高中英语必修五单词及语言点总结
单词总结
Unit 1 Great scientists
一。单词拼写(须用本单元的单词和词汇)
1. This new e _______________for the car works well.
2. She has a strong c_________________.
3. The farmers in this area had a good harvest last year thanks to the
s______________farming.
4. The doctor had my eyes e_____________for weakening.
5. The meeting c________________at eight o'clock.
6. They were d _______________ in their attempt(企图)to reach the top of the mountain.
7. The little brave girl e _________________ the crime(罪行)of the criminal(罪犯).
8. He was a____________________in the book.
9. He b ____________________ me for my negligence(疏忽大意).
10. I think you are too s_________________ on the boy.
11. He finished his work in a__________________(积极的) way.
12. We must try to _________________(分析)the causes of the strike.
13. He became____________________(狂热的) about classical music.
14. He has______________________(完成)the whole job already.
15. In the factory the workers______________(纺成线)wool into thread.
16. Be c_________________when you cross the street.
17. You should not r_________________the invitation from your old friend.
18. What is your v__________________on Chinese education?
19. The police are watching the man's m_________________secretly.
20. The class needs a s__________________teacher.
21. Kindness is one of the prime minister's __________________(特征).
22. Britain_________________(议定) a trade agreement with China.
23. Don't ________________(暴露) your skin to the sun or you will be burned.
24. The ________________(贵重的) culture relics will be on show in Guangzhou Art Museum in October.
25. The famous Korean play actor got an________(热情的) reception in Hong Kong.
26. The most important thing is not to admit ________________(失败)-
27. Water and salt are _____________(吸收) into our blood stream everyday.
28. If a doctor or a medical treatment c__________someone's illness, they make the
people well again.
29. A v_________________is a kind of germ that can cause disease.
30. If you a_____________something, you consider it carefully or use some methods in order to fully understand it.
二．短语翻译
1．蒸汽机_____________________
2．提出_____________________
3．得出结论____________________
4．也，另外___________________
5．将……和……连接起来______________________
6．对……严格的________________________
7．有意义_________________________
8．通向，导致_________________________
9．态度，观点________________________
10．继续工作__________________________
三。完成句子
1. 除了这些理由以外，他无话可说了
______________ ___________these reasons, he said nothing.
2. 我们的英语老师对我们要求严格。
Our English teacher_____________ __________ ___________us.
3．让我们一起去听来自北京大学的李教授的演讲
Let's _____________the lecture by professor Li from Beijing University.
4. 他的粗心大意的驾驶导致了这起严重的交通事故。
His careless driving _________ ____________the serious traffic accident.
5. 他捐赠食物和衣服给红十字会。
He _____________food and clothing __________the Red Cross.
Unit 2 The United Kingdom
一。单词拼写(须用本单元的单词和词汇)
1. The common interests u_________________the two countries.
2. The class ___________________of (组成)56 members.
3. Our class is d_______________into two groups during the discussion.
4. What he said in the meeting p______________________all of us.
5. The bad ______________(影响)of the flood is that no people are deard to swim in that river.
6. The c_______________of transportation in this area brings hope to this mountain village.
7. Her beautiful singing drew the a_____________of the professor.
8. The film"Hero"has much a________________for the youth.
9. The habit of c____________________stamps benifit him a lot.
10. The_________________(工业) area of this area made more pollution to the air compared with agricultural area.
11. If something is done for your c_____________, it is done in a way that is suitable or useful for you.
12. An a_____________is something that people can go for interest or enjoyment, for example a famous building.
13. A p_______________is a question, game or toy which you have to think about carefully in order to answer it correctly.
14. U______________is a particular type of clothing worn by all the members of a group or organization such as the police, the army, etc.
15. Most advertisements work through________________(暗示).
16. We are_____________(感到激动) to hear a wonderful piece of news that the people lived in the mainland can go to visit Taiwan in the near future.
17. The second Children's Palace of Guangzhou sits in _________________(极好
的)location by the side of Pearl River.
18. The government is__________(辩论) the new adjustment of Guangzhou's district.
19. Some parents considered that some of their children's friends to be a bad________________(影响) to their children.
20. There are plans to______________(建造) a new road bridge across the river to
ease the traffic problems in this area.
二．短语翻译
1．将……分成_____________________
2．英国国旗_________________________
3．省去；漏掉_______________________
4．令人吃惊的是____________________
5．脱离_________________________
三。完成句子
1. Why you debate this wonderful opportunity so carefully is a ______(困惑) to me.
2. The ________ _______ ________tigers (老虎保护工程)will be launched after the meeting.
3. She is good at ____________flowers(插花).
4. If you continue working like that, your body will________ _________(垮下来).
5. Their____________(婚礼) will__________ _____________(举行) in May.
6．这道数学题把小明给难住了，无论他怎么努力也无法计算出正确的答案.
This maths problem ___________Xiaoming. No matter how hard he tried, he couldn't _________ ___________ the right answe
7．世界上最著名的教堂之一西敏寺是英国的旅游胜地。
Westminster Abbey, ________is one of the most famous churches in the world, is the ___________ ______________ of Britain,
8．陈水扁想把台湾从中国分裂出去的企图永远不可能得逞。
Chen Shuibian's attempt to __________Taiwan ________ ___________China could not be achieved forever.
9．未来，地铁将会逐步取代公共汽车成为人们的主要交通工具。
The underground will_______ _______ _______ _______the bus to become the
main vehicle for the people in the future.
10．国际社会正在讨论关于如何惩治伊拉克前总统萨达姆(Sadamm)。
The international society ______ _________ ________ the punishment for the former Iraqi president Sadam.
11．初升的朝阳看起来很美但是西下的夕阳看起来更美。
The_________sun looks beautiful and the sun________ in the west looks even more beautiful.
12．十年以后他们第二次来广州，发现广州变化很大。
Ten years later they came to Guangzhou ______ _____ _____ ________ and found Guangzhou greatly changed.
13．小李环顾四周，发现有一个人正把手插入一个乘客的口袋里。
Xiao Li _________ _________and caught a man _________ his hand into the pocket of a passenger.
14．在我四周的范围内，除了沙漠以外没有任何的东西，只能看见一棵树。
For miles around me, there was nothing but a desert, with a single tree ______ _________.
15．在我们搬近新房子以前，我们准备(请人)安装电话。
Before we______ _______ the new house, we are going to get our telephone __________..
16. 我们没有必要再浪费时间讨论去哪儿度假了，因为计划已取消了.
There is ______ __________ that we'll waste time discussing where to go for our holiday, for the plan has been ____________.
17. 绍兴被人称作中国的威尼斯。
Shaoxing is __________ _____________ as China's "Venice".
18. 很使我感到高兴的是，父亲给我买了一台电脑作为生日礼物。
__________ to my joy, Father bought me a computer _______ a birthday gift
19. 托尼踢足球时，他的腿受伤了。
Tonny ________one of his legs _______when playing football.
20. 今天下午教室里竟然一个人也没有，真是奇怪。
_______ _______ __________that there shouldn't have been any student in the
classroom.
Unit 3 Life in the future
一。单词拼写(须用本单元的单词和词汇)
1. She r_____________me that I hadn't written to mother.
2. We have s____________experiences, but your end result is quite different.
3. Liu Huan is a w________________singer.
4. The t_________________of goods by air is very expensive.
5. There is no such car in the s___________________area.
6. As is known,it takes years to m________________a new language.
7. Why is the driver f___________________his lights at me?
8. The flowers died for 1________________of water.
9. Everyone who enters the chemical factory must wear a m_____________.
10. His head a_________________, which stopped him from going to the party.
11. It's said that she is a girl of e_______________beauty.
12. Good glasses can a____________________you to read.
13. I got this job through an employment a______________________.
14. The little boy s____________________along at his mother' s side.
15. This suggestion r___________________careful thought.
16. The teacher is in a bad m____________________today.
17. He has built an e_______________________house.
18. James can i__________________his father's speech perfectly.
19. The new plane goes at an a___________________speed.
20. You can't i_________________Jack living on the lonely island alone.
21. Your i__________of a person or thing is what you think they are like, usually after having seen or heard them.
21. A s__________is a place where people have come to live and have built homes.
23. Your p_______________things belong only to you, or may only be used by you.
24. If you describe something as e____________, you mean that it is very unusual or surprising.
25. We are______________(乐观的) that the mainland and Taiwan will unify in the
near future.
26. He can hardly find a job in the canteen, because he has had no ________________(先前的) experience of this kind of job.
27. All the passengers are______________(需要) to show their passports when they
leave the country.
28.After a big flood, thousands of volunteers went to Hunan to __________________(协助) in rebuilding the disaster area.
29. The government decided to explore the ____________(周围的) countryside to
build a new industrial park.
30. The people in Iraq lived a hard life, because it was _______(不断的) hit by war.
二．短语翻译
1．拿起，接受，继续________________________________
2．结果，由于……的结果_______________________________
3．缺乏，缺少_______________________________________
4．立刻，马上_________________________________________
5．横扫，掠过__________________________________________
6．寻找____________________________________________
7．帮助；援助____________________________________
8．光年_________________________________________
9．变成_______________________________________
10．以……为依据___________________________________
三。完成句子
1. Suddenly the driver began to ___________ _____________(加速)
2. His leaving ___________ ______________(增加了) our difficulty.
3. Who________ _______________(究竟) is the man you spoke to?
4. I __________seen him __________ _______________(不再).
5. We still need ____________ ___________(另外五个) students to finish the work.
6．餐厅里响起了那首动听的歌，它使我回想起我快乐的童年。
The fair-sounding song playing in the restaurant __________ me_______my happy childhood.
7．人只有鼓起勇气，告别海岸，才能发现新的海洋。
Man cannot ________new oceans unless he has ________ to lose sight of the shore.
8．拿起扫帚把地上的纸屑和碎玻璃打扫干净，行吗?
Get a broom and ______ ________the bits of paper and broken glasses on the floor, will you?
9．这本书会提供一些好的消息来源帮助你做出最好的选择。
This book will provide you some good source of information to ______ you _____ making the best choice.
10．一些公司把新闻媒体用作他们为自己的产品做广告的工具。
Some companies used the press as a vehicle for _____________ their products.
11．由于大雾天气的影响，今天广州新白云国际机场的全部航班都必须取消。
Today all flight at the New Baiyu International Airport of Guangzhou have to be cancelled, _____ _____ _______ _________foggy weather.
12．一项研究表明经历过南京大屠杀的人们仍然在焦虑和战争的痛苦记忆中扎。
A study shows that people who ______ __________ the massacre of Nanjing still struggle with anxiety and painful flashback from the war.
13．谁都不愿意别人怀疑自己的话。
One does not like to have his word ____________.
14．第一本为把英语作为外语教学用而写的教科书是在十六世纪出版的。
The first text book written for teaching English as a foreign language _______ __________ in the 16th century.
15．现在才去清理受到这么严重污染的河流可能已经太迟了。
Having suffered such heavy pollution already, it may be now too late to ______ __________ the river.
Unit 4 Making the news
一。单词拼写(须用本单元的单词和词汇)
1. After graduation he took an o______________as a teacher in the city.
2. The a______________offered by the manager is difficult for him to finish.
3. An expert is a man who is engaged in p______________ business.
4. All his c______________who work with him in the same factory are all ready to
help others.
5. You should c_____________on your work when you study.
6. In the__________(案子) of Ma Haitao, he was treated unfairly.
7. We also can a__________________knowledge during playing.
8. He hit me on the head with a ball d_____________which made me very angry.
9. He felt g________________after he stole some money from the old couple.
10. His________________(简练) introduction of the product got great interest of the people.
11. He worked as a e________________in that newspaper.
12. She graduated from English d__________________of Beijing University.
13. Don't just say almost, nearly... , what we need is a____________number.
14. My shoes are so dirty that they need to be P______________.
15. I can't understand your meaning, can you give me a little h____________.
16. Before marrying, they always made an a ___________ in that park.
17. If I've hurt your feelings, it was quite without_______________(有意).
18. Her father will never a_____________(同意) of her marriage to you.
19. I don't want a _______________(否定的) answer to my question.
20. In harvest time, he has to______________(雇佣) more people to work for him.
21. A p_____________is a type of job that required advanced education or training.
22. If you have an a__________with someone, you have arranged to see them at a
particular time, usually in connection with their work.
23. An i___________that you have is an idea or plan of what you are going to do.
24. Your o______________________is your job.
25. Industrial development is being_______________(集中) in the west of China.
26. He had to rewrite his essay, because his teacher said it needed some
___________________(润饰) in language.
27. The little boy cried_____________(故意地) to draw his mother's attention.
28. An __________(精确的) instrument is able to give you information that is
correct to a detailed level.
29. Some smoking and alcoholic drinks are an _________ (获得的) taste and are
not in born.
30. The busy mother feels really _________(内疚的) at forgetting her daughter's
birthday again.
二．短语翻译
1．全神贯注于_________________________________
2．因……指责或控告___________________________________
3. 为了(做……)_______________________________________
4．填(表)___________________________________________
5．依靠；依赖_________________________________________
6. 传递______________________________________________
7．开始工作________________________________________
8．最终；最后___________________________________________
9．从事于____________________________________________
10．被用在……上(中)____________________________________
三。完成句子
1. We should_____________(保卫) ourselves against the coming flood.
2. They found that cave__________________(意外地).
3. It's necessary for young people to receive_________ _________(正规教育)
4. They are all________ ____________that idea(反对).
5. You should concentrate yourselves on the class and avoid ________ ________.
6．消费者利益保护委员会的创立旨在保护顾客的权益，使其免受奸商的欺诈。
The Consumer Council exists to__________ the customers' right and interests ___________ unscrupulous traders.
7. 那个著名的教授被指控偷取学生的理念并将它们发表。
The famous professor has been __________ _________ stealing his student's ideas and publishing them.
8．政府今年所做的事情对所有的广州市民都很有利。
What the government has done this year will be of________ _______ all the citizens living in Guangzhou.
9．经理决定今年冬天公司的全体员工去安徽的黄山游玩。
The manager has decided all the _______ of the company will go on a ________ to the Yellow Mountain in Anhui province this winter.
10．那个女记者冒着生命的危险为凤凰卫视报道了伊拉克的情况。
The woman reporter ________ _______ _______ to cover the situation in Iraq for Phoenix TV.
11. 如果你想开一家餐馆，最好向Mary请教，她对这行的诀窍很清楚。
If you want to open a restaurant, you should ask Mary's advice. She knows all the __________of the trade.
12．我看到报纸上说失业情况有所改善，但事实上完全弄错了——失业率仍在上升。
I read in the newspaper that the____________figures had improved but it has got hold of the wrong end of the stick--unemployment is still ___________.
13．人类都有这样的一个天性，就是不到失去的时候都不懂得珍惜自己所拥有的东西.
Such is human nature that many people don't _______ the things they process until they have lost them.
14．他们刚赶到机场飞机就起飞了。
___________ had they got to the airport __________the plane took off.
15．只有当你掌握了良好的语法知识的时候，你才能写出正确的文章。
Only when you have acquired a good ________ of grammar can you write _______.
Unit 5 First aid
一. 单词拼写(须用本单元的单词和词汇)
1. The lung is an o________________and so is the heart.
2. He tried to kill himself by taking p_________________.
3. He has gone to the hospital for special t__________________.
4. I was only m_______________interested in the story I read in the newspaper.
5. Her ankle s_____________after the fall.
6. Her foot was very s_________________after the accident.
7. I can't s______________________toothpaste out of the tube.
8. What is the typical s______________________of SARS?
9. Would you like me to_________________your shirt for you?
10. She is suffring from a lung i___________________.
11. He (颁发)a silver cup to the winner.
12. Did you attend your uncle's wedding_____________________(仪式)
13. He is a_____________________(勇敢的) soldier.
14. The _______________(压力)of the water can turn this wheel.
15. We have to write an_________________(文章) about the film we saw yesterday.
16. You should have your own ____________________ (毛巾).
17. Have you worked out your ____________________ (方案)?
18. I saw an___________________(救护车) passing by.
19. I'm_____________________(自豪)of my son.
20. _______________________(祝贺)to you on your success!
21. An a________________ is a vehicle for taking people to and from hospital.
22. R_______________is energy, often in waves of heat or light that comes from a particular source.
23. A b_______________ is a long strip of cloth which is covered around a wounded part of someone's body to protect or support it.
24. If there is p________________on someone to do something, someone is trying to persuade them to do it.
25. An o______________is a part of your body that has particular purpose or function, for example your heart.
26. Fever is a _________________(征兆) of many illnesses.
27. The bell rang, the naughty boy ______________(挤) his book into his bag and went out of the classroom.
28. The streets in the centre of the city were___________(塞) up with traffic because of an accident.
29. The storm did a lot of ______________(毁坏) to the building and crops in Hunan province.
30. A bee has stung my hand and it is __________________(膨胀) up.
二．短语翻译
1．阻止(某人)做……___________________________
2．触感________________________________
3．挤出；榨出____________________________
4。在适当的位置______________________________
5．反复，多次____________________________
6．开展，执行___________________________________
7．找到___________________________________
8．许多，大量______________________________
9．自豪_________________________________
10．砍掉，砍伐____________________________
三。完成句子
1. He suddenly________ _________ __________ _______(昨晚他突然病了).
2. Sunglasses can_______ ________ ________ _________ the sun' s rays (保护我们的眼睛免受...... ).
3. You may __________ ______________(烫伤) by hot liquids.
4. These burns are not serious and they should______ ______ -______ ______
________ _______ ___________(一天之内就会好许多)。
5. First degree burns __________ ___________when they are pressed(变成白色).
参考答案：
Unit One
一。 1. engine 2. character 3. scientific 4. examined 5. concluded
6. defended
7. exposed
8. absorbed
9. blamed 10. severe
11. positive 12. analyse 13. enthusiastic 14. completed 15. spin 16. cautious
17. reject 18. view 19. movement 20. strict 21. characteristics 22.concluded
23. expose 24. valuable 25. enthusiastic 26.defeat 27. absorbed 28. cures
29. virus 30.analyse
二。1. steam engine 2. put forward 3. draw a conclusion 4. in addiction
5. link…to
6. be strict with
7.make sense
8. lead to
9. point of view
work on
三。 1. Apart from 2. is strict with 3. attend 4. led to 5. contributed to
Unit 2
一。1. united 2. consists 3. divided 4. puzzled 5. influence 6. convenience
7. attention 8. attraction 9. collecting 10. industrial 11. convenience
12. attraction 13. puzzle 14. uniform 15. suggestion 16. thrilled
17. splendid 18. debating 19.influence 20. constract
二。1. divide…into 2. The Union Jack 3. leave out 4. to one’s surprise
5. break away from
三。 1. puzzle 2. project of protecting 3. arranging 4. break down
5. wedding take place
6. puzzle ; work out
7. which; tourist attraction
8. break away from 9. take the place of 10. are debating about 11. rising; setting 12. for the second time 13. looked around; putting 14. in sight 15. moved to
; installed 16. no need; cancelled 17. referred to 18. Much; as
19. had hurt 20. It was strange
Unit 3.
一。 1. reminded 2. similar 3. well-known 4. transportation 5. surrounding 6. master 7. flashing 8. lack 9. mask 10. ached 11. extraordinary 12. assist 13. agency 14. skipped 15. requires 16. mood 17. enormous 18. imitate 19. amusing 20. imagine 21. impression 22. settlement 23. private
24. extraordinary 25. optimistic 26. previous 28. assist 29. surrounding
30.constantly
二。 1. take up 2. as a result of 3. lack of 4. in no way 5. sweep up
6. search for
7. assist in
8. light year
9. change …into 10. base on
三。1. speed up 2. added to 3. on earth 4. haven’t any more 5. five; more 6. reminded; of 7.discover ; courage 8. sweep up 9. assist in 10. advertising 11. as a result of 12. went through 13. doubted 14. came out 15. clean up
Unit 4
一。 1. occupation 2. assignment 3. professional 4. colleague 5. concentrate 6. case 7. acquire 8. deliberately 9. guilty 10. concise 11. editor
12. department 13. accurate 14. polish 15. hint 16. appointment 17. intention 18. approve 19. negative 20. employ 21. profession 22. appointment
23. intention 24. occupation 25. concentrated 26. polishing 27. deliberately 28. accurate 29. acquired 30. guilty
二。1. Concentrate …on 2. accuse…of 3. so as to 4. fill in 5. depend on 6. pass on 7. set to work 8. last of all 9. work on 10. be used on
三。1. defend 2. by accident/chance 3. normal education 4. opposite to 5. losing mind 6. defend ; against 7. accused of 8. benefit to 9. employees ; visit 10. risked her life 11. tricks 12. unemloyment 13. value
14. Hardly; when 15. knowledge; correctly
Unit 5.
一。 1. organ 2. poison 3. treatment 4. mildly 5. swelled 6. swollen
7. squeeze 8. symptom 9. iron 10. infection 11. presented 12. ceremory 13. brave 14. pressure 15. essay 16. towel 17. scheme 18. ambulance 19. proud 20. Congratulations 21. ambulance 22. Radiation 23. bandage 24. pressure 25. organ 26. symptom 27. squeezed 28. choked 29. damage 30. swelling
二。 1. prevent sb from doing sth 2. sense of touch 3. squeeze out 4. in place 5. over and over again 6. carry out 7. put one’s hands on 8. a number of
9. be proud of 10. cut off
三。 1. fell ill last night 2. protect our eyes from 3. get burnt
4. feel better within a day or two
5. turn white
语言点总结
Unit 1 Great Scientists
Word usage
1. attend v 1）to take care; give attention
2) to be present at
3) to take care of ; take part in; pay attention to sth; look after
He did not attend the meeting yesterday.
The school was attended almost entirely by local children
There was no one to attend him but Tina.
She didn't attend to what I was saying.
2. expose v 1) to make visible to
2) to reveal the guilt or wrong doing of
They consider it almost a crime to expose children to violence and sex on TV. Their scheme was exposed.
Don't expose the film to light.
Cleaning exposed the grain of wood.
3. cure v. 1）bring a person back to health
n 2) curing and being cured
Antibiotics help to cure many diseases that were formerly fatal.
Penicillin cured him of pneumonia.
You cured me completely.
There's no known cure for a cold.
She tried every means to cure her child of the bad habit
4. absorb v ：1) to occupy the full attention, or time
2) take and suck in, take in heat and light etc.
Cotton gloves absorb sweat.
So many good ideas! It's too much for me to absorb all at once.
The old man was utterly absorbed in the book.
Small businesses are absorbed by big ones.
She won't be able to absorb another heavy blow.
5. contribute v 1) join with others in giving help, money etc.
2) have a share in
He contributed half of his savings to the relief fund.
He didn't contribute one idea to the document
He contributed generously to the Red Cross.
He never contributes to the discussion
The scientist often contributes to an academic journal
6. control v. to exercise authoritative or dominating influence over; direct
n. to hold in restraint; check
She is skillful enough to control the machine now.
The British government at that time controlled the island
You must learn to control your temper.
They have no control over him.
The helicopter landed with Joe at the controls.
7. determine v. to reach a decision; resolve
She determined to go that very afternoon
My mom's encouragement determined me to go on with my study
He was determined to win the game
The court determined that the man was guilty of drunken driving. They have determined where the new school will be built.
8. devote v. to give or apply entirely to particular activity, cause or a person He devoted himself to writing.
He was still devoted to the study of chemistry
He has devoted his whole life to benefiting mankind.
9. confuse v. 1) to cause to be unable to think clarity or act with intelligence
2) to assemble without order or sense; jumble
They confused me by their conflicting advice
You confused Australia with Austria.
His granddaughter confused the papers on his desk.
10. enthusiastic adj. Having or demonstrating enthusiasm
David is very enthusiastic about the plan.
They are enthusiastic admirers of that movie star.
My parents are enthusiastic skiers.
11. valuable adj. 1) worth of a lot of money
2) having great usefulness or value
He bought me a valuable diamond ring as a birthday present This experience is valuable to me.
12. especially adv. 1) to extend or degree deserving of special emphasis
2) particularly, in particular
I liked all the children, Tom especially.
We need to be especially careful.
The book is compiled especially for beginners.
13. conclude v. 1) to bring to an end; close
2) to arrive at but the process of reason
We concluded our meeting at 9 o'clock.
What can you conclude from these observations?
He concluded that he would wait a little longer.
The meeting concluded after two hours.
14. replace v. 1) to put back into a former position or place
2) to take or fill the place of
She replaced the receiver.
The brakes have to be replaced.
Electric lights have replaced candles.
I will replace the cup I broke.
15. puzzle n. 1) something that baffles or confuses
2) something, such as a toy or game, that tests one’s ingenuity
v. 3) to baffle or confuse mentally
What puzzles me is why they didn't show up.
He looked a little puzzled.
His recent behavior puzzles me.
Her decision was a puzzle to him.
16. admire v. to regard with pleasure, wonder, and approval
We admire her for her diplomatic tact.
He admires your poems very much.
He admired her new hat.
17. appear vi. 1) to become visible
2) to seem or look to be
3) to come before the public
Gradually a smile appeared on her face.
It appears they are right.
He appeared to be talking to himself.
The famous singer is appearing this fall at the Music Festival.
Useful expressions
1. put forward to offer( an idea, suggestion etc.) for consideration
He put forward a very good suggestion at the meeting.
You ought to put your watch forward ten minutes.
2. believe in 1) to accept as true or real
2) to have a firm religious faith
3) to have faith or trust in
Christians believe in Jesus.
We believe in him.
Jim believes in fresh air and morning exercises.
3. in addition adv. As well as
They eat a great deal of fruit in addition.
In addition, the course also produces practical experience.
4. deal with: do with, concern sth
He has learnt to deal properly with all kinds of complicated situations.
This book deals with an important issue.
I don’t know what they do with the problem=I don’t know how they deal with the problem
5. make sense 1) to make sth understand or reasonable
2) to have a clear meaning
3) to be a wise course of action
This sentence doesn't make sense.
Your story doesn’t make sense to me
Here, read the sentence. It doesn’t seem to make sense.
6. base on: to use particular information or facts as a point from which to
develop an idea, plan, etc.
This play is based on a true story.
We should base our theory on facts.
7. apart from: without considering; except for
He lives apart from his family.
Apart from a few faults, he is a trustworthy teacher.
Apart from the t he cost, the dress doesn’t suit me.
8. look into : to investigate
We will look into this matter together.
9. join in 1) to participate with in an act or activity
2) to become a part or member of
3) to put sth together
Will you join me in a walk?
He jion the army.
Where does the path join the road?
Tie a knot to join those two piece of rope.
10. go over 1) go examine
2) to look at or examine for a purpose
3) to repeat
We went over the building.
We must go over the account s carefully before we settle down.
GO over the lesson again
Unit 2 The United Kingdom
Word usage
1. rule v. 1) to control or be the person in charge of (a country or people, ect)
2) to have a controlling influence over
3) period or way of ruling
It's against the rules of the school to smoke.
高中数学必修5知识点 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 A B C ===． 2、正弦定理的变形公式：①2sin a R =A ，2sin b R =B ，2sin c R C =；（边化角） ②sin 2a A R =，sin 2b B R =，sin 2c C R =；（角化边） ③::sin :sin :sin a b c A B C =； ④sin sin sin sin sin sin a b c a b c A B C A B C ++=== ++． 3、三角形面积公式：111 sin sin sin 222 C S bc A ab C ac B ?AB ===． 4、余弦定理：在C ?AB 中，有2 2 2 2cos 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222 a b c +=，则90C =；（.C A B C ?? 为直角为直角三角形） ②若2 2 2 a b c +>，则90C <；（.C A B C ??为锐角不一定是锐角三角形） ③若2 2 2 a b c +<，则90C >．（.C A B C ?? 为钝角为钝角三角形） 注：在C ?AB 中，则有 （1）A B C π++=，sin 0,sin 0,sin 0A B C >>>（正弦值都大于0） （2）,,.a b c a c b b c a +>+>+>（两边之和大于第三边） （3）sin sin A B A B a b >?>?>（大角对大边，大边对大角） 7、递增数列：从第2项起，每一项都不小于它的前一项的数列．10n n a a +-> 8、递减数列：从第2项起，每一项都不大于它的前一项的数列．10n n a a +-< 9、常数列：各项相等的数列．11,.n n a a S na == 10、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． 11、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． 12、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．11()n n n n a a d a a d -+-=-= 13、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
人教版高中英语必修五单词表 Unit 1 characteristic /k?rikt?'ristik/ n.特征；特性radium /'reidi?m/ n.镭 painter /'peint?/ n.画家；油漆匠 put forward 提出 scientific /sai?n'tifik/ adj.科学的conclude /k?n'klu:d/ vt. & vi.结束；推断出conclusion /k?n'klu:?n/ n.结论；结束draw a conclusion 提出结论 analyse /'?n?laiz/ vt.分析 △infect /in'fekt/ vt.传染；感染 △infectious /in'fek??s/ adj.传染的 △cholera /'k?l?r?/ n.霍乱 defeat /di'fi:t/ vt.打败；战胜；使受挫n.失败 expert /'eksp?:t/ adj.熟练的；经验或知识丰富的 n.专家；行家 attend /?'tend/ vt.照顾；护理；出席；参加 physician /fi'zi?n/ n.医生；内科医师expose /ik'sp?uz/ vt.暴露；揭露；使曝光expose … to 使显露；暴露 △deadly /'dedli/ adj.致命的 cure /kju?/ n.治愈；痊愈vt.治愈；治疗 △outbreak /'autbreik/ n.爆发；发作（尤指疾病或战争） challenge /'t??lind?/ n.挑战vt.向……挑战 victim /'viktim/ n.受害者 absorb /?b'z?:b/ vt.吸收；吸引；使专心suspect /s?'spekt/ vt.怀疑 /'s?spekt/ n.被怀疑者；嫌疑犯enquiry /in'kwai?ri/ n.询问neighbourhood /'neib?hud/ n.附近；邻近severe /si'vi?/ adj.严重的；剧烈的；严厉的 △clue /klu:/ adj.线索；提示pump /p?mp/ n.泵；抽水机 vt.（用泵）抽（水） △Cambridge /'keimbrid?/ Street剑桥大街foresee /f?:'si:/ vt.(foresaw，foreseen) 预见；预知 △investigate /in'vestiɡeit/ vt. & vi.调查△investigation /in vesti'ɡei?n/ n.调查blame /'bleim/ vt.责备；谴责 n.过失；责备 pollute /p?'lu:t/ vt.污染；弄脏 handle /'h?ndl/ n.柄；把手vt.处理；操纵 △germ /d??:m/ n.微生物；细菌 link /li?k/ vt. & n.连接；联系 link … to … 将……和……联系或连接起来 announce /?'nauns/ vt.宣布；通知 △certainty /'s?:tnti/ n.确信；确实instruct /in'str?kt/ vt.命令；指示；教导△responsible /ri'sp?ns?bl/ adj.有责任的；负责的 construct /k?n'str?kt/ vt.建设；修建construction /k?n'str?k?n/ n.建设；建筑物 contribute /k?n'tribju:t/ vt. & vi.捐献；贡献；捐助 apart from 除……之外；此外 firework /'fai?w?:k/ n.烟火（燃放）chart /t?ɑ:t/ n.图表 △creative /kri:'eitiv/ adj.有创造力的；创造性的；独创的 △co-operative /k?u'?p?r?tiv/ adj.合作的positive /'p?z?tiv/ adj.积极的；肯定的；确实的 (be) strict with … 对……严格的 △revolutionary /rev?'lu:??n?ri/ adj.革命的；重大变革的 movement /'mu:vm?nt/ n.移动；运动；动作 make sense 讲得通；有意义 backward /'b?kw?d/ adv. & adj.向后地（的）；相反地（的）；退步地（的） △loop /lu:p/ n.圈；环
人教版高中英语必修5单词表 注：?为重点词汇，△为非重点词汇Unit 1 characteristic n. 特征；特性 radium n. 镭 painter n. 画家；油漆匠 ?put forward 提出 scientific adj. 科学的 ?conclude vt. & vi.结束；推断出 conclusion n.结论；结束 ?draw a conclusion得出结论 analyse vt.分析 △infect vt.传染；感染 △infections v.传染的 △cholera adj.霍乱 ?defeat vt. 打败；战胜；使受挫n.失败 expert adj.熟练的；经验或知识丰富的n.专家；行家?attend vt.照顾；护理；出席；参加 physician n.医生；内科医师 ?expose vt.暴露；揭露；使曝光 ?expose…to使显露；暴露 △deadly adj.致命的
?cure n.治愈；痊愈vt.治愈；治疗 △outbreak n.爆发；发作（尤指疾病或战争）?challenge n.挑战vt.向……挑战 victim n.受害者 absorb vt.吸收；吸引；使专心 ?suspect vt.怀疑n.被怀疑者；嫌疑犯enquiry n.询问 neighborhood n.附近；邻近 severe adj.严重的；剧烈的；严厉的 △clue n.线索；提示 pump n.泵；抽水机vt.（用泵）抽（水） △Cambridge Street剑桥大街 foresee vt.（foresaw; foreseen）预见；预知 △investigate vt. △vi.调查 △investigation n.调查 ?blame vt.责备；谴责n.过失；责备 ?pollute vt.污染；弄脏 ?handle n.柄；把手vt.处理；操纵 △germ n.微生物；细菌 ?link vt. & n.连接；联系 ?link…to…将……和……联系或连接起来 ?announce vt.宣布；通告
《必修五 知识点总结》 第一章：解三角形知识要点 一、正弦定理和余弦定理 1、正弦定理：在C ?AB 中，a 、b 、c 分别为角A 、B 、C 的对边，，则有 2sin sin sin a b c R C ===A B (R 为C ?AB 的外接圆的半径) 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 ； 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2 2 2 2cos a b c bc =+-A ，推论：bc a c b A 2cos 2 22-+= B ac c a b cos 2222-+=，推论： C ab b a c cos 22 2 2 -+=，推论：ab c b a C 2cos 2 22-+= 二、解三角形 处理三角形问题，必须结合三角形全等的判定定理理解斜三角形的四类基本可解型，特别要多角度（几何作图，三角函数定义，正、余弦定理，勾股定理等角度）去理解“边边角”型问题可能有两解、一解、无解的三种情况，根据已知条件判断解的情况，并能正确求解 1、三角形中的边角关系 （1）三角形内角和等于180°； （2）三角形中任意两边之和大于第三边，任意两边之差小于第三边； ac b c a B 2cos 2 22-+=
（3）三角形中大边对大角，小边对小角； （4）正弦定理中,a =2R ·sin A , b =2R ·sin B , c =2R ·sin C ，其中R 是△ABC 外接圆半径. （5）在余弦定理中:2bc cos A =222a c b -+. （6）三角形的面积公式有:S = 21ah , S =21ab sin C=21bc sin A=2 1 ac sinB , S =))(()(c P b P a P P --?-其中，h 是BC 边上高，P 是半周长. 2、利用正、余弦定理及三角形面积公式等解任意三角形 （1）已知两角及一边，求其它边角，常选用正弦定理. （2）已知两边及其中一边的对角，求另一边的对角，常选用正弦定理. （3）已知三边，求三个角，常选用余弦定理. （4）已知两边和它们的夹角，求第三边和其他两个角，常选用余弦定理. （5）已知两边和其中一边的对角，求第三边和其他两个角，常选用正弦定理. 3、利用正、余弦定理判断三角形的形状 常用方法是：①化边为角；②化角为边. 4、三角形中的三角变换 （1）角的变换 因为在△ABC 中，A+B+C=π，所以sin(A+B)=sinC ；cos(A+B)=－cosC ；tan(A+B)=－tanC 。 2 sin 2cos ,2cos 2sin C B A C B A =+=+； （2）三角形边、角关系定理及面积公式，正弦定理，余弦定理。 r 为三角形内切圆半径，p 为周长之半 （3）在△ABC 中，熟记并会证明：∠A ，∠B ，∠C 成等差数列的充分必要条件是∠B=60°；△ABC 是正三角形的充分必要条件是∠A ，∠B ，∠C 成等差数列且a ，b ，c 成等比数列.
高中英语外研版必修五单词Module 1 1.have …in common 有相同的特点43. look n. 外观；外表；样子 2. linguist n. 语言学家44. criticize vt. 批评 3. make a difference 有影响，使不相同45. standard adj. 标准的 4. accent n. 口音46. reference n. 参考；查阅 5. obvious adj. 显然的；显而易见的 6. motorway n. （英）高速公路 7. underground n. （英）地铁 8. subway n. （美）地铁 9. get around 四处走动（旅行） 10. flashlight n. （美）手电筒；火把 11. queue vi. （英）排队（等候） 12. confusing adj. 令人困惑的；难懂的 13. preposition n. 介词 14. compare vt.比较 15. omit vt. 省略 16. variety n. 种类 17. differ vi. 不同；有区别 18. settler n. 移民；定居者 19. be similar to 与……相似 20. remark n. 评论；讲话 21. variation n. 变化 22. have difficulty (-in) doing sth. 做某事有困难 23. steadily adv. 不断地；持续地 24. satellite n. 卫星 25. flick n. 轻打；轻弹；抖动 26. l switch n. 开关 27. ead to 引起；导致 28. structure n. 结构；体系 29. rapidly adv. 迅速地 30. announcement n. 声明；宣告 31. linguistics n. 语言学 32. edition n. （广播、电视节目的）期；版 33. cute adj. 逗人喜爱的 34. add vt. 加；增加 35. in favour of 同意；支持 36. present vt. 陈述；提出（观点、计划等） 37. refer to ... as … 称……为…… 38. attempt n. 努力；尝试 39. simplify vt. 简化 40. combination n. 组合；结合 41.thanks to 幸亏，多亏 42. distinctive adj. 与众不同的
精心整理 高二语文必修五知识点总结 【一】 一、文言实词 (2)众人匹之 古义：一般人今义：多数人，大家 (3)虽然，犹有未树也。
古义：虽然这样今义：转折连词 (4)穷发之北 古义：毛，草木今义：头发 (5)小年不及大年 生物之以息相吹也(名词，气息) 4.词类活用 (1)名词用作动词。而后乃今将图南(往南飞)/奚以之九万里而南为(往南飞) (2)使动用法。德合一君(使……满意)/彼于致福者(使……到
来)/而徵一国者(使……信任)二、文言虚词 1.之 (1)助词，的。鹏之背，不知其几千里也/其翼若垂天之云(助词，的) 悲乎 /而彭祖乃今以久特闻 (3)连词，表并列。若夫乘天地之正，而御六气之辩 (4)连词，表承接。而控于地而已矣 3.则
(1)连词，就。海运则将徙于南冥 (2)连词，或者。时则不至 (3)连词，那么。则其负大舟也无力 4.然 (2)副词，还。彼且恶乎待哉 (3)副词，将要。且适南冥也 7.于 (1)介词，对于。彼其于世/彼其于世
(2)介词，在。覆杯水于坳堂之上 8.其 (1)用在选择问句中，或许……或说得过去，是……还是……其正色邪?其远而无所至极邪 ) ) ) 朝来暮去颜色故。(古义：容貌。今义：色彩。) 又闻此语重唧唧。(古义：叹息声。今义：一般指虫鸣。) 凄凄不似向前声。(古义：刚才。今义：朝着前面。) 河内凶，则移其民于河东。(古：黄河。今义：泛指河流。)
(古：谷物收成不好。今义：凶恶，厉害。) 弃甲曳兵而走。(古：逃跑。今义：行，走路。) 是使民养生丧死无憾也。(古：供养活着的人。今义：保养身体。) 五十者可以衣帛矣。(古：可以凭借。今义：表示同意、认可。) ) ) ) ) ) 赢粮而景从。(古：背负，担负。今义：获得，获胜。) 山东豪俊遂并起而亡秦族矣。(古：崤山以东。今义：山东省。) 古之学者必有师。(古：求学的人。今义：有专门学问的人。) 吾从而师之。(古：跟随并且。今义：表因果的连词。)
Unit 1 c h a r a c t e r i s t i c n.特征；特性r a d i u m n.镭painter n. 画家；油漆匠put f orward 提出scientif ic adj. 科学的conclud e v.结束conclusion n.结论draw a conclusion得出结论a n a l y s e v.分析i n f e c t v.传染infections v.传染的cholera adj.霍乱defeat v. 打败expert adj.熟练的attend v.照顾physician n.医生exposev.暴露expose...to使显露d e a d l y a d j.致命的c u r e n.治愈outbreak n.爆发challage n.挑战vi c t i m n.受害者a b so r b v.吸收su sp e ct v.怀疑e n qu i r y n.询问neighbourhood n.附近severe adj.严重的c l u e n.线索p u m p n.泵foresee v.预见investigate v.调查i n ve s t i g a t i o n n.调查b l a m e v.责备p o l l u t e v.污染 h a n d l e n.柄g e r m n.微生物l i n k v.连接link...to... 将…和…联系或连接起来announce n.宣布certainty n.确信instruct v.命令re spon sib le ad j.有责任的const ruc t v.建construction n.建设contribute v.捐献apart f rom 除……之外f irework n.烟火chart n.图表creative adj.有创造力的co-operative adj.合作的positive adj.积极的(be) strict with...对……严格的revolutionary adj.革命的movement n.移动make sense讲得通b a c k w a r d a d j.向后的l o o p n.圈privately adv.私下的spin v.（使）旋转brightness n.明亮enthusiastic adj.热情的c a u t i o u s a d j.小心的r e j e c t v.拒绝
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,
Unit 1 characteristic n. 特征；特性 radium n. 镭 painter n. 画家；油漆匠 put forward 提出 scientific adj. 科学的 conclude vt. & vi. 结束；推断出conclusion n. 结论；结束 draw a conclusion 提出结论 analyse vt. 分析 △infect vt. 传染；感染 △infections adj. 传染的 △cholera n. 霍乱 defeat vt. 打败；战胜；使受挫 n. 失败 expert adj. 熟练的；经验或知识丰富的n. 专家；行家 attend vt. 照顾；护理；出席；参加physician n. 医生；内科医师 expose vt. 暴露；揭露；使曝光expose…to 使显露；暴露△ deadly adj. 致命的 cure n. 治愈；痊愈 vt. 治愈；治疗 △ outbreak n. 爆发；发作 （尤指疾病或战争） challenge n. 挑战 vt. 向……挑战 victim n. 受害者 absorb vt. 吸收；吸引；使专心suspect vt. 怀疑 n. 被怀疑者；嫌疑犯 enquiry n. 询问 neighbourhood n. 附近；邻近severe adj. 严重的；剧烈的；严厉的△ clue adj. 线索；提示 pump n. 泵；抽水机 vt. （用泵）抽（水） △ Cambridge 剑桥大街 foresee vt. 预见；预知 △ investigate vt. & vi. 调查 △ investigation n. 调查 blame vt. 责备；谴责
必修1 第一章集合与函数概念 一、集合有关概念 1、集合的含义：某些指定的对象集在一起就成为一个集合，其中每一个对象叫元素。 2、集合的中元素的三个特性：1.元素的确定性；2.元素的互异性；3.元素的无序性 非负整数集（即自然数集）记作：N 正整数集N*或N+ 整数集Z 有理数集Q 实数集R 关于“属于”的概念 集合的元素通常用小写的拉丁字母表示，如：a是集合A的元素，就说a属于集合A 记作a∈A ，相反，a不属于集合A 记作a?A 二、集合间的基本关系 任何一个集合是它本身的子集。A?A ②真子集:如果A?B,且B?A那就说集合A是集合B的真子集，记作A?B(或B?A) 3. 不含任何元素的集合叫做空集，记为Φ 规定: 空集是任何集合的子集，空集是任何非空集合的真子集。 三、集合的运算 1．交集的定义：一般地，由所有属于A且属于B的元素所组成的集合,叫做A,B的交集．(即找公 共部分)记作A∩B(读作”A交B”)，即A∩B={x|x∈A，且x∈B}． 2、并集的定义：一般地，由所有属于集合A或属于集合B的元素所组成的集合，叫做A,B的并集。（即A和B中所有的元素）记作：A∪B(读作”A并B”)，即A∪B={x|x∈A，或x∈B}． 4、全集与补集 （1）补集：设S是一个集合，A是S的一个子集（即），由S中所有不属于A的元素组成的集合，叫做S中子集A的补集（或余集）（即除去A剩下的元素组成的集合） 四、函数的有关概念
定义域补充 能使函数式有意义的实数x的集合称为函数的定义域，求函数的定义域时列不等式组的主要依据是：(1)分式的分母不等于零；(2)偶次方根的被开方数不小于零；(3)对数式的真数必须大于零；(4)指数、对数式的底必须大于零且不等于1. (5)如果函数是由一些基本函数通过四则运算结合而成的.那么，它的定义域是使各部分都有意义的x的值组成的集合.（6）指数为零底不可以等于零(6)实际问题中的函数的定义域还要保证实际问题有意义. (又注意：求出不等式组的解集即为函数的定义域。) 构成函数的三要素：定义域、对应关系和值域 4．了解区间的概念 （1）区间的分类：开区间、闭区间、半开半闭区间；（2）无穷区间；（3）区间的数轴表示． 7．函数单调性 （1）．增函数 设函数y=f(x)的定义域为I，如果对于定义域I内的某个区间D内的任意两个自变量a，b，当a 必修5 第一章 解三角形 一、正弦定理 1.定理 2.sin sin sin a b c R A B C === 其中a ，b ，c 为一个三角形的三边，A ，B ，C 为其对角，R 为外接圆半径. 变式：a =2R sin A ，b =2R sin B ，c =2R sin C 二、余弦定理 1.定理 a 2= b 2+ c 2-2bc cos A 、b 2=a 2+c 2-2ac cos B 、c 2=a 2+b 2-2ab cos C 变形：222cos 2b c a A bc +-=、222cos 2a c b B ac +-=、222 cos 2a b c C ab +-= 2.可解决的问题 ①已知三边，解三角形； ②已知两边及其夹角，解三角形； ③已知两边及一边的对角，求第三边. 三、三角形面积公式 （1）111 222 a b c S ah bh ch ?===. 其中h a ，h b ，h c 为a ，b ，c 三边对应的高. （3）如果一个数列已给出前几项，并给出后面任一项与前面的项之间关系式，这种给出数列的方法叫做递推法，其中的关系式称为递推公式. （4）一个重要公式：对任何数列，总有 111, (2). n n n a S a S S n -??? ??==-≥ 注：数列是特殊的函数，要注意数列与函数问题之间的相互转化. 二、等差数列 （1）定义：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，那么这个数列就叫做等差数列.这个常数叫做数列的公差. （2）递推公式：a n +1=a n ＋d . （3）通项公式：a n =a 1+(n -1)d . （4）求和公式：11()(1).22 n n n a a n n S na d +-==+ （5）性质： GLOSSARY OF BOOK 5 Module 1 1. have …in common 有相同的特点 2. linguist [?li?gwist] n. 语言学家 3. make a difference 有影响，使不相同 4. accent [??ks?nt] n. 口音 5. obvious [??bvi?s] adj. 显然的；显而易见的 6. motorway [?m?ut??wei] n.（英）高速公路 7. underground [??nd?ɡraund] n.（英）地铁 8. subway [?s?bwei] n.（美）地铁 9. get around 四处走动（旅行） 10. flashlight [?fl???lait] n.（美）手电筒；火把 11. queue [kju:] vi.（英）排队（等候） 12. confusing [k?n?fju:zi?] adj. 令人困惑的；难懂的 13. preposition [?prep??zi??n] n. 介词 14. compare [k?m?p??] vt. 比较 15. omit [?u?mit] vt. 省略 16. variety [v??rai?ti] n. 种类 17. differ [?dif?] vi. 不同；有区别 18. settler [?setl?] n. 移民；定居者 19. be similar to 与……相似 20. remark [ri?mɑ:k] n. 评论；讲话 21. variation [?ve?ri?ei?(?)n] n. 变化 22. have difficulty (in) doing sth. 做某事有困难 23. steadily [?stedili] adv. 不断地；持续地 24. satellite [?s?t?lait] n. 卫星 25. flick [flik] n. 轻打；轻弹；抖动 26. switch [swit?] n. 开关 27. lead to 引起；导致 28. structure [?str?kt??] n. 结构；体系 29. rapidly [?r?pidli] adv. 迅速地 30. announcement [??naunsm?nt] n. 声明；宣告 31. linguistics [li??gwistiks] n. 语言学 32. edition [i?di??n] n.（广播、电视节目的）期；版33. cute [kju:t] adj. 逗人喜爱的 34. add [?d] vt. 加；增加 35. in favour of 同意；支持 36. present [?prez?nt] vt. 陈述；提出（观点、计划等） 37. refer to ... as …称……为…… 38. attempt [??tempt] n. 努力；尝试 39. simplify [?simplifai] vt. 简化 40. combination [?k?mbi?nei??n] n. 组合；结合 41. thanks to 幸亏，多亏 42. distinctive [dis?ti?ktiv] adj. 与众不同的 43. look [luk] n. 外观；外表；样子 44. criticize [?kritisaiz] vt. 批评 45. standard [?st?nd?d] adj. 标准的 46. reference [?refr?ns] n. 参考；查阅 Module 2 47. intellectual [?inti?lektju?l] adj. 脑力的；思维的，需用才智的 48. satisfying [?s?tisfaii?] adj. 令人满意的 高一英语必修五单词表 Book 5 Unit 1 characteristic /k?rikt?'ristik/ n.特征；特性 radium /'reidi?m/ n.镭 painter /'peint?/ n.画家；油漆匠 put forward 提出 scientific /sai?n'tifik/ adj.科学的 conclude /k?n'klu:d/ vt. & vi.结束；推断出 conclusion /k?n'klu:?n/ n.结论；结束 draw a conclusion 提出结论 analyse /'?n?laiz/ vt.分析 △infect /in'fekt/ vt.传染；感染 △infectious /in'fek??s/ adj.传染的 △cholera /'k?l?r?/ n.霍乱 defeat /di'fi:t/ vt.打败；战胜；使受挫n.失败 expert /'eksp?:t/ adj.熟练的；经验或知识丰富的n.专家；行家 attend /?'tend/ vt.照顾；护理；出席；参加 physician /fi'zi?n/ n.医生；内科医师 expose /ik'sp?uz/ vt.暴露；揭露；使曝光 expose … to 使显露；暴露 △deadly /'dedli/ adj.致命的 cure /kju?/ n.治愈；痊愈vt.治愈；治疗 △outbreak /'autbreik/ n.爆发；发作（尤指疾病或战争）challenge /'t??lind?/ n.挑战vt.向……挑战 victim /'viktim/ n.受害者 absorb /?b'z?:b/ vt.吸收；吸引；使专心 suspect /s?'spekt/ vt.怀疑 /'s?spekt/ n.被怀疑者；嫌疑犯 enquiry /in'kwai?ri/ n.询问 neighbourhood /'neib?hud/ n.附近；邻近 severe /si'vi?/ adj.严重的；剧烈的；严厉的 △clue /klu:/ adj.线索；提示 pump /p?mp/ n.泵；抽水机vt.（用泵）抽（水） △Cambridge /'keimbrid?/ Street 剑桥大街 foresee /f?:'si:/ vt.(foresaw，foreseen)预见；预知 △investigate /in'vestiɡeit/ vt. & vi.调查 △investigation /in vesti'ɡei?n/ n.调查 blame /'bleim/ vt.责备；谴责n.过失；责备 pollute /p?'lu:t/ vt.污染；弄脏 handle /'h?ndl/ n.柄；把手vt.处理；操纵 △germ /d??:m/ n.微生物；细菌 link /li?k/ vt. & n.连接；联系 link … to … 将……和……联系或连接起来 announce /?'nauns/ vt.宣布；通知 人教版高中英语必修五单词表 1 2 Unit 1 3 4 characteristic /k?r ikt ?'ristik/ n. 5 特征；特性 6 radium /'reidi ?m/ n. 镭 7 painter /'peint ?/ n. 画家；油漆匠 8 put forward 提出 9 scientific /sai ?n'tifik/ adj. 科10 学的 11 conclude /k ?n'klu:d/ vt. & vi. 结12 束；推断出 13 conclusion /k ?n'klu:?n/ n. 结论；结14 束 15 draw a conclusion 提出结论 16 analyse /'?n ?laiz/ vt. 分析 17 △ infect /in'fekt/ vt. 传染；感染 18 △ infectious /in'fek ??s/ adj. 传19 染的 20 △ cholera /'k ?l ?r ?/ n. 霍乱 21 defeat /di'fi:t/ vt. 打败；战胜；使22 受挫 n. 失败 23 expert /'eksp ?:t/ adj. 熟练的；经验24 或知识丰富的 25 n. 专家；行家 26 attend /?'tend/ vt. 照顾；护理；出27 席；参加 28 physician /fi'zi ?n/ n. 医生；内科医29 师 30 expose /ik'sp ?uz/ vt. 暴露；揭露；31 使曝光 32 expose … to 使显露；暴露 33 △ deadly /'dedli/ adj. 致命的 34 cure /kju ?/ n. 治愈；痊愈 vt. 治愈；35 治疗 36 △ outbreak /'autbreik/ n. 爆37 发；发作 38 （尤指疾病或战争） 39 challenge /'t ??lind ?/ n. 挑战 vt. 40 向……挑战 41 victim /'viktim/ n. 受害者 42 absorb /?b'z ?:b/ vt. 吸收；吸引；使43 专心 44 suspect /s ?'spekt/ vt. 怀疑 45 /'s ?spekt/ n. 被怀疑者；嫌疑犯 46 enquiry /in'kwai ?ri/ n. 询问 47 一、三角形中的三角函数 （1）内角和定理：三角形三角和为π，任意两角和与第三个角总互补，任意两半角和与第三个角的半角总互余．锐角三角形?三内角都是锐角?三内角的余弦值为正值?任两角和都是钝角?任意两边的平方和大于第三边的平方． （2）正弦定理：2a b c R ===（R 为三角形外接圆的半径）． 注意：已知三角形两边一对角，求解三角形时，若运用正弦定理，则务必注意可能有两解． （3）余弦定理：22222222 ()2cos ,cos 122b c a b c a a b c bc A A bc bc +-+-=+-==-等，常选用余弦定理鉴定三角形的类型． （4）面积公式：11sin 224a abc S ah ab C R ===． 二、数 列 1．数列的通项、数列项的项数，递推公式与递推数列，数列的通项与数列的前n 项和公式的关系：{11,(1),(2) n n n S n a S S n -==-≥（必要时请分类讨论）． 注意：112211()()()n n n n n a a a a a a a a ---=-+-++-+ ；121121 n n n n n a a a a a a a a ---= ???? ． 2．等差数列{}n a 中： （1）等差数列公差的取值与等差数列的单调性． （2）1(1)n a a n d =+-()m a n m d =+-；p q m n p q m n a a a a +=+?+=+． （3）1(1){}n k m a +-、{}n ka 也成等差数列． （4）两等差数列对应项和（差）组成的新数列仍成等差数列． （5）1211,,m k k k m a a a a a a ++-++++++ 仍成等差数列． （6）1()2n n n a a S +=，1(1)2n n n S na d -=+，21()22 n d d S n a n =+-，2121n n S a n -=-，()(21)n n n n A a f n f n B b =?=-． 第一章 解三角形 1、内角和定理：（1）三角形三角和为π，任意两角和与第三个角总互补，任意两半角和与第三个角的半角总互余．（2）锐角三角形?三内角都是锐角?三内角的余弦值为正值?任两角和都是钝角?任意两边的平方和大于第三边的平方． 2、正弦定理：2sin sin sin a b c R A B C ===（R 为三角形外接圆的半径）． C R c B R b A R a C B A c b a sin 2,sin 2,sin 2)2(;sin :sin :sin ::)1(==== ） （3解三角形：已知三角形的几个元素求另外几个元素的过程。 ???，可求其它元素已知两边和一边的对角 可求其它边和角已知两角和任意一边， 注意：已知两边一对角，求解三角形，若用正弦定理，则务必注意可能有两解． 3、余弦定理：?????-+=-+=-+=C ab b a c B ac c a b A bc c b a cos 2cos 2cos 2222222222（求边） 或 （求角）???? ?????-+=-+=-+=ab c b a C a c b c a B bc a c b A 2cos 2cos 2cos 2222222 22 ?? ???求其它已知两边和一边对角，已知三边求所有三个角已知两边一角求第三边（注:常用余弦定理鉴定三角形的类型）． 4、三角形面积公式：R abc B ac A bc C ab ah S a 4sin 2 1sin 2 1sin 2121=?????????==． 5、解三角形应用 （1）在视线和水平线所成的角中，视线在水平线上方的角叫仰角；视线在水平线下方的角叫俯角。 （2）从正北方向顺时针转到目标方向的水平角叫方位角。 （3）坡面与水平面所成的二面角度数的正切值叫做坡度。 （4）解斜三角形应用题的一般步骤： 分析→建模→求解→检验 高二英语必修五Unit 5单词（人教版） aid n. & vt. 帮助；援助；资助 first aid （对伤患者的）急救 temporary adj. 暂时的；临时的 fall ill 生病 injury n. 损伤；伤害 bleed vi. & vt. (bled,bled)流血 △nosebleed n. 鼻出血；流鼻血 △sprain vt. 扭伤 △sprained adj. 扭伤的 ankle n. 踝（关节） choke vi. & vt. （使）噎住；（使）窒息cupboard n. 橱柜；衣柜 skin n. 皮；皮肤 △essential adj. 最重要的；不可缺少的； 本质的 organ n. 器官 △layer n. 层；层次 barrier n. 屏障；障碍（物） poison n. 毒药；毒害 vt. 毒害；使中毒 ray n. 光线；射线 complex adj. 复杂的 variety n. 变化；多样（化）；多变（性）liquid n. 液体 radiation n. 辐射；射线 mild adj. 轻微的；温和的；温柔的 mildly adv. 轻微地；温和地 pan n. 平底锅；盘子 stove n. 炉子；火炉 △heal vi. & vt. （使）康复；（使）化解tissue n. （生物）组织；薄的织物；手巾纸electric shock 触电；电休克 swell vi. & vt. (swelled,swollen) （使）膨胀；隆起 swollen adj. 肿胀的 △blister n. 水泡 vi. & vt. （使）起泡 △watery adj. （似）水的 △char vi. 烧焦 △nerve n. 神经；胆量 scissors n. (pl.) 剪刀 unbearable adj. 难以忍受的；人教版高中数学必修五知识点总结
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