Lesson4
lesson4(初等模型)
3、斐波那契数列不只是在生小免问题中才会遇到， 它也出现在自然界、生活中...…，如植物的叶 序、菠萝的鳞片、树枝的生长、蜜蜂进蜂房的 路线、钢琴键盘等
初等模型（2）
一、录象机计数器的用途 二、优秀成果评选公平性问题 三、生小兔问题 四、动物繁殖的规律 五、棋子颜色的变化
问题所在：录象带读数并非随时间而均匀增长，是 先快后慢。
要建立的模型：计数器读数与录象带转过的时间之 间的关系。
2、问题分析——读数的增长为何先快后慢
左
计数器
右
r
建立模型：t = f ( n )
主动轮转速不变
3、模型假设
（1）录象带的线速度是常数v （2）计数器读数n 与右轮盘转的圈数（m ）成
v
v
v
v
v
w相对r较小，忽略该项
4、模型的建立
方法二、
左轮盘面积增加
= 录象带转过的长度与厚度的乘积
[(r kn)2 r 2 ] (vt)
（3）
4、模型的建立
方法三、微积分法 设t = f ( n ) 考虑从第n到第n+△n圈（此时第n+1圈未走完)
读数器为n时 第kn圈
因此：
q( p)
r1( p)r2 ( p)
p(N C) N(N C)
还有吗？
初等模型（2）
一、录象机计数器的用途 二、优秀成果评选公平性问题 三、生小兔问题 四、动物繁殖的规律 五、棋子颜色的变化
三、生小兔问题
1、问题： 兔子出生以后两个月就能生小兔，如果每月
生一次且恰好生一对小兔，且出生的兔子都成 活，试问一年以后共有多少对兔子，两年后有 多少对兔子?
新概念英语第三册-Lesson4
业工作的人多得多。 • These days, people who work in the sports world/entertainment industry often receive far more money than people who toil in other sectors.
Exercise
• 森林被称作地球之肺，因为它们为地球上的生物 提供氧气。 • Forests are frequently referred to as ‘the lungs of the earth’ for the simple reason that they provided oxygen for all the creatures on the earth.
Text
体育界/娱乐界的人挣的钱比在其他行业的人多 护士比医生挣得钱要少得多
•.
明星比农民挣得多得多
A receive more money than B.
A do more sth than B.
Text
• These days, people who do manual work often
Exercise
A is the power of TV that it can make a person • ______ suddenly famous. (09 辽宁) • A. Such B. This D. That D. So
Exercise
• 年轻人追星乃人之常情。 • Such is human nature that young people are often willing to run after their idol.
冀教版英语九年级_Lesson4—Lesson6_教材知识详解
Lesson4—Lesson6教材知识详解1. If so, what do you advise them to do? 如果有，你建议他们做什么？advise sb. (not)to do sth.建议某人(不)做某事。
advise为动词，意为“建议，劝告，忠告”，其名词形式为advice。
如：My sister advised me to wear that pink coat.我姐姐建议我穿那件粉色的外套。
常见的接动词不定式作宾语补足语的结构还有：ask sb. (not) to do sth.请求某人（不）做某事，tell sb. (not) to do sth.告诉某人（不）做某事，warn sb. (not) to do sth.警告某人（不）做某事。
2. Smoking is bad for your health. 吸烟对你的健康有害。
be bad for sth./sb.有害于某物或某人，其反义词组为be good for；意为“对……有好处”，同义词组为be harmful to sb.意为“对某人有害处”。
如：Smoking is harmful to your health.抽烟对你的健康有害处。
3. Every year, millions of people around the world die as a result of smoking.每年，全世界有上百万的人因吸烟而死亡。
①millions of意为“上百万的”。
当用hundred，thousand，million，billion 等词表示一个不具体的数字时，这些词用复数形式，而且常与介词of连用修饰名词。
hundred, thousand, million, billion等词前有具体教字时，其本身用单数形式，直接修饰名词。
如：During the National Day, millions of travellers came to the Summer Palace.国庆节期间，数百万的游客来到颐和园。
初中英语冀教版九年级全册《Lesson 4 Don't Smoke, Please !》预习课件
Language points
Millions of people around the world die as a result of smoking. 世界上数百万人因为吸烟而死亡。 as a result of 因此；由于；作为…..的结果
He was late as a result of the snow. 因为下雪，他迟到了。
Don't take any risks – just ring the police. 不要冒险行事——给警察打电话吧。
Once you get into the habit of smoking, it’s not easy to give it up. 一旦你养成吸烟的习惯，就很难戒掉。
Leቤተ መጻሕፍቲ ባይዱson 4 Don`t Smoke, Please.
smoke harmful disease
lung harm breathe public
law
New words
v. 吸烟 n. 烟 adj. 有害的；导致损害的 n. 病；疾病 n. 肺 v. & n. 伤害；损害 v. 呼吸 adj. 公共的；大众的 n. 法律
Language points
Don’t take that risk.
不要冒险。
take a risk 意为“冒险”
take the risk of doing sth. “冒险做……”
I didn’t want to take the risk of leaving John alone. 我不想冒险把约翰单独留下。
Law
n. 法律
The law is a system of rules that a society or government develops in order to deal with crime, business agreements, and social relationships.
高级英语lesson4课文翻译
The Trial That Rocked the World震撼世界的审判约翰.司科普斯John Scopes1、A buzz ran through the crowd as I took my place in the packed court onthat sweltering July day in1925.The counsel for my defence was the famouscriminal lawyer Clarence Darrow.Leading counsel for the prosecution was William Jennings Bryan,the silver-tongued orator,three times Democratic nominee forPresident of the United States,and leader of the fundamentalist movement that had brought about my trial.在一九二五年七月的那个酷热日子里，当我在挤得水泄不通的法庭里就位时，人群中响起一阵嘁嘁喳喳的议论声。
我的辩护人是著名刑事辩护律师克拉伦斯.达罗。
担任主控官的则是能说会道的演说家威廉.詹宁斯.布莱恩，他曾三次被民主党提名为美国总统候选人，而且还是导致我这次受审的基督教原教旨主义运动的领导人。
2、A few weeks before I had been an unknown school-teacher in Dayton,a little town in the mountains of Tennessee.Now I was involved in a trial reported the world over.Seated in court,ready to testify on my behalf,were a dozen distinguished professors and scientists,led by Professor Kirtley Mather of Harvard University.More than100reporters were on hand,and even radio announcers,who for the first time in history were to broadcast a jury trial."Don't worry,son,we'll show them a few tricks," Darrow had whispered,throwing a reassuring arm round my shoulder as we were waiting for the court to open.几个星期之前，我还只是田纳西州山区小镇戴顿的一名默默无闻的中学教员，而现在我却成了一次举世瞩目的庭审活动的当事人。
新概念英语第二册 Lesson 4 课件
5. centre n. 中心，中央 （美语写作center） shopping centre 购物中心 in the centre of ...在...的中心
e.g. 在北京的中心 in the centre of Beijing
6. abroad adv. 在国外 be abroad 在国外 go abroad 去国外 live abroad 住在国外 (国外定居) travel abroad 在国外旅游 study abroad 国外学习
The doctor has saved over two hundred people’s lives so far. 到目前为止，这位医生已挽救了二百多人的生命。
用for 或since填空。
1. Jill has been in Ireland since Monday. 2. Jill has been in Ireland for three days.
否定句：主语+have/has not+过去分词+其它 He has not been to Australia.
疑问句：Have/Has+主语+过去分词+其它 Has he been to Australia?
三、现在完成时的时间状语
1. 现在完成时与不明确的过去时间状语副词before，just， already，yet，ever等连用。
• I have just received a letter from my brother, Tim. He is in Australia. He has been there for six months. Tim is an engineer. He is working for a big firm and he has already visited a great number of different places in Australia. He has just bought an Australian car and has gone to Alice springs, a small town in the centre of Australia. He will soon visit Darwin. From there, he will fly to Perth. My brother has never been abroad before, so he is fending this trip very exciting.
新概念英语第三册Lesson4
Lesson 04 The double life of Alfred Bloggs1.New words and expression 生词和短语Double adj.两倍的, 双重的-- Double life, 双重生活-- Double character：双重人格-- Double chin：双下巴-- Double bed: 双人床, twin beds: 两张标准床。
Two-timer: a man who dates two women at the same time, 脚踩两只船。
manual adj.体力的〔= physical adj.身体的, 物质的-- manual work 体力工作-- manual labor 体力劳动者mental work 脑力工作collar n.衣领-- gold-collar adj. 金领阶层的。
- -white-collar adj.白领阶层的, 脑力劳动者〔those who do mental work-- blue-collar adj蓝领阶级的, 工人阶级的〔those who do manual workhot under the collar 怒气冲天-- He got hot under the collar when he knew that they laughed at him.make a collar: police catch criminals, 警察抓小偷sacrifice vt.牺牲,献出〔to give up for good purpose-- sacrifice one's life for the country-- sacrifice timesacrifice n.牺牲〔-- make many sacrificesdustman n.清洁工corporation n.公司, 大型股份-- multinational corporation: 跨国公司Company: 小公司Enterprise: 企业-- Joint-venture enterprise: 合资企业-- State-owned enterprise: 国有企业-- Township enterprise: 乡镇企业-- Non-government run school: 民办学校overalls n.工作服shower n.淋浴secret n.秘密adj.秘密的, 隐秘的Confidential adj.机密的keep secret 保密-- It's between you and me. 此事只介于你我之间。
冀教版英语六年级下册 Lesson 4 Did You Have Fun 课件
易错答疑
He didn’t his homework.正
确吗？
错误。 didn’t 后加原形动词 He didn’t do his homework.
课外拓展
Where did you go?
古人说：读万卷书，行万里路。 你曾经去过那里？“世界那么大， 我想去看看。“人在旅途，背上自 己的行囊，勇敢的迈出自己的步伐， 为了远方那高山流水的美景。为了 远方那诱人心魄的美妙体验，为了 远方那难求的丰盛美食。
含实义动词的一般过去时没有人称和数的变化， 句子中的动词一律用过去式。
典型例题
I bought some books yesterday. (改为否定句) I ____d_i_d_n_’t__b_u_y_a_n_y_b_o_o__ks_______ yesterday.
知识精讲
thought /θɔːt/ v. 想；认为(think的过去式) 例句： Danny thought the basketball was too heavy.
知识精讲
have fun 玩得高兴 同义短语： have a good time; enjoy oneself
例句： The children are having fun. 孩子们正玩得高兴。
典型例题
用所给单词的适当形式完成句子。 ___D_i_d___ they ___s_e_e___ (see) the film last night? 选出能替换画线部分的选项。 Did you have a good time last Sunday? A. have fun B. have a fun C. have funny
重点呈现
9. This afternoon, they taught each other a sport. 今天下午，他们相互教运动。
Lesson 4 An exciting trip 激动人心的旅行 - 课文讲解
6. He has just bought an Australian car and has gone to Alice Springs, a small town in the centre of Australia.
b. Yet
“已经” ; 用于疑问句，常放在句末。
c. Yet “仍然，还” ; 用于否定句，常放在句末。
在使用非延续动词时：应注意以下四点 1. 非延续动词不能与for 引导的表示一段的时间状语连用。 2. 非延续动词不能与how long 引导的疑问句连用。 3. 非延续性动词不用于进行时态，若是进行时态形式应译成将来时态的意思。 4. 非延续性动词与until引导的时间状语从句连用时，只能用于否定形式，不能用于肯定
2. He is in Australia.
3. He has been there for six months. have/has been to 意思是：“到过，去过...”，
表示曾经到过某地，但现在人已经不在那儿。
have / has gone to 意思是：“去了...”, 表示已经去了某地，现在人可能在去的途中或 已经到达。
centre /'sen tə/ n. 中心 In the centre of +地点 在...中心
abroad /ə 'brɔ:d/ adv. 在国外 • go abroad 去国外 • live abroad 国外定居 • study abroad 国外学习
二、课文 1. I have just received a letter from my
新概念英语第一册lesson 4
No ,it isn’t .
???
Is this your umbrella ?
Yes ,it is .
Thank you very much .
Lesson 4 Is this your…?
Numbers drill
New words & Expressions
Suit n. 一套外衣；西装，套装； /su:t/
一. Fill in the blanks：
My coat and my umbrella please! Here is my ticket . Thank you ,sir .
Key words and expressions:
um-brel-la
tick-et please 雨伞 票 num-are not=aren’t
C 1、-Is this a school? -____________ A. Yes, it isn't. B. Yes, it's. C. No, it isn't. B 2、-How old are you? -____, it is a secret. A. OK B. Sorry C. No C 3、_______ is your daughter. A. You B. He C. Here C 4、Is that her dress? A. Yes, this is. B. No, it is. C. Yes, it is.
New words & Expressions
school /sku:l/学校 teacher /ˈti:tʃə/ 老师
Oral English practice
This isn’t my… Is this your…? Yes,it is. / No it isn’t.
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堎底下中学“有效教学”实验教学工具
Lesson4 Sun is rising
设计 雪瑞 审核 姓名 班级
问题导读--评价单
学习目标
掌握词汇及短语：climb, one by one, change
接触词汇及短语：hillside, gently, blossom
学法指导
1. 自学教材第4课的单词，你可以听录音跟读，根据音标读，或者请教别人读。
做到发音标准，弄清词性和汉语意思。
2. 自学教材第5页的内容，仔细读课文至少五遍，弄清课文大意。
问题设计
一．请同学们根据课文内容完成下列句子
1. 太阳升起来了 Sun ____ ____
2. 冰雪融化了 Snow is ______
3. 花儿一朵朵绽放 ____ ____ _____,the flowersblossom
4. 看它带来了季节的变化 See it bring, ____ _____ _____
生成新问题
在自学中，你还有哪些疑惑和问题需要和同学们共同解决？
评价：
学生： 学科长： 老师：
问题生成--评价单
各位同学，请根据所学内容，认真完成下面的题目，并在小组中充分交流，经过
合作探究后准备展示。
Ⅰ、完成下列各题
1.Some of the boys in our class enjoy_____ football
A.to play the B.playing the C to play D.playing
2.The sun is rising _____ the window
A.across B.cross C.through D.though
3.The students went into the classroom______
A.one with one B.one by two C.one by one D.two by one
4.这儿有给你的一封天气预报
_____ is a _____ _______ for you
5.春天是石家庄最美丽的季节
2
Spring is _____ ______ ________ season in Shijiazhuang
Ⅱ、请同学们认真学唱这首歌曲，并在班上展示。
Ⅲ、今天同学们又收获了哪些有用的表达方式或者句型呢？请罗列：
Ⅱ、课堂学习评价：
学生：
小组：
问题训练--评价单
一.完成句子
1.春天，花儿一朵朵开放
The flowers blossom _____ ______ ________ in Spring
2.天气带来了季节的变化
Weather______ the _____ _____
3.春天来了，雪融化了
Spring____ ______,and snow______ _______
4.春天，微风掠过树木
_____ spring, wind blows gently______ the trees
二.用所给词的适当形式填空
1.The _____ girl is singing songs ______(gently)
2.Can you say the ______(change) in the weather
3.Look! Brian is ______(climb) the tree to get kite
4.His pose made all of us_____(laugh)
5.The boy is rather ______(scare) of his father
Ⅲ、老师评价：