
二、典例解析例10. 如圖,正方形ABCD 的邊長為5cm ,取正方形ABCD 各邊的中點(diǎn)E,F,G,H, 作第2個(gè)正方形 EFGH,然后再取正方形EFGH各邊的中點(diǎn)I,J,K,L,作第3個(gè)正方形IJKL ,依此方法一直繼續(xù)下去. (1) 求從正方形ABCD 開始,連續(xù)10個(gè)正方形的面積之和;(2) 如果這個(gè)作圖過程可以一直繼續(xù)下去,那么所有這些正方形的面積之和將趨近于多少?分析:可以利用數(shù)列表示各正方形的面積,根據(jù)條件可知,這是一個(gè)等比數(shù)列。解:設(shè)正方形的面積為a_1,后續(xù)各正方形的面積依次為a_2, a_(3, ) 〖…,a〗_n,…,則a_1=25,由于第k+1個(gè)正方形的頂點(diǎn)分別是第k個(gè)正方形各邊的中點(diǎn),所以a_(k+1)=〖1/2 a〗_k,因此{(lán)a_n},是以25為首項(xiàng),1/2為公比的等比數(shù)列.設(shè){a_n}的前項(xiàng)和為S_n(1)S_10=(25×[1-(1/2)^10 ] )/("1 " -1/2)=50×[1-(1/2)^10 ]=25575/512所以,前10個(gè)正方形的面積之和為25575/512cm^2.(2)當(dāng)無限增大時(shí),無限趨近于所有正方形的面積和

情景導(dǎo)學(xué)古語云:“勤學(xué)如春起之苗,不見其增,日有所長”如果對“春起之苗”每日用精密儀器度量,則每日的高度值按日期排在一起,可組成一個(gè)數(shù)列. 那么什么叫數(shù)列呢?二、問題探究1. 王芳從一歲到17歲,每年生日那天測量身高,將這些身高數(shù)據(jù)(單位:厘米)依次排成一列數(shù):75,87,96,103,110,116,120,128,138,145,153,158,160,162,163,165,168 ①記王芳第i歲的身高為 h_i ,那么h_1=75 , h_2=87, 〖"…" ,h〗_17=168.我們發(fā)現(xiàn)h_i中的i反映了身高按歲數(shù)從1到17的順序排列時(shí)的確定位置,即h_1=75 是排在第1位的數(shù),h_2=87是排在第2位的數(shù)〖"…" ,h〗_17 =168是排在第17位的數(shù),它們之間不能交換位置,所以①具有確定順序的一列數(shù)。2. 在兩河流域發(fā)掘的一塊泥板(編號K90,約生產(chǎn)于公元前7世紀(jì))上,有一列依次表示一個(gè)月中從第1天到第15天,每天月亮可見部分的數(shù):5,10,20,40,80,96,112,128,144,160,176,192,208,224,240. ②

高斯(Gauss,1777-1855),德國數(shù)學(xué)家,近代數(shù)學(xué)的奠基者之一. 他在天文學(xué)、大地測量學(xué)、磁學(xué)、光學(xué)等領(lǐng)域都做出過杰出貢獻(xiàn). 問題1:為什么1+100=2+99=…=50+51呢?這是巧合嗎?試從數(shù)列角度給出解釋.高斯的算法:(1+100)+(2+99)+…+(50+51)= 101×50=5050高斯的算法實(shí)際上解決了求等差數(shù)列:1,2,3,…,n,"… " 前100項(xiàng)的和問題.等差數(shù)列中,下標(biāo)和相等的兩項(xiàng)和相等.設(shè) an=n,則 a1=1,a2=2,a3=3,…如果數(shù)列{an} 是等差數(shù)列,p,q,s,t∈N*,且 p+q=s+t,則 ap+aq=as+at 可得:a_1+a_100=a_2+a_99=?=a_50+a_51問題2: 你能用上述方法計(jì)算1+2+3+… +101嗎?問題3: 你能計(jì)算1+2+3+… +n嗎?需要對項(xiàng)數(shù)的奇偶進(jìn)行分類討論.當(dāng)n為偶數(shù)時(shí), S_n=(1+n)+[(2+(n-1)]+?+[(n/2+(n/2-1)]=(1+n)+(1+n)…+(1+n)=n/2 (1+n) =(n(1+n))/2當(dāng)n為奇數(shù)數(shù)時(shí), n-1為偶數(shù)

新知探究前面我們研究了兩類變化率問題:一類是物理學(xué)中的問題,涉及平均速度和瞬時(shí)速度;另一類是幾何學(xué)中的問題,涉及割線斜率和切線斜率。這兩類問題來自不同的學(xué)科領(lǐng)域,但在解決問題時(shí),都采用了由“平均變化率”逼近“瞬時(shí)變化率”的思想方法;問題的答案也是一樣的表示形式。下面我們用上述思想方法研究更一般的問題。探究1: 對于函數(shù)y=f(x) ,設(shè)自變量x從x_0變化到x_0+ ?x ,相應(yīng)地,函數(shù)值y就從f(x_0)變化到f(〖x+x〗_0) 。這時(shí), x的變化量為?x,y的變化量為?y=f(x_0+?x)-f(x_0)我們把比值?y/?x,即?y/?x=(f(x_0+?x)-f(x_0)" " )/?x叫做函數(shù)從x_0到x_0+?x的平均變化率。1.導(dǎo)數(shù)的概念如果當(dāng)Δx→0時(shí),平均變化率ΔyΔx無限趨近于一個(gè)確定的值,即ΔyΔx有極限,則稱y=f (x)在x=x0處____,并把這個(gè)________叫做y=f (x)在x=x0處的導(dǎo)數(shù)(也稱為__________),記作f ′(x0)或________,即

二、典例解析例4. 用 10 000元購買某個(gè)理財(cái)產(chǎn)品一年.(1)若以月利率0.400%的復(fù)利計(jì)息,12個(gè)月能獲得多少利息(精確到1元)?(2)若以季度復(fù)利計(jì)息,存4個(gè)季度,則當(dāng)每季度利率為多少時(shí),按季結(jié)算的利息不少于按月結(jié)算的利息(精確到10^(-5))?分析:復(fù)利是指把前一期的利息與本金之和算作本金,再計(jì)算下一期的利息.所以若原始本金為a元,每期的利率為r ,則從第一期開始,各期的本利和a , a(1+r),a(1+r)^2…構(gòu)成等比數(shù)列.解:(1)設(shè)這筆錢存 n 個(gè)月以后的本利和組成一個(gè)數(shù)列{a_n },則{a_n }是等比數(shù)列,首項(xiàng)a_1=10^4 (1+0.400%),公比 q=1+0.400%,所以a_12=a_1 q^11 〖=10〗^4 (1+0.400%)^12≈10 490.7.所以,12個(gè)月后的利息為10 490.7-10^4≈491(元).解:(2)設(shè)季度利率為 r ,這筆錢存 n 個(gè)季度以后的本利和組成一個(gè)數(shù)列{b_n },則{b_n }也是一個(gè)等比數(shù)列,首項(xiàng) b_1=10^4 (1+r),公比為1+r,于是 b_4=10^4 (1+r)^4.

我們知道數(shù)列是一種特殊的函數(shù),在函數(shù)的研究中,我們在理解了函數(shù)的一般概念,了解了函數(shù)變化規(guī)律的研究內(nèi)容(如單調(diào)性,奇偶性等)后,通過研究基本初等函數(shù)不僅加深了對函數(shù)的理解,而且掌握了冪函數(shù),指數(shù)函數(shù),對數(shù)函數(shù),三角函數(shù)等非常有用的函數(shù)模型。類似地,在了解了數(shù)列的一般概念后,我們要研究一些具有特殊變化規(guī)律的數(shù)列,建立它們的通項(xiàng)公式和前n項(xiàng)和公式,并應(yīng)用它們解決實(shí)際問題和數(shù)學(xué)問題,從中感受數(shù)學(xué)模型的現(xiàn)實(shí)意義與應(yīng)用,下面,我們從一類取值規(guī)律比較簡單的數(shù)列入手。新知探究1.北京天壇圜丘壇,的地面有十板布置,最中間是圓形的天心石,圍繞天心石的是9圈扇環(huán)形的石板,從內(nèi)到外各圈的示板數(shù)依次為9,18,27,36,45,54,63,72,81 ①2.S,M,L,XL,XXL,XXXL型號的女裝上對應(yīng)的尺碼分別是38,40,42,44,46,48 ②3.測量某地垂直地面方向上海拔500米以下的大氣溫度,得到從距離地面20米起每升高100米處的大氣溫度(單位℃)依次為25,24,23,22,21 ③

課前小測1.思考辨析(1)若Sn為等差數(shù)列{an}的前n項(xiàng)和,則數(shù)列Snn也是等差數(shù)列.( )(2)若a1>0,d<0,則等差數(shù)列中所有正項(xiàng)之和最大.( )(3)在等差數(shù)列中,Sn是其前n項(xiàng)和,則有S2n-1=(2n-1)an.( )[答案] (1)√ (2)√ (3)√2.在項(xiàng)數(shù)為2n+1的等差數(shù)列中,所有奇數(shù)項(xiàng)的和為165,所有偶數(shù)項(xiàng)的和為150,則n等于( )A.9 B.10 C.11 D.12B [∵S奇S偶=n+1n,∴165150=n+1n.∴n=10.故選B項(xiàng).]3.等差數(shù)列{an}中,S2=4,S4=9,則S6=________.15 [由S2,S4-S2,S6-S4成等差數(shù)列得2(S4-S2)=S2+(S6-S4)解得S6=15.]4.已知數(shù)列{an}的通項(xiàng)公式是an=2n-48,則Sn取得最小值時(shí),n為________.23或24 [由an≤0即2n-48≤0得n≤24.∴所有負(fù)項(xiàng)的和最小,即n=23或24.]二、典例解析例8.某校新建一個(gè)報(bào)告廳,要求容納800個(gè)座位,報(bào)告廳共有20排座位,從第2排起后一排都比前一排多兩個(gè)座位. 問第1排應(yīng)安排多少個(gè)座位?分析:將第1排到第20排的座位數(shù)依次排成一列,構(gòu)成數(shù)列{an} ,設(shè)數(shù)列{an} 的前n項(xiàng)和為S_n。

1.判斷正誤(正確的打“√”,錯(cuò)誤的打“×”)(1)函數(shù)f (x)在區(qū)間(a,b)上都有f ′(x)<0,則函數(shù)f (x)在這個(gè)區(qū)間上單調(diào)遞減. ( )(2)函數(shù)在某一點(diǎn)的導(dǎo)數(shù)越大,函數(shù)在該點(diǎn)處的切線越“陡峭”. ( )(3)函數(shù)在某個(gè)區(qū)間上變化越快,函數(shù)在這個(gè)區(qū)間上導(dǎo)數(shù)的絕對值越大.( )(4)判斷函數(shù)單調(diào)性時(shí),在區(qū)間內(nèi)的個(gè)別點(diǎn)f ′(x)=0,不影響函數(shù)在此區(qū)間的單調(diào)性.( )[解析] (1)√ 函數(shù)f (x)在區(qū)間(a,b)上都有f ′(x)<0,所以函數(shù)f (x)在這個(gè)區(qū)間上單調(diào)遞減,故正確.(2)× 切線的“陡峭”程度與|f ′(x)|的大小有關(guān),故錯(cuò)誤.(3)√ 函數(shù)在某個(gè)區(qū)間上變化的快慢,和函數(shù)導(dǎo)數(shù)的絕對值大小一致.(4)√ 若f ′(x)≥0(≤0),則函數(shù)f (x)在區(qū)間內(nèi)單調(diào)遞增(減),故f ′(x)=0不影響函數(shù)單調(diào)性.[答案] (1)√ (2)× (3)√ (4)√例1. 利用導(dǎo)數(shù)判斷下列函數(shù)的單調(diào)性:(1)f(x)=x^3+3x; (2) f(x)=sinx-x,x∈(0,π); (3)f(x)=(x-1)/x解: (1) 因?yàn)閒(x)=x^3+3x, 所以f^' (x)=〖3x〗^2+3=3(x^2+1)>0所以f(x)=x^3+3x ,函數(shù)在R上單調(diào)遞增,如圖(1)所示

The activity theme of this section is to design various activities around the key words in the first text. Therefore, the activities require students to pay attention to the spelling of words. On the other hand, let students grasp the meaning of words more accurately through sentences and short texts. This kind of teaching design also helps to improve the ability of using English thinking.1. Cultivating students' ability to use word formation to induce and memorize vocabulary, and the ability to use lexical chunks to express meaning.2. Guide the students to think independently and use the correct form of words to complete sentences3. Cultivate students' habit of using lexical chunks to express language completely, guide students to draw words in sentences quickly, pay attention to word collocation, so as to accumulate more authentic expressions4. Instruct students to create sentences with the chunks.1. Enable students to use the language points in the real situation or specific contexts flexibly and appropriately.2. Guiding the Ss to use unit topic words and the sentence patterns in a richer context.Step1: Think of a word that best fits each definition.1. to remember sth2.to accept, admit, or recognize sth or the truth/existence of sth3. the process of changing sth or yourself to suit a new situation4 .to make sb feel less worried or unhappy5. a strong desire to achieve sth

Her tutor told her to acknowledge __________ other people had said if she cited their ideas, and advised her _______(read) lots of information in order to form __________wise opinion of her own.Now halfway __________ her exchange year, Xie Lei felt much more at home in the UK. She said __________ (engage) in British culture had helped and that she had been__________ (involve) in social activities. She also said while learning about business, she was acting as a cultural messenger __________(build) a bridge between the two countries. keys:Xie Lei, a 19yearold Chinese student, said goodbye to her family and friends in China and boarded (board) a plane for London six months ago in order to get a business qualification. She was ambitious(ambition) to set up a business after graduation. It was the first time that she had left (leave) home.At first, Xie Lei had to adapt to life in a different country. She chose to live with a host family, who can help with her adaptation (adapt) to the new culture. When she missed home, she felt comforted (comfort) to have a second family. Also Xie Lei had to satisfy academic requirements. Her tutor told her to acknowledge what other people had said if she cited their ideas, and advised her to read lots of information in order to form a wise opinion of her own.Now halfway through her exchange year, Xie Lei felt much more at home in the UK. She said engaging (engage) in British culture had helped and that she had been involved (involve) in social activities. She also said while learning about business, she was acting as a cultural messenger building a bridge between the two countries.

The purpose of this section of vocabulary exercises is to consolidate the key words in the first part of the reading text, let the students write the words according to the English definition, and focus on the detection of the meaning and spelling of the new words. The teaching design includes use English definition to explain words, which is conducive to improving students' interest in vocabulary learning, cultivating their sense of English language and thinking in English, and making students willing to use this method to better grasp the meaning of words, expand their vocabulary, and improve their ability of vocabulary application. Besides, the design offers more context including sentences and short passage for students to practice words flexibly.1. Guide students to understand and consolidate the meaning and usage of the vocabulary in the context, 2. Guide the students to use the unit topic vocabulary in a richer context3. Let the students sort out and accumulate the accumulated vocabulary, establishes the semantic connection between the vocabulary,4. Enable students to understand and master the vocabulary more effectivelyGuiding the Ss to use unit topic words and the sentence patterns in a richer context.Step1: Read the passage about chemical burns and fill in the blanks with the correct forms of the words in the box.

The theme of this activity is to learn the first aid knowledge of burns. Burns is common in life, but there are some misunderstandings in manual treatment. This activity provides students with correct first aid methods, so as not to take them for granted in an emergency. This section guides students to analyze the causes of scald and help students avoid such things. From the perspective of text structure and collaborative features, the text is expository. Expository, with explanation as the main way of expression, transmits knowledge and information to readers by analyzing concepts and elaborating examples. This text arranges the information in logical order, clearly presents three parts of the content through the subtitle, accurately describes the causes, types, characteristics and first aid measures of burns, and some paragraphs use topic sentences to summarize the main idea, and the level is very clear.1. Guide students to understand the causes, types, characteristics and first aid methods of burns, through reading2. Enhance students’ ability to deal withburnss and their awareness of burns prevention3. Enable students to improve the ability to judge the types of texts accurately and to master the characteristics and writing techniques of expository texts.Guide students to understand the causes, types, characteristics and first aid methods of burns, through readingStep1: Lead in by discussing the related topic:1. What first-aid techniques do you know of ?CPR; mouth to mouth artificial respiration; the Heimlich Manoeuvre

? B: Absolutely! Getting involved with Chinese cultural activities there definitely helped a lot. I got to practice my Chinese on a daily basis, and I could learn how native Chinese speakers spoke.? A: What do you feel is your biggest achievement?? B: Learning Chinese characters! I have learnt about 1,500 so far. When I first started, I didn't think it was even going to be possible to learn so many, but now I find that I can read signs, menus, and even some easy newspaper articles.? A: What are you most keen on?? B: I've really become keen on learning more about the Chinese culture, in particular Chinese calligraphy. As I have learnt Chinese characters, I have developed a great appreciation for their meaning. I want to explore Chinese characters by learning how to write them in a more beautiful way. ? A: Finally, what do you want to say to anyone interested in learning Chinese?? I have really become keen on learning more about the Chinese culture, in particular Chinese Calligraphy. As I have learnt Chinese character, I have developed a great appreciation for their meaning. I want to explore Chinese characters by learning how to write them in a more beautiful way.? A: Finally, what do you want to say to anyone interested in learning Chinese?? B: I'd say, give it a shot! While some aspects may be difficult, it is quite rewarding and you will be happy that you tried.? A: Thanks for your time. ? B:You're welcome.

The theme of this section is to learn how to make emergency calls. Students should learn how to make emergency calls not only in China, but also in foreign countries in English, so that they can be prepared for future situations outside the home.The emergency telephone number is a vital hotline, which should be the most clear, rapid and effective communication with the acute operator.This section helps students to understand the emergency calls in some countries and the precautions for making emergency calls. Through the study of this section, students can accumulate common expressions and sentence patterns in this context. 1.Help students accumulate emergency telephone numbers in different countries and learn more about first aid2.Guide the students to understand the contents and instructions of the telephone, grasp the characteristics of the emergency telephone and the requirements of the emergency telephone.3.Guide students to understand the first aid instructions of the operators.4.Enable Ss to make simulated emergency calls with their partners in the language they have learned1. Instruct students to grasp the key information and important details of the dialogue.2. Instruct students to conduct a similar talk on the relevant topic.Step1:Look and discuss:Match the pictures below to the medical emergencies, and then discuss the questions in groups.

【點(diǎn)津】 1.不定式的復(fù)合結(jié)構(gòu)作目的狀語 ,當(dāng)不定式或不定式短語有自己的執(zhí)行者時(shí),要用不定式的復(fù)合結(jié)構(gòu)?即在不定式或不定式短語之前加 for +名詞或賓格代詞?作狀語。He opened the door for the children to come in. 他開門讓孩子們進(jìn)來。目的狀語從句與不定式的轉(zhuǎn)換 英語中的目的狀語從句,還可以變?yōu)椴欢ㄊ交虿欢ㄊ蕉陶Z作狀語,從而使句子在結(jié)構(gòu)上得以簡化??煞譃閮煞N情況: 1?當(dāng)目的狀語從句中的主語與主句中的主語相同時(shí),可以直接簡化為不定式或不定式短語作狀語。We'll start early in order that/so that we may arrive in time. →We'll start early in order to/so as to arrive in time. 2?當(dāng)目的狀語從句中的主語與主句中的主語不相同時(shí),要用動(dòng)詞不定式的復(fù)合結(jié)構(gòu)作狀語。I came early in order that you might read my report before the meeting. →I came early in order for you to read my report before the meeting.

Is there a clear purpose for the trip? :Does each paragraph have a clear main idea? Does the writer use the present continuous tense for future plans?Does the writer use commas, stops, and question marks correctly? Are all the words spelt correctly?Are all the proper nouns capitalized?Revise your draft according to your partner's comments.Step 5:The summary of how to write a travel plan.旅游計(jì)劃是一種常見的應(yīng)用文寫作。旅游可分為觀光游、文化游、美食游及探險(xiǎn)游等不同類型,因此旅游計(jì)劃也要根據(jù)不同的旅游目的進(jìn)行設(shè)計(jì)。常規(guī)的旅游計(jì)劃需要明確以下幾個(gè)方面的問題:Travel planWhen will you leave for? Where is your the destination?How will you get there?What will you do there?How long will you there?Is there a clear purpose for the trip? 為了提升旅行計(jì)劃的層級,還需注意以下幾個(gè)方面的問題:1.每段是否有明確清晰的主題;2.用一般現(xiàn)在時(shí)代替一般將來時(shí);3.用更高級的形容詞詞匯。例如:表達(dá)“好”時(shí),不要總用“nice”,我們還可以用“smart, clean, excellent, exciting, beautiful, wonderful, clever, famous, grand”等表達(dá)更具有指向性的詞匯;4.用更高級的動(dòng)詞詞匯。比如:我們可以用“seem stand, lie .get stay, remain, look . sound, become . keep, grow”等代替"be";

This report is short, concise and has typical news content and language features. The title uses the verb phrases, embodying the characteristics of being concise and general. The introduction is the first two sentences in the first paragraph, describing the general situation of the cultural heritage protection project, including time, place, characters, events and other news elements, so that readers can see the main points of the news report at a glance. The main body is the second and third paragraphs, which report the important historical and cultural value of Mogao Grottoes and the production of Mogao Grottoes Material digital photos, which are of great significance to the inheritance of historical culture and the promotion of international cultural understanding, exchange and cooperation. Direct citation is used in the report, as well as background introduction and other news writing techniques.1. Get students to have a good understanding of some features about a news report by reading the text.2. Instruct students to write a summary about a news report properly using some newly acquired writing skills in this period.3. Develop students’ writing and cooperating abilities.4. Strengthen students’ great interest in writing discourses.1. Stimulate students to have a good understanding of how to a summary about a news report 2. Cultivate students to write a news report properly and concisely.Step 1: Lead in Do you think it is necessary for us to circulate our cultural heritage to the world? Why or why not?Do we need to learn more about other countries’ cultural heritage? Why or why not?Step 2: Read to discover details concerning the main body of the news report.

(4)Now we have heard a number of outstanding speeches ... 我們已經(jīng)聆聽了許多精彩的發(fā)言……(5)Because we wanted the nations of the world, working together, to deal with ... 因?yàn)槲覀兿M澜绺鲊鴪F(tuán)結(jié)起來去應(yīng)對……(6)And if we do not act ... 如果我們不采取行動(dòng)……(7)Now, I share the concerns that have been expressed ... 我也同意對于……表達(dá)的擔(dān)心(8)Let us show the world that by working together we can ... 讓我們告訴全世界,通過一起努力我們可以……(9)It is now time for us to ... 是時(shí)候我們……(10)And I have always wished that ... 我一直希望……(11)Thank you for letting me share this day with me.感謝你們和我共度這一天。實(shí)踐演練:假如你是高中生李華,你校將舉辦一次以“音樂”為主題的演講比賽,請你按照主題,寫下你的演講稿。注意:詞數(shù)100左右。First of all, thank you for listening to my speech. My topic is: love music like love yourself.Music is like the air we need to maintain our normal lives around us. You can't imagine how terrible a world without music would be. Movies and TV shows have no music, only dry conversations and scenes; mobile phones only vibrations; streets only noisy crowds; cafes, western restaurants only depressed meals. What a terrible world it is!As a student, I hope we all can enjoy the fun brought by music in our spare time. Instead of just listening to music, we can even make our own music. Let's enjoy the fun of music!Thanks again for your attention!

【教材分析】This teaching period mainly deals with reading for writing a letter of advice. Students are expected to learn the knowledge about how to write a suggestion letter. The teacher is expected to enable students to master some writing skills concerning suggestion letters and learn to write one.【教學(xué)目標(biāo)與核心素養(yǎng)】1. Get students to have a good understanding of how to write a suggestion letter properly.2. Enable students to use some writing skills flexibly.3. Develop students’ writing and cooperating abilities.4. Strengthen students’ great interest in writing discourses.【教學(xué)重難點(diǎn)】1. How to enable students to have a good understanding of the skills of writing a suggestion letter2.How to enable students to write a good recommendation letter using some writing skills properly.【教學(xué)過程】Step 1: Lead in Begin the class with the lead-in questions: how to write a letter for advice? What kinds of aspects should be included? It is strongly recommended that the teacher should ask students to discuss the topic freely with their partners and brainstorm some ideas concerning the topic. In this way, students can come up with more ideas and avoid being nervous at the beginning of the class.Step 2: Read to discover details concerning advice letters’ writing style.The teacher is expected to ask students to read a letter offering some advice on page 18 silently and then request students to discuss the questions below.

Step 3: Read to sum upRead it again and sum up the problems of the three students, and then write down the advice that was given from others.Step 4: Work in pairs. List your learning problems in English and brainstorm some useful advice.Useful expressions ? I don't know how to…... Is a big difficulty for me. I cannot ...? You might try …. It's very important to…? I have no idea how/what .My biggest problem is .... ? I (also) have trouble with. My advice is …. This worked for me.? l cannot understand the teachers’ English in class.Step 5 Homework:為提高我校學(xué)生的英語口語水平,我們將舉辦英語演講比賽(English- speaking contest),請你根據(jù)下面的信息,以學(xué)生會(huì)(the Students‘ Union)的名義寫一份海報(bào),歡迎全校同學(xué)參加,屆時(shí)特邀本校美籍教師史密斯先生頒獎(jiǎng)。? 報(bào)名時(shí)間 9月30日以前(報(bào)名:signup)? 報(bào)名地點(diǎn) 學(xué)生會(huì)辦公室? 比賽時(shí)間 10月9日晚7:00~9:00? 比賽地點(diǎn) 學(xué)校大會(huì)議室? 獎(jiǎng)勵(lì) 前8名
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