Section ⅣLesson 3
1．Discussion—Match the pictures with the proper introductions and then discuss their contributions.
A．Galileo Galilei B．Stephen Hawking C．Sir Isaac Newton
①__C__ He is considered as one of the greatest scientists in history for his discovery of universal gravitation and the three laws of motion.
②__B__ He is a British scientist.He worked in astronomy and put forward a theory about black holes.
③__A__ He is an Italian astronomer, physicist and engineer.He advocated the sun is the centre of the universe.
2．Prediction—Look at the title and the three pictures on Page 36～37，and then predict what the text is mainly about.
It__is__mainly__about__how__we__acquire__knowledge__and__understanding.
1．First reading—Read the text and answer the following questions.
(1)Why were people like Galileo Galilei often punished by the church?
Because__at__that__time__many__people__tended__to__believe__more__in__the__ church__than__in__facts,__and__people__like__Galileo_Galilei_proved__the_Earth __was__not__the__centre__of__the__universe,__which__went__against__church’s_ _idea__about__universe.
(2)Why can none of us ever sit back and say, “We know it all.” ?
Because__our__understanding__of__the__world__around__us__is__constantly__gro wing__and__changing.
2．Second reading—Read the text carefully and choose the best answer according to the passage.
(1)What’s the very first step of Francis Bacon’s type of thinking?
A．Raising questions.
B．Observing the world.
C．Thinking over the possible answers.
D．Testing for a right answer.
(2)What do we know from the passage?
A．Both Bacon and Galilei were punished for their scientific ideas.
B．At that time, people believed more in religion than in facts.
C．Before Galilei, Aristotle’s theory had influenced people for 1，000 years. D．The church was against the great philosopher Aristotle for his theory of the universe.
(3)What’s the main idea of the passage?
A．Francis Bacon was going against the views of his day.
B．Galileo Galilei was great to prove the Earth is not the centre of the universe. C．The Earth is not the centre of the universe and it doesn’t move round the sun in a perfect circle, either.
D．People should question more because great men, even Aristotle and Galilei, might make mistakes.
(4)What is the correct order to acquire knowledge and understanding according to the article?
A．questions, observe and study, consider and test, find the right answers B．acquire the knowledge, understanding, find the right answers, consider and test C．observe, study, consider, find the right answers
D．questions, find the right answers, observe, test
(5)Which of the following is NOT true according to the passage?
A．People tend to believe everything that the person they respect says.
B．Galileo proved “the Earth is not the center of the universe” and he never made mistakes.
C．Knowledge is got by learning not by believing.
D．Civilisation is built on the kingdom of knowledge.
答案(1)A(2)B(3)D(4)A(5)B
3．Third reading—Read the text carefully again and fill in the form below.
Group work：What lessons have you learned from the great scientists？What do you think of them?
The__answer__is__open.
经典名言佳句
1．Learning must be combined with work.
学习必须与实干相结合。
2．It’s never too old to learn.
活到老，学到老。
3．Learning found his own ignorance.
愈学习，愈发现自己无知。
4．To live is to learn，not learn to live.
活着就要学习，学习不是为了活着。
5．Hard work always can realize your wishes.
刻苦学习的人总能实现自己的愿望。
6．Teaching must start from learners of the existing experience.
教学必须从学习者已有的经验开始。
7．As long as willing to learn, it will be able to learn.
只要愿意学习，就一定能够学会。
8．Learning without thought is labor lost; thought without learning is perilous.
学而不思则罔，思而不学则殆。
语言现象感知
Ⅰ.单词理解
体会句中加黑单词的词性和含义
1．It seems obvious now how we acquire knowledge and understanding.__adj.显然的，明显的；易理解的
2．It is not surprising that people wanted to believe these primitive ideas as they had been put forward by the great philosopher Aristotle (384－322 BCE)．adj.原始的3．They didn’t want to abandon what they’d always thought as true.v t.放弃；抛弃4．And this is still often true today.People make the assumption that if someone important and respected says that something is right, then it must be so.n.假定，假设；adj.受尊敬的，受敬重的
5．We need to thank the great men of the past for their wisdom.n.智慧
Ⅱ.词块积累
写出下列词块的含义
1．acquire knowledge and understanding获得知识和理解
2．to start with首先
3．against the views of the day违反了那个时代的观念
4．hold an important rank身居要职
5．approve of his studies同意他的研究
6．make the assumption做出假设
Ⅲ.句式欣赏
1.although引导让步状语从句；and连接并列的动名词短语作宾语
Although today we are more used to typing a few key words into a search engine and waiting for the Internet to give us an answer, modern scientists and thinkers are still solving the world's problems with this type of analysis—luckily for us.
2.it作形式主语；as引导原因状语从句
It is not surprising that people wanted to believe these primitive ideas as they had been put forward by the great philosopher Aristotle (384—322 BCE).
3.and连接并列的形容词比较级结构；that引导宾语从句；to fight for作定语；some might say作插入语
These men knew that knowledge and understanding are things to fight for; more vital to a man,and more beneficial to mankind, some might say, than all the money in the world.
Ⅰ.单词语境记忆——根据英汉提示写出单词的适当形式
1．Our teacher urges__(催促)us to study hard with the College Entrance Examination drawing near.
2．From Jame’s face, I could see he was terrified of being abandoned(遗弃) by us. 3．It is obvious(明显的) that the mayor’s heart is linked with the hearts of the masses.
4．She doesn’t approve(同意) of my leaving school this year.
5．A lot of people make the assumption (assume) that poverty only exists in the third world.
6．The doctor thought the change would be beneficial (benefit) to the patient’s health. 7．I still believe in a more conventional (convention) approach to medicine.
8．She is a well respected (respect)member of the international community.
Ⅱ.短语语境填空——根据汉语提示写出适当的短语
1．Now he has__been__used__to(习惯) getting up early.
2．We all believe__in(相信) good, free education for our children.
3．The film conveys an idea that people should respect each other and live in harmony，instead__of (而不是)being at war.
4．Premier Li Keqiang said the Chinese government would put__forward(提出) its own proposals.
5．I approve__of (同意)your earning some money, but please don’t neglect your studies. 6．He was made to practise the piano so much that，at__times(有时), he thought about giving up.
7．How men first invented words is unknown.In__other__words(换句话说), the beginning of language is a mystery.
8．It is clear that she should owe her success to (归功于)hard work.
Ⅲ.句式语境仿写
1．It seems obvious now how we acquire knowledge and understanding.
现在看来，我们如何获得知识和理解是显而易见的。
[仿写]很明显，在今天甚至以后，中国将在世界上发挥影响力。
It__is__obvious__that__China__can__make__a__difference in the world today and tomorrow.
2．However, in the 17th century when Francis Bacon (1561－1626) suggested that this type of thinking was the way to gain knowledge, he was going against the views of the day.然而，在17世纪，当弗朗西斯·培根(1561－1626)提出这种思维方式是获取知识的途径时，他却违背了当时的观点。
[仿写]他脸上的微笑表明，他同意这一计划了。
The smile on his face __suggested__that__he__agreed__to__the__plan．
3．At that time, people believed more in the church than in facts, and people like Galileo Galilei (1564－1642)，who proved the idea that “the Earth is not the centre of the universe”，were often punished by the church with no one coming to their defence.那时，人们更多地相信教会而不是事实，像伽利略·伽利雷(1564－1642)这样证明了“地球不是宇宙中心”这一观点的人，经常受到教会的惩罚，没有人来为他们辩护。
[仿写]由向导领路，我们没费事就找到了他的家。
With__the__guide__leading__the__way,__we had no trouble finding his house.
记单词
Ⅰ.联想记词
“赞成”与“反对”高频词汇荟萃
(1)赞成；支持
①approve v t.批准；赞同
②favour v t.&n. 赞成
③support v t. & n. 支持
(2)反对
①oppose v t. 反对
②object v i. 反对
Ⅱ.一言串记
1．It was first assumed that he was the murderer, but later it turned out to be a false assumption.起初人们以为他是凶手，但后来证明这是一个错误的假设。
2．An urgent bell rang, which urged us to get up quickly.We all knew a matter of urgency would happen.紧急的铃声响起，催促我们快起床。我们知道紧急情况就要发生了。
Ⅲ.谐音记词
1．在“阴影”里“晒豆”是愚蠢的→shadow n．阴影，影子
2．他们不能“遏制”这种“强烈要求”→urge v t.力劝，强烈要求
句型公式
1．it作形式主语的主语从句
2．suggest引导的宾语从句
3．with复合结构
1．worthy adj.有价值的；值得尊敬的Although Bacon held an important rank in King James’ royal court of England, his true interest was not the day－to－day, slow and inefficient working style of the government, but the worthy search for knowledge.(教材P36)
尽管培根在英国国王詹姆斯的宫廷中占有重要的地位，但他真正感兴趣的不是政府的日常、缓慢和低效的工作作风，而是值得人们去寻找的知识。
[合作探究]体会worthy的用法和意义
The bank might think you’re worthy of a loan.
银行也许会认为你具备贷款的条件。
Now that you are interested in traditional Chinese culture, I think this festival is well worthy of being experienced/to be experienced.
＝Now that you are interested in traditional Chinese culture, I think this festival is well worth experiencing.(全国卷Ⅱ书面表达)
既然你对传统的中国文化感兴趣，我认为这个节日很值得你体验。
[自主发现]
①be worthy＋of＋n.(金钱等)值……
②be worthy of being__done/to__be__done 值得被做
③be (well) worth doing ……(非常)值得做
[巩固内化]
同义句转换/一句多译
①The question is not worth discussing.
→The question is not worthy__of__being__discussed．
→The question is not worthy__to__be__discussed．
②这座古建筑值得保护。
→The__old__building__is__worth__protecting.
→The__old__building__is__worthy__of__being__protected/to__be__protected.
2.urge vt.强烈要求；敦促urgent adj.紧急的；急迫的urgency n．紧急
At first, people approved of his studies and urged him to continue, but later when he proved Aristotle wrong, they grew angry and put him in prison.(教材P37)起初，人们赞成他的研究，并敦促他继续，但后来当他证明亚里士多德错了，他们变得愤怒，并把他投入监狱。
[合作探究]体会urge及其相关词的用法和意义
Students urged that the library (should)be kept open during the weekends.
学生们极力主张图书馆周末也开放。
He urged me to go there, but I refused.
＝He urged me into going there, but I refused.
他力劝我去那里，但我拒绝了。
The teacher urged us on to struggle against difficulties.
老师鼓励我们起来与困难作斗争。
[自主发现]
①urge that...(should)__do...力劝某人应做……
②urge sb to do sth＝urge sb into doing sth 力劝某人做某事
③urge sb on to do sth 驱策/鼓励某人做某事,[巩固内化]
单句语法填空/一句多译
①They urged that the Science Museum (should)__be__kept (keep) open during the vacation.
②He urged me to__accept/into__accepting (accept) his suggestion.
③他要求我们立即采取行动。
→He__urged__us__to__take__an__immediate__action.
→He__urged__us__into__taking__an__immediate__action.
→He__urged__that__we__(should)__take__an__immediate__action.
3.abandon vt.放弃；抛弃abandoned adj.被遗弃的，抛弃的；自我放任的
They didn’t want to abandon what they’d always thought as true.(教材P37)
他们不想放弃他们一直认为是真的东西。
[合作探究]体会abandon及其相关词的用法和意义
Rescuers had abandoned all hope of finding any more survivors.
救援人员已放弃了能找到更多幸存者的所有希望。
I’m considering abandoning smoking soon.
我在考虑很快戒烟。
At the sad news, he abandoned himself to despair.
听到这悲惨的消息，他陷入了绝望之中。
People jumped and shouted with abandon.
人们尽情地跳着喊着。
[自主发现]
①abandon sb/sth放弃某人/某物
②abandon doing sth 放弃做某事
③abandon oneself to (doing) sth 沉溺于/纵情于(做)某事
④with__abandon 放任地；放纵地
[巩固内化]完成句子
①We should abandon__those__bad__habits that are harmful to our health, such as smoking and drinking.
我们应该摒弃那些对我们健康有害的坏习惯，如吸烟、喝酒等。
②The young man does nothing but abandon__himself__to__pleasure．
那位年轻人除了沉溺于玩乐什么都不做。
③The girls jumped up and down and waved their arms with__abandon．
女孩们欢呼雀跃纵情地挥舞着她们的胳膊。
④There was an__abandoned__house by the riverside.
河边有一所废弃的房子。
4.assumption n．假定，假设assume vt.假定；设想
People make the assumption that if someone important and respected says that something is right, then it must be so.(教材P37)人们认为，如果一个重要的、受人
尊敬的人说某件事是对的，那么它一定是对的。
[合作探究]体会assumption及其相关词的用法和意义
The reader should not have to make an assumption as to how your character sounds.读者不必假设你的角色听起来如何。
On the assumption that everything is prepared, we can finish the task in 3 days.
假定一切准备好了，我们可以在3天内完成任务。
It is assumed that you are right, what should we do next?
假定你是对的，我们下一步该怎么做？
[自主发现]
①make __an__assumption认为，假定
②on the assumption that... 假定……，以……的设想为依据
③It is assumed that... ……被认为
[巩固内化]
完成句子/同义句转换
①We can __make__an__assumption about these things the first time out.
我们可以将这些设置假定为第一次使用的情形。
②On__the__assumption__that__his__story__is__true,__what should we do?
假设他的故事是真的，我们应该怎么做？
③Considering what she has done, we assume__(that)__she__is warm－hearted.
→It__is__assumed__that she is warm－hearted considering what she has done.
1．approve of赞成，赞许
At first, people approved of his studies and urged him to continue, but later when he proved Aristotle wrong, they grew angry and put him in prison.(教材P37)起初，人们赞成他的研究，并敦促他继续，但后来当他证明亚里士多德错了，他们变得愤怒，并把他投入监狱。
[短语记牢]记牢下列短语
approve of sb/sth赞成某人/某事
with one’s approval 经某人同意
without (one’s) approval 未经(某人)许可
①I can hardly approve of their marriage.我很难赞成他们的婚姻。
②Does what I have done meet with your approval?
我所做的你赞成吗？
③You may not decorate the flat without the landlord’s approval.
未经房东同意，你不可以装修公寓。
[巩固内化]
单句语法填空/完成句子
①Step parents need to win a child’s approval (approve)．
②We can’t approve of things of this sort.
③My daughter doesn’t approve__of me/my coming here.
我女儿不赞成我到这里来。
④We went to the party with__our__parents’__approval．
我们取得父母同意后去参加聚会。
2.owe...to...把……归功于……
We owe so much of our knowledge and understanding of the world to people like Bacon and Galilei, who were brave enough to step out from the shadows of conventional thought in order to find the kingdom of knowledge that today’s civilisation is built upon.(教材P37)我们对世界的认识和理解，很大程度上要归功于培根和伽利略这样的人，他们勇敢地走出传统思想的阴影，以便找到现代文明建立在此基础之上的知识王国。
[短语记牢]记牢下列短语
owe...to...把……归功于……
owe sb sth＝owe sth to sb 欠某人某物
owing to 因为；由于
①The teachers owe our success to our hard work.
老师把成功归功于我们的努力。
②Thanks for sticking up for me, I owe you a favour.
谢谢你支持我，我欠你一个人情。
③Owing to the bad weather, the flight was delayed for a couple of hours.
由于天气恶劣，航班延误了好几个小时。
[名师点津]如果owe的宾语是动词不定式或名词性从句，可使用owe it to sb to do/that...结构。,[巩固内化]完成句子
①You owe__your__parents__a__letter anyway.
不管怎样，你该给父母写封信了。
②I owe__it__to__you__that I finished the project in time.
多亏你我才得以及时完成了这个项目。
③Owing__to__a__lack__of funds, the project will not continue next year.由于缺乏资金，该项目明年将中止。
④He owes__his__good__health__to his regular life.
他把健康归功于有规律的生活。
1．It seems obvious now how we acquire knowledge and understanding.(教材P36)现在看来，我们如何获得知识和理解是显而易见的。
[句式解读]it作形式主语，代替后面how引导的从句。
[用法总结]
(1)It be＋形容词(possible, strange, natural, important...)＋that从句
(2)It be＋过去分词(said, thought, believed, supposed, reported...)＋that从句
(3)It＋不及物动词(seem, occur, happen...)＋that从句
(4)It be＋名词短语(a pity, a fact, a wonder, an honour, an idea, no wonder...)＋that从句
①It is strange that nobody knows where he has gone.
很奇怪没有人知道他去了哪儿了。
②It is reported that the fall of the landslide has caused two hundred deaths.
报报道，山体滑坡已致200人死亡。
③It happened that we were all out that day.
碰巧那天我们都不在家。
④It is a pity that you didn’t attend my birthday party last night.
很遗憾你昨天晚上没有参加我的生日聚会。
[巩固内化]
完成句子/同义句转换
①It__is__said__that__ the pirates buried their treasure on this island.
据说海盗把他们的财宝藏到了这个岛上。
②It__is__desired__that everything should be ready by ten o’clock.
希望一切在十点之前准备就绪。
③Obviously, he doesn’t want to spend too much money.
→It__is__obvious__that he doesn’t want to spend too much money.
④That our team has won the game is no surprise.
→It__is__no__surprise__that our team has won the game.
⑤That we are invited to a concert this evening is good news to us.
→It__is__good__news__to__us__that we are invited to a concert this evening.
2.However, in the 17th century when Francis Bacon (1561－1626) suggested that this type of thinking was the way to gain knowledge, he was going against the views of the day.(教材P36)然而，在17世纪，当弗朗西斯·培根(1561－1626)提出这种思维方式是获取知识的途径时，他却违背了当时的观点。
[句式解读]suggest后加that从句时，若作“暗示，表明”讲，从句要用陈述语气。
[用法总结]
suggest作“建议”讲时，其后宾语从句要用虚拟语气，即should＋动词原形，should常可省略。作“暗示，表明”讲时，从句用陈述语气。
①To have more time to read and select books, I suggest that we (should)set out early.(全国卷Ⅲ书面表达)
为了有更多的时间读书、挑选书，我建议我们早出发。
②He came to my class every week, but his attitude suggested that he was not really interested in it.
他每周都来我们班级，但是他的态度表明他对此并不是很感兴趣。,[巩固内化]单句语法填空/完成句子
①Jane’s pale face suggested that she was (be) ill, and her parents suggested that she (should)__have (have) a medical examination.
②The dentist suggested__that__she__(should)__come another day.
那位牙医建议她改天再来。
③The expression on her face suggested that she__was__very__angry．
她脸上的表情表明她非常生气。
Ⅰ.课文语法填空
1．It seems obvious now how we acquire knowledge and understanding.2.To__start(start) with, we need questions.Then，3.to__find (find) answers, we observe the world around us and study the facts.After that, we consider possible answers and test each to find the right 4.ones (one)．Modern scientists and thinkers are still solving the world’s problems 5.with__this type of analysis.
Our understanding of the world around us is 6.constantly (constant) growing and changing.In other words, we learn more every day.We need to thank the great men of the past for 7.their(they) wisdom.They understood 8.that__we don’t know everything and probably never will, as this would mean a world with questions.We owe so much of our knowledge and understanding of the world to people like Bacon and Galilei, who were brave enough to step out from the shadows of 9.conventional(convention) thought in order to find the kingdom of knowledge that today’s civilisation 10.is__built (build)upon.
Ⅱ.根据提示完成课堂小作文
上周我们举行了一次数学考试。很显然(obvious)考场上的气氛有些紧张。一道数学题引起了我的注意。我想做出这道题，不想放弃(abandon )它。但是我有些笨，而且我做题效率低(inefficient)。最后，我尽管在这道题上花了点时间，但这是值得(worthy)思考的，我把成功归功于(owe)我的信心。
We__had__a__math__test__last__week.It__was__obvious__that__the__atmosphere_ _in__the__examination__room__was__a__little__tense.A__math__problem__caught __my__attention.I__wanted__to__work__out__the__problem，
and__I__didn’t__want__to_abandon_it.But_I’m_a_bit_stupid,_and_I’m__inefficient
__at__doing__maths__problems.In__the__end,__although__I__spent__some__time_ _on__this__problem,__it__was__worthy__of__being_thought/to_be_thought_about.I __owe__my__success__to__my__confidence.
Ⅰ.单词拼写
1．The National People’s Congress approved(批准) these reports last year.
2．In my opinion, the book is well worthy(值得) of being read.
3．The book is an analysis(分析) of poverty and its causes.
4．She was not used to mixing with people of high social __rank(等级)．
5．He had acquired much wisdom (智慧)during his long life.
6．Using computers has a beneficial(有益的) effect on children’s learning.
7．The country abandoned(放弃) its political leaders after the war.
8．She repeatedly urged__(催促)her son not to tell anyone about it.
Ⅱ.单句语法填空
1．Her son abandoned himself to playing (play) computer games.
2．I would appreciate it if my application could get your approval (approve)．3．Let’s work on the assumption(assume)that our proposal will be accepted.
4．You owe it to your mother not to drop out of school.
5．The doctor suggested that he (should)try (try) to lose weight.
6．It is a pity that you’ve missed such a good chance.
7．He was doing his homework with his MP4 turned (turn) on.
8．It’s of great urgency(urge) that we need to make the relative laws with the rapid growth of online shopping.
Ⅲ.阅读理解
A teenage girl attracted people’s eyes online recently.She spent her life being carried around in a plastic bowl.It was because her body stopped growing when she was a baby.Now unluckily she has died.
Rahma Haruna became famous around the world after a picture of her was shared online，
when she was being carried by her 10－year－old brother.Photo reporter Sani Maikatanga，who took the photo，shared the news of the 19－year－old’s death.She wrote as the following：Rahma Haruna，a lovely and brave girl has passed away on Sunday 25th of December 2016.May she have a good time in the sky for ever from that time on.
Rahma，from Kano，a northern place of Nigeria，appeared to be a healthy baby when she was born，but some days after her birth，she was with a strange condition in health.Her body stopped developing，even though her head grew to the size of a normal teenager’s.But the girl tried to face the fact.She had spoken of her wish to become a grocer (食品商) and run a small shop one day.
She is believed to have been in pain because of the condition，and she needed to be in the plastic bowl in order to keep herself straight.Though her parents tried their best to send her to the best hospitals in Nigeria，her condition never came to normal or better.It troubled all the people around her.Her family became badly off because of her treatment，but they never gave up a little.Many kind people donated money to her.And even the teenager was recently given a wheelchair so that she could be pushed around in her little bowl.
【语篇解读】本文主要讲述了身有残疾但顽强的尼日利亚女孩。
1．What happened to Rahma when she was a baby?
A．Her body was hurt badly.
B．Her body stopped developing.
C．She was given up by her parents.
D．She lost her feeling by accident.
答案B[细节理解题。根据第一段“It was because her body stopped growing when she was a baby.”可知，当Rahma还是婴儿的时候，她的身体就停止成长了。] 2．In the eyes of Sani Maikatanga，Rahma ________．
A．lost the courage to stand up
B．would live her life by herself
C．had a good time in the hospital
D．was a lovely and brave one
答案D[细节理解题。根据第二段“She wrote as the following...25th of December 2016.”可知，Sani Maikatanga 认为Rahma是个可爱且勇敢的女孩。]
3．What was the only hope of this unlucky girl Rahma?
A．To have a normal life.
B．To support her family.
C．To run a grocery shop.
D．To make more friends.
答案C[细节理解题。根据倒数第二段“She had spoken of her wish to become a grocer and run a small shop one day.”可知，Rahma的愿望是成为一个食品商去经营一家小商店。]
Ⅳ.七选五
We often hear about the negative impacts of stress that may lead to sleep difficulties, heart attacks and increases in weight.__1__ Scientists have found that our abilities peak under moderate (适度的) level of stress.
__2__ For example, we are more likely to remember something under some levels of stress.If you’re worried about a test or presentation, then the anxiety tells you that you need to study.If you are anxious while driving, the stress tells you to pay attention. However, when those stressful events are continuous, negative results will be produced.__3__ If you can control your stress properly, there can be many benefits, including a long life.
Researchers have found a new form of stress called chromatin (染色质) stress, which can result in a response in cells that leads to a longer life.But the research was done in yeast (酵母)．__4__
So how do you know whether stress is healthy or not？It’s hard to say, but ignoring it by sitting in front of the TV or drinking wine doesn’t make any sense.__5__ Getting quality sleep, exercising, deep breathing and spending time with friends are all active ways to deal with stress.
A．Chocolate has a very strong anti－stress function.
B．The real way to reduce stress is to actively handle it.
C．So the key is keeping stress limited to a proper range.
D．But what’s not often talked about is that some stress is beneficial. E．Researchers continued examining its long and short－term influences.
F．Such stress is able to push you just to the level of best performances.
G．If it has the same response in humans, it could lead to new treatments in the aging process.
【语篇解读】语篇类型是说明文，主题语境是人与自我之生活与学习。人们常常听说压力不利于我们的身心健康，但最近的研究发现，适度的压力益处良多。1．D[根据空前内容与空后内容表达的观点相反可推知，D项应与上文形成转折，为下文提出相反观点做铺垫，故D项“但人们不常谈论的是适度的压力是有益的”符合语境。]
2．F[根据空后例子可知，本段主要介绍了在适当的压力下，人们的表现更好，故F项“这样的压力会促使你表现出自己的最佳水平”作为本段主旨句，符合语境。]
3．C[联系上文可在，适度的压力会促使你表现出自己的最佳水平，但如果这些压力不断持续，就会产生消极的结果，故C项“所以关键是把压力限制在一个适当的范围内”指出了问题的关键，符合语境，且为下文提出的“如果你能够恰当地控制压力会有很多好处”做铺垫。]
4．G[根据空前的But the research was done in yeast.可知，G项“如果同样的反应发生在人类的细胞上，便可以在人的老化过程中提供一些新的治疗方法”是对上文的进一步补充，符合语境。]
5．B[根据上文可知，选择忽视压力是无济于事的，故B项“减少压力的真正方法是积极地解决它”承接上文提出正确处理压力的方式，符合语境，且为下文提出具体的处理方式做铺垫。]
Ⅴ.语法填空
Tobacco (烟草) use among U．S. adults has been 1.____________ the decrease for some time.Today, 2.____________ (rough) 15 in 100 Americans over the age of 18 smoke regularly.And there is a 3.____________ (possible) that the number will keep falling.This, of course, is encouraging news for public health officials.But for farmers
4.____________ livelihood depends on people buying smokes, it is a problem. However, as a new study from researchers at Michigan Technological University
5.____________ (suggest), tobacco farmers will be better off giving up agriculture and harvesting the sun https://www.doczj.com/doc/0715230689.html,rge solar farms require large acres of land, sometimes
6.____________ (prevent) agricultural activities.
The field－to－solar farm change will help decrease the number of preventable deaths caused by tobacco use while also increasing clean energy production.And rising prices of electricity will be 7.____________ attraction to landowners, who could bring in more money than they would get through harvesting the cash crop (经济作物) 8.____________ (use) to produce a box of cigarettes (香烟)．
Local state governments are encouraged 9.____________ (get) involved and help tobacco farmers make the change, given that the cost of developing a solar system is usually high.With the 10.____________ (finance) support, landowners will be more likely to take action.
【语篇解读】语篇类型是说明文，主题语境是人与自然之自然生态。将用来种植烟草的土地建设成太阳能农场，这样不仅可以减少吸烟对人们健康的伤害，还可以获得更多的清洁能源。
1．on[on the decrease意为“在减少”。]
2．roughly[空白处所填词在句中作状语，故用rough的副词形式。] 3．possibility。[根据空前a可知，此处应用possible的名词形式。]
4．whose[根据句子结构可知，该空应填定语从句的关系词，先行词是farmers，关系词在定语从句中作定语，故填whose。]
5．suggests[此处描述的是调查结果这一客观事实，故用一般现在时；且主语a new study为单数，故填suggests。]
6．preventing[此处为现在分词作结果状语。]
7．an[此处用不定冠词表泛指，且空后attraction以元音音素开头，故填an。] 8．used[此处为过去分词作后置定语。]
9．to get[encourage sb to do sth意为“鼓励某人做某事”。]
10．financial[空白处所填词在句中修饰support，故应用finance的形容词形式。]
数列 1．1数列的概念 预习课本P3～6，思考并完成以下问题 (1)什么是数列？数列的项指什么？ (2)数列的一般表示形式是什么？ (3)按项数的多少，数列可分为哪两类？ (4)数列的通项公式是什么？数列的通项公式与函数解析式有什么关系？ [新知初探] 1．数列的概念 (1)定义：按一定次序排列的一列数叫作数列． (2)项：数列中的每一个数叫作这个数列的项． (3)数列的表示：数列的一般形式可以写成a1，a2，a3，…，a n…，简记为数列{a n}．数列的第1项a1，也称首项；a n是数列的第n项，也叫数列的通项． [点睛] (1)数列的定义中要把握两个关键词：“一定次序”与“一列数”．也就是说构成数列的元素是“数”，并且这些数是按照“一定次序”排列的，即确定的数在确定的位置． (2)项a n与序号n是不同的，数列的项是这个数列中的一个确定的数，而序号是指项在数列中的位次． (3){a n}与a n是不同概念：{a n}表示数列a1，a2，a3，…，a n，…；而a n表示数列{a n}中的第n 项． 2．数列的分类 项数有限的数列叫作有穷数列，项数无限的数列叫作无穷数列．
3．数列的通项公式 如果数列{a n }的第n 项a n 与n 之间的函数关系可以用一个式子表示成a n ＝f (n )，那么这个式子叫作数列{a n }的通项公式． [点睛] (1)数列的通项公式实际上是一个以正整数集N ＋或它的有限子集{1,2,3，…，n }为定义域的函数解析式． (2)同所有的函数关系不一定都有解析式一样，并不是所有的数列都有通项公式． 4．数列的表示方法 数列的表示方法一般有三种：列表法、图像法、解析法． [小试身手] 1．判断下列结论是否正确．(正确的打“√”，错误的打“×”) (1)同一数列的任意两项均不可能相同．( ) (2)数列－1,0,1与数列1,0，－1是同一个数列．( ) (3)数列中的每一项都与它的序号有关．( ) 答案：(1)× (2)× (3)√ 2．已知数列{a n }的通项公式为a n ＝1－(－1)n ＋1 2，则该数列的前4项依次为( ) A ．1,0,1,0 B ．0,1,0,1 C.12，0，1 2 ，0 D ．2,0,2,0 解析：选B 把n ＝1,2,3,4分别代入a n ＝1－(－1)n ＋ 12中，依次得到0,1,0,1. 3．已知数列{a n }中，a n ＝2n ＋1，那么a 2n ＝( ) A ．2n ＋1 B ．4n －1 C ．4n ＋1 D ．4n 解析：选C ∵a n ＝2n ＋1，∴a 2n ＝2(2n )＋1＝4n ＋1. 4．数列1,3,6,10，x,21，…中，x 的值是( ) A ．12 B ．13 C ．15 D ．16 解析：选C ∵3－1＝2,6－3＝3,10－6＝4， ∴? ???? x －10＝5，21－x ＝6，∴x ＝15. [典例] (1){0,1,2,3,4}；(2)0,1,2,3；(3)0,1,2,3,4，…； (4)1，－1,1，－1,1，－1，…；(5)6,6,6,6,6. [解] (1)是集合，不是数列；
Learning to learn assessment /??sesm?nt/ n.评估 self-assessment n.自我评估 strength /stre?θ/ n..长处，优势 weakness /?wi:knis/ n. 弱点，缺陷 gain /ɡein/ vt. 获得,增加appropriately / ??pr?uprieitli/ adv.适当地 passive / ?p?siv/ adj.被动的,消极的 phrase / freiz / n.短语,词组concentrate / ?k?ns?ntreit / vi.集中(思想、注意力等) previous / ?pri:vi?s / adj.以前的,过去的 positive / ?p?zitiv/ adj.积极的 associate / ??s?u?ieit/ vt. 联想,联系 mental / ?mentl/ adj.内心的,精神病的 lawyer / ?l?:j?/ n.律师senior / ?si:nj?/ adj.高级的 senior high 高中 physicist / ?fizisist/ n.物理学家 Unit 13 Warm-up beard / bi?d/ n.胡须
*blond / bl ?nd/ adj.淡黄色 的,毛发及皮肤浅色的 sunglass / ?s?n?gl?s/ n.墨镜 uniform / ?ju:nif?:m/ n.制服 moustache /m?s?tɑ:?/ n.长在嘴唇上的小胡子 heel / hi:l/ n.鞋跟 sleeve / sli:v/ n.衣服袖子facial / ?fe???l/ adj.面部的 expression / iks?pre??n/ n.表情,词语 connection / k??nek??n/ n.联系,连接 chain /t?ein/ n.链条,一连串的事物Lesson 1 aircraft / ???krɑ:ft / n.飞机,航空器 emergency / i?m?:d??nsi/ n.紧急情况 pray / prei/ vt..& vi.祈祷,祷告 gifted / ?g?ft?d/ adj.有天赋的 accurately / ??kjur?tl?/ adv.精确地,准确地 draw up 起草 description /dis?krip??n/ n.描述,形容 academic/??k??demik/ adj.学术的 predict / pri?dikt/ vt.预言,
必修5期末综合测试卷 一、选择题：本大题共有10小题，每小题5分，共50分． 1．在数列{}n a 中，122,211=-=+n n a a a ，则101a 的值为（ ） A ．49 B ．50 C ．51 D ．52 2．设x >0,y >0,y x y x a +++=1,y y x x b +++=11，a 与b 的大小关系 （） A ．a >b B ．a 0,,252645342=++a a a a a a 那么53a a +=（） A.5 B.10 C.15 D.20 4．x 、y >0,x ＋y =1,且y x + ≤a 恒成立,则a 的最小值为（） A 2C ．2D ．2 5．已知在△ABC 中，sin A ∶sin B ∶sin C ＝3∶5∶7，那么这个三角形的最大角是( ) A ．135° B ．90°C ．120° D ．150 6．设a 、a ＋1、a ＋2为钝角三角形的边，则a 的取值范围是（ ） A 0＜a ＜3B3＜a ＜4 C1＜a ＜3 D4＜a ＜6 7．数列Λ,16 1 4 ,813,412,211前n 项的和为（ ） A ．22 12n n n ++ B ．12212+++-n n n C ．22 12n n n ++- D ．2 2121 n n n -+- +
8．已知不等式250ax x b -+>的解集是{|32}x x -<<-，则不等式250bx x a -+>的解 是（） A 32x x <->-或 B 12x <- 或13 x >- C 11 23 x - <<-D 32x -<<- 9．目标函数y x z +=2，变量y x ,满足?? ? ??≥<+≤+-125530 34x y x y x ，则有 （） A ．3,12min max ==z z B ．,12max =z z 无最小值 C ．z z ,3min =无最大值 D ．z 既无最大值，也无最小值 10．等差数列{}n a ,{}n b 的前n 项和分别为n S ,n T ,若 231n n S n T n =+,则n n a b =（） A 23B 2131n n --C 2131n n ++D 21 34 n n -+ 二、填空题：共5小题，每小题5分，共25分． 11．若x>0，y>0，且 19 1=+y x ，则x+y 的最小值是___________ 12.不等式组6003x y x y x -+≥?? +≥??≤? 表示的平面区域的面积是 13．已知数列{}n a 中，1a ＝－1，1+n a ·n a ＝n n a a -+1，则数列通项n a ＝___________ 14．ΔABC 中，若C A C B A sin sin sin sin sin 2 22=+-那么角B=___________ 15．若方程x x a a 2 2 220-+-=lg()有一个正根和一个负根，则实数a 的取值范围是_________________ 三、解答题：本大题共6小题，共75分。解答应写出文字说明，或演算步骤。 16．（本小题满分12分） 如图，在四边形ABCD 中，已知AD CD ，AD =10，AB =14，BDA =60，BCD =135. 求BC 的长. C D
高中英语学习材料 （灿若寒星*制作整理） 课时作业(五)Interviews & Nine to Five Ⅰ.单词拼写 1．It is ________(违法的)to sell tobacco to someone under 16 in the USA. 2．________(牛)give milk and meat；sheep give meat. 3．There are still a lot of problems which need to be ________(克服)． 4．I remembered a real story the ________(片刻)I finished the film. 5．The English language is________(不断地)changing. 6．I made an________(约见)with my dentist this afternoon. 7．He was still________(犹豫)over whether to leave or not. 8．The generals must understand that winning a ________(战役)is only temporary. 9．Our trade is conducted on the________(基础)of quality. 10．Tanzania is a country________(投入)to building socialism in the long term. Ⅱ.单项填空 1．She________before picking up the phone because she didn't know how to refuse the invitation. A．wondered B．hesitated C．determined D．charged 2．(2013·长春高二质检)The beauty of Hangzhou is________words can describe. A．much than B．more than C．only D．no more than 3．He________about his job but said little about his family during our conversation. A．went detail B．set into detail C．went into details D．set details 4．She said to me，“I'll tell you the result of the match ________I know it.” A．after B．because C．the instant D．though 5．Lin Dan had practised playing badminton very hard before the Beijing Olympic Games，and it ________.His dream of winning a gold medal in Beijing came true.
高中数学学习材料 （灿若寒星 精心整理制作） 必修五模块测试卷 （150分，120分钟） 一、选择题(每题5分，共60分） 1.在△ABC 中，a ，b ，c 分别是角A ，B ，C 的对边，且cos 2 2A ＝c c b 2+，则△ABC 是( ) A.直角三角形 B.等腰三角形或直角三角形 C.等边三角形 D.等腰直角三角形 2.在等比数列{a n }中，如果a 1＋a 2＝40，a 3＋a 4＝60，那么a 7＋a 8等于( ) A.135 B.100 C.95 D.80 3.在△ABC 中，角A ，B ，C 所对的边分别为a ，b ，c ，且(3b －c )cos A ＝a cos C ，则cos A 的值等于( ) A. 23 B. 33 C. 43 D. 6 3 4.〈日照模拟〉已知等比数列{a n }的前n 项和S n ＝t 2 5 -?n － 5 1 ，则实数t 的值为( ) A.4 B.5 C. 54 D. 5 1 5.某人向正东方向走x km 后，向右转150°，然后朝新方向走3 km ，结果他离出发点恰好是3 km ，那么x 的值为( ) A.3 B.23 C.3或23 D.3 6.设{a n }为各项均是正数的等比数列，S n 为{a n }的前n 项和，则( ) A. 44S a =66S a B. 44S a ＞66S a C. 44S a ＜66S a D. 44S a ≤6 6S a 7.已知数列{a n }的首项为1，并且对任意n ∈N +都有a n >0.设其前n 项和为S n ，若以(a n ，S n )(n ∈N +)为坐标的点在曲线y ＝ 2 1 x (x ＋1)上运动，则数列{a n }的通项公式为( ) A.a n ＝n 2＋1 B.a n ＝n 2 C.a n ＝n ＋1 D.a n ＝n
必修5知识点 第一章 解三角形 1、正弦定理：在C ?AB 中，a 、b 、c 分别为角A 、B 、C 的对边，R 为C ?AB 的外接圆的 半径，则有 2sin sin sin a b c R C ===A B ． 2、正弦定理的变形公式：①2sin a R =A ，2sin b R =B ，2sin c R C =； ②sin 2a R A =，sin 2b R B =，sin 2c C R =； ③::sin :sin :sin a b c C =A B ； ④sin sin sin sin sin sin a b c a b c C C ++===A +B +A B ． 3、三角形面积公式：111 sin sin sin 222 C S bc ab C ac ?AB =A ==B ． 4、余弦定理：在C ?AB 中，有2222cos a b c bc =+-A ，2222cos b a c ac =+-B ， 2222cos c a b ab C =+-． 5、余弦定理的推论：222cos 2b c a bc +-A =，222cos 2a c b ac +-B =，222 cos 2a b c C ab +-=． 6、设a 、b 、c 是C ?AB 的角A 、B 、C 的对边，则：①若222a b c +=，则90C = ； ②若222a b c +>，则90C < ；③若222a b c +<，则90C > ． —1—
第二章 数列 7、数列：按照一定顺序排列着的一列数． 8、数列的项：数列中的每一个数． 9、有穷数列：项数有限的数列． 10、无穷数列：项数无限的数列． 11、递增数列：从第2项起，每一项都不小于它的前一项的数列． 12、递减数列：从第2项起，每一项都不大于它的前一项的数列． 13、常数列：各项相等的数列． 14、摆动数列：从第2项起，有些项大于它的前一项，有些项小于它的前一项的数列． 15、数列的通项公式：表示数列{}n a 的第n 项与序号n 之间的关系的公式． 16、数列的递推公式：表示任一项n a 与它的前一项1n a -（或前几项）间的关系的公式． 17、如果一个数列从第2项起，每一项与它的前一项的差等于同一个常数，则这个数列称为等差数列，这个常数称为等差数列的公差． 18、由三个数a ，A ，b 组成的等差数列可以看成最简单的等差数列，则A 称为a 与b 的等差 中项．若2 a c b +=，则称b 为a 与 c 的等差中项． 19、若等差数列 {}n a 的首项是1 a ，公差是d ，则()11n a a n d =+-． 20、通项公式的变形：①()n m a a n m d =+-；②()11n a a n d =--；③1 1 n a a d n -=-； ④1 1n a a n d -=+；⑤n m a a d n m -=-． 21、若{}n a 是等差数列，且m n p q +=+（m 、n 、p 、*q ∈N ），则m n p q a a a a +=+；若{} n a 是等差数列，且2n p q =+（n 、p 、*q ∈N ），则2n p q a a a =+． —2—
1 / 5 UNIT 13 1. lie in在于 2. make sense有意义 make sense of理解 3. talk sb into / out of doing sth 说服某人做/不做某事 4. sth come to mind出现在脑海中 5. be mistaken in doing sth错误的做某事 6. there is little / no doubtthat毫无疑问 There is some doube whether/ if有疑问 I doubt whether / if我怀疑 I don't doubt that确信 without doubt毫无疑问 7. have a lot / much to do with和…有很大关系 have nothing to do woth和…没用关系 8. in terms of就…来说 In the long term从长远观点看 In the short term从眼前观点看 9. recognize…as…把…看做… 10. as +adj.原级，if not +比较级than 即使不比…,至少…. 2 / 5 11. be accused of = be charged with被控告
12. glare at怒目注视stare at凝视 glance at瞥了一眼at first glance初一看13. leave sth behind忘记带 leave sth sp.把某物忘在某地 14. bring up养育bring about引起，导致bring forward提出bring forth产生 15.figure out计算出，推敲出 16. make comments on = comment on评论 17. argue with sb about sth和某人争论某事 18. be devoted to忠心 devote….to….献身于，专心于 19. consider doing sth考虑做某事consider…as认为… UNIT 14 1.set an example to sb给某人树立榜样take sth as an example以…为例 2.take charge of掌管，负责 be in charge of掌管，负责 be in the charge of在。。。的负责下 free of charge免费 3 / 5 3.consult sb about sth向某人请教某事
2017-2018学年北师大版高中数学 必修五全册同步习题 目录 第一章数列1.1数列1.1.1习题 第一章数列1.1数列1.1.2习题 第一章数列1.2等差数列1.2.1.1习题 第一章数列1.2等差数列1.2.1.2习题 第一章数列1.2等差数列1.2.2.1习题 第一章数列1.2等差数列1.2.2.2习题 第一章数列1.3等比数列1.3.1.1习题 第一章数列1.3等比数列1.3.1.2习题 第一章数列1.3等比数列1.3.2习题 第一章数列1.4数列在日常经济生活中的应用习题 第二章解三角形2.1正弦定理与余弦定理2.1.1习题 第二章解三角形2.1正弦定理与余弦定理2.1.2习题 第二章解三角形2.2三角形中的几何计算习题 第二章解三角形2.3解三角形的实际应用举例习题 第三章不等式3.1不等关系习题 第三章不等式3.2一元二次不等式3.2.1习题 第三章不等式3.2一元二次不等式3.2.2习题
第三章不等式3.3基本不等式3.3.1习题第三章不等式3.3基本不等式3.3.2习题第三章不等式3.4简单线性规划3.4.1习题第三章不等式3.4简单线性规划3.4.2习题第三章不等式3.4简单线性规划3.4.3习题
1.1数列的概念 课后篇巩固探究 A组 1.将正整数的前5个数作如下排列:①1,2,3,4,5;②5,4,3,2,1;③2,1,5,3,4;④4,1,5,3, 2. 则可以称为数列的是() A.① B.①② C.①②③D.①②③④ 解析:4个都构成数列. 答案:D 2.已知数列{a n}的通项公式为a n=,则该数列的前4项依次为() A.1,0,1,0 B.0,1,0,1 C.,0,,0 D.2,0,2,0 解析:把n=1,2,3,4分别代入a n=中,依次得到0,1,0,1. 答案:B 3.数列1,,…的一个通项公式是() A.a n= B.a n= C.a n= D.a n= 解析:1=12,4=22,9=32,16=42,1=231-1,3=232-1,5=233-1,7=234-1,故a n=. 答案:A
必修五测习题 一、单项选择题(一题5分) 1．数列{a n }中，如果n a ＝3n (n ＝1，2，3，…) ，那么这个数列 是( )． A ．公差为2的等差数列 B ．公差为3的等差数列 C ．首项为3的等比数列 D ．首项为1的等比数列 2．等差数列{a n }中，a 2＋a 6＝8，a 3＋a 4＝3，那么它的公差是( )．A ．4 B ．5 C ．6 D ．7 3．△ABC 中，∠A ，∠B ，∠C 所对的边分别为a ，b ，c ．若a ＝3，b ＝4，∠C ＝60°，则c 的值等于( )． A ．5 B ．13 C ．13 D ．37 4．数列{a n }满足a 1＝1，a n ＋1＝2a n ＋1(n ∈N ＋)，那么a 4的值为( )．A ．4 B ．8 C ．15 D ．31 5．△ABC 中，如果A a tan ＝B b tan ＝C c tan ，那么△ABC 是( )． A ．直角三角形 B ．等边三角形 C ．等腰直角三角形 D ．钝角三角形 6．如果a ＞b ＞0，t ＞0，设M ＝b a ，N ＝t b t a ++，那么( )． A ．M ＞N B ．M ＜N C ．M ＝N D ．M 与N 的大小关系随t 的变化而变化 7．如果{a n }为递增数列，则{a n }的通项公式可以为( )．
A ．a n ＝－2n ＋3 B ．a n ＝－n 2－3n ＋1 C ．a n ＝n 21 D ．a n ＝1＋log 2 n 8．如果a ＜b ＜0，那么( )． A ．a －b ＞0 B ．ac ＜bc C ．a 1 ＞b 1 D ．a 2＜b 2 9．等差数列{a n }中，已知a 1＝3 1，a 2＋a 5＝4，a n ＝33，则n 的值为( )．A ．50 B ．49 C ．48 D ．47 10．在三角形ABC 中，如果()()3a b c b c a bc +++-=，那么A 等 于 （ ）A ．030 B ．060 C ．0120 D ．0 150 11．若{a n }是等差数列，首项a 1＞0，a 4＋a 5＞0，a 4·a 5＜0，则使前n 项和S n ＞0成立的最大自然数n 的值为( )． A ．4 B ．5 C ．7 D ．8 12．已知数列{a n }的前n 项和S n ＝n 2－9n ，第k 项满足5＜a k ＜8，则k ＝( )．A ．9 B ．8 C ．7 D ．6 二、填空题（一题5分） 13.对于实数c b a ,,中，下列命题正确的是______ ：①22,bc ac b a >>则若； ②b a bc ac >>则若,22； ③2 2 ,0b ab a b a >><<则若； ④ b a b a 1 1,0<<<则若； ⑤b a a b b a ><<则 若,0； ⑥b a b a ><<则若,0； ⑦b c b a c a b a c ->->>>则若,0； ⑧11,a b a b >>若，则0,0a b ><。
Uint13 Lesson 1参考教案 Lesson 1 EQ: IQ Teaching Objectives: To be able to talk about EQ and IQ To practise using Past Participles with various functions in sentences Teaching difficulties: To practise using Past Participles with various functions in sentences Teaching Aids: computer Teaching procedures: Ⅰ. Warming up T: Today we study lesson 1 EQ: IQ. What does EQ stand for? S: T: yes. Emotional Quotient. It tells you how well you use your smartness. Do this test to find out your EQ. Then compare and discuss your results with a partner. Do the exercise1. T: How many points do you get in the EQ test? S: T: Now we know the meaning of EQ. we often hear someone refer to IQ, so we are familiar with IQ. What does IQ stand for? S: T: Intelligence Quotient. Tells you how well you use your smartness. Which do you think is more important? EQ or IQ? Why?
本试卷分第I 卷（选择题）和第II 卷（非选择题）两部分 高二数学必修五第一章试题 第I 卷（选择题，共90分） 注意事项： 1．答第I 卷前，考生务必将答题卡及第II 卷密封线内项目填写清楚。 2．第I 卷每小题选出答案后，用2B 铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再涂其他答案，答案不能答在试题纸上。 3．非选择题答案必须写在答题卡各题目指定区域内相应位置上，不按以上要求作答的答案无效。考生必须保持答题卡的整洁， 一、选择题：本大题共有12小题，每小题5分，共60分．在每小题给出的四个选项中，有且只有一项是符合题目要求的． 1， 的一个通项公式是 A. n a = B. n a = C. n a = D. n a =2．已知数列{}n a 的首项11a =，且()1212n n a a n -=+≥，则5a 为 A ．7 B ．15 C.30 D ．31 3.下列各组数能组成等比数列的是 A. 111,,369 B. lg3,lg9,lg 27 C. 6,8,10 D. 3,- 4. 等差数列{}n a 的前m 项的和是30，前2m 项的和是100，则它的前3m 项的和是 A ．130 B ．170 C ．210 D ．260 5.若{}n a 是等比数列,前n 项和21n n S =-,则2222 123n a a a a ++++= A.2(21) n - B.2 1(21)3 n - C.41n - D.1(41)3 n - 6.各项为正数的等比数列{}n a ，478a a ?=，则1012222log log log a a a +++= A ．5 B ．10 C ．15 D ．20 7．已知等差数列{a n }的公差d ≠0,若a 5、a 9、a 15成等比数列,那么公比为 (A) (B) (C) (D) 8.在等差数列{}n a 和{}n b 中，125a =，175b =，100100100a b +=，则数列{}n n a b +的前100项和为 A. 0 B. 100 C. 1000 D. 10000 9.已知等比数列{}n a 的通项公式为123n n a -=?，则由此数列的偶数项所组成的新数列的前n 项和n S =
翻译 1.毫无疑问，汤姆会获得一等奖 _______________________________________________________________________________ 2.据说这本书被翻译成了多种语言。 _______________________________________________________________________________ 3.第一次见到她，我就知道我们会成为好朋友。 _______________________________________________________________________________ 4.这个男人被控诉杀妻。 _______________________________________________________________________________ 5.看到那张滑稽的照片，这个男人忍不住大笑。 Looking at the funny photo, the man _________________________________________________ 6.这个乐队是由当地音乐家组成的。 The band ____________________________ the local musicians. 7.现如今越来越多的人花太多的时间上网。 _______________________________________________________________________________ 8.我一得知最终结果我就告诉你。 _______________________________________________________________________________ 9.我们必须抓住机会去提升自己。________________________________________________ 10.只要你努力，你就会成功。____________________________________________________ 11.带把伞以防下雨。____________________________________________________________ 12.要跟上电脑的发展技术不容易。 It’s hard to ________________________________________ the changes in computer technology. 13.我想申请这个职位。________________________________________________________ 14.由于天气不好，运动会推迟了。 The sports meeting was put off _____________________________________________________ 15.他正要离开办公室，这时电话响了。 He ______________________________________ when the telephone rang. 16.我强烈怀疑他撒谎了。 I strongly suspected_______________________________________________________________ 17.如果我是你，我就会告诉他真相。______________________________________________ 18.要不是你的帮忙，我就不能准时完成任务。 But for_________________________________________________________________________ 19.小公司能对市场变化做出快速反应。 Small companies_______________________________________________ changes in market. 20.他拒绝了我的邀请。_________________________________________________________ 21.昨天老师逮住他上课睡觉。___________________________________________________ 22.由于缺乏食物，许多动物都死了。 Many animals died ______________________________________________________________ 23.每个人都有权利接受良好教育。 ______________________________________________________________________________ 24.这件事情值得考虑。 ______________________________________________________________________________ 25.令我欣慰的是，没有人受伤。 _______________________________________________________________________________
高中数学必修五试卷北 师大版 IMB standardization office【IMB 5AB- IMBK 08- IMB 2C】
必修五测习题 一、单项选择题(一题5分) 1．数列{a n }中，如果n a ＝3n (n ＝1，2，3，…)，那么这个数列是()． A ．公差为2的等差数列 B ．公差为3的等差数列 C ．首项为3的等比数列 D ．首项为1的等比数列 2．等差数列{a n }中，a 2＋a 6＝8，a 3＋a 4＝3，那么它的公差是()．A ．4 B ．5 C ．6 D ．7 3．△ABC 中，∠A ，∠B ，∠C 所对的边分别为a ，b ，c ．若a ＝3，b ＝4，∠C ＝60°，则c 的值等于()． A ．5 B ．13 C ．13 D ．37 4．数列{a n }满足a 1＝1，a n ＋1＝2a n ＋1(n ∈N ＋)，那么a 4的值为()．A ．4 B ．8 C ．15 D ．31 5．△ABC 中，如果A a tan ＝B b tan ＝C c tan ，那么△ABC 是()． A ．直角三角形 B ．等边三角形 C ．等腰直角三角形 D ．钝角三角形 6．如果a ＞b ＞0，t ＞0，设M ＝b a ，N ＝t b t a ++，那么()． A ．M ＞N B ．M ＜N C ．M ＝N D ．M 与N 的大小关系随t 的变化而变化 7．如果{a n }为递增数列，则{a n }的通项公式可以为()．
A ．a n ＝－2n ＋3 B ．a n ＝－n 2－3n ＋1 C ．a n ＝n 21 D ．a n ＝1＋log 2n 8．如果a ＜b ＜0，那么()． A ．a －b ＞0 B ．ac ＜bc C ．a 1 ＞b 1 D ．a 2＜b 2 9．等差数列{a n }中，已知a 1＝3 1，a 2＋a 5＝4，a n ＝33，则n 的值为()．A ．50 B ．49 C ．48 D ．47 10．在三角形ABC 中，如果()()3a b c b c a bc +++-=，那么A 等于（） A ．030 B ．060 C ．0120 D ．0 150 11．若{a n }是等差数列，首项a 1＞0，a 4＋a 5＞0，a 4·a 5＜0，则使前n 项和S n ＞0成立的最大自然数n 的值为()． A ．4 B ．5 C ．7 D ．8 12．已知数列{a n }的前n 项和S n ＝n 2－9n ，第k 项满足5＜a k ＜8，则k ＝()．A ．9 B ．8 C ．7 D ．6 二、填空题（一题5分） 13.对于实数c b a ,,中，下列命题正确的是______ ：①22,bc ac b a >>则若；②b a bc ac >>则若,22； ③22,0b ab a b a >><<则若；④b a b a 11 ,0<<<则若； ⑤b a a b b a ><<则 若,0；⑥b a b a ><<则若,0； ⑦b c b a c a b a c ->->>>则 若,0；⑧ 11,a b a b >>若，则0,0a b ><。
综合过关检测 第一部分听力(共两节,满分30分) 第一节(共5小题;每小题1.5分,满分7.5分) 听下面5段对话。每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。 1.What does the man usually do on Sunday afternoon? A.He goes to church. B.He reads the newspaper. C.He works in the garden. 答案:C 2.Where does the woman want to go? A.To the supermarket. B.To the police station. C.To the city library. 答案:C 3.Which train will the woman catch? A.The 10:50 one. B.The 10:20 one. C.The 10:15 one. 答案:B 4.What does the woman think they should do? A.Play tennis.
B.Go swimming. C.Do some cleaning. 答案:C 5.How does the man feel? A.Angry. B.Sorry. C.Happy. 答案:B 第二节(共15小题;每小题1.5分,满分22.5分) 听下面5段对话或独白。每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。听每段对话或独白前,你将有时间阅读各个小题,每小题5秒钟;听完后,各小题将给出5秒钟的作答时间。每段对话或独白读两遍。 听第6段材料,回答第6、7题。 6.Which of the following does the woman want to learn? A.German. B.English. C.Chinese. 答案:B 7.When will the two speakers start the language learning? A.Today. B.Tomorrow. C.Next Thursday. 答案:C 听第7段材料,回答第8、9题。
北师大版数学必修五教材分析 2015届高三一轮复习已经进入中期，刚刚复习完不等式、数列及解三角形部分，在此将所涉及的教材必修五进行简要的分析。本册教材包含：解三角形、数列、不等式三章内容。具体课时分配如下: 第一章解三角形 8 课时 第二章数列 12课时 第三章不等式 16课时 本模块的地位和内容： 解三角形在数学中有一定的应用，同时有利于发展学生的推理能力和运算能力。在本模中，学生该在已有的知识的基础上，通过多任意三角形边角关系的探究，发展并掌握三角形中的变长与角度之间的数量关系，并认识到运用它们可以理解一些与测量和几何计算有关的实际问题。 数列作为一种特殊的函数，是反映自然规律的基本数学模型。在本模块中，学生将通过对日常生活中大量实际问题的分析，建立等差数列和等比数列这两种数列模型，探索并掌握他们一些几门数量关系，感受这两种数列模型的管饭运用，并利用他们解决一些实际问题。 不等关系与相等关系都是客观事物的基本数量关系，是数学探究的重要内容。建立不等观念，处理不等式关系与处理等量问题是同样重要的。在本模块中，学生将通过具体情境，感受，在现实世界和
日常生活中存在着大量的不等关系，理解不等式（组）对于刻画不等式的意义和价值：掌握求解一元二次不等式的基本方法，并能解决一些实际问题；能用二元一次不等式组表示平面区域，并尝试解决一些简单的二元线性规划问题；认识基本不等式及其简单应用；体会不等式方程及函数之间的联系。 “解三角形”的主要内榕树介绍三角形的正，余弦定理，及其简单应用。旨在通过对任意三角形变与角之间的探索，掌握正弦定理，余弦定理，并能解决一些简单的三角形度量问题以及能够运用正弦定理，余弦定理等知识和方法解决一些与测量和几何计算有关的实际问题。 正弦定理，余弦定理，常作为解斜三角形的工具，有时也用于立体几何中的求三角形的边，角的计算中。在三角形中，常与三角函数的有关公式的相连联系，解决相关问题。另外，解三角形问题与知识综合，且在实际中应用广泛，因而是高考观察的一个热点，题型一般为选择题，填空题，也可能在中档解答题中出现。 数列的主要内容是数列的概念和表示，等差数列和等比数列的通项公式和前n项和公式。数列作为一个特殊函数，是反映骤然规律的基本数学模型， 教科书通过对日常生活中大量实际问题的分析，建立等差数列和等比数列这两种数列的模型，力求使学生在探索中掌握等差数列与等比数列有关的一些 基本数量关系，感受这两个数列模型的广泛运用，并利用它们解