人教版高中英语必修二unit2 section2 Learning about Language课件
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.
【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?
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)
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?
(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.
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 ℃.
(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
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.
[思路探索] 属于以二次函数模型为载体,考查利润最大问纸广告费用 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.
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.
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)
(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.
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.
2021_2022学年高中英语Unit2RobotsSectionⅡLearningaboutLan
3.It is required that children under 14 should be _ac_c_o_m__p_a_n_ie_d_ (陪 伴)by an adult.
4.All the audience felt _sy_m__p_a_th_y_ (同情)for the disabled girl who lost her parents in an accident.
Ⅲ.补全短语 根据提示补全下列短语 1.test _o_u_t 2.ring u_p_ 3.turn _a_ro_u_n_d_ 4.leave..._a_lo_n_e_
考验出,检验完 给……打电话 转身;翻转 不管,别惹,让……一个人待 着;和……单独在一起
5._o_r rather 6.a pile o_f_ 7.prevent..._fr_o_m_ doing sth. 8.fall in love _w_i_th_...
背教材原句
记句式结构
仿写促落实
1.It was disturbing and
_I_t _is__n_o_t _c_le_a_r_whether she
frightening that he looked so
it 代替从句作 can be elected president.
human.
机器人看起来如此像人,这 形式主语
have women falling in love 意 为 “ 不 容 mobile phones to school.
with machines. 忍 或 允 许 某 老师不允许我们把手机带
但是,尽管托尼很聪明,他
人做某事” 到学校来。 还得作一番改造——总不能
让女人与机器相爱吧。
【成才之路】高中英语 unit 2 section 2 Learning about Language练习 必修2
【成才之路】2014-2015学年高中英语 unit 2 section 2 Learning about Language练习新人教版必修2 Ⅰ.单项填空1.The film shown next month ________ Asian magic to foreign audiences.A.will bring B.will be broughtC.brings D.have brought答案:A 考查时态。
句意:下个月上映的电影将使外国观众感知亚洲的神奇。
主语The film与bring之间为主动关系,故选A。
2.Greater efforts ________ to improve the living conditions of this area in the following five years.A.will be made B.had madeC.is made D.will have been made答案:A 考查时态和语态。
句意:在随后的五年里将做出更大的努力来改善这个地区的居住条件。
make efforts“做出努力”。
efforts作主语时谓语动词要用被动语态。
结合句意可知此句用将来时态的被动语态最佳,故选B。
3.(2014·合肥高一检测) To help students to be interested in learning English, an English contest ________ next month.A.is held B.has been heldC.will be held D.is being held答案:C 句意:为了让学生们对学英语感兴趣,下个月将举行一场英语竞赛。
an English contest和hold之间存在被动关系,再由句末的时间状语next month可知,此处应用一般将来时的被动语态。
4.A new building is being built here. We wonder if it ________ next month.A.will finish B.is finishedC.has been finished D.will be finished答案:D 句意:这儿正建造一座新楼。
人教版高中英语必修2Unit2 Learning about Language 课件年
6.不能用于被动语态的几种情况
1).有些及物动词或动词短语不能用于被动语态:
last ,have ,own ….
2).不及物动词是没有被动语态:
happen ,take place ….
3).系动词是没有被动语态:
look, feel ,sound ,smell ,taste.The dish tastes good
主谓
宾(受动者)
More and will be discovered bypeople.
more things
1.The astronauts can discover something new about Mars.
can be discovered
2.Kangkang should master some basic computer skills.
情态动词是一种本身有一定的词义, 表示说话人的情绪,态度或语气的动词, 但不能单独作谓语, 必须和其他动词原形连用构成谓语。
我们讲英语.
We speak
主
谓
English. 主动语态
宾(受动者)
English is spoken by us. 被动语态
我们会讲英语.
We can speak English.
5.When _w__il_l _ the sports meeting
____b_e__h_e_ld____(hold)?
6.Look, a new road ___is__b_ei_n_g__b_u_il_t_(build) in that area.
7.The dirty clothes must ___b_e__w_a_s_h_e_d_(wash) at once. 8.The roses _s_m_e_l_l _(smell) sweet. 9.It is well _k_n_o_w__n_(know) that the Great
新人教版高一英语必修二unit2-Learning-about-language
1 She rose to her feet in one swift
movement. B
A. short
B. quick
C. immediate
D. hurry
2. Nowadays all countries can take part in if their athletes reach the standard. A. Today B B. These days C. In the future D. Tomorrow
It didn’t take her long to reach the _s_t_a_n_d_a_r_d_ for entering the Olympic Games. This made Helena eager to win a gold medal for herself and her _h_o_m__el_a_n_d__. Unfortunately during the final, she was in front in her race when
9 _g_y_m__n_a_si_u_m__ special hall for physical exercise
10 _t_a_k_e__p_a_r_t _in___ to join in
2 Choose the word or phrase that means almost the same as the word in italics.
3. My son went to see the new stadiums
before the Olympic Games began.
A. concert halls
B
B. sports halls
高中英语人教版(2019)选择性必修第二册Unit 2 语法名词性从句
●I will just say whatever comes into my mind. ●我想到什么就说什么。 ●Whoever breaks the rules will be punished. ●无论谁违反这些规则都将受到处罚
●⑤The problem is__w_h_o_/w_h_o_m_ we can get to solve this question.
●⑥A straw shows__w_h_ic_h __ way the wind blows. ●⑦Have you decided ___w_h_om__ you are to elect as your
reading. ● ④Let me know___w_h_e_th_e_r__ or not you can come. ● ⑤I don't know _w_h_e_th_e_r_/i_f he still lives there after so many years. ● ⑥We are interested in__w_h_e_th_e_r_ you will attend the meeting. ● ⑦Give me your promise _t_h_at__ you will come to our party this evening. ● ⑧He has made it clear__th_a_t_ he will not give in.
worked. ● ⑤They insisted that everyone (should)come to the party. ● ⑥The proposal that we (should)import more equipment from abroad is to be
人教版高中英语选择性必修第二册精品课件 Unit 2 Section Ⅱ
【合作探究】
读一读·细观察
阅读下列句子,写出句中黑体词的词性和含义
①How do you motivate people to work hard and efficiently?
词性 动词
含义 激发;激励
②We usually have more pleasure and motivation to work on
答案:We learnt from his letter that he was in Spain.(宾语从
句)
5.The truth is that it is too foggy for the bus to run that far.
( )
答案:The truth is that it is too foggy for the bus to run that
motivate
/̍məʊtIveIt/vt.成为……的动机;激发;激励
expectation
/̩ekspek̍teIʃn/n.期望;预期;期待
culture shock
文化冲击
departure
/dI̍pɑːtʃə(r)/n.离开;启程;出发
exposure
/Ik̍spəʊʒə(r)/n.接触;体验;暴露;揭露→
3. overwhelming /̩əʊvə̍welmI /adj.无法抗拒的;巨大的;
压倒性的
homesickness
4.
/̍həʊmsIknəs/nຫໍສະໝຸດ 思乡病;乡愁5.→
→
6.
7.
8.
9.
境)
motivated /̍məʊtIveItId/adj.积极的;主动的
motivation /̩məʊtI̍veIʃn/n.动力;积极性;动机
2020年秋人教版英语必修二课后习题:Unit2TheOlympicGames2.2(含答案)
SectionⅡLearningaboutLanguage,UsingLanguage,SummingUp&LearningTip课后篇巩固探究一、用方框内所给单词或短语的适当形式填空1.The famous athlete didn’t the World Cup because of illness.答案:take part in2.To the mother’s joy,the childen stopped crying .答案:one after another3.The secretary always acts as if she were the company,which makes her colleagues very tired.答案:in charge of4.There is something wrong with the old machine,so it must be at once.答案:replaced5.He grows flowers vegetables.答案:as well as6.Our young Mr.Smith,who was finding it difficult to earn his daily bread,remembered that once upon a time he had learned the art of making tacks and had the sudden idea of the shoemakers.答案:bargaining with7.The hotel 50 yuan a room for one night.答案:charged;for8.In 1991,the house sale at $49,000.答案:was advertised for9.The man is not here just at the moment.答案:in charge10.The people in the flooded area fought bravely against the natural disaster.Their bravery to be praised.答案:deserved二、用所给单词的适当形式填空导学号728640191.It is the children’s (responsible) to support their old parents.答案:responsibility2.Beethoven’s NinthSymphony is a (glory) piece of music.答案:glorious3.A lot of houses were knocked down during the earthquake,which made a lot of people(hope).答案:hopelessrge amounts of money are spent on (advertisement) every year.答案:advertisements5.The President’s speeches are (regular) reproduced in the state-run newspapers.答案:regularly6.The player from America has rich experience in playing,so he is a strong (compete) for you.答案:competitor7.Children are fond of Harry Potter,a boy full of (magic) power.答案:magical8.They won the first place in the match.I think they deserve (congratulate).答案:to be congratulated/congratulating9.No oral test will be required for (admit) to that university.答案:admission10.It has helped me become stronger,both mentally and (physical).答案:physically11.Facts (replace) by political beliefs now.答案:are being replaced12.The girl has been doing well in her work,and she (deserve) to be promoted.答案:deserves13.You wouldn’t (fine) yesterday had you not broken the traffic rule.答案:have been fined14.We were (charge) for the items that we didn’t order.答案:charged15.It took a lot of courage (admit) that you were wrong.答案:to admit三、用适当的介词或副词填空1.The moment the bell rang,the students went out of the classroom one another.答案:after2.The middle-aged woman bargained the shopkeeper who was selling the plates and managed to get them for half the usual price.答案:with3.Apart these two books,he has written some plays and film scripts.答案:from4.If there is something wrong with the machine,it should be reported at once to the engineer—charge.答案:in5.Today,workers in factories are being replaced robots and software,which more broadly,are automating many jobs that people used to do.答案:by6.The reporter was interviewing a girl,who was a volunteer the Olympic Games.答案:for7.It never distinguishes between humans based age or race.答案:on8.Women are playing an important role building our country.答案:in9.You’re an adult now and you need to take responsibility your action.答案:for四、语篇填空(语言能力)The Olympic Games is the 1. (big) sports meeting in the world,2. includes two kinds,the Summer and the Winter Olympics.Both of them 3. (hold) every four years.All countries can take part 4. their athletes have reached the agreed standard for thegames.Women are not only allowed to join in but play a very important role.A special village is built for the 5.(competitor) to live in,a main reception building,several stadiums for competitions,a gymnasium as 6.(good) as seats for those who watch the games.It’s a great honor 7.(host) the Olympic Games.The olive wreath 8. (replace) by medals.But it’s still about 9. (be) able to run faster,jump higher and throw 10. (far).答案:1.biggest 2.which 3.are held 4.ifpetitors6.well7.to host8.has been replaced9.being10.further五、完形填空(思维品质语言能力)AnunusualmatchDarius and Johntel both love basketball and are captains of their high school basketball teams.But on one Saturday night,they were forever linked in the 1 of all who were present at a game between Darius’s small town team and Johntel’s big city team.Just 2 before the game,Johntel’s mother died of cancer.Her sudden 3 made Johntel very sad.So Johntel’s coach wanted to 4 the game.But Johntel 5 that the game should be played.So with 6 hearts,his teammates prepared to play—and hopefully win—without him.7,Johntel appeared in the gym midway through the first half.Seeing him,Johntel’s coach called a time out,and players and fans 8 the sad young man to offer love and 9.Johntel wanted to 10 but putting him in the game at that point would 11 a technical foul(犯规) and two free throws for the opposing team.The opposing team understood the 12 and told the referees to let Johntel play and to 13 the technical foul.The referees 14 that a rule is a rule,and the free throws would have to be taken before the game could 15.As the team captain,Darius 16 to take the shots.The free throw line is 15 feet from the basket.However,Darius’s first shot traveled about 4 feet.His second shot 17 traveled 2.Immediately,Johntel and his teammates 18 what Darius was doing.They stood and applauded the 19 of sportsmanship as Darius walked back to his bench.Johntel’s team won the game in the end.But as the two 20 met after the game for pizza and sodas,nobody on either side was too concerned with wins or losses.1.A.eyes B.headsC.earsD.mind答案:D解析:达利斯和约翰特尔是各自所在高中的篮球队队长。
2020_2021学年高中英语Unit2PoemsSectionⅡLearningaboutLanguage教师用书教案新人教版选修6
Unit 2Ⅰ.单词拼写根据汉语或首字母提示,写出下列单词1.We should make a concrete(具体的) analysis of each specific question.2.You have to adopt a flexible(灵活的) method to learn English.3.After I was employed by the company,I was sent to work in one of its branches(分部) in the south.4.The boy shouted loudly and the sparrows(麻雀) in the tree flew in all directions.5.They teased(取笑) her mercilessly with remarks about her weight.6.We didn't know how they conveyed these stones over 380 miles without modern machines.7.He transformed the old kitchen into a beautiful sitting room.8.True friends should share happiness as well as sorrow.9.You'd better add some more water to the soup,for it is too salty.10.If you try to cover it up,they may be fooled at first,but eventually they catch on.Ⅱ.拓展词汇根据词性和汉语提示,写出下列单词1.salt n.盐→salty adj.含盐的;咸的2.end n.& v.结束→endless adj.无穷的;无止境的3.eventual adj.最后的→eventually adv.最后;终于4.sorrow n.悲伤;悲痛;懊悔→sorry adj.悲伤的;难过的5.translate v.翻译→translator n.翻译家;译员→translation n.翻译;译文[寻规律、巧记忆]n.+y →adj.n.+less →adj.lucky adj.幸运的noisy adj.嘈杂的;喧闹的healthy adj.健康的useless adj.无用的helpless adj.无助的hopeless adj.希望渺茫的;绝望的根据提示补全下列短语1.stay up 熬夜2.make sense 讲得通;有意义3.in particular 尤其;特别4.transform...into...把……变成……5.run out of 用完;耗尽6.take it easy 轻松;不紧张;从容7.take sth. seriously 认真对待某事8.be made up of 由……构成Ⅳ.选词填空选用上述短语的适当形式填空1.This book is made up of twelve separate short stories.2.Why did she do a thing like that? It doesn't seem to make sense.3.Among all English poems,I enjoy those written by Shakespeare in particular.4.You've been working hard all afternoon,Steve. Sit down and take it easy for a few minutes.5.Though they are running out of food and drink,the men are cheerful and confident that they will get out soon.[寻规律、巧记忆]in +n.→介词短语v.+out →动词短语in action 在活动中;在进行中in addition 加之;又;另外in advance 在前头;事先;预先break out 爆发ome out 出版;出来figure out 算出;理解背教材原句记句式结构仿写促落实1.There are various reasons whypeople write poetry.人们写诗有着各种各样的原因。
人教版高中英语必修二Module2Unit2TheOlympicGamesSectionIILearningaboutthelanguage导学案习题
Section II Learning about the language一、课前预习I. 重点短语1.主管;看管___________________________2.由…主管/负责___________________________3.免费的_________________________________4.控告/指责某人某事_______________________5.向某人要价…___________________________6.体育锻炼___________________________7.为…负责__________________________8.因…罚某人___________________________9.登广告招聘某人_________________________10.张贴海报__________________________II. 完成句子:用上面的短语完成下列句子。
1.In order to promote them, we plan to ____________in the local newspaper.为了促销,我们决定在当地报纸上为我们的产品打广告。
2.You should ______________ a secretary to deal with so many emails every day.你应该登广告找个秘书来处理每天这么多的邮件。
3.He _______________$ 8 ________ repairing this bike, which is too much.修这辆自行车他收了我8美元,太贵了!4.John ________________ stealing a car.约翰被控盗窃了一辆汽车。
5. -- Can I speak to someone _________? —Hold on, please.--我想找你们的负责人听电话。
高中英语选修二(人教版)1-2Learning About Language 教学课件
❶The sweet voice is the characteristic of our English teacher. 甜美的嗓音是我们英语老师的特征。 ❷It is characteristic of people who have only a little knowledge to try to pretend that they have much knowledge.略知皮毛的人的一个特点 是,他们总是努力装出大有学问的样子。 ❸Elizabeth is the most interesting character in the play. 伊丽莎白是该剧中最有趣的人物。
6.a_b_s_o_l_u_te_l_y adv. 绝对地;完全地→_a_b_s_o_lu_t_e_ adj. 完全的,全部的;
绝对的
7._p_e_r_su_a_d_e_ vt. 说服,劝说;使相信→p__er_s_u_a_s_io_nn. 说服,劝说
Ⅲ.重点句型 他正要给他的朋友们端上晚餐,突然意识到忘了打开烤箱,肉还 没烹饪好。 He __w_a_s_r_e_a_d_y_t_o_ serve dinner to his friends ___w__h_en__ he realised that he had forgotten to turn on the oven and the meat was not cooked yet.
was on the wrong road. ②Mrs. Woo said that her husband had just left for work when she
___f_e_lt___ (feel) that her house was shaking. ③Jack was working in the lab __w_h_e_n___ the power cut occurred. ④我正要出门时一个远亲突然来看我了。 I__w_a_s_a_b_o_u_t_to__g_o_o_u_t_w__h_en________ a distant relative came to visit me. 或 I was ready to go out when 或 I was to go out when 或 I was on the point of going out when
