2020届高一下周练周考重做
2019-2020年高一下学期第十三次周练语文试题 含答案
2019-2020年高一下学期第十三次周练语文试题含答案一、基础测试1.下列词语中加点字的注音,有误的一项是( )A.殷.勤(yīn)尽.管(jǐn)矜.持(jīn) 泾.渭分明(jīnɡ)B.挚.友(zhì) 忧.郁(yōu)窘.状(jiǒnɡ) 处.世立身(chǔ)C.模.样(mó) 景.仰(jǐnɡ)肺腑.(fǔ) 不尴.不尬.(ɡān ɡà)D.缩.小(suō) 周折.(zhé)讨嫌.(xián) 热情可掬.(jū)2.下列各组词语中,没有错别字的一组是( )A.溃烂履行恭维慎言谨行B.施暴拘谨就坐逢场做戏C.初衷难堪承幸生硬刻版D.辽远至理包揽立身处事3.依次填入下列横线处的词语,最恰当的一组是( )①美国的无人机使用正走向“失控”,对国际秩序和他国人民的安全构成了巨大威胁。
8月13日,联合国秘书长潘基文访问巴基斯坦期间,批评美国________利用无人机发动越境袭击的行动,称这种行动应受到国际法________。
②在中国听众听来,柴可夫斯基的旋律纯属俄罗斯风格,________与人以窠臼的感觉,但他的曲式不拘泥于规则,音乐有标题性。
旋律清新、优美、感人,配器艳丽而色彩丰富,即使在众多的俄罗斯音乐家中,其创作风格也是________的。
A.肆意制约难免独树一帜B.任意制裁可能绝无仅有C.随意限制未免独一无二D.决意约束也许别具一格4.下列句子中,加点的成语使用恰当的一项是( )A.自中央的八项规定出台以来,我国的政治环境发生了变化,今年春节期间公款吃喝,请客送礼现象明显减少,广大群众对返璞归真....的节日表示欢迎。
看来,风清气正是众望所归。
B.屡屡发生的“扶人”被讹事件,使得人们面对等待救助的陌生人不敢上前。
扶危济困这一中国人曾引以为傲的传统美德,如雪泥鸿爪....,几乎无迹可寻。
这值得全社会的反思。
C.在xx索契冬奥会速度滑冰女子1000米比赛中,我国运动员张虹不畏强手,最终勇夺金牌,铩羽而归....。
高一年级数学第二次周练试卷
第1页/(共2页) 第2页/(共2页)2020届高一下学期数学第二次周考试题一、选择题:(本大题共10小题,每小题5分,共50分.)1.等比数列{}n a 的前n 项和为n S ,已知3215109S a a a =+= ,,则1( )a =A.19 B. 19- C. 13 D. 13- 2.已知等比数列前n 项和为S n ,若244,16S S ==,则8( )S = A.160 B.64 C.-64 D. -1603. 已知等比数列{}n a 的前n 项和为n S ,若321440a a a -+=,则84SS =()A. 17B. 18C. 19D. 20 4. 在等比数列{}n a 中,已知前n 项和1=5n n S k ++则k 的值为( ) A. -1 B. 1 C. -5 D. 5 5. 已知{}n a 为等比数列, 472a a +=,568a a =-,则110a a +=( )A. 7B. 5C. 5-D. 7-6.在等比数列{}n a 中,若78910158a a a a +++=,8998a a ⋅=-,则789101111a a a a +++=() A. 53 B. 53- C. 56 D. 56-7.已知数列{}n a 的前n 项和为n S ,11a =,12n n S a +=,,则n S =( )A .12-n B .121-n C .1)32(-n D .1)23(-n8. 等差数列{a n }中,15,a =-,它的前11项的平均值是5,若从中抽取1项,余下的10项的平均值是4,则抽取的是( )A. a 11B. a 10C. a 9D. a 89. 已知正项数列{}n a 满足221120n n n n a a a a ++--=,设121log n n ab a +=,则数列{}n b 的前n 项和为( ) A. n B.()12n n - C.()12n n + D.()()122n n ++10. 已知数列{}n b 为等比数列,且首项11b =,公比2q =,则数列{}21n b -的前10项的和为( )A.()94413- B. ()104413- C. ()91413- D. ()101413- 二、填空题(本大题共4小题,每小题5分,共20分.)11. 已知数列{a n },满足111n n a a +=-,若112a =,则a 2009=________________.12. 三个数成等比数列,他们的和为14,积为64,这三个数依次排列为_______________.13.已知{}n a 是等比数列,其中18,a a 是关于x的方程22sin 0x x -α-α=的两根,且21836()26a a a a +=+,则锐角α的值为_______________.14. 已知{}n a 与{}n b 是两个公差为1的等差数列,它们的首项和分别为1a 和1b ,且1b N +∈若120162a b +=-,设(),n b c a n N +=∈则数列c 的通项公式为________________.11. 12.___________ 13. 14.___________ 三、解答题:(本大题共2小题每题15分.解答应写出文字说明,证明过程或演算步骤.) 15. 已知数列的{}n a 前n 项和为n S ,满足11a =,125n n n S S a +=++.(1)证明:{}5n a +是等比数列; (2)若5128n S n +>,求n 的最小值.16. 已知数列{}n a 是等差数列,且12a =,12312a a a ++=.⑴ 求数列{}n a 的通项公式; ⑵ 令nn n b a =⋅3*(N )n ∈,求数列{}n b 的前n 项和.。
2020-2021学年高一英语下学期第一次周练试题
2020-2021学年高一英语下学期第一次周练试题第一部分:听力(共两节,满分30分)省略第二部分: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。
Choose Your One-Day-Tours!Tour A- Bath &Stonehenge: including entrance fees to the ancient Roman bathrooms and Stonehenge -£37 until 26 March and £39 thereafter. Visit the city with over 2,000 years of history and Bath Abbey, the Royal Crescent and the Costume Museum, Stonehenge is one of the world's most famous prehistoric monuments dating back over 5,000 years.Tour B - Oxford & Startford: including entrance fees to the University St Mary's Church Tower and Anne Hathaway's -£32 until 12 March and £36 thereafter. Oxford: Includes a guided tour of England's oldest university city and colleges. Look over the "city of dreaming spires(尖顶)"from St Mary’s Church Tower. Stratford: Includes a guided tour exploring much of the Shakespeare wonder.Tour C - Windsor Castle &Hampton Court: including entrance fees to Hampton Court Palace -£34 until 11 March and £37 thereafter. Includes a guided tour of Windsor and Hampton Court, Henry VILL's favorite palace. Free time to visit Windsor Castle(entrance fees not included).With 500 years of history, Hampton Court was once the home of four Kings and one Queen. Now this former royal palace is open to the public as a major tourist attraction. Visit the palace and its various historic gardens, which include the famous maze(迷宫)where it is easy to get lost!Tour D–Cambridge: including entrance fees to the Tower of Saint Mary the Great -£33 until 18 March and £37 thereafter. Includes a guided tour of Cambridge, the famous university town, and the gardens of the 18th century.21.Which tour will you choose if you want to see England’s oldest university city?A. Tour AB. Tour BC. Tour CD. Tour D22.Which of the following tours charges the lowest fee on 17 March?A. Windsor Castle & Hampton CourtB. Oxford & StratfordC. Bath & StonehengeD. Cambridge23.Why is Hampton Court a major tourist attraction?A. It used to be the home of royal familiesB. It used to be a well-known mazeC. It is the oldest palace in BritainD. It is a world-famous castleBGrandma Moses is among the most famous twentieth-century painters of the United States,yet she did not start painting until she was in her late seventies.As she once said to herself:" I would never sit back in a rocking chair,waiting for someone to help me. " No one could have had a more productive old age.She was born Anna Mary Robertson on a farm in New York State,one of five boys and five girls.At twelve she left home and was in domestic service until,at twenty-seven,she married Thomas Moses,the hired hand of one of her employers.They farmed most of their lives,first in Virginia and then in New York State,at Eagle Bridge.She had ten children,of whom five survived;her husband died in 1927.Grandma Moses painted a little as a child and made embroidery(刺绣) pictures as a hobby,but only changed to oils in old age because her hands had bee too stiff(僵硬的) to sew and she wanted to keep busy and pass the time. Her pictures were first sold at the local drugstore and at a market and were soon noticed by a businessman who bought everything she painted.Three of the pictures exhibited(展览) in the Museum of Modern Art,and in 1940 she had her first exhibition in New York.Between the 1930's and her death,she produced some 2,000 pictures:careful and lively portrayals of the country life she had known for so long,with a wonderful sense of color and form."I think really hard till I think of something really pretty,and then I paint it" she said.24.According to the passage,Grandma Moses began to paint because she wantedto________.A.make herself beautiful B.keep activeC.earn more money D.bee famous25.Grandma Moses spent most of her life________.A.nursing B.painting C.embroidering D.farming26.The underlined word “portrayals ”means________.A. descriptionsB. expressionsC. explanationsD. impressions 27.Which of the following would be the best title for the passage?A.Grandma Moses:Her Life and Pictures.B.The Children of Grandma Moses.C.Grandma Moses:The Best Painter.D.Grandma Moses and Her Exhibition.CWe all know what a brain is. A doctor will tell you that the brain is the organ of the body in the head. It c ontrols our body’s functions, movements, emotions and thoughts. But a brain can mean so much more.A brain can also simply be a smart person. If a person is called brainy, she is smart and intelligent. If a family has many children but one of them is super smart, you could say “She’s the brains in the family.” And if you are the brains behind an organization, you are responsible for developing or organizing it.Brain trust is a group of experts who give advice. Word experts say the phrase “brain trust” bec ame popular when Franklin D. Roosevelt first ran for president in 1932. Several professors gave him advice on social and political issues facing the U.S. These professors were called his “brain trust.”These ways we use the word “brain” all make sense. But other ways we use the word are not so easy to understand. For example, to understand the next brain expression, you first need to know the word “drain”. As a verb, to drain means to remove something by letting it flow away. So a brain drain may sound like a disease where the brain flows out the ears. But, a brain drain is when a country’s mosteducated people leave their countries to live in another. The brains are, sort of, draining out of the country.However, if people are responsible for a great idea, you could say they brainstormed it. Here, brainstorm is not an act of weather. It is a process of thinking creatively about a plex topic. For example, business leaders may use brainstorming to create new products, and government leaders may brainstorm to solve problems.If people are brainwashed, it does not mean their brains are nice and clean. To brainwash means to make someone accept new beliefs by using repeated pressure in a forceful or tricky way. Keep in mind that brainwash is never used in a good way. 28.Why did Roosevelt successfully win the election according to the passage?A.Because he was the brain trust of Americans.B.Because he got his brain trust.C.Because he was smart at giving advice.D.Because word experts say he is “the brain trust”.29.According to the text, if you’re the CEO of Bai Du you can be called_______ .A.the organ of Bai Du B.the brain drain of Bai DuC.the brains behind Bai Du D.Bai Du’s brain trust30.Which of the following expressions is always used in an impolite way?A.Brainstorm B.Brain trust C.Brainwash D.Brain drain 31.What’s the main idea of this article?A.The origin of the word “brain”.B.The word “brain” and its stories.C.The brain is an important organ of the body.D.How to use your brain more effectively.DA Japanese tele pany has designed a robot that it says has emotions(情绪). But rather than run in fear from it, we’ve weled it into our homes: Pepper, the “emotional robot,” sold out within a minute of going on sale.Created by Aldebaran Robotics and Japanese mobile giant SoftBank, Pepper wenton sale to the general public in Japan June 20. It is “the first humanoid(类人的) robot designed to live with humans,” Aldebaran says on its website. Pepper costs about $1,600. And like all good mobile products, there’s a $120 per month data fee, as well as an $80 per month damage insurance fee. According to a news report, Pepper can pick up on human emotions and create his own using a “multi-layer neural(神经的) network.” Pepper’s touch sensors and camera s are said to influence its mood, which is displayed(展示) on the tablet-sized screen on its chest.Pepper will sigh when unhappy, and can go around your house recording your family’s daily activity. Aldebaran says Pepper can feel “joy, surprise, anger, doub t and sadness,” but it doesn’t say how strongly it can feel these emotions. What happens when Pepper is having a bad day? Will it, like many humans, bee uncooperative? Will it ask for some time alone? What happens if it knows that its purpose in life is just to take part in small talk? Thankfully, Pepper is only about four feet tall, with roller balls instead of legs, so if it is angry with and even turns on its owners, you’ll be safe if you can make it upstairs.Aldebaran says in reality, they’re probably quite a few years away from artificial intelligence that could create real emotions. Aldebaran wasn’t immediately able to tell when Pepper will be available(可得的) out of Japan, but additional sales are scheduled for July after the first 1,000 units sell out. SoftBank currently uses the robots in its stores as greeters, and it plans to offer Pepper to other stores in the future. Hopefully “boredom” is not an emotion Pepper can feel.32.According to the author, Pepper ________.A.is very popular among customersB.can not only run but also show fearC.is going to be sold all over the worldD.can deal with many kinds of housework33.How much do you need to pay for Pepper’s data and damage insurance fee each year? A.80 dollars. B.120 dollars. C.1,440 dollars. D.2,400 dollars. 34.Pepper’s height and roller balls are mentioned to ________.A.introduce its appearance B.tell Pepper won’t get angryC.show that safety isn’t a big issue D.explain robots have strong emotions 35.What can we infer from the last paragraph?A.Pepper cannot produce real emotions.B.Pepper can feel joy, surprise and boredom.C.Pepper will be sold in other countries next year.D.Pepper is being used as waiters in some restaurants.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7个选项中为每空选出能填入空白处的最佳选项,选项中有两项为多余选项。
2019-2020年高一下学期第七次周练 英语试题 含答案
2019-2020年高一下学期第七次周练英语试题含答案第二部分:英语知识运用(共两节,满分35分)第一节:单项填空(共15小题;每小题1分,共15分)从A、B、C、D四个选项中,选出适合空白处的最佳选项。
11.You are saying that everyone should be equal,and this is I disagree.A.whyB.whereC.whatD.how12.The road is covered with snow.I can't understand they insist on going by motorbike.A.whyB.whetherC.whenD.how13.Why!I have nothing to confess(坦白). you want me to say?A.What is it thatB.What it is thatC.How is it thatD.How it is that14.Perseverance(毅力) is a kind of quality—and that's it takes to do anything well.A.whatB.thatC.whichD.why15.—I think it's going to be a big problem.—Yes,it could be.—I wonder we can do about it.A.ifB.howC.whatD.that16.—How are the team playing?—They're playing well,but one of them hurt.A.gotB.getsC.areD.were17.—What do you think of the building built to the shape of nature?—.A.Yes,I like its shapeB.What I like is the colourC.It's really like a bird netD.I really think it is wonderful18.The little chick the earthworm,deciding whether to swallow it or let it go.A.stared atB.glimpsed atC.looked intoD.glared at19.Was it Tom's carelessness your keys were lost?A.because;whichB.for;whatC.because of;thatD.since;why20.The southern part of the country hot and moist all summer.A.continuesB.goesC.stayssts21.He saved the drowning boy that winter,and was a hero for his courageous deeds.A.honouredB.honoured asC.honoured withD.honoured for22.An awful accident ,however,occur the other day.A.doB.didC.has toD.had to23.You'll find this map of great in helping you to get around London.A.priceB.costC.valueefulness24.I him to give up smoking,but he didn't listen.A.preferredB.hopedC.advisedD.suggested25.—Good morning. ?—I'd like to have a pair of glasses.A.What can I do for youB.What do you like to haveC.What do you want to buyD.Do you like me to do it for you第二节:完形填空(共20小题;每小题1分,共20分)阅读下面短文,从短文后所给各题的四个选项(A、B、C、D)中选出能填入空白处的最佳选项。
湖北省沙市中学2020-2021学年高一下学期第二次周练英语试题答案
高一年级第二次周练英语答案一、1.C2.A3.C4.B5.A6.B7.A8.C9.B10.C11.A12.A13.C14.B15.B16.C17.B18.A19.C20.A二、21.【答案】B【解析】推理判断题。
根据Monkeys do math部分的monkeys showed an understanding of pricing and planning the money, as well as a wish to stay away from losses when required to buy food with money.(猴子们表现出了对定价和理财的理解,以及在需要用钱购买食物时避免损失的愿望)可推知,猴子在智力上表现得像人类。
故B选项正确。
22.【答案】A【解析】细节理解题。
根据Camel eats breakfast with people部分的Now the couple, who rent out reindeer, camels, goats, and other creatures for television shows, movies, and photo shoots (现在,这对夫妇把驯鹿、骆驼、山羊和其他动物出租出去用于电视节目、电影和摄影)可知,这对英国夫妇养这些动物是为了赚钱。
故A选项正确。
23.【答案】D【解析】推理判断题。
根据Marmots befriend a boy部分的A group of marmots in the Austrian Alps has made friends with eight-year-old Matteo Walch by chance, whose family vacations there in summer.可推知,马泰奥·瓦尔奇去奥地利阿尔卑斯山是和家人一起去度假的。
故D选项正确。
24.【答案】D【解析】推理判断题。
重庆一中高2020级高三下期第二次周考(参考答案)
4 4k 2 1 4k 2
4 4k 2 4 k2
2
(1 k 2 )2
4
(1 4k 2 4 k 2 )2 5
2
当且仅当1 4k 2 4 k 2 k 2 1 k 1 时取等号 …………12 分
21 解 : ( Ⅰ ) m 1 时 , f (x) x2 2xlnx f /(x) 2x21 2x2 2x1(x0) f /(1) 1,k 1 xx
cos C
解:(I)由已知
2 sin
A sin C
, 即 cos C sin B
2sin
A sin Ccos B,
cos B
sin B
sin B C 2sin Acos B,
18.解:(Ⅰ)女生打分平均数 1(68+69+76+75+70 78+79+82+87+96 )= 78 , 10
又∵平面 SCD ⊥平面 ABCD , 平面 SCD ∩平面 ABCD CD , S 在平面 SCD 内
∴ SE 面ABCD ∴ SE 即为 S 到平面 BCQ 的距离,即 SE h ………………8 分
在 SCD 中, SC SD CD 2, ∴ SE 3
在直角梯形 ABCD 中,易求得: BC 3 ∵ M , N 为中点 ∴
MN // AB ∴ AB // 面MNPQ
又∵平面 MNPQ ∩平面 ABCD PQ ∴ AB // PQ ,
又
AB
BC, PQ
BC, SBCQ
1 2
BC
PQ
3 PQ 2
…………10 分
V ∴ QBCN
VNBCQ
V 1
2 SBCQ
2020---2021学年高一下学期英语周测+详细解析
2020---2021学年高一下学期英语周测出题人:曾庆洋范围unit1-3 3月第一部分听力(共两节,满分7.5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。
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 John find difficult in learning German?A.Pronunciation.B.V ocabulary.C.Grammar.2.What is the probable relationship between the speakers?A.Colleagues.B.Brother and sister.C.Teather and student.3.Where does the conversation probably take place?A.In a bank.B.At a ticket coffee.C.On the train.4.What are the speakers talking about?A.A restaurant.B.A street.C.A dish.5.How does the woman think of her interview?A.It was tough.B.It was interesting.C It was successful.第二节(共5小题;每小题1.5分,满分22.5分)听下面5段对话或独白。
每段对话或独白后有几个小题,从题中给的A、B、C三个选项中选出最佳选项。
听完每段对话或独白前,你将有时间阅读各个小题,每小题5秒钟;听完后,各小题将给出5秒钟的作答时间。
每段对话或独白读两遍。
6.听第6段材料,回答下列各题.(1)When will Judy go to a party?A.On Monday.B.On Tuesday.C.On Wednesday.(2)What will Max do next?A.Fly a kite.B.Read a magazine.C.Do his homework.7.听第7段材料,回答下列各题.(1)What does the man suggest doing at first?A.Going to a concert.B.Watching a movie.C.Playing a computer game.(2)What do the speakers decide to do?A.Visit Mike.B.Go boating.C.Talk a walk.8.听第8段材料,回答下列各题.(1)Which color do cats see better than humans?A.Red.B.Green.C.Blue.(2)Why do cats bring dead birds home?A.To eat them in a safe place.B.To show off their hunting skills.C.To make their owners happy.(3)How does the man sound at the end of the conversation?A.Grateful.B.Humorous.C.Curious.9.听第9段材料,回答下列各题.(1)Who is Macy?A.Ed's mother.B.Ed's teacher.C.Ed's friend.(2)How does Ed usually go to kindergarten?A.By car.B.On foot.C.By bus.(3)What does Ed enjoy doing at the kindergarten?A.Telling stories.B.Singing songs.C.Playing with others.(4)What do the teachers say about Ed?A.He's clever.B.He's quiet.C.He's brave.10.听第10段材料,回答下列各题.(1)At what age did Emily start learning ballet?A.Five.B.Six.C.Nine.(2)Why did Emily move to Toronto?A.To work for a dance school.B.To perform at a dance teacher.C.To learn contemporary dance.(3)Why did Emily quit dancing?A.She was too old to dance.B.She failed to get a scholarship.C.She lost interest in it.(4)How does Emily feel about stopping training?A.She's pleased.B.She's regretful.C.She's upset.第二部分阅读理解(共两节,满分30分)第一节(共4小题;每小题6分,满分30分)阅读下列短文,从每题所给的A、B、C和D四个选项中,选出最佳选项。
(4.18)江苏省灌南高级中学2020年高一下学期数学周练试卷10(含答案)
2020年高一下学期数学周练试卷一、选择题(每题5分,共计30分)1.已已已已已已已已(3已-2)已已(-1已-2),已已已已已已已已已已已 已.A. 0oB. 45oC. 60oD. 90o2.已知两点)(4,3-A ,)(2,3B ,过点)0,1(P 的直线l 与线段AB 有公共点,则直线l 的斜率k 的取值范围是( )A .)1,1(-B .),1()1,(+∞⋃--∞C .]1,1[-D .),1[]1,(+∞⋃--∞3.已知直线l :02=-+-k y kx 过定点M ,点),(y x P 在直线012=-+y x 的最小值是( )A . 10B .553 C . 6 D . 53 4.已知圆()()22:684,C x y -+-=O 为坐标原点,则以OC 为直径的圆的方程( )A .()()2234100x y -++=B .()()2234100x y ++-= C .()()223425x y -+-= D .()()22+3425x y +-=5.圆2228130+--+=x y x y 截直线10ax y +-=所得的弦长为a =( )A .43-B .34-CD .2 6.若圆与圆222:680C x y x y m +--+=外切,则m =( ) A .21 B .19 C .9 D .-11二、填空题(每题5分,共20分)7.过点(1,2)P ,且与原点距离最大的直线方程为_________________8.点(3,1)P 关于直线20x y -=的对称点的坐标是______________9.直线x +2y -3=0与直线ax +4y +b =0关于点A (1,0)对称,则a +b =________. 10.圆222200x y x y ++--=与圆2225x y +=相交所得公共弦长为_______.三、解答题(11、12题每题10分,13、14题,每题15分)11. 设直线l 的方程为03)1(=+++-a y x a ,)(R a ∈.(Ⅰ)若直线l 在两坐标轴上截距的绝对值相等,求直线l 的方程;(Ⅱ)若直线l 不经过第一象限,求实数a 的取值范围.12.已知直线:0l x y m ++=与圆()()22:119C x y ++-=没有公共点,圆()()221:121O x y -++=与圆()()()2222:420O x y m m -+-=>相交,求m 的取值范围.13.在平面直角坐标系xOy 中,已知()3,0A 、()1,0C .(1)求以点C 为圆心,且经过点A 的圆C 的标准方程;(2)若直线l 的方程为3420x y+=-,判断直线l 与(1)中圆C 的位置关系,并说明理由.若直线与圆相交,求直线被圆所截得的弦长.14.在△ABC 中,角A ,B ,C 的对边分别为a ,b ,c .已知3b c =,A +3C =π. (1)求cosC 的值;(2)求sinB 的值;(3)若b =ABC 的面积.参考答案一、选择题1-6:ADBCAC二、填空题7、x+2y -5=08、(-1,3)9、410、54三、解答题11.(1)a=1时,直线化为y+4=0,不符合条件,应舍去;当a ≠1时,分别令x=0,y=0,解得与坐标轴的交点(0,−a −3),(a+31−a,0).∵直线l 在两坐标轴上的截距绝对值相等,∴|a+31−a|=|−a −3|,解得a=−3或a=0,a=2.∴直线l 的方程为:−4x+y=0,−x+y+3=0或x+y+5=0.(5分(2)直线l 的方程(a −1)x+y+a+3=0化为y=−(a −1)x −a −3.∵直线l 不经过第一象限,∴{−(a −1)已0−a −3已0,解得−3已a已1.∴实数a 的取值范围是[)1,+∞(10分)12.【答案】()圆()()22:119C x y ++-=的圆心()1,1C -,半径3r =,由题意可得,圆心C 到直线的距离3d =>,0m >Q ,则m >(4分) Q 圆()()221:121O x y -++=与圆()()()2222:420O x y m m -+-=>相交,圆心()11,2O -,圆1O 的半径11R =,圆心()24,2O ,圆2O 的半径2R m =,121212R R OO R R ∴-<<+,即11m m -<+,解得46m <<.(4分) 综上所述,实数m 的取值范围是().(2分)13.【答案】(1)()2214x y -+=;(2)直线l 与圆C 相交,且直线l被圆C 所截得的弦长为 【详解】(1)圆C的半径为2r AC ===, 因此,圆C 的标准方程为()2214x y -+=;(7分)(2)圆心C 到直线l的距离为1d r ==<,所以,直线l 与圆C 相交.因此,直线l 被圆C所截得的弦长为==.(8分) 14..。
【原创】2020-2021高一下学期数学周练
2020-2021学年高一下学期数 学 周 练一、选择题(本大题共12小题,共60分)1. 已知m ,n 为两条不同的直线,α,β为两个不同的平面,则下列命题中正确的有( )(1)m ⊂α,n ⊂α,m //β,n //β⇒α //β (2)n //m ,n ⊥α⇒m ⊥α(3)α //β,m ⊂α,n ⊂β⇒m //n (4)m ⊥α,m ⊥n ⇒n //αA. 0个B. 1个C. 2个D. 3个2. 某市教体局将从甲、乙、丙、丁四人中选一人参加全省100米仰泳比赛,现将他们最近集训的10次成绩(单位:秒)的平均数与方差制成如下表格,根据表中的数据,应选哪位选手参加全省的比赛( )A. 甲B. 乙C.丙D.丁3. 已知向量BA ⃗⃗⃗⃗⃗ =(12,√32),BC ⃗⃗⃗⃗⃗ =(√32,12),则∠ABC =( )A. 30∘B. 45∘C. 60∘D. 120∘4. 甲在微信群中发布6元“拼手气”红包一个,被乙、丙、丁三人抢完,若三人均领到整数元,且每人至少领到1元,则乙获得“最佳手气”(即乙领到的钱数不少于其他任何人)的概率是( )A. 13B. 310C. 25D. 345. 过点A (1,2)且与原点距离最大的直线方程为( )A. 2x +y −4=0B. x +2y −5=0C. x +3y −7=0D. 3x +y −5=0 6. 已知圆柱的高为1,它的两个底面的圆周在直径为2的同一个球的球面上,则该圆柱的体积为( )A. πB.3π4C. π2D. π4 7. 己知点A 与点B(1,2)关于直线x +y +3=0对称,则点A 的坐标为( )A. (3,4)B. (4,5)C. (−5,−4)D. (−4,−3) 8. 已知△ABC 中,a =1,b =√3,A =30∘,则B 等于( )A. 30∘B. 60∘C. 120∘D. 60∘或120∘9. 已知a ∈{0,1,2},b ∈{-1,1,3,5},则函数f (x )=ax 2-2bx 在区间(1,+∞)上为增函数的概率是( )A. 512B. 13C. 14D. 1610. 直线y = k (x -1) 与A (3,2)、B (0,1)为端点的线段有公共点,则k 的取值范围是( )A. [−1,1]B. [−1,3]C. (−∞,−1]∪[3,+∞)D. (−∞,−1]∪[1,+∞)11. 在ΔABC 中,已知AB⃗⃗⃗⃗⃗ ⋅AC ⃗⃗⃗⃗⃗ =9,sinB =cosA ·sinC ,S ΔABC =6,P 为线段AB 上的一点,且CP ⃗⃗⃗⃗⃗ =x CA⃗⃗⃗⃗⃗ |CA ⃗⃗⃗⃗⃗ |+y CB⃗⃗⃗⃗⃗ |CB⃗⃗⃗⃗⃗ |,则1x +1y 的最小值为( ) A.712+√33B. 76+√33C. 76D. 71212. 在我国古代数学名著《九章算术》中将底面为直角三角形,且侧棱垂直于底面的三棱柱称之为堑堵。
高一第二学期第八周周考卷以及答案
高一第二学期第八周周考卷以及答案一、基础知识(90分,每小题3分)1.下列各组词语中,加点字读音都正确的一项是()A怯弱(qiè)纨绔(kù)戏谑(xuè)敛气屏声(bǐng)B拓片(tuò)负疚(jiù)悚然(sǒng)沸反盈天(fú)C吞噬(shì)脊髓(suí)撬开(hào)韬光养晦(huì)D石栈(jiàn)朔漠(sù)迁谪(zhé)群山万壑(hè) 2.下列各组词语中,字形完全正确的一项是()A.洗漱纳罕孽根祸胎懵懂顽童B.寒喧踌躇惴惴不安瘦消不堪C.残骇桅杆司马轻衫咀嚼赏鉴D.抚赝缭倒恬然自安赴汤蹈火3.填入下列各句横线处的词语,恰当的一项是()①这个行动计划十分,策划时没有遗漏一点细节。
②汶川地震发生后,灾民的工作立即展开。
③《老人与海》这部小说,我看了三次。
A.周全安置不只 B.周密安顿不只C.周密安置不止D.周全安顿不止4.下列有关文学常识的表述,不正确的一项是()A.《红楼梦》又名《石头记》,是清代作家曹雪芹所著,后四十回一般认为是高鹗所续,这是一部具有高度思想性和艺术性的伟大作品,在我国文学史和世界文学史上都占有极其重要的地位。
B.鲁迅,原名周树人。
他的第一篇白话小说是《狂人日记》;小说集有《呐喊》《彷徨》《朝花夕拾》。
《祝福》《药》就选自他的小说集《彷徨》。
C.海明威,美国现代作家,1954年度的诺贝尔文学奖获得者。
代表作有《太阳照样升起》《永别了,武器》《丧钟为谁而鸣》等。
他在50年代塑造了一批以《老人与海》中的桑地亚哥为代表的“硬汉”形象。
D.唐代是我国诗歌发展的一个高峰时期,出现了以李白、杜甫、白居易为代表的一大批优秀的诗人,他们虽然写作风格不尽相同,但都在文学世上留下了辉煌的诗篇。
5.下列加点词意义用法相同的一组是()A.青泥何盘盘隐隐何甸甸B.为君翻作《琵琶行》于人为可讥C.开国何茫然然视其左右,来而记之者已少 D.嗟尔远道之人胡为乎来哉浩浩乎如冯虚御风6.下列各句中加点的词语,古今意思相同的一项是()A.凄凄不似向前声 B.因为长句,歌以赠之C.明年秋,送客湓浦口D.猿猱欲度愁攀援7. 下面三句是课文《林黛玉进贾府》中对三个人的描写。
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高2017级数学周练周考重做一、选择题1.002cos10sin20sin70-的值是( )A.12B.C.D. 2.已知()1sin 2αβ+=, ()1sin 3αβ-=,则2tan tan αβ⎛⎫⎪⎝⎭等于 ( ) A. 5 B. 4 C. 3 D. 23、已知α和β都是锐角且5sin 13α=,()4cos 5αβ+=-,则sin β的值是 ( ) A 、3365 B 、1665 C 、5665 D 、63654.已知4tan 1tan =+θθ则=+)4(cos 2πθ( ) A .B .C .D .5、已知12sin 41342x x πππ⎛⎫⎛⎫+=<<⎪ ⎪⎝⎭⎝⎭,则式子cos 2cos 4x x π⎛⎫- ⎪⎝⎭的值为( ) A 、1013- B 、2413 C 、513 D 、1213-6、已知1cos sin 21cos sin x xx x-+=-++,则sin x 的值为 ( ) A 、45 B 、45- C 、35- D、7、已知不等式()2cos 04442x x x f x m =--≤对于任意的566x ππ-≤≤恒成立,则实数m 的取值范围是 ( ) A、m B、m ≤ C、m ≤、m ≤8、已知函数,2()sin 2f x x x =+()cos(2)23(0)6g x m x m m π=--+>,若存在12,[0,]4x x π∈,使得12()()f x g x =成立,则实数m 的取值范围是( ).(0,1]A .[1,2]B2.[,2]3C24.[,]33D9、=︒-︒40tan 50cos 4( )A.2B.3C.232+ D. 122- 10、设ABC ∆的面积为1S ,它的外接圆面积为2S ,若ABC ∆的三个内角大小满足5:4:3::=C B A ,则21S S 的值为( ) π1225.A π2425.B π233.+C π433.+D 11、在ABC ∆中,C B A cos cos 2sin ⋅-=,且21tan tan -=⋅C B ,则角A 的值为( ) A.4π B.3π C.2π D.43π 12、在ABC ∆中,角,,A B C 的对边分别为,,a b c 若2,,4a b m A π===若ABC ∆有两解,则m 的范围是( )A.(1,2)B.(2,3)C.(4,)D.(2,13、如图,为测量河对岸塔AB 的高,先在河岸上选一点C ,使C 在塔底B 的正东方向上,在点C 处测得A 点的仰角为60︒ ,再由点C 沿北偏东15︒ 方向走20m 到位置D ,测得30BDC ∠=︒ ,则塔AB 的高是( )A. B. C. D. 10m14、在ABC ∆中,若tan tan tan A B A B +,且sin cos B B =,则ABC ∆的形状为( )A. 直角三角形B. 等腰直角三角形C. 正三角形或直角三角形D. 正三角形15、在ABC 中三个内角A , B , C 的对边分别为a , b ,c ,若ABC ∆的面积为S ,且()224S a b c =+-,则cos C 等于( )A.12 B. 0 D. 16、在ABC ∆中,,A B C 的对边分别为,,a b c ,若2222017a b c +=,则tan tan tan tan C CA B+=( )A.11008B. 12017C. 12018D. 2201717、在ABC ∆中,角,,A B C 的对边分别为,,a b c ,若2cos sin 0cos sin A A B B+-=+,则a b c+的值是 ( )A. 1B.C.D. 218、如图,在AOB ∆中, 90AOB ∠=︒, 1,OA OB =EFG ∆三个顶点分别在AOB ∆的三边上运动,则EFG ∆面积的最小值为( )A.B. C. D.19、在数列{}n a 中,*()n a n N ∈,则该数列前100项中的最大项与最小项分别为( ) A.150a a ,B.144a a ,C.4544a a ,D. 4550a a ,20、如图,从气球A 上测得正前方的河流的两岸,B C 的俯角分别为75,30︒︒,此时气球距地面的高度是60m ,则河流的宽度BC 等于( )A. )2401mB. )1801mC. )1201mD. )301m21、数列{}n a 的通项公式为()2*n a n n n N λ=+∈是一个单调递增数列,则实数λ的取值范围是( )A .()3-+∞,B .52⎛⎫-+∞ ⎪⎝⎭,C .()2+∞-,D .()0+∞,22、在ABC ∆中,内角A B C ,,所对的边分别为a b c ,,,若次成等差数列,则( ) A. ,,a b c 依次成等差数列B.C. 222,,a b c 依次成等差数列D. 333,,a b c 依次成等差数列23、《九章算术》中的“竹九节”问题:现有一根9节的竹子,自上而下各节的容积成等差数列,上面4节的容积共3L ,下面3节的容积共4L ,则第5节的容积为( ) (A )1L (B )(C ) (D )24、( )(A ) (B ) (C ) (D ) 25、( ) (A )15 (B )12 (C )9 (D )026、 ( )(A )8 (B )8.5 (C )9 (D )027、 ( )(A )4024 (B )4020(C )4016 (D )L 6667L 4447L 3337{}的值为成等比数列,则中,已知等差数列173162421,,,a a a a a a a a n ++9101或10911091或{}===963,9,6S S S a n 则是等差数列,数列{}),函数满足列知公差不为零的等差数R (122)(09∈+==x x f a a x xn =+++)()()1721a f a f a f ({}).()3(,4)3(,3),10(11*+∈⎩⎨⎧≤+->-=<<=N n a a a a a a a a a n n n n n n 满足数列{}=2012S S n a n n 项和,则的前是数列有关与a28、已知正项等比数列{a n }中,a 1=2,若b n =log 2a n ,且数列{b n }的前7项和T 7最大,T 7≠T 6,则数列{a n }的公比q 的取值范围是( )A .2 17 <q <2 16B .2- 16 <q <2- 17C .q <2- 16 或q >2- 17D .q >2 16 或q <2 1729、设S n ,T n 分别是等差数列{a n },{b n }的前n 项和,已知S n T n =2n +14n -2,n ∈N *,则a 10b 3+b 18+a 11b 6+b 15=( ) A.3778 B.4178 C.4156 D.414830、如果一个项数为偶数的等比数列,它的偶数项和是奇数项和的2倍,又它的首项为1,且中间两项的和为96,则此等比数列的项数为( ) A .12 B .10 C .8 D .6 二、填空题 1、已知3sin()35x π-=,且x 为第二象限角,则cos()6x π+= . 2、求值:2cos10(1sin10)cos 20-= .3、在ABC ∆中,内角,,A B C 所对的边分别为,,a b c ,已知030,2A b ==,如果这样的三角形有且只有一个,则a 的取值范围为________.4、给出下列四个命题,其中正确的命题是___________①若()()()cos cos cos 1A B B C C A ---=,则ABC ∆是等边三角形; ②若sincos A B =,则ABC ∆是直角三角形;③若cos cos cos 0A B C<,则ABC ∆是钝角三角形;④若sin 2sin 2A B =,则ABC ∆是等腰三角形;5、若sin 3sin(2)βαβ=-,则2tan(-)+tan αβα的值为______.6、在ABC ∆中, ,,a b c 分别是角,,A B C 的对边,已知060,7A a ==,现有以下判断: ①b c +不可能等于15; ②cos cos 7C B c b bc+=; ③作A 关于BC 的对称点,A AA ''则的最大值是 ④若,B C 为定点,则动点A 的轨迹围成的封闭图形的面积是493π。
请将所有正确的判断序号填在横线上______________。
7、在数列{}n a 中,1=0a ,1n a +=,则2018a =____________.8、函数())()13log 0,112ax f x x a a a =++〉≠-,若1sin 63f πα⎛⎫⎛⎫-= ⎪ ⎪⎝⎭⎝⎭(,6k k Z παπ≠+∈),则2cos 3f πα⎛⎫⎛⎫- ⎪ ⎪⎝⎭⎝⎭=_________. 三、解答题1、在ABC ∆中,向量→→→→⊥-+=-=nm Bn B B m 且),1),24(sin 2(),2cos 2,sin 2(2πc b a ,,分别是角C B A ,,的对边,(1)求角B 大小;(2)求C A cos sin +的取值范围2、已知向量)2,(cos ),cos sin ,sin 2(m n m --=-=→→θθθθ,函数→→⋅=n m f )(θ的最小值为)(m g .(1)求)(m g ; (2)已知函数)(x h 为定义在R 上的增函数,且对任意的21,x x 都满足)()()(2121x h x h x x h +=+,问:是否存在这样的实数m ,使不等式)]([)32()cos sin 4(θθθf h m h h >++-对所有),4(ππθ∈恒成立.若存在,求出m 的取值范围3、如图所示的四边形ABCD 中,已知AD AB ⊥,=∠ABC 27=AD ,设θ=∠ACB ,C 点到AD 的距离为h.(1)用θ表示h 的解析式;(2)求BC AB +的最大值.4、已知A 、B 、C 是ABC ∆的内角,且ABC ∆不为直角三角形 (1)求证:C B A C B A tan tan tan tan tan tan ⋅⋅=++(2)当A C B C tan tan tan 1tan 3+=-且BC A 2sin 22sin 12sin 1=+,求2cos A C -的值.5、在ABC ∆中,c b a ,,分别是角C B,,A 的对边,且ca bC B -=2cos cos . (1)求角B 的大小;(2)若7=b ,且ABC ∆的面积为233,求a c +的值.6、在ABC ∆中,c b a ,,分别是角C B,,A 的对边,且2b c 2acosC =+. (1)求A ;(2)若a =ABC ∆周长的取值范围.7、设函数()1sin sin )2f x x x x =+-. (1)求函数()f x 的单调递增区间;(2)在ABC ∆中,c b a ,,分别是角C B,,A 的对边,若()1f B =,2b =,且(2cos )(cos 1)b A a B -=+,求ABC ∆的面积.8、如图,在ABC ∆中π3B ∠=,8AB =,点D 在BC 边上,且2CD =, 1cos 7ADC ∠=. (Ⅰ)求sin BAD ∠的值.(Ⅱ)求BD ,AC 的长.9、ABC ∆三个内角,,A B C 的对边分别为,,a b c ,面积S满足222S a b c =+-. (Ⅰ)求角C 的值;(Ⅱ)求()cos2cos A A B +-的取值范围.10、如图,在ABC ∆ 中,角,,A B C 的对边分别为,,a b c , ()cosC a b sinC =+ . (Ⅰ)求角B 的大小; (Ⅱ)若,2A D π=为ABC ∆外一点,2,1DB DC == ,求四边形ABCD 面积的最大值.11、已知函数的定义域为R ,对任意实数 (1)当时,求证:数列是等比数列;(2)12、 (1) 证明:数列为等差数列并求出的通项公式;令设数列若对任意恒成立,求实数的取值范围.)(x f .87)1()()()(,==+f y f x f y x f y x ,且满足*∈N n {})(n f {}.)()4(的最大项,求数列若n n a n f n a +={}).,2(1))((,1111*--∈≥=-+=N n n S S S S S n a a n n n n n n ,满足项和为前中,数列{}2S n {}n a ,122nn n a a b +={},n nT n b 项和为的前3,-≥∈*n TN n nλ不等式。