人教版高中英语必修二unit2 section4 unit Revision课件
人教版高中英语必修第2册Unit 4 Section Ⅳ Listening and Talking
Section Ⅳ Listening and Talking & Reading forWriting第一步速读——了解文章主题和段落大意速读P44教材课文，选择最佳答案What is the text mainly about?A．Ireland's beautiful countryside.B．Irish traditions and culture.C．Irish great writers and poets.D．Ireland's folk music and dancing.[答案] B第二步细读——把控文章关键信息细读P44教材课文，选择最佳答案1．What makes the Irish countryside exciting and inspiring? A．Its long history.B．Its great literature.C．Its different senses.D．Its true feast.2．The peaceful landscape of the “Emerald Isle” is ．A．pleasing to the eyesB．exciting to the earsC．pleasing to the mouthsD．exciting to the noses.3．Where can you enjoy Irish strong traditions?A．In the library.B．In a village pub.C．By the sea.D．On the coast.[答案] 1－3 CAB第三步研读——能力升华接轨高考根据P44教材课文，在空白处填入1个适当的单词或括号内单词的正确形式Ireland's beautiful countryside has 1.greatly(great) affected its people and traditions.The country has a long history of 2.producing(produce) great writers and poets.Its beautiful countryside is exciting and inspiring because it offers something for each 3.of the senses.The peaceful landscape of the “Emerald Isle” and its many green 4.counties(county) is a true feast for the eyes，with its 5.rolling(roll) green hills dotted with sheep and cattle.And down by the sea，the roar of the ocean waves and cries of the seabirds make up the music of the coast.6.It is not surprising that Ireland has developed strong traditions that include music，dancing and dining.7.To have(have) a chance of experiencing this，stop by a village pub and relax with 8.a glass of wine or a local beer.9.Better(well) yet，enjoy a delicious traditional Irish Beef Stew.If you are 10.lucky(luck)，you might be able to enjoy some traditional music and dancing.Ⅰ.单词拼写根据汉语或首字母提示，写出下列单词1．Many new couples are eager(渴望) to adopt the children losing their parents in the earthquake.2．They said goodbye to the villagers，with tears rolling (滚动) down their cheeks.3．Sand，sun and fun with beer(啤酒) make Qingdao one of the most popular destinations for visitors to China.4．We stopped at a service station for a quick snack(小吃)．5．He was elected MP for his native county(郡) of Merioneth.6．In North America，people greet one another with a firm handshake.7．The rules have grown up through custom and are not laid down by law.8．As we've seen，oceans cover more than 70% of the earth.9．Farmers drove cattle along major roads as a protest against high taaking wine for a couple of centuries.Ⅱ.拓展词汇根据词性和汉语提示，写出下列单词1．eager adj.热切的；渴望的→eagerly adv.渴望地；热切地→eagerness n．渴望；热心；热切2．roll vi.& vt. (使)翻滚；(使)滚动 n．卷(轴)；翻滚→rolling adj.旋转的；滚动的3．greet vt.问候；迎接→greeting n．问候；致意；欢迎Ⅲ.补全短语根据提示补全下列短语1．have a great influence on 对……有很大的影响2．(be) dotted with 布满；点缀着3．make up 组成，构成；编造；弥补；化妆4．have a chance of doing... 有做某事的机会5．better yet 更喜人的是；更好的6．introduce oneself to 向……自我介绍7．a feast for the eyes 视觉的盛宴Ⅳ.选词填空选用上述短语的适当形式填空1．School life has a great influence on the formation of a child's character.2．Better yet，certain individuals make it fun and，when you lose interest，encourage you.3．Tom often makes up stories to amuse his little brother.4．Against competition like that，they didn't have a chance of winning.5．Don't stand on ceremony.Go around and introduce yourself to everyone.[寻规律、巧记忆]记句式结eager adj.热切的；渴望的(教材P 43)I was eager to see that...我很想看到……experiment.他总是渴望拥有新的经历，而且永远愿意尝试。
人教版高中英语必修二Unit2SectionⅣ
A．is given
B．give
C．has been given D．will be given
解析：选D。句意：关于美国文化的报告将于本周
末在学校礼堂举行。give与talk之间为被动关系。
6．The words ________ if you don’t go over them
for several days.
3．We are told that they will build a new middle school in our town next year. We are told that a new middle school ________________in our town next year. 答案：will be built 4．Don’t let cows walk on the land；otherwise they will destroy the plants. Don’t let cows walk on the land；otherwise the plants ________________. 答案：will be destroyed
在机器人技术上取得更大的进步。由句中的时间
状语“in the near future”可知应用一般将来时；
make advances取得进步，more advances作主语，
故用被动语态。
5．A talk on American culture ________ in the
school hall this weekend.
5．As a general rule，an object will become larger when we heat it. As a general rule，an object will become larger when it ________________. 答案：is heated 6．People will make better use of the Yangtze River when they complete the dam. When the dam ________________，better use will ________________the Yangtze River. 答案：is completed；be made of
必修2 Unit 2 revision
gymnastics stadium host responsibility replace motto swift charge physical fine
•• • • • • • • • • •
体操 体育场 主办；招待；主人 责任；职责 取代；替换 格言 快的；迅速的 收费；控诉 物理的；身体的 罚款
有竞争力的
比赛者；对手
【助记】
competitor I had to________ compete in As the youngest__________,
competition against 20 other top students the writing__________ for the annual writing award. I must be very to be
• • • • • • • • •
poster nowadays advertise glory bargain hopeless stupid pain deserve
• • • • • • • • •
海报；招贴 现今 做广告 光荣；荣誉 讨价还价；便宜货 绝望的 愚蠢的 疼痛；痛苦 应受；值得
• • • • • • • • • •
古代的 奖章 有魔力的 志愿的；志愿者;自愿 祖国 规则的 基础 运动员 容许；承认；接纳 奴隶
• • • • • • • • • •
ancient medal magical volunteer homeland regular basis athlete admit slave
compete in
take part in
• 参加；参与（三个）
新人教版必修二第精品英语课件unit 4 section 4
Unit 4
Section Ⅳ
成才之路 · 高中新课程 · 学习指导 · 人教版 · 英语 · 必修2 (通用本)
wild adj.野生的；野的；未开发的； 5.________ 荒凉的 decrease vi.& vt.减少；(使)变小；或变 6.__________
重点 单词 少 n．减少；降低 loss n．损失；遗失；丧失 识记 7.________ hunt vt.& vi.打猎；猎取；搜寻 理解 8.________ respond vi.回答；响应；做出反应 9.________ relief n．(痛苦或忧虑的)减轻或解 10.________ 除；减轻痛苦的事物 mercy n．仁慈；宽恕；怜悯 11.________
ending n．结局；结尾 20.________
Unit 4
Section Ⅳ
成才之路 · 高中新课程 · 学习指导 · 人教版 · 英语 · 必修2 (通用本)
out 1.die ________ 灭亡；逐渐消失 in 2.________peace 和平地；和睦地；安详地 danger 3.in________of 在危险中；垂危 4.________into laughter突然笑起来；大声笑了出 burst 重点 来 短语 e into________ being 形成；产生 from/against...保护……不受……(危害) 6.protect...___________ attention 注意 7.pay________to according 按照；根据……所说 8.__________to so 9.________that 以致；结果
Unit 4
Section Ⅳ Unit Revision
人教新课标高中英语必修2 Unit 4重点知识点汇总
人教新课标高中英语必修2 Unit 4重点知识点汇总Unit 4 Wildlife Protection重点单词1. decrease v.减少；（使）变小；变少n.减少；降低；减少的数量，其后常接介词in/of【联想拓展】decrease (sth.) to/by ... 减少到/了……increase vi.&vt.增加；增长；增强n.增加；增加的数量increase to/by ...增加到/了……on the decrease/increase 在减少/增加【易混辨析】reduce/decreasereduce 强调在“数量、大小，程度或强度”方面下降或减少。
decrease 侧重强调“稳定地，逐渐地，不断地”减少。
They are making every effort to decrease the production cost. 他们正在尽力降低生产成本。
The membership decreased to 150.会员数减少到了150人。
The number of students in the class has decreased by 20.班级里的人数减少了20人。
There has been a decrease in our imports.我们的进口数量减少了。
2. suggest vt.建议；提出（意见、计划、理论等）；暗示；表明【常用结构】suggest+doing 建议做……suggest sb./sb.’s doing sth. 建议某人做某事（不说suggest sb. to do sth.）suggest sth. to sb. 向某人提议…… （不能说suggest sb. sth.）suggest (to sb.)+that从句(向某人)建议......。
（所接从句用虚拟语气：sb.+should+动词原形，should可以省略）It is suggested that ... 建议是……suggest sth. 暗示；表明……suggest+that从句暗示；表明……（从句用陈述语气）suggest sth. to sb. 使某人想起……I suggest doing it in another way.我建议换一种方式做这件事。
人教版高中英语必修二Unit2
During the listening process, quickly jot down key information such as person names, place names, numbers, etc.
Understanding the main idea
Pay attention to the beginning and end of the recording material, and understand the main idea of the article or dialogue.
cultural communication
01
Unit Overview and Background
Unit theme and content
Topic
The theme of this unit is "Wildlife Conservation", covering knowledge related to wildlife, the importance of conservation, and the relationship between humans and wildlife.
• Practical application: Try to use newly learned vocabulary in real life or learning to deepen understanding and memory. For example, when writing essays or practicing speaking, try to use newly learned vocabulary and phrases as much as possible.
人教课标版高中英语必修二 Unit4 Reviewing 教案-新版
Unit4 Reviewing 教学设计1. Teaching objectives1)Check students whether they have mastered the language points and grammar.2)Help students consolidate what they have learned in this unit.3)Elevate students’ competence in accomplishing higher-level tasks.4)Introduce some learning strategies like dealing with vocabulary.2. Difficult &focal pointsConsolidate their vocabulary and master the proper use of words, expression and structures.3. Teaching procedure.Step I words and expressions &structureThere are 9 chunks for students to choose and they will do the corresponding tasks.For example, in chunk1, students are to tell the words from the hints “far away in peace or time, unfriendly” Then the students will be asked to make up t wo sentences according to the two different meanings.In chunk 2, students will translate the sentences with some words given (当Susan看到猴子打闹，她突然大笑起来....burst out...)In chunk3, there is a short passage with several spelling or grammatical mistakes and students are to find them out and correct them.Step II Reading (P65)1. Teaching goals1) Language targeta. come into being county dust recently bring back belong to used tob. It is hoped that one day there will be enough animals to let them live in the wild again.2）Ability goalsa. Students will be able to listen to the material or read the title to get the main ideab. Students will develop their reading skills, for example find out the key words of the reading.2. Teaching important pointsHow to use the language skills in reading.3. Teaching proceduresStep1 Lead-inDo you know something about dinosaurs and the Milu deer?Dinosaurs mean terrible lizards in Latin. They were called that because people used to think dinosaurs were lizards, but they were not. Dinosaurs first appeared about 200 million years ago.65million years ago, many kinds of dinosaurs became extinct. Birds are a special type of dinosaur and they were the only kind to live until today.How about the Milu deer? Do you know its history?Step 2 While-reading1）Read the passage Animal Extinction.①Choose the best answer.a. According to the passage, what can we know about the dinosaurs?A. Dinosaurs were once the kindest animals on the earth.B. They lived on the earth together with humans.C. They died out for some unknown reasons.D. It was the temperature that caused them to die out.b. The bird-like dinosaurs were discovered in _____A. Xixia County, Nanyang, Henan ProvinceB. Chaoyang County, Liaoning ProvinceC. Xixia County, Nanyang, Liaoning ProvinceD. Chaoyang County, Henan Provincec. How did scientists know that the bird-like dinosaurs could run as well as climb trees?A. By studying their eggs.B. By studying their teethC. By studying their bonesD. By guessing only②Grammar Fillings according to the textMany animals _______(disappear) during the long history of the earth, of ____ the most famous are dinosaurs. They lived on the earth long before humans came into being. There were many different kinds of dinosaur and a number of them used to live in China. The eggs of twenty-five species have been found in Xixia Country, Nanyang, Henan Province, and not long ago a rare new species of bird-like dinosaur __________( discover) in Chaoyang County, Liaoning Province. When _____ (inspect) the bones, the scientists were surprised ______ (find) that they could not only run like the others, ________also climb trees. They learned this from the way the bones ____ (join) together.Dinosaurs died____ suddenly about 65 million years ago. Some scientists think it came after an ________ (expect) incident when a huge rock from space hit the earth and put too much dust into the air. Others think the earth got too hot for the dinosaurs to live on any more. Nobody knows for sure why and how dinosaurs disappeared from the earth in such ____ short time.2）Read the passage The Return of the Milu Deer and fill in the chart.Step III Summing up &checking yourself1. Students are to write what they have learned in checking yourself and summing up.What have you learned?Useful words_________________________________Useful phrases_______________________________Useful sentences____________________________Check yourselfWhat endangered animals do you know?________________________________What can we do to help protect wildlife?________________________________What difficulties did you have in learning this unit?_________________________________________2. The teacher presents what one student has written and the other students can add their parts.3. The teacher shows students the language points and grammar of this unit for them to take down notes.。
人教版高中英语必修二单元二Book2Unit4知识点学习
1) pay attention to 2) according to 3) protect…from 4) burst into laughter 5) come into being
根据释义写出单词
1. _s_e_c_u__r_e___: safe, protected
2. d__e_c_r_e_a__s_e_: to go down to a lower level 3. _c_o__n_t_a__in__: be able to hold sth.
4）His eyes didn't _r_e_s_p__o_n__d__t_o_ the stimulation of light.
他的眼睛对光的刺激没有反应
5）Her cries for help met with no __re__s_p_o__n_s_e_.
她的求救声没有得到回应。 6）He opened the door in r_e__s_p_o__n_s_e_ to a knock.
1. respond
vi. 回答；响应；做出反应 • respond to… 对……做出回应 • respond by doing sth. 做某事来回应
• response n. 回答；答复；反应
• in response to… 为回答……；响应…
Practice
1）I invited her to dinner but she did noret s_p__o_n__d_____.
8. Fresh fruit and vegetables c_o__n_t_a_i_n___ plentiful Vitamin C.
9. China is getting more and more p_o_w__e_r_f_u__l in the world.
人教高中英语必修2课件：Unit 2 Unit Review教师课件
T
【句式训练】 他和他的父母对(treat)我很好。 _____________________________________________________ ________________________
Several ____.
_______re_sapnodnsaibmilaityin
__a_s__w_e_l_l _a_sshould
be
built
__
host
stadiums
gymnasium
as
well
7. 主办城市应该建立一个奥运村让运动员居住。 The ____city should build an Olympic village for the _______ to live in. 8. 许多h人os将t 会担当志愿者，他们将会负责许多事情。 Many people will serve as _________and they will be __ ______ __many things.
breathless
harmless
useless
3. adj. +-ity→ n. similar (adj. )相似的→_________(n. ) 相像性；相似点 【类记】 electric (adj. )电的→_______s_im_(inla.r)i电ty ；电能 equal (adj. )平等的→_______(n. )平等 major (adj. )较大的； 主要的→________(n. )大多数
_____.
Nowadays every four years competitors take part in
Unit4 Revision课件 2022-2023学年高中英语人教版选择性必修第二册
●7．The amazing ending of the story makes Susan v e r y _a_m_a_z_in_g_ _ ( a m a z e ) ．
● 8．Nervously_fa_c_i_n_g___(face) challenges，I know I will whisper to myself the two simple words “Be yourself”．
floor-length curtain落地窗帘
drop the curtain演出结束 18. n.①边;边缘②国界;边界;边境(地区)
v.与...接壤;与...毗邻_______b_o_r_d__e_r_
on the border在边境上 cross the border穿越边界
across/ over the border越过边界
meters of water.
● 7.There she was，slightly out of __b_re_a_t_h__ (呼吸) from running.
● 8.You didn't bother me. On the__c_o_n_t_ra_r_y ( 相反)，I like to be with
II. 单词拼写
●1.The Niagara Falls are a truly __aw_e_s_om_e__ ( 令人惊叹的) sight.
●2.We must make ___m_a_s_si_ve_ (巨大的) efforts to improve the situation.
●3.There are reports of fresh troop movements across the bo_rd_e_r _____ (边界). ●4.The tall guy ___h_ig_h_lig_h_ts(突显) himself among the students
高一英语必修二第四单元课文讲解文本人教版
高一英语必修二第四单元课文讲解文本人教版Unit 4 of the second year of high school English textbook of People's Education Press introduces a series of texts related to the theme of the family. In this unit, students will read and analyze various texts such as poems, short stories, and essays to understand the importance of family relationships and dynamics. Let's take a closer look at the texts included in this unit.1. A Man's Best FriendThis text is a short story that revolves around the relationship between a man and his dog. Through the story, students will learn about the loyalty and companionship that pets can bring to their owners. They will also explore themes of love, loss, and friendship.2. Mother to SonThis text is a poem written by Langston Hughes that conveys a mother's advice to her son. Through vivid imagery and metaphor, the poem emphasizes resilience and perseverance in the face of challenges. Students will analyze the poem's structure, language, and themes to deepen their understanding of the relationship between a mother and her child.3. Two KindsThis text is an excerpt from Amy Tan's novel "The Joy Luck Club" and focuses on the relationship between a mother and daughter. Through the story, students will explore themes of identity, cultural expectations, and the complexities ofparent-child relationships. They will also analyze the characters' motivations and choices to better understand their actions.4. The Story of KeeshThis text is a short story that follows the journey of a young Inuit boy named Keesh. Through Keesh's determination and resourcefulness, students will learn about the power of courage and intelligence in overcoming obstacles. They will also examine the story's themes of leadership, community, and survival in harsh environments.By studying these texts in Unit 4, students will develop their reading comprehension, critical thinking, and literary analysis skills. They will also gain insights into the complexities of family relationships and the importance of love, support, and understanding within the family unit. Through discussions, writing assignments, and activities, students will deepen their appreciation for the diverse range of human experiences depicted in these texts.。
高中英语unit2section4unitRevision课件新人教版必修2
人教版 ·必修2
路漫漫其修远兮 吾将上下而求索
Unit 2 The Olympic Games
Unit 2
Section Ⅳ Unit Revision
1
单元要点回顾
2
单元写作指导
3
课 时 作 业
单元要点回顾
compete competitor competition
volunteer voluntary regular regularly irregular responsibility responsible
• 参考答案： • Of all the sports，I like playing football best. • My father is a footballer and has taken part in all kinds of competitions. It was under his influence that I began to show an interest in it. Besides, I was deeply influenced by the 1998 World Cup in France, whose theme song I still remember.
• 3.去年被一支足球队吸收成为一员，现在担 任队长(captain)、前锋(forward)；每天写完 作业后你跟朋友一起踢球；足球值得你的投 入和热爱； • 4.最喜爱的球员是阿根廷(Argentina)的梅西 (Messi)，最大的愿望是能成为像他那样的巨 星，希望能代表国家在世界杯的舞台上踢球。 • 要求：包括所有要点，可适当发挥。词数： 120个左右。
• (2)根据所给要求，用以上5个句子完成句式 升级。 • ⑥强调句①中的“Under his influence”。 • ___________________________________ _____________ • ⑦把句②改成被动语态。 • ___________________________________ _____________ • ⑧用whose引导的非限制性定语从句连接句 ⑦和句③。 • ___________________________________
高中英语 unit 4 section 4 Unit Revision同步课件 新人教版必修2
单元要点回顾
第五页，共25页。
类别
课程标准要求掌握的项目
重点 单词
1.__d_is_t_a_n_t _adj.远的；远处的→n.距离
_d_i_st_a_n_c_e_ 2.___im_p_o_r_ta_n_c_e__n．重要(性)→adj.重要的 掌握 __i_m_p_o_r_ta_n_t__ 运用 3.__se_c_u_r_e__adj.安全的；可靠的→adv.安全 地；可靠地__s_e_c_u_re_l_y 4.__f_ie_r_ce___adj.凶猛的；猛烈的→adv.凶猛 地；猛烈地__f_ie_rc_e_ly__
④ 我 们 应该 (yīnggāi) 加 大 对 保护 藏 羚 羊重 要 性 的宣 传 。 (publicize)
We __________________________ protecting the Tibetan antelopes.
第十八页，共25页。
(2)根据所给要求，用以上句子完成句式升级(shēng jí)。 ⑤把①句中It is often reported that...改成as引导的非限制性定 语从句。 _________________________________________________ ⑥用过渡词as a result连接②、③句。 _________________________________________________ _________________________________________________ ⑦把句④改成被动语态。 _________________________________________________
18._i_n_ci_d_e_n_t _n．事件；事变
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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)Fra bibliotek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．
(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．
(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
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.
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 ℃.
【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？
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．
(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．
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？
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)
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 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．