人教版高中英语必修二Unit 3《Computers》(Warming up and reading)ppt课件
• •
Teaching aims and demands: This unit is concerned with teaching students a little more of the history and development of computers and their applications. Help students to express their own opinions in English. Teach them how to make decisions and reasoning. Learn to introduce something in time sequence.
解
(1)由题意知 y－a＝kx(0≤x≤12，k<0)，即 y＝a＋kx.
55＋a ∵当 x＝12 时， y＝－55， ∴－55＝a＋12k， 解得 k＝－ ， 12 55＋a ∴当 0≤x≤12 时，y＝a－ x， 12 55＋a ∴所求的函数关系式为 y＝a－ x(0≤x≤12)． 12 55＋29 (2)当 a＝29，x＝3 时，y＝29－ ×3＝8(℃)， 12 即当地球表面大气的温度是 29 ℃时， 3 km 上升的温度是 8 ℃.
[思路探索] 属于以二次函数模型为载体，考查利润最大问 题． 解
(1)∵广告费共 5 万元，设报纸广告费用 x 万元，则电
视广告费用 5－x 万元，利润为 w 万元． ∴R＝－2x2－(5－x)2＋13x＋11(5－x)－28(0<x≤5) ＝－3x2＋12x＋2(0<x≤5)． 当 x＝2 万元时，Rmax＝14 万元，此时电视广告费用为 3 万 元． ∴w＝14－5＝9(万元)． 即：报纸广告费 2 万元，电视广告费 3 万元．
•
•
Teach them how to use some of the words and expressions in the unit.
Learn to use The Present Perfect Passive Voice.
•
2．3
【课标要求】
函数的应用(Ⅰ)
1．明确一次函数、二次函数、分段函数可作为数学模型解 有关应用题． 2．初步掌握数学建模的方法． 3．通过数学建模的应用，培养应用意识． 【核心扫描】
(1)设甲地调运 x 台至 B 地， 该公司运往 A 和 B 两地的总运 费为 y 元，求 y 关于 x 的函数关系式． (2)求总运费不超过 1 000 元，问能有几种调运方案？ (3)求总运费最低的调运方案及最低运费．
[思路探索] 涉及电脑台数与运费的关系，属于一次函数类 型．
解
(1)甲地调运 x 台到 B 地， 则剩下(6－x)台电脑调运到 A
【训练 1】 大气中的温度随着高度的上升而降低，根据实 测的结果上升到 12 km 为止温度的降低大体上与升高的距离成 正比，在 12 km 以上温度一定，保持在－55 ℃. (1)当地球表面大气的温度是 a ℃时， 在 x km 的上空为 y ℃， 求 0≤x≤12 时，a、x、y 间的函数关系式； (2)当地球表面大气的温度是 29 ℃时，3 km 上空的温度是 多少？
题型二
二次函数模型
【例 2】 某公司通过报纸和电视两种方式做销售某种商品 的广告， 根据统计资料， 销售收入 R(万元)与报纸广告费用 x1(万 元)及电视广告费用 x2(万元)之间的关系有如下经验公式：
2 R＝－2x2 － x 1 2＋13x1＋11x2－28.
(1)若提供的广告费用共为 5 万元， 求最优广告策略； (即收 益最大的策略，其中收益＝销售收入－广告费用) (2)在广告费用不限的情况下，求最优广告策略(其中 x1，x2 ∈N)
试一试：用自己的语言叙述建模流程
提示 根据题意设出相应的量→列函数解析式→求解→回
归检验→结论． 想一想：用函数模型解决实际问题时，函数的解与实际问 题的解有何关系？
提示
用函数模型解实际问题时，求出函数的解一定要代
回实际问题检验，只有符合实际问题，才是实际问题的解．否 则，应舍去．
名师点睛 解实际应用题的步骤 求解函数应用问题的步骤是(四步八字)： (1)审题：弄清题意，分清条件和结论，选择数学模型； (2)建模：利用数学知识，建立相应的数学模型； (3)求模：求解数学模型，得出数学结论； (4)还原：将数学问题还原为实际问题的意义.
1．一次函数、分段函数、二次函数模型的应用．(重点) 2．建立函数模型(建模)解决实际问题．(难点)
自学导引 几种常见的函数模型 (1)一次函数模型：f(x)＝ kx＋b (k、b 为常数，k≠0)； k (2)反比例函数模型：f(x)＝ x＋b (k、b 为常数，k≠0)； 2 (3)二次函数模型： f(x)＝ ax ＋bx＋c (a、 b、 c 为常数， a≠0)； (4)分段函数模型：这个模型实际是以上两种或多种模型的 综合，因此应用也十分广泛．
(3)∵y＝20x＋960 是 R 上的增函数， 又 0≤x≤6，x∈N， ∴当 x＝0 时，y 有最小值为 960 元． ∴从甲地运 6 台到 A 地，从乙地运 8 台到 B 地、运 4 台到 A 地，运费最低为 960 元．
规律方法 根据已知条件建立函数关系式， 将实际问题数学 化，注意标注自变量的取值范围．
题型一
一次函数模型
【例 1】 某电脑公司在甲、乙两地各有一个分公司，甲分 公司现有电脑 6 台，乙分公司有同一型号的电脑 12 台．现 A 地某单位向该公司购买该型号的电脑 10 台， B 地某单位向该公 司购买该型号的电脑 8 台．已知甲地运往 A、B 两地每台电脑 的运费分别是 40 元和 30 元，乙地运往 A、B 两地每台电脑的 运费分别是 80 元和 50 元．
地；乙地应调运(8－x)台电脑至 B 地，运往 A 地 12－(8－x)＝(x ＋4)台电脑(0≤x≤6，x∈N)． 则总运费 y＝30x＋40(6 － x) ＋50(8 － x)＋80(x＋ 4) ＝20x＋ 960， ∴y＝20x＋960(x∈N，且 0≤x≤6)．
(2)若使 y≤1 000，即 20x＋960≤1 000，得 x≤2. 又 0≤x≤6，x∈N， ∴0≤x≤2，x∈N. ∴x＝0,1,2，即能有 3 种调运方案．
Teaching aims and demands: This unit is concerned with teaching students a little more of the history and development of computers and their applications. Help students to express their own opinions in English. Teach them how to make decisions and reasoning. Learn to introduce something in time sequence.
解
(1)由题意知 y－a＝kx(0≤x≤12，k<0)，即 y＝a＋kx.
55＋a ∵当 x＝12 时， y＝－55， ∴－55＝a＋12k， 解得 k＝－ ， 12 55＋a ∴当 0≤x≤12 时，y＝a－ x， 12 55＋a ∴所求的函数关系式为 y＝a－ x(0≤x≤12)． 12 55＋29 (2)当 a＝29，x＝3 时，y＝29－ ×3＝8(℃)， 12 即当地球表面大气的温度是 29 ℃时， 3 km 上升的温度是 8 ℃.
[思路探索] 属于以二次函数模型为载体，考查利润最大问 题． 解
(1)∵广告费共 5 万元，设报纸广告费用 x 万元，则电
视广告费用 5－x 万元，利润为 w 万元． ∴R＝－2x2－(5－x)2＋13x＋11(5－x)－28(0<x≤5) ＝－3x2＋12x＋2(0<x≤5)． 当 x＝2 万元时，Rmax＝14 万元，此时电视广告费用为 3 万 元． ∴w＝14－5＝9(万元)． 即：报纸广告费 2 万元，电视广告费 3 万元．
•
•
Teach them how to use some of the words and expressions in the unit.
Learn to use The Present Perfect Passive Voice.
•
2．3
【课标要求】
函数的应用(Ⅰ)
1．明确一次函数、二次函数、分段函数可作为数学模型解 有关应用题． 2．初步掌握数学建模的方法． 3．通过数学建模的应用，培养应用意识． 【核心扫描】
(1)设甲地调运 x 台至 B 地， 该公司运往 A 和 B 两地的总运 费为 y 元，求 y 关于 x 的函数关系式． (2)求总运费不超过 1 000 元，问能有几种调运方案？ (3)求总运费最低的调运方案及最低运费．
[思路探索] 涉及电脑台数与运费的关系，属于一次函数类 型．
解
(1)甲地调运 x 台到 B 地， 则剩下(6－x)台电脑调运到 A
【训练 1】 大气中的温度随着高度的上升而降低，根据实 测的结果上升到 12 km 为止温度的降低大体上与升高的距离成 正比，在 12 km 以上温度一定，保持在－55 ℃. (1)当地球表面大气的温度是 a ℃时， 在 x km 的上空为 y ℃， 求 0≤x≤12 时，a、x、y 间的函数关系式； (2)当地球表面大气的温度是 29 ℃时，3 km 上空的温度是 多少？
题型二
二次函数模型
【例 2】 某公司通过报纸和电视两种方式做销售某种商品 的广告， 根据统计资料， 销售收入 R(万元)与报纸广告费用 x1(万 元)及电视广告费用 x2(万元)之间的关系有如下经验公式：
2 R＝－2x2 － x 1 2＋13x1＋11x2－28.
(1)若提供的广告费用共为 5 万元， 求最优广告策略； (即收 益最大的策略，其中收益＝销售收入－广告费用) (2)在广告费用不限的情况下，求最优广告策略(其中 x1，x2 ∈N)
试一试：用自己的语言叙述建模流程
提示 根据题意设出相应的量→列函数解析式→求解→回
归检验→结论． 想一想：用函数模型解决实际问题时，函数的解与实际问 题的解有何关系？
提示
用函数模型解实际问题时，求出函数的解一定要代
回实际问题检验，只有符合实际问题，才是实际问题的解．否 则，应舍去．
名师点睛 解实际应用题的步骤 求解函数应用问题的步骤是(四步八字)： (1)审题：弄清题意，分清条件和结论，选择数学模型； (2)建模：利用数学知识，建立相应的数学模型； (3)求模：求解数学模型，得出数学结论； (4)还原：将数学问题还原为实际问题的意义.
1．一次函数、分段函数、二次函数模型的应用．(重点) 2．建立函数模型(建模)解决实际问题．(难点)
自学导引 几种常见的函数模型 (1)一次函数模型：f(x)＝ kx＋b (k、b 为常数，k≠0)； k (2)反比例函数模型：f(x)＝ x＋b (k、b 为常数，k≠0)； 2 (3)二次函数模型： f(x)＝ ax ＋bx＋c (a、 b、 c 为常数， a≠0)； (4)分段函数模型：这个模型实际是以上两种或多种模型的 综合，因此应用也十分广泛．
(3)∵y＝20x＋960 是 R 上的增函数， 又 0≤x≤6，x∈N， ∴当 x＝0 时，y 有最小值为 960 元． ∴从甲地运 6 台到 A 地，从乙地运 8 台到 B 地、运 4 台到 A 地，运费最低为 960 元．
规律方法 根据已知条件建立函数关系式， 将实际问题数学 化，注意标注自变量的取值范围．
题型一
一次函数模型
【例 1】 某电脑公司在甲、乙两地各有一个分公司，甲分 公司现有电脑 6 台，乙分公司有同一型号的电脑 12 台．现 A 地某单位向该公司购买该型号的电脑 10 台， B 地某单位向该公 司购买该型号的电脑 8 台．已知甲地运往 A、B 两地每台电脑 的运费分别是 40 元和 30 元，乙地运往 A、B 两地每台电脑的 运费分别是 80 元和 50 元．
地；乙地应调运(8－x)台电脑至 B 地，运往 A 地 12－(8－x)＝(x ＋4)台电脑(0≤x≤6，x∈N)． 则总运费 y＝30x＋40(6 － x) ＋50(8 － x)＋80(x＋ 4) ＝20x＋ 960， ∴y＝20x＋960(x∈N，且 0≤x≤6)．
(2)若使 y≤1 000，即 20x＋960≤1 000，得 x≤2. 又 0≤x≤6，x∈N， ∴0≤x≤2，x∈N. ∴x＝0,1,2，即能有 3 种调运方案．
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2019年人教版高中英语 必修二 Unit3 《Computers ---Warming up 》 课件 (共33张PPT)精品物理
Para- Para- Paragraph 1 graph 2 graph 3
Topic sentence
Supporting details
(key words)
Topic sentence
Paragraph 1
Over time I have been changed quite a lot.
Do you know who I am?
abacus
[`æ bəkəs] n. 算盘
I am very small. I can be used for calculating. In our class, a lot of students use me to solve maths problems. Do you know who I am?
Charles Babbage.
1642 The computer began as a__c_a_l_c_u_l_a_t_in_g__m__a_c__h_in__e___.
Task 3
Detail reading
Find the topic sentence of each paragraph and the supporting details.
A topic sentence is usually the first or last sentence of a paragraph.
Task 4
Discuss
& speaking
What can we do on a computer in our daily life?
search for some information
Answer the questions.
人教版英语必修二unit3 computers warming up PPT课件
Alan Turing
4.What were you called in 1936?
.
A universal machine
1. Read the passage and finish the timeline below.
1642 The computer began as a calculating machine．
abacus
I am very small. I can be used for calculating. In China, a lot of students use me when solving mathematical problems.
Do you know who I am?
calБайду номын сангаасulator
PC laptop PDA
virtual keyboards keyboard-vest
What’s the main idea of the text? A. What a computer is. B. What a computer is used for. C. How the computer becomes popular. D. The history of the computer
Paragraph 2
Topic
These changes only became
sentence possible as my memory
improved
•tubes
Supporting •transistors
details
•chips
•network
•World Wide Web
Topic sentence
4.What were you called in 1936?
.
A universal machine
1. Read the passage and finish the timeline below.
1642 The computer began as a calculating machine．
abacus
I am very small. I can be used for calculating. In China, a lot of students use me when solving mathematical problems.
Do you know who I am?
calБайду номын сангаасulator
PC laptop PDA
virtual keyboards keyboard-vest
What’s the main idea of the text? A. What a computer is. B. What a computer is used for. C. How the computer becomes popular. D. The history of the computer
Paragraph 2
Topic
These changes only became
sentence possible as my memory
improved
•tubes
Supporting •transistors
details
•chips
•network
•World Wide Web
Topic sentence
Unit 3 Computers教学设计 ( 人教高中英语必修2)
Unit 3 Computers本堂课包括Warming up 和 Reading 两部分。
他们是语言知识和文化意识的输入过程；是语言技能、情感态度和学习策略的培养过程，也是语言输出过程。
在整个教学过程中，它是培养学生阅读能力的主要过程，教学重点是阅读技能的培养、交际能力及情感态度的提升。
Warming up 部分根据每个人对电脑的看法不同让学生就“Do you like computer?”进行小组探究和讨论，从自身实际出发谈论自己的看法，有助于激发学生对于整个单元的学习兴趣。
Reading 部分（Computers ）主要讲述的是电脑的发展史，通过一系列问题的设置让学生能够在全面理解文章的基础上提高信息处理、加工和学习的能力。
Knowledge objectives:掌握以下词语和句型：Calculate, sum, solve, simplify, artificial, intelligence, revolution, reality, totally, application, finance, in common, over time, as a result, from···on, so···that. Ability objectives:训练学生一定的阅读技巧，使他们掌握一些有效的学习策略，从而提高阅读速度和篇章理解的准确性，并养成一定的自主学习能力；培养学生快速阅读的能力、捕捉信息的能力及运用语言进行交际的能力。
Emotion objectives:通过对“computer”的学习，启发学生思考电脑给我们带来的影响，从而以一种正确的方式利用电脑和网络资源；另外通过电脑的发展历程让学生意识到科技对生活的影响。
1. 教学重点：1.了解计算机的发展过程，进一步认识计算机的演变以及对人类的影响。
2.训练学生的阅读技巧，提高学生阅读速度和理解能力。
人教版高中英语必修二课件：Unit 3 Computers-Warming up+reading (共28张PPT)
send emails to friends
download music and filon the computer
draw pictures
use a computer
for school work
take part in
chat groups
Who am I ?
TV set
Riddles(谜语):
I am very small. I can be used for calculating. In China, a lot of students use me when solving mathematical problems.
Who am I?
The computer grew rapidly both in 1936 size and in brainpower.
The computer had grown as large 1940s as a room. The first family of computers was 1960s connected to each other. Computers were used in offices 1970s and homes. Computers connect people all over Now the world together.
Reading Comprehension III Match the main ideas and the paragraphs. These changes only became Para 1: possible as my memory improved. Para 2: Since the 1970s many new applications have been found for me. Para 3: Over time I have been changed quite a lot.
人教版高中英语 必修二 Unit3 《Computers ---Warming up and reading》 课件 (共24张PPT).ppt
1960s
Match the words with their meanings.
1 A monitor is 2 The screen is 3 A keyboard is 4 A mouse is 5 A CD-ROM is 6 A hard disk is
(a) the part of a computer that stores information.
calculator
I can be used for calculating. Besides, I can also be used for watching DVD, sending e-mail and communicating through the Internet. However, I am not a PC, because I’m small enough for you to take me with you.
Do you know who I am?
abacus
I am very small. I can be used for calculating. In China, a lot of students use me when solving mathematical problems.
Do you know who I am?
solve any mathematical problems.
F
2. People began to realize that the computer got
cleverer and quicker with time passing. T
3. The computer began to serve the human race
Match the words with their meanings.
1 A monitor is 2 The screen is 3 A keyboard is 4 A mouse is 5 A CD-ROM is 6 A hard disk is
(a) the part of a computer that stores information.
calculator
I can be used for calculating. Besides, I can also be used for watching DVD, sending e-mail and communicating through the Internet. However, I am not a PC, because I’m small enough for you to take me with you.
Do you know who I am?
abacus
I am very small. I can be used for calculating. In China, a lot of students use me when solving mathematical problems.
Do you know who I am?
solve any mathematical problems.
F
2. People began to realize that the computer got
cleverer and quicker with time passing. T
3. The computer began to serve the human race
人教新课标必修2Unit-3-Computers-Warming-up--reading-(-共43张-ppt-)(共43张PPT)
1, 计算机器 3，分析机器 5， 人工智能 7， 从那时起 9，万维网 11， 医疗手术
2，简化难题 4，技术革命 6，通用机器 8， 随着时间的推移 10，探索月球 12，忠实的朋友
Step3. Careful-reading According to the time order, read this paragraph carefully and try to finish the following chart
fast convenient easy
Discussion What are the advantages and disadvantages of the computers?
Talk freely
Different attitudes towards computrk:
网络在我们的生活中起着重要的作用，然而不同的人对于上网持有不同的观 点。 请根据下表内容介绍有关情况。 写作要求：1. 内容连贯，语句通顺； 2. 字数在100字左右； 参考词汇：上网 (surf the Internet)
态度
赞成 反对 我的观点……
原因
方便了人们的交流，丰富了人们的生活， 轻松地获得最新的信息。 上网太久影响工作和学习，损害眼睛。
With the development of…, …is playing a more and more important part in our daily life and different people hold different opinions about it. On the one hand, some people…because….Besides,…However, others… As far as I’m concerned,…
高中英语 Unit3 Computers Warming up and reading课
• Help students to express their own opinions in English. Teach them how to make decisions and reasoning. Learn to introduce something in time sequence.
I was brought into people’s homes.
True or False?
F 1. In 1642 I began as a calculating machine and
could solve any cmaalctuhleamtiantgical problem.
F 2. My real father was CAhlarnleTsuBrianbgbage, who
• Teaching aims and demands:
• This unit is concerned with teaching students a little more of the history and development of computers and their applications.
• An abacus is an old calculating machine used in China until now.
• A huge computer is built to solve some mathematical problems. But it is too big.
abacus
huge computer calculator
personal computer notebook computer
Pre-reading
I was brought into people’s homes.
True or False?
F 1. In 1642 I began as a calculating machine and
could solve any cmaalctuhleamtiantgical problem.
F 2. My real father was CAhlarnleTsuBrianbgbage, who
• Teaching aims and demands:
• This unit is concerned with teaching students a little more of the history and development of computers and their applications.
• An abacus is an old calculating machine used in China until now.
• A huge computer is built to solve some mathematical problems. But it is too big.
abacus
huge computer calculator
personal computer notebook computer
Pre-reading
人教版高一英语必修二 Unit 3 Computers Warming up and reading 课件(共24张PPT)
C. The computer was not connected by a network until in the early 1960s.
D. Now the computer can only be used to deal with information.
2.Skimming: What’s the topic
abacus 算盘
calculator
计算器
a huge computer
Oh, so big!`
PC: personal computer
笔记本电脑
PDA: personal digital assistant
个人数码 助理
robot
机器人
StepⅡ Reading
…
1.Discussion
()
• 4.The larger the computer is, the more memory it has.( )
StepⅢ: conclus三ion.summary
The development of computers:
calculating machine analytical machine universal machine PC laptop robot
D.The history of the computer.
Q2. What can you infer from the text?
A. The computer has artificial intelligence.
B. The computer changes a lot over the years.
1970s Computers were used in offices and homes Now Computers connect people all over the world together
D. Now the computer can only be used to deal with information.
2.Skimming: What’s the topic
abacus 算盘
calculator
计算器
a huge computer
Oh, so big!`
PC: personal computer
笔记本电脑
PDA: personal digital assistant
个人数码 助理
robot
机器人
StepⅡ Reading
…
1.Discussion
()
• 4.The larger the computer is, the more memory it has.( )
StepⅢ: conclus三ion.summary
The development of computers:
calculating machine analytical machine universal machine PC laptop robot
D.The history of the computer.
Q2. What can you infer from the text?
A. The computer has artificial intelligence.
B. The computer changes a lot over the years.
1970s Computers were used in offices and homes Now Computers connect people all over the world together
人教版必修2 unit3 Computers P1 Warming up (共33张PPT)
abacus
I can be used for calculating. Besides, I can also be used for watching DVD, sending e-mail and communicating through the Internet. However, I am not a PC, because I’m small enough for you to take me with you. Do you know who I am?
A handbag?
A toy?
What is a computer?
A computer is a machine which keeps knowledge in its memory and does work on that knowledge. This knowledge is kept in symbols; it is called data. A computer usually has a monitor to show results. However, some computers can speak. These computers can be used for voice mail.
2. the part of the monitor that you look at
3. something you use to click on things (files, etc.)
Unit 3
Computers
Words review
ቤተ መጻሕፍቲ ባይዱ
calculate universal
vt. 计算
adj. 普遍的；通用的； 宇宙的
I can be used for calculating. Besides, I can also be used for watching DVD, sending e-mail and communicating through the Internet. However, I am not a PC, because I’m small enough for you to take me with you. Do you know who I am?
A handbag?
A toy?
What is a computer?
A computer is a machine which keeps knowledge in its memory and does work on that knowledge. This knowledge is kept in symbols; it is called data. A computer usually has a monitor to show results. However, some computers can speak. These computers can be used for voice mail.
2. the part of the monitor that you look at
3. something you use to click on things (files, etc.)
Unit 3
Computers
Words review
ቤተ መጻሕፍቲ ባይዱ
calculate universal
vt. 计算
adj. 普遍的；通用的； 宇宙的
人教版高中英语必修二 unit 3 computers warming up(共21张PPT)
A laptop
人教版高中英语必修二 unit 3 computers warming up(共21张PPT)
人教版高中英语必修二 unit 3 computers warming up(共21张PPT)
CPU (centrahl ard disc硬盘
processing Unit)中央处理器
chips 主板
ParWt2hHatisdtoortyhey have in common?共同点
abacus calculator Huge computer
What’s next?
Robot
PDA 人教版高中英语必修二 unit 3 computers warming up(共21张PPT)
laptop
desktop
人教版高中英语必修二 unit 3 computers warming up(共21张PPT)
1. Words about computers
2. History of development of computers
3. Comparison among abacus, calculator, PC and PDA
4. Speaking practice
5. Summary on the advantages and disadvantages of using a computer
人教版高中英语必修二 unit 3 computers warming up(共21张PPT)
人教版高中英语必修二 unit 3 computers warming up(共21张PPT)
人教版高中英语必修二 unit 3 computers warming up(共21张PPT)
display card 显卡
人教版高中英语必修二 unit 3 computers warming up(共21张PPT)
人教版高中英语必修二 unit 3 computers warming up(共21张PPT)
CPU (centrahl ard disc硬盘
processing Unit)中央处理器
chips 主板
ParWt2hHatisdtoortyhey have in common?共同点
abacus calculator Huge computer
What’s next?
Robot
PDA 人教版高中英语必修二 unit 3 computers warming up(共21张PPT)
laptop
desktop
人教版高中英语必修二 unit 3 computers warming up(共21张PPT)
1. Words about computers
2. History of development of computers
3. Comparison among abacus, calculator, PC and PDA
4. Speaking practice
5. Summary on the advantages and disadvantages of using a computer
人教版高中英语必修二 unit 3 computers warming up(共21张PPT)
人教版高中英语必修二 unit 3 computers warming up(共21张PPT)
人教版高中英语必修二 unit 3 computers warming up(共21张PPT)
display card 显卡