有你认为正确的序号正三边形正四边形正五边形正六边形钝角三角形等腰梯形非矩形的平行四边形三、解答题（本大题共6小题，共70.0分）17.已知直线l的方程为，直线与l平行且与两坐标轴围成的三角形的面积为4，求直线的方程．18.设函数．当时，求函数的零点．当时，恒成立，求m的最大值．19.四面体ABCD及其三视图如图所示，平行于棱AD，BC的平面分别交四面体的棱AB、BD、DC、CA于点E、F、G、H．Ⅰ求四面体ABCD的体积；Ⅱ证明：四边形EFGH是矩形．20.已知的顶点，AB边上的中线CM所在直线方程为边上的高BH所在直线为求：顶点C的坐标；直线BC的方程．21.已知四棱锥的底面为菱形，且，，，O为AB的中点．Ⅰ求证：平面ABCD；Ⅱ求点D到面AEC的距离．22.已知函数．判断并证明在上的单调性；若存在使得在上的值域为求实数a的取值范围．河南省豫南九校联考2018-2019学年高一上学期期末考试数学试题（解析版）一、选择题（本大题共12小题，共60.0分）23.同学们，当你任意摆放手中笔的时候，那么桌面所在的平面一定存在直线与笔所在的直线A. 平行B. 相交C. 异面D. 垂直【答案】D【解析】解：由题意，笔所在直线若与地面垂直，则在地面总有这样的直线，使得它与笔所在直线垂直若笔所在直线若与地面不垂直，则其必在地面上有一条投影线，在平面中一定存在与此投影线垂直的直线，由三垂线定理知，与投影垂直的直线一定与此斜线垂直综上，当你任意摆放手中笔的时候，那么桌面所在的平面一定存在直线与笔所在的直线垂直．故选：D．由题设条件可知，可以借助投影的概念对及三垂线定理选出正确选项．本题考查空间中直线与平面之间的位置关系，解题的关键是熟练掌握线面垂直与三垂线定理，再结合直线与地面位置关系的判断得出答案．24.已知直线l经过点，且斜率为，则直线l的方程为A. B. C. D.【答案】A【解析】解：直线l经过点，且斜率为，直线l的点斜式方程为，整理得：．故选：A．直接弦长直线方程的点斜式，整理为一般式得答案．本题考查了直线的点斜式方程，考查了点斜式和一般式的互化，是基础题．25.若线段AB的长等于它在平面内的射影长的2倍，则AB所在直线与平面所成的角为A. B. C. D.【答案】C【解析】解：如图，，垂足为C，，则BC是AB在平面内的射影，是直线与平面所成的角，线段AB的长等于它在平面内的射影长的2倍，，．所在直线与平面所成的角为．故选：C．作，，则BC是AB在平面内的射影，是直线与平面所成的角，由此能求出AB所在直线与平面所成的角．本题考查线面角的求法，考查空间中线线、线面、面面间的位置关系等基础知识，考查推理论证能力、空间想象能力，考查化归与转化思想，是中档题．26.下列函数中，满足““的单调递增函数是A. B. C. D.【答案】A【解析】解：根据题意，依次分析选项：对于A，对于，有，满足，符合题意；对于B，，为对数函数，不满足，不符合题意；对于C，，为指数函数，不满足，不符合题意；对于D，，为指数函数，不满足，不符合题意；故选：A．根据题意，依次分析选项，综合即可得答案．本题考查函数的值的计算，涉及函数单调性的判断，属于基础题．27.若直线：过点，：，则直线与A. 平行B. 相交但不垂直C. 垂直D. 相交于点【答案】C【解析】解：直线：过点，，，直线：的斜率为2，：的斜率为，直线与：互相垂直．故选：C．利用直线：过点，求出a，求出两条直线的斜率，即可得出结论．本题考查直线方程，考查直线与直线的位置关系，考查学生的计算能力，比较基础．28.将长方体截去一个四棱锥，得到的几何体如图所示，则该几何体的侧视图为A. B. C. D.【答案】D【解析】解：被截去的四棱锥的三条可见棱中，在两条为长方体的两条对角线，它们在右侧面上的投影与右侧面长方形的两条边重合，另一条为体对角线，它在右侧面上的投影与右侧面的对角线重合，对照各图，只有D符合．故选：D．根据三视图的特点，知道左视图从图形的左边向右边看，看到一个正方形的面，在面上有一条对角线，对角线是由左下角都右上角的线，得到结果．本题考查空间图形的三视图，考查侧视图的做法，本题是一个基础题，考查的内容比较简单，可能出现的错误是对角线的方向可能出错．29.已知函数，则A. 4B.C.D.【答案】B【解析】解：，，故选：B．由分段函数及复合函数知，从内向外依次代入求值即可．本题考查了分段函数与复合函数的应用及学生的化简运算能力的应用．30.如图是一个正方体的平面展开图，则在正方体中直线AB与CD的位置关系为A. 相交B. 平行C. 异面而且垂直D. 异面但不垂直【答案】D【解析】解：由该正方体的平面展开图画出它的直观图为：可以看出AB与CD异面；如图，设该正方体一顶点为E，连接CE，DE，则；为异面直线AB，CD的夹角，并且该角为；，CD异面但不垂直．故选：D．根据该正方体的平面展开图画出对应的直观图即可判断AB，CD的位置关系．考查异面直线的概念，异面直线所成角的概念及求法，以及由正方体的平面展开图可以画出它对应的直观图．31.已知函数，且，当时，，方程表示的直线是A. B. C. D.【答案】C【解析】解：函数，且，当时，，，方程，令可得，可得，，选项正确．故选：C．判断a的范围，利用函数的图象经过的特殊点，判断求解即可．本题考查函数的图象的判断，指数函数的应用，考查计算能力．32.如图，在四面体ABCD中，截面PQMN是正方形，则在下列命题中，错误的为A.B. 截面PQMNC.D. 异面直线PM与BD所成的角为【答案】C【解析】解：因为截面PQMN是正方形，所以、，则平面ACD、平面BDA，所以，，由可得，故A正确；由可得截面PQMN，故B正确；异面直线PM与BD所成的角等于PM与QM所成的角，故D正确；综上C是错误的．故选：C．首先由正方形中的线线平行推导线面平行，再利用线面平行推导线线平行，这样就把AC、BD平移到正方形内，即可利用平面图形知识做出判断．本题主要考查线面平行的性质与判定．33.已知在上的减函数，则实数a的取值范围是A. B. C. D.【答案】B【解析】解：令，，若，则函，是减函数，由题设知为增函数，需，故此时无解；若，则函数是增函数，则t为减函数，需且，可解得综上可得实数a的取值范围是故选：B．先将函数转化为，，两个基本函数，再利用复合函数的单调性求解．本题考查复合函数的单调性，关键是分解为两个基本函数，利用同增异减的结论研究其单调性，再求参数的范围．34.《九章算术》是我国古代著名数学经典其中对勾股定理的论述比西方早一千多年，其中有这样一个问题：“今有圆材埋在壁中，不知大小以锯锯之，深一寸，锯道长一尺问径几何？”其意为：今有一圆柱形木材，埋在墙壁中，不知其大小，用锯去锯该材料，锯口深一寸，锯道长一尺问这块圆柱形木料的直径是多少？长为1丈的圆柱形木材部分镶嵌在墙体中，截面图如图所示阴影部分为镶嵌在墙体内的部分已知弦尺，弓形高寸，估算该木材镶嵌在墙中的体积约为注：1丈尺寸，，A. 600立方寸B. 610立方寸C. 620立方寸D. 633立方寸【答案】D【解析】解：如图，寸，则寸，寸，设圆O的半径为寸，则寸，在中，由勾股定理可得：，解得：寸．，即，则．则弓形的面积平方寸．则算该木材镶嵌在墙中的体积约为立方寸．故选：D．由题意画出图形，求出圆柱的底面半径，进一步求出弓形面积，代入体积公式得答案．本题考查棱柱、棱锥、棱台体积的求法，关键是对题意的理解，是中档题．二、填空题（本大题共4小题，共20.0分）35.已知直线，则直线恒经过的定点______．【答案】【解析】解：将直线化简为点斜式，可得，直线经过定点，且斜率为k．即直线恒过定点．故答案为：．将直线化简成点斜式的形式得：，可得直线的斜率为k且经过定点，从而得到答案．本题给出含有参数k的直线方程，求直线经过的定点坐标着重考查了直线的基本量与基本形式等知识，属于基础题．36.在中，，，，平面ABC，，M是AB上一个动点，则PM的最小值为______．【答案】【解析】解：如图，作于H，连PH，面ABC，，PH为PM的最小值，而，，．故答案为：要使PM的最小，只需CM最小即可，作于H，连PH，根据线面垂直的性质可知，PH为PM的最小值，在直角三角形PCH中求出PH即可．本题主要考查了点、线、面间的距离计算，考查了空间想象能力，推理论证的能力，属于基础题．37.已知集合，集合，则______．【答案】，【解析】解：解不等式：log2（2x-4）≤1得：0＜2x-4≤2，即：2＜x≤3，即A=，由y=（）x，x，求其值域得：0＜y，即B=，即A∩B=，故答案为：．解对数不等式得：A=，求指数函数值域有：B=，再利用交集及其运算可得解，本题考查了解对数不等式、求指数函数值域及交集及其运算，属简单题38.平面以任意角度截正方体，所截得的截面图形可以是______填上所有你认为正确的序号正三边形正四边形正五边形正六边形钝角三角形等腰梯形非矩形的平行四边形【答案】【解析】解：画出截面图形如图：可以画出三边形，但不能画出直角三角形和钝角三角形，故正确，错误；可以画出正四边形，故正确；经过正方体的一个顶点去切就可得到五边形但此时不可能是正五边形，故错误；．正方体有六个面，用平面去截正方体时最多与六个面相交得六边形，且可以画出正六边形，故正确；可以画出梯形但不是直角梯形，故正确．可以画出非矩形的平行四边形，故．故平面以任意角度截正方体，所截得的截面图形可以是：正三边形，正四边形，正六边形，等腰梯形，非矩形的平行四边形．故答案为：．正方体有六个面，用平面去截正方体时最多与六个面相交得正六边形，最少与三个面相交得正三边形，因此用一个平面去截一正方体，截面可能为正三边形，正四边形，正六边形，等腰梯形，非矩形的平行四边形．本题考查平面截正方体的截面图形的判断，考查棱柱的结构特征等基础知识，考查学生的空间想象能力，考查运算求解能力，是中档题．三、解答题（本大题共6小题，共70.0分）39.已知直线l的方程为，直线与l平行且与两坐标轴围成的三角形的面积为4，求直线的方程．【答案】解：由题意可设直线的方程为：，可得与两坐标轴的交点分别为：，则，解得．直线的方程为：．【解析】由题意可设直线的方程为：，可得与两坐标轴的交点，利用三角形面积计算公式即可得出．本题考查了相互平行的直线斜率之间的关系、直线与坐标轴的交点、三角形面积计算公式，考查了推理能力与计算能力，属于基础题．40.设函数．当时，求函数的零点．当时，恒成立，求m的最大值．【答案】解：时，，由，可得或，则的零点为1或；当时，恒成立，可得在的最小值，由在递增，可得函数y的最小值为3，即有，即m的最大值为3．【解析】求得的解析式，令，解方程可得所求零点；由题意可得在的最小值，由二次函数的单调性可得最小值，即可得到所求m的最大值．本题考查二次函数的零点和二次不等式恒成立问题解法，注意运用转化思想，考查运算能力，属于基础题．41.四面体ABCD及其三视图如图所示，平行于棱AD，BC的平面分别交四面体的棱AB、BD、DC、CA于点E、F、G、H．Ⅰ求四面体ABCD的体积；Ⅱ证明：四边形EFGH是矩形．【答案】Ⅰ解：由题意，，，，，，平面BDC，四面体ABCD的体积；Ⅱ证明：平面EFGH，平面平面，平面平面，，，．同理，，，四边形EFGH是平行四边形，平面BDC，，，四边形EFGH是矩形．【解析】Ⅰ证明平面BDC，即可求四面体ABCD的体积；Ⅱ证明四边形EFGH是平行四边形，，即可证明四边形EFGH是矩形．本题考查线面垂直，考查线面平行性质的运用，考查学生分析解决问题的能力，属于中档题．42.已知的顶点，AB边上的中线CM所在直线方程为边上的高BH所在直线为求：顶点C的坐标；直线BC的方程．【答案】解：直线AC的方程为：，即，解方程组得则C点坐标为．设，则，，整理得，解得则B点坐标为，，即．【解析】先求直线AC的方程，然后求出C的坐标．设出B的坐标，求出M代入直线方程为，与直线为联立求出B的坐标然后可得直线BC的方程．本题考查两条直线的交点，待定系数法求直线方程，是基础题．43.已知四棱锥的底面为菱形，且，，，O为AB的中点．Ⅰ求证：平面ABCD；Ⅱ求点D到面AEC的距离．【答案】证明：连接CO为等腰直角三角形为AB的中点，，分又，，是等边三角形，分又，，，平面分解：设点D到面AEC的距离为h分，E到面ACB的距离，分点D到面AEC的距离为分【解析】连接CO，利用为等腰直角三角形，证明，利用勾股定理，证明，利用线面垂直的判定，可得平面ABCD；利用等体积，即，从而可求点D到面AEC的距离．本题考查线面垂直，考查点到面距离的计算，解题的关键是掌握线面垂直的判定方法，考查等体积的运用，属于中档题．44.已知函数．判断并证明在上的单调性；若存在使得在上的值域为求实数a的取值范围．【答案】解：根据题意，函数在上为增函数；设，则，又由，则，，，则，则函数函数在上为增函数；根据题意，由的结论，函数在上为增函数，若存在使得在上的值域为，即，则方程即在区间上有两个不同的根，设，必有，解可得，即a的取值范围为．【解析】根据题意，设，由作差法分析可得结论；根据题意，结合函数的单调性可得，分析可得方程即在区间上有两个不同的根，设，结合二次函数的性质分析可得，解可得a的取值范围，即可得答案．本题考查函数与方程的关系，涉及函数的单调性，属于综合题．。