人教版高中英语必修二unit2 section3 Using Language课件
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Biblioteka 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.
(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．
[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．
(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
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．
规律方法 二次函数模型根据实际问题建立函数解析式后 可利用配方法，判别式法、换元法及单调性等方法求函数的最 值．
【训练 2】 心理学家发现，学生对概念的接受能力 y 与提 出概念所用的时间 x(单位：分)之间满足函数关系式 y＝－0.1x2 ＋2.6x＋43(0≤x≤30)，y 值越大，表示接受能力越强． (1)x 在什么范围内， 学生的接受能力逐步增强？x 在什么范 围内，学生的接受能力逐步降低？ (2)第 10 分钟时，学生的接受能力是多少？ (3)第几分钟时，学生的接受能力最强？
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)
【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？
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 ℃.
(2)∵广告费用不限， ∴R(x)＝f(x)＋g(x)－28，
2 其中 f(x)＝－2x2 1＋13x1，g(x)＝－x2＋11x2，
∵x1，x2∈N， ∴f(x)max＝f(3)＝21， g(x)max＝f(5)＝f(6)＝30. 欲使 w 最大，所以 g(x)取最大值时 x2＝5， 此时 w＝21＋30－28－8＝15. 即报纸广告费用为 3 万元，电视广告费用为 5 万元时为最 优广告策略．
成才之路 ·英语
人教版 ·必修2
Unit 2 The Olympic Games
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】
1．一次函数、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)
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．
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．
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人教高中英语必修2Unit3Using Language 课件 (3)
1. 如何握笔也和近视有关。（short-sightedness， relate，hold a pen)
How to hold a pen is also related
to short-sightedness.
2. 1968年：第一次允许妇女参加奥运会射击比赛。 （first, allow, compete in, the Olympic shooting）
(以do为例，完成表格）
1 一般现在时
do/does
2 一般过去时
did
3 现在进行时
am/is/are doing
4 过去进行时
was/were doing
5 现在完成时
have/has done
6 过去完成时
had done
7 一般将来时 am/is/are/going to/will do
8 含情态动词
The baby, must, look after, well
The baby must be looked after well.
Miss Hu told me that the cat __w_a_s__b_e_in_g__w_a_s_h_e_d__(wash) when I called her.
The new film 2012 is being shown in the cinema all over the world.
consider, the strongest boy, in our class
xxx is considered as the strongest boy in our class.
Dan Robinson has been worried all week. Last Tuesday he received a letter from the local police. In the letter he was asked to call at the station. Dan wondered why he was wanted by the police, but he went to the station yesterday and now he is not worried anymore. At the station, he was told by a smiling policeman that his bicycle had been found. Five days ago, the policeman told him, the bicycle was picked up in a small village four hundred miles away. It is now being sent to his home by train. Dan was most surprised when he heard the news. He was amused too, because he never expected the bicycle to be found. It was stolen twenty years ago when Dan was a boy of fifteen!
人教版高中英语必修2Unit3Using Language 课件
• 5. 你的爸爸每天锻炼身体吗？是的, 他锻炼身体。 Does your father do/take exercise
every day? Yes, he does.
• 6. 他昨天不在家。 He wasn’t at home. 或： He didn’t stay at home.
• 7. 他们昨天在学校吗？不，不在学校。 Were they at school yesterday? No, they weren’t.
• 8. 她的妈妈昨天早上住院了吗？是的，住院了。 Was her mother in hospital yesterday morning? Yes, she was.
• 9. 我们刚才没有打篮球。 We didn’t play basketball just now.
• 10. 你刚才买了一本书吗？不，没有买。 Did you buy a book just now? No, I didn’t.
The super codes in English 英语超级密码
The problems?
• 1. How to write simple sentences right?
• 2. How to recite the important rules quickly?
• 3. How to apply the rules to practice?
• 11. 这本书昨晚被翻译成了英语。 （translatranslated into English last night.
• 12. My mother made me buy some salt. (变被动语态)
→ I was made to buy some salt by my mother.
every day? Yes, he does.
• 6. 他昨天不在家。 He wasn’t at home. 或： He didn’t stay at home.
• 7. 他们昨天在学校吗？不，不在学校。 Were they at school yesterday? No, they weren’t.
• 8. 她的妈妈昨天早上住院了吗？是的，住院了。 Was her mother in hospital yesterday morning? Yes, she was.
• 9. 我们刚才没有打篮球。 We didn’t play basketball just now.
• 10. 你刚才买了一本书吗？不，没有买。 Did you buy a book just now? No, I didn’t.
The super codes in English 英语超级密码
The problems?
• 1. How to write simple sentences right?
• 2. How to recite the important rules quickly?
• 3. How to apply the rules to practice?
• 11. 这本书昨晚被翻译成了英语。 （translatranslated into English last night.
• 12. My mother made me buy some salt. (变被动语态)
→ I was made to buy some salt by my mother.
人教版高中英语必修2 Unit3Using Language
PDA
Personal Digital Assistant
I’m a machine that works automatically. I can do a wide variety of tasks, especially suitable for doing jobs too boring, difficult, or dangerous for human beings. Do you know who I am?
Mobile phone
Car
Computer
Riddles (谜语)
I am very old now. I was born in China. Many people used me for calculating in the past, but now I am a bit lonely because they don’t like me now. Do you know who I am?
Put them in an order according to the time when they appeared.
( 2 ) analytical machine ( 5 ) laptop ( 1 ) calculating machine ( 6 ) robot ( 4 ) PC ( 3 ) universal machine
was
1970s
Computers were used in offices and homes.
Computers _c_o_n_n_e_c_t__ people all over Now the world together.
From the timeline above, we can know that the passage is written in an order of __t_im__e______.
Personal Digital Assistant
I’m a machine that works automatically. I can do a wide variety of tasks, especially suitable for doing jobs too boring, difficult, or dangerous for human beings. Do you know who I am?
Mobile phone
Car
Computer
Riddles (谜语)
I am very old now. I was born in China. Many people used me for calculating in the past, but now I am a bit lonely because they don’t like me now. Do you know who I am?
Put them in an order according to the time when they appeared.
( 2 ) analytical machine ( 5 ) laptop ( 1 ) calculating machine ( 6 ) robot ( 4 ) PC ( 3 ) universal machine
was
1970s
Computers were used in offices and homes.
Computers _c_o_n_n_e_c_t__ people all over Now the world together.
From the timeline above, we can know that the passage is written in an order of __t_im__e______.
人教高中英语必修2Unit3Using Language 课件 (1)
Free talk: What do you think an android can do?
dancing
Reading
Read the text to find out the following phrases.
1.和人一样大小 as big as a human
2.在足球队里
不管怎样，在我过目不忘的电子脑的 帮助下，运用智能就是我的一切。
Andy is a _s_t_r_ik_e_rin the football team and he
can r_u_n__ very fast. Last year their team went to Seattle, and took part in a football competition. They won the _s_ec_o_n_d_ place. But Andy was not _h_a_p_p_y_with the result, because he thinks that the team who won the first place _c_h_e_a_t_e_d, as they
1. How often are the androids allowed to get together to play a football game? About once a year.
2. What helps Andy to move and think like a human?
His computer helps him to move and think like a human. 3. What does Andy’s programmer program him with?
Read the text loudly to find some difficult sentences.
dancing
Reading
Read the text to find out the following phrases.
1.和人一样大小 as big as a human
2.在足球队里
不管怎样，在我过目不忘的电子脑的 帮助下，运用智能就是我的一切。
Andy is a _s_t_r_ik_e_rin the football team and he
can r_u_n__ very fast. Last year their team went to Seattle, and took part in a football competition. They won the _s_ec_o_n_d_ place. But Andy was not _h_a_p_p_y_with the result, because he thinks that the team who won the first place _c_h_e_a_t_e_d, as they
1. How often are the androids allowed to get together to play a football game? About once a year.
2. What helps Andy to move and think like a human?
His computer helps him to move and think like a human. 3. What does Andy’s programmer program him with?
Read the text loudly to find some difficult sentences.
人教高中英语必修2Unit3Using Language 课件 (2)
阅读高频词汇
PC /tablet /laptop/chip/tube click/calculate/download/upload/update operator/program/network/application universal/artificial/technological revolution
➢ 5.simple---adv. _si_m_p_ly__---v.s_im_p_li_fy___ ➢ 6. intelligent---n. i_n_te_ll_ig_en_c_e ____ ➢ 7. explore---n. _e_xp_l_or_e_r __;__ex_p_lo_ra_t_io_n_
4. It was midnight __w_h_e_nI finished my homework and went to bed.
5. It is 6 years _s_i_n_ce__I begain to build my body.
Remove the difficulties:（难不倒）(3')
2.Confidence and determination will result from much progress in your study.
in
3.He is on his way to become a famous
singer.
becoming
Fill in the blanks with proper words.
(5')
1.It will take five days _b_e_fo_r_e we finish this unit.
2.It will be several minutes b_e_f_o_re_we end this class.
PC /tablet /laptop/chip/tube click/calculate/download/upload/update operator/program/network/application universal/artificial/technological revolution
➢ 5.simple---adv. _si_m_p_ly__---v.s_im_p_li_fy___ ➢ 6. intelligent---n. i_n_te_ll_ig_en_c_e ____ ➢ 7. explore---n. _e_xp_l_or_e_r __;__ex_p_lo_ra_t_io_n_
4. It was midnight __w_h_e_nI finished my homework and went to bed.
5. It is 6 years _s_i_n_ce__I begain to build my body.
Remove the difficulties:（难不倒）(3')
2.Confidence and determination will result from much progress in your study.
in
3.He is on his way to become a famous
singer.
becoming
Fill in the blanks with proper words.
(5')
1.It will take five days _b_e_fo_r_e we finish this unit.
2.It will be several minutes b_e_f_o_re_we end this class.
高中英语人教版必修2 Unit3 Using language
on the/one’s way (to) 在(去……)的路上
by the way
顺便提一下
all the way
自始自终; 完全地
in this way
用这种方法
用way的相关短语填空。 1. Perhaps he should have said nothing,
but _i_n__a_w__a_y it was his duty. 2. I’m sorry but your leg is _in__t_h_e_w__a_y_. 3. I got caught in the heavy rain _o_n__th_e__w_a_y
Last year, our team won _s_ec_o_n_d__p_l_a_c_e_ in Seattle, Washington, USA.
Our program
mer
Our programmer is like our _c_o_a_c_h_. She programs us with all the possible moves and prepares reliable moves for us to use if a new situation _a_r_is_e_s_. In this way I can make up new moves using my “_a_r_ti_f_ic_i_a_l _in_t_e_ll_i_g_en__ce_”.
1. Personally, I think the team that won first place cheated. 我个人认为得冠军的那个队作弊了。
personally adv. 就自己而言; 就我个人来说
e.g. She didn’t like the plan, but personally I see nothing wrong with it. 她不喜欢这项计划, 但我本人觉得没 什么不好的。
人教高中英语必修2Unit3Using language (2)
Read the passage in page104 in ENGLISH GRAMMAR and sum up the main idea in
the passive voice. (about 30-50words)
For example:
We were told about the American women’s position in the passage. Before World WarⅡ, women were limited in many aspects in society, such as in politics, jobs. After World War Ⅱ,their roles were changed a little better, but it is still being improved.
3 这本书值得一读．
The book is worth reading.
4 这谣言证实有假。
The rumor proved false.
主动形式表被动含义：
1 need (want require, deserve,etc.) doing = need (want require, deserve,etc.) to be done E.g. 你的作业需要按时完成．
３用某些不及物动词表示被动意义，如carry, cut , drive, iron, keep, lock, open, pick, read, sell, shut, tear, wash, write, etc. 句子的主语 通常指物，起动作承受者的作用， 也可以 说是不及物动词的逻辑宾语，但有时也可以 用人做主语．
The Revision Of Passive Voice
人教高中英语必修2Unit3Using Language 课件
注意: 3）许多不及物动词加介词或副词构成的短语
动词，相当于及物动词，也可以有被动语 态。但短语动词是一个不可分割的整体,变 为被动语态时，不可丢掉构成短语的介词 或副词。
例如:
1.The child has been taken good care of by Grandma Wang all these years.
visitors. 3.Two films have been seen by Mike since
last month.
B组的句子强调动作的承受者, 是被动语态
现在完成时的被动语态 have/ has been done
表示到现在为止已经完成的某个被动的动作
1.The new road near our school has already been completed.
The Winter Olympics will be hosted (by Beijing) in 2022.
2.We will hold a sports meeting on Saturday.
A sports meeting will be held (by us) on Saturday.
Revision:
一般将来时的被动语态
构成形式:
will + be + done
否定句: will not + be + done 一般疑问句: Will + 主语rcise: 1.Beijing will host the Winter Olympics in 2022.
2.A notice has been put up on the wall.
注意: 4) 带有复合宾语的动词变为被动语态时，若宾 语补足语为省略to的不定式充当时，在被动语 态中需将省掉的to加上。
人教高中英语必修2Unit3Using Language 课件 (1)
sing the song to--
watch over the pet
remind the old to take the medicine on time
With the help of the android, our life will be much richer, easier and more colorful.
Time to appreciate the model:P24
1. abilities
2. ways to introduce the android(underline the structure)
topic style
tense person
The android
Exposition: an imaginative writing
Structure of the content
Part I What I can do Part II How I can play better Part III My opinion
Time to speak Create an your android. EX.2 P.23
Devoted helpers
Conclusit that computers have two sides, too. If they are made good use of , our life will be more relaxing, colorful and convenient. But don’t depend too much on the computers or we will hold no future. Let us control the machine and don’t let the machine control us .
Unit 3 Using language 课文讲解课件-高中英语人教版(2019)选择性必修第二册
as with的意思是：如同，和......一样，就...... 而言
Finally, a fundamental key to healthy eating is to eat slowly. It
takes about twenty minutes from the time you start eating for your brain
The doctor insisted that he ( should )be
examined.
He insisted that he was right.
driver 在此意为“推手” drive vt. 推动；驱使 as it is 是一种语言衔接结构，意为“事实上，实际情况是”，多用 来陈述一种原因或状况。
alone.The American Heart Association recommends that we limit ourselves to less than 100－150 calories a day from su宾ga语r,从w句hich is less
than what is usually contained in one can of sweet drink or in a single candy bar . In other words, if you want to be healthy，you have to cut
food mostly for nutrition, then you are on the right track with your diet.
However, if food has become the centre of your life, you might be on