江苏省如皋市搬经中学2016-2017学年高一下学期理科综合六
江苏省如皋市搬经中学2016-2017学年高一年级下学期数学(理科)苏教版必修五3月份阶段考试
高一数学综合训练四一.填空题(本大题共14小题,每小题5分,共70分)1.已知数列{}n a 为等比数列,且a ,64,495==a 则a 7=___________.2.在等差数列{}n a 中,,2=d 且a 431,,a a 成等比数列,则a 2=______.3.设S n 为数列{}n a 的前n 项和且S n =1+n n ,则51a =_________.4.已知数列{}n a 满足11++=n n a n ,则该数列的前n 项和等于9,则n = .5.若数列{}n a 是等比数列,106=a ,则8754lg lg lg lg a a a a +++= .6.在等差数列{}n a 中,已知168S S =,则24S = .7.在数列{}n a 中,),2()1(,1111*--∈≥-+==N n n a a a a n n n n ,则53a a 的值为 .8.对任意等比数列{}n a ,下列说法一定正确的是 (填序号).(1)931,,a a a 成等比数列;(2)632,,a a a 成等比数列(3)842,,a a a 成等比数列;(4)963,,a a a 成等比数列9.已知数列满足)(211*+∈=+N n a a n n ,且n S a ,11=是数列{}n a 的前n 项和,则21S = .10.已知等比数列中,,81,341==a a 若数列{}n b 满足,log 3n n a b =则数列⎭⎬⎫⎩⎨⎧+11n n b b 的前n 项和n S =11.“嫦娥奔月,举国欢庆”,据科学家计算,运载“神六”的“长征二号”系列火箭,在点火第一秒钟通过的路程为2km ,以后每秒钟通这的路程都增加2km ,在达到离地面240km的高度时,火箭民飞般分离,则这一过程大约需要的时间是 秒。
12.设数列{}n a 是公比为q 的等比数列,1||>q ,若数列{}n a 的连续四项构成集合{},81,36,54,24--则q =.13.将全体正整数排成一个三角形数阵按如图所示的排列规列,第n 行(n ≥3)从左到右的第三个数为_______.14.4321,,,a a a a 是各项不为零的等差数列,且公差0≠d ,将此数列删去某一项得到的数列(按原来的顺序)是等比数列,则da 1= .二、解答题 (本大题共6个小题,共90分)15.设等比数列{}n a 的前n 项和且S n ,若9632s s s =+,求数列的公比q.16.设等差数列{}n a 满足.9,5103-==a a(1)求{}n a 的通项公式(2)求{}n a 的前n 项和n S ,并求当n S 最大时n 的值.17.数列{}n a 中,a 1=2,a cn a n n +=+1(c 是常数,n=1,2,3,…),且a 321,,a a 成公比不为1的等比数列.(1)求c 的值;(2)求{}n a 的通项公式.18.已知数列{}n a 是首项为正数的等差数列,数列⎭⎬⎫⎩⎨⎧⋅+11n n a a 的前n 项和为.12+n n (1)求数列{}n a 的通项公式(2)设,2)1(n a n n a b ⋅+=求数列{}n b 的前n 项和.n T19.设数列{}n a 的前n 项和为n S ,.*∈N n 已知,45,23,1321===a a a 且当2≥n 时,.854112-+++=+n n n n S S S S(1)求4a 的值 (2)求证:⎭⎬⎫⎩⎨⎧-+n n a a 211为等比数列 (3)求数列{}n a 的通项公式。
如皋市搬经中学2016—2017学年度高三必修二第五、六单元综合练习
二轮单元过关·必修二·中国近现代社会生活的变迁+世界资本主义经济政策的调整1.(2017如皋期初)1912年1月2日,中华民国南京临时政府成立的第二天,孙中山向全国颁发了《临时大总统改历改元通电》:“中华民国改用阳历。
”1月13日,临时政府要求:新旧二历并存,新历下附星期,旧历下附节气,吉凶神宿一律删除。
这些规定表明A.近代社会风俗开始呈现中外融合特点 B.临时约法的颁行推动了社会风俗变迁C.近代中国社会的开放性和科学性增强 D.南京临时政府反对一切封建迷信活动2. 1892年,维新思想家宋恕提出“欲更官制、设议院、改试令,必自易西服始”。
康有为在奏议中也不止一次提及“易服”。
维新派如此重视易服的主要原因是( )A.改制中易服更易推行B.意在营造改制的社会氛围C.中国需改变对外形象D.长袍马褂代表了守旧势力3.(2016·江苏单科)1921年成都警察厅发布通令:“近日妇女每多剪发齐眉,并梳拿破仑、华盛顿等头式(流行的男式发型),实属有伤风俗,应予以禁止,以挽颓风……如敢固违,定以妇女坐法并处罚家长。
”对此解读正确的是( )A.剪发齐眉成为妇女的普遍选择B.男女平等思想逐渐深入人心C.新潮女性的行为冲击传统习俗D.处罚措施体现民国法治精神4.1912年4月22日《申报》刊载《西装叹》:“更有西装新少年,短衣窄袖娇自怜。
足踏黄革履,鼻架金丝边。
自诩开通世莫敌,爱皮西地口头禅。
醉心争购舶来品,金钱浪掷轻利权。
”这表明( )A.国人对西方文化认识过于肤浅B.着西装已成为当时普遍现象C.西方生活方式已成为都市主流D.大众传媒理性看待社会时尚5.四幅新中国不同时期的宣传画。
按画中主题体现的时间先后顺序,排列正确的是( )A.①②③④B.②③①④C.③①②④D.④②③①6.(2014·江苏单科,6)下面漫画《发辫之将来》从本质上表明,当时社会上一部分人( )A.盲目崇尚西洋风尚B.刻意保存传统精华C.旧有观念根深蒂固D.主动破除国人陋俗7.某《英汉辞典》在解释“bus”时,列项有①公共汽车②火箭的一级③火车车厢④公共马车。
江苏省如皋市搬经中学2016—2017学年度高二年级选修六综合测试
一、单项填空1. ________ news hit ________ Venice Film Festival unexpectedly: Hayao Miyazaki, the world's most honored creator of animated features, was ending his movie career.A. /; theB. /; /C. The; /D. The; the2. Now that the banks are back on their feet, we expect extraordinary ________ from them to help rebuild the economy.A. commitmentB. appointmentC. instrumentD. requirement3. —Can you help me with my English?—Oh, sorry. I ________ all day.A. am rushed off my feetB. am struggling to my feetC. am standing on my own feetD. am knocking off my feet4. A decision was ________ that those who once ________ to the company in order to get the job would not be let ________.A. made; lied; to stayB. given; lay; stayC. done; lay; stayingD. made; laid; stayed5. It's certain that we are ________ to having a clean and beautiful home in the future because some special projects are ________ to protect the environment.A. under way; on the wayB. in the way; on the wayC. on the way; by the wayD. on the way; under way二、完形填空I worked on boats for twenty five years. Now I am a docking pilot(码头领航员). My job is to __6__in the large luxury liners(轮船) and stay with them until they are __7__ stopped in the harbour. Sometimes this requires two tugs(拖船),sometimes many more, __8__ the tide and the weather.Most of you no __9__ have seen these tugs pushing and pulling at the big liners. What they are doing doesn't seem to make much __10__,as the minute the big boat is alongside the port, her heavy rope made fast, the job is__11__.I felt very __12__ after I had docked several of the large liners. I realized I was in __13__ ofa great ship worth millions of dollars and the __14__ were depending on me to bring her safely to the port. These tugs, whether one or ten, __15__ about in accord with(与……一致) whistle signals I __16__ them from the bridge of the big liner. These signals make up a language that is just as __17__ as the spoken word, or even more so, __18__ our docking signals are hardly misunderstood. The captain of each tug does his work according to the signals he __19__. He never asks questions. He takes __20__ faithfully,and it __21__works out.Working around tugboats, where so much depends on __22__,has had its effect on what I believe. I believe that if I am to attain a __23__ place in the world I must have the help of my fellow men just as the great transatlantic(远洋的) liners depend on the __24__of the little tugs to bring them safely to the __25__.6. A. put B. push C. bring D. join7. A. safely B. dangerously C. immediately D. illegally8. A. adding to B. letting alone C. thinking of D. depending on9. A. wonder B. doubt C. need D. exception10. A. sense B. profit C. progress D. advance11. A. prepared B. lost C. planned D. done12. A. bored B. meaningless C. important D. tired13. A. control B. praise C. defence D. place14. A. clerks B. sportsmen C. readers D. owners15. A. look B. move C. hear D. worry16. A. write B. send C. mail D. bring17. A. dependable B. incredible C. doubtful D. visible18. A. though B. if C. while D. because19. A. gives B. spreads C. receives D. Passes20. A. nothing B. anything C. something D. everything21. A. never B. ever C. always D. seldom22. A. imagination B. creation C. teamwork D. performance23. A. successful B. frustrating C. regretful D. embarrassing24. A. prevention B. help C. objection D. delay25. A. airport B.station C. port D. Stop三、阅读理解ACallaghan, the father of a teenage daughter, Emma, couldn't understand why he had developed a disease which normally affects men twice his age. A routine CT scan showed a tumor growing on his kidney (肾).“I was by myself,”Callaghan recalls. “I thought it was a kidney stone. I was in the doctor's office for about 45 minutes that day and I don't remember anything more than one minute of it. The average life span for someone who has my condition is 12 months.” He will take pills every day, possibly for the rest of his life.Callaghan began finding hope in a small act of love for Emma: handwriting notes of love on a napkin (餐巾纸) to place in her lunch box; nothing extraordinary or life-changing, just some words of encouragement for Emma to think of during the day. His numbered days meant numbered napkins. “The reason I started writing notes to her is that I wanted to matter in her life,”said Callaghan. “I see so many working parents today where they kind of give up a lot of their parenting. I wanted Emma to be able to look at me at whatever age she was and say ‘My dad loves me. I need his advice, I need his love and I trust that my dad's going to be there.’”But what started out as a father's way of showing his daughter his love quickly grew. His idea to share his inspirational napkin messages with friends and family on the Internet sparked(触发) a book. His new book Napkin Notes shares each message he's ever sent to his daughter as well as more about his brave battle with cancer and life lessons he hopes Emma and maybe even grown readers can learn.Now Callaghan is still fighting for his life. “The act inspires me just as much as I hope it inspires my daughter,”said Callaghan.26. Which of the following does Callaghan disapprove of when he was diagnosed with cancer?A. He was determined and got well prepared for the fatal disease.B. He wondered why he could develop the cancer at so young an age.C. He felt completely scared because he was alone at the doctor's office.D. He forgot everything about the regular scan at the office, more or less.27. According to the passage, Callaghan's new book Napkin Notes ________.A. was lacking in what he did to struggle against cancerB. was intended to set a good example to other patientsC. was supposed to earn some money for his daughterD. was inspired from what he did to encourage Emma28. What would be the best title for the passage?A. Napkin Notes of LoveB. A Moving StoryC. Life Against CancerD. An Inspiring BookBA group of brave tourists became the first visitors to cross a new 590-foot-high glass-bottomed suspension bridge in China. This special structure, the first of its kind in the world, is situated in the province of Hunan.Images have shown online showing the visitors gripped with fear and frozen in awe while standing on the see-through walkway. One female tourist is seen holding the handrail tightly and had to be dragged along by her friend.The bridge had previously been a wooden one that linked two peaks of Stone Buddha Mountain in Shiniuzhai Geopark but is now a 984-foot-long glass walkway. Part of the bridge had already been replaced with glass in 2014, attracting groups of fearless tourists. However, 11 engineers have been working on the bridge over the last few months to replace all the wooden parts with glass, transforming the bridge into the world's first glassbottomed suspension bridge.According to reports, several visitors were so terrified that they could barely move. Some were seen holding on to each other as well as to the railings as they made the crossing. Many people were filled with fear as they tried not to look down to the steep drop below. The bridge was said to move from side to side slightly when people walked across it, making people feel even more frightened. However, as part of the scenic site, it also offered incredible views over the geopark and the landscape below. The amazing construction has already been named “hero bridge”because of the amount of courage required to cross it.Those worried about the safety of the bridge can rest easy. The glass forming the footpath are said to be 25 times stronger than regular window glass. They're also created to stay in shape and withstand impact although special footwear has been issued to visitors.29. What is the main idea of Paragraph 2?A. The history of the glass bridge.B. The reason why the bridge was built.C. The safety of the glass bridge.D. The wooden bridge should be changed.30. What made traveling through the bridge more fearful?A. The wooden parts with glass.B. The way people walk on it.C. The shaking of the bridge.D. The great landscape below.31. Why is the bridge called “hero bridge”?A. Because only courageous people can cross it.B. Because the bridge was built by brave people.C. Because the bridge doesn't have the railings.D. Because people are full of courage when on it.32. What measure did people take to make the bridge safe?A. They used regular window glass.B. They created strong glass in shape.C. They gave glass special footwear.D. They made construction special.四、任务型阅读请认真阅读下列短文,并根据所读内容在文章后表格中的空格里填入一个最恰当的单词。
江苏省如皋市搬经中学2016—2017学年度高三必修一第五单元综合练习(原卷版)
必修一第五单元从社会主义理论到社会主义制度的确立1. 1908年,刘师培《<共产党宣言>序》一文中指出:“欲明欧洲资本制之发达,不可不研究斯编(指《共产党宣言》);复以古今社会变革均由阶级之相竞,则对于史学发明之功甚巨;讨论史编亦不得不奉为圭臬(指准则)。
”他在这里强调历史研究要运用A. 文明史观B. 阶级斗争史观C. 全球史观D. 现代化史观2. “布尔什维克力图领导并直接参加了两个群众的革命斗争,但尚无足够力量使自发的革命洪流完全置于自己的影响之下。
这次革命的结果超出了一般资产阶级革命的范围。
”材料反映的革命事件A. 由列宁直接领导并指挥B. 仍属于资产阶级革命范畴C. 推翻了资产阶级临时政府D. 采取和平夺取政权的方式3. 1895年为《法兰西内战18481850》一书所作的导言中写道:“历史表明我们也曾经错了,我们当时所持的观点只是一个幻想,历史做的要更多,它不仅消除了我们当时的迷误,并且还完全改变了无产阶级进行斗争的条件。
1848年的斗争方法,今天在一切方面都已经陈旧了,这一点值得在这里较细致地加以研究的。
”对材料理解正确的是A. 用暴力夺取政权B. 充分利用合法斗争的方式C. 全世界无产者联合起来D. 资本主义必将被社会主义所取代4. 1917年3月,俄国临时政府成立不久,彼得格勒苏维埃宣布了一号法令,规定所有部队都应选举产生士兵委员会,负责管理本单位的政治活动,监管本单位的武器。
这反映出彼得格勒苏维埃A. 行使中央政府的职权B. 具有无产阶级政权的性质C. 与临时政府全面对抗D. 已经掌握全部军队指挥权5. 《共产党宣言》指出:“大工业建立了由美洲的发现所准备好的世界市场,世界市场使商业、航海业和陆路交通得到了巨大的发展,这种发展使资产阶级也愈是发展。
由此可见,现代资产阶级本身是一个长期发展过程的产物。
”这段论述反映马克思和恩格斯分析社会历史的首要出发点是A. 阶级斗争的开展B. 旧生产关系的变革C. 整体世界的演进D. 社会生产力的发展6. 1872年在《共产党宣言》发下表周年时,马克思、恩格斯指出:《共产党宣言》里原理的实际运用“随时随地都要以当时的历史条件为转移”。
2016-2017学年江苏省如皋市搬经中学高一下学期数学(理)综合六
高一数学综合训练六一、填空题:本大题共14小题,每小题5分,共70分.1. 已知三点(3,1)A ,(2,)B k -,(8,11)C 共线,则k 的取值是 .2. 在ABC ∆中,已知4a =,6b =,120C =,则sin A 的值是 .3. 在等比数列{}n a 中,131,3a S ==,则q =4. 若直线062=++y mx 与直线01)1(2=-+-+m y m x 平行,则实数=m 。
5. 在△ABC 中,c b a ,,分别是C B A ∠∠∠,,的对边长,已知c b a ,,成等比数列,且bc ac c a -=-22,则=∠A __________.6. 在等差数列{}n a 中,28149a a a ++=,则15S = .7. 直线()011:2=--+y x a l 的倾斜角的范围是 .8. 直线l :()120kx y k k R -++=∈不经过第四象限,则k 的取值范围为 .9. 在ABC ∆中,B a c cos 2=,则ABC ∆的形状是 .10. 已知)*n a n N =∈,则1210a a a +++的值为 ;11. 等差数列}{n b 中,53=b 错误!未找到引用源。
,95=b 错误!未找到引用源。
,数列}{n a 中,11=a 错误!未找到引用源。
,n n n b a a =--1)2(≥n 错误!未找到引用源。
错误!未找到引用源。
,则数列}{n a 的通项公式为=n a 错误!未找到引用源。
.12. 直线20kx y ++=和以(2,1),(3,2)M N -为端点的线段相交,则实数k 的取值范围 .13. 在锐角三角形ABC ,A 、B 、C 的对边分别为a 、b 、c ,6cos b a C a b +=,则t a n t a n t a n t a n C C A B+= .14. 下述数阵称为“森得拉姆筛”记为S .其特点是每行每列都是等差数列,第i 行第j 列的数记为ij A .17139511310741975315432111111则数82在该数阵S 中共出现了 次.二、解答题:本大题共6小题,共90分.15. 已知锐角ABC ∆的三内角A 、B 、C 的对边分别是,,a b c 且222()tan b c a A +-=(1)求角A 的大小;(2)若a =2b c +=,求两边,b c 的大小16. 求适合下列条件的直线方程:(1)经过点P (3,2),且在两坐标轴上的截距相等;(2)过点()1,2P 且与两坐标轴的正半轴围成的三角形面积最小。
如皋市搬经中学2016—2017学年度高三必修一第二单元综合练习(解析版)
必修一第二单元古代希腊罗马的政治制度一、选择题1. 《左传》有云:“昔周公、大公股肱周室,夹辅成王。
成王劳之,而赐之盟,曰:世世子孙无相害也。
载在盟府,大师职之。
”材料表明A. 周天子与诸侯王关系近乎平等B. “礼崩乐坏”的局面开始出现C. 诸侯之间通过盟约来维系和平D. 等级森严的官僚政治已经确立【答案】C【解析】试题分析:本题主要考查宗法制。
依据材料“昔周公、大公股肱周室,夹辅成王。
成王劳之,而赐之盟,曰:世世子孙无相害也”可知,西周加强统治集团内部的稳定与团结,实行分封制,诸侯之间通过盟约来维系和平,故C项正确;材料“成王劳之,而赐之盟”体现了周王和诸侯王之间的关系是不平等的,周王是天下共主,故A项错误;材料反映的是西周初年,分封制度刚刚建立的状况,故B项错误;官僚体制是秦朝统一六国后实施的,故D项错误。
所以答案选C。
考点:古代中国的政治制度·夏、商、周的政治制度·分封制【名师点睛】分封制作用:①周人的势力范围扩大;②确立了周王天下共主的地位,巩固了统治;③分封制使西周贵族集团形成了“周王—诸侯—卿、大夫—士”的等级序列。
2. 据《大唐语林》记载,某人请求玄宗开恩帮女婿王某科举及第,玄宗答应。
负责科举的礼部侍郎将皇帝钦点王某情况报告宰相。
宰相说:“科举是为国家取才大典,怎么能凭皇帝一句话,就把功名与人?”玄宗只好取消成命。
这则记载表明A. 礼部与宰相共管科举B. 相权对皇权有制约性C. 科举制度具有公平性D. 科考不受皇权的干预【答案】B【解析】试题分析:本题考查从汉到元政治制度的演变。
依据所学知识可知,礼部负责科举考试的组织工作,故A项错误;材料信息“玄宗答应开恩帮女婿王某科举及第,宰相反对,玄宗只好取消成命”说明了皇权一定程度受到了相权的制约,故B项正确;科举制度具有相对公平性,故C项错误;根据所学知识可知,科考不受皇权的干预不符合史实,故D项错误。
3. 公元前451—450年,雅典通过了伯里克利所提议的法律,规定只有父母双方皆是雅典公民的人,才能成为雅典公民。
2016—2017学年江苏省如皋市搬经中学高一下学期期末模拟测试二英语试题
一、单项填空1. Every time I ________ a good essay in reading newspapers, I feel like cutting it out and keep it.A. work onB. make outC. care aboutD. come across2. The fresh air in the morning is pleasant ________. You'd better get up early to do some exercise.A. to be breathedB. to breatheC. breathingD. being breathed3. Recently, the technology of cloud computing ________ in many commercial fields, and has achieved enormous economic benefits in our country.A. has appliedB. has been appliedC. appliedD. applies4. It's not doing the things we like, but liking the things we have to do ________ makes life happy.A. thatB. whichC. whatD. who5. —Have you finished your work?—Yes. Actually, I ________ it before you came.A. have finishedB. had finishedC. finishedD. would finish6. We did all we could to ________ his creative thinking, expecting that he could think up some new ideas for the project.A. expandB. inspireC. presentD. instruct7. ________ more effective measures put in place, the disease has been brought ________ control.A. For; beyondB. For; underC. With; beyondD. With; under8. ________ news came ________ the Ebola virus which is spreading has caused a great number of people's deaths among several countries in Africa.A. Disturbing; thatB. Disturbed; whichC. Disturbing; whichD. Disturbed; what9. The high hill is only meaningful for the climbers rather than those ________ it.A. getting rid ofB. getting along withC. looking up toD. looking down upon10. The Greens' shop has been broken into three times in the last two years, each ______ their great loss.A. resulting inB. to result inC. resulted inD. results in二、完形填空As the pace of life continues to increase, we are fast losing the art of relaxation. __11__ you are in the habit of rushing through life, being on the go from morning till night, it is hard to __12__ down. But relaxation is __13___ for a healthy mind and body.Stress is a __14__ part of everyday life and there is no way to __15__ it. In fact, it is not the bad thing that it is often supposed to be. A __16__ amount of stress is important to provide motivation and give __17__ to life. It is only when the stress gets out of control __18__ it can lead to poor performance and __19__ health.The amount of stress a person can bear __20__ very much on the individual. Some people are not afraid of stress. And such __21__ are obviously chief material for managerial responsibilities. Others lose heart at first __22__ of unusual difficulties. When exposed to stress, in __23__ form, we react both chemically and physically. In fact we make a choice between __24__ and fight. And in more ancient days the choices made the __25__ between life and death. The crises we meet today are __26__ to be so extreme, but however little the stress, it requires the same response. It iswhen such a reaction __27__ long, through continued exposure to stress, that health becomes __28__. Such serious conditions as high blood pressure and heart diseases have __29__ links with stress. __30__ we cannot remove stress from our lives we need to find ways to deal with it. It would be unwise to do so even if we could.11. A. When B. While C. Once D. As12. A. slow B. calm C. get D. turn13. A. unnecessary B. satisfied C. useful D. necessary14. A. physical B. natural C. hard D. terrible15. A. tolerate B. solve C. avoid D. accept16. A. sure B. certain C. large D. great17. A. purpose B. resource C. influence D. instruction18. A. when B. why C. that D. how19. A. ill B. good C. strong D. weak20. A. insists B. depends C. calls D. spends21. A. patterns B. personalities C. situations D. characters22. A. glance B. view C. sight D. impression23. A. whichever B. whatever C. however D. whenever24. A. peace B. fright C. pressure D. heaviness25. A. decision B. promise C. difference D. choice26. A. unlikely B. likely C. necessary D. probable27. A. continues B. lives C. stands D. lasts28. A. balanced B. injured C. endangered D. changeable29. A. established B. achieved C. found D. developed30. A. Unless B. Since C. Because D. As三、阅读理解AIn the United States, it is important to be on time, or punctual, for an appointment a class, a meeting, etc. However, this may not be true in all countries. An American professor discovered this difference while teaching a class in a Brazilian(巴西的) university. The two-hour class was scheduled to begin at 10 a.m. and end at 12 a.m. On the first day, when the professor arrived on time, no one was in the classroom. Many students came after 10 a.m. Several arrived after 10:30 a.m. Two students came after 11 a.m. Although all the students greeted the professor as they arrived, few apologized for their lateness. Were these students being rude? He decided to study the students' behaviour.The professor talked to American and Brazilian students about lateness in both informal and a formal situation: at a lunch with a friend and in a university calls, respectively. He gave them an example and asked them how they would react. If they had a lunch appointment with a friend, the average American student showed clearly lateness as 19 minutes after agreed time. On the other hand, the average Brazilian student left the friend late after 33 minutes.In an American university, students are expected to arrive at the appointed hour, while, in Brazil, neither the teacher nor the students always arrive at the appointed hour. Classes not only begin at the scheduled time in the United States, but also end at the scheduled time. In the Brazilian class, only a few students left the class at 12:00; many remained past 12:30 to discuss the class and ask more questions. Arrived late may not be very important in Brazilian, neither isstaying late.31. Why did the professor study the Brazilian students' behaviour?A. He felt puzzled at the students' being late.B. He felt angry at the students' rudeness.C. He wanted to make the students come on time later.D. He wanted to collect data for one of his studies.32. It can be inferred from the professor's study of lateness in the informal situation that ________.A. American students will become impatient if their friend is five minutes lateB. neither Brazilian nor American students like being late in social gatheringsC. being late in one culture may not be considered so in another cultureD. Brazilian students will not come thirtythree minutes after the agreed time33. From the last paragraph we know that in Brazil ________.A. it is important to arrive at the appointed timeB. it is rude to keep the professor staying after callsC. it is normal for students to leave during lecturesD. it is acceptable for professors to be late for class34. What is the main idea of this passage?A. It is important to be on time for class in the United States.B. The importance of being on time differs among cultures.C. People learn the importance of time from the culture they are in.D. Students being late for class should explain the reason to their teacher.BBelow is adapted from an English dictionary. Use the dictionary to answer the following questions.figure/ fIgə(r)/ noun, verb●noun1. a number representing a particular amount, especially one given in official information: the trade / sales figures2. a symbol rather than a word representing one of the numbers between 0 and 9: a six-figure salary3. (informal) the area of mathematics that deals with adding, multiplying, etc. numbers4. a person of the type mentioned: Gandhi was both a political and a religious figure in Indian history.5. the shape of a person seen from a distance or not clearly6. a person or an animal as shown in art or a story: a wall with five carved figures in it7. the human shape, considered from the point of view of being attractively thin: doing exercise to improve one's figure8. a pattern or series of movements performed on ice: figure-skating* be/become a figure of fun: be/become sb. that others laugh at* cut a…figure: sb. with a particular appearance: He cut a striking figure in his dinner jacket.* put a figure on sth.: to say the exact price or number of sth.* a fine figure of man/woman: a tall, stronglooking and wellshaped person* figure of speech: a word or phrase used in a different way from its usual meanings in orderto create a particular mental image or effect* figurehead: someone who is the head or chief in name only (with no real power or authority)●verb1. to think or decide that sth. will happen or is true: I figured that if I took the night train, I could be in Scotland by morning.2. to be part of a process, situation, etc. especially an important part: My opinion of the matter didn't seem to figure at all.3. to calculate an amount or the cost of sth.: We figured that attendance at 150,000.* figure in: to include (in a sum): Have you figured in the cost of hotel?* figure on: to plan on; to expect sth. to happen: I haven't figured on his getting home so late.* figure out: to work out; understand by thinking: Have you figured out how much the trip will cost?* It/That figures!:That seems reasonable.35. According to the information above, which of the following sentences is not right?A. This year's sales figures were quite excellent.B. I couldn't figure out what the teacher was talking about.C. She was the leading figure in British politics in the 1980s.D. He was about to speak but she put a figure on his lips to stop him.36. The phrase “watching my figure”in the sentence “Don't tempt me with chocolate; I am watching my figure.” means “________”.A. adding the numbersB. trying not to get fatC. having sportsD. watching games37. —She was coming late again for the work.—________!That's typical of her. You just can't do anything to stop her doing that.A. She is a figure of funB. It cuts a poor figureC. It figuresD. It figures her out38. Which sentence is used as figure of speech?A. I didn't really mean my partner was a snake.B. John is fond of animals and raises a rabbit as a pet.C. In some countries, bamboo can be used to build houses.D. We all regard Mr Smith as an important figure in our company.四、任务型阅读Many people believe that classical music is not relevant to young people today. However, this issue(问题) frequently causes heated debate.Some people say that classical music is associated only with old people. For example, if you look at the audience at a classical concert, the majority is over the age of fifty.Others say it is more popular than we first imagine. Many young people listen to classical music without realizing. It is often used in films and advertisements. For example, a famous piece of classical music was used as the theme music for the 1990 World Cup. Not many people could have given its name, but millions enjoyed it.Also, some people point out that young people produce new music based on classical ideas; for example, it is said that rap(说唱) music was invented by a classical musician in 1912, but it is now used by young people in pop music.However, young people point to the fact that classical music has been outstripped(超越) by technology. To play a classical instrument, such as a violin, you need to study hard and practise for hours. Nowadays, you don't need to get aching arms from practising. A teenager can write and make music using a computer program in the comfort of their own bedroom.A final point to bear in mind is that the term “classical music”is used to refer to a great variety of music, from jazz to pieces for large orchestras(管弦乐队). This makes it even more difficult to say whether classical music is relevant to young people.So, it may be only a minority of young people who play classical instruments, but when it comes to enjoying classical music, it depends on the piece of music. It may be more relevant to young people in the modern world than they realize!Title: Classical Music五、书面表达你校外籍教师Ernesto和Stasi暑假期间准备在本市开一家西餐店,要找若干名高中生免费打工。
江苏省如皋市搬经中学2016-2017学年高一下学期期末模拟英语试题
江苏省如皋市搬经中学2016-2017学年高一下学期期末模拟英语试题一、单项填空1. Although dishonesty seems so common in recent years, people still believe that honesty will not go out of ________.A. styleB. orderC. balanceD. shape2. ________ money has been invested to promote the traffic conditions of this city.A. A plenty ofB. A large amount ofC. A great dealD. A large number of3. —The midterm examination is in a week’s time.— Yes. So we must make full use of our time, and remember every minute ________.A. affectsB. earnsC. deservesD. counts4. In the supermarket foreign names of the products got ________,and I was confused about what to buy.A. picked upB. showed upC. mixed upD. fixed up5. Gone with the Wind is ________ a novel. It also helps us to understand the history of that time.A. less thanB. more thanC. no more thanD. not more than6. Ever since he fell ill, Peter ________ a fever day and night, worried that he’s been infected with the Ebola virus.A. suffered fromB. has suffered fromC. suffers fromD. were suffering from7. With his attention ________ on his book, he didn’t notice someone entering his room.A. concentratingB. concentratedC. to concentrateD. concentrates8. Optimism has a positive effect ________ people’s physical and mental health, ________ which I’m very convinced.A. on; ofB. to; inC. at; atD. on; at9. If Kate goes to the gym this weekend, ________.A. so do IB. so I doC. so will ID. so I will10. — I ________ to go for a walk.— But I ________ going shopping.A. would like; feel likeB. feel like; feel likeC. feel like; would likeD. would like; would like二、完形填空Kindness at a Fast-food RestaurantIt was in summer and I got one of the few jobs a 14-year-old can find—working at Burger King, a fast-food restaurant. It __11__ wasn’t a good job, but it meant money, __12__ was something I needed.One day, I was working behind the front counter, taking __13__. The customers were coming and going, and the woman who __14__ didn’t seem any different from most others.She ordered her meal and I told her the total. As she searched __15__ her purse to find some change, the woman soon __16__ that she was about a dollar short. “I’m __17__ to say this, but I guess I won’t be able to make my purchase __18__,”she said sadly.That’s when I had the idea of paying the difference for her. She refused at first, but after I __19__,she agreed. She thanked me and moved to the end of the counter to __20__ her order. I continued with my work and thought __21__ more of it.About an hour later __22__ had slowed down and I was waiting for my next customer. Then I glanced over towards the __23__ and saw the same woman whom I’d helped with the money entering again. I __24__ recognized her.She walked straight up to me and said, “I want to thank you again for what you did. You see, I’m a diabetic(糖尿病患者), and __25__ I need to eat something right away. That’s __26__ I came in ea rlier. If you hadn’t helped me as you did, I __27__ have fainted. Thank you.”She __28__ me two dollars, twice what I’d given her.__29__ the woman walk away, I realized that God had used me to help her. In the end, I was __30__ not only with money but als o with the satisfaction of knowing that I’d helped someone out of a tight spot.11. A. firstly B. roughly C. certainly D. strictly12. A. which B. what C. that D. it13. A. menus B. orders C. service D. food14. A. reached B. moved C. presented D. approached15. A. out B. for C. about D. across16. A. recognized B. realized C. admitted D. said17. A. guilty B. disappointed C. embarrassed D. regretful18. A. above all B. first of all C. in all D. after all19. A. requested B. insisted C. suggested D. reminded20. A. pick up B. pick out C. carry out D. bring out21. A. none B. anything C. nothing D. something22. A. customers B. orders C. pressure D. business23. A. entrance B. restaurant C. counter D. window24. A. suddenly B. immediately C. surely D. completely25. A. at a time B. in time C. sometime D. sometimes26. A. when B. where C. why D. how27. A. shall B. may C. might D. need28. A. owed B. handed C. paid D. spent29. A. Watching B. Looking C. Observing D. Noticing30. A. awarded B. honored C. returned D. rewarded三、阅读理解AIf you’re thinking about reaching for another biscuit to get you through the working day, think again. Eating unhealthy snacks at your desk makes you pile on almost half a stone a year, a survey has revealed. The waistlines of women suffer the most, with the average female putting on 6lb 3oz—the equivalent of a whole dress size—while men see their weight increase by 5lb 2oz.The report into our eating habits found that, on average, we eat at least two snacks a day, with 30 percent of us tucking into three or more. Women admit eating more than men, with a further 13 percent of ladies scoffing four or more snacks a day. The research, by The Village Bakery, found biscuits are the most common vice, with 42 percent regularly opening a pack, closely followed by chocolate (38 percent), crisps (32 percent) and cakes (13 percent).And office workers are worse than most. Cakes and biscuits brought into work by colleagues are one of the main temptations office staff give in to. In addition, 33 percent admit reaching for nibbles to cope with stress and 22 percent say they need a sugar rush to perk them up in the afternoon.Simon Staddon, of The Village Bakery, said:“We were aware timepoor office workers can find it difficult to easily access a nutritional lunch. But we were really shocked by the extent to which ‘quick fix’ lun ches are affecting weight gain and general well-being. Popular mid-afternoon pick-me-ups such as biscuits, chocolate and cakes are high in calories, fat and full of sugar, all of which affect your blood sugar levels and ultimately lead to weight gain.”The survey of 2,000 British men and women suggests we are often ashamed of our unhealthy eating. 24 percent of Britons admit lying about how many snacks they eat with 33 percent of women lying, compared to 20 percent of men. Unfortunately, it’s as if we are n ot likely to do anything positive to counteract the sweet treats.31. According to the passage, women usually put weight on first ________.A. on the faceB. on the legsC. on the feetD. in the middle32. What’s the main reason of eating snacks in office?A. Colleagues eat them to save money.B. Staff use them to cope with their lunches.C. Colleagues often bring them to office.D. Bosses invite staff to eat them.33. Why do office workers eat a “quick fix” lunch?A. Because it has much of nutrition.B. Because it has little effect on weight gain.C. Because it has little effect on general well-being.D. Because they have short time to have their lunches.34. It can be inferred that British women are________.A. less likely to lie on snacks than menB. more likely to lie on snacks than menC. more ashamed of eating snacks than menD. less ashamed of eating snacks than men35. What does the underlined word “counteract” in Paragraph 5 possibly mean?A. Act against.B. Appeal to.C. Copy out.D. Get in.BAre you having difficulty falling asleep? Try drinking a glass of warm milk. If that doesn’t work, listen to soft, beautiful music. Still no luck? Try thinking about sheep jumping over a fence. If you are still awake, take a sleeping pill. But people who take pills often become dependent on the drugs. So you lie awake knowing that the new workday will soon arrive. If you have been in such condition for at least one month, you may have primary insomnia(失眠症).A new study has found that you might fall asleep more quickly and stay asleep longer if you try “cerebral hypothermia”. It is not a complex medical process. It just means cooling down your brain. Eric Nofzinger and Daniel Buysse from the University of Pittsburgh Medical School led the study. They examined twelve people who had sleeping problems. Twelve others had no sleep problems. Each of them wore a soft plastic cap on their head at bedtime.The caps had tubes inside filled with water. The researchers moved the water through the tubes and then changed the temperature of the water. Other studies showed that people who had sleeping problems often had more chemical reactions in the front of their brain. The researchers thought cooling down the brain might help.On the first two nights of testing, the patients wore caps with no water. On the next two nights, the caps were worn, but the water was not cooled. Then the researchers cooled the water a little for another two nights. On the final two nights of the study, the temperature of the water was made much cooler.The researchers found that the water caps didn’t help the patients until the temperature was about 14℃. Most of the patients fell asleep faster and slept better when the coolest water was moving around their heads.Dr Nofzinger and Dr Buysse noted that this was only the beginning of the brain temperature study. But they believed they had discovered something important that needed more research.36. The first paragraph is written to ________.A. explain how serious insomnia isB. bring forward the topic of the passageC. tell us the causes of sleeping problemsD. tell us the danger of having sleeping problems37. From the passage we know that “cerebral hypothermia” is actually ________.A. a complex medical processB. a psychological treatmentC. a simple physical treatmentD. a difficult scientific theory38. In the study, researchers helped people fall asleep faster through ________.A. increasing chemical reactions in the front of their brainB. making them feel safe with a cap on their headC. asking them to drink water to cool downD. lowering the temperature of their brain39. Dr Nofzinger and Dr Buysse seemed to believe that ________.A. their research wouldn’t help people greatlyB. more studies would be needed for their researchC. cooling down people’s brain might be harmfulD. the results of their study would be made use of soon四、任务型阅读Blood donation, also called blood banking, is a wonderful thing to do. It is an easy and direct way to contribute to social work and help the community. It helps to save lives and helps those who are in need of blood due to bad condition or the heavy loss of blood during operations or in accidents.You are able to give or donate blood every three or four months, and it is a great way to make a huge difference to someone’s life and you can always be proud of it after making valuable contributions to society. Blood donation is not a big problem, but you need to keep a few points in mind.Before donating blood, make sure that the ferrum(铁) level in your body is high enough and for that you should take a healthy diet. Do not go for blood donation on an empty stomach. You should follow the correct process so that everything goes well. After having a balanced diet you will feel strong and comfortable to donate blood. Afterwards, you will not feel faint or weak.For required hemoglobin(血红蛋白) in your body, drink lots of juice and other drinks. Fruit juice, such as apple juice is very good for increasing the blood level in your body.For a good blood flow in your body, drink at least 6—7 glasses of water every day.Completely avoid a day before and after giving blood, taking alcohol(酒). Do not smoke half an hour before giving blood.When you are going for blood donation, be relaxed, which helps keep the right blood pressure. During the blood donation activity, take a deep breath and try to calm yourself. Don’t join in some other activities.When you donate blood, you are making the effort to save someone’s life. Blood donation is a very simple and fast process, but you need to take care of yourself after donating blood. Proper care helps to reduce side effects. The following are a few tips that will help you out.Take a rest for 15 minutes after the donation. It helps you to feel relaxed.Eat something and drink juice before leaving the blood donation centre. Make sure that you have meals after donating blood. Smoking should be avoided for one hour after the process. Avoid some activities right away, for example, driving.Finally, be proud of yourself because you have done a great thing in helping to save someone’s life. Blood donation is a very important activity.Title: Blood Donation—an Important ActivityThe (40) _______ of blooddonation ●(41) ________ to social work and the community● Helping those people who suffer the loss of (42) ________● Giving yourself asense of pride(43) ______ the donation ● Take a healthy (44) ________ for a high ferrum level● Drink fruit juice for enough hemoglobin● Drink a t least 6—7 glasses of water daily for a good (45) ______ of blood● (46) ________ takingalcohol and smoking cigarettesDuring the donation● Relax and breathe deeply● Never take (47) ________ in otheractivitiesAfter the donation● Take a rest● Don’t skip (48) ________● Don’t smoke until onehour later● Don’t join in some activities like driving (49) ________五、书面表达读者王彬写信给某杂志“开心”栏目记者Mary,询问怎么才会感到幸福,请根据提示给他写一封回信,主题为How to Be Happy。
江苏省如皋市搬经中学2016—2017学年高一化学下学期期末模拟测试三化学试题
一、选择题(每题只有一个答案)1. 俄罗斯科学家在利用回旋加速器进行的实验中,用含20个质子的钙元素的同位素反复轰击含95个质子的镅元素,结果4次成功制成4个第115号元素的原子。
这4个原子在生X。
下列有关叙述正确的是()成数微秒后衰变成第113号元素,前者的一种核素为288115A. 115号元素衰变成113号元素是化学变化B. 核素288115X的质量数与中子数之差为173C. 113号元素属于非金属元素D. 115号元素的最高正化合价是+52. 元素符号、反应方程式、结构示意图、电子式、结构式等通常叫做化学用语。
下列有关化学用语的表示方法中错误的是()A. 次氯酸的电子式:B. Cl-的结构示意图:C. O18的原子符号:188OD. CS2分子的结构式:3. 下列说法正确的是()A. 金属氧化物一定是碱性氧化物B. 胶体和其他分散系的本质区别是分散质粒子大小不同C. 混合物肯定由两种以上元素组成D. 酸性氧化物一定是非金属氧化物4. 下列能量转化过程中,由光能转变为化学能的是()5. 下列各组中两种微粒所含电子数不相等的是()A. H3O+和OH-B. CO和N2C. NH3和F-D. CH4和NO6. 下列有关物质的性质与应用不相对应的是()A. 镁铝合金的熔点很高,可用于制耐火坩埚B. 小苏打受热分解生成气体,可用作发酵粉C. 铁的活泼性较强,铁粉可用作食品袋内的脱氧剂D. Na、Cu等金属化合物焰色反应呈现各种艳丽色彩,可制成节日烟花7. 下列图示与对应的叙述正确的是()A. 图①所示柱形图,纵坐标表示第2周期元素最高正价随原子序数的变化B. 图②所示曲线,表示该反应是吸热反应C. 图③所示曲线的阴影部分面积,表示正反应速率改变值D. 图④所示曲线,甲、乙分别表示有、无催化剂时发生的反应8. 下列有机反应属于氧化反应的是()9. 下列说法不正确的是()A. 不能自发进行的氧化还原反应,也可以通过电解来实现B. 电解质溶液导电是化学变化,金属导电是物理变化C. 电解池和原电池中均发生氧化还原反应D. 电解、电离、原电池均需要通电10. 下列图示与对应的叙述不相符的是()A. 图①表示四种基本反应类型与氧化还原反应的关系B. 图②表示四种物质均能与新制氯水反应,其中b能证明新制氯水具有酸性C. 图③表示AlCl3溶液中滴加NaOH溶液生成沉淀的情况D. 图④表示Ba(OH)2溶液中滴加硫酸溶液时导电性的情况11. 将固体NH4I置于密闭容器中,在某温度下发生反应:NH4I(s)NH3(g)+HI(g);2HI(g)H2(g)+I2(g)。
江苏省如皋市搬经中学2016-2017学年高一英语综合训练
综合训练二(Module 1~Module 4)一、单项填空1. —Jack speaks ________English like a native. I always admire him.—Now he is learning ________more difficult language—Arabic.A. an; aB. /; theC. /; aD. the; a2. She cared for children so much that she devoted most of her time to children ________work after graduation from a university.A. careerB. businessC. welfareD. profit3. Hawaii is ________a beautiful place of interest. It is also famous for its rich cultural relics.A. more thanB. less thanC. other thanD. rather than4. Don't defend him any more. It's obvious that he ________ destroyed the fence of the garden even without an apology.A. accidentallyB. carelesslyC. deliberatelyD. clumsily5. In the supermarket foreign names of the products got ________,and I was confused about what to buy.A. mixed upB. fixed upC. picked upD. showed up6. ________to our surprise, he went over all his notes in such a short time, ________for the next day's examination.A. Very; preparingB. Much; preparedC. Greatly; to be preparedD. Rather; being prepared二、完形填空In my childhood, I envied my classmates very much as my absence from school was not allowed due to my strict parents. I had to be __7__ in order to stay home. My parents __8__ to say that they were leading me to have a __9__ work ethic(职业道德). Not until last week did I see the __10__.I was on a bus, and behind was a man who was __11__ to his friend about his life. His dream was to become a director but he wouldn't continue to __12__ it because he had no __13__ if he could make enough money. And he didn't want to waste __14__ because it probably would take months or years to __15__ it big. Then he admitted to thinking about becoming a(n) __16__ because he thought he could __17__ make six figures within one year. His friend agreed because as he put it, “I have no __18__ to work long hours and not make much money. Taking pictures is good because you can make big money and only work s hort hours.”Many people these days don't__19__ that when things seem to happen immediately, it is only because a lot of __20__ , determination and time have gone into it. Someone once told me that you may know __21__ someone is an expert in his given field by how easy he makes it look. The __22__ it looks, the more hours go into it.There is no__23__ for laziness. In the television show Fame, the dance teacher told her students, “If you want fame, fame __24__ and here's how you start paying for it, in sweat.”Every time I watch that show, my dad would repeat how __25__ she was because in order to __26__ you have to work hard. He would go on and on about how bad it is to be lazy.7. A. shaking B. smiling C. shouting D. lying8. A. needed B. used C. agreed D. ought9. A. different B. reliable C. standard D. good10. A. evidence B. significance C. answer D. result11. A. writing B. explaining C. reflecting D. complaining12. A. support B. make C. follow D. change13. A. idea B. doubt C. evidence D. sign14. A. luck B. money C. time D. opportunity15. A. take B. promote C. make D. create16. A. dancer B. lawyer C. actor D. photographer17. A. gently B. eagerly C. easily D. carefully18. A. choice B. time C. desire D. chance19. A. understand B. guarantee C. recognize D. realize20. A. decision B. effort C. pressure D. intelligence21. A. that B. why C. whether D. when22. A. easier B. lighter C. better D. harder23. A. explanation B. statement C. excuse D. possibility24. A. matters B. arises C. works D. costs25. A. natural B. beautiful C. right D. kind26. A. succeed B. develop C. finish D. rest三、阅读理解AI recently ran into an old friend who I hadn't seen for two years. She looked tired and was talking in a loud voice. She is a headhunter, and had just finished interviewing a candidate but failed to impress him.Then she started to complain about her health problems. One year ago, she began to notice a ringing in her ears. She went to the hospital and was told that her problem might have resulted from stress. The doctor gave her pills for her nerves.At night, she has to listen to loud music to quiet the noise in her head and fall asleep. Her life has become a twopoint routine of work and home. Even while she was vacationing in Thailand, she found herself searching for the right candidate.She suffers from the same workaholic depression as another friend who works for an advertising company. This friend has to work overtime almost every day. If she's lucky, she can leave at 9 p.m.; otherwise it's midnight. For her, working on weekends has become normal. Each time I see her, she seems down.My two friends share something in common: They don't want to escape their misery, believing that if you don't work hard when you are young, you will regret it. That may be true, but there are limits. If every day you wake up feeling down, then it may be time to move on.As important as finding a job that you really like, is finding a company with a healthy atmosphere. The right company should lift your spirits and have a team working toward a common goal. As for the employees, they should work hard and play hard. If you can enjoy life, you will have more passion to bring to your work.27. Why did the author's old friend suffer from health problems?A. Because of stress from work.B. Because she ate too much.C. Because of the loud noise in her workplace.D. Because she failed to impress a candidate.28. One thing that the author's two friends share is that ________.A. they both love their workB. they both work extremely hardC. they both work for an advertising companyD. they both take an active part in social activities29. What does the author think important in finding a job?A. Chances to achieve one's goal.B. Chances to learn new things.C. A pleasant working atmosphere.D. A good boss and a large salary.BIf you feel sleepy every morning, don't blame yourself. Your work schedule could be to blame.A recent research shows that, for many of us, our work schedules do not agree with our natural body clocks—and experts are urging employers to take notice.“When work schedules agree with people's natural sleep patterns, they produce higher quality and more creative work because they are more focused, less stressed and generally healthier. The opposite is also true—when employees are sleep deprived, they are more likely to make major mistakes and suffer from workplace injuries,”said Christopher Barnes, a management professor from the University of Washington.“But it's not just about the amount of sleep you get. Whether you can be productive at 8 a.m. depends on your own body. Human beings each have an internal body clock,”said Till Roenneberg, a professor at LudwigMaximilian University in Munich. And that clock can differ greatly depending on the person.“It's like feet,”said Roenneberg. “Some people are born with big feet and some with small feet, but most people are somewhere in the middl e.”Many companies start the work day at 8 a.m. or 9 a.m., putting their work schedules in disagreement with their employees' body clock. That mismatch, along with the pressure from work at all hours of the day and night, means that many people suffer from “social jetlag”. In other words, their bodies are always in the wrong time zone. He estimates that more than 70% of people get up earlier than they should.“There is an old saying that sleep is for the weak,”said Roenneberg. “But I do feel like it doesn't help to have shortened sleep.”30. According to the author, many people feel sleepy in the morning because________.A. they start to work too earlyB. they are not in good healthC. they have no interest in their workD. they stay up too late the night before31. What does Christopher Barnes mainly tell us?A. The influences of lack of sleep.B. The possible causes of poor sleep.C. The useful ways to improve our sleep.D. The connection between sleep and work performance.32. By mentioning people's feet, Roenneberg intends to tell us ________.A. people are born with feet of different sizesB. people's body clocks differ from person to personC. it is the most important to wear shoes of the right sizeD. it is most important to obey our natural body clocks33. Which of the following does the author agree to?A. Sleep is for the weak.B. The early bird catches the worm.C. Plenty of sleep contributes to good work.D. The more you sleep, the less work you can do.四、任务型阅读Anything that poses a challenge or a threat to our wellbeing is a stress. Some stresses get you going and they are good for you—without any stress at all many say our lives would be boring and would probably feel pointless. However, when the stresses undermine both our mental and physical health they are bad. Here we shall be focusing on stress that is bad for you.Stress is the feeling we have when under pressure, while stressors are the things we respond to in our environment.Examples of stressors are noises, unpleasant people, a speeding car, or even going out on a first date. Generally (but not always), the more stressors we experience, the more stressed we feel.When we are stressed the following happens:Blood pressure rises.Breathing becomes more rapid.Heart rate (pulse) rises.Muscles become tense.We do not sleep (heightened state of alertness).Most of us have varying interpretations of what stress is about and what matters. Some of us focus on what happens to us, such as breaking a bone or getting a promotion, while others think more about the event itself. How you see that stressful event will be the largest single factor that impacts on your physical and mental health. Your interpretation of events and challenges in life may decide whether they are invigorating or harmful for you.There are three broad methods you can follow to treat stress.Self help for treating stressExercise has been proven to have a beneficial effect on a person's mental and physical state. For many people exercise is an extremely useful stress buster.Alcohol and drugs will not help you manage your stress better. Either stop consuming them completely, or cut down.If your consumption of coffee and other drinks which contain caffeine is high, cut down.Eat plenty of fruit and vegetables. Make sure you have a healthy and balanced diet.Talk to you family, friends, work colleagues and your boss. Express your thoughts and worries.Stress management techniquesStress management can help you to keep away from the source of stress, change the way you view a stressful event, and lower the impact that stress might have on your body. Stress management therapy will have the objective of pursuing one or more of these approaches.MedicinesDoctors will not usually prescribe medications for coping with stress, unless the patient has an underlying illness, such as depression or some type of anxiety. If that is the case, the doctor is actually treating a mental illness. In such cases, an antidepressant may be prescribed. Bear in mind that there is a risk that all the medication will do is mask the stress, rather than help you deal andcope with it.五、 书面表达随着神州十一号成功发射,宇航员景海鹏也为世人瞩目,他是中国第一位3次升入太空的宇航员,以下是他接受记者采访的话语节选和简历。
江苏省如皋市搬经中学2016—2017学年高一年级下学期期末模拟测试一物理试题
一、 单项选择题1. 物理学史上,正确认识运动和力的关系且推翻“力是维持运动的原因”的物理学家、建立惯性定律的物理学家分别是 ( )A. 亚里士多德 伽利略B. 亚里士多德 牛顿C. 伽利略 牛顿D. 伽利略 爱因斯坦2. 一个小石子从离地某一高度处由静止自由落下.某摄影爱好者恰好拍到了它下落的一段轨迹AB(照片中轨迹长度与实际长度相等).该爱好者用直尺量出轨迹的长度,如图所示.已知拍摄时用的曝光时间为11 000s ,则小石子出发点距离A 点约为( ) A. 20 m B. 10 m C. 6.5 cm D. 45 m3. 如图所示,A 、B 为同一水平线上的两个相同的绕绳轮子,现按箭头方向以相同的速度缓慢转动A 、B ,使重物C 缓慢上升.在此过程中绳上的拉力大小 ( )A. 保持不变B. 逐渐减小C. 逐渐增大D. 先减小后增大4. 两个相同的金属小球,所带异种电荷大小之比为1∶7,相距为r ,两者相互接触后再放回原来的位置上,则它们之间的库仑力为原来的( )A. 47B. 37C. 167D. 975. 如图所示,一物体沿固定斜面匀速下滑.关于物体所受的力,下列说法正确的是( )A. 物体所受合力的方向沿斜面向下B. 物体所受重力和支持力的合力的方向沿斜面向下C. 物体所受的重力和支持力大小相等D. 物体匀速下滑的速度越大,表明它所受的摩擦力越小6. 如图所示,将小球从空中的A 点以速度v 水平向右抛出,不计空气阻力,小球刚好擦过竖直挡板落在地面上的B 点.若使小球的落地点位于挡板和B 点之间,下列方法可行的是( )A. 在A点将小球以小于v的速度水平抛出B. 在A点将小球以大于v的速度水平抛出C. 在A点正下方某位置将小球以小于v的速度水平抛出D. 在A点正上方某位置将小球以小于v的速度水平抛出7. 一小船过河时,船头与上游河岸夹角为α,其航线恰好垂直于河岸.已知船在静水中的速度为v,现水流速度稍有增大,为保持航线不变,且能准时到达河对岸,下列措施中可行的是()A. 减小α角,减小船速vB. 减小α角,增大船速vC. 增大α角,增大船速vD. 增大α角,减小船速v8. 2014年12月6日,张家口崇礼国际滑雪节开幕.北京成功申办2022年冬奥会,这座城市将承办部分滑雪项目的赛事.雪面松紧程度的不同造成运动员下滑过程中与雪面的动摩擦因数也不同.假设滑雪运动员从半圆形场地的坡顶下滑到坡的最低点过程中速率不变,则运动员下滑过程中()A. 加速度不变B. 受四个力作用C. 所受的合外力越来越大D. 与雪面的动摩擦因数变小9. 如图所示,老鹰沿虚线MN 斜向下减速俯冲的过程中,空气对老鹰的作用力可能是图中的()A. F1B. F2C. F3D. F410. 将小球以某一初速度抛出,其运动轨迹如图所示.不计空气阻力,下列说法正确的是()A. 小球在水平方向做匀减速直线运动B. 小球做匀变速运动C. 小球运动到最高点时速度大小为零D. 小球在最高点时重力的瞬时功率不为零11. 如图所示为一皮带传动装置,右轮半径为r,a为它边缘上一点;左侧是一轮轴,大轮半径为4r,小轮半径为2r,b点在小轮上,到小轮中心的距离为r,c点和d点分别位于小轮和大轮的边缘上.若传动过程中皮带不打滑,则()A. a 点和b 点的线速度大小相等B. a 点和b 点的角速度大小相等C. a 点和c 点的周期大小相等D. a 点和d 点的向心加速度大小相等12. 在升降电梯内的地面上放一体重计,电梯静止时,晓敏同学站在体重计上,体重计示数为50 kg.电梯运动过程中,某一段时间内晓敏同学发现体重计示数如图所示,在这段时间内下列说法中正确的是( )A. 晓敏同学所受的重力变小了B. 晓敏对体重计的压力小于体重计对晓敏的支持力C. 电梯一定在竖直向下运动D. 电梯的加速度大小为g 5,方向一定竖直向下13. 在平直的飞机跑道上进行了一次特殊比赛,飞机与摩托车同时从同一起跑线出发,图示为飞机和摩托车运动的vt 图象.则下列说法正确的是( )A. 运动初始阶段摩托车在前,t 1时刻摩托车与飞机相距最远B. 运动初始阶段摩托车在前,t 3时刻摩托车与飞机相距最远C. 当飞机与摩托车再次相遇时,飞机已经达到最大速度2v 0D. 当飞机与摩托车再次相遇时,飞机没有达到最大速度2v 014. 如图所示,半径为R 的半圆形轨道竖直固定在水平桌面上,圆心O 与轨道上边沿和滑轮上边沿在同一水平线上,轨道最低点a 与桌面相切.Oc 与Oa 的夹角为60°,A 、B 两球用跨过滑轮的轻绳连接(两球均可视为质点).A 球从c 点由静止释放后沿圆轨道滑到a 点时速度恰好为零.设轻绳足够长,不计一切摩擦,在此过程中下列说法正确的是 ( )A. 重力对A 球做功的功率先变大后变小B. 两球速度大小始终相等C. 绳上的拉力始终大于B 球重力D. A 、B 两小球的质量之比为3∶115. 据天文学观测,某行星在距离其表面高度等于该行星半径3倍处有一颗同步卫星.已知该行星的平均密度与地球的平均密度相等,地球表面附近绕地球做匀速圆周运动的卫星周期为T ,则该行星的自转周期为 ( )A. 3TB. 4TC. 8TD. 33T16. 如图所示,A 是静止在赤道上随地球自转的物体,B 、C 是同在赤道平面内的两颗人造卫星,B 位于离地高度等于地球半径的圆形轨道上,C 是地球同步卫星.则下列关系正确的是 ( )A. 物体A 随地球自转的角速度大于卫星B 的角速度B. 卫星B 的线速度小于卫星C 的线速度C. 物体A 随地球自转的向心加速度小于卫星C 的向心加速度D. 物体A 随地球自转的周期大于卫星C 的周期17. 如图所示,一高度为h 的三角形斜面固定在水平地面上,有两个质量均为m 可视为质点的小物块分别由静止开始从倾角为α、β的两个光滑斜面的顶端下滑,α>β,下列说法正确的是( )A. 小物块滑到斜面底端的速度相同B. 小物块滑到斜面底端所用的时间相同C. 小物块滑到斜面底端时重力的瞬时功率相同D. 小物块滑到斜面底端时具有的机械能相同18. 图中画了四个电场的电场线,其中A 和C 图中小圆圈表示一个点电荷.A 图中虚线是一个圆,B 图中几条直线间距相等且互相平行,则M 、N 处电场强度相同的是( )19. 下列说法正确的是 ( )A. 由公式E =F q可知,电场中某点的电场强度E 与试探电荷在电场中该点所受的电场力F 成正比,与q 成反比B. 由公式E =kQ r 2可知,在离点电荷Q 距离为r 的地方,电场强度E 的大小与Q 成正比C. 由公式U =Ed 可知,在匀强电场中,E 为恒量,任意两点间的电势差与这两点间的距离成正比D. 由公式C =Q U可知,电容器的电容C 随着极板带电荷量Q 的增加而变大20. 如图所示,长为3L 的轻杆可绕水平转轴O 转动,在杆两端分别固定质量均为m 的球A 、B(可视为质点),球A 距轴O 的距离为L.现给系统一定动能,使杆和球在竖直平面内转动.当球B 运动到最高点时,水平转轴O 对杆的作用力恰好为零,忽略空气阻力.已知重力加速度为g ,则球B 在最高点时,下列说法正确的是 ( )A. 球B 的速度为0B. 杆对球B 的弹力为mgC. 球B 的速度为2gLD. 球A 的速度为2gL二、 填空题21. 为了探究加速度与力、质量的关系.(1) 小亮利用如图甲所示的实验方案,探究小车质量一定时加速度与合外力之间的关系,图中上下两层水平轨道,细线跨过滑轮并挂上砝码盘,将砝码和砝码盘的总重作为小车所受合外力,两小车尾部细线连到控制装置上,实验时通过控制装置使两小车同时开始运动,并同时停止.① 实验前,下列操作必要的是________.A. 选用质量不同的两辆小车B. 调节定滑轮的高度,使细线与轨道平行C. 使砝码和砝码盘的总质量远小于小车的质量D. 将轨道右端适当垫高,使小车在没有细线牵引时能在轨道上匀速运动,以平衡摩擦力② 他测量了两小车的位移为x 1、x 2,则a 1a 2=________. (2) 小明用如图乙所示的装置进行实验.① 打出的一条纸带如图丙所示,计时器打点的时间间隔为0.02 s .他从比较清晰的A 点起,每五个点取一个计数点,测量出各点到A 点的距离标在纸带上各点的下方,则小车运动的加速度为________m/s 2.② 实验前由于疏忽,小明遗漏了平衡摩擦力这一步骤,他测量得到的aF 图象可能是丁图中的图线__________(选填“1”“2”或“3”).③ 调整正确后,他作出的aF 图象末端明显偏离直线.如果已知小车质量为M ,某次所挂钩码质量为m ,则戊图中坐标a 1=________,a 2=________.三、计算题22. 具有我国自主知识产权的“歼-10”飞机的横空出世,证实了我国航空事业在飞速发展.而航空事业的发展又离不开风洞试验,其简化模型如图a所示,在光滑的水平轨道上停放相距s0=10 m的甲、乙两车,其中乙车是风力驱动车.在弹射装置使甲车获得v0=40 m/s 的瞬时速度向乙车运动的同时,乙车的风洞开始工作,将风吹向固定在甲车上的挡风板,从而使乙车获得了速度,测绘装置得到了甲、乙两车的v-t图象如图b所示,设两车始终未相撞.(1) 若甲车的质量与其加速度的乘积等于乙车的质量与其加速度的乘积,求甲、乙两车的质量比.(2) 求两车相距最近时的距离.质量为M的拖拉机拉着耙来耙地,由静止开始做匀加速直线运动,在时间t内前进的距离为s.耙地时,拖拉机受到的牵引力恒为F,受到地面的阻力为自重的k倍,耙所受阻力恒定,连接杆质量不计且与水平面的夹角θ保持不变.求:(1) 拖拉机的加速度大小.(2) 拖拉机对连接杆的拉力大小.(3) 时间t内拖拉机对耙做的功.如图所示,质量M=2 kg的小车在光滑水平面上处于静止状态.小车的上表面由水平面和斜面构成,斜面顶端和底端的高度差为1.8 m.小车左边缘的正上方用长l=2.5 m的细绳拴一质量m=0.5 kg的物块,将细绳拉离竖直方向60°角后由静止释放,当物块运动到悬点的正下方时悬线断开,物块恰好从小车的左边缘滑上小车,先在其表面上沿水平方向运动,经过1 s时间物块离开小车,然后做曲线运动,某时刻恰好与斜面的底端相碰.已知小车与物块间的动摩擦因数μ=0.2,不计空气阻力,重力加速度g取10 m/s2.求:(1) 悬线断开前所受最大拉力的大小.(2) 小车上表面水平部分的长度.(3) 小车表面的斜面部分倾角的正切值.如图所示为某中学物理课外兴趣小组在某次四驱车比赛时轨道的一小段.小虎同学控制的四驱车(可视为质点)质量m=1.0 kg,额定功率为P=9 W,四驱车到达水平平台上A点时速度很小(可视为0),此时启动四驱车的发动机并以额定功率运动,当四驱车到达平台边缘B点时恰好达到最大速度,并从B点水平飞出,恰能从C点沿切线方向飞入粗糙的竖直圆形轨道内侧,到达C点时的速度大小为5 m/s,且α=53°,四驱车沿CDE运动到最高点F 时轨道对它的压力恰为零.已知AB间的距离L=6 m,圆弧轨道半径R=0.4 m,重力加速度g取10 m/s2,不计空气阻力,sin 53°=0.8,cos 53°=0.6.求:(1) 四驱车运动到B点时的速度大小.(2) 发动机在水平平台上工作的时间.(3) 四驱车在圆轨道上从C点运动到F点的过程中克服阻力做的功.1. C解析:在物理学史上,正确认识运动与力的关系并且推翻“力是维持运动的原因”的物理学家和建立惯性定律的物理学家分别是伽利略和牛顿,选项C正确.2. A解析:由图可知AB的长度为2 cm,即0.02 m,曝光时间为11 000s,所以AB段的平均速度的大小为v=xt=20 m/s,由于时间极短,故A点对应时刻的瞬时速度近似为20m/s,由自由落体的速度—位移的关系式v2=2gh,可得h=v22g=20 m,选项A正确.3. C解析:物体受三个力:重力和两个拉力,重物C缓慢竖直上升时三力平衡,合力为零,则知两个拉力的合力与重力大小相等,所以重物C所受的合外力不变,两个拉力合力一定,而两个拉力的夹角不断增大,故拉力不断增大,选项C正确.4. D解析:设两小球带电荷量分别为Q和7Q,当两相同金属小球带异种电荷时,两者相互接触后再放回原来的位置上,它们的电荷量变为3Q和3Q,由库仑定律可得F=k Q1Q2r2,故库仑力是原来的97,选项D正确.5. B解析:物体受到重力、支持力及摩擦力而做匀速直线运动,由共点力的平衡条件可知物体所受合力为零,选项A错误;物体受到的摩擦力沿斜面向上,因物体受三个力而处于平衡,故重力与支持力的合力的方向一定与摩擦力方向相反,故二力的合力一定沿斜面向下,选项B正确;在垂直于斜面方向上,物体受到的合力应为零,故支持力应等于重力垂直于斜面的分力,即支持力小于重力,选项C错误;滑动摩擦力f=μF N,故摩擦力与下滑速度无关,只与正压力及动摩擦因数有关,选项D错误.6. D解析:在A点将小球以小于v的速度水平抛出,则小球将被挡板挡住,不能落到挡板和B点之间,选项A错误;在A点将小球以大于v的速度水平抛出,则小球将越过挡板落到B点的右侧,选项B错误;在A点正下方某位置将小球以小于v的速度水平抛出,则小球将被挡板挡住,不能落到挡板和B点之间,选项C错误;在A点正上方某位置将小球以小于v的速度水平抛出,则小球能到达挡板上端,速度方向与竖直方向的夹角满足tanθ=v2gh,因v变小,h变大,故θ减小,则小球的落地点位于挡板和B点之间,选项D正确.7. B解析:由题意可知,船相对水的速度为v,其航线恰好垂直于河岸,当水流速度稍有增大,为保持航线不变,且准时到达对岸,如图所示,有v1=vcos α,可知要减小α角,增大船速v,选项B正确.8. D解析:滑雪运动员的速率不变,运动员下滑过程中的加速度是向心加速度,其大小不变,方向始终指向圆心,选项A错误;运动员受三个力作用做匀速圆周运动,运动员所受合外力大小不变,选项B、C错误;运动员下滑过程中,对山坡的压力逐渐增大,滑动摩擦力逐渐增大,与雪面的动摩擦因数变小,选项D正确.9. B解析:老鹰沿虚线斜向下减速飞行,加速度沿虚线向上,故合力F沿虚线向上;老鹰受重力和空气对其作用力,根据三角形定则可知选项B正确.10. B解析:小球在水平方向不受力,所以做匀速直线运动,选项A错误;小球运动过程中只受重力,根据牛顿第二定律可知小球的加速度不变,小球做匀变速运动,选项B 正确;最高点是小球运动的最高点,小球在最高点速度沿水平方向,不为零,选项C 错误;小球在最高点速度沿水平方向,而重力是竖直方向,瞬时功率P =mgvcos θ=0,选项D 错误.11. D 解析:a 点与c 点是同缘传动,线速度相等,因转动半径不等,由T =2πr v知,选项C 错误;根据v =rω,a 、c 两点转动角速度不同,又由于b 、c 两点的角速度相同,故a 点和b 点的角速度不等,选项B 错误;a 点和b 点转动半径相等,转动角速度不等,故线速度不等,选项A 错误;c 点和d 点是共轴转动,角速度相同,根据a =rω2得,d 点的向心加速度是c 点的2倍,根据a =v 2r知,a 的向心加速度是c 的2倍,所以a 、d 两点的向心加速度大小相等,选项D 正确.12. D 解析:在这段时间内处于失重状态,是由于她对体重计的压力变小了,而她的重力没有改变,选项A 错误;晓敏对体重计的压力与体重计对晓敏的支持力是作用力与反作用力的关系,大小相等,选项B 错误;人处于失重状态,加速度向下,运动方向可能向上减速,也可能向下加速,选项C 错误;以竖直向下为正方向,有mg -F =ma ,解得a =g 5,方向竖直向下,选项D 正确.13. D 解析: 0~t 2时间内摩托车的速度比飞机大,摩托车在前,两者间距增大,t 2时刻后飞机的速度比摩托车大,两者间距减小,所以在t 2时刻,距离最大,选项A 、B 错误;根据图线与时间轴围成的面积表示位移知,t 3时刻飞机的位移比摩托车大,所以在t 3时刻前两者相遇,飞机速度没有达到最大速度2v 0,选项C 错误,D 正确.14. A 解析:重力做功的功率就是P =mgv ,这里的v 是指竖直的分速度,A 由静止释放,所以A 一开始的竖直速度也必然为零,最后运动到a 点的时候,由于此时的切线是水平的,所以此时的竖直速度也是零,但是在这个过程当中是有竖直分速度的,竖直速度是从无到有再到无的变化过程,也就是一个先变大后变小的过程,所以重力做功的功率也是先增大后减小的过程,选项A 正确;A 球由c 点下滑到a 点的过程中,沿绳子方向的速度是一样的,在A 滑下去一段过程后,此时的绳子与圆的切线不重合,而是类似于圆的一根弦线而存在,所以此时两个物体的速度不相同,选项B 、C 错误;若A 球恰好能沿圆弧轨道下滑到a 点,此时两小球速度均为零,根据动能定理得m 1gR(1-cos 60°)=m 2gR ,解得m 1=2m 2,选项D 错误.15. C 解析:设地球半径为R ,密度为ρ,则地球对卫星的万有引力提供卫星圆周运动的向心力,有G m·43πR 3ρR 2=m 4π2T 2R ,可得G =3πρT 2,设某行星的半径为r ,则其同步卫星的半径为4r ,周期为T′,据万有引力提供圆周运动向心力,有G Mm (4r )2=m 4π2T ′2·4r ,即3πρT 2·ρ43πr 316r 2=4r 4π2T ′2,解得T′=8T ,选项C 正确. 16. C 解析:C 为同步卫星,即角速度和地球自转角速度相同,离地高到大于地球半径,根据公式G Mm r 2=mω2r 可得ω=GM r 3,即ωC <ωB ,选项A 错误;根据公式G Mm r2=m v 2r 可得v =GM r,即运动半径越大,卫星的线速度越小,故v C <v B ,选项B 错误;根据公式a =ω2r ,可得物体A 随地球自转的向心加速度小于卫星C 的向心加速度,选项C 正确;C 是同步卫星,和地球自转周期相同,选项D 错误.17. D 解析:光滑斜面,只有重力做功,根据动能定理mgh =12mv 2,即速度v =2gh ,小物块滑到斜面底端的速度大小相同,但是速度方向不同,选项A 错误;滑到斜面底端的重力的瞬时功率为P =mgvcos θ,由于速度方向与重力方向的夹角θ不同,所以滑到斜面底端的重力的瞬时功率不同,选项C 错误;小物块滑到斜面底端为匀加速直线运动,加速度a =gsin α,位移x =h sin α=12at 2,可得运动时间t =2h gsin 2α,两个小球对应的斜面倾角不同,运动时间不同,选项B 错误;两个小球在斜面顶端动能相等都等于0,重力势能相等,滑动过程机械能守恒,所以滑到底端机械能依然相同,选项D 正确.18. B 解析:图A 是正点电荷周围电场线的分布图,M 、N 两点的场强大小相同,方向不同;图B 是匀强电场,M 、N 两点场强大小相同,方向相同;图C 是负点电荷周围电场线的分布图,M 、N 两点的场强大小不同,由点电荷的场强公式可知,M 点的场强大于N 点的场强,方向相同;图D 中由电场线的疏密程度知N 点的场强大于M 点的场强.选项B 正确.19. B 解析:公式E =F q采用比值定义法,E 反映电场本身的强弱和方向,与试探电荷在电场中该点所受的电场力F 和电荷量q 无关,选项A 错误;由公式E =kQ r2可知,Q 是场源电荷,电场强度E 的大小与Q 成正比,与r 的平方成反比,选项B 正确;公式U =Ed 中d 是两点沿电场方向的距离,所以在匀强电场中,任意两点间的电势差与这两点间沿电场方向的距离成正比,而不是与任意距离成正比,选项C 错误;公式C =Q U采用比值定义法,C 反映电容器容纳电荷的本领,与Q 、U 无关,选项D 错误.20. C 解析:球B 运动到最高点时,球B 对杆恰好无作用力,即重力恰好提供向心力,有mg =m v 22L,解得v =2gL ,选项A 、B 错误,C 正确;因为AB 同轴转动,B 的半径是A 的两倍,有v B =2v A ,即v A =122gL ,选项D 错误. 21. (1) ① BCD ② x 1x 2(2) ① 0.4 ② 3 ③mg M mg M +m 解析:(1) ① 本实验采用控制变量法,要求两个车的质量相同,且必须远大于砝码和砝码盘的总质量,选项A 错误,C 正确;使细线与轨道平行是为了减小摩擦,选项B 正确;为了保证砝码和砝码盘的总重力作为小车的合外力,就必须平衡摩擦力,选项D 正确.② 根据x =12at 2,可得a 1a 2=x 1x 2. (2) ① 根据Δx =aT 2,得a =Δx T2=0.4 m/s 2. ② 如果遗漏平衡摩擦力这一步骤,当力比较小的时候,小车不能运动,没有加速度,所以图线3符合要求.③ 根据牛顿第二定律,当满足砝码和砝码盘的总质量远小于小车的质量时,a 1=mg M ,为一条过原点的直线;如果不能满足,则mg -F =ma 2,F =Ma 2,联立可得a 2=mg M +m. 22. 解:(1) 由题图b 可知,甲车的加速度大小a 甲=v 0-v t 1=40-10t 1=30t 1乙车的加速度大小a 乙=v -0t 1=10t 1由m 甲a 甲=m 乙a 乙 解得 m 甲m 乙=13 (2) 在t 1时刻,甲、乙两车的速度相等,均为v =10 m/s ,此时两车相距最近. 对乙车有:v =a 乙t 1对甲车有:v =a 甲(0.4-t 1)解得t 1=0.3 s到速度相等时甲车的位移s 甲=v 0+v 2t 1=40+102×0.3 m =7.5 m 乙车的位移s 乙=v 2t 1=102×0.3 m =1.5 m 两车相距最近的距离为s min =s 0+s 乙-s 甲=4.0 m23. 解:(1) 由匀变速直线运动的公式s =12at 2 得a =2s t 2 (2) 设连接杆对拖拉机的拉力为T ,由牛顿第二定律得F -kMg -Tcos θ=Ma 解得拖拉机对连接杆的拉力大小为T =1cos θ⎣⎡⎦⎤F -M ⎝⎛⎭⎫kg +2s t 2 根据牛顿第三定律得T′=1cos θ⎣⎡⎦⎤F -M ⎝⎛⎭⎫kg +2s t 2 (3)拖拉机对耙做的功 W =T′s cos θ=⎣⎡⎦⎤F -M ⎝⎛⎫kg +2s t 2s 24. 解:(1) 物块摆动过程中机械能守恒,有mg(l -lcos 60°)=12mv 2 解得v =5 m/s物块运动到悬点正下方时,有F -mg =m v 2l解得F =10 N(2) 物块在小车上表面水平部分运动时,加速度大小a 1=μmg m=2 m/s 2 位移大小x 1=vt -12a 1t 2=4 m 小车的加速度大小a 2=μmg M=0.5 m/s 2 位移大小x 2=12a 2t 2=0.25 m 小车上表面水平部分长度Δx =x 1-x 2=3.75 m(3) 物块脱离小车上表面水平部分时的速度v 1=v -a 1t =3 m/s小车的速度v 2=a 2t =0.5 m/s物块离开小车后做平抛运动,则h =12gt 21解得t 1=0.6 st 1时间内,物块的位移大小x 1′=v 1t 1=1.8 m小车的位移大小x 2′=v 2t 1=0.3 m斜面水平长度x =x 1′-x 2′=1.5 m斜面倾角的正切值tan θ=h x=1.2 25. 解:(1) 因为四驱车到达C 点的速度大小为5 m/s ,B 到C 的过程为平抛运动,故其水平分速度即为到达B 点的速度v B =v C cos53°=3 m/s(2) 到B 点时速度恰达到最大值,所以AB 间阻力f =Pv max =P v B =3 N 由动能定理,从A 到B 有Pt -fL =12mv 2B解得t =2.5 s(3) 由到F 点时轨道对它的压力恰为零知mg =mv 2F Rv F =2 m/s 则从C 到F ,由动能定理得-mgR(1+cos53°)-W f =12mv 2F -12mv 2C 解得W f =4.1 J。
江苏省南通市如皋市搬经中学2016-2017学年高二下学期
2016-2017学年江苏省南通市如皋市搬经中学高二(下)期末模拟物理试卷(一)一、单项选择题(共5小题,每小题3分,满分18分)。
据央视新闻报道,中国航母“辽宁舰”于2016年10月 23日早晨离港开展训练,本次出海训练历时23天.辽宁舰自交付海军以来,先后完成舰载战斗机阻拦着舰、滑跃起飞、驻舰飞行、短距滑跃起飞等试验和训练,取得一系列成果.(辽宁舰外形高大威武,舰长302米,飞行甲板长70.5米.飞机在飞行甲板上加速离开航母时的速度至少为78m/s.)1.下列说法中正确的是()A.由于“辽宁舰”航母“高大威武”,故任何情况下都不能看成质点B.战斗机飞行员可以把正在甲板上手势指挥的调度员看成是一个质点C.在战斗机飞行训练中,研究战斗机的空中翻滚动作时,战斗机可以看成质点D.研究“辽宁舰”航母在大海中运动轨迹时,航母可以看成质点2.下列说法错误的是()A.材料中“历时23天”指的是时间间隔B.航母以较大的速度航行,可以缩短飞机在航母上的加速距离C.“辽宁舰”航母历时23天回到原港口,在整个训练过程中其位移和路程相同D.在模拟训练时飞行员将质量较大的副油箱抛掉,其目的是减小飞机的惯性3.以9.8m/s的水平初速度v0抛出的物体,飞行一段时间后,垂直地撞在倾角θ为30°的斜面上,可知物体完成这段飞行的时间是()(g取9.8m/s2)A. s B. s C. s D.2 s4.一个木块以某一水平初速度自由滑上粗糙的水平面,在水平面上运动的v﹣t图象如图所示.则根据图象不能求出的物理量是()A.木块的位移B.木块的加速度C.木块所受摩擦力D.木块与桌面间的动摩擦因数5.钓鱼岛群岛自古以来就是中国领土,其附近海域是渔民祖祖辈辈传统的谋生渔场.9月16日12时休渔结束,我国派出海监编队到钓鱼岛海域护渔.如图,中国海监46船(甲)和中国海监49船(乙),在钓鱼岛领海内开展例行维权巡航.甲、乙两船并排行驶,甲船上的船员看见钓鱼岛向东移,乙船内的船员发现甲船没有动.如果以钓鱼岛为参照物,上述事实说明()A.甲船向西运动,乙船不动B.乙船向西运动,甲船不动C.甲船向西运动,乙船向东运动D.甲、乙两船以相等的速度都向西运动6.近年来,智能手机的普及使“低头族”应运而生.近日研究发现,玩手机时,就有可能让颈椎承受多达60磅(约270N)的重量.不当的姿势与一系列健康问题存在关联,如背痛、体重增加、胃痛、偏头痛和呼吸道疾病等,当人体直立时,颈椎所承受的压力等于头部的重量;但当低头时,颈椎受到的压力会随之变化.现将人低头时头颈部简化为如图所示的模型;重心在头部的P点,颈椎OP(轻杆)可绕O转动,人的头部在颈椎的支持力和沿PQ方向肌肉拉力的作用下处于静止.假设低头时颈椎与竖直方向的夹角为45°,PQ与竖直方向的夹角为75°,此时,颈椎受到的压力约为直立时颈椎受到压力的()A.4.2倍B.3.3倍C.1.7倍D.1.4倍二、多项选择题(本题共6题,每小题4分,共24分。
2016-2017学年江苏省南通市如皋市搬经中学高一(下)期末模拟物理试卷(2)
2016-2017学年江苏省南通市如皋市搬经中学高一(下)期末模拟物理试卷(2)一、单项选择题1.(3分)在物理学的研究中用到的思想方法很多,下列有关各图的说法中正确的是()A.①③采用的是放大的思想方法B.②④⑤采用的是控制变量的思想方法C.④⑤采用的是猜想的思想方法D.①③⑤采用的是放大的思想方法2.(3分)在下列所描述的运动过程中,若物体所受的空气阻力均可忽略不计,则机械能守恒的是()A.小孩沿滑梯匀速滑下B.电梯中的货物随电梯一起匀速下降C.被投掷出的铅球在空中运动D.发射过程中的火箭加速上升3.(3分)玩具弹力球(如图)具有较好的弹性,碰撞后能等速反向弹回.一小孩将弹力球举高后由静止释放作自由落体运动,与水平地面发生碰撞,弹力球在空中往返运动.若从释放弹力球时开始计时,且不计弹力球与地面发生碰撞的时间和空气阻力,则弹力球运动的速度﹣时间图线是()A.B.C.D.4.(3分)如图所示,一辆轿车正在水平路面上转弯,下列说法正确的是()A.水平路面对轿车弹力的方向斜向上B.轿车受到的静摩擦力提供转弯的向心力C.轿车受到的向心力是重力、支持力和牵引力的合力D.轿车所受的合力方向一定与运动路线的切线方向垂直5.(3分)如图所示,不计重力的轻杆OP能以O点为圆心在竖直平面内自由转动,P端用轻绳PB挂一重物,另用一根轻绳通过滑轮系住P端.在力F的作用下,当杆OP和竖直方向的夹角α(0<α<π)缓慢增大时,力F的大小应()A.逐渐增大B.恒定不变C.逐渐减小D.先增大后减小6.(3分)目前我省交警部门开展的“车让人”活动深入人心,不遵守“车让人”的驾驶员将受到罚款、扣分的严厉处罚,如图所示,以8m/s的速度匀速行驶的汽车即将通过路口,有一位老人正在过人行横道,此时汽车的车头距离停车线8m.该车减速时的加速度大小为5m/s2.则下列说法中正确的是()A.如果驾驶员立即刹车制动,则t=2 s时,汽车车头离停车线的距离为2 m B.如果在距停车线6 m处开始刹车制动,汽车车头能在停车线处停下C.如果驾驶员的反应时间为0.4 s,汽车车头刚好能在停车线处停下D.如果驾驶员的反应时间为0.2 s,汽车车头刚好能在停车线处停下7.(3分)如图所示,A、B两物体相距x=7m时,A在水平拉力和摩擦力作用下,正以v A=4m/s的速度向右匀速运动,而物体B此时正以v B=10m/s的初速度向右匀减速运动,加速度a=﹣2m/s2,则A追上B所经历的时间是()A.7 s B.8 s C.9 s D.10 s8.(3分)如图所示,质量相等的A、B小物块用轻弹簧相连,用细线把A悬挂在天花板上,B放在水平面,静止时,B对水平面的压力刚好为零.忽略空气阻力,剪断A上的细线之后()A.A向下运动过程中,加速度先减小后增大B.A向下运动过程中,在弹簧处于原长时速度达到最大C.A运动到最低点时,地面对B的支持力等于A、B的重力之和D.A运动到最低点时,弹簧的弹性势能与细绳剪断前相等9.(3分)如图所示,AB是半圆弧的直径,处于水平,O是圆弧的圆心,C是圆弧上一点,∠OAC=37°,在A、O两点分别以一定的初速度同时水平抛出两个小球,结果都落在C点,则两个球抛出的初速度v l、v2的大小之比为()A.v l:v2=32:7 B.v l:v2=16:7 C.v l:v2=16:3 D.v l:v2=16:910.(3分)如图所示,直线a和曲线b分别是在平直公路上行驶的汽车a和b 的速度一时间(v﹣t)图线.已知在t l时刻b车追上a车.由图可知()A.在时刻t2,两车再次相遇B.在t l到t2这段时间内,两车的平均速度相等C.在t1到t2这段时间内,b车的加速度大小先减少后增大D.在t l到t2这段时间内,两车之间的距离先增大后减小11.(3分)如图所示,a、b、c三个相同的小球,a从光滑斜面顶端由静止开始自由下滑,同时b、c从同一高度分别开始自由下落和平抛.下列说法正确的有()A.它们的落地时间相同B.运动过程中重力做的功相等C.它们的落地时的动能相同D.它们落地时重力的瞬时功率相等12.(3分)一辆汽车在平直的公路上运动,运动过程中先保持某一恒定加速度,后保持恒定的牵引功率,其牵引力和速度的图象如图所示.若已知汽车的质量m,牵引力F1和速度v1及该车所能达到的最大速度v3.则根据图象所给的信息,下列说法正确的是()A.汽车运动中的最大功率为F1v3B.速度为v2时的加速度大小为C.汽车行驶中所受的阻力D.恒定加速时,加速度为13.(3分)如图所示,一航天器围绕地球沿椭圆形轨道运动,地球的球心位于该椭圆的一个焦点上,A、B两点分别是航天器运行轨道上的近地点和远地点.若航天器所受阻力可以忽略不计,则该航天器()A.由近地点A运动到远地点B的过程中动能增大B.由近地点A运动到远地点B的过程中万有引力做正功C.在近地点A的加速度小于它在远地点B的加速度D.运动到A点时其速度如果能增加到第二宇宙速度,那么它将不再围绕地球运行14.(3分)我国“北斗二代”计划在2020年前发射35颗卫星,形成全球性的定位导航系统,比美国GPS多5颗.多出的这5颗是相对地面静止的高轨道卫星(以下简称“静卫”),其它的有27颗中轨道卫星(以下简称“中卫”)轨道高度为静止轨道高度的.下列说法正确的是()A.“中卫”的线速度介于7.9 km/s和11.2km/s之间B.“静卫”的轨道必须是在赤道上空C.如果质量相同,“静卫”与“中卫”的动能之比为3:5D.“静卫”的运行周期小于“中卫”的运行周期15.(3分)静电喷涂时,喷枪喷出的涂料微料带电,在带正电被喷工件的静电作用下,向被喷工件运动,最后吸附在其表面.在涂料微粒向工件靠近的过程中()A.涂料微粒带正电 B.离工件越近所受库化力越小C.电场力对涂料微料做负功D.涂料微粒的电势能减小16.(3分)如图所示,长为L的轻杆一端固定一质量为m的小球,另一端连接水平轴O,杆可在竖直平面内绕轴O做无摩擦转动.此时小球正通过最低点Q,则关于小球的运动情况描述正确的是()A.若,则小球不可能到达圆形轨道的最高点PB.若,则小球能到达最高点P,且在P点受到轻杆向下的弹力C.若,则小球在P点受到轻杆的弹力大小为4mg,方向竖直向下D.若,则小球在P点受到轻杆的弹力大小为mg,方向竖直向上17.(3分)如图所示,在直线l上A、B两点各固定电荷量均为Q的正电荷,O 为AB的中点,C、D两点关于A点对称,C、D两点的场强大小分别为E C、E D,电势分别为φC、φD.则下列说法正确的是()A.E C>E D,φC>φDB.E C<E D,φC>φDC.在直线l上与D点电势相同的点除D点外可能还有2个D.将一负电荷从C点移到D点其电势能减小18.(3分)两个固定的等量异号点电荷所产生电场等势面如图中虚线所示,一带负电的粒子以某一速度从图中A点沿图示方向进入电场在纸面内飞行,最后离开电场,粒子只受静电力作用,则粒子在电场中()A.做直线运动,电势能先变小后变大B.做直线运动,电势能先变大后变小C.做曲线运动,电势能先变小后变大D.做曲线运动,电势能先变大后变小19.(3分)如图为测定运动员体能的装置,轻绳拴在腰间沿水平线跨过定滑轮(不计滑轮的质量与摩擦),下悬重为G的物体,设人的重心相对地面不动,人用力向后蹬传送带,使水平传送带以速率为v逆时针转动,则()A.人对物体重物,做功功率为G vB.人对传送带的摩擦力大小等于G,方向水平向右C.在时间t内人对传送带做功消耗的能量为GvtD.若增大传送带的速度,人对传送带做功的功率不变20.(3分)如图所示,A、B两小球由绕过轻质定滑轮的细线相连,A放在固定的光滑斜面上,B、C 两小球在竖直方向上通过劲度系数为k的轻质弹簧相连,C 球放在水平地面上.现用手控制住A,并使细线刚刚拉直但无拉力作用,并保证滑轮左侧细线竖直、右侧细线与斜面平行.已知A的质量为4m,B、C的质量均为m,重力加速度为g,细线与滑轮之间的摩擦不计,开始时整个系统处于静止状态.释放A后,A沿斜面下滑至速度最大时C恰好离开地面.下列说法正确的是()A.斜面倾角α=60°B.A获得最大速度为C.C刚离开地面时,B的加速度最大D.从释放A到C刚离开地面的过程中,A、B两小球组成的系统机械能守恒二、填空题21.某课外活动小组利用竖直上抛运动验证机械能守恒定律.(1)某同学用20分度游标卡尺测量小球的直径,读数如图甲所示,小球直径为cm.图乙所示弹射装置将小球竖直向上抛出,先后通过光电门A、B,计时装置测出小球通过A、B的时间分别为2.55ms、5.15ms,由此可知小球通过光电门A、B时的速度分别为v A、v B,其中v A=m/s.(2)用刻度尺测出光电门A、B间的距离h,已知当地的重力加速度为g,只需比较是否相等,就可以验证机械能是否守恒(用题目中涉及的物理量符号表示).(3)通过多次的实验发现,小球通过光电门A的时间越短,(2)中要验证的两数值差越大,试分析实验中产生误差的主要原因是.三、计算题22.如图所示,物体的质量为2kg,两根轻细绳AB和AC的一端固定于竖直墙上,另一端系于物体上(∠BAC=θ=60°),在物体上另施加一个方向与水平线也成θ角的拉力F,若要使绳都能伸直,求拉力F的大小范围。
江苏省如皋市搬经中学2016-2017学年高一英语综合训练二含答案
综合训练二(Module 1~Module 4)一、单项填空1. - Jack speaks ________English like a native. I always admire him。
—Now he is learning ________more difficult language—Arabic。
A. an;aB. /;theC. /; aD. the;a2. She cared for children so much that she devoted most of her time to children ________work after graduation from a university.A. career B。
business C. welfare D。
profit3。
Hawaii is ________a beautiful place of interest. It is also famous for its rich cultural relics.A。
more than B。
less than C. other than D. rather than4。
Don’t defend him any more。
It’s obvious that he ________ destroyed the fence of the garden even without an apology。
A. accidentallyB. carelessly C。
deliberately D. clumsily5。
In the supermarket foreign names of the products got ________, and I was confused about what to buy.A。
mixed up B. fixed up C. picked up D. showed up6。
如皋市搬经中学2016—2017学年高一物理年级下学期综合练习题(含解析)
江苏省如皋市搬经中学2016-2017学年高一物理年级下学期综合练习题(含解析)一、不定项选择题1. 如图所示,一小球放置在木板与竖直墙面之间.设墙面对球的压力大小为F N1,球对木板的压力大小为F N2.以木板与墙连接点所形成的水平直线为轴,将木板从图示位置开始缓慢地转到水平位置.不计摩擦,在此过程中( )A。
F N1始终减小,F N2始终增大B. F N1始终减小,F N2始终减小C。
F N1先增大后减小,F N2始终减小D。
F N1先增大后减小,F N2先减小后增大【答案】B【解析】试题分析:以小球为研究对象并进行分析受力:重力G、墙面的支持力F N1和木板的支持力F N2,如图所示:根据三角形关系得:,,木板从图示位置开始缓慢地转到水平位置θ增大,则F N1始终减小,F N2始终减小,故B正确。
所以B正确,ACD错误。
考点:共点力作用下物体平衡【名师点睛】本题主要考查了共点力作用下物体平衡.以小球为研究对象,分析受力情况:重力、木板的支持力和墙壁的支持力,根据平衡条件得到两个支持力的情况;然后根据牛顿第三定律得知,木板对球的支持力大小等于球对木板的压力大小.2。
将一只皮球竖直向上抛出,皮球运动时受到空气阻力的大小与速度的大小成正比.下列描绘皮球在上升过程中加速度大小a与时间t关系的图象,可能正确的是()A。
B.C。
D.【答案】C【解析】皮球竖直向上抛出,受到重力和向下的空气阻力,根据牛顿第二定律,有:mg+f=ma根据题意,空气阻力的大小与速度的大小成正比,有:f=kv,联立解得:;由于速度不断减小,故加速度不断减小,到最高点速度为零,阻力为零,加速度为g,不为零,故BD均错误;根据BD 的结论,有,由于加速度减小,故也减小,故也减小,故a-t图象的斜率不断减小,故A错误,C正确;故选C.点睛:本题关键是受力分析后得到加速度的表达式,然后结合速度的变化得到阻力变化,最后判断出加速度的变化规律.3. 如图所示,与水平面夹角为30°的固定斜面上有一质量m=1。
江苏省如皋市搬经中学2016—2017高一综合测试试题(含解析)
江苏省如皋市搬经中学2016-2017学年高一历史综合测试试题(含解析)一、单项选择题:每道题目只有一个答案最符合题目要求。
1. 东汉末服虔撰《通俗文》描述古代某一农具曰:其制两柄上弯,高可三尺,两足中虚,阔合一垅,横恍四匝,中置耧斗:其所盛种粒,各下通足窍,仍旁挟两辕,可容一牛。
据此判断此农具应为【答案】A【解析】根据题干材料“中置耧斗:其所盛种粒"可以知道,此农具是播种工具。
根据材料“东汉”,可知此农具是汉代的耧车,故A项正确。
B项反映的是汉代的二牛一人犁耕法,排除。
C项是唐朝的曲辕犁,应排除. D项是翻车,是灌溉工具,应排除.故选A。
2。
《复活的兵团》解说:两千多年前的秦朝在统一后已按照“国标"大规模生产各类标准化兵器.秦朝《工律》规定:“为器同物者,其大小、短长、广袤亦必等."以下分析正确的是A。
有利于统一规范民间手工业生产 B. 说明了秦朝统一全国的原因C. 反映了秦朝官营手工业的标准化D. 秦朝手工业生产的水平发达【答案】C【解析】试题分析:本题主要考查学生正确运用所学知识解决问题的能力。
抓住题干中秦已经按照“国标”进行“大规模生产各类标准化兵器"的信息,结合所学知识可知当时“大规模生产”的必然是官营手工业,故A项错误;再结合《工律》规定的内容,可知题干反映了秦代官营手工业的标准化生产,故C项正确;BD 两项与题干信息无关,排除。
考点:古代中国经济的基本结构和特点·古代的手工业·特点3. 学者吴晓波的《浩荡两千年》指出:宋代之后,市集禁令取消,非官营的“草市”、墟市以及庙院集市日渐扩张,不过它们的功能都非常传统,无非为方圆几十里的农户提供日常消费品.此材料揭示了宋代的市A。
突破时间限制 B. 没有官府管理C. 服务设施完备D. 功能没有本质的突破【答案】D【解析】试题分析:本题主要考查学生正确运用所学知识解决问题的能力.本题考查了我国古代的商业。
江苏省如皋市搬经中学2016—2017学年高一历史综合测试试题(含解析)
江苏省如皋市搬经中学2016—2017学年高一历史综合测试试题(含解析)一、单项选择题:每道题目只有一个答案最符合题目要求。
1. 东汉末服虔撰《通俗文》描述古代某一农具曰:其制两柄上弯,高可三尺,两足中虚,阔合一垅,横恍四匝,中置耧斗:其所盛种粒,各下通足窍,仍旁挟两辕,可容一牛。
据此判断此农具应为【答案】A【解析】根据题干材料“中置耧斗:其所盛种粒”可以知道,此农具是播种工具.根据材料“东汉”,可知此农具是汉代的耧车,故A项正确。
B项反映的是汉代的二牛一人犁耕法,排除。
C项是唐朝的曲辕犁,应排除。
D项是翻车,是灌溉工具,应排除。
故选A。
2. 《复活的兵团》解说:两千多年前的秦朝在统一后已按照“国标”大规模生产各类标准化兵器。
秦朝《工律》规定:“为器同物者,其大小、短长、广袤亦必等。
”以下分析正确的是A. 有利于统一规范民间手工业生产B. 说明了秦朝统一全国的原因C. 反映了秦朝官营手工业的标准化D. 秦朝手工业生产的水平发达【答案】C【解析】试题分析:本题主要考查学生正确运用所学知识解决问题的能力。
抓住题干中秦已经按照“国标”进行“大规模生产各类标准化兵器”的信息,结合所学知识可知当时“大规模生产”的必然是官营手工业,故A项错误;再结合《工律》规定的内容,可知题干反映了秦代官营手工业的标准化生产,故C项正确;BD两项与题干信息无关,排除。
考点:古代中国经济的基本结构和特点·古代的手工业·特点3. 学者吴晓波的《浩荡两千年》指出:宋代之后,市集禁令取消,非官营的“草市”、墟市以及庙院集市日渐扩张,不过它们的功能都非常传统,无非为方圆几十里的农户提供日常消费品。
此材料揭示了宋代的市A. 突破时间限制B. 没有官府管理C. 服务设施完备D. 功能没有本质的突破【答案】D【解析】试题分析:本题主要考查学生正确运用所学知识解决问题的能力。
本题考查了我国古代的商业。
根据所学知识可知宋朝的市突破了时间和空间的限制,并且服务设施完备,但是材料中没有体现出来,所以A、C不符合题意;我国古代的商业和市始终处于官府的管理之下,故排除B;由“无非为方圆几十里的农户提供日常消费品”可知宋代的市功能没有本质的突破,故选D。
- 1、下载文档前请自行甄别文档内容的完整性,平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益,请联系客服反馈,我们会尽快为您处理(人工客服工作时间:9:00-18:30)。
高一数学综合训练六
一、填空题:本大题共14小题,每小题5分,共70分.
1. 已知三点(3,1)A ,(2,)B k -,(8,11)C 共线,则k 的取值是 .
2. 在ABC ∆中,已知4a =,6b =,120C = ,则sin A 的值是 .
3. 在等比数列{}n a 中,131,3a S ==,则q =
4. 若直线062=++y mx 与直线01)1(2=-+-+m y m x 平行,则实数=m 。
5. 在△ABC 中,c b a ,,分别是C B A ∠∠∠,,的对边长,已知c b a ,,成等比数列,且bc ac c a -=-22,则=∠A __________.
6. 在等差数列{}n a 中,28149a a a ++=,则15S = .
7. 直线()011:2=--+y x a l 的倾斜角的范围是 .
8. 直线l :()120kx y k k R -++=∈不经过第四象限,则k 的取值范围为 .
9. 在ABC ∆中,B a c cos 2=,则ABC ∆的形状是 .
10. 已知)*
n a n N =∈,则1210a a a +++ 的值为 ; 11. 等差数列}{n b 中,53=b 错误!未找到引用源。
,95=b 错误!未找到引用源。
,数列}{n a 中,11=a 错误!未找到引用源。
,n n n b a a =--1)2(≥n 错误!未找到引用源。
错误!未找到引用源。
,
则数列}{n a 的通项公式为=n a 错误!未找到引用源。
.
12. 直线20kx y ++=和以(2,1),
(3,2)M N -为端点的线段相交,则实数k 的取值范
围 . 13. 在锐角三角形ABC ,A 、B 、C 的对边分别为a 、b 、c ,
6cos b a C a b +=,则tan tan tan tan C C A B
+= . 14. 下述数阵称为“森得拉姆筛”记为S .其特点是每行每列都是等差数列,第i 行第j 列
的数记为ij A .
17139511310741
97531
54321
11111
则数82在该数阵S 中共出现了 次.
二、解答题:本大题共6小题,共90分.
15. 已知锐角ABC ∆的三内角A 、B 、C 的对边分别是,,a b c 且222()tan b c a A +-
(1)求角A 的大小;(2)若a =2b c +=,求两边,b c 的大小
16. 求适合下列条件的直线方程:
(1)经过点P (3,2),且在两坐标轴上的截距相等;
(2)过点()1,2P 且与两坐标轴的正半轴围成的三角形面积最小。
17. 若等差数列}{n a 的前n 项和为n S ,101=a ,2a 为整数,且4S S n ≤.
(1)求数列}{n a 通项公式;
(2)设1
1
+=n n n a a b ,求数列}{n b 前n 项和为n T .
18. 如图,在四边形ABCD 中,已知AD ⊥CD, AD=10, AB=14,
∠BDA=60︒, ∠BCD=135︒ , 求BC 的长 .
19. 在ABC ∆中,顶点)2,2(A ,边AB 上的中线CD 所在直线的方程是0=+y x ,边 AC 上高BE 所在直线的方程是043=++y x .
(1)求点B 、C 的坐标;
(2)求ABC ∆的面积.
20. 设}{n a 为等差数列,}{n b 为等比数列,且01=a ,若n n n b a c +=, 数列}{n c 的 前三项依次为1,1,2.
(1)求}{n a 和}{n b 的通项公式;
(2)在数列}{n a 中依次抽出第1,2,4,…,12
-n 项组成新数列}{n k ,写出}{n k 的通项公式;
(3)设n n n b a d ⋅=,求数列}{n d 的前n 项和n S .。