当前位置:首页 >> 英语 >>

人教版英语必修五 Unit 1 Reading Speaking and Writing_图文

Unit1 Workbook

Reading task FINDING THE SOLUTION

Try your best to go over the whole points of each picture without lifting your pencil from the paper or going over any line twice.
A A

D

B

D

B

C

C

Topology--Euler path

Euler

“Seven Bridges of Konigsberg” and the famous “Euler path”. What’s Euler’s puzzle?

Konigsberg is an island and there is a
river breaking here into two parts.

People wondered if they could walk around the city by crossing the seven bridges without going over any of them twice or going back on himself, but Euler found he couldn’t cross all the

seven ones. This is Euler’s puzzle.

How did Euler prepare for his research? The first stage in his research is to find the problem that he could cross six of the

bridges without going over any of them
twice or going back on himself, but he

couldn’t cross all seven.

The second stage is to think of a method: He drew a map and used dots and lines to simplify his analysis. Trying and observing over and over

again, he found a general rule.

What are the theories? It is topology. Euler’s theory is called “The Euler path”, which is expressed like this: If a figure has more than two odd points, you can’t go over it without lifting your pencil from the page or going over a line twice. So the general rule that Euler found is the even points and the odd points .

Conclusion
Euler’s theory (一笔画) 可以一笔画只有两种情况: 1. 没有奇数顶点。

2. 只有两个奇数顶点。
同学们如果对此类问题感兴趣, 可登录:

http://www.e-mu.cn/bbs/index.php

Read the text and find out the answers to the following questions. 1. How did Euler find a problem? 2. What’s the general rule to the puzzle? 3. What branch of mathematics did Euler start?

1. How did Euler find a problem?

When he walked around the town and over the bridges of Konigsberg, he was surprised to find that he could cross six of the bridges without going over any of them twice or going back on himself, but he couldn’t cross all seven.

2. What’s the general rule to the puzzle? If a figure has more than two odd points, you can’t go over it without lifting your pencil from the page or going over a line twice. 3. What branch of mathematics did Euler start?

He started a whole new branch of mathematics called “topology”.

Fill in the chart after reading the text. How many bridges could Euler cross without going across any of them twice? How did he try to solve the puzzle? What is an “odd” point? Six

By turning the map into a diagram. One which has an odd number of lines going to it.

How many odd points are there in Fig 2 on page 45? How many odd points are there in Fig 4 on page 45?

Four

Two

What is Euler’s rule?

If a figure has more than two odd points, you cannot go over it without lifting your pencil from the page or without going over a line twice.
Yes

Did his rule work with Figs 2 and 4?

Look at the following pictures. Check to see if you are right by using a pencil to go over the diagram. Remember not to miss any points or go over any line twice. Give a reason if there is no path.

Speaking task
In pairs discuss the life and work of any scientist that you know. Explain their achievements and recount stories that show interesting aspects of their character and their work. Talk about how they achieved their success.

Was it because of his / her talent, intelligence, hard work, persistence, confidence, curiosity, enthusiasm or luck?

Prepare to give a talk on your chosen
scientist to the class.

The following questions may help you with your discussion. 1.Who is the scientist you admire most? 2. What nationality is this scientist? 3.What kind of family did he/she come from? 4.What kind of education did he/she receive? 5.What did he/she achieve in his/her scientific work? 6. Why did he/she achieve great success?

Writing
Now write a report about your scientist, his/ her life, achievements and the key to his / her success. Before you begin to write, remember to put your information under three headings:
Life Achievements Key to success.

Please plan your report according to these steps: Introduction to the scientist, including dates, where he / she lived and worked and which branch of science; Life of the scientist; Achievements of your chosen scientist; Key to his / her success; General summary of his/her importance in science and why you chose him/her.


相关文章:
...Unit 1 Reading Speaking and Writing_图文.ppt
英语学习| 英语| 人教版英语必修五 Unit 1 Reading Speaking and Writing_英语_高中教育_教育专区。Unit1 ...
新人教版必修五Unit1 Reading and Writing课件_图文.ppt
人教版必修五Unit1 Reading and Writing课件 - Nic
新人教版高一英语必修一UNIT_5_Speaking_and_Writing_图文.ppt
人教版高一英语必修一UNIT_5_Speaking_and_Writing - Learning aims 1.To learn to recognise a hero. ...
人教版高中英语必修1 Unit 5 Reading and writingⅠ课....ppt
人教版高中英语必修1 Unit 5 Reading and writingⅠ课件(共23张PPT)_高一英语_英语_高中教育_教育专区。Book 1 Unit 5 Nelson Mandela -- a modern hero ...
...1 the Great scientists Reading and writing Coper....ppt
人教版英必修五 unit 1 the Great scientists Reading and writing Copernicus''' Revolutionary Theory_英语_高中教育_教育专区。Book 5 Unit 1 Great scientists...
人教版高中英语必修二课件:unit 1 Speaking and writing_图文_....ppt
人教版高中英语必修二课件:unit 1 Speaking and writing_英语_高中教育_教育专区。Writing on P7 Sample writing for Exercise 4 The class had a debate and ...
unit 1 speaking and writing_图文.ppt
unit 1 speaking and writing_高一英语_英语_高中教育_教育专区。高一人教新课标版必修一 Unit 1 Friendship Using language Speaking and writing Reading and ...
必修五Unit5 First aid-Reading and writing课件_图文.ppt
必修五Unit5 First aid-Reading and writing课件_英语_高中教育_教育专区。高中英语人教版必修五Unit5 First aid-Reading_and_writing[课件] ...
人教必修五 Unit 5 Reading, Listening and speaking_图文.ppt
人教必修五 Unit 5 Reading, Listening and speaking_英语_高中教育_教育专区。Unit 5 First Aid Using language-- Reading, Listening and speaking Task 1 ...
...Unit 1 Great Scientists-Reading and Writing[课件....ppt
人教版必修五 Unit 1 Great Scientists-Reading and Writing[课件] - Nicolaus Copernicus born: in Poland i...
必修5unit2Listening,speaking and writing_图文.ppt
必修5unit2Listening,speaking and writing_高二英语_英语_高中教育_教育专区。课标人教实验版 高二 Module 5 Unit 2 Using Language (II) Listening, Speaking & ...
高中英语人教版必修五 1单元 reading and writing U1P3.doc
高中英语人教版必修五 1单元 reading and writing ...reading, listening, speaking and writing Procedures...… 第 2 页共 3 页 学英语报社 http://www.e...
新建 必修五unit1 writing_图文.ppt
新建 必修五unit1 writing_高二英语_英语_高中教育_...总结 In a word/all in all Generally speaking ...
新人教版必修二Unit1 Reading and Writing课件_图文.ppt
人教版必修Unit1 Reading and Writing课件_英语_高中教育_教育专区。Unit 1 Cultural relics Reading ( 5m ) Read the text , then answer the following ...
人教版高中英语必修一unit 1 writing_图文.ppt
人教版高中英语必修一unit 1 writing - Writing Reading and Writing Page 7 Miss Wang has received a le...
...1Cultural relics- reading and writing_图文.ppt
人教版高中英语必修二课件:Unit 1Cultural relics- reading and writing - 人教课标版 高一必修2 Unit 1 C...
unit 1 listening,speaking and writing_图文.ppt
unit 1 listening,speaking and writing_英语_高中教育_教育专区。Listening, ...新人教版必修一Unit4 Li... 51下载券 book 6 unit 3 listeni... ...
...人教版必修二unit 1 Speaking and writing_图文.ppt
2018-2019学年高一英语人教版必修unit 1 Speaking and writing - Writing on P7 Sample writing for Exercise 4 ...
必修三unit1_reading_and_writing_图文.ppt
必修unit1_reading_and_writing - Learning aims ? 1. Learn the structure(结构) of a narrative(叙述的) st...
高二英语必修五:Unit 5 Writing_图文.ppt
高二英语必修五:Unit 5 Writing_英语_高中教育_教育...take a break every now and then while reading....暂无评价 19页 1下载券 【人教版】2016年高二英...