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2021年高二下学期周末训练数学(理)试题(7)含答案

2021年高二下学期周末训练数学(理)试题(7)含答案

(第9题)2021年高二下学期周末训练数学(理)试题(7)含答案一、填空题1. 已知集合,,则 .2.命题“若实数满足,则”的否命题是_____命题(填“真”、“假”之一).3.函数在区间上的平均变化率为________.4.已知,则.5.若“”是“”的必要不充分条件,则实数的最大值是________.6.直线是曲线的一条切线,则实数的值为 。

7.函数在上的最大值_______.8.分别在曲线与直线上各取一点与,则的最小值为________.9. 10.杯中,当水深为时,则水面升高的瞬时变化率是________.11.已知函数,对任意的,恒成立,则的取值范围为_______. 12. 已知函数,曲线过点,且在点处的切线恰好与直线垂直,若在区间上单调递增,求的取值范围________.13. 已知集合,,其中,我们把集合,记作,若集合中的最大元素是,则的取值范围是 .14.已知函数为常数,为自然对数的底数的图像在点处的切线与该函数的图像恰有三个公共点,则实数的取值范围是_______.二解答题15.变换是逆时针旋转的旋转变换,对应的变换矩阵是;变换对应用的变换矩阵是.(Ⅰ)求点在作用下的点的坐标;(Ⅱ)求函数的图象依次在,变换的作用下所得曲线的方程.16.已知,.(1)若为真命题,求实数的取值范围;(2)若为成立的充分不必要条件,求实数的取值范围.17.已知矩阵的逆矩阵,向量.(1)求矩阵及矩阵的特征值;(2)求的值.18. 如图,两个工厂相距,点为的中点,现要在以为圆心,为半径的圆弧上的某一点处建一幢办公楼,其中.据测算此办公楼受工厂的“噪音影响度”与距离的平方成反比,比例系数是1,办公楼受工厂的“噪音影响度”与距离的平方也成反比,比例系数是4,办公楼受两厂的“总噪音影响度”是受两厂“噪音影响度”的和,设为.(1)求“总噪音影响度”关于的函数关系,并求出该函数的定义域;(2)当为多少时,“总噪音影响度”最小.19.已知,其中是自然常数,(Ⅰ)当时, 研究的单调性与极值;(Ⅱ)在(Ⅰ)的条件下,求证:;(Ⅲ)是否存在实数,使的最小值是?若存在,求出的值;若不存在,说明理由.20.设函数.(1)当时,讨论函数的单调性;(2)若对任意及任意,恒有成立,求实数的取值范围.K23371 5B4B 孋30792 7848 硈w38105 94D9 铙;-]l 32132 7D84 綄34533 86E5 蛥A33109 8155 腕。

高二10月周末自测试题参考答案

高二10月周末自测试题参考答案

高二10月周末自测试题参考答案10.27(范围:文化生活第二三单元)题号 1 2 3 4 5 6 7 8 9 10 答案 B B C B C D B C B D 题号11 12 13 14 15 16 17 18 1920答案 B B C D C B A C D A题号21 22 23 24 25答案 B B C B D•26、(1)①世界文化多样性。

文化既是民族的,又是世界的。

艺术爱好者可以亲身感受这场艺术盛宴,同时与世界各地的艺术家进行面对面的交流。

•②正确的态度是:既要认同本民族文化,又要尊重其他民族文化,相互借鉴,求同存异,尊重世界文化多样性,共同促进人类文明繁荣进步。

有5场关于中国水墨画、工艺画、陶瓷艺术、紫砂鉴赏与收藏、西方艺术投资收藏等主题活动安排。

•③必须遵循各民族文化一律平等的原则。

为期三天的展览中,来自中国、俄罗斯、澳大利亚、波兰、法国、土耳其、德国等过的数百位艺术家的近千副作品参与展出,海内外百余家艺术机构参展•(2)①有利于发展本民族文化。

中国重视与各国文化交流,有利于学习和吸收各国优秀文化成果,促进中华民族文化发展。

(3分)•②有利于增强中华文化在国际上的影响力,提高文化竞争力,增强我国综合国力。

(3分)•③有利于世界文化繁荣。

中国重视与各国文化交流,有利于各国文化相互借鉴,取长补短,维护世界文化多样性,促进世界文化的繁荣和发展。

•27.(1)莫言的小说是接地气的,启示我们积极参与社会实践,这是文化创新的根本途径。

(2分)(2)莫言小说的成功得益于古齐文化的丰厚底蕴,这启示我们要处理好文化传承与创新的关系,做到继承传统、推陈出新,这是文化创新的基本途径之一。

(3分)(3)莫言的作品得益于福克纳和马尔克斯的"魔幻"启迪,这启示我们面向世界,博采众长,这是文化创新的另一个基本途径。

(3分)(4)莫言的作品将魔幻现实主义与民间故事、历史与当代社会融合在一起,启示我们必须立足时代要求,关注人民群众的根本利益,推动内容形式等创新,走与人民群众相结合的道路。

高二英语周练试卷—带答案

高二英语周练试卷—带答案

高二英语周练试卷—带答案高二英语周练试题一、选择题名词性从句1. His success was because of (C)he had been working hard.A. thatB. the fact whichC. the fact thatD. the fact2. (C)makes mistakes must correct them.A. WhatB. ThatC. WhoeverD. Whatever3. The reason why I didn't go to Shanghai was (D)a new job.A. because I gotB. because of gettingC. I gotD. that I got4. It worried her a bit (B)her hair was turning gray.A. whileB. thatC. ifD. for5. Have you seen Henry lately My boss wants to know (A).A. how he is getting alongB. how is he getting alongC. what he is getting alongD. what is he getting along6. It is generally considered unwise to give a child (B)he or she wants.A. howeverB. whateverC. whicheverD. whenever7. I wonder how much (D).A. does the watch costB. did the watch costC. the watch costedD. the watch costs8. Mary is (C)someone might recognize her.A. afraid ofB. afraid aboutC. afraid thatD. afraid for9. They came to the conclusion (A)by a computer.A. that not all things can be doneB. because of not all things be doneC. being not all things can be doneD. because not all things can be done10. Output is now six times (C)it was before liberation.A. thatB. whichC. whatD. of which11. (B)surprised me most was ______ such a little boy of seven could play the violin so well.A. That…whatB. What…thatC. That…whichD. What…which12. We gave him (B)help we could.A. whichB. whatC. thatD. this13. She is pleased with what you have given him and (D)you have told him.A. thatB. whichC. all whatD. all that14. Excuse me would you please tell me (D)A. when the sports meet is taken placeB. when is the sports meet going to be heldC. when is the sports meet to beginD. when the sports meet is to take place15. The city is no longer (D).A. what it isB. that it used to beC. which it wasD. what it used to be16. (D)we go swimming every day ________ us a lot of good.A. If…doB. That…doC. If…doesD. That…does17. One of the men held the view (B)the book said was right.A. what thatB. that whatC. that whichD. which that18. Is this (C)we met each other two years agoA. placeB. place in whichC. whereD. place which19. We all know the truth (D)there are air, water and sunlight there are living things.A. whereB. whereverC. thatD. that wherever20. They discussed (D)they could settle the problem without others' help.A. ifB. thatC. whatD. whether21. Do you know (B)he expects will give us a talkA. whoB. whomC. thatD. whose22. It's uncertain (C)the experiment is worth doing.A. ifB. thatC. whetherD. how23. (A)the boy didn't take medicine made his mother angry.A. ThatB. WhatC. HowD. Which24. As the day was fine, I made the suggestion (D)for a walk in the park.A. we goB. we will goC. should we goD. that we go25. (A)we can't get seems better than ____ we have.A. What, whatB. What, thatC. That, thatD. That, what26.(C)you don't like him is none of my business.A. WhatB. WhoC. ThatD. Whether27. (B)we'll go camping tomorrow depends on the weather.A. IfB. WhetherC. ThatD. Where28. (A)he really means is ________he disagrees with us.A. What … thatB. That … whatC. Why … thatD. If … what29. (D)is going to do the job will be decided by the Party committee.A. ThatB. WhyC. HowD. Who30. (B)the house will be built will be discussed at tomorrow's meeting.A. IfB. WhereC. ThatD. What虚拟语气1. If I (C)you, I’d join the army.A. amB. wasC. wereD. would be2. -----“I wish I (A)the orientation program yesterday.”-----“It’s too bad that you _________. We met a lot of people.”A. had attended… didn’tB. had attended …hadn’tC. attended … didn’tD. could attend … haven’t3.John would rather that Jane (C)to the party yesterday evening.A. did not goB. not goC. had not goneD. wouldn’t gone4. I would have said “Hello” to him if I (B)your brother.A. could seeB. had seenC. will seeD. will have seen5. If you had wanted to buy a record, what (C)?A. would you buyB. had you boughtC. would you have boughtD. would you be buying6. If the tablets had dissolved, John (D).A. would probably dieB. had probably diedC. probably would be diedD. would probably have died7. (D)if you had lost your watch?A. Hadn’t you been upsetB. Wouldn’t you be upsetC. Weren’t you upsetD. Wouldn’t you have upset8. -----“Mrs. Williams can speak Japanese.”-----“But she would rather (A)English with us.”A. speakB. spokeC. to speakD. had spoken9. Everybody has arrived. It’s time we(C).A. would startB. shall startC. startedD. had start10. (B), John would not have failed.A. If he has listened to meB. Had he listened to meC. If he listened to meD. As he listened to me11. Had Alice been more hardworking, she (B).A. had not failedB. would not have failedC. would not failD. could not be failed12. The picture exhibition bored me to death. I wish I (A)to it.A. had not goneB. have not goneC. did not goD. could not have gone13. I wished it (C)but it did.A. occurred notB. did not occurC. had not occurredD. would not occur14. -----“I couldn’t talk to Mrs. Khandary very well,because my Arabic isn’t very good yet.”-----“(C)there, he would have been able to interpret for you.”A. If John wereB. John had beenC. Had John beenD. Were John15. The sun rises in the east and sets in the west, so it seems as if the sun (D)around the earth.A. circlesB. is circlingC. be circlingD. were circling16. The computer “teacher” was talking with his students as though it (C)a human teacher.A. wasB. wereC. had beenD. be17. Jane appears as though she (B)the secret.A. knowsB. knewC. has knownD. had known18. If only she(D)of Aunt Ruth!A. was not terribly so frightenedB. were not terribly so frightenedC. be not so terribly frightenedD. were not so terribly frightened19. -----“I think that the Smiths were embarrassed byJane’s generosity.”-----“She insisted (C)it as a gift.”A. no them to acceptB. their acceptingC. that they acceptD. that they accepted20. The chairman requested that (D).A. the members studied the problem more carefullyB. the problem were more carefully studiedC. the problem could be studied with more careD. the members study the problem more carefully21. -----“Did Kathy have any ideas for Jim?”-----“She suggested that he (A)a car d with all of our names on it.”A. sendB. sendsC. to sendD. sending22. Peter wishes that he (A)law instead of literature when he was in college.A. had studiedB. studiedC. could studyD. would study23. It is necessary that this machine-tool (A)every day.A. be oiledB. oilC. is to be oiledD. oiled24. -----“That’s a beautiful coat in the window.”-----“It certainly is. If I had the money (A)buy it.”A. I’dB. I’llC. I mayD. I shall25. Alan (A)the party if he’d gone to London.A. would have missedB. had missedC. could missD. missed26. Jill would rather we (A)now, but we must go to work.A. not leaveB. had not leftC. didn’t leaveD. not to be left27. I’d just as soon (D)those important papers with you.A. that you won’t takeB. your not takingC. please don’t you takeD. you didn’t take28. The housemaster was very strict. He asked that we (A)television on week nights.A. not watchB. not be watchingC. must not watchD. should not have watched29. If the Watergate Incident (A)Nixon would not have resigned from the presidency.A. had not occurredB. did not occurC. was not occurringD. would not occur30. (A)at the price list, he’d have known what to expect.A. Had Mr. Robinson lookedB. If Mr. Robinson lookedC. If Mr. Robinson would have lookedD. Had Mr. Robinson been looking二、填空题1.If it ____________(snow) last night,it would be very cold today.答案:had snowed2.We ____________(invite) them to the dance, but they went abroad for their vacation.答案:would have invited3.She would never have behaved like that if she __________(have) some common sense.答案:had4.If he ____________(work) harder, he would succeed now.答案:had worked5.If I had a bike,I ____________(lend) it to you yesterday.答案:would have lent6.This is a hall ____________ the medical conference will be held.答案:where7.I had that door ____________(paint) last week.答案:painted8.If I placed an order now,how long would it be ____________ I got delivery?答案:before9.Many students find ____________(临时的) jobs during theirsummer holidays.答案:temporary10.There is still one month left before the ____________(截止日期).答案:deadline11.Because of the financial crisis,the staff has ____________(下降) from 217,000 to 114,000. 答案:declined12.Even today they still have the ____________(荒谬的) idea that the earth is flat and motionless.答案:absurd13.Under no ____________(情况) will we agree to make the company split up.答案:circumstances14.If you ask for money from us,you have to ____________(提交) details of the damage.答案:submit15.The police officer saw a ____________(极相似之处) between the two murder cases.答案:parallel。

2021年高二下学期周末训练数学(理)试题(10) Word版含答案

2021年高二下学期周末训练数学(理)试题(10) Word版含答案

2021年高二下学期周末训练数学(理)试题(10) Word 版含答案一、填空题:本大题共14小题,每小题5分,共70分.请把答案填写在答题卡...相应位置上...... 1. 命题“,有”的否定是 ▲ .2. 若(为虚数单位),则的值为 ▲ .3. 观察下列式子:, ,,…,根据以上式子可以猜想 ▲ .4. 若(为虚数单位),则是的 ▲ 条件. (填“充分不必要”,“必要不充分”,“充要”,“既不充分也不必要”)5.设的展开式中的系数为,二项式系数为,则 ▲ .6.已知函数是上的增函数,,命题“若,则”与它的逆命题,否命题,逆否命题四个命题中真命题的个数为 ▲ .7. 已知,,则可化简为▲ . (用含有的式子表示)8. 已知条件和条件,若是的充分条件,则实数的取值范是 ▲ .9. 现有一个关于平面图形的命题:如图,同一个平面内有两个边长都是的正方形,其中一个的某顶点在另一个的中心,则这两个正方形重叠部分的面积恒为. 类比到空间,有两个棱长均为的正方体,其中一个的某顶点在另一个的中心,则这两个正方体重叠部分的体积恒为 ▲ .10. 若()()()()99221091...112+++++++=++x a x a x a a m x ,且 ()()9293128203......=+++-+++a a a a a a ,则实数m 的值为 ▲ .11. 下列四个命题中,真命题的序号是 ▲ .①,使是幂函数,且在上递减;②,函数有零点;③,使;④,函数都不是偶函数.12.已知(其中为给定的正整数),则对任意整数(),恒为定值是▲.13. 已知二次函数的值域为,且当,时,不等式恒成立,则实数的最大值为▲.14. 设集合,选择的两个非空子集和,要使中最小的数大于中最大的数,则不同的选择方法共有▲种.二、解答题:本大题共6小题,共90分.请在答题卡指定区域.......内作答,解答时应写出文字说明、证明过程或演算步骤.15.(本小题满分14分)已知是虚数,是实数.(1)求为何值时,有最小值,并求出|的最小值;(2)设,求证:为纯虚数.16.(本小题满分14分)已知命题:函数在定义域上单调递增;命题:不等式对任意实数恒成立,若是真命题,求实数的取值范围.颜色(其中一种为红色)对图中四个三角形进行染色,且每个三角形用一种颜色图染.(1)若必须使用红色,求四个三角形中有且只有一组相邻三角形同色的染色方法的种数;(2)若不使用红色,求四个三角形中所有相邻三角形都不同色的染色方法的种数.18.(本小题满分16分)已知函数(且),函数、分别是上的奇函数和偶函数,并且.(1)求和的解析式;(2)计算,探索它们之间的关系并推广到一般情形,并给予证明;(3)类比“两角和与差的正余弦公式”的形式,结合(2)的结论,试写出与(2)结果不相同的三个关于、的关系式,并给予证明.19.(本小题满分16分)已知数列满足,且.(1)计算的值,由此猜想数列的通项公式,并用数学归纳法证明;(2)求证:.20.(本题满分16分)已知函数和函数.(1)若方程在上有两个不同的解,求实数的取值范围;(2)若对,均,使得成立,求实数的取值范围.评分标准1.,有 2. 3. 4.充分不必要 5.4 6.4 7. 8. 9. 10.1或-3 11.①②③ 12. 13. 14. 4915.解:设,则i b a b b b a a a b a bi a bi a bi a bi a z z ⎪⎭⎫ ⎝⎛+-+⎪⎭⎫ ⎝⎛++=+-++=+++=+22222211 所以,,又可得 …………………………………4分(1)22)1()2()1()2(2-++=-++=-+b a i b a i z表示点到点的距离,所以最小值为 ………7分解方程组并结合图形得 …………………………………9分(2)()()()[]()[]()a bi ba bi a bi a bi a bi a z z u +-=++-+⋅--=++--=+-=1111111122 又,所以为纯虚数 ……………………………………………………………………14分16.解: ……………………………………………………………………5分当时恒成立; …………………………………………………………………7分当时,,解得:……………………………………………………………………………11分所以, ……………………………………………………………………………14分17.解:(1)同色的相邻三角形共有种,不妨假设为,①若同时染红色,则另外两个三角形共有种染色方法,因此这种情况共有种染色方法; ②若同时染的不是红色,则它们的染色有种,另外两个三角形一个必须染红色,所以这两个三角形共有,因此这种情况共有种染色方法.综上可知有且只有一组相邻三角形同色的染色方法的种数为种;……7分(2)因为不用红色,则只有四种颜色.若一共使用了四种颜色,则共有种染色方法;若只使用了三种颜色,则必有一种颜色使用了两次,且染在对顶的区域,所以一共有种染色方法;若只使用了两种颜色,则两种颜色都使用了两次,且各自染在一组对顶区域,所以共有种染色方法.综上可知所有相邻三角形都不同色的染色方法的种数为种. ………………14分18.解:(1)将代入 ①得,因为函数、分别是上的奇函数和偶函数,所以 ②,①②得,①②得; ………………………………4分(2),,,,,所以, ………………………………6分推广得到.证明:+; …………………………………………………………9分(3);;. …………………………………………………12分证明:+将和中用 代替得,因为函数、分别是上的奇函数和偶函数,所以,.…………16分19.解:(1),由此猜想数列 ……………………3分证明:当时,,符合;假设当时,成立,那么当时,1)1(21)1()1(1221++=+=++-+=+-=+k k k k k ka a a k k k所以,当时也成立. …………………………………………………………7分(2)即证 …………………………………………………………9分 2111...111111221=⋅+≥⋅++⋅+⋅+=⎪⎭⎫ ⎝⎛+n C n C n C n C n n n n n n n n ………………………11分 又1212...211!11...21!11-=⋅⋅⋅≤≤+-⋅⋅-⋅-⋅⋅=k k k nk n k n n n n n n n k n C , …………………13分 故有32123211211121...2121111112<⎪⎭⎫ ⎝⎛-=-⎪⎭⎫ ⎝⎛-+=+++++≤⎪⎭⎫ ⎝⎛+-n n n n n 综上:,即.……………………………………………16分20.(1)或或所以,且即且………………………………………5分(2)…………………………………………………………8分…………………………………………………………13分当时,,解得当时,,解得当时,,解得综上,…………………………………………………………16分L31758 7C0E 簎24168 5E68 幨;k21766 5506 唆36139 8D2B 贫31589 7B65 筥31143 79A7 禧27124 69F4 槴4qT32482 7EE2 绢j。

高二文科数学周测答案8K双面350份

高二文科数学周测答案8K双面350份

监利中学2014级高二年级上学期第十次数学周测(文科)答案1-5 CCAA D 6-10.C BBCB11-12.A A13.2 14.-1515.7x+y+22=016.17.(1)a=2,b=2(2)或【解析】(1) ∵ l1⊥l2,∴ a(a-1)+(-b)·1=0, 即a2-a-b=0①.又点(-3,-1)在l1上,∴ -3a+b+4=0 ②,由①②解得 a=2,b=2.(2) ∵ l1∥l2且l2的斜率为1-a. ∴ l1的斜率存在,即=1-a,b=.故l1和l2的方程可分别表示为l1:(a-1)x+y+=0,l2:(a-1)x+y+=0.∵ 原点到l1和l2的距离相等,∴ 4 ,解得a=2或.因此或18.(1)茎叶图如下,乙发挥比较稳定,总体得分情况比甲好;(2)乙.【解析】试题分析:(1)画茎叶图时分出茎和叶,根据所给数据,可以以十位数字为茎,个位数字为叶;获得的信息可从茎叶图中数据的分布情况及数字特征如中位数加以说明;(2)根据数据可算出平均数,中位数,方差等数字特征,可知两者平均数相等,乙的方差较小,说时乙发挥稳定,且乙的中位数较大,可选择乙参赛.试题解析:(1)画茎叶图,其中中间数为数据的十位数,从这个茎叶图上可以看出,甲、乙的得分情况都是分布均匀的,只是乙更好一些;乙的中位数是35,甲的中位数是33,因此乙发挥比较稳定,总体得分情况比甲好;(2):=33,=33,s甲=3.96,s乙=3.56,甲的中位数是33,乙的中位数是35,综合比较选乙参加比赛较为合适.考点:茎叶图的画法,数据的数字特征的理解与应用,注意数据方差的计算公式,方差小波动小,数据越稳定,方差大波动大,数据越不稳定。

19.当月供应量为空调机4台,洗衣机9台时,可获最大利润9600元。

【解析】试题分析:这是一个典型的线性规划问题,首先确定变量,设空调机、洗衣机的月供应量分别是,台,总利润是,根据题意列出线性约束条件,写出目标函数表达式,画出可行域,找出最优解。

高二英语周测试卷(康).docx

高二英语周测试卷(康).docx

高二英语周测试卷第一部分:英语知识运用(共两节,满分45分)第一节:单项填空(共15小题;每小题1分,满分15分)从A、B、C、DE个选项屮,选出可以填入空白处的最佳选项。

1・一How about visiting International Horticultural EXPO 2011 in Xi'an this weekend?—____ ・ I don5t mind.A・ By all means B. I am sorry・ I will be busy this weekendC. 11 is up to youD. Fm not sure・ I have to check my schedule2・ It is ______ u nusual feeling for animal lovers to see ________ giant panda, one of China,s most famous animals.A.an;不填B. an; theC. the; theD. the;不填3・ After the great earthquake happened on March 11, 2011, the whole society in Japan on rescuing the people in ruins.A. concentrated B・ insistedC. dependedD. based4. People all over the world are kept ________ of what is happening immediately by means of the Internet・A. reminded B・ convincedC・ approved D. infoirned5・ Apple's iPad2 uses a 9.7-inch touch screen like the iPad・ ________ , it is equipped with a pair of new cameras, which the iPad doesn't have・A. IndeedB. ThereforeC. BesidesD. Otherwise6. 一Shall I turn on the TV, Mom?—No. You should be quiet _____ wake up your sleeping brother.A. so not as toB. so as not to C・ so as to not D. not so as to7・ The virus database ________ so that computer users can reduce the chance of being attacked by new viruses・A. is updatingB. will updateC・ is to update D. is being updated8.一How will you go to San Francisco?—I will drive to the house in San Fran cisco, ______ I plan to stay for two weeks.A. whereB. whichC. thereD. for which9.The maths teacher demanded that all the students _________ the examination paper within one and a half hours・A. finishB. finishedC・ would finish D. could finish10.Not only _____ great thoughts but also they express their thoughts in words which powerfully influence our minds and emotions.A. did great writers haveB. great writers hadC・ great writers have D・ do great writers have11. ____________________________________ Three college students were accused causing the accident on purpose and sentenced to three years in prison.A. forB. withC. ofD. as12.Arguments, even quarrels, can be a valuable part of this ________ if we want to strengthen our communication with each other.A. crimeB. processC. editionD. deadline13.—Jack met you yesterday. What^s his _____ ?—To show me his new smart phone.A. intentionB. professionC. impression D・ explanation14.I have almost finished the news・ _____ the title, do you have any advice to make it more attractive?A. As forB. Apart fromC. Due toD. Ahead of15.The little boy was so ______ to hear that the wonderful movie Rio he had been looking forward to would be put on soon in his city.A. puzzledB. delighted C・ disappointed D・ inspired第二节完形填空(共20小题;每小题1.5分,满分30分)阅读下面短文,掌握其大意,然后从36-55各小题所给的四个选项(A、B、C和D)中,选出最佳选项,并在答题卡上将该项涂黑。

高二英语第二学期周测

冠夺市安全阳光实验学校安丰高级中学高二英语第二学期周测一. 单项选择(20题, 每题1.5分,共30分)1.They are superior us numbers.A. to ; inB. over ; toC. to ; byD. over ; by2.The key to the problem is to the demands by the customers.A. solve; meet ; madeB. solving ; meet ; madeC. solve ; met ; makeD. solving ; meeting ; made3.Good workers are always demand in the factory.A. inB. onC. byD.for4.The workers demanded immediately.A. being repliedB. replyingC. to be repliedD. to reply5.Doubts have began to spring in my mind.A. backB. onC. upD. down6. There were a lot of people standing at the door and the small girl couldn’t get ______.A.betweenB. throughC. acrossD. beyond7. We hadn’t planned to meet. We met ____ chance.A. ofB. inC. forD. by8. Medical research has shown that the widespread use of cigarettes contributes ____ the increase of cancers.A. towardsB. forC. withD. to9. He did not find a job yet because he had no ____ to men who could help him.A.approachB. accessC. approvalD. application10. It isn’t quite ____ that he will be present at the meeting.A. certainB. exactC. rightD. sure11. It is well-known that Thomas Edison ____ the _____ lamp.A. discovered; electricalB. developed; electronicC. invented; electricD. found; electrical12. With no one to ____ in such a frightening situation, she felt very helpless.A. turn toB. turn onC. turn offD. turn over13. I was still sleeping when the fire ____ , and then it spread quickly.A. broke outB. put outC. came outD. got out14. It’s already 10 o’clock I wonder how it ___ that she was two hours late on such a short trip.A. came overB. came outC. came aboutD. came up15. I was just talking to Margot when Jackson _____.A. cut inB. cut downC. cut outD. cut up16. John is leaving for London tomorrow and I will ____ him ____ at theairport.A. send; awayB. leave; offC. see; offD. show; around17. By 1909, Picasso had ____ himself as a painter of great talent in Paris.A. madeB. recognizedC. admittedD. established18. We recommend he ____ this dictionary.A. buyB. buysC. buyingD. to buy19. Some areas, ____ their bad weather conditions, are hardly populated(使人居住).A. due toB. but forC. in spite ofD. with relation to20. --- Would you take this along to the office for me?--- _________.A.with pleasureB. that’ rightC. never mindD. don’tmention it二. 完形填空(20题, 每题1.5分,共30分)When I came to my new school three years ago, I was surprised at how lonely I felt. Then one of my classmates invited me to her house for a dinner 1 , I was a little anxious, but finally I got 2_Not really knowing how 3 the bus ride should be, I 4 when I saw the landmark 5 on my friend’s hand-drawn map. But when I got close enough to the _6, I found none of the streets were shown on the map. I was 7 on a busy road with cars driving past without a person in sight. I Had no 8 when the next bus would come, 9 when a bus did come by, I 10 got on. I told the bus driver where I wanted to go and he said that I had caught the 11 bus, but he let me stay on. After he finished his scheduled bus route, he 12 to help me out. I gratefully showed him my little hand-drawn map but 13did not help much.He finally 14 me off at a main road to catch a different bus and was 15 that he could not help me more. After a few minutes’of walking, I noticed a bus pull up beside me. It was the 16 bus driver. He explained that he didn’t want to leave me there 17 .He sent out a call and someone radioed back, saying that the bus I needed to catch was about ten minutes away. At last I made it to the dinner party 18I was over an hour late.I am forever thankful for the 19 that this bus driver had for me. His act of kindness left a 20on my heart.1. A. meal B party C. meeting D time2. A. accepted B refused C got D received3. A. far B. difficult C. long D. bad4. A. drove on B. walked away C. hurried by D. got off5. A. show B showing C. shown D. to show6. A .street signs B. tall buildings C. traffic lights D.backyards7. A. queuing B. sitting C. standing D. waiting8. A. meaning B. idea C. problem D. way9. A. so B. yet C. but D. still10. A suddenly B. luckily C. finally D. quickly11. A. right B. wrong C. best D. fastest12. A. supplied B. refused C. offered D. wanted13. A. it B. he C. she D. they14. A. kept B. dropped C. drove D. turned15. A. eager B. worried C. sorry D. disappeared16. A. same B. next C. kind D. silly17. A. helpless B. lonely C. unaccompanied D. alone18. A. after B. although C. until D. when19. A. respect B. concern C. help D. love20. A. mark B. sign C. symbol D. line三. 阅读理解(10题, 每题2分,共20分)AEveryone knows what a needle is. Of course there are needles and needles. Needles for sewing machines, needles for injection, you name it. But few people think of the wonder a needle works in the hands of those who practice acupuncture.During the past ten years or so, I have been suffering from terrible headache. It seems to be getting from bad to worse these days. Last night I got a sudden pain in my head. It was so terrible that I could hardly bear it. Although I swallowed all kinds of pain-killers, I didn’t feel any better. It seemed that there was nothing I could do but phone for a doctor.One of our neighbors happened to be with us. He was not a doctor, but he timidly offered his help, saying “Do you mind if I tried acupuncture on you? These needles may possibly do you some good. ” I agreed. In a moment, he had taken out a few needles from his purse. Without a moment’s delay, he fixed a few needles into the skin on my head and there. Before long, I felt thoroughtly relieved.Just then, the doctor sped through my house and said, “where is our patient?”“Sorry, Doctor. You are too late. It’s killed!”I answered in delight. It’s a miracle, isn’t it?1.The underlined word “name”in the first paragraph means to _______.A.give a name to the needles as many kinds of needle as you can think ofC.call the needles by the name of needlesD.say the name of a needle2.The underlined phrase “from bad to worse” in the second paragraphrefers to the man’s ____.A. characterB. lifeC. headacheD. health3.Which of the following statements is NOT true according to the passage?A.the neighbor fixed needles on his own head.B.The neighbor is a kind-hearted person.C.The man’s pain was killed before the doctor arrived.D.Soon after the acupuncture, the man was completely recovered.4.The sentences “you are too late. It’s killed.” mean that _______.A.the pain was killed because the doctor came lateB.the man was killed because the doctor came too lateC.before the doctor came, the man’s headache was already curedD.it was too late and the man had gone way5.The passage tells us that ____.A.everyone knows that acupuncture is a miracleB.the neighbor wanted to use acupuncture on every patientC.the effect of acupuncture on the man was unbelievableD.the patient did not believe in acupunctureBThe first day of school our professor introduced himself and challenged us to get to know someone we didn’t know. I stood up to look around when a gentle hand touched my shoulder. I turned around to find a wrinkled (皱纹的), little old lady looking up at me with a smile that lit up her entire being.She said, “Hi, girl! My name is Rose. I’m 87 years old. Can I give you a hug?”I laughted and enthusiastically (热情地) responded, “of course you may!” and she gave me a giant squeeze.“why are you in college at such a young, innocent age?” I asked. She jokingly replied, “I’m here to meet a rich husband, get married, have a couple of children, and then retire and travel!”“no seriously,” I said. I was curious what may have motivated (促使) her to be taking on this challenge at her age.“I always dreamed of having a college education and now I’m getting one!” she told me.Over the course of the year, Rose became a campus icon (偶像) and she easily made friends wherever she went. She loved to dress up and she reveled in (得意于) the attention bestowed upon her from the other students. She was living it up.At the end of the semester we invited Rose to speake at our football banquet (宴会). I’ll never forget what she taught us.“we do not stop playing because we are old; we grow old because we stopplaying. There are only two secrets to staying young, being happy and achieving success. You have to laugh and find humor every day. You’ve got to have a dream. When you lose your dreams, you die!” she said.“there is a huge difference between growing older and growing up. If you are 19 years old and lie in bed for one full year and don’t do one productive thing, you will turn 20 years olders. If I am 87 years old, and stay in bed for a year, and never do anything, I will turn 88. anybody can grow older. But every minute counts for young men,” she added.“the idea is to grow up by always finding the opportunity in change. Have no regrets. The elderly usually don’t have regrets for what we did, but rather for things we did not do. The only people who fear death are those with regrets.”She concluded her speech by courageously singing “The Song of Rose”. She challenged each of us to study the lyrics (歌词) and live them out in our daily lives.At the year’s end, Rose finished the college degree she had begun all those years agao. One week after graduation Rose died peacefully in her sleep.6.Rose made herself known to the author in a ____ manner.A. seriousB. coldC. humorousD. crazy7.From the information provided in the passage, we know _____.A.Rose finished the collage degree within a yearB.Rose did realize her dream of meeting a rich husband and gettingmarried through college educationC.Rose enjoyed her campus life very muchD.Rose grew so old that she stopped playing8.Rose delivered the speech _____.A. at the graduationB. ended with “The Song of Rose”C. which sheprepared carefully D. to challenge all the other speakers9. According to her speech, ________.A. whenever you have a dream, you succeedB. all people don’t grow up while growing olderC. Rose usually regretted having done somethingD. a nine-year-old is as old as an 87-year-old if he doesn’t doanything10. The best title of the passage is ______.A. a speech delivered by an old studentB. Rose graduated when shewas 87C. Realizing a dreamD. An 87-year-old college student四. 翻译填空1.他很可能拒绝我的提议..He is my proposal.2.我对这个城市很熟悉。

【免费下载】高二英语周测三及答案

高二英语周测(三)I 语言知识与应用(共两节,满分45分)第一节完形填空(共15小题;每小题2分,满分30分)阅读下面短文,掌握其大意,然后从l1~25各题所给的A、B、C和D项中,选出最佳选项,并在答题卡上将该项涂黑。

Someone who deeply impressed you may have appeared in your life for just a few minutes.To celebrate my 10th birthday, I invited some friends to a fast food restaurant. We 1 hamburgers and Coca Cola at the counter. When our 2 came, I started walking towards a(n) 3 table. By bad luck, my purse strap(带子)got 4 on a chair and the tray that I was holding slipped from my hands and went flying in the air. The tray, and its contents, 5 on a man who was just about to 6 a bite of his sandwich. I stared, greatly 7 , as the drinks wet his white shirt badly.Then I closed my eyes and prepared myself for his burst of 8 . Instead, he said, “ It’s OK” to comfort me before he disappeared into the washroom.Still shaky and 9 what to do next, my friends and I went to a table and sat there, trying our best to look 10 . A moment later, the man came out of the washroom and 11 our table. My heart almost stopped beating. I thought he was going to ask for my father’s 12 and call him.To my surprise, he 13 smiled at us, handed us some cash and said, “Buy yourself new hamburgers.” He then walked 14 away without even finishing his food.He could have made what was already an uncomfortable situation worse, but he chose a different way and gave us a reason to believe that there is still 15 in this world. I’ll never forget his actions.1. A. made B. ordered C. required D. demanded2. A. food B. turn C. bill D. menu3. A. tidy B. full C. empty D. crowded4. A. fixed B. caught C. cut D. tied5. A. knocked B. hung C. threw D. fell6. A. taste B. take C. swallow D. chew7. A. discouraged B. disappointed C. shocked D. annoyed8. A. bitterness B. anxiety C. anger D. sorrow9. A. unsure B. unrest C. frightened D. puzzled10. A. mild B. honest C. modest D. calm11. A. drew B. approached C. pushed D. laid12. A. help B. position C. number D. job13. A. suddenly B. strangely C. excitedly D. merely14. A. hurriedly B. gradually C. finally D. slowly15. A. kindness B. happiness C. politeness D. brightness第二节语法填空(共10小题;每小题1.5分,满分15分)阅读下面短文,按照句子结构的语法性和上下文连贯的要求,在空格处填入一个适当的词或使用括号中词语的正确形式填空,并将答案填写在答题卡标号为16—25的相应位置上。

高中2-1周末测试题(含解析)

高二数学周四早自习检测(第17周)一、选择题(共15小题;共60分)1. 设倾斜角为的直线经过抛物线:的焦点,与抛物线交于,两点,设点在轴上方,点在轴下方,若,则的值为A. B. C. D.2. 已知椭圆的长轴长是短轴长的倍,则椭圆的离心率等于C. D.3. 若抛物线的焦点与椭圆的右焦点重合,则的值为B. D.4. 直线的方向向量,平面的法向量,则有A. B. C. 与斜交 D. 或5. 是的A. 充分不必要条件B. 必要不充分条件C. 充要条件D. 既不充分也不必要条件6. 命题“对任意,都有”的否定为A. 对任意,都有B. 不存在,使得C. 存在,使得D. 存在,使得7. 已知,,,则下列向量是平面法向量的是B.8. 已知是双曲线:的一个焦点,则点到的一条渐近线的距离为 A. B.9. 已知点为抛物线:上的动点(不含原点),过点的切线交轴于点,设抛物线的焦点为,则A. 一定是直角B. 一定是锐角C. 一定是钝角D. 上述三种情况都有可能10. 已知为双曲线上任一点,过点向双曲线的两条渐近线分别作垂线,垂足分别为,,则的值为 A. B. C. D.与点的位置有关11. 已知是双曲线:的一个焦点,点在上,为坐标原点,若,则的面积为 A. B. C. D.12. 如图所示,在正方体中,是棱的中点,是侧面上的动点,且,则与平面所成角的正切值构成的集合是A. B.C. D.13. 如图,在四面体中,设是的中点,则等于C D14. 已知,是椭圆的左,右焦点,过的直线与椭圆交于,两点,,且,则与的面积之比为A. C. D.15. 若抛物线上一点到其焦点的距离为,则点的坐标为A. B.C.二、解答题(共3小题;共40分)16.已知;:不等式恒成立.若q 是 p 的必要条件,求实数的取值范围17. 已知点,椭圆的离心率为是椭圆的右焦点,直线的斜率为,为坐标原点.(1)求的方程;(2)设过点的动直线与相交于两点,当的面积最大时,求的方程.18. 如图,四面体中,是的中点,和均为等边三角形,,.(1)求证:;(2)求二面角的余弦值;(3)求点到平面的距离.17周早自习参考答案第一部分AADBA DCAAC BCDDC1. A2. A 【解析】因为,所以,所以.3. D4. B 【解析】由知,,则有.5. A6. D 【解析】原命题的否定为存在,使得.7. C 【解析】设为平面的法向量,则化简得所以.8. A9. A【解析】设点,则抛物线在点处的切线的斜率,则切线方程为,令,得,即,又因为点,所以,所以,所以.10. C【解析】设,则,即,由双曲线的渐近线方程为,则由解得交点;由解得交点.,,则有11. B12. C13. D14. D【解析】可设,由椭圆的定义可得,,由,即,即有,解得,则与的面积之比为.15. C【解析】由点到抛物线焦点的距离等于点到其准线的距离,得,.第二部分16 由题知,即,因为q是p的必要条件,所以是的充分条件.所以对任意的必有不等式恒成立,所以对任意的恒成立.因为,当且仅当时等号成立,所以,即实数的取值范围为.注:分离参数;均值不等式求最值17. (1)设,由条件知,得.又,所以,故的方程为(2)依题意知l有斜率,设直线,将代入得)Q(x2,y2)当,即时,设P(x1212221612,,1414k x x x x k k+==++所以PQ4PQ ===(同学比较左右):PQ ==又点 到直线 的距离所以 的面积设,则 ,因为,当且仅当 ,即 时等号成立,且满足 .所以当的面积最大时, 的方程为18. (1) 连接,因为和为等边三角形, 为的中点,所以由可知等边三角形和等边三角形CBD边长均为2所以二者中线满足:.又因为,所以在中,,所以,即,因为,,平面平面OC BCD BD BCD⊂⊂所以.(2)解法一:(传统的三垂线法)过作于,连接,因为,所以在平面上的射影为,根据三垂线定理得BC AE⊥( 定理来自选修2—1 P91!)所以为二面角的平面角.在中,,,,,所以二面角的余弦值为解法二:(空间向量法)以为原点,如图建立空间直角坐标系,则,,,,,因为,所以平面的法向量OA=设平面 的法向量 .由设 与OA 夹角为 ,则cos =n OA n OAθ== 因为二面角 的平面角为锐角所以二面角 的余弦值为(3) 解法一:(等体积代换法) 设点 到平面 的距离为 ,因为,所以 .在 中,,,所以 .而,所以 ,所以点 到平面的距离为,解法二:(空间向量法)OA = 设平面 的法向量为,又,设直线OA 与平面ACD 所成角为 ,则 到平面的距离为 =sin OA θ⨯又因为sin =cos ,m OA m OA m OA m OAm OAθ<>== ,则到平面的距离为=sinOAθ⨯=m OAm=5==所以到平面的距离为.。

2020高二下学期 英语周测试题 有答案详解

高二下学期英语周测试题注意事项:1.答题前,先将自己的姓名、准考证号填写在试题卷和答题卡上,并将准考证号条形码粘贴在答题卡上的指定位置。

用2B铅笔将答题卡上试卷类型B后的方框涂黑。

2.选择题的作答:每小题选出答案后,用2B铅笔把答题卡上对应题目的答案标号涂黑,写在试题卷、草稿纸和答题卡上的非答题区域均无效。

3.非选择题的作答:用签字笔直接答在答题卡上对应的答题区域内。

写在试题卷、草稿纸和答题卡上的非答题区域均无效。

4.考试结束后,请将本试题卷和答题卡一并上交。

第Ⅰ卷第一部分听力(共两节,满分30分)维克多高一英语听力3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。

AOur Museums, Galleries, and Zoo19 world-class museums, galleries, and a zooThe Smithsonian offers eleven museums and galleries on the National Mall and six other museums and the National Zoo in the greater National Capital Area. In New York City, we invite you to tour two museums in historic settings.Not near a Smithsonian museum? Look for exhibitions and museums in your community. Here we have listed some places to visit:Tips & Guidelines:Stop at any Smithsonian museum information desk where friendly and knowledgeable staff and volunteers can assistyou in planning your visit.Service animals are welcome at the museums and the National Zoo. Pets are not permitted.Lunches should be properly closed or stored in lockers during your visit.21. The Smithsonian offers all these EXCEPT_________.A. galleriesB. concertsC. museumsD. zoos22. If you are interested in animals, you can_________.A. go to 1661 Pennsylvania Avenue, NW Washington, DCB. go to 8th and F Streets, NW Washington, DCC. visit the museum 11 a.m. on ChristmasD. visit the zoo at weekends on June 2523. To arrange your visit better, you can__________.A. have lunch during your visitB. take your pets along with youC. ask the staff and volunteers for helpD. fill in an application form before your visitBThe siesta competition took place in a supermarket, with plenty of shoppers, screaming babies, talking voices, and footstep s to take the competitors’ attention away from their after lunch sleeps.Five bright blue sofas were laid out, and five competitors at a time were allowed to take a 20-minute sleep. A doctor measured their pulse to time how long they actually spent on sleep. Competitors earned extra points for snoring(打鼾), sleeping in strange positions, or wearing silly pajamas(睡衣). The winners of each round advance to the next stage in the competition.It’s amazing that any of those people would fall asleep in the middle o f such a busy place, while on couches that they are not used to. Yet, many of them did. They hugged pillows or soft toy bears. They covered their eyes with sleep masks, too. Whatever it took to help them fall asleep fast and stay asleep.The siesta is a tradition in Spain that many feel is becoming forgotten. It used to be that people would take a brief nap after lunch every day. This would energize them, and keep them going for the rest of the day. Not to mention the health benefits of a good nap. But, tha t’s all changing. People are too busy making money or watching gossip shows on TV after lunch to care about taking a nap.The National Association of Friends of the Siesta wants to bring Spain back to their traditional roots. They are doing this by having the siesta competition. They set up the competition to reward the best sleepers with money. Actually, they were paid to sleep.There are really health benefits to a midday nap. We could all learn from this tradition. It’s a much better way to get more ener gy than drinking a cup of coffee. It is also believed that a nap, and in fact a good night’s sleep, can help reduce heart disease. The more rested we are, the less stress we feel with day-to-day life.24. The underlined word “siesta” here probably means“_____”.A. oversleepB. night sleepC. a short sleep after supperD. a short sleep after lunch25. In what situation did the competition take place?A. In a noisy place.B. In a quiet place.C. In a comfortable place.D. In a familiar place.26. When the competitors went to sleep, they could ____.A. have their own bedsB. use nothing to cover their eyesC. have doctors to help themD. use something to help them sleep27. The competition is held because the Association wants to _____.A. know if people still know the traditional habitB. call on people to have their traditional habitC. do some research on how people sleepD. give people money in this wayCLadies, if you find yourselves wandering an unknown city with a man who is questioning your directional abilities, don’t doubt yourselves.A recent small study published in the journal Psychological Science found that the longstanding theory that women have a more difficult time reading maps wasn’t true.Historically, men have performed better than women in studies that tested their spatial(空间的) ability. But the leading study author Margaret Tarampi and a researcher from the University of California, Santa Barbara theorized that social influences had an effect on this outcome: The cultural belief that women are worse at reading maps could be seen as a stereotype(固有模式) threat, meaning women believe they’re bad at something, so they perform poorly as a result. The researchers also theorized that women performed better at skills that involve a social element. In other words, if reading a map means helping someone else, they might perform better.Tarampi and her team tested both theories on undergraduate students at UCSB across three separate experiments. And, indeed, the results showed that men scored better than women only when they were mentioned the stereotype of male superiority before the test.When the researchers did not mention it and gave a social context for reading the map, women’s scores improved across the board. Women also performed better when the test maps simply included human figures, rather than just randomobjects and landmarks.So ladies, next time you struggle to figure out whether you should make a left or right at the Louvre, take out your tourist map with a healthy dose of confidence.28. What is the purpose of the first paragraph?A. To warn women of one of their shortcomings.B. To introduce the topic of the passage.C. To encourage women to read maps.D. To state a social phenomenon.29. Women are thought to be worse at reading maps because of ________.A. a poor sense of directionB. a lack of experienceC. a social stereotypeD. threats from others30. Men performed better than women in the study when .A. they were asked to help someone else by reading a mapB. they were informed of the stereotype before the testC. the test maps simply included human figuresD. there were social elements in the map31. What can be concluded from the passage?A. Women can read maps as well as men.B. Women are better drivers than men.C. Women always have difficulty reading maps.D. Women are better at spatial ability.DBeing stuck behind crowds of slow walkers when you’re in a hurry is one of the most annoying things. But now, Lakeside Shopping Centre in Essex, one of the UK’s largest shopping malls, has introduced its very own fast lane(通道) for shoppers in a hurry, aiming to help impatient shoppers avoid slow walkers and the anger that goes with them.The Lakeside Shopping Center in Essex has introduced a 720-foot “fast lane” reserved for fast walkers only, just in time for the Christmas rush. The center’s management team said: “the lane will help the shoppers who know where they want to go quickly and don’t want to get caught in behind unhurried shoppers at the busiest time of the year.”The fast lane was introduced after a MasterCard survey found that 80 percent of consumers found slow walkers their biggest annoyance while shopping. The research also found that the average walking speed slowed down by 21 percent during the Christmas shopping period, as most shoppers spent more time window shopping during this period.Gary Mortimer, an expert from the Queensland University of Technology, said he wasn’t surprised by the promotion about the launch of the fast lane, and thought the concept would appeal to shoppers all over the world. “Crowded parking lots and busy shopping centers tend to be two of the biggest complaints of shoppers over the festive season,” he said. “I think the fast lanes are a new approach. However, I suspect it will be a bit like fast lanes on the highway, so it might end upbeing more trouble than its worth.”The MasterCard survey also identified the four most common types of shoppers. They include “Skaters” —the 31 percent of shoppers who try and make their way through crowds politely, “Dodgers”—the 51 percent of customers who move down the paths to avoid slow walkers, “Bulldozers” —the 11 percent who push their way through crowds, and “Tutters”-the l5 percent who express their frustrations to slow walkers.32. The fast lane is intended for the shoppers who .A. can’t move quickly because of physical disabilitiesB. buy things on their shopping lists quicklyC. take their time to do window shoppingD. want to leave the mall quickly33. What is Gary Mortimer’s attitude to the fast lane?A. Supportive.B. Indifferent.C. Critical.D. Objective.34. Who patiently moves behind a slow crowd?A. Skaters.B. Dodgers.C. Bulldozers.D. Tutters.35. What is the main idea of this passage?A. Shopping can be annoying sometimes.B. How to avoid “slow walkers” when shopping.C. The problems that shopping centers face during busy holidays.D. The shopping mall creates the fast lane to avoid “slow walkers”.第二节(共5小题;每小题2分,满分10分)根据短文内容,从短文后的选项中选出能填入空白处的最佳选项,选项中有两项为多余选项。

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考点:本题考查气体状态方程。 20. 如图所示,一竖直放置的、长为 L 的细管下端封闭,上端与大气(视为理想气体)相 通,初始时管内气体温度为 T1 。现用一段水银柱从管口开始注入管内将气柱封闭,该过 程中气体温度保持不变且没有气体漏出,平衡后管内上下两部分气柱长度比为 l∶3。若 将管内下部气体温度降至 T2 ,在保持温度不变的条件下将管倒置,平衡后水银柱下端与 管下端刚好平齐(没有水银漏出) 。已知 T1 水银柱的长度 h 和水银的密度 。 【答案】 h 【解析】 试题分析: 设管内截面面积为 S,初始时气体压强为 p0 ,体积 为 V0 LS 注入水银后下部气体压强为 p1 p0 gh 体积为 V1
M ρ NA
C.自然界一切过程能量都是守恒的,符合能量守恒定律的宏观过程都能自然发生 D.布朗运动并不是分子的运动,但间接证明了分子在永不停息的做无规则运动 3.下列说法中正确的是( ) A.悬浮在液体中的微粒越大,在某一瞬间撞击它的液体分子数越多,布朗运动越明显 B.在液体表面任意一条线的两侧,相互之间的作用力是引力,它的作用效果是使液体 表面绷紧 C.晶体一定是各向异性的,非晶体一定是各向同性的 D.饱和汽压就是液体液面上方气体的压强,且温度越高,饱和汽压越大 4.下列说法不正确的是( ) A.相同质量 0℃的水的分子势能比 0℃的冰的分子势能大 B.大颗粒的盐磨成了细盐,就变成了非晶体 C.自行车打气越打越困难主要是因为胎内气体压强增大而非分子间相互排斥的原因 D.气体分子单位时间内与单位面积器壁发生碰撞的次数,与单位体积内气体的分子数 和气体温度都有关 5. 关于下列四幅图的说法,正确的是( )
p1V pV T1 T

对于 B 容器中的氧气,其气体状态为: 5 p2=1.0×10 pa V2=V T2=600K p'2=p V'2=V2(题目所设) 由气态方程可知
T’2=T
p2V pV2 T2 T

联立案为 V1∶V2=4∶1 【点评】解决有关两部分气体相关联的问题时,要注意两方面的问题。首先,要把两部 分气体分开看待,分别对每一部分气体分析出初、未状态的 p,V,T 情况,分别列出相 应的方程(应用相应的定律、规律)切不可将两部分气体视为两种状态。 其次,要找出两部分气体之间的联系,如总体积不变,平衡时压强相等,等等。例如本 题中,阀门关闭时两边气体体积相等,阀门打开两边气体压强相等,温度相等,利用这 些关系,可以消去方程中的未知因素,否则,也解不出正确结果。
单分子油膜
F
斥 力
水 甲 乙 丙
O
引 力
r0 丁
r
A.甲图中估测油酸分子直径时,可把油酸分子简化为球形处理 B.乙图中,显微镜下看到的三颗微粒运动位置连线是它们做布朗运动的轨迹 C.烧热的针尖,接触涂上薄蜂蜡层的云母片背面上某点,经一段时间后形成图丙的形 状,则说明云母为非晶体
D.丁图中分子间距离为 r0 时,分子间作用力 F 最小,分子势能也最小 6.我国将开展空气中 PM2.5 浓度的监测工作。PM2.5 是指空气中直径小于 2.5 微米的悬浮 颗粒物,其漂浮在空中做无规则运动,很难自然沉降到地面,吸入后会进入血液对人体 形成危害。矿物燃料燃烧的排放是形成 PM2.5 的主要原因,下列关于 PM2.5 的说法中 错误的是( ) A.温度越高,PM2.5 的运动越激烈 B.PM2.5 在空气中的运动属于分子热运动 C.周围大量分子对 PM2.5 碰撞的不平衡使其在空中做无规则运动 D.倡导低碳生活减少化石燃料的使用能有效减小 PM2.5 在空气中的浓度 7. 用密封性能良好的活塞把一定质量的理想气体封闭在导热性能良好的汽缸中,汽缸的 内壁光滑。现将汽缸缓慢地由水平放置(如图甲所示)变成竖直放置(如图乙所示) ,在 此过程中如果环境保持恒温,下列说法正确的是( ) A.气体分子的平均速率不变 B.气体分子的平均动能变大 C. 气缸内壁单位面积上受到气体分子撞击的平均 作用力不变 D.气缸内气体的分子数密度变小 8.关于温度的概念,下列说法正确的是( ) A.某物体的温度为 0℃,则其中每个分子的温度都为 0℃ B.温度是物体分子热运动的平均速率的标志 C.温度是物体分子热运动平均动能的标志 D.温度可从高温物体传递到低温物体,达到热平衡时,两物体温度相等 9.如图所示,一开口向右的气缸固定在水平地面上,活塞可无摩擦移动且不漏气,气缸中 间位置有一挡板,外界大气压为 P0 。初始时,活塞紧压挡板处。现缓慢升高缸内气体温 度,则图中能正确反应缸内气体压强变化情况的 P—T 图象是(
11. 如图所示, 一端封闭, 一端开口截面积相同的 U 形管 AB, 管内灌有水银, A 两管内水银面高度相等,闭管 A 内封有一定质量的理想气体,气体压强为 72cmHg。今将开口端 B 接到抽气机上,抽尽 B 管上面的空气,结果两水银柱 产生 18cm 的高度差,则 A 管内原来空气柱长度为 A. 18cm B. 12cm C. 6cm D. 3cm 12. 如图所示,两个直立气缸由管道相通。具有一定质量的活塞 a、 b 用钢性杆固连,可在气缸内无摩擦地移动。缸内及管中封有一定 质量的气体。整个系统处于平衡状态。大气压强不变。现令缸内气 体的温度缓慢升高一点,则系统再次达到平衡状态时( )
c

10. 如图所示,两端开口的足够长 U 型玻璃管,左管插入足够大的水 银槽中,右管内有一段水银柱,管中封闭有一定质量的理想气体,左 管始终没有离开水银面,下列说法中正确的是( ) A.保持管子不动而将气体的温度降低一些,则右管内水银柱不动 B. 保持管子不动而将气体温度升高一些, 则左管内外液面高度差增大 C.保持温度不变,把管子向上移动一些,则左管内外液面高度差增大 D.保持温度不变,把管子向下移动一些,则封闭气体的体积不变
V1 T1 = V2 T2
V2=2V1
(2 分) (1 分) (1 分) (1 分)
T1=(273+27)K=300K 解得 T2=600K ②此过程为等容变化过程
由查理定律得
p2 T2 = p3 T3
又 p2=p0
(2 分) T3=300K (1 分) (1 分)
解得 p3=
1 1 5 p2= p0=0.5×10 Pa 2 2
P. 不动,此时大气压强为 P 0 ,求气缸内气体的压强
【答案】 P P0
F S
【解析】 试题分析: 以活塞为研究对象,进行受力分析如图:
水平方向合力为 0,有: F P0 S P 解得: P P0
S sin sin
(3 分)
F S
(3 分)
考点:本题考查了封闭气体的压强、受力分析、物体的平衡。 18. 如图所示,在一辆静止的小车上,竖直固定着两端开口、内径均匀的 U 形管,U 形管 的竖直部分与水平部分的长度均为 l,管内装有水银,两管内水银面距管口均为
高二周日测试答案版
李江涛
一.选择题(4x12=48) 1.下列说法正确的是( ) A.布朗运动就是液体分子的运动。 B.两分子之间同时存在着引力和斥力,引力和斥力都随分子间的距离增大而减小,但 斥力比引力减小得更慢。 C.热力学温标的最低温度为 0 K,它没有负值,它的单位是物理学的基本单位之一。 D.气体的温度越高,每个气体分子的动能越大。 2.以下说法正确的是( ) A.当分子间距离增大时,分子势能必定增大 B.已知某物质的摩尔质量为 M,密度为 ρ ,阿伏加德罗常数为 NA,则该种物质的分子 体积为 V0=
l 。现将 2
U 形管的左端封闭, 并让小车水平向右做匀加速直线运动, 运动过程中 U 形管两管内水银
面的高度差恰好为
l 。已知重力加速度为 g,水银的密度为 ρ ,大气压强为 p0=ρ gl,环 4
境温度保持不变,求 (1)左管中封闭气体的压强 p; (2)小车的加速度 a。 【答案】
a
7 g 12
【解析】 (ⅰ)以左管中封闭的气体为研究对象,设 U 形管的横截面积为 S,由玻意耳定律
l l l p0 S p ( - ) S 2 8 2
解得 p
3分
4p0 3
3分
(ⅱ)以水平管内长为 l 的水银为研究对象,由牛顿运动定律
5 3 ( pS + g lS )-(p0 S g lS ) lSa 8 8 7 解得 a 1分 g 12
【解析】根据气体状态方程有: ( P0 h) H1 ( P0 h) H 2 ,解得 P0 三.计算题(7+10+10+10=37) 17. 如图所示,气缸内装有一定质量的气体,气缸的截面 积为 S ,其活塞为梯形,它的一个面与气缸成 角,活塞 与器壁间的摩擦忽略不计, 现用一水平力 F 推活塞, 汽缸
15.如图,A,B 是体积相同的气缸,B 内有一导热的、可在气缸内无摩擦滑动的、体积不 5 计的活塞 C, D 为不导热的阀门。 起初, 阀门关闭, A 内装有压强 p1=2.0×10 a 温度 T1=300K 5 的氮气。 B 内装有压强 P2=1.0×10 Pa, 温度 T2=600K 的氧气。打开阀门 D,活塞 C 向右移动,最后达到 平衡,以 V1 和 V2 分别表示平衡后氮气和氧气的体 积,则 V1∶V2=______(假定氧气和氮气均为理想 气体,并与外界无热交换,连接气缸的管道体积 可忽略) 对于 A 容器中的氮气,其气体状态为: 5 p1=2.0×10 pa V1=V T1=300K P'1=P V'1=V1(题目所设) T'1=T 由气体状态方程可知:
B
A.活塞向下移动了一点,缸内气体压强不变 B.活塞向下移动了一点,缸内气体压强增大 C.活塞向上移动了一点,缸内气体压强不变 D.活塞的位置没有改变,缸内气体压强增大 二.填空题(3x5=15) 13.容积为 20L 的钢瓶内,贮有压强为 1.5×107Pa 的氧气。打开钢瓶的阀门,让氧气分装 到容积为 5L 的氧气袋中(袋都是真空的),充气后的氧气袋中氧气压强都是 1.0×106Pa, 设充气过程不漏气,环境温度不变,则这瓶氧气最多可分装_____袋。 【答案】56 袋 【解析】 试 题 分 析 : 应 用 理 想 气 体 状 态 方 程 pV n R T , 环 境 温 度 不 变 p1V1 p2V2 ,
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