限时训练(50)
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九年级英语限时训练(附参考答案)一.根据句意及首字母和汉语提示完成句子。
1.The official newspaper c_________the news of Tiangong-I,for it took a big step forward into space.2.The idiom(成语):“Meng zi’s mother makes three moves”tells of a mother who did all she could to provide the best e_________for her child.3.The young lady w _______hair is blond comes from Australia.4.Sometimes, you won’t know the true value of a moment u_______it becomes a memory.5.Good _______(发音)will impress others and make yourself confident.二.完形填空(共10小题;每小题1分,满分10分)There was a garden full of plants. In the corner of the garden, a 6 rose grew. She was the most beautiful flower there. She was as white as snow, 7 the plants around her were shocked at her beauty. But the white rose couldn’t see 8 , so she didn’t know how beautiful she was.Sometimes, she was even a little envious (羡慕的) of the sunflowers around her. She hoped that she could be as 9 as them.One sunny day, a girl went into the 10 . She walked around and was amazed at the beauty of na ture. Suddenly, she saw the white rose. “It hasn’t rained for days,” said the girl. “And the weather report says it will continue to be 11 for a few days. If the rose stays here, it will 12 soon. I’ll take it home and put it in my beautiful vase(花瓶).”The white rose was put in a lovely vase by the window. From the reflection in the window, the white rose saw herself for the 13 time. “Is that me?” she was shocked. “Till now I didn’t 14 how beautiful I looked.”Sometimes, we think other people are very great and 15 know our own advantages. This makes us feel less confident of ourselves. Look into your heart, and you’ll find how great you are.6. A. white B. red C. blue7. A. or B. but C. and8. A. herself B. himself C. yourself9. A. quiet B. lovely C. lonely10. A. park B. corner C. garden11. A. rainy B. cloudy C. sunny12. A. leave B. die C. cancel13. A. first B. second C. third14. A. improve B. realize C. suppose15. A. always B. usually C. never三.综合填空(共10小题;每小题2分,满分20分)根据短文内容,用方框中所给词语的适当形式填空,使文章通顺、完整。
九年级英语限时训练(附参考答案)(满分35分时间25分钟)一、单词拼写(共5小题;每小题2分,满分10分)根据句意和首字母或汉语提示,将单词的正确形式完整地写在答题纸相应的位置上。
1. If it rains tomorrow, you could go to the museum i___________.2. Do you know who is the g___________ writer since Shakespeare in the English language?3. How much time do you spend ___________(练习)English every day?4. Could you tell me where I can c___________ a bus going downtown?5. If possible, a___________(避免)stopping under trees, light posts, or power lines.二、完形填空(共10小题;每小题1分,满分10分)阅读下面短文,掌握其大意,然后从每题所给的A、B、C、D四个选项中,选出能填入短文相应空白处的最佳选项,并在答题卡上将该项涂黑。
Many people have to work at the weekends.Some people do not mind.Other people think it’s 6 .One man thinks that working at the weekends can be 7 .He is George Smith.Mr.Smith works in an office, in Brighton, England.One Saturday, May 24, 1996, he went to the office to do some work.After he 8 the lift, it stopped between floors.Mr.Smith could not get out of the lift.He began to shout, but 9 heard him.Then Mr.Smith remembered that it was a holiday in England.No one was going to come to work 10 Tuesday.There was 11 for Mr.Smith to do.He had to wait until one of his workmates came to work and found him.With nothing do 12 , Mr.Smith was very hungry and had to sleep most of the time.Early on Tuesday morning, one of his workmates came to work and found the lift was not 13 .When the lift was opened, Mr.Smith came out, cold, weak, and tired.He had been in the lift for 14 hours!Now Mr.Smith says, “I only use lifts if they have 15 in them.”6. A.glad B.terrible C.good eful7. A.dangerous B.happy C.angry D.free8. A.got off B.got into C.got out of D.got to9. A.someone B.everyone C.no one D.either10. A.on B.to C.from D.until11. A.nothing B.something C.anything D.everything12. A.read or write B.eat or drink C.cook D.know the time13. A.there B.closed C.working D.here14. A.nearly 24 B.abut 40 C.more than 60 D.over 9415.A.pans B.beds C.exits D.telephones三、阅读表达共6小题;71-73小题,每小题2分;74-76小题,每小题3分,满分15分)阅读下面的短文,并根据短文后的要求答题。
英语限时训练二预计时间:45分钟第一部分选择题(50分)1.完形填空(10分)Have you ever thought of your purpose in life? If you don't, you have to think about it seriously. Youwill lose yourself and you will 1 to know what you really want in your life.Here are some 2 about taking steps towards finding your life's purpose.Firstly,make a 3 of the things you do for fun, including some jobs that you prefer,yourhobbies and so on. Imagine you're a millionaire with no worries about money, how would you choose to 4 your time? Add those things 5 the list, even if you don't do them at present. This list isabout your passions(热情)—the things that you would do 6 for the pleasure they give you.Then 7 the names of people you admire(钦佩)most, and the reasons why they attract you. Youmight admire an inventor for his love for creating something 8 . Or you might admire an actress foralways being true to herself. Take these admirations of others 9 a way for you to live in the world.Finally, make a list of the things you do naturally without thinking about them. Such talents may bean eye for detail or a great sense of humor. Some people are 10 at math or music, but there areplenty of other types of talents as well. It's better for us to use our talents for our life purpose.1.A.fail B.need C.decide D.want2.A.advantages B.activities C.tips D.systems3.A.survey B.list C.note D.record4.A.take B.spend C.cost D.save5.A.into B.outside C.over D.away6.A.possibly B.hardly C.properly D.simply7.A.talk about B.ask for C.write down D.dream of8.A.awful B.boring C.old D.new9.A.as B.in C.from D.by10.A.good B.shy C.strict D.angryII.阅读理解(40分)第一节阅读下列短文,从下面每小题所给的A、B、C、D四个选项中,选出最佳选项,并在答题卡上将相应的字母编号涂黑。
九年级英语限时训练(附参考答案)(满分55分时间40分钟)一、听短文填表格。
根据短文内容,写出下面表格中所缺信息,每空一词。
短文造三遍。
你将有20 秒钟的时二、单词拼写1.Mother’s cooking skills will not only satisfy our _______(胃),but also our spirit.2. That book is well w_______ reading. You'd better read it.3. Many parents are _______(考虑)sending their children to study abroad.4.I am c_______ wrong for sure.I have to do the research from the very beginning.5.A bicycle is far more c_______ than a car in busy cities.6. Birds are the natural e_______ of many insect pests(害虫).7. I p______ modern novels to classical novels two years ago, but now l like the four Chinese classic novels very much.8. Everyone knows the secret e______Tom. Nobody wants to tell him about it.9. Listening to music is a way of______(放松)yourself.10. These _______(艺术家)design won an international award.三.写作(共1题,满分25分)国家在今年新年贺词(New Year speech)中重申了“奋斗(strive)”这一时代主题词,强“征途漫漫,惟有奋斗(The road ahead is long, and striving is the only way forward.)”,激励令人民奋力开拓新时代,同心共筑中国梦。
一、选择题(每题5分,共50分)1. 下列各数中,有理数是()A. √16B. √-16C. πD. √0.252. 下列各数中,无理数是()A. 2/3B. √9C. 3.14D. √-93. 如果 |x| = 5,那么 x 的值为()A. ±5B. 5C. -5D. 04. 下列函数中,y 与 x 成正比例关系的是()A. y = 2x + 3B. y = 3x^2C. y = 4xD. y = 5/x5. 下列各式中,正确的是()A. (a + b)^2 = a^2 + b^2B. (a - b)^2 = a^2 - b^2C. (a + b)^2 = a^2 + 2ab + b^2D. (a - b)^2 = a^2 - 2ab + b^26. 一个长方形的长是 8 厘米,宽是 3 厘米,那么它的周长是()A. 20 厘米B. 24 厘米C. 28 厘米D. 32 厘米7. 下列各图中,全等的是()A.B.C.D.8. 如果一个等腰三角形的底边长是 6 厘米,腰长是 8 厘米,那么它的面积是()A. 24 平方厘米B. 28 平方厘米C. 32 平方厘米D. 36 平方厘米9. 下列各数中,是质数的是()A. 11B. 12C. 13D. 1410. 下列各数中,是偶数的是()A. 23B. 24C. 25D. 26二、填空题(每题5分,共50分)11. (1)一个数的相反数是它本身的数是(),(2)两个数的和为 0,则这两个数互为(),(3)如果 a > b,那么 a - b 的值是()。
12. (1)√64 的值是(),(2)3 的平方根是(),(3)如果 a^2 = 4,那么 a 的值是()。
13. (1)正比例函数 y = 2x 的图象是一条()线,当 x = 1 时,y 的值为(),(2)反比例函数 y = 1/x 的图象是一条()线,当 x = 2 时,y 的值为()。
限时训练参考答案限时训练参考答案在现代社会中,时间成为了一种宝贵的资源。
我们总是不断地追求高效率和快速完成任务的能力。
为了应对这种需求,限时训练应运而生。
限时训练是一种通过在规定的时间内完成任务来提高工作效率和学习能力的方法。
在这篇文章中,我们将探讨限时训练的意义和一些参考答案。
限时训练的意义在于它可以帮助我们培养时间管理和压力应对能力。
在限时训练中,我们必须在规定的时间内完成任务,这迫使我们学会合理安排时间和高效利用时间。
这种训练不仅可以提高我们的工作效率,还可以培养我们的冷静和应对压力的能力。
当我们在紧迫的时间限制下工作时,我们需要保持冷静并集中注意力,这对我们的工作和学习都非常重要。
在进行限时训练时,我们需要有一些参考答案来帮助我们评估自己的表现。
这些参考答案可以是标准答案、模板或者是其他人的答案。
通过参考答案,我们可以了解到自己在时间管理、任务完成和问题解决等方面的表现如何。
同时,参考答案也可以帮助我们发现自己的不足之处,并进行针对性的改进。
然而,我们需要明确的是,参考答案只是一种参考,我们并不需要完全照搬,而是应该根据自己的实际情况进行调整和改进。
在限时训练中,我们可以运用参考答案的方法和思路,但是我们需要注意避免机械地套用答案。
每个人都有自己的思维方式和解决问题的方法,因此我们需要根据自己的特点和优势来进行答题。
参考答案只是给我们提供一种思路和方法的参考,而不是唯一的正确答案。
我们需要根据自己的理解和思考来进行创新和发展。
限时训练不仅可以应用于学习和工作,也可以应用于日常生活中的各个方面。
比如,我们可以设定一个时间限制来完成家务,这样不仅可以提高效率,还可以让我们有更多的时间去做其他喜欢的事情。
又比如,我们可以设定一个时间限制来锻炼身体,这样不仅可以提高身体素质,还可以节约时间。
限时训练可以应用于各个领域,它可以帮助我们更好地管理时间,提高效率。
综上所述,限时训练是一种提高工作效率和学习能力的方法。
八年级上学期英语 Unit 4 限时训练一、单项选择(每小题1分,共15分)1.He thinks his hometown is ____ of all.A.beautiful B.more beautifulC.most beautiful D.the most beautiful2.﹣What can I do for you, sir?﹣Tomorrow is my son's birthday. I want to ________ a gift for him.A.share B.choose C.dream D.give3.﹣China is over 5, 000 years old. It's one of ______ countries in the world.﹣Yes. It has much _____ history than the USA.A.old;longer B.the oldest;longestC.older;the longest D.the oldest;longer4._________is interesting_________us to watch game shows.A.He,for B.that,to C.This,to D.It,for5.Hainan is a very large Island. It is the second _________ island in China.A.large B.larger C.Largest D.most largest6.﹣We want to choose some students to join the basketball team in our school. Who is ______ boy in your class?﹣David. He is much______ than any other student.A.the tallest;the taller B.the tallest;tallerC.tallest;taller D.tallest;tallest7.﹣Tommy is really a ________ boy.﹣Yes, he always has many new ideas.A.friendly B.funny C.creative D.serious8.It is up to you ______ who is the winner.A.decide B.deciding C.to decide D. decided9.﹣How do you get to school?﹣On foot. Our school is ________ my house.A.different from B.far away C.close to D.the same as10.﹣What about the new restaurant?﹣The __ is very good. The waiters are all friendly here.A.problem B.screen C.activity D.service11.﹣Did Mike do his homework yesterday?﹣Yes. And he wrote as ________ as his sister.A.careful B.more careful C.more carefully D.carefully12.﹣You won the first in the math competition. Congratulations!﹣Thank you.A.price B.prize C.race D.grade13.Lisa made so many mistakes in her homework, because she didn't do it ______enough.A.carefully B.busily C.quickly D.warmly14.﹣Jack's sister is ________ outgoing girl.﹣Yes. She is also ________ tallest one in her class.A.a, theB. an, theC. the, theD. an, a15.Everyone knows that China is getting .A. strong and strongB. strongest and strongestC. stronger and strongerD. stronger and strongest二、完形填空(每小题1分,共15分)A few weeks ago, John went to a new school. He likes it better than his 16. school.The classrooms are big and17. . Every classroom has a computer in it. The 18. is also great! There are lots of books, magazines and newspapers in it. It also has 19. chairs and students can sit on them when they 20. . The food in the school dining hall is delicious and 21. . All of the students like to 22.there.The beef noodles are John's favorite. John's favorite 23. in the school is the lecture(演讲)hall. The students often 24. there to listen to speeches. Last week John went there for an interesting speech and he 25. it.The school has many 26. . There is a music festival every June. The sports meeting is 27one of the most popular activities at the school. It is 28. September every year.John is happy that he can 29. at this school. He enjoys his life here 30. he has the best teachers and the friendliest classmates.16.A.old B.new C.big D.small17.A.dirty B.close C.far D.clean18.A.classroom B.library C.office D.ground19.A.the most comfortable B.less comfortable C.most comfortable D.little comfortable20.A.sing B.dance C.read D.sleep21A.expensive B.bad fortable D.fresh22.A.act B.eat C.share D.drink23.A.time B.place C.person D.subject24.A.go B.reach C.choose D.touch25.A.forgot B.waited C.stopped D.loved26.A.activities B.festivals C.clubs D.parties27.A.either B.again C.too D.also28.A.at B.on C.in D.to29.A.study B.work C.live D.travel30.A.but B.or C.though D.because三、阅读单选(每小题2分,共30分)AI flew back to New York with my two sons. My elder son was 20 and my younger son was 18. I ever promised (承诺)them a trip to London on my 42nd birthday. There we were on our way back from the trip.As I came out of the restroom on the plane, I saw a girl crying. Many people just walked by, but no one said anything. I walked up to her and said, "I don't know why you are crying, but can I give you a hug (拥抱)? "The girl held on to (紧紧抓住)me like her close friend.After she got better, she told me she left London for studies in New York. She felt lonely﹣for she had no friends there. I held her and said, "I wonder if I could be your first friend in the city. "She nodded (点头)and broke into a big smile.31.How did the writer and her sons go back to New York?A.By train.B.By plane.C.By bus.D.By car.32.How old was the writer's younger son?.A.17.B.18.C.20.D.42.33.What does the underlined word"lonely"mean in Chinese?A.安全的B.困倦的C.孤独的D.忙碌的34.Which of the following is NOT true?A.The writer came back from a vacation.B.Many people helped the girl with her problem.C.The girl would study in New York for some time.D.The writer and the girl might become friends.35.Which of the following is the right order (顺序)of the story?①The girl told something to the writer.①The writer and her sons traveled to London.①The writer gave the girl a hug.①The girl stood outside the restroom crying.A.①①①① B.①①①① C.①①①① D.①①①①BThis is Westin Restaurant .It has the most delicious food .And it plays the most wonderful music .However ,the food is the most expensive .And the waiters aren't friendly at all .East Lake is the best place to go on weekends .There are beautiful trees and flowers .The most important thing is that it is free for visitors .However ,sometimes it's kind of crowded because of too many people .Many people like Wanda Cinema .It has the biggest screens and the most comfortable seats ,and the workers always do their best to help you .But the tickets are more expensive than those in any other cinema .I always go shopping here because it's the closest to my home .People can buy the cheapest things .But there is a bad thing .The workers here are boring .They always ask you to buy things you don't need at all .36. plays the most wonderful music .A .Westin RestaurantB .East LakeC .Wanda CinemaD .Shopping Mall 37.The writer thinks that the waiters in Westin Restaurant are . A .interesting B .kind C .funny D .unfriendly 38. People can in Wanda Cinema .A .eat most delicious foodB .watch movies on the biggest screensC .watch the most beautiful flowersD .buy many things in low price (价格) 39. In ,the workers always ask you to buy things you don't need .A .Westin RestaurantB .East LakeC .Wanda CinemaD .Shopping Mall 40. is free for people .A .Westin RestaurantB .East LakeC .Wanda CinemaD .Shopping Mall四.补全对话(每题1分,共5分)Andy : Hello, Kevin. You didn’t come to my birthday party yesterday. Why ?Kevin : 41Andy : Your cousin Edison? Do you look the same?Kevin : 42 But Edison is a little taller and stronger than me.Andy : 43Kevin : Yes, we both like reading books and playing computer games.Andy : That sounds great. 44Kevin :Yes, he talks more than me. He likes making friends.Andy : Can you introduce(介绍) him to me? Maybe we can make friends.Kevin : 4541.A. Sorry! I didn’t know that. B. Sorry! I went to visit my cousin Edison.C. Where did you have the party?D. This is my cousin Edison.42.A. Yes, we do. B. No, we don’t. C. Yes, we are. D. No, we aren’t.43.A. Are you different from each other? B. So do you have the same hobbies(爱好)?C. Is he good at swimming?D. Who is much quieter?44.A.What does he like? B. What’s he like?C. Are you as outgoing as him?D. Is he outgoing?45.A. Really? B. Sorry, I’ m afraid not. C. Sure. D. It is fantastic.五、选词填空( 每空2分,共20分)A.阅读短文,从方框中选择适当的词填空(每词限用一次)I live in a beautiful town. The people here are friendly. I think my hometown is a (46) ______place. Every day I get up (47) _______ early to exercise. I am a quiet girl. I like reading magazines. However,I have some outgoing friends. They always tell me some jokes, and they make me laugh. (48) _____the same time, I also share my happiness with them. I (49) _______to live here happily.In the town there are some good movie theaters. Yesterday my friends and I decide to watch the newest movies at Great theater. Although the tickets are the most expensive, it is the (50) _________to my house. That’s why we chose it.B.阅读短文,从方框中选择适当的动词,并用其适当形式填空。
中考口语朗读材料-—-模仿跟读(2017年3月)限时训练(一)听以下短文一遍,给你50秒钟的时间准备,然后模仿朗读.当听到“开始录音”的信号后,立即在50秒钟内朗读短文,当听到要求“停止录音”的信号时,应立即终止朗读。
My mother likes telling stories。
She also likes helping others. So she is popular。
She is hard-working like many other mothers. When she is at home or at work, she is always busy. At weekends, she often cleans our house,so our house is very clean and tidy。
And she likes planting flowers, too。
She often says,“Flowers are beautiful。
Planting flowers is fun and exciting. Flowers can make the air fresh and keep the house beautiful."限时训练(二)In America,public schools are free to all boys and girls, but some parents prefer to send their children to private schools. Usually private schools have small classes and very good teachers, so parents thinks their children will get a better education there than in public schools。
部编版高一语文必修上册第五单元限时训练时间:50分钟一、现代文阅读阅读下面的文字,完成下面小题。
寻找安详郭震海秋深,黄昏,风起。
苍茫的群山之中,林深似海,我轻轻地整了整衣领,有点儿微凉。
我开始隐隐担心,对身边的老乡说:“马上天黑了,还没找到安详。
”“快了,再翻过一座山就到了。
”老乡说。
为了寻找安详,我早上从市里出发,坐了个上午的长途客车,午饭简单吃过,我们开始入山。
不承想这一走就是六个多小时。
在逃天蔽日的松柏树下,我们艰难地翻越了四座大山,眼看夜幕低垂,仍看不到有人家的迹象。
“你确定我要找的人是在这里吗?他可是个著名的山水画家,名叫安详,安静的‘安’,详细的‘详’。
”我说。
“是哩,他确实叫安详,是不是个画家不晓得,但俺知道,他是个守山人。
”老乡说。
这真的是我要寻找的安详吗?我产生了深深的忧虑。
想起他的山水画,下笔灵动,浑然天成,自成一派,如行云流水,功力深厚,在几次全国书画大展中屡获大奖,被爱画者出高价争相收藏。
奇怪的是,几次颁奖现场,他均是缺席。
大家只是通过署名得知他叫“安详”,除此之外没有任何其他信息。
安详是谁?谁是安详?只见其画,不见其人。
有人说安详住在京城,有别墅,有私家花园;也有人说,安详是一位大学教授,为人十分低调等等,总之被传得神乎其神。
夜里11点多,我几乎要绝望的时候,终于看到远处的一丝光亮,听到了狗吠声。
老乡告诉我,那是守山人居住的防火瞭望塔顶部的太阳能电池板在月光下发出的亮光。
我们朝着亮光走去。
“安详,安详——”走近了,老乡高喊着。
狗吠声愈加猛烈。
借着老乡手电筒的光亮,我看到从石砌的瞭望塔中走出一个五大三粗的老农。
他真的是画家安详?我更加怀疑。
“安详,有人找你。
”老乡喊道。
安详喝住狗,问道:“找我有事吗?”“您是著名画家安详?”我急切地问道。
“不,你应该是找错人了。
我是安详,但不是画家,更不‘著名’,只是一个守山人。
”他的回答如此干脆,让我十分绝望。
“先弄些水喝,嗓子都冒烟了。
2023届高三英语晚自习限时训练一、阅读理解AFAIREMONT HOTEL Five Waiters and Ten Waitresses: Aged: under 22. At least high school graduates. Good-looking men at least 1.72 meters tall and women at least 1.65. Paid: 1600-2200 dollars per month. One secretary: Aged: under 30. Females favored Good at writing and skilled at computers. Tel:465-4768 Paid: 2500—3000 dollars per month WILSON BOOKSTORE Accountant (会计): Aged: 25 and 40. With an experience of at least two years. With a degree and an accountant certificate. With a practical knowledge of computer. Paid: 3000-4000 dollars monthly. Computer Salesclerk: Aged: 25 or less. Basic education of 12 years or more. Good at computer. Paid: 1800-2200 dollars monthly. Tel: 447-4398 1. Which of the four jobs will be paid best monthly from the passage A.Computer Salesclerk. B.Accountant.C.Secretary. D.A waiter or waitress2. If you are good at writing, you can just find a job as .A.a secretary B.a waiter or waitressC.an accountant D.a salesclerk3. Where can we read the above information most probablyA.In an English bookstore. B.In a newspaper.C.In a hotel magazine. D.In a English TV channel.BHurricane Fiona, killing 16 people and bringing the power system to a 3-day stop, struck Puerto Rico, an island country located between Caribbean Sea and the North Atlantic Ocean, on September 18, almost five years after Hurricane Maria hit the island, showing that, as researchers have long warned, storms are now more frequent and cause more damage due to climate change.Back in 2017, Hurricane Maria killed thousands of people and left millions without power for a week. A study in 2019 found that the possibility of terrible events like Hurricane Maria hitting Puerto Rico is now almost five times higher due to climate change.The storms were similar in many ways but had their own features. Maria was a Category (类别) 4 hurricane whose speed was up to 155 mph, while Fiona, a Category 1 storm when it landed Puerto Rico, was gentler, with winds of up to 85 mph, which later increased to 115 mph as the storm progressed through the island.And yet, the heavy rain caused by Fiona brought Puerto Rico to its knees. According to the data by the National Oceanic and Atmospheric Administration, the slow moving storms brought 15.80 inches of rain over a 5-day period, slightly more than Maria at 14.72 inchesThis confirms another long-held thought that, with climate change, horrible storms will not only become more common but also wetter.That’s because the increase in temperatures is leading to more loss of water from the sea and warmer air can hold more water vapor (水蒸气). The average temperature all over the world has already increased by nearly 1.2℃ due to climate change and for each 1℃ of warming, the air’s ability to hold water is thought to increase by about 7%. The latest research suggests that the increase may be three times higher, at 21%.;4. What was a direct cause of more storms in Puerto RicoA.Loss of forests. B.Puerto Rico’s location.C.Human activity. D.Climate change.;5. Compared with Maria, what’s the feature of Fiona progressing through Puerto RicoA.It brought less rain. B.It moved a bit slower.C.It caused a longer power cut. D.It brought more deaths.;6. What do the figures in the last paragraph showA.Rainfall increases with temperature rising.B.Puerto Rico is a place raining all the time.C.Storms are common in Puerto Rico.D.Slower storms cause more damage.;7. What’s the best title for the textA.Puerto Rico: Survival of PeopleB.Puerto Rico: Frequent FloodsC.Climate Change: Wetter Puerto RicoD.Climate Change: Disasters on Their Way to Puerto RicoCSheneman, a 33-year-old artist, was first diagnosed with diabetes(糖尿病) around five years ago, and she says it was a wake-up call. Since then, health has become a huge part of her life.What she realized while battling this condition, though, is that a lot of people weren’t aware of what she went through on a daily basis. “Which is crazy to think about because there are so many diabetics out there,” she said. So, Sheneman came up with an art project that would offer a deep understanding of what diabetics go through.On April 1, she started her journey, a 470-mile walk, from her college town of Cincinnati, Ohio, and her plan is to make it to her hometown of Memphis, Tennessee, by the end of the month.Throughout this journey, people will be able to watch her glucose(葡萄糖) levels through an app that’s connected to her glucose monitor, the Dexcom G6. The monitor provides real-time alerts when her glucose levels vary too high or low.This journey is more than just showing people how physically difficult this walk is. “I want them to understand what it looks like to be diabetic and constantly checking and making sure that you’re eating the right things,” she said, adding that “just something as simple as stress can raise your blood sugar.”Sheneman was told by health professionals to do something simple, like walking every day. However, Sheneman, who grew up backpacking, wanted to test the limits of what was possible. “I think it’s important to understand that being a diabetic is not necessarily limiting you,” she said. “There’s just the most difficult part that you have to get over.”8. Why did Sheneman start the art projectA.To raise people’s awareness of diabetes. B.To raise money for all the diabetics.C.To advertise for her hometown. D.To get sympathy for herself.9. What should Sheneman pay special attention to during the journey A.The reactions and concerns of others. B.The app connected to the Dexcom G6.C.The variation of her glucose levels. D.The physical difficulty the walk causes.10. Which of the following best describes the life of a diabetic like ShenemanA.Colorful. B.Cautious.C.Artistic. D.Adventurous.11. What message does Sheneman seem to convey in the last paragraph A.Sport helps gain confidence in fighting diseases.B.We don’t have to follow the doctor’s advice.C.Nothing can stop one achieving their goals.D.Our path in life will not always be smooth.二、七选五阅读We know that choosing a college major can be very tough. But have no fear! Your choice of major will not lock you into a specific career for the rest of your life. Here’s what you need to know about college majors before you choose.What is a major12 Beyond general college requirements, you’ll also take a group of courses in a subject of your choosing such as Chemistry, Literature, or Political Science.How important is my majorThe major you choose will neither predict nor guarantee your future. Many graduates find jobs that have nothing to do with what they studied in college. If you intend to earn a professional degree after college, you will probably need certain courses. 13 .When do I choose a majorThis varies widely across schools and programs. 14 . Others require that you decide upon a major by the time that you set foot inside your first class.15Definitely. One of the most exciting aspects of college life is that it introduces you to new subjects and arouses new passions. However,keep this in mind: every major has necessary coursework. If you change your major late in the game, it may take more than the traditional four years to earn a degree.What are minors and double majorsIf one field of study doesn’t satisfy your intellectual appetite, consider a minor. A minor is similar to a major in that it’s an area of academic concentration. 16 A double major provides you with an understanding or two academic fields. It allows you to become familiar with two sets of values and views while it also requires you to fulfill two sets of requirements.A.Can I change my mindB.Is my major time-consumingC.It’s your specialized area of study in college.D.Most students find one major is more than enough.E.Some schools may give you one year or more to decide.F.The only difference is that it doesn’t require as many classes. G.Many future science doctors major in non-science related fields.三、完形填空The year 2020 was a hard year. So many people thought of ideas to bring 17 to themselves or to others.Kimberly Wybenga was one of them. To cheer up her friends, she 18 10 small boxes and wrote out praises for 10 friends. Just 19 this brought herjoy so she bought 20 more boxes to spread the love even 20 ."I know everyone is 21 some kind of struggle and I just thought it would be nice to support them anyway I could," Wybenga said, " 22 I didn't know what they were going through."The 38-year-old tried to send her boxes of hope anonymously(匿名地), 23 "a friend" on the bottom of each card. She mailed some packages and sent others to the doorsteps of those who were 24 to her home secretly. In order not to be 25 , she even dressed up herself in black and wore a mask so if people had 26 on doors, they wouldn't know it was her.All the effort to remain anonymous didn't 27 much of the time because Wybenga's 28 was recognized by some friends. Other looked up her 29 on the package and discovered it was her.Now she decided to share the story 30 , hoping to encourage someone else to spread 31 .17. A.luck B.happiness C.wealth D.advantage18. A.made B.borrowed C.bought D.created19. A.exchanging B.improving C.organizing D.doing20. A.further B.faster C.better D.earlier21. A.making up B.dealing with C.finding out D.thinking about22. A.because B.before C.though D.if23. A.signing B.checking C.contacting D.arranging24. A.addicted B.attracted C.close D.used25. A.refused B.seen C.forgotten D.recognized26. A.phones B.cameras C.sources D.solutions27. A.work B.appear C.happen D.leave28. A.face B.dress C.voice D.handwriting29. A.address B.picture C.name D.design30. A.slowly B.extremely C.obviously D.publicly31. A.knowledge B.warning C.kindness D.news四、语法填空阅读下面短文,在空白处填入1个适当的单词或括号内单词的正确形式。
九年级物理学科限时训练练习题九年级物理学科限时训练练习题( 2022 年 9 月 27 日)班级:___________ 姓名:________________一、填空题(每空2分,共80分)1. 不同的物质在相互接触时彼此进入对方的现象叫做_________________ ;扩散现象等大量事实表明,一切物质的分子都在不停地______________.温度越________ ,分子运动越剧烈。
2. 如图所示,在一个装有密度比空气大的红棕色二氧化氮气体的瓶子上面倒扣一个空瓶子,抽掉玻璃板,在常温下经过一段时间后,可看到上下两个瓶子内气体的颜色变均匀.该实验现象说明_________________________ .若将两个瓶子的位置对调,_____ (选填“能”或“不能”)得到相同的结论。
(第2题图)(第3图)(第4题图)(第5题图)3. 如图所示,两个“粘”在一起的铅柱没有被重物拉开,这一实验现象说明______________.用力压铅柱时,发现铅柱很难被压缩,说明______________.4.如图所示,在一个配有活塞的厚壁玻璃筒里放一小团硝化棉,用力把活塞迅速压下,棉花会立即燃烧,使棉花燃烧的过程是将_______能转化为_____能;活塞下压过程中,气体的内能___________.5. 如图所示实验中,当塞子从试管口喷出时,试管口出现的“白气”是________(物态变化名称)形成的.活塞喷出的过程中水蒸气的内能_______,活塞的机械能_______(以上两空均选填“增大”“减小”或“不变”).6. 改变物体的内能有两种方法:__________ 和________。
7. 如图所示是四冲程汽油机工作示意图,图甲、乙、丙、丁分别表示汽油机的________ 、________ 、________ 、________ 冲程,压缩冲程中将________能转化为________能,做功冲程中将_______能转化为________能.第7题图8. 南极洲的冰川________(选填“具有”或“不具有”)内能,古人钻木取火是通过________的方式来改变物体内能的.9. 云南省罗富县有一长达27 km的连续下坡山区公路,有经验的老司机在下坡前往往先在汽车的各个轮胎上浇水,防止在下坡时因连续刹车使轮胎和刹车片过热,容易造成交通事故,用水作冷却剂是利用了水的________大的特点,汽车在连续刹车过程中产生的内能部分被轮胎上的水吸收,水的温度将________(选填“升高”“不变”或“降低”).10.我们每天都在产生大量垃圾,合理分类和利用垃圾是我们面临的一个重大课题.某垃圾处理厂处理垃圾时提炼出了200 kg燃料油,若燃料油的热值为4.0×107 J/kg,则这些燃料油完全燃烧放出的热量为________J,燃料油燃烧时发热,燃料油的化学能转化为________能.11.已知水的比热容为4.2×103 J/(kg·℃),其表示的物理意义是___________________________________________ ;12. 两个杯子中分别盛有质量相同的冷水和热水,向其中分别放入同样的糖块,经过一段相同的时间(两杯中的糖块都还没有全部溶解),品尝杯中的水,水是甜的,说明分子发生了________现象,________(选填“冷水”或“热水”)杯中的水更甜.13.2019年6月5日,我国首次用固体燃料运载火箭把“文昌物联一号”卫星成功送上太空.火箭发射时要选用热值________(选填“大”或“小”)的固体燃料,燃料的质量减少,热值______(选填“变小”或“不变”).14. 非物质文化遗产——画“糖人”,是我国的一种民间艺术.其作画过程是:艺人先将红(白)糖放在热锅里,由于________(选填“做功”或“热传递”),糖的内能增大、温度升高而熔化.然后用小勺子将糖汁淋在玻璃上或刻画有戏曲人物、小动物等的造型模板上,待糖汁________(填物态变化名称)后,栩栩如生的“糖人”就制成了.15.网红“木桶鱼”是在木桶里放入高温的鹅卵石,再加入调制好的鱼和汤,鹅卵石放热使汤沸腾,则质量为1 kg的鹅卵石从300 ℃降到250 ℃放出的热量是________J;用锅盖紧密盖住木桶,桶内气压升高,则汤的沸点会__________(选填“升高”“降低”或“不变”).[c 鹅卵石=0.8×103 J/(kg·℃)]16. 在医院等公共场所设有“禁止吸烟”的标志,这是因为在公共场所“一人吸烟,多人被动吸烟”,这种说法的依据是:组成物质的分子在永不停息地做____________.冬天手冷时,我们用搓手的方式使手变暖和,这是采用__________的方式来增加手的内能.三、实验、探究题17. (10分)为了比较水和煤油吸热本领的大小,某同学做了如图所示的实验.在两个相同的烧杯中,分别装有水和煤油,用相同的电热器分别对它们加热相同的时间.加热时物质质量/g 初温/℃末温/℃间/min水60 20 45 6煤油60 20 70 6第17题图(1)实验中应保证水和煤油的初温与________(选填“质量”或“体积”)都相同.(2)实验中选用相同的电热器对水和煤油加热相同的时间,水吸收的热量________(选填“大于”“等于”或“小于”)煤油吸收的热量.(3)对水和煤油加热相同的时间后,可以观察到水升高的温度________(选填“高于”“等于”或“低于”)煤油升高的温度.(4)实验表明,________(选填“水”或“煤油”)的吸热能力更强.在物理学中,我们用________这一物理量来描述物质的这种特性.四、综合题(10分)18. 在一个标准大气压下,用炉子将10 kg的水从20 ℃加热至沸腾,燃烧了0.5 kg的焦炭,已知水的比热容为4.2×103 J/(kg·℃),焦炭的热值为3.0×107 J/kg.求:(1)水吸收的热量;(2)0.5 kg焦炭完全燃烧释放的热量;(3)炉子烧水的效率.。
提能拔高限时训练50 随机事件的概率一、选择题 1.从存放号码分别为1,2,…,10的卡片的盒子中,有放回地取100次,每次取一张卡片并记下号码,统计结果如下:卡片号码 1 2 3 4 5 6 7 8 9 10 取到的次数 13 8 5 7 6 13 18 10 11 9 则取到号码为奇数的频率是( )A .0.53B .0.5C .0.47D .0.37 解析:10011186513++++=0.53,故选A .答案:A 2.一个口袋中装有大小相同的2个白球和3个黑球,从中摸出一个球,放回后再摸球,则摸出的两球恰好颜色不同的概率为( ) A .256 B .2512 C .53 D .52 解析:由题意,知所求概率251255221312=⨯••=C C C P ,故选B .答案:B3.从20名男同学、10名女同学中任选3名参加体能测试,则选到的3名同学中既有男同学又有女同学的概率为( )A .299B .2910C .2919D .2920解析:由题意,知所求概率29201330310320=+-=C C C P ,故选D . 答案:D4.小明同学在网易上申请了一个电子信箱,密码由4位数字组成,现在小明只记得密码是由2个6,1个3,1个9组成,但忘记了它们的顺序,那么小明试着输入由这样4个数组成的一个密码,则他恰好能输入正确密码进入邮箱的概率是( ) A .61 B .81 C .121 D .241 解析:由2个6,1个3,1个9这4个数字一共组成2244A A =12种不同的密码顺序,因此小明试着输入由这样4个数组成的一个密码,他恰好能输入正确密码进入邮箱的概率P =121,故选C . 答案:C5.福娃是北京第29届奥运会吉祥物,每组福娃都由“贝贝”“晶晶”“欢欢”“迎迎”和“妮妮”这五个福娃组成,甲、乙两位好友分别从同一组福娃中各随机选择一个福娃留作纪念,按先甲选再乙选的顺序不放回地选择,则在这两位好友所选择的福娃中,“贝贝”和“晶晶”恰好只有一个被选中的概率为( ) A .101 B .51 C .53 D .54 解析:由题意,知所求概率531415131212==C C C C C P ,故选C . 答案:C6.在某地的奥运火炬传递活动中,有编号为1,2,3,…,18的18名火炬手.若从中任选3人,则选出的火炬手的编号能组成以3为公差的等差数列的概率为( ) A .511 B .681 C .3061 D .4081 解析:属于古典概型问题,基本事件总数为318C =17×16×3,选出火炬手编号为a n =a 1+3(n -1)(1≤n ≤6), a 1=1时,由1,4,7,10,13,16可得4种选法; a 1=2时,由2,5,8,11,14,17可得4种选法; a 1=3时,由3,6,9,12,15,18可得4种选法. 故所求概率68131617444444318=⨯⨯++=++=C P . 答案:B7.如图,三行三列的方阵有9个数a ij (i =1,2,3;j =1,2,3),从中任取三个数,则至少有两个数位于同行或同列的概率是( )⎪⎭⎪⎬⎫⎪⎩⎪⎨⎧333231232221131211a a a a a a a a a A .73 B .74 C .141 D .1413解析:从中任取三个数共有C 39=84种取法,没有同行、同列的取法有111213C C C =6种,至少有两个数位于同行或同列的概率是14138461=-. 答案:D8.从0,1,2,3,4,5,任取三个数字组成三位数,然后拿出卡片若干,每一张卡片上写上一个三位数,最后把所有写着三位数的卡片混合后放在一个箱子里,现从中任取一张卡片,则卡片上的三位数不大于320的概率是( ) A .51 B .18069 C .150109 D .18071 解析:所有卡片数为2616A C =180,其中卡片上以1为首位的三位数共有26A 张,以2为首位的三位数有26A 张,以3为首位,以0,1为十位的三位数有1512A C 张,卡片上的三位数不大于320的共有7112151226=++A C A 张,所以概率为18071. 答案:D9.将7个人(含甲、乙)分成三个组,一组3人,另两组各2人,不同的分组数为a,甲、乙分在同一组的概率为P,则a 、P 的值分别为( )A .a =105,P =215 B .a =105,P =214 C .a =210,P =215 D .a =210,P =214解析:将7个人分成三组按要求有22222437A C C C =105种分法,将甲、乙两人分在同一组有两种情况:①在三人一组,这时有22222415A C C C 种情况;②在两人一组,这时有35C 种情况. ∴2151053522222415=+=C A C C C P . 答案:A10.连掷两次骰子得到的点数分别为m 和n,记向量a =(m,n )与向量b =(1,-1)的夹角为θ,则θ∈(0,2π]的概率是( ) A .125 B .21 C .127 D .65解析:∵m>0,n >0,∴a =(m,n )与b =(1,-1)不可能同向. ∴夹角θ≠0. ∴θ∈(0,2π]⇔a·b ≥0. ∴m-n ≥0,即m ≥n.当m =6时,n =6,5,4,3,2,1; 当m =5时,n =5,4,3,2,1; 当m =4时,n =4,3,2,1; 当m =3时,n =3,2,1; 当m =2时,n =2,1; 当m =1时,n =1. ∴所求概率12766123456=⨯+++++=P .答案:C 二、填空题 11.将3个不同的小球随意地放入4个不同的盒子内,则3个小球恰在3个不同的盒子内的概率为____________.解析:由题意,知所求概率为834334==A P .答案:83 12.两部不同的长篇小说各由第一、二、三、四卷组成,每卷一本,共8本,将它们任意地排成一排,左边四本恰好都属于同一本小说的概率是________.(结果用分数表示)解析:由题意,知所求概率为3512884444==A A A P . 答案:35113.在平面直角坐标系中,从六个点:A (0,0)、B (2,0)、C (1,1)、D (0,2)、E (2,2)、F (3,3)中任取三个,则这三点能构成三角形的概率是_________.(结果用分数表示)解析:已知A 、C 、E 、F 共线;B 、C 、D 共线;六个无共线的点生成三角形的总数为36C ;可构成三角形的个数为15333436=--C C C ,所以所求概率为4336333436=--C C C C . 答案:43 14.将一枚骰子抛掷两次,若先后出现的点数分别为b 、c,则方程x 2+bx +c =0有实根的概率为___________.解析:一枚骰子掷两次,其基本事件总数为36,方程有实根的充要条件为b 2≥4C .b 1 2 3 4 5 6使b 2≥4c 的基本事件个数 0 1 2 4 6 6 由此可见,使方程有实根的基本事件个数为1+2+4+6+6=19,于是方程有实根的概率为P =3619. 答案:3619 三、解答题15.甲、乙两人用4张扑克牌(分别是红桃2,红桃3,红桃4,方片4)玩游戏,他们将扑克牌洗匀后,背面朝上放在桌面上,甲先抽,乙后抽,抽出的牌不放回,各抽一张.(1)设(i,j )分别表示甲、乙抽到的牌的数字,写出甲、乙两人抽到的牌的所有情况. (2)若甲抽到红桃3,则乙抽到的牌面数字比3大的概率是多少?(3)甲、乙两人约定:若甲抽到的牌面数字比乙大,则甲胜;否则,则乙胜.你认为此游戏是否公平,请说明你的理由. 解:(1)甲、乙两人抽到的牌的所有情况(方片4用4′表示)为(2,3)、(2,4)、(2,4′)、(3,2)、(3,4)、(3,4′)、(4,2)、(4,3)、(4,4′)、(4′,2)、(4′,3)、(4′,4),共12种不同情况. (2)甲抽到3,乙抽到的牌只能是2,4,4′,因此乙抽到的牌的数字比3大的概率为32. (3)由甲抽到的牌比乙大有(3,2)、(4,2)、(4,3)、(4′,2)、(4′,3)共5种,甲获胜的概率为P 1=125,乙获胜的概率为P 2=127, ∵125<127,∴此游戏不公平. 16.甲、乙等五名奥运志愿者被随机地分到A,B,C,D 四个不同的岗位服务,每个岗位至少有一名志愿者. (1)求甲、乙两人同时参加A 岗位服务的概率; (2)求甲、乙两人不在同一个岗位服务的概率.解:(1)记甲、乙两人同时参加A 岗位服务为事件E a ,那么401)(442533==A C A E P A ,即甲、乙两人同时参加A 岗位服务的概率是401. (2)设甲、乙两人同时参加同一岗位服务为事件E,那么101)(442544==A C A E P ,所以,甲、乙两人不在同一岗位服务的概率是109)(1)(=-=E P E P . 教学参考例题 志鸿优化系列丛书【例1】 将一颗骰子先后抛掷2次,观察向上的点数,求: (1)两数之和为6的概率;(2)两数之积是6的倍数的概率;(3)以第一次向上的点数为横坐标x,第二次向上的点数为纵坐标y 的点(x,y )在直线x -y =3的下方区域的概率.解:(1)两数之和为6的概率为365.表1(2)此问题中含有36个等可能基本事件,记“向上的两数之积是6的倍数”为事件A,则由表1可知,事件A 中含有其中的15个等可能基本事件,所以1253615)(==A P . 故两数之积是6的倍数的概率为125.表2(3)此问题中含有36个等可能基本事件,记“点(x,y )在直线x -y =3的下方区域”为事件B,则由表2可知,事件B 中含有其中3个等可能基本事件,所以121363)(==B P . 故点(x,y )在直线x -y =3的下方区域的概率为121. 【例2】 一个袋中装有大小相同的黑球、白球和红球.已知袋中共有10个球.从袋中任意摸出1个球,得到黑球的概率是52;从袋中任意摸出2个球,至少得到1个白球的概率是97.求: (1)从中任意摸出2个球,得到的都是黑球的概率;(2)袋中白球的个数.解:(1)由题意知,袋中黑球的个数为45210=⨯. 记“从袋中任意摸出两个球,得到的都是黑球”为事件A,则152)(21024==C C A P .(2)记“从袋中任意摸出两个球,至少得到一个白球”为事件B .设袋中白球的个数为x,则971)(1)(210210=-=-=-C C B P B P x. 得到x =5.。
七年级上册语文限时训练1.下列加点字注音完全正确....的一项是()(3分)A. 棱.镜(línɡ)整宿.(xiǔ)静谧.(mì)小心翼.翼(yì)B. 分歧.(qí)绽.开(zhn)倜傥.(tǎnɡ)疲惫不堪.(kān)C. 着.落(zhuó)憔悴.(cuì)模.仿(mó)咄.咄逼人(duō)D. 贮.蓄(zhù)粗犷.(kuànɡ)一霎.(chà)恍.然大悟(huǎnɡ)2.下列各句中,加点的词语使用正确的一项是()(3分)A. 雨下得很大,淅淅沥沥....地,地上到处是积水。
B. 父亲生病住院,友人短信慰问:“家君..情况如何?”C. 有疑难问题时,我们一定要不耻下问....,虚心向老师请教。
D. 社会主义和谐社会是一个能使全体人民各尽所能,各得其所....的社会。
3.下列有关文学常识及课文内容表述不正确...的一项是()(3分)A. 优美的散文讲究精巧的构思.刘湛秋的《雨的四季》写了雨在四季中的不同形象和形态;朱自清的《春》描绘了一个蓬蓬勃勃的春天.两文都采用了总-分-总的结构。
B. 优秀的教师总是受到学生的爱戴.《再塑生命》一文,字里行间流露出对莎莉文老师的无比热爱和感激;《从百草园到三味书屋》中我们读出鲁迅敬慕先生的渊博。
C. 经典的魅力是无穷的.《论语》由孔子的弟子和再传弟子编写而成,首创语录体;《世说新语》由刘义庆组织人员编写,是我国最早的一部神魔小说集。
D. 微小平常的生活细节往往很感人.《秋天的怀念》中母亲对孩子的呵护、宽慰、理解等,《散步》中母亲对孩子的顺从等都让我们看到了伟大的母爱。
4.下列关于名著《西游记》的表述正确的一项是()(3分)A. 孙悟空从须菩提祖师处学得七十二变、筋斗云等神通,又从龙宫索取如意金箍棒作为兵器,因大闹天宫被如来佛祖压在五指山下。
B. 为试探师徒四人的禅心是否坚定,铁扇公主假意要招他们为夫婿。
高考数学客观题限时训练习题(十一套)高考数学客观题限时训练一班级 姓名 学号 记分1、已知集合{}{}|12,|35A x a x a B x x =-≤≤+=<<,则能使A B ⊇成立的实数a 的取值范围是( )A .{}|34a a <≤B .{}|34a a <<C .{}|34a a ≤≤D .∅ 2、等比数列{}n a 中,0n a >且21431,9a a a a =-=-,则45a a +等于( ) A .16 B .27 C .36 D .27- 3、不等式2103x x -≤的解集为( )A .{|2x x ≤≤ B .{}|25x x -≤≤ C .{}|25x x ≤≤ D .{}5x x ≤ 4、曲线24y x =关于直线2x =对称的曲线方程是( )A .2164y x =-B .284y x =-C .248y x =-D .2416y x =-5、已知()321233y x bx b x =++++是R 上的单调增函数,则b 的范围( )A .1b <-或2b >B .1b ≤-或2b ≥C .12b -<<D .12b -≤≤6、直线l 是双曲线()222210,0x y a b a b-=>>的右准线,以原点为圆心且过双曲线的焦点的圆被直线l 分成弧长为21∶的两段圆弧,则该双曲线的离心率是( )A B C D7、空间四点A B C D 、、、,若直线,,AB CD AC BD AD BC ⊥⊥⊥同时成立,则A B C D 、、、四点的位置关系是( )A .一定共面B .一定不共面C .不一定共面D .这样的四点不存在8、()f x 是定义在R 上的奇函数,它的最小正周期为T ,则2T f ⎛⎫- ⎪⎝⎭的值为( )A .0B .2TC .TD .2T-9、已知实数x y 、满足22326x y +=,则2x y +的最大值为( ) A .4 BC. D10、函数222x y e -=的图象大致是( )选择题答案栏11、直线20x y m ++=按向量()1,2a =--平移后与圆22:240C x y x y ++-=相切,则实数m 的值为____________.12、在()()10211x x x ++-的展开式中,4x 项的系数是_______________.13、12名同学分别到三个不同的路口进行车流量的调查,若每个路口4人,则不同的分配方案共有____________14、函数()f x =是奇函数的充要条件是____________ABCD15、260100x y x x y +-≤⎧⎪+≥⎨⎪-≤⎩,z mx y =+取得最大值的最优解有无数个,则m 等于16、在下列四个命题中,①函数2cos sin y x x =+的最小值是1-。