unit 5 课文中的定语从句
1、The time when I first met Nelson
Mandela was a very difficult period of
my life.
2、It was in 1952 and Mandela was the
black lawyer to whom I went for advice.
3、He was generous with his time ,for
which I was grateful.
4、The school where I studied for only two
years was three kilometres away .
5、However,this was a time when one had
got to have a passbook to live in
Johannesburg.
6、The day when Nelson Mandela helped
me was one of my happiest.
7、The last thirty years have seen the
greatest number of laws stopping our
rights and progress ,until today we have reached a stage where we have almost no rights at all.
8、The part of town in which they had to live were
decided by white People.
9、The places outside the towns where they were
sent to live were the poorest parts of South
Africa.
10、We were put into a position in which we had
either to accept we were less important ,or
fight the government.
11、We first broke the law in a way which was
peaceful.
Only +状语或状语从句后面的句子用倒装句Only in the way can we learn English well. Only when he told me did l know the truth . Only then did I realize L was wrong.
注：only 修饰主语时不倒装
Only you can persuade him not to smoke.
Choose the best answer:
-Only after Mary read her composition the
A
second time _______ the spelling mistake.
A、did she notice
B、she noticed
C、does she notice
D、she has notice
_ Only when he reached the tea -house D
____ it was the same place he’d been in last years.
A、he realized
B、he did realize
C、realized
D、did he realize
whether conj 是否
-I don’t know whether it is right or not
(宾语从句）
-The news whether our team has won the game is unknown
(同位语从句）
-What I want to make clear is whether you are interested in skating.
(表语从句）
-Whether we’ll go out for an outing depends on the weather.
(主语从句）
注：只能用whether 不能用if
1）在句子中作表语从句、主语从句、同位语从句-Whether the news is true remains a question. 2) 后面有动词不定式、
-I don’t know whether to go there or not.
3) 后面接or not 时
-We are not sure whether or not she is ready. 4) 介词后
-It all depends on whether we will have enough money.
-It doesn ’t matter ___ you pay by cash or credit in this store.
A 、how
B 、whether
C 、what
D 、why -It limits of a person ’s intelligence , generally speaking , are fixed at birth, but ____ he reached these limits will depend on his environment.
A 、where
B 、whether
C 、that
D 、why 一个人的智力极限，通常来说，出生时就已经定型了，但他是否能够达到这些极限则取决于他所处的环境。B B
高中英语必修五课文及翻译
高中英语必修五课文及翻 译 Final approval draft on November 22, 2020
-必修 5 Unit 2 The United Kingdom Reading PUZZLES IN GEOGRAPHY People may wonder why different words are used to describe these four countries: England, Wales, Scotland and Northern Ireland. You can clarify this question if you study British history. First there was England. Wales was linked to it in the thirteenth century. Now when people refer to England you find Wales included as well. Next England and Wales were joined to Scotland in the seventeenth century and the name was changed to "Great Britain". Happily this was accomplished without conflict when King James of Scotland became King of England and Wales as well. Finally the English government tried in the early twentieth century to form the United Kingdom by getting Ireland connected in the same peaceful way. However, the southern part of Ireland was unwilling and broke away to form its own government. So only Northern Ireland joined with England, Wales and Scotland to become the United Kingdom and this was shown to the world in a new flag called the Union Jack. To their credit the four countries do work together in some areas (eg, the currency and international relations), but they still have very different institutions. For example, Northern Ireland, England and Scotland have different educational and legal systems as well as different football teams for competitions like the World Cup! England is the largest of the four countries, and for convenience it is divided roughly into three zones. The zone nearest France is called the South of England, the middle zone is called the Midlands and the one nearest to Scotland is known as the North. You find most of the population settled in the south, but most of the industrial cities in the Midlands and the North of England. Although, nationwide, these cities are not as large as those in China, they have world-famous football teams and some of them even have two! It is a pity that the industrial cities built in the nineteenth century do not attract visitors. For historical architecture you have to go to older but smaller towns built by the Romans. There you will find out more about British history and culture. The greatest historical treasure of all is London with its museums, art collections, theatres, parks and buildings. It is the centre of national
高一英语定语从句教案
高一英语定语从句教案 一、基本概念 1. 定语从句： 修饰一个名词或代词的从句称为定语从句，一般紧跟在它所修饰的先行词后面。 2. 先行词： 被定语从句修饰的名词 3. 关系词： 引导定语从句的关联词成为关系词有关系代词和关系副词。关系代词有that, which, who, whom, whose, as；关系副词有where, when, why。关系词常有3个作用：1）引导定语从句。2）代替先行词。3）在定语从句中担当一个成分。 二、关系代词和关系副词的意义及用法 指人：who, that,(指人常用who,不常用that) 主语 指物：which, that 指人：whom, who, that（who常用在在非正式和口语体中） 宾语(关系代词作宾语时常可省略) 关系代词指物：which, that 定语：whose （whose + n.=of which + n. ） 关系词 时间：when 关系副词----状语地点：where = 介词+ which 原因：why 解题技巧：关键看从句缺何种成分 三、例句练习讲解 1.Yesterday I helped an old man ＿lost his way.昨天我帮助了一位迷路的老人。 2.The man ＿you met just now is my friend. 你刚才见到的那个人是我的朋友。 3.This is the pen ＿he bought yesterday. 这是他昨天买的笔。 4.He has a friend ＿father is a doctor. 他有个父亲是医生的朋友。 注意：whose指物时，常用以下结构来代替，例： 门坏了的那间教室很快就会被修好。 The classroom whose door is broken will soon be repaired. The classroom the door of which is broken will soon be repaired. 你喜欢那本封面是黄色的书吗？ Do you like the book whose cover is yellow? Do you like the book the cover of which is yellow? 5.I still remember the day ＿I first came to this school.我仍然记得第一次来到这学校 的那一天。 6.Shanghai is the city ＿I was born. 上海市我出生的地方。 7.Please tell me the reason ＿you missed the plane. 请告诉我你错过航班的原因。 注意：关系副词引导的从句可以由“介词+which”引导的从句替换 8.易错题：This is the mountain village (which) I visited last year. I'll never forget the days (which) I spent in the countryside. 习惯上总把表地点或时间的名词与关系副词where, when联系在一起而做错题。
英语必修五课文翻译
必修五课文原文翻译 unit 1约翰·斯诺战胜“霍乱王” 约翰·斯诺是伦敦一位著名的医生——他的确医术精湛，以至于成了照料维多利亚女王的私人医生。但当他一想到要帮助(那些)得了霍乱的普通百姓时，就感到很受鼓舞。霍乱在当时是最致命的疾病。人们既不知道它的病因，也不懂如何治疗。每次爆发霍乱时就有成千上万惊恐的人病死。约翰·斯诺想面对这一挑战，解决这一问题。他知道在找到病源之前，霍乱疫情是无法控制的。 他对霍乱致人死地的两种推测产生了兴趣。第一种看法是霍乱病毒在空气中繁殖，像一股危险气体在空中到处漂浮，直到找到病毒的受害人。第二种看法是人们是在吃饭时把这种病毒引入体内的。病毒从胃部开始迅速殃及全身，患者就会很快地死去。 约翰·斯诺推测第二种说法是正确的，但需要有证据。因此在1854年伦敦再次爆发霍乱时，他就着手准备对此调研。当霍乱在贫民区迅速蔓延时，约翰·斯诺开始搜集信息。他发现特别在两条街上霍乱流行得很严重，以至于10天内就有500多人死亡。他决心查清原因。 他首先在地图上标注出所有死者曾住过的确切地点。该图提供了一条说明霍乱起因的很有价值的线索。许多死者都住在布洛德街上的水泵附近(尤其是这条街上的16、37、38和40号)。他还发现有些住户(如布洛德街20号和21号及剑桥街8号和9号)却无人死亡。他未预料到这种情况，于是他做了进一步调查。他发现这些人是在剑桥街7号的酒馆里打工。酒馆为他们供应免费啤酒，因此他们没喝布洛德街水泵里的水。看来水是罪魁祸首。 接下来，约翰·斯诺调查了这两条街上的水源。他发现水来自于河里，这条河被伦敦排出的脏水污染了。约翰·斯诺立即告诉布洛德街上惊慌失措的人们拆掉水泵的把手，这样水泵就用不成了。不久，疫情就开始得到缓解。他证明了霍乱是通过细菌传播而非气团传播。 在伦敦的另一地区，他从另外两例与布洛德街疾病爆发有关的死亡病例中得到了有力的证据。一个妇女，从布洛德街搬走了，但她非常喜欢水泵的水，她让人每天从水泵给她家送水。她和她的女儿在喝了这些水后，都死于霍乱。利用这个额外证据，约翰·斯诺就可以很有把握地宣布污染水携带病菌。 为防止这种情况再度发生，约翰·斯诺建议，所有水源都要经过检测。供水公司也得到指示再也不能让人们接触污染水了。“霍乱王”终于被击败了。
语法高一英语必修一定语从句专项练习题定语
语法高一英语必修一定语从句专项练习题定语 TTA standardization office【TTA 5AB- TTAK 08- TTA 2C】
【语法】高一英语必修一定语从句专项练习题定语从句专项练习题E x e r c i s e1:默写定语从句的相关知识点定语的基本感念: 定语在句中位置: 定语的表现形式: 从句的基本概念: 定语从句: 先行词: 引导词: 关系词的作用: 关系代词: 关系副词: Exercise 2: 指出下列句子中的定语由什么担当，并说明与修饰词的位置关系。T h e b l a c k b i k e i s m i n e.形容词b l a c k作名词b i k e的前置定语W h a t’s y o u r n a m e I h a v e5b o o k s.
T h e r e i s a s l e e p i n g b o y i n o u r c l a s s r o o m. T h e y m a d e p a p e r f l o w e r s. T h e b o y i n t h e r o o m i s J a c k. I h a v e s o m e t h i n g t o d o. I t i s a s w i m m i n g p o o l. T h e r e i s s o m e t h i n g w r o n g. T h e l e s s o n wh i c h w e s t u d i e d y e s te r d a y w a s h a r d to u n d e r s t a n d. T h i s i s t h e g i r l w h o m I m e t i n t h e s t r e e t. E x e r c i s e3:指出下列句子中关系词的三个作用 1. He is the man whom I met yesterday.他是我昨天在街道上遇见的那个人。 关系代词whom，引导后面的定语从句，代替先行词the man在定语从句I met ( ) y e s t e r d a y.中作m e t的宾语。 k n o w t h e m a n w h o l i v e s n e x t d o o r.我认识住在隔壁的那个人。 will never forget the day when she got married. 她永远不会忘记她结婚的这一天。 showed me the article that he had written.他把他写的文章拿给我看。
外研版高中英语必修5课文翻译
必修5课文翻译 Module 1 British and American English Words,Words,Words 英式英语和美式英语在很多方面是不同的。首先，最为明显的方面是在词汇方面。有成百上千的不同的词在大西洋彼岸是不被使用的或以不同的意思被使用。有一些词是非常有名的，美国人在高速公路上驾驶时给车（automobile 汽车）加油加的是gas；而英国人通常来给车加油用的是petrol（汽油）。做为一个游客，你在伦敦将会使用underground來指地铁或在纽约使用subway，或许你将会更愿意选择用出租车taxi（英国）或cab（美国）来游览城市。 Chips or French fries？ 但是其他词语和表达方式没有这麽广泛的被人所知。美国人把手电筒成为flashlight然而在英国，它被称做torch（火炬，火把；喷灯，吹管；光芒）。在英国英语当中，排队要用queue up 而在美国要用stand in line 。有的时候同一个单词在意义上有轻微差别，这和种差别有事会使人疑惑不解。例如：Chips 在英国中指的是油炸的或热炸的薯条；在美国，Chips 是非常薄的并且是放在袋里出售的。英国人称它为Crisps英国人所熟悉并喜欢的这中薯条在大西洋彼岸却被称之为French fries 。 Have or have got ？ 在语法方面英式英语和美式英语也有一些不同。英国人通常说“have you got ...?”而美国人更愿意使用“Do you have ...?”一个美国人通常会说“My friend has just arrived .”但是一个英国人通常会说“My friend has just arrived.”介词的用法也有一定不同：我们可以比较一下，在美式英语中用on the team ,on the weekend 在英式英语中用in the team ,at the weekend 。英国人用介词的地方美国人有时会省略掉（I’ll see you Monday ;Write me soon!）。 Colour or color? 此外，在两中英语中另外两个领域的区别是拼写和发音。美国人拼写看起来似乎简单些：center, color和programme。自从四百多年以前第一批移民到来有很多的因素影响着美式发音。这个与英式英语非常相似的口音能够在美国东海岸被听到。当爱尔兰的作家乔治.萧伯纳将这个“英国和美国是被一个语言分开两个民族”这句名言时，他显然想到了他们之间的差别。但是这些区别真的很重要吗？毕竟两个国家境内口音的差别可能和两个两国之间的口音差别可能一样多。伦敦人要听懂来自格拉斯哥的苏格兰人说话要比纽约人更难。
(完整版)高中英语定语从句讲解及练习
高中英语定语从句讲解及练习 定语从句是高中重点知识，也是高考常考点，大家也不容易掌握，这篇文章主要教你关系代词引导的定语从句 关系副词引导的定语从句判断关系代词与关系副词限制性和非限制性定语从句等内容，有例题讲解定语从句在句中做定语，修饰一个名词或代词，被修饰的名词词组或代词即先行词。定语从句通常出现在先行词之后，由关系词（关系代词或关系副词）引出。 关系代词有：who, whom, whose, that, which等。 关系副词有：when, where, why等。 18.1 关系代词引导的定语从句 关系代词所代替的先行词是人或物的名词或代词，并在句中充当主语、宾语、定语等成分。关系代词在定语从句中作主语时，从句谓语动词的人称和数要和先行词保持一致。 1）who, whom, that 这些词代替的先行词是人的名词或代词，在从句中作主语和宾语。例如： Is he the man who/that wants to see you? 他就是你想见的人吗？（who/that在从句中作主语） He is the man whom/ that I saw yesterday. 他就是我昨天见的那个人。（whom/that在从句中作宾语） 2）whose 用来指人或物，（只用作定语, 若指物，它还可以同of which互换）。例如： They rushed over to help the man whose car had broken down.那人车坏了，大家都跑过去帮忙。 Please pass me the book whose （of which）cover is green.请递给我那本绿皮的书。 3）which, that所代替的先行词是事物的名词或代词，在从句中可作主语、宾语等。例如： A prosperity which / that had never been seen before appears in the countryside. 农村出现了前所未有的繁荣。（which / that在句中作宾语） The package （which / that）you are carrying is about to come unwrapped. 你拿的包快散了。（which / that在句中作宾语） 18.2 关系副词引导的定语从句 关系副词可代替的先行词是时间、地点或理由的名词，在从句中作状语。 1）关系副词when, where, why的含义相当于\"介词+ which\"结构，因此常常和\"介词+ which\"结构交替使用。例如： There are occasions when （on which）one must yield.任何人都有不得不屈服的时候。 Beijing is the place where（in which）I was born.北京是我的出生地。 Is this the reason why （for which）he refused our offer?这就是他拒绝我们帮助他的理由吗？ 2）that代替关系副词，可以用于表示时间、地点、方式、理由的名词后取代when, where, why和\"介+which\"引导的定语从句，在口语中that常被省略。例如： His father died the year （that / when / in which）he was born.他父亲在他出生那年逝世了。 He is unlikely to find the place （that / where / in which）he lived forty years ago. 他不大可能找到他四十年前居住过的地方。 18.3 判断关系代词与关系副词 方法一：用关系代词，还是关系副词完全取决于从句中的谓语动词。及物动词后面无宾语，就必须要求用关系代词；而不及物动词则要求用关系副词。例如： This is the mountain village where I stayed last year. 这是我去年呆过的山村。 I'll never forget the days when I worked together with you.我永远不会忘记与你共事的日子。 判断改错： （错）This is the mountain village where I visited last year. （错）I will never forget the days when I spent in the countryside. （对）This is the mountain village （which）I visited last year. （对）I'll never forget the days （which）I spent in the countryside. 习惯上总把表地点或时间的名词与关系副词where, when联系在一起。此两题错在关系词的误用上。 方法二：准确判断先行词在定语从句中的成分（主、谓、宾、定、状），也能正确选择出关系代词/关
必修一Unit5定语从句
高一英语Unit 5 Nelson Mandela（定语从句练习） I 用合适的关系词填空 1 Is he the man wants to see you? 2 He is the man I saw yesterday. 3 They rushed over to help the man car had broken down. 4 The package you are carrying is about to come unwrapped. II 把书翻到34页，从课文中找出关系副词或介词+ which/whom引导的定语从句Example: The time when I first met Nelson Mandela…… 1 (where) 2 (when) 3 (prep + which) 4 (prep + whom) [Practice] 1 I still remember the day / I first came to Beijing. 2 Can you tell me the office / he works? 3 Do you know the reason / he is absent? III 比较关系代词和关系副词: ( 1 ) Do you still remember the days that /which we spent in Qingdao? （2）Do you still remember the days when we spent the summer holidays in Qingdao? [Practice] 用合适的关系代词或关系副词填空 1 The city I was born has a lot of parks. 2 I don’t like cities have a lot of factories. 3 New Year’s Eve is a time I am always looking forward to. 4 My birthday is a day I think about my future. 5 He is the cleverest boy I have ever seen. 6 I saw a house the window of is broken. 7 I saw a house windows are broken. 8 I will never forget the days I worked together you on the farm. 9 He has got himself into a dangerous place he is likely to lose his way. 10 We expressed the hope they had expressed. IV 练习A Complete the following sentences with “preposition+ which/whom” 1 This is the rock the boy fell down into the sea. 2 Yesterday we had a meeting，we discussed a lot of questions. 3 The film star we talked a lot will give us a speech tomorrow. 4 Nothing can grow on the moon there is neither water nor air. 5 The West Lake Hangzhou is famous in the world will be more beautiful. 6 The newspaper he often writes articles is China Daily. 7 The stories about the Long March are well written, this is one example. 8 The subject Xiao Wang is good is physics. 9 The professor Mr. Smith shook hands yesterday has made new discoveries in science. 10 At last I met the writer I had heard long before. B Choose the correct answer 1 I still remember the days we studied together. A that B which C where D when 2 He didn’t know which room . A they lived B they lived in C did they live D did they live in 3 This is the reason I came here. A which B why C that D in which 4 Swimming is a very good sport, everybody likes. A which B that C whose D who 5 We lived in the room windows faced south. A whose B of which C which D that 6 Many forests the animals lived were destroyed. A which B that C where D when 7 We often think of the happiest days we spent together on the island. A when B which C that D during which 8 He is one of the teachers who English but the only one of the teachers who French in our school. A know; knows B knows; know C knows; knows; D know; know
高一英语必修一定语从句1
定语从句 一、基本概念 1．定语从句：在一个主从复合句中修饰某一个名词、代词或修饰整个主句的从句叫定语从句。换句话说，定语从句就是用来作定语的句子。 2．先行词：被定语从句修饰的名词或代词叫先行词。先行词前一般用the ，但在指“一个”概念时可用 a , an 。 3．关系代词 / 关系副词：连接先行词和定语从句的词叫关系词，根据其在从句中作用分为关系代词或关系副词。若先行词在从句中作主语、宾语和定语等，应用关系代词引导定语从句；若先行词在从句中作时间状语、地点状语和原因状语等，应用关系副词引导定语从句。4．定语从句的位置：一般紧跟在先行词后面。但有时因句子结构的需要，定语从句和先行词被某些成分隔开。 5．引导定语从句的关系词分为二类： 关系代词：that, which ,who, whom ,whose , as 关系副词：when, where, why 二、基本用法 1．关系代词的基本用法（见下表）：
2．使用关系代词时应注意的几个问题： a. 在以下几种情况下只使用that不用which。 1.先行词是不定代词时，如: all, anything, everything, nothing, something, little, few, much。 told him all (that) I know. gave her everything (that) he had. 2.先行词被all, every, any, the very, the only, the just等修饰时。 have read all the books (that) you gave me. can take any book (that) you like. 3.先行词被序数词和形容词的最高级修饰时。 1. This is the best book (that) I have ever read. 2. The second place (that) I want to visit is Shanghai. 4.先行词既有人又有物时。 talked about the persons and things (that) we remember in the school. people and the animals that were killed in the earthquake have all been found. 5.在Who, Which引起的疑问句中。 1. Who is the boy that helped you? 2. Which is the book (that) you bought yesterday? 6. 若有两个定语从句，一个用which引导，另一个须用that引导。 He bought a book which could give him knowledge and that could help to kill the time. 7.当先行词在定语从句中作表语时。 Mary is no longer the girl (that) she used to be. b.在以下几种情况下只使用which 不用that。 1. 引导非限制性定语从句时。 I have lost my pen, which I like very much. (which 作宾语，指代主句中的pen) New concept English is intended for foreign students, which is known to all of us. (which作主语，指代整个主句) 2. 若有两个定语从句，其中一个关系代词是which，另一个须用that。 The book (that) he bought yesterday was the one (which) he liked best. 3. 先行词在句中作介词宾语且介词前置时。 This is the house in which Lu Xun once lived. c.当先行词为指人的关系代词时,引导词只用who 不用that。 1.先行词为all, anyone, one / ones, those, people 时，须用who。 1. Anyone who knows how to do it can do it now. 2. Those who want to see the film please put up your hands. 3. He, who does not reach the Great Wall, is not a true man. 2. 在非限制性定语从句中，须用who。 Tom’s father, who is over sixty, still works hard.
新课标高中英语必修5 课文翻译与要点 unit1
1.必修五Unit 1 JOHN SNOW DEFEATS “KING CHOLERA” 约翰·斯诺击败“霍乱王” John Snow was a famous doctor in London - so expert, indeed, that he attended Queen Victoria as her personal
physician.约翰·斯诺是伦敦一位著名的医生——他的确医术精湛，因而成为照料维多利亚女王的私人医生。But he became inspired when he thought about helping ordinary people exposed to cholera.但他一想到要帮助那些得了霍乱的普通百姓
时，他就感到很振奋。This was the deadly disease of its day.霍乱在当时是最致命的疾病，Neither its cause nor its cure was understood.人们既不知道它的病源，也不了解它的治疗方法。So many thousands of terrified people died
every time there was an outbreak.每次霍乱暴发时，就有大批惊恐的老百姓死去。John Snow wanted to face the challenge and solve this problem.约翰·斯诺想面对这个挑战，解决这个问题。He knew that cholera would never be controlled until its
高一英语定语从句讲解精华版
定语从句 一、基本概念： 定语： 定语从句： Do you know the man who spoke at the meeting just now That is the house where he lived ten years ago. 引导词：关系词 关系代词有：that, who, whom, whose, which; 在从句中充当： 关系副词有：when, where, why. 在从句充当： 先行词： 定语从句中引关系词的作用： 二、关系词的用法： （一）关系代词的用法： 1． He is the man lives next door. The train has just left is for Shenzhen. 2． The man ________ we have just seen is a famous writer. Where is the book ___________I bought last week （二）关系副词的用法： 1． I still remember the time ________I first became a college student. Do you know the date __________Lincoln was born
(三) 使用关系副词应注意下列几点： 1．这三个关系副词在意义上都相当于一定的介词+which结构： when = on (in, at, during…) + which; where = in (at, on…) + which; why = for which. 如： I was in Beijing on the day when (=on which) he arrived. The office where (=in which) he works is on the third floor. This is the chief reason why (=for which) we did it. 2．当先行词是表时间的time, day等和表地点的place, house等时，一定要注意分析从句的结构，如果缺少主语或宾语时，关系词应该用which或that, 缺少时间状语或地点状语时，才能用when或where，试比较： I’ll never forget the day _________ my hometown was liberated. I’ll never forget the days____________we spent together last summer. His father works in a factory____________radio parts are made. His father works in a factory______________makes radio parts. 三．限制性定语从句与非限制性定语从句 1．限制性定语从句 This is the telegram which he refers to. Is there anything (that) I can do for you 2．非限制性定语从句 This note was left by Tom, who was here a moment ago. As a boy, he was always making things, most of which were electric.
unit 5 课文中的定语从句
1、The time when I first met Nelson Mandela was a very difficult period of my life. 2、It was in 1952 and Mandela was the black lawyer to whom I went for advice. 3、He was generous with his time ,for which I was grateful. 4、The school where I studied for only two years was three kilometres away .
5、However,this was a time when one had got to have a passbook to live in Johannesburg. 6、The day when Nelson Mandela helped me was one of my happiest. 7、The last thirty years have seen the greatest number of laws stopping our rights and progress ,until today we have reached a stage where we have almost no rights at all.
8、The part of town in which they had to live were decided by white People. 9、The places outside the towns where they were sent to live were the poorest parts of South Africa. 10、We were put into a position in which we had either to accept we were less important ,or fight the government. 11、We first broke the law in a way which was peaceful.
英语必修五课文翻译FINDING THE SOLUTION
寻找解决的方法 你喜欢谜题吗?欧拉确实。你有没有解决一个你听到的听力任务?不!嗯,别担心,欧拉也一样!因为他热爱数学难题,他想知道为什么这一 不工作。所以他绕着小镇,在桥梁的K6nigsberg好几次。令他吃惊的是,他发现,他可以穿过六座桥在不走两次或回头路的自己(见图3),但是他却不能穿过所有的七座。他只需要知道为什么。所以他决定看这个问题的另一种方式。 他把自己的照片和七个桥镇像上面。他标志着土地和桥梁。然后他把一个点或点为中心的每个地区的土地。他加入了这些点在一起使用曲线去在桥梁(请参阅图1)。他注意到一些分有三行去他们(A,B和C)和一个有五个(D)。他想这是否重要,为什么这个难题将不会工作。三加五是奇数他称他们为“奇怪的”点。让他带走了谜清晰桥梁看到模式更明显(见图2)。 他想知道是否这个难题将工作如果他带一个桥走(如图3)。这一次的图是简单的(如图4),他数了数行去点A,B,C和d .这一次他们是不同的。两人都多的行(B有两个和D有四个)。两个和四个都是偶数所以欧拉称他们为“甚至”点。两个点在图4有一个奇怪的行数将他们(A 和C都有三个),所以他称他们为“奇怪的”点。 使用这个新的图欧拉开始在A点,沿着直线到B,然后C .然后他跟着曲线通过D和回A .最后他跟着其他曲线从背部D C,他通过完成模式。这一次它的工作。他已经能够超过图访问每个点但不会超过任何线两次或提升他的铅笔从页面。欧拉变得非常兴奋。现在他知道一些奇怪
的点是拼图的关键。但是,您仍然需要一些甚至点你的图,如果你想要它来工作。所以欧拉寻找一个一般规则: 如果一个图有超过两个奇怪的点,你不能超过它没有提升你的铅笔从页面或去在一线的两倍。 很快他去他的课本找到一些更多的数据。他看了看四个图表所示,发现当他利用他的统治,他可以告诉他是否可以在整个图没有采取他的铅笔从纸。他喜出望外。他不知道,但他的小难题已经开始一个全新的数学分支叫做“拓扑”。在他的荣誉这个谜题是“寻找的欧拉路径”。
人教版高一英语必修一定语从句及练习题
定语从句练习题 1.The place _______interested me most was the Children's Palace. A. Which B. where C. what D. in which 2.Do you know the man _______? A. whom I spoke B. to who spoke C. I spoke to D. that I spoke 3.This is the hotel _______last month. A. which they stayed B. at that they stayed C. where they stayed at D. where they stayed 4.Do you know the year ______the Chinese Communist Party was founded? A. which B. that C. when D. on which 5.That is the day ______I'll never forget. A. which B. on which C. in which D. when 6.The factory ______we'll visit next week is not far from here. A. where B. to which C. which D. in which 7.Great changes have taken place since then in the factory _______we are working. A. where B. that C. which D. there 8.This is one of the best films _______. A. that have been shown this year B. that have shown C. that has been shown this year D. that you talked 9.Can you lend me the book ______the other day? A. about which you talked B. which you talked C. about that you talked D. that you talked 10.The pen ______he is writing is mine. A. with which B. in which C. on which D. by which 11.They arrived at a farmhouse, in front of ______sat a small boy. A. whom B. who C. which D. that 12.The engineer ______my father works is about 50 years old. A. to whom B. on whom C. with which D. with whom 13.It there anyone in your class ______family is in the country? A. who B. who's C. which D. whose 14.I'm interested in ______you have said. A. all that B. all what C. that D. which 15.I want to use the same dictionary ______was used yesterday. A. which B. who C. what D. as 16.He isn't such a man ______he used to be. A. who B. whom C. that D. as 17.He is good at English, ______we all know. A. that B. as C. whom D. what 18.Li Ming, ______to the concert enjoyed it very much. A. I went with B. with whom I went C. with who I went D.I went with him 19.I don't like ______ as you read. A. the novels B. the such novels C. such novels D. same novels 20.He talked a lot about things and persons ________they remembered in the school. A. which B. that C. whom D. what 21.The letter is from my sister, ______is working in Beijing. A. which B. that C. whom D. who 22.In our factory there are 2,000 workers, two thirds of ____are women. A. them B. which C. whom D. who 23.You're the only person ______I've ever met ______could do it. A. who;/ B./; whom C. whom;/ D./; who 24.I lost a book, ______I can't remember now. A. whose title B. its title C. the title of it D. the title of that https://www.360docs.net/doc/4d18366513.html,st summer we visited the West Lake, ______Hangzhou is famous in the world. A. for which B. for that C. in which D. what 26.I have bought such a watch _______ was advertised on TV. A. that B. which C. as D. it