辽宁省辽阳市2017-2018学年高一英语下学期期末考试试卷【word版】.doc

第一部分听力（共两节，20小题；每小题0.5分，满分10分）第一节听下面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.What does the woman think of Lucy?A.Kind.B.Noisy.C.Talkative.2.When will the man leave his house?A.At 7:00.B.At 7:15.C.At 7:30.3.What is the woman going to do?A.Tell children stories.B.Take part in a beauty contest.C.Act as a judge fora beauty contest.4.What language is mostly used in the man's classes?A.The students' language.B.English.C.Both languages in tum.5.How did the man get pocket money as a child?A.By behaving well.B.By doing housework.C.By doing part-time jobs.第二节听下面5段对话或对白，每段对话或独白后有几个小题，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，听每段对话或独白前，你将有时间阅读各个小题。

每小题5秒钟；听完后，各小题给出5秒钟的作答时间。

每段对话或独白读两遍。

听第6段材料，回答第6至7题。

6.What are the speakers mainly talking about?A.How to fry eggs.B.How to make cakes.C.How to fry bread.7.What does the woman ask the man to do after adding a little milk?A.Put a piece of bread in the egg.B.Break two eggs in a bowl.C.Heat a frying pan.听第7段材料，回答第8至10题。

2024学年辽宁省辽阳市二中学教育协作中考英语押题卷含答案注意事项1．考生要认真填写考场号和座位序号。

2．试题所有答案必须填涂或书写在答题卡上，在试卷上作答无效。

第一部分必须用2B 铅笔作答；第二部分必须用黑色字迹的签字笔作答。

3．考试结束后，考生须将试卷和答题卡放在桌面上，待监考员收回。

Ⅰ. 单项选择1、I think Journey to the West is ______ of all the Chinese novels.A．interesting B．more interestingC．most interesting D．the most interesting2、The _______ of staying healthy is to eat healthy food and exercise more.A．place B．secret C．time D．game3、We visited Jokhang Temple and PotalaPalace, and also saw many ____ people and some other places of______ . A．interested; interested B．interested; interest C．interesting; interested D．interesting; interest4、Lily’s father often ________ newspapers after dinner.A．looks B．sees C．reads D．watches5、－Did you see a man in black pass by just now?－No, sir. I a newspaper.A．read B．was reading C．would read D．am reading6、Hurry up, Mike. You must get to the airport an hour before the plane________.A．gets off B．turns off C．puts off D．takes off7、special class we had today! We learned about kung fu.A．How B．What C．How a D．What a8、— The accident was really terrible.— Y es, it was. The young man on the bicycle was too ________.A．careful B．careless C．carefully D．carelessly9、---The two old friends were ____ busy ____ with each other that they forgot the time.---Yes. They hadn’t met for over ten years, so they kept talking the whole night.A．too; to talk B．too; talking C．so; to talk D．so; talking;10、To protect the environment, supermarkets don’t ________ free plastic bags to shoppers.A．take B．show C．provide D．carryⅡ. 完形填空11、Overhead bridges are found in some parts of Anyue，especially in places 1 traffic is heavy and crossing the road is very 2 .The purpose of these overhead bridges is to enable pedestrians(行人) to 3 road safely. Overhead bridges are used in very much the same way 4 zebra crossings. They are more efficient(有效的) although less convenient 5people have to climb up a long flight of steps. This is inconvenient especially to old people. When pedestrians are 6a zebra crossing，traffic is held up. This is 7 the government has built some overhead bridges to help pedestrians and 8 traffic moving 9 the same time.The government of Anyue has 10 lots of money in building these bridges. For their own safety，pedestrians 11 be encouraged to use them instead of 12 their lives by running across the road. Old people，however，may find 13 a little difficult to climb up and down the steps，but it is still 14 safer than walking across the road with all the danger of moving traffic.Overhead bridges serve a very useful purpose. Pedestrians，both old and young，should form a 15 of using them，This will prevent unnecessary accidents and loss of life.1．（小题1）A．where B．when C．that D．who2．（小题2）A．safe B．danger C．dangerous D．safety3．（小题3）A．crossing B．cross C．crosses D．crossed4．（小题4）A．in B．for C．to D．as5．（小题5）A．because B．because of C．and D．so6．（小题6）A．useful B．using C．used D．use7．（小题7）A．when B．because C．that D．why8．（小题8）A．keeps B．kept C．to keep D．keep9．（小题9）A．at B．to C．for D．in10．（小题10）A．spend B．spent C．spending D．been spent11．（小题11）A．shouldn’t B．won’t C．should D．might12．（小题12）A．risking B．risk C．risked D．risks13．（小题13）A．this B．that C．them D．it14．（小题14）A．many B．more C．much D．very15．（小题15）A．habit B．hobby C．habits D．hobbiesⅢ. 语法填空12、A：Li Ping, have you seen the science fiction film “The Wandering Earth”（流浪地球）recently?B：Yes, I have. I saw it during the Spring Festival.A：It was reported that the film was great. What does it tell about?B：It tells a story about 1．humans, threatened（威胁）by a dying and swelling sun, build very large engines to push the planet out of the solar system, starting a centuries-long journey in search of a new sun.A：Y ou mean our earth is in great danger and we should try to save it, right?B：Yes, quite right. As we all know, with the 2．of modern agriculture and industry, more and more pollution is produced. We all should have a strong sense of 3．protection. Or we humans won’t find places to live in.A：Sure. But in your opinion, what 4．of pollution are there?B：There are many. The most important ones are water, air and land pollution.A：Can you tell me what caused water pollution and how we should solve these problems？B：As we can see, people are 5．litter into the river and factories are putting waste into the river, so water is polluted.I think we should require our government to close down those factories and call on people to clean up the river and 6．every kind of pollution.A：Do you have any ideas for solving the air pollution?B：Well, to cut down air pollution, we should take the bus or subway instead of driving. Of course, riding a bike is also a good choice. It’s good for health and it 7．costs anything!A：What else can we do to help save the earth?B：Nothing is waste if we have a 8．mind. We can put those things we don’t need to good use. We can rethink, reuse and recycle them!A：Any good examples to share with me?B：We can learn from Amy Hays, a most unusual woman in the UK. She lives in a house that she built 9．out of rubbish. Jessica Wong from Hong Kong made handbags by using old clothes, especially old jeans. Both of them are good at recycling and they are a(n) 10．to us all.A：They’re great! If only we join together to fight against pollution and learn to recycle, we will make a difference and lead to a better earthⅣ. 阅读理解A13、Once in a small village, there was a place known as the House of 1,000 Mirrors.A small, happy little dog learned about this place and decided to visit. When he arrived, he jumped happily up the stairs and to the doorway of the house. He looked through the doorway. His ears lifted up, and his tail wagged as fast as it could. To his great surprise, he found himself looking at 1,000 other happy little dogs with their tails wagging just as fast as his. He smiled a great smile and was answered with 1,000 great smiles that were just warm and friendly. As he left the house, he thought to himself, “This is a wonderful place. I will come back to visit often.”In this same village, another little dog, who was not quite as happy as the other one, decided to visit the house. He slowlyclimbed the stairs and hung his head low as he looked into the doorway. When he saw the 1,000 unfriendly-looking dogs looking back at him, he growled at them. He was scared when he saw 1,000 little dogs growling back. As he left, he thoug ht to himself, “”.All the faces in the world are mirrors of you. What kind of reflections (反映) do you see in the faces of people you meet? 1．The first dog wanted to visit the house often because _____.A．he liked the mirrors there B．he made many friends thereC．he felt he was welcomed there D．he got lots of knowledge there2．Why was the second dog scared when he entered the house?A．Because he didn’t know there were 1,000 mirrors.B．Because he found that the dogs looked sad.C．Because everything was strange to him.D．Because he saw so many dogs growling at him.3．What can be filled in the blank “” in paragraph 3?A．It is a boring place. I will never go back again.B．It is a challenging place. I can go back next time.C．That is a terrible place. I will never go back there again.D．This is a wonderful place. I will come back to visit often.4．What can we learn from the story?A．Mirrors can tell what kind of person you are.B．If you show life a smile, life will smile back.C．Everyone in the world should believe in each other.D．Happy people are more popular than unhappy ones.B14、Miss Bailey taught me English in Junior school. She cycled to school, and then when entering the school gate, she would gave her bicycle to anyone of us to park it for her. It was a privilege（特别恩典）when Miss Bailey gave her bicycle to you. One day Shankar stood at the gate, Shankar was a hunchback（驼背的人）.We laughed and said, “Move out of the way, Shankar! Miss Bailey is going to enter!” Miss Bailey drove in and we allr ushed to offer our hands to her. But Miss Bailey looked past us all. “Will you park it for me?” she asked. We looked back to see who it was and were surprised to see it was towards Shankar. “I don’t think so, Miss Bailey!” stammered （结结巴巴地说）Shankar. “Why! Y ou lazy fellow!” said Miss Bailey playfully. “You don’t want to help your teacher, do you?” “ Of course I want to, Miss Bailey!” whispered Shankar. “But I might drop your cycle!” “ If you drop it ,you pickit up!” said the teacher with a smile.With that she gave her cycle to Shankar and didn’t look to see how he’d manage. Pretending she had confidence in his abilities, Miss Bailey turned and walked to class. We watched Shankar as he held her bike, we held our breath as we thought it was going to fall. Din es rushed to help. “Leave it!” Shankar said, and we all stopped. It seemed that his hump （驼背）disappeared as he drew himself up to his full height, and then with growing confidence, he pushed Miss Bailey’s cycle to the parking lot. The school bell rang, and we rushed to class. Shankar was the last to enter, but we were surprised; it was a different boy who walked in.Miss Bailey didn’t even look at him as he walked to her and handed her the key. From that day on, Shankar was ready to answer the questions in class, his grades went up and a smile appeared on his face.1．Miss Bailey go to school________.A．by bus B．by bike. C．by taxi. D．on foot2．When Shankar entered the classroom after parking the bike, ________A．Miss Bailey praised himB．his classmates cheeredC．his hump disappearedD．he was full of confidence3．It can be inferred（推断）from the passage that Bailey _______.A．lived a comfortable lifeB．had no pity on ShankarC．was hard on her studentsD．treated every student fairlyC15、My 10-year-old Donna said, "Mom, I made a new friend at school today. Can she come over tomorrow?" Donna wasa shy girl and I wanted her to make some friends to bring her out of her shell."Sure, honey, that sounds great." I said, thinking back to my own best friend, Lillian. We lived across the street from each other in Washington Heights, New York. We met at the age of 10, too. Like my daughter, I was shy, but Lillian drew me out. She was one of the friendliest people in school, with shiny black hair and a big smile.In senior high school, Lillian went on a trip to Florida. This was the first time we had to be away from each other for a few days. "I'll be back soon." she told me. But three days later, Lillian's sister told me that she had fallen into a river and hadn't come out any more. Soon, my family moved to New Jersey. Whenever I thought of her, tears came into my eyes.The next day Donna brought her new friend home. "Hi, Mrs. Loggia." the little girl said. Her hair was so shiny and black and she smiled brightly. "My name is Laura."My daughter's new friend was so much like Lillian. I was still puzzled(迷惑)when Laura's mom came to pick her up later that afternoon. I opened the door to let her in. "Judy!" she cried. "It's me, Lillian’s sister, from Washington Heights.” Y es, my daughter's friend looked familiar(熟悉). Lillian is her aunt.1．The underlined phrase in the first paragraph “to bring her out of her shell” means “__________”.A．to help her live happily B．to help her become smartC．to help her walk out of her house D．to help her become less shy2．Laura looked familiar to the writer because she __________A．was Donna's good friend B．was from Washington HeightsC．was as old as her daughter D．had shiny black hair and a big smile, too3．Why did the writer lose her best friend?A．Because she moved to New Jersey. B．Because her best friend travelled to Florida.C．Because her best friend lost her life on a trip. D．Because they were different from each other.4．What can we infer(推断)from the passage?A．Laura is as outgoing as her aunt Lillian.B．Laura and Donna are both in the high school.C．Donna and Laura have been friends for a long time.D．Judy moved to New Jersey because of Lillian's death.D16、One day, I took an underground to work, I saw something that made me very sad.On the tube (underground in London), a mother kept looking at her phone screen and playing a game with her daughter sitting beside her. The little girl, about 5 years old,was talking to her mother about her day, repeating the next stop’s name cheerfully,prais ing her mother’s long nails —trying to catch her mother’s attention. Her mother just nodded and answered “Mm, hm” with her eyes glued to the screen, busy passing the levels of the game. I watched the girl give a final try to at least get her mum to look at her, but it was no use. Then the little girl turned silent. It was a shame the motherdidn’t notice that.It broke my heart and got me wondering — what kind of game would make the mother forget she has the most beautiful thing in the world, the human she created, the person she loves with all her heart? What it meant when she couldn’t look into her daughter’s eyes and even stop to listen to the girl?Some parents are almost like the teenagers, always on their phones with mindless games or going through WeChat.Perhaps parents have many things to deal with, but sometimes they are everything to their kids.This is not an only example. I’ve seen too many such examples. I might not be a parent myself, and probably still have a long way before becoming one, but I know what I saw isn’t right.The scene used to be seen among teenagers very often when parents complained how their children were crazy about their mobile phones. Look how the situation has changed! The parents have become “technology slaves (奴隶)”, that is to say, they can’t control themselves while using mobile phones. Now some middle-aged parents hold the best iPhones or Samsung phones, which are probably the only two brands they know. They are playing the simple games with so expensive mobile phones. I’m uncertain whether to laugh or to cry. But my hope is that this storm passes. 1．The little girl turned silent because she failed to _____.A．stop to listen to her mumB．catch her mother’s attentionC．know the brand of her mobile phoneD．control herself while using mobile phone2．In the passage, the writer mainly wants to express _____.A．the hope that parents use new technology properlyB．the happiness that parents can use modern technologyC．the sadness that parents have many things to deal withD．the worries that children are crazy about mobile phones3．Which of the following would be the best title for the passage?A．Technology Slaves B．Middle-aged ParentsC．A Scene on the Tube D．Mindless Phone GamesE17、Alicia Keys was born in 1981 and grew up in New York. She had music and dance classes when she was a child and she first appeared on TV in the Cosby Show at the age of four. She started piano lessons when she was seven and learned classical music before she began to write her own songs at the age of 14.Alicia signed a contract with J Records in 1999. She recorded several songs for films before her first album, Songs in Minor, came out in 2001. This was a fantastic success. It entered the charts at number one, sold 236,000 copies in its first week, and went on to sell over 12 million copies worldwide. Alicia won five big awards, includingSong of the Year for Fallin’, the album’s top single, which was a number one hit for six weeks.Since then, Alicia has sold over 30 million albums. She has also become an actress and a record producer with her own studio. She plays the piano as well as singing on all her albums and she has written some great songs for other artists.She has performed in TV programmes and she made her first film, Smokin’ Aces, in 2007. Her otherfilms include The Nanny Diaries (2007) and The Secret Life of Bees (2008),’1．Which of the following statements is NOT true when Alicia Keys was a child?A．She lived in New York.B．She took classical music lessons.C．She learned dancing and singing.D．She often appeared on television.2．When did Alicia start writing songs?A．In 1995B．In 1999C．At the Cosby ShowD．At the age of seven3．The underlined words Song of the Year for Fallin’ in the second paragraph refers to?A．A number one album in 2001.B．The top sale album copies in a week.C．The name of a hero in Songs in A Minor.D．The song which was at the top of the charts for weeks.4．What has Alicia done since 2001?A．She has opened her own studio.B．She has started playing the piano.C．She has recorded all her songs herself.D．She made her first film The Nanny Diaries.5．Which of the following shows the right order of what happened to Alicia?①Made the film Smokin’ Aces②Signed a contract with J Records③Appeared on TV in The Cosby Show④Songs in A Minor sold 236,000 copies ⑤Become an actress and a record producerA．③④②⑤①B．③①④②⑤C．③⑤④②①D．③②④⑤①F18、With only fish and birds for company, Eric Erden has been rowing across the Pacific Ocean to Australia in his23-foot-long boat since he left California on July 10, 2009.But crossing the Pacific is only part of his incredible journey. Eric has decided to go all the way around the world using only his own energy. He will row, bike, and walk without help from any motors at all. Oh, and his plan includes climbing the tallest peak on six of the continents along the way, to honour the memory of a fellow climber.He says he is doing this to show kids that they can achieve any goal, but he hopes to have some great adventures along the way.As a solo traveller, Eric has already faced disappointments and challenges. Because he has to row about ten hours a day, he brought along an MP3 player to listen to music and pass the time. Unfortunately, the nearly daily tropical rain for several months has forced him to keep his player packed away where it's safe and dry.Storms and huge wave wind regularly force him in the wrong direction and even threaten to overturn his boat. “Sometimes I really feel scared,” says a somewhat embarrassed Eric. “But that’s all part of the journey. I knew this wouldn’t be easy when I started. That's why I gave myself two years to finish.”Protein bars（蛋白棒）give him energy, and he boils water to heat freeze-dried meals on a one-burner stove. Asolar-powered machine removes salt from ocean water so he can drink it, but only when the sun shines. When that fails he sometimes tries to collect rainwater in buckets.He’s not bothered by any of the hardships. Eric sees the world as a laboratory where there is much to learn. And when his trip around the world takes him across land, he enjoys meeting people - especially children. He has already visited several schools and shared his story.1．Why is Eric making this trip?A．To encourage children to reach for their goal.B．To learn more about the world around us.C．To have many great adventures in strange lands.D．To honour the memory of a fellow climber.2．What does Eric plan to do on each of the six continents he will visit?A．Visit schools to share his story.B．Study the culture of the local people.C．Climb the tallest mountain.D．Cycle from one end to the other.3．When does Eric expect to finish his journey?A．July 2009. B．June 2010.C．January 2011. D．July 2011.4．Which of the following words best describe s Eric’s character?A．Determined. B．Intelligent.C．Fearless. D．Lonely.Ⅴ.书面表达19、假设你们学校正在举办一场名为“中国梦，我的梦” 的主题活动，请你根据以下信息，用英语写一篇短文描述自己的梦想。

2017—2018学年上期期末考试九年级英语试题卷注意：本试卷分试题卷和答题卡两部分．考试试卷100分钟，满分120分。

考生应首先阅读试题卷及答题卡上的相关信息，然后在答题卡上作答，在试题卷上作答无效。

交卷时只交答题卡。

一、听力理解（20小题，每小题1分，共20分）第一节听下面五段对话。

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，井在答题卡上将该项涂黑。

每段对话读两遍。

1. What is the man?A. A servant.B. A waiter.C. A director.2. What happened to Mary?A. She missed the train.B. She took the wrong seat.C. She lost her wallet.3. How is the school now?A. It’s not as good as it was.B. It’s better than it used to be.C. It’s wo rse than people say.4. When will the movie start?A. At 10 o’clock.B. At 10:30.C. At 10:50.5. What did the woman advise the man to do?A. Go to see a doctor at once.B. Give up solving the problem.C. Be patient with the problem.第二节听下面几段对话或独白。

每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳答案，并将其标号填入题前括号内。

每段对话或独白读两遍。

听下面一段对话，回答第6至第8三个小题。

6. Who sent the scarf to Tina?A. Her mother.B. Her boyfriend.C. Her brother.7. Where does Tina come from?A. Sydney.B. London.C. New York.8. Who are the two speakers?A. Relatives.B. Neighbors.C. Classmates.听下面一段独白，回答第9至第10两个小题。

2019-2020学年辽宁省辽阳市高一第二学期期末数学试卷一、选择题（共12小题）.1．sin（﹣480°）等于（）A．﹣B．C．﹣D．2．一个几何体有6个顶点，则这个几何体可能是（）A．三棱柱B．四棱锥C．四棱柱D．五棱台3．已知复数z满足z（1+i）＝2i8，则z的虚部为（）A．1B．i C．﹣1D．﹣i4．在△ABC中，角A，B，C所对的边分别为a，b，c．已知b═3，c＝2，A＝，则a＝（）A．5B．C．29D．5．平面向量＝（1，m），＝（﹣1，），且|﹣|＝||，则||＝（）A．B．C．D．6．在△ABC中，角A，B，C所对的边分别为a，b，c．已知A＝，B＝，a＝2，则△ABC的面积为（）A．B．9﹣3C．D．3+97．如图，在直三棱柱ABC﹣A1B1C1中，四边形BCC1B1为正方形，BC＝2AB＝4，AB⊥BC，则异面直线AC1与BC所成角的余弦值为（）A．B．C．D．8．下列函数中，周期为π的奇函数是（）A．y＝cos B．y＝sin（2x+3π）C．y＝cos（π+2x）D．y＝|cos（x﹣）|9．如图，在△ABC中，＝3，＝3，则＝（）A．+B．+C．+D．+10．已知直线x＝是函数f（x）＝sin2+sinωx﹣（0＜ω≤8）图象的一条对称轴，则ω＝（）A．2B．4C．6D．811．已知正方形ABCD的边长是4，将△ABC沿对角线AC折到△AB'C的位置，连接B'D．在翻折过程中，给出以下结论：①AB'⊥平面B'CD恒成立；②三棱锥B'﹣ACD的外接球的表面积始终是32π；③当二面角B'﹣AC﹣D为时，B'D＝4；④三棱锥B'﹣ACD体积的最大值是．其中结论正确的个数是（）A．1B．2C．3D．412．将函数y＝sin x的图象向右平移个单位长度，再将横坐标缩短为原来的（ω＞0）得到函数y＝f（x）的图象，若y＝f（x）在[0，]上的最大值为，则ω的取值个数为（）A．1B．2C．3D．4二、填空题：本大题共4小题，每小题5分，共20分把答案填在答题卡中的横线上. 13．已知扇形的半径与面积都为2，则这个扇形的圆心角的弧度数是．14．在复平面内，复数z＝2i对应的点为Z，将向量绕原点O按逆时针方向旋转，所得向量对应的复数是．15．已知点P（1，3）是角α终边上的一点，则tan（α+）＝．16．已知O为△ABC内一点，且满足+3+5＝，延长AO交BC于点D．若＝λ，则λ＝．三、解答题：本题共6小题，共70分要求写出必要的文字说明和解题过程．17．在△ABC中，角A，B，C的对边分别为a，b，c，在①b cos A cos C＝a sin B sin C﹣b；②b sin B cos C+c sin2B＝a cos B；③+a＝2c这三个条件中任选一个，补充在下面问题中，并作答．已知D是BC上的一点，BC＝2BD＞AB，AD＝2，AB＝6，若____，求△ACD的面积．注：如果选择多个条件分别解答，按第一个解答计分．18．如图，在长方体ABCD﹣A1B1C1D1中，BC＝CC1，E，F，G，H分别是棱AB，AA1，CC1，C1D1的中点．（1）证明：C1E⊥B1C．（2）证明：平面DEF∥平面B1GH．19．已知单位向量，的夹角为，向量＝λ﹣，向量＝2+3．（1）若∥，求λ的值；（2）若⊥，求||．20．已知向量＝（cos（x﹣），sin（x﹣）），向量＝（，﹣1），函数f（x）＝•．（1）求f（x）的最大值；（2）若f（﹣α），f（﹣α）是关于x的方程25x2﹣10x+t＝0的两根，且α∈（0，π），求+及t的值．21．如图，在四棱锥P﹣ABCD中，PA⊥平面ABCD，四边形ABCD是矩形，PA＝AB＝2，AD＝4，E是PB的中点，AF⊥PC，垂足为F．（1）证明：PD∥平面ACE．（2）求三棱锥A﹣CEF的体积．22．已知函数f（x）＝A sin（ωx+φ）（A＞0，ω＞0，|φ|＜）的部分图象如图所示．（1）求A，ω和φ的值；（2）求函数y＝f（x）在[1，2]上的单调递减区间；（3）若函数y＝f（x）在区间[a，b]上恰有2020个零点，求b﹣a的取值范围．参考答案一、选择题：本大题共12小题，每小题5分，共60分在每小题给出的四个选项中，只有一项是符合题目要求的.1．sin（﹣480°）等于（）A．﹣B．C．﹣D．【分析】所求式子中的角度变形后，利用诱导公式化简即可得到结果．解：sin（﹣480°）＝﹣sin480°＝﹣sin（360°+120°）＝﹣sin120°＝﹣．故选：C．2．一个几何体有6个顶点，则这个几何体可能是（）A．三棱柱B．四棱锥C．四棱柱D．五棱台【分析】通过棱锥，棱柱，棱台的顶点个数，判断选项即可．解：三棱柱上下两个平面都是三角形，有6个顶点，满足题意，A正确；四棱锥5个顶点，B不正确；四棱柱，有8的顶点，C不正确；五棱台有10个顶点，D不正确；故选：A．3．已知复数z满足z（1+i）＝2i8，则z的虚部为（）A．1B．i C．﹣1D．﹣i【分析】把已知等式变形，再由复数代数形式的乘除运算化简得答案．解：由z（1+i）＝2i8＝2，得z＝，∴z的虚部为﹣1．故选：C．4．在△ABC中，角A，B，C所对的边分别为a，b，c．已知b═3，c＝2，A＝，则a＝（）A．5B．C．29D．【分析】直接利用余弦定理求出结果．解：已知b═3，c＝2，A＝，利用余弦定理：a2＝b2+c2﹣2bc cos A＝9+8﹣，解得a＝．故选：B．5．平面向量＝（1，m），＝（﹣1，），且|﹣|＝||，则||＝（）A．B．C．D．【分析】本题先对|﹣|＝||两边进行平方，转化成向量进行计算，化简整理可得，然后根据向量内积的坐标运算可解出m的值，即可计算出||的值．解：依题意，由|﹣|＝||，可得|﹣|2＝||2，即（﹣）2＝（）2，化简整理，得，∴1×（﹣1）+m×＝0，解得m＝，∴＝（1，），∴||＝＝．故选：A．6．在△ABC中，角A，B，C所对的边分别为a，b，c．已知A＝，B＝，a＝2，则△ABC的面积为（）A．B．9﹣3C．D．3+9【分析】由已知利用正弦定理可得b的值，根据两角和的正弦函数公式，三角形的面积公式即可计算得解．解：∵A＝，B＝，a＝2，∴由正弦定理，可得b＝＝＝3，∴S△ABC＝ab sin C＝ab sin（A+B）＝ab（sin cos+cos sin）＝（）＝．故选：C．7．如图，在直三棱柱ABC﹣A1B1C1中，四边形BCC1B1为正方形，BC＝2AB＝4，AB⊥BC，则异面直线AC1与BC所成角的余弦值为（）A．B．C．D．【分析】由BC∥B1C1，得∠AC1B1是异面直线AC1与BC所成角（或所成角的补角），连结AB1，推导出B1C1⊥A1B1，B1C1⊥BB1，从而得到B1C1⊥平面ABB1A1，B1C1⊥AB1，由此能求出异面直线AC1与BC所成角的余弦值．解：在直三棱柱ABC﹣A1B1C1中，∵BC∥B1C1，∴∠AC1B1是异面直线AC1与BC所成角（或所成角的补角），如图，连结AB1，∵四边形BCC1B1为正方形，BC＝2AB＝4，AB⊥BC，∴B1C1⊥A1B1，B1C1⊥BB1，∵A1B1∩BB1＝B1，∴B1C1⊥平面ABB1A1，∴B1C1⊥AB1，AB1＝＝2，AC1＝＝6，∴cos∠AC1B1＝，∴异面直线AC1与BC所成角的余弦值为．故选：C．8．下列函数中，周期为π的奇函数是（）A．y＝cos B．y＝sin（2x+3π）C．y＝cos（π+2x）D．y＝|cos（x﹣）|【分析】根据题意，依次分析选项中函数的奇偶性与周期性，综合即可得答案．解：根据题意，依次分析选项：对于A，y＝cos＝﹣sin，是奇函数，周期T＝＝4π，不符合题意；对于B，y＝sin（2x+3π）＝﹣sin2x，是奇函数，周期T＝＝π，符合题意；对于C，y＝cos（π+2x）＝cos x，是偶函数，不符合题意；对于D，y＝|cos（x﹣）|＝|sin x|，是偶函数，不符合题意；故选：B．9．如图，在△ABC中，＝3，＝3，则＝（）A．+B．+C．+D．+【分析】根据条件＝，结合＝3，代入化简可得＝，再由向量加法法则可得答案解：因为＝3，即有＝，因为＝3，所以＝，则＝＝（）＝，所以＝＝，故选：A．10．已知直线x＝是函数f（x）＝sin2+sinωx﹣（0＜ω≤8）图象的一条对称轴，则ω＝（）A．2B．4C．6D．8【分析】首先通过三角函数关系式的变换，把函数的关系式变形成正弦型函数，进一步利用函数的性质的应用求出结果．解：函数f（x）＝sin2+sinωx﹣＝ωx）+ωx﹣＝sin （ωx﹣），令：ω﹣＝（k∈Z），解得ω＝4+（k∈Z），由于0＜ω≤8，所以ω＝4．故选：B．11．已知正方形ABCD的边长是4，将△ABC沿对角线AC折到△AB'C的位置，连接B'D．在翻折过程中，给出以下结论：①AB'⊥平面B'CD恒成立；②三棱锥B'﹣ACD的外接球的表面积始终是32π；③当二面角B'﹣AC﹣D为时，B'D＝4；④三棱锥B'﹣ACD体积的最大值是．其中结论正确的个数是（）A．1B．2C．3D．4【分析】对于①，若AB′⊥平面B′CD，则AB′⊥CD，推导出平面AB′D⊥平面ACD，在翻折过程中，B′始终在BD正上方，平面AB′D⊥平面ACD不成立；对于②，取AC中点O，推导出三棱锥B′﹣ACD的外接球半径R＝2，其表面积S ＝32π；对于③，当二面角B′﹣AC﹣D为时，OB′⊥OD，从而B′D＝4；对于④，当平面B′AC⊥平面ACD时，三棱锥B′﹣ACD的体积取最大值．解：对于①若AB′⊥平面B′CD，则AB′⊥CD，∵CD⊥AD，∴CD⊥平面AB′D，∵CD⊂平面ACD，∴平面AB′D⊥平面ACD，∵在翻折过程中，B′始终在BD正上方，不可能在AD正上方，∴平面AB′D⊥平面ACD不成立，故①错误；对于②，取AC中点O，∵ABCD是正方形，∴OA＝OB＝OB′＝OC＝OD＝2，则三棱锥B′﹣ACD的外接球半径R＝2，其表面积S＝4πR2＝32π，故②正确；对于③，当二面角B′﹣AC﹣D为时，OB′⊥OD，∴B′D＝，故③正确；对于④，当平面B′AC⊥平面ACD时，三棱锥B′﹣ACD的体积取最大值，最大值为×42×＝，故④正确．故选：C．12．将函数y＝sin x的图象向右平移个单位长度，再将横坐标缩短为原来的（ω＞0）得到函数y＝f（x）的图象，若y＝f（x）在[0，]上的最大值为，则ω的取值个数为（）A．1B．2C．3D．4【分析】利用函数图象的平移与伸缩变换求得f（x）的解析式，再由x的范围求得ωx ﹣的范围，结合y＝f（x）在[0，]上的最大值为，分类求解得答案．解：将函数y＝sin x的图象向右平移个单位长度，可得y＝sin（x﹣）的图象．再将横坐标缩短为原来的（ω＞0）得到函数y＝f（x）＝sin（ωx﹣）的图象，∵x∈[0，]上，∴ωx﹣∈[﹣，π]，当π≥，即ω≥4时，则＝1，求得ω＝5．当π＜，即0＜ω＜4时，由题意可得sinπ＝，作出函数y＝sin[（x﹣1）]与y＝的图象如图：由图可知，此时函数y＝sin[（x﹣1）]与y＝的图象有唯一交点，则sinπ＝有唯一解．综上，ω的取值个数为2．故选：B．二、填空题：本大题共4小题，每小题5分，共20分把答案填在答题卡中的横线上. 13．已知扇形的半径与面积都为2，则这个扇形的圆心角的弧度数是1．【分析】设扇形的圆心角为α，由此求出弧长和面积，列方程求得α的值．解：设扇形的圆心角为α，则弧长l＝2α，所以扇形的面积为：S＝rl＝×2×2α＝2，解得α＝1．故答案为：1．14．在复平面内，复数z＝2i对应的点为Z，将向量绕原点O按逆时针方向旋转，所得向量对应的复数是．【分析】把复数2i直接乘以旋转复数cos+i sin得答案．解：复数z＝2i对应的点为Z，将向量绕原点O按逆时针方向旋转，所得复数为2i（cos+i sin）＝2i（）＝﹣+i．故答案为：+i．15．已知点P（1，3）是角α终边上的一点，则tan（α+）＝﹣2．【分析】直接利用三角函数的定义和和角公式的运用求出结果．解：点P（1，3）是角α终边上的一点，所以tanα＝3，则：＝﹣2．故答案为：﹣216．已知O为△ABC内一点，且满足+3+5＝，延长AO交BC于点D．若＝λ，则λ＝．【分析】条件可整理为＝+，结合＝λ，得到＝+，设＝k，列出关于λ，k的方程组，解之即可．解：因为+3+5＝，所以+5（）＝，所以9＝3+5，则＝+，因为＝λ，即﹣＝λ（），所以＝+，设＝k＝+，则，解得，故答案为：．三、解答题：本题共6小题，共70分要求写出必要的文字说明和解题过程．17．在△ABC中，角A，B，C的对边分别为a，b，c，在①b cos A cos C＝a sin B sin C﹣b；②b sin B cos C+c sin2B＝a cos B；③+a＝2c这三个条件中任选一个，补充在下面问题中，并作答．已知D是BC上的一点，BC＝2BD＞AB，AD＝2，AB＝6，若____，求△ACD的面积．注：如果选择多个条件分别解答，按第一个解答计分．【分析】若选择①，利用正弦定理，两角差的余弦函数公式化简已知等式，结合sin B≠0，可求cos B＝，结合范围B∈（0，π），可求B＝；若选择②，利用三角函数恒等变换的应用化简已知等式，结合sin A≠0，可求tan B＝，结合范围B∈（0，π），可求B＝；若选择③，利用两角和的正弦函数公式化简已知等式，结合sin C≠0，可得cos B＝，结合范围B∈（0，π），可求B＝，在△ABD中，由余弦定理可得BD的值，进而根据三角形的面积公式即可计算求解．解：若选择①，则sin B cos A cos C＝sin A sin B sin C﹣sin B，因为sin B≠0，所以cos A cos C﹣sin A sin C＝﹣，即cos（A+C）＝﹣，因为B＝π﹣（A+C），所以cos（A+C）＝﹣cos B＝﹣，即cos B＝，因为B∈（0，π），所以B＝．若选择②，则sin2B cos C+sin C sin2B＝sin A cos B，即sin2B cos C+sin C sin B cos B＝sin A cos B，可得sin B sin（B+C）＝sin A cos B，可得sin B sin A＝sin A cos B，因为sin A≠0，可得sin B＝cos B，可得tan B＝，因为B∈（0，π），所以B＝．若选择③，则sin B cos A+sin A cos B＝2sin C cos B，即sin（B+A）＝2sin C cos B，可得sin C ＝2sin C cos B，因为sin C≠0，可得cos B＝，因为B∈（0，π），所以B＝，在△ABD中，由余弦定理可得AD2＝AB2+BD2﹣2AB•BD•cos B，可得28＝36+BD2﹣2×，解得BD＝4，或2，因为BC＝2BD＞AB＝6，所以BD＝4，所以BC＝2BD＝8，所以S△ACD＝S△ABD＝AB•BD•sin B＝＝6．18．如图，在长方体ABCD﹣A1B1C1D1中，BC＝CC1，E，F，G，H分别是棱AB，AA1，CC1，C1D1的中点．（1）证明：C1E⊥B1C．（2）证明：平面DEF∥平面B1GH．【分析】（1）连接BC1，可证四边形BCC1B1为正方形，得B1C⊥BC1，再由AB⊥平面BCC1B1，得AB⊥B1C，利用直线与平面垂直的判定可得B1C⊥平面BEC1，从而得C1E ⊥B1C；（2）由E，F，G，H分别是AB，AA1，CC1，C1D1的中点，可得EF∥GH，ED∥B1H，由直线与平面平行的判定可得EF∥平面B1GH，同理可证ED∥平面B1GH，由平面与平面平行的判定可得平面DEF∥平面B1GH．【解答】证明：（1）连接BC1，EC1，在长方体ABCD﹣A1B1C1D1中，∵BC＝CC1，∴四边形BCC1B1为正方形，则B1C⊥BC1，又AB⊥平面BCC1B1，∴AB⊥B1C，∵AB∩BC1＝B，AB，BC1⊂平面BEC1，∴B1C⊥平面BEC1，而C1E⊂平面BEC1，∴C1E⊥B1C；（2）∵E，F，G，H分别是AB，AA1，CC1，C1D1的中点，∴可得EF∥GH，ED∥B1H，∵EF⊄平面B1GH，GH⊂平面B1GH，∴EF∥平面B1GH，同理可证ED∥平面B1GH，∵ED∩EF＝E，ED，EF⊂平面DEF，∴平面DEF∥平面B1GH．19．已知单位向量，的夹角为，向量＝λ﹣，向量＝2+3．（1）若∥，求λ的值；（2）若⊥，求||．【分析】（1）由题意利用两个向量共线的性质，求出λ的值．（2）由题意利用两个向量垂直的性质，求出λ的值，可得，从而求出||．解：（1）∵单位向量，的夹角为，∴与不共线．∵向量＝λ﹣，向量＝2+3，若∥，则＝，∴λ＝﹣．（2）若⊥，∵•＝1×1×cos＝﹣．∴•＝（λ﹣）•（2+3）＝2λ+（3λ﹣2）•﹣3＝2λ+（3λ﹣2）•（﹣）﹣3＝0，求得λ＝4，∴＝4﹣，∴||＝＝＝＝．20．已知向量＝（cos（x﹣），sin（x﹣）），向量＝（，﹣1），函数f（x）＝•．（1）求f（x）的最大值；（2）若f（﹣α），f（﹣α）是关于x的方程25x2﹣10x+t＝0的两根，且α∈（0，π），求+及t的值．【分析】（1）通过向量的数量积以及两角和与差的三角函数化简函数的解析式，结合三角函数的最值求解即可．（2）利用方程的根，推出三角函数关系式，然后转化求解表达式的值即可．解：（1）向量＝（cos（x﹣），sin（x﹣）），向量＝（，﹣1），函数f（x）＝•＝cos（x﹣）﹣sin（x﹣）＝2cos（x﹣+）＝2cos x，所以函数f（x）的最大值为2．（2）f（﹣α），f（﹣α）是关于x的方程25x2﹣10x+t＝0的两根，即2cosα与2sinα，α∈（0，π），是关于x的方程25x2﹣10x+t＝0的两根，所以2cosα+2sinα＝，4cosαsinα＝，因为（cosα+sinα）2＝1+2cosαsinα，所以，解得t＝﹣48．所以+＝＝sinα+cosα＝．21．如图，在四棱锥P﹣ABCD中，PA⊥平面ABCD，四边形ABCD是矩形，PA＝AB＝2，AD＝4，E是PB的中点，AF⊥PC，垂足为F．（1）证明：PD∥平面ACE．（2）求三棱锥A﹣CEF的体积．【分析】（1）连结BD，交AC于H，连结EH，推导出EH∥PD，由此能证明PD∥平面ACE．（2）推导出PA⊥BC，BC⊥AB，BC⊥平面PAB，BC⊥AE，AE⊥PB，PC⊥平面AEF，由此能求出三棱锥A﹣CEF的体积．解：（1）证明：连结BD，交AC于H，连结EH，∵四边形ABCD是矩形，∴H是BD的中点，∵E是PB的中点，∴EH∥PD，∵EH⊂平面ACE，PD⊄平面ACE，∴PD∥平面ACE．（2）∵在四棱锥P﹣ABCD中，PA⊥平面ABCD，四边形ABCD是矩形，∴PA⊥BC，BC⊥AB，又PA∩AB＝A，∴BC⊥平面PAB，∵AE⊂平面PAB，∴BC⊥AE，∵PA＝AB＝2，且E是PB的中点，∴AE⊥PB，且AE＝，∵AF⊥PC，且AE∩AF＝A，∴PC⊥平面AEF，在Rt△PAC中，PA＝2，AC＝＝2，则PC＝＝2，∵AF⊥PC，∴AF＝＝＝，则EF＝＝，CF＝＝，∴三棱锥A﹣CEF的体积：V＝＝＝．22．已知函数f（x）＝A sin（ωx+φ）（A＞0，ω＞0，|φ|＜）的部分图象如图所示．（1）求A，ω和φ的值；（2）求函数y＝f（x）在[1，2]上的单调递减区间；（3）若函数y＝f（x）在区间[a，b]上恰有2020个零点，求b﹣a的取值范围．【分析】（1）有图象可得A＝1，T＝2，进而求得ω＝π，令x＝，则π+φ＝+2kπ（k∈Z），结合|φ|＜，可求得φ；（2）由（1）求得f（x）解析式，令+2kπ≤πx﹣≤+2kπ，k∈Z，解之即可；（3）条件转化为f（x）在[）上有两个零点，即可得b﹣a取值范围．解：（1）由题可得A＝1，T＝2（）＝2，则＝π，当x＝时，f（x）取得最大值，则π+φ＝+2kπ（k∈Z），所以φ＝﹣+2kπ（k∈Z），又因为|φ|＜，故φ＝﹣；（2）由（1）可知f（x）＝sin（πx﹣），令+2kπ≤πx﹣≤+2kπ，k∈Z，则≤x≤，k∈Z，故f（x）的单调递减区间为[，]（k∈Z），则f（x）在[1，2]上的单调递减区间为[1，]；（3）令f（x）＝sin（πx﹣）＝0，则πx﹣＝kπ，解得x＝k+，k∈Z，所以f（x）在[）上有两个零点，因为f（x）周期为2，若函数y＝f（x）在区间[a，b]上恰有2020个零点，则1009×2+1≤b﹣a＜1010×2，解得b﹣a的取值范围为[2019，2020）．。

高一年级下学期月考试题英语试题2018.6第Ⅰ卷（满分100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）请听下面5段对话，选出最佳选项。

1．What will the woman do next?A．Help the man. B．Finish her homework. C．Watch a program.2．What does the woman mean?A．It’s too cold this winter.B．Cold beer is harmful to health.C．The man should drink less beer.3．How much does the man have to pay?A．$90. B．$162. C．$180.4．Why does the man have so many clocks?A．He has trouble getting up. B．He often forgets about time.C．He likes collecting clocks.5．What can we infer about the speakers?A．They’ve known each other.B．They’re having coffee together.C．They think the coffee shop too small.第二节（共15小题；每小题1.5分，满分22.5分）请听下面1段对话或独白，选出最佳选项，回答第6、7题。

6．What does the woman offer to do for the man?A．Call his boss. B．Prepare for his trip. C．Record the program.7．What will the man do tomorrow?A．Go on a business trip. B．Attend a meeting. C．Take a vacation.请听下面1段对话或独白，选出最佳选项，回答第8、9题。

2017-2018学年高一下学期期中数学试卷一、选择题（共12小题，每小题5分，满分60分）1．下列说法中正确的是（）A．共线向量的夹角为0°或180°B．长度相等的向量叫做相等向量C．共线向量就是向量所在的直线在同一直线上D．零向量没有方向2．下列函数中为奇函数的是（）A．y=sin|x| B．y=sin2x C．y=﹣sinx+2 D．y=sinx+13．已知角的终边经过点（4，﹣3），则tanα=（）A．B．﹣ C．D．﹣4．函数y=cos（4x﹣π）的最小正周期是（）A．4πB．2πC．πD．5．在直角坐标系中，直线3x+y﹣3=0的倾斜角是（）A．B．C． D．6．函数的单调递减区间（）A．（k∈Z）B．（k∈Z）C．（k∈Z）D．（k∈Z）7．函数y=3sin（2x+）+2图象的一条对称轴方程是（）A．x=﹣B．x=0 C．x=πD．8．下列选项中叙述正确的是（）A．终边不同的角同一三角函数值可以相等B．三角形的内角是第一象限角或第二象限角C．第一象限是锐角D．第二象限的角比第一象限的角大9．如果点P（sinθcosθ，2cosθ）位于第二象限，那么角θ所在象限是（）A．第一象限 B．第二象限 C．第三象限 D．第四象限10．向量+++化简后等于（）A．B．C．D．11．已知函数y=Asin（ωx+φ）+B的一部分图象如图所示，如果A＞0，ω＞0，|φ|＜，则（）A．A=4 B．ω=1 C．φ=D．B=412．给出下列说法：①终边相同的角同一三角函数值相等；②在三角形中，若sinA=sinB，则有A=B；③不论是用角度制还是用弧度制度量一个角，它们与扇形的半径的大小无关；④若sinα=sinβ，则α与β的终边相同；⑤若cos θ＜0，则θ是第二或第三象限的角．其中正确说法的个数是（）A．1 B．2 C．3 D．4二、填空（本大题共4小题，每小题5分，共20分．）13．以点（0，2）和（4，0）为端点的线段的中垂线的方程是．14．圆x2+y2=4上的点到直线3x+4y﹣25=0的距离最小值为．15．已知=， =， =， =， =，则+++﹣= ．16．已知tan（）=，tan（）=﹣，则tan（）= ．三、解答题（本大题共6小题，17题10分其余每题12分共70分）17．已知角α的终边经过一点P（5a，﹣12a）（a＞0），求2sinα+cosα的值．18．已知△ABC的三个顶点A（0，4），B（﹣2，6），C（8，2）；（1）求AB边的中线所在直线方程．（2）求AC的中垂线方程．19．若圆经过点A（2，0），B（4，0），C（1，2），求这个圆的方程．20．已知cosα=，cos（α﹣β）=，且0＜β＜α＜，（1）求tan2α的值；（2）求cosβ的值．21．已知函数f（x）=Asin（ωx+φ）（A＞0，ω＞0，|φ|＜π）的部分图象如图所示，（Ⅰ）求函数的解析式；（Ⅱ）求函数的对称轴方程和对称中心坐标．22．已知函数f（x）=sin2ωx+sinωx•cosωx﹣1（ω＞0）的周期为π．（1）当x∈[0，]时，求f（x）的取值范围；（2）求函数f（x）的单调递增区间．2017-2018学年高一下学期期中数学试卷参考答案与试题解析一、选择题（共12小题，每小题5分，满分60分）1．下列说法中正确的是（）A．共线向量的夹角为0°或180°B．长度相等的向量叫做相等向量C．共线向量就是向量所在的直线在同一直线上D．零向量没有方向【考点】向量的物理背景与概念．【分析】根据共线向量、平行向量、相等向量以及零向量的概念便可判断每个说法的正误，从而找出正确选项．【解答】解：A．共线向量的方向相同或相反；方向相同时，夹角为0°，相反时的夹角为180°，∴该说法正确；B．长度相等，方向相同的向量叫做相等向量，∴该说法错误；C．平行向量也叫共线向量，∴共线向量不是向量所在直线在同一直线上；∴该说法错误；D．零向量的方向任意，并不是没有方向，∴该说法错误．故选：A．2．下列函数中为奇函数的是（）A．y=sin|x| B．y=sin2x C．y=﹣sinx+2 D．y=sinx+1【考点】函数奇偶性的判断．【分析】要探讨函数的奇偶性，先求函数的定义域，判断其是否关于原点对称，然后探讨f（﹣x）与f（x）的关系，即可得函数的奇偶性．【解答】解：选项A，定义域为R，sin|﹣x|=sin|x|，故y=sin|x|为偶函数．选项B，定义域为R，sin（﹣2x）=﹣sin2x，故y=sin2x为奇函数．选项C，定义域为R，﹣sin（﹣x）+2=sinx+2，故y=sinx+2为非奇非偶函数偶函数．选项D，定义域为R，sin（﹣x）+1=﹣sinx+1，故y=sinx+1为非奇非偶函数，故选：B．3．已知角的终边经过点（4，﹣3），则tanα=（）A．B．﹣ C．D．﹣【考点】任意角的三角函数的定义．【分析】根据三角函数的定义进行求解即可．【解答】解：∵角α的终边经过点P（4，﹣3），∴tanα==，故选：B．4．函数y=cos（4x﹣π）的最小正周期是（）A．4πB．2πC．πD．【考点】三角函数的周期性及其求法．【分析】根据余弦函数的最小正周期的求法，将ω=4代入T=即可得到答案．【解答】解：∵y=cos（4x﹣π），∴最小正周期T==．故选：D．5．在直角坐标系中，直线3x+y﹣3=0的倾斜角是（）A．B．C． D．【考点】直线的倾斜角．【分析】由已知方程得到直线的斜率，根据斜率对于得到倾斜角．【解答】解：由已知直线的方程得到直线的斜率为﹣，设倾斜角为α，则tanα=﹣，α∈[0，π），所以α=；故选：D．6．函数的单调递减区间（）A．（k∈Z）B．（k∈Z）C．（k∈Z）D．（k∈Z）【考点】正弦函数的单调性．【分析】利用y=sinx的单调性，求出函数的单调递减区间，进而可求函数的单调递减区间．【解答】解：利用y=sinx的单调递减区间，可得∴∴函数的单调递减区间（k∈Z）故选D．7．函数y=3sin（2x+）+2图象的一条对称轴方程是（）A．x=﹣B．x=0 C．x=πD．【考点】正弦函数的图象．【分析】利用正弦函数的图象的对称性，求得y=3sin（2x+）+2图象的一条对称轴方程．【解答】解：∵对于函数y=3sin（2x+）+2图象，令2x+=kπ+，求得x=+，可得函数图象的一条对称轴方程为x=π，故选：C．8．下列选项中叙述正确的是（）A．终边不同的角同一三角函数值可以相等B．三角形的内角是第一象限角或第二象限角C．第一象限是锐角D．第二象限的角比第一象限的角大【考点】命题的真假判断与应用．【分析】分别举例说明四个选项的正误得答案．【解答】解：对于A，终边不同的角同一三角函数值可以相等，正确，如；对于B，三角形的内角是第一象限角或第二象限角，错误，如是终边在坐标轴上的角；对于C，第一象限是锐角，错误，如是第一象限角，不是锐角；对于D，第二象限的角比第一象限的角大，错误，如是第二象限角，是第一象限角，但．故选：A．9．如果点P（sinθcosθ，2cosθ）位于第二象限，那么角θ所在象限是（）A．第一象限 B．第二象限 C．第三象限 D．第四象限【考点】三角函数的化简求值．【分析】根据象限得出sinθ，cosθ的符号，得出θ的象限．【解答】解：∵P（sinθcosθ，2cosθ）位于第二象限，∴sinθcosθ＜0，cosθ＞0，∴sinθ＜0，∴θ是第四象限角．故选：D．10．向量+++化简后等于（）A．B．C．D．【考点】向量加减混合运算及其几何意义．【分析】利用向量的三角形法则与多边形法则即可得出．【解答】解：向量+++=，故选：D．11．已知函数y=Asin（ωx+φ）+B的一部分图象如图所示，如果A＞0，ω＞0，|φ|＜，则（）A．A=4 B．ω=1 C．φ=D．B=4【考点】由y=Asin（ωx+φ）的部分图象确定其解析式．【分析】先根据函数的最大值和最小值求得A和B，然后利用图象中﹣求得函数的周期，求得ω，最后根据x=时取最大值，求得φ．【解答】解：如图根据函数的最大值和最小值得求得A=2，B=2函数的周期为（﹣）×4=π，即π=，ω=2当x=时取最大值，即sin（2×+φ）=1，2×+φ=2kπ+φ=2kπ﹣∵∴φ=故选C．12．给出下列说法：①终边相同的角同一三角函数值相等；②在三角形中，若sinA=sinB，则有A=B；③不论是用角度制还是用弧度制度量一个角，它们与扇形的半径的大小无关；④若sinα=sinβ，则α与β的终边相同；⑤若cos θ＜0，则θ是第二或第三象限的角．其中正确说法的个数是（）A．1 B．2 C．3 D．4【考点】任意角的概念．【分析】由任意角的三角函数的定义，三角函数值与象限角的关系，即可得出结论．【解答】解：①由任意角的三角函数的定义知，终边相同的角的三角函数值相等，正确．②在三角形中，若sinA=sinB，则有A=B，故正确；③不论是用角度制还是用弧度制度量一个角，它们与扇形的半径的大小无关，正确，④若sinα=sinβ，则α与β的终边相同或终边关于y轴对称，故不正确．⑤若cosα＜0，则α是第二或第三象限角或α的终边落在x轴的非正半轴上，故不正确．其中正确的个数为3个，故选：C．二、填空（本大题共4小题，每小题5分，共20分．）13．以点（0，2）和（4，0）为端点的线段的中垂线的方程是2x﹣y﹣3=0 ．【考点】待定系数法求直线方程．【分析】先求出线段AB的中垂线的斜率，再求出线段AB的中点的坐标，点斜式写出AB的中垂线得方程，并化为一般式．【解答】解：设A（0，2）、B（4，0）．=﹣，所以线段AB的中垂线得斜率k=2，又线段AB的中点为（2，1），直线AB的斜率 kAB所以线段AB的中垂线得方程为y﹣1=2（x﹣2）即2x﹣y﹣3=0，故答案为：2x﹣y﹣3=0．14．圆x2+y2=4上的点到直线3x+4y﹣25=0的距离最小值为 3 ．【考点】直线与圆的位置关系．【分析】圆心（0，0）到直线3x+4y﹣25=0的距离d==5，圆x2+y2=4上的点到直线3x+4y﹣25=0距离的最小值是AC=5﹣r，从而可求．【解答】解：∵圆心（0，0）到直线3x+4y﹣25=0的距离d==5，∴圆x2+y2=4上的点到直线3x+4y﹣25=0距离的最小值是AC=5﹣r=5﹣2=3故答案为：3．15．已知=， =， =， =， =，则+++﹣= ．【考点】向量的加法及其几何意义．【分析】利用向量的三角形法则与多边形法则即可得出．【解答】解： +++﹣=+++﹣=﹣=，故答案为：．16．已知tan（）=，tan（）=﹣，则tan（）= 1 ．【考点】两角和与差的正切函数．【分析】观察三个函数中的角，发现=﹣（），故tan（）的值可以用正切的差角公式求值【解答】解：∵=﹣（），∴tan（）===1故答案为1三、解答题（本大题共6小题，17题10分其余每题12分共70分）17．已知角α的终边经过一点P（5a，﹣12a）（a＞0），求2sinα+cosα的值．【考点】任意角的三角函数的定义．【分析】利用三角函数的定义可求得sinα与cosα，从而可得2sinα+cosα．【解答】解：由已知r==13a…∴sinα=﹣，cosα=，…∴2sinα+cosα=﹣…18．已知△ABC的三个顶点A（0，4），B（﹣2，6），C（8，2）；（1）求AB边的中线所在直线方程．（2）求AC的中垂线方程．【考点】待定系数法求直线方程．【分析】（1）利用中点坐标公式、斜截式即可得出．（2）利用斜率计算公式、相互垂直的直线斜率之间的关系、斜截式即可得出．【解答】解：（1）∵线段AB的中点为（﹣1，5），∴AB边的中线所在直线方程是=，即x+3y﹣14=0．（2）AC的中点为（4.3）==﹣，∵KAC∴y﹣3=4（x﹣4）即y=4x﹣13，∴AC的中垂线方程为y=4x﹣13．19．若圆经过点A（2，0），B（4，0），C（1，2），求这个圆的方程．【考点】圆的一般方程．【分析】设出圆的一般式方程，把三个点的坐标代入，求解关于D、E、F的方程组得答案．【解答】解：设圆的方程为x2+y2+Dx+Ey+F=0，则，解得．∴圆的方程为：．20．已知cosα=，cos（α﹣β）=，且0＜β＜α＜，（1）求tan2α的值；（2）求cosβ的值．【考点】二倍角的正切；两角和与差的余弦函数．【分析】（1）利用已知及同角三角函数基本关系式可求sinα，进而可求tanα，利用二倍角的正切函数公式可求tan2α的值．（2）由0＜β＜α＜，得0＜α﹣β＜，利用同角三角函数基本关系式可求sin（α﹣β），由β=α﹣（α﹣β）利用两角差的余弦函数公式即可计算求值．【解答】解：（1）∵由cosα=，0＜α＜，得sinα===，∴得tan=∴于是tan2α==﹣．…（2）由0＜β＜α＜，得0＜α﹣β＜，又∵cos（α﹣β）=，∴sin（α﹣β）==，由β=α﹣（α﹣β）得：cosβ=cos[α﹣（α﹣β）]=cosαcos（α﹣β）+sinαsin（α﹣β）==．…21．已知函数f（x）=Asin（ωx+φ）（A＞0，ω＞0，|φ|＜π）的部分图象如图所示，（Ⅰ）求函数的解析式；（Ⅱ）求函数的对称轴方程和对称中心坐标．【考点】由y=Asin（ωx+φ）的部分图象确定其解析式；正弦函数的图象．【分析】（Ⅰ）由函数的最值求出A，由周期求出ω，由五点法作图求出φ的值，可得函数的解析式．（Ⅱ）利用正弦函数的图象的对称性，求得函数的对称轴方程和对称中心坐标．【解答】解：（Ⅰ）由函数f（x）=Asin（ωx+φ）（A＞0，ω＞0，|φ|＜π）的部分图象，可得A=2， ==+，∴ω=2．再根据五点法作图可得2•（﹣）+φ=，∴φ=，函数f（x）=2sin（2x+）．（Ⅱ）由2x+=kπ+，求得x=﹣，可得函数的图象的对称轴方程为x=﹣，k∈Z．令2x+=kπ，求得x=﹣，可得函数的图象的对称轴中心为（﹣，0），k∈Z．22．已知函数f（x）=sin2ωx+sinωx•cosωx﹣1（ω＞0）的周期为π．（1）当x∈[0，]时，求f（x）的取值范围；（2）求函数f（x）的单调递增区间．【考点】三角函数中的恒等变换应用；正弦函数的图象．【分析】（1）利用降幂公式降幂，再由辅助角公式化简，由x的范围求得相位的范围，则函数的取值范围可求；（2）利用复合函数的单调性求得原函数的单调区间．【解答】解：（1）f（x）=sin2ωx+sinωx•cosωx﹣1==．∵ω＞0，∴T=，则ω=1．∴函数f（x）=sin（2x﹣）﹣．由0，得，∴，∴．∴f（x）的取值范围[﹣1，]；（2）令，得：，（k∈Z），∴f（x）的单调递增区间为[kπ﹣，kπ+]，（k∈Z）．。

英汉互译VI.句子翻译（共15分）（A）根据所给中文完成句子翻译．（共11分．局部翻译，每小题1分；整句翻译，每小题1分）23．（1分）经理亲自为顾客解决了这个问题．The manager solved the problem for the customer．24．（1分）昨天你为什么缺席会议了？Why were you the meeting yesterday？25．（1分）这个新产品是用来快速加热食物的．This new product heating food quickly．26．（1分）他们已经采取行动挽救野生动物了吗？Have they to save wild animals yet？27．（1分）小孩子必须远离垃圾食品．Kids must junk food．28．（2分）你的决定多么明智啊！29．（2分）这首诗将被翻译成德语．30．（2分）如果我们想战胜他们，就必须齐心协力．（B）阅读下面的短文，将短文中画线部分的句子译成中文．（共4分，每小题4分）31．（4分）Make memories of ginkgo （银杏）leavesAutumn is the season of harvest （收获）．Leaves turn golden and are blown around by the wind．The ginkgo is one of my favorite trees．（1）I love its beautiful golden leaves which look like fans．This autumn，I picked up some ginkgo leaves．I cleaned and dried them in the sun．When they are ready，they will be my specimens （标本）．And I will put them in my books and use them as bookmarks．（2）They will remind me of the season whenever I open my books．They are my memory of this autumn．（1）（2）VI.句子翻译（共15分）（A）根据所给中文完成句子翻译．（共11分．局部翻译，每小题1分；整句翻译，每小题1分）23．【解答】亲自in person，固定短语；根据句意"经理亲自为顾客解决了这个问题"可知，要用固定短语in person作状语．故答案为in person．24．【解答】be absent from 缺席，根据意思：昨天你为什么缺席会议了？故答案是absent from25．【解答】被用来做某事be used for doing sth．，固定搭配；根据句意"这个新产品是用来快速加热食物的"可知，要用一般现在时的被动语态．故答案为is used for．26．【解答】采取行动take action，动词短语；根据句意"他们已经采取行动挽救野生动物了吗"可知，要用现在完成时，在助动词have后面用过去分词．故答案为taken action．27．【解答】远离keep away from，固定短语；根据句意"小孩子必须远离垃圾食品"可知，在情态动词后面要用动词原形．故答案为keep away from．28．【解答】"what+形容词+名词+主语+谓语"是感叹句的固定句式，明智的wise，决定decision，做make；根据句意"你的决定多么明智啊"可知，要用固定句式"what+形容词+名词+主语+谓语"．故答案为What a wise decision you made!29．【解答】诗poem，把…翻译成…translate sth．into…，德语German；根据句意"这首诗将被翻译成德语"可知，要用一般将来时的被动语态，其构成为will be done．故答案为The poem will be translated into German．30．【解答】如果if，想要做某事want to do sth．，战胜beat，必须have to，齐心协力work together；根据句意"如果我们想战胜他们，就必须齐心协力"可知，主句和条件状语从句都要用一般现在时．故答案为If we want to beat them，we have to work together．（B）阅读下面的短文，将短文中画线部分的句子译成中文．（共4分，每小题4分）31．【解答】1．我喜欢它美丽的金黄色叶子，它看起来像扇子．英译汉题．一般现在时态，which look like fans定语从句，its beautiful golden leaves它美丽的金黄色叶子．故答案是：我喜欢它美丽的金黄色叶子，它看起来像扇子．2．每当我打开我的书，我就会想起这个季节．英译汉题．remind me of the season 让我想起这个季节；whenever I open my books每当我打开我的书，故答案是：每当我打开我的书，我就会想起这个季节．2018VI. 句子翻译（共15分）（A）(2018·辽宁辽阳)根据所给中文完成句子翻译。

2017-2018学年高一英语上学期期末考试试题汉(考试时间:2小时满分:100分)第I卷选择题(满分60分)阅读理解（共20小题,每题2分，满分40分）第一节：阅读理解（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的选项中选出最佳选项。

AWhen you walk along a street in a big city in the United States , you may see clocks in most stores. Radio announcers give t he correct time during the day. People there think that it is imp ortant to know the time. Most Americans have watches. They want to do certain things at certain times. They do not want to be late.Not all people all over the world value time. Suppose you visi t a certain country in South America. You would find that peop le living there do not like to rush. If you had an appointment (约会)with someone, he would probably be late. He would not care for arriving on time. In some countries in South America, ev en the radio programs may not begin right on time, nor do the radio announcers think it important to announce the right time. Many people regard a clock as a machine. It seems to them t hat a person who does everything on time is controlled by a m achine. They do not want a clock or any machine to have that much power over their lives.1. There are clocks in most stores in the US cities because __ ____.A. people in the stores want to sell these clocksB. people think it important to know the timeC. bosses want to make their stores beautifulD. they needn't wear watches when they are away from hom e2. The underlined word "rush" in the passage most probably means ______.A. “run”B. “walk”C.“hurry”D. “move”3. If you had an appointment with someone in some place in South America, he might not arrive on time, and this is becau se ______.A. he didn't have a watch with himB. he forgot to have a look at a watch or a clockC. he didn't like an appointment with someoneD. he didn't think it important to arrive on time4. In some countries in South America ______.A. the radio announcers do think it important to announce th e exact timeB. the radio programs may start a bit early or lateC. most people do not want to be controlled by othersD. many people think a clock has much power5.which statement is not true?A. The radio announcers in South America always announce t he right time.B. You can see clocks in many stores in USA.C.All the people in the world don’t value the time.D. Most Americans own watches.BFitzgerald, a very wealthy English man, had only one child, a son, who naturally was the apple of his eye. His wife died whe n the child was in his early teens. So Fitzgerald devoted hims elf to fathering the kid. Unluckily the son died in his late teens. Meanwhile, Fitzgerald's wealth was increasing all the time. He spent a lot on art works of the masters. Later Fitzgerald hims elf became seriously ill. Before his death, he had carefully pre pared his will as to how his wealth would be settled——to sell his entire collection at an auction(拍卖）.Because of the large quantity and high quality of his collection , a huge crowd of possible buyers gathered for the auction. M any of them were museum directors and private collectors ea ger to bid（出价）. Before the auction, the art works were shown, among w hich was a painting of Fitzgerald's son by an unknown artist. Because of its poor quality, it received little attention.When it was time for the auction, the auctioneer gaveled（敲槌）the crowd to attention. First the lawyer read from Fitzgerald's will that the first art work to be auctioned was the painting of h is son.The poor-quality painting didn't receive any bidders except one——the old servant who had attended to the son and loved him, a nd who for emotional reasons offered the only bid.As soon as the servant bought the painting for less than one English pound, the auctioneer stopped the bidding and asked the lawyer to read again from the will. The crowd became qui et, and the lawyer read from the will: “Whoever buys the painti ng of my son gets all my collection.” Then the auction was ov er.6. Fitzgerald was __________.A. a museum directorB. a master of artC. an art collectorD. an art auctioneer7. Which of the following is TRUE according to the story?A. Fitzgerald took care of his son all by himself.B. Fitzgerald lost his wife and his only son within 10 years.C. Fitzgerald became seriously ill because of the death of his son.D. Fitzgerald decided to leave everything he had to his servan t.8. Fitzgerald's will showed __________.A. his desire to fool the biddersB. his sadness at the death of his sonC. his regret of having no heir (继承人）D. his invaluable love for his son9. What helped the old servant win the whole collection of Fitz gerald's?A. No more than one pound.B. His emotion for his young master.C. Great increase of his wealth.D. His strong passion for art.10. At the result of the auction, the old man would feel more t han ______________.A. sadB. surprisedC. interestedD. expectedCWe parents often take material things for love. “I give him eve rything,” a disappointed mother complains. “New shoes, video -games, and his own TV. You’d think he’d at least show me re spect!”Of course, love and presents are related. Most parents work h ard to earn money. They want their children to have more tha n they did and have better lives. The problem is, most childre n don’t connect the things parents buy with the labor that pays for them. Children have more, but our culture——and television in particular——teaches them that more is never enough. Having more does n ot mean that a child feels loved.From a parent’s point of view, children are not thankful. But thi s has to do with their natural growth. Young children see their parents as all-mighty(万能的). If parents fail to provide what they want, it must be a matt er of choice. It’s normal for children, even school-age ones, not to be able to take another person’s point of vie w. For example, they may dislike their parents for working lon g hours, and not realize that the parent would also rather hav e more time at home.In addition to giving presents, we have to find other ways to e xpress love and create memories. Reading or telling stories to gether, making music and playing games are all ways for fami lies to spend time without spending money. Traditions like rea ding favorite poems and even snowball fights all serve the pur pose（达到目的）. Most importantly, as parents, we have to learn to hold b ack some energy from our tiring jobs. When we’re present for our children, we ourselves become the presents we want to gi ve.11. The underlined word “them”( in Paragraph 2) refers to____ __________.A. the things parents buyB. parentsC. childrenD. bett er lives12. According to the passage, children______.A. want fewer presentsB. want presents rather than loveC. are taught to ask for moreD. can live better without their parents.13. We can judge from the passage that there is _________.A. a heavy job load for some parentsB. a lack of money in some familiesC. misunderstanding between parents and childrenD. love between parents and children14. The last paragraph of the passage means that______.A. our children are good presents to usB. we should spend more time with our childrenC. we ourselves need some presentsD. we should give more presents to our children15. The best title for the passage is .A. Family LifeB. Children’s EducationC. Love and PresentsD. Children and Parents第二节：任务型阅读（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。

2017-2018学年度期末考试英语试卷2017-2018第一学期期末考试试卷八年级英语一、单项选择（共15小题，每小题1分）从下列各题所给的A,B,C,D四个选项中，选出能填入空白处的最佳答案，1．That's all I have to say. Is there anything you'd like to ?A. talkB. requireC. holdD. add 2．--- Why didn't you enjoy the film?--- It was film that I had ever seen.A. the most interestingB. the least interestingC. more interestingD. less interesting 3．—English is difficult for me. I can’t learn it well.试卷第2页，总1页试卷第3页，总1页8．I know _______ of the twins have been to Hainan Island before.A.neitherB.eitherC.bothD.none9．–Which of these two books will you take? –I’ll take _________. I need them to kill time on my journey.A. eitherB. bothC. all 10．Beethoven wrote _______ beautiful pieces of music.A. hundred ofB. two hundredsC. hundreds ofD.one hundred of11． A journey by train is more ______than by coach.A. tiringB. relaxingC. boringD. difficult12．We ________ get up early and we have a lot of time.A. don’t needB. needn’t to试卷第4页，总18页C. need toD. don’t need to 13．—Dad, how can I get on well with my classmates?—Try to be friendly to them. That will make it much_______.A. easilyB. more easilyC. more easyD. easier14．一What’s your math teacher like?—He is_______. We are a little afraid of him.A. outgoingB. niceC. seriousD. friendly15．Jane has two brothers——_______ is a doctor and ________ is a policeman.A. some, othersB. one, anotherC. one, the otherD. the one, the other二、完形填空（共15小题，每小题1分）试卷第5页，总18页阅读下列短文, 从每小题所给的A、B、C、D四个选项中选出一个最佳选项。