對于離散型隨機變量,可以由它的概率分布列確定與該隨機變量相關(guān)事件的概率。但在實際問題中,有時我們更感興趣的是隨機變量的某些數(shù)字特征。例如,要了解某班同學(xué)在一次數(shù)學(xué)測驗中的總體水平,很重要的是看平均分;要了解某班同學(xué)數(shù)學(xué)成績是否“兩極分化”則需要考察這個班數(shù)學(xué)成績的方差。我們還常常希望直接通過數(shù)字來反映隨機變量的某個方面的特征,最常用的有期望與方差.二、 探究新知探究1.甲乙兩名射箭運動員射中目標靶的環(huán)數(shù)的分布列如下表所示:如何比較他們射箭水平的高低呢?環(huán)數(shù)X 7 8 9 10甲射中的概率 0.1 0.2 0.3 0.4乙射中的概率 0.15 0.25 0.4 0.2類似兩組數(shù)據(jù)的比較,首先比較擊中的平均環(huán)數(shù),如果平均環(huán)數(shù)相等,再看穩(wěn)定性.假設(shè)甲射箭n次,射中7環(huán)、8環(huán)、9環(huán)和10環(huán)的頻率分別為:甲n次射箭射中的平均環(huán)數(shù)當(dāng)n足夠大時,頻率穩(wěn)定于概率,所以x穩(wěn)定于7×0.1+8×0.2+9×0.3+10×0.4=9.即甲射中平均環(huán)數(shù)的穩(wěn)定值(理論平均值)為9,這個平均值的大小可以反映甲運動員的射箭水平.同理,乙射中環(huán)數(shù)的平均值為7×0.15+8×0.25+9×0.4+10×0.2=8.65.
4.寫出下列隨機變量可能取的值,并說明隨機變量所取的值表示的隨機試驗的結(jié)果.(1)一個袋中裝有8個紅球,3個白球,從中任取5個球,其中所含白球的個數(shù)為X.(2)一個袋中有5個同樣大小的黑球,編號為1,2,3,4,5,從中任取3個球,取出的球的最大號碼記為X.(3). 在本例(1)條件下,規(guī)定取出一個紅球贏2元,而每取出一個白球輸1元,以ξ表示贏得的錢數(shù),結(jié)果如何?[解] (1)X可取0,1,2,3.X=0表示取5個球全是紅球;X=1表示取1個白球,4個紅球;X=2表示取2個白球,3個紅球;X=3表示取3個白球,2個紅球.(2)X可取3,4,5.X=3表示取出的球編號為1,2,3;X=4表示取出的球編號為1,2,4;1,3,4或2,3,4.X=5表示取出的球編號為1,2,5;1,3,5;1,4,5;2,3,5;2,4,5或3,4,5.(3) ξ=10表示取5個球全是紅球;ξ=7表示取1個白球,4個紅球;ξ=4表示取2個白球,3個紅球;ξ=1表示取3個白球,2個紅球.
1.確定研究對象,明確哪個是解釋變量,哪個是響應(yīng)變量;2.由經(jīng)驗確定非線性經(jīng)驗回歸方程的模型;3.通過變換,將非線性經(jīng)驗回歸模型轉(zhuǎn)化為線性經(jīng)驗回歸模型;4.按照公式計算經(jīng)驗回歸方程中的參數(shù),得到經(jīng)驗回歸方程;5.消去新元,得到非線性經(jīng)驗回歸方程;6.得出結(jié)果后分析殘差圖是否有異常 .跟蹤訓(xùn)練1.一只藥用昆蟲的產(chǎn)卵數(shù)y與一定范圍內(nèi)的溫度x有關(guān),現(xiàn)收集了6組觀測數(shù)據(jù)列于表中: 經(jīng)計算得: 線性回歸殘差的平方和: ∑_(i=1)^6?〖(y_i-(y_i ) ?)〗^2=236,64,e^8.0605≈3167.其中 分別為觀測數(shù)據(jù)中的溫度和產(chǎn)卵數(shù),i=1,2,3,4,5,6.(1)若用線性回歸模型擬合,求y關(guān)于x的回歸方程 (精確到0.1);(2)若用非線性回歸模型擬合,求得y關(guān)于x回歸方程為 且相關(guān)指數(shù)R2=0.9522. ①試與(1)中的線性回歸模型相比較,用R2說明哪種模型的擬合效果更好 ?②用擬合效果好的模型預(yù)測溫度為35℃時該種藥用昆蟲的產(chǎn)卵數(shù).(結(jié)果取整數(shù)).
一、情境導(dǎo)學(xué)我國著名數(shù)學(xué)家吳文俊先生在《數(shù)學(xué)教育現(xiàn)代化問題》中指出:“數(shù)學(xué)研究數(shù)量關(guān)系與空間形式,簡單講就是形與數(shù),歐幾里得幾何體系的特點是排除了數(shù)量關(guān)系,對于研究空間形式,你要真正的‘騰飛’,不通過數(shù)量關(guān)系,我想不出有什么好的辦法…….”吳文俊先生明確地指出中學(xué)幾何的“騰飛”是“數(shù)量化”,也就是坐標系的引入,使得幾何問題“代數(shù)化”,為了使得空間幾何“代數(shù)化”,我們引入了坐標及其運算.二、探究新知一、空間直角坐標系與坐標表示1.空間直角坐標系在空間選定一點O和一個單位正交基底{i,j,k},以點O為原點,分別以i,j,k的方向為正方向、以它們的長為單位長度建立三條數(shù)軸:x軸、y軸、z軸,它們都叫做坐標軸.這時我們就建立了一個空間直角坐標系Oxyz,O叫做原點,i,j,k都叫做坐標向量,通過每兩個坐標軸的平面叫做坐標平面,分別稱為Oxy平面,Oyz平面,Ozx平面.
溫故知新 1.離散型隨機變量的定義可能取值為有限個或可以一一列舉的隨機變量,我們稱為離散型隨機變量.通常用大寫英文字母表示隨機變量,例如X,Y,Z;用小寫英文字母表示隨機變量的取值,例如x,y,z.隨機變量的特點: 試驗之前可以判斷其可能出現(xiàn)的所有值,在試驗之前不可能確定取何值;可以用數(shù)字表示2、隨機變量的分類①離散型隨機變量:X的取值可一、一列出;②連續(xù)型隨機變量:X可以取某個區(qū)間內(nèi)的一切值隨機變量將隨機事件的結(jié)果數(shù)量化.3、古典概型:①試驗中所有可能出現(xiàn)的基本事件只有有限個;②每個基本事件出現(xiàn)的可能性相等。二、探究新知探究1.拋擲一枚骰子,所得的點數(shù)X有哪些值?取每個值的概率是多少? 因為X取值范圍是{1,2,3,4,5,6}而且"P(X=m)"=1/6,m=1,2,3,4,5,6.因此X分布列如下表所示
∵在△EFP中,|EF|=2c,EF上的高為點P的縱坐標,∴S△EFP=4/3c2=12,∴c=3,即P點坐標為(5,4).由兩點間的距離公式|PE|=√("(" 5+3")" ^2+4^2 )=4√5,|PF|=√("(" 5"-" 3")" ^2+4^2 )=2√5,∴a=√5.又b2=c2-a2=4,故所求雙曲線的方程為x^2/5-y^2/4=1.5.求適合下列條件的雙曲線的標準方程.(1)兩個焦點的坐標分別是(-5,0),(5,0),雙曲線上的點與兩焦點的距離之差的絕對值等于8;(2)以橢圓x^2/8+y^2/5=1長軸的端點為焦點,且經(jīng)過點(3,√10);(3)a=b,經(jīng)過點(3,-1).解:(1)由雙曲線的定義知,2a=8,所以a=4,又知焦點在x軸上,且c=5,所以b2=c2-a2=25-16=9,所以雙曲線的標準方程為x^2/16-y^2/9=1.(2)由題意得,雙曲線的焦點在x軸上,且c=2√2.設(shè)雙曲線的標準方程為x^2/a^2 -y^2/b^2 =1(a>0,b>0),則有a2+b2=c2=8,9/a^2 -10/b^2 =1,解得a2=3,b2=5.故所求雙曲線的標準方程為x^2/3-y^2/5=1.(3)當(dāng)焦點在x軸上時,可設(shè)雙曲線方程為x2-y2=a2,將點(3,-1)代入,得32-(-1)2=a2,所以a2=b2=8.因此,所求的雙曲線的標準方程為x^2/8-y^2/8=1.當(dāng)焦點在y軸上時,可設(shè)雙曲線方程為y2-x2=a2,將點(3,-1)代入,得(-1)2-32=a2,a2=-8,不可能,所以焦點不可能在y軸上.綜上,所求雙曲線的標準方程為x^2/8-y^2/8=1.
本節(jié)課選自《2019人教A版高中數(shù)學(xué)選擇性必修第一冊》第二章《直線和圓的方程》,本節(jié)課主要學(xué)習(xí)拋物線及其標準方程在經(jīng)歷了橢圓和雙曲線的學(xué)習(xí)后再學(xué)習(xí)拋物線,是在學(xué)生原有認知的基礎(chǔ)上從幾何與代數(shù)兩 個角度去認識拋物線.教材在拋物線的定義這個內(nèi)容的安排上是:先從直觀上認識拋物線,再從畫法中提煉出拋物線的幾何特征,由此抽象概括出拋物線的定義,最后是拋物線定義的簡單應(yīng)用.這樣的安排不僅體現(xiàn)出《課程標準》中要求通過豐富的實例展開教學(xué)的理念,而且符合學(xué)生從具體到抽象的認知規(guī)律,有利于學(xué)生對概念的學(xué)習(xí)和理解.坐標法的教學(xué)貫穿了整個“圓錐曲線方程”一章,是學(xué)生應(yīng)重點掌握的基本數(shù)學(xué)方法 運動變化和對立統(tǒng)一的思想觀點在這節(jié)知識中得到了突出體現(xiàn),我們必須充分利用好這部分教材進行教學(xué)
問題1. 用一個大寫的英文字母或一個阿拉伯?dāng)?shù)字給教室里的一個座位編號,總共能編出多少種不同的號碼?因為英文字母共有26個,阿拉伯?dāng)?shù)字共有10個,所以總共可以編出26+10=36種不同的號碼.問題2.你能說說這個問題的特征嗎?上述計數(shù)過程的基本環(huán)節(jié)是:(1)確定分類標準,根據(jù)問題條件分為字母號碼和數(shù)字號碼兩類;(2)分別計算各類號碼的個數(shù);(3)各類號碼的個數(shù)相加,得出所有號碼的個數(shù).你能舉出一些生活中類似的例子嗎?一般地,有如下分類加法計數(shù)原理:完成一件事,有兩類辦法. 在第1類辦法中有m種不同的方法,在第2類方法中有n種不同的方法,則完成這件事共有:N= m+n種不同的方法.二、典例解析例1.在填寫高考志愿時,一名高中畢業(yè)生了解到,A,B兩所大學(xué)各有一些自己感興趣的強項專業(yè),如表,
當(dāng)A,C顏色相同時,先染P有4種方法,再染A,C有3種方法,然后染B有2種方法,最后染D也有2種方法.根據(jù)分步乘法計數(shù)原理知,共有4×3×2×2=48(種)方法;當(dāng)A,C顏色不相同時,先染P有4種方法,再染A有3種方法,然后染C有2種方法,最后染B,D都有1種方法.根據(jù)分步乘法計數(shù)原理知,共有4×3×2×1×1=24(種)方法.綜上,共有48+24=72(種)方法.故選B.答案:B5.某藝術(shù)小組有9人,每人至少會鋼琴和小號中的一種樂器,其中7人會鋼琴,3人會小號,從中選出會鋼琴與會小號的各1人,有多少種不同的選法?解:由題意可知,在藝術(shù)小組9人中,有且僅有1人既會鋼琴又會小號(把該人記為甲),只會鋼琴的有6人,只會小號的有2人.把從中選出會鋼琴與會小號各1人的方法分為兩類.第1類,甲入選,另1人只需從其他8人中任選1人,故這類選法共8種;第2類,甲不入選,則會鋼琴的只能從6個只會鋼琴的人中選出,有6種不同的選法,會小號的也只能從只會小號的2人中選出,有2種不同的選法,所以這類選法共有6×2=12(種).因此共有8+12=20(種)不同的選法.
已知一水壩的橫斷面是梯形ABCD,下底BC長14m,斜坡AB的坡度為3∶3,另一腰CD與下底的夾角為45°,且長為46m,求它的上底的長(精確到0.1m,參考數(shù)據(jù):2≈1.414,3≈1.732).解析:過點A作AE⊥BC于E,過點D作DF⊥BC于F,根據(jù)已知條件求出AE=DF的值,再根據(jù)坡度求出BE,最后根據(jù)EF=BC-BE-FC求出AD.解:過點A作AE⊥BC,過點D作DF⊥BC,垂足分別為E、F.∵CD與BC的夾角為45°,∴∠DCF=45°,∴∠CDF=45°.∵CD=46m,∴DF=CF=462=43(m),∴AE=DF=43m.∵斜坡AB的坡度為3∶3,∴tan∠ABE=AEBE=33=3,∴BE=4m.∵BC=14m,∴EF=BC-BE-CF=14-4-43=10-43(m).∵AD=EF,∴AD=10-43≈3.1(m).所以,它的上底的長約為3.1m.方法總結(jié):考查對坡度的理解及梯形的性質(zhì)的掌握情況.解決問題的關(guān)鍵是添加輔助線構(gòu)造直角三角形.
本板塊的活動主題是“談?wù)摴?jié)日活動”(Talk about festival activities),主要是從貼近學(xué)生日常生活的角度來切入“節(jié)日”主題。學(xué)生會聽到發(fā)生在三個國家不同節(jié)日場景下的簡短對話,對話中的人們正在參與或?qū)⒁H歷不同的慶祝活動。隨著全球化的進程加速,國際交流日益頻繁,無論是國人走出國門還是外國友人訪問中國,都已成為司空見慣的事情。因此,該板塊所選取的三個典型節(jié)日場景都是屬于跨文化交際語境,不僅每組對話中的人物來自不同的文化背景,對話者的身份和關(guān)系也不盡相同。1. Master the new words related to holiday: the lantern, Carnival, costume, dress(sb)up, march, congratulation, congratulate, riddle, ceremony, samba, make - up, after all. 2. To understand the origin of major world festivals and the activities held to celebrate them and the significance of these activities;3. Improve listening comprehension and oral expression of the topic by listening and talking about traditional festivals around the world;4. Improve my understanding of the topic by watching pictures and videos about different traditional festivals around the world;5. Review the common assimilation phenomenon in English phonetics, can distinguish the assimilated phonemes in the natural language flow, and consciously use the assimilation skill in oral expression. Importance:1. Guide students to pay attention to the attitude of the speaker in the process of listening, and identify the relationship between the characters;2. Inspire students to use topic words to describe the festival activities based on their background knowledge. Difficulties:In the process of listening to the correct understanding of the speaker's attitude, accurately identify the relationship between the characters.
教學(xué)目標:1、理解并掌握正切的含義,會在直角三角形中求出某個銳角的正切值。2、了解計算一個銳角的正切值的方法。教學(xué)重點:理解并掌握正切的含義,會在直角三角形中求出某個銳角的正切值。教學(xué)難點:計算一個銳角的正切值的方法。教學(xué)過程:一、觀察回答:如圖某體育館,為了方便不同需求的觀眾設(shè)計了多種形式的臺階。下列圖中的兩個臺階哪個更陡?你是怎么判斷的?圖(1) 圖(2)[點撥]可將這兩個臺階抽象地看成兩個三角形答:圖 的臺階更陡,理由 二、探索活動1、思考與探索一:除了用臺階的傾斜角度大小外,還可以如何描述臺階的傾斜程度呢?① 可通過測量BC與AC的長度,② 再算出它們的比,來說明臺階的傾斜程度。(思考:BC與AC長度的比與臺階的傾斜程度有何關(guān)系?)答:_________________.③ 討論:你還可以用其它什么方法?能說出你的理由嗎?答:________________________.2、思考與探索二:
(一)自學(xué)質(zhì)疑看書 解決下面兩個問題:1.下列圖中的兩個臺階哪個更陡?你是怎么判斷的? 答:圖 的臺階更陡,理由 2.除了用臺階的傾斜角度大小外,還可以如何描述臺階的傾斜程度呢?
一、 引入課題1. 復(fù)習(xí)初中所學(xué)函數(shù)的概念,強調(diào)函數(shù)的模型化思想;2. 閱讀課本引例,體會函數(shù)是描述客觀事物變化規(guī)律的數(shù)學(xué)模型的思想:(1)炮彈的射高與時間的變化關(guān)系問題;(2)南極臭氧空洞面積與時間的變化關(guān)系問題;(3)“八五”計劃以來我國城鎮(zhèn)居民的恩格爾系數(shù)與時間的變化關(guān)系問題3. 引導(dǎo)學(xué)生應(yīng)用集合與對應(yīng)的語言描述各個實例中兩個變量間的依賴關(guān)系;4. 根據(jù)初中所學(xué)函數(shù)的概念,判斷各個實例中的兩個變量間的關(guān)系是否是函數(shù)關(guān)系.
1. Ss look at the picture and scan the passage to understand the main idea while teacher is giving the following questions to inspire Ss to think.*Where are those people?*What are they doing?*Why are they so excited?2. Ss complete the passage with the appropriate -ing form. Then discuss and check the answers with class.Answers: boring, interesting, taking, exciting, amazing3. The teacher raises questions for the students to discuss and encourages them to express their opinions.*Do you like La Tomatina? Why or why not?4. Each group representative reports the discussion result, the teacher gives feedback and the evaluation.Step 6 PracticeActivity 41. Ss complete the Ex 2 in Using structures.2. Check the answers after finishing the exercises.①The dragon boat races are the most exciting part of the Dragon Boat Festival.② The children were excited to go Easter egg hunting.③What an amazing performance! This is the best music festival I have ever been to.④We were amazed by her funny-looking hat.⑤His inspiring speech at the conference won the admiration/ favour of the audience.⑥This is a challenging game to test your memory and observation capabilities. 3. T asks Ss to finish Ex 3 and 4 in Using structures by themselves, then check the answers with class.Step 6 Homework1. Understand and master the functions and usage of the -ing form;2. Finish the other exercises in Using structures.1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否理解和掌握動詞-ing形式作定語和表語的功能和意義;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否在理解文段內(nèi)容的基礎(chǔ)上,根據(jù)上下文語境和表達邏輯,能正確運用動詞-ing形式描述節(jié)日慶典。3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否歸納和積累用于表達情緒的相關(guān)詞匯。
*wide range of origins(= a great number of different origins, many kinds of origins)*It featured a parade and a great feast with music, dancing, and sports. (=A parade and a great feast with music, dancing, and sports were included as important parts of the Egyptian harvest festival.)*.. some traditions may fade away and others may be established.(= Some traditions may disappear gradually, while other new traditions may come into being.)Step 6 Practice(1) Listen and follow the tape.The teacher may remind the students to pay attention to the meaning and usage of the black words in the context, so as to prepare for the completion of the blanks in activity 5 and vocabulary exercises in the exercise book.(2) Students complete the text of activity 5 by themselves.The teacher needs to remind the students to fill in the blanks with the correct form of the vocabulary they have learned in the text.Students exchange their answers with their partners, and then teachers and students check their answers.(3)Finish the Ex in Activity 5 of students’ book.Step 7 Homework1. Read the text again, in-depth understanding of the text;2. Discuss the origin of festivals, the historical changes of related customs, the influence of commercial society on festivals and the connotation and essential meaning of festivals.3. Complete relevant exercises in the guide plan.1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否理解和掌握閱讀文本中的新詞匯的意義與用法;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否結(jié)合文本特點快速而準確地找到主題句;3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否理清論說文的語篇結(jié)構(gòu)和文本邏輯,了解節(jié)日風(fēng)俗發(fā)展與變遷,感悟節(jié)日的內(nèi)涵與意義。
(2) students are divided into groups according to the requirements of activity 3. Each student shares a story of personal experience or hearing-witnessing kindness, and then selects the most touching story in the group and shares it with the whole class. Before the students share the story, the teacher can instruct them to use the words and sentence patterns in the box to express. For example, the words in the box can be classified:Time order: first of all, then, after that, later, finally logical relationship :so, however, although, butTeachers can also appropriately add some transitional language to enrich students' expression:Afterwards, afterwards, at last, in the end, eventuallySpatial order: next to, far from, on the left, in front ofOtherwise, nevertheless, as a result, therefore, furthermore, in addition, as well asSummary: in a word, in short, on the whole, to sum up, in briefStep 8 Homework1. Understand the definition of "moral dilemma" and establish a correct moral view;2. Accumulate vocabulary about attitudes and emotions in listening texts and use them to express your own views;3. Complete relevant exercises in the guide plan.1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否理解理解“道德困境”的定義;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否通過說話人所表達的內(nèi)容、說話的語氣、語調(diào)等來判斷其態(tài)度和情緒;3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否針對具體的道德困境發(fā)表自己的看法和見解,能否掌握聽力理訓(xùn)練中的聽力策略。
Activity 81.Grasp the main idea of the listening.Listen to the tape and answer the following questions:Who are the two speakers in the listening? What is their relationship?What is the main idea of the first part of the listening? How about the second part?2.Complete the passage.Ask the students to quickly review the summaries of the two listening materials in activity 2. Then play the recording for the second time.Ask them to complete the passage and fill in the blanks.3.Play the recording again and ask the students to use the structure diagram to comb the information structure in the listening.(While listening, take notes. Capture key information quickly and accurately.)Step 8 Talking Activity 91.Focus on the listening text.Listen to the students and listen to the tape. Let them understand the attitudes of Wu Yue and Justin in the conversation.How does Wu Yue feel about Chinese minority cultures?What does Justin think of the Miao and Dong cultures?How do you know that?2.learn functional items that express concerns.Ask students to focus on the expressions listed in activity. 3.And try to analyze the meaning they convey, including praise (Super!).Agree (Exactly!)"(You're kidding.!)Tell me more about it. Tell me more about it.For example, "Yeah Sure." "Definitely!" "Certainly!" "No kidding!" "No wonder!" and so on.4.Ask the students to have conversations in small groups, acting as Jsim and his friends.Justin shares his travels in Guizhou with friends and his thoughts;Justin's friends should give appropriate feedback, express their interest in relevant information, and ask for information when necessary.In order to enrich the dialogue, teachers can expand and supplement the introduction of Miao, dong, Lusheng and Dong Dage.After the group practice, the teacher can choose several groups of students to show, and let the rest of the students listen carefully, after listening to the best performance of the group, and give at least two reasons.
Activity 41. Students complete the task of activity 4, then teachers and students check the answers. 2. The teacher organized the students to work together and asked them to use the tables and mind maps sorted out before to retold the important choices in Lin Qiaozhi's life and their resultsStep 5 Language points1. The teacher asks the students to read the text carefully, find out the core words and long and difficult sentences in the text and draw lines, understand the use of vocabulary, and analyze the structure of long and difficult sentences. 2. The teacher explains and summarizes the usage of core vocabulary and asks the students to take notes. 3. The teacher analyzes and explains the long and difficult sentences that the students don't understand, so that the students can understand them better. Step 6 Homework1. Read the text again, in-depth understanding of the text; 2. Master the use of core vocabulary and understand the long and difficult sentences. 3. Complete relevant exercises in the guide plan. 1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否理解和掌握閱讀文本中的新詞匯的意義與用法;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否結(jié)合文本特點總結(jié)林巧稚的人生原則和人格品質(zhì)特征;3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否針對人生抉擇發(fā)表自己的看法;能否全面地、客觀地、理性地看待問題,進而對道德和人性有更加深入的思考和理解。
The joke set her crying.這個玩笑使她哭起來。Step 5 ReadingActivity 31. Students read the small text in activity 3. The teacher provides several small questions to check whether students understand the content of the text and the ideographic function of the -ing form in the text.*Where are those people?*Why did Dr Bethune come to China?*How did he help the Chinese people during the war?*What did Chairman Mao Zedong say about him?2. Ss try to rewrite some sentences using the -ing form. Then check the answers. When checking the answers, the teacher can ask different students to read the rewritten sentences and give comments.Answers:1. he became very interested in medicine, deciding to become a doctor.2. …after hearing that many people were dying in the war.3. Helping to organise hospitals, he taught doctors and nurses, and showed people how to give first aid./ He helped to organise hospitals, teaching doctors and nurses, and showing people how to give first aid.4. …praising Dr Bethune as a hero to be remembered in China.Step 6 PracticeActivity 4Students complete grammar activities 2 and 3 on page 69 of the workbook.Step 6 Homework1. Understand and master the functions and usage of the -ing form;2. Finish the other exercises in Using structures.1、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生是否理解和掌握動詞-ing形式作賓語補足語語和狀語語的功能和意義;2、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否正確使用動詞-ing形式描述人物的行為、動作及其經(jīng)歷;3、通過本節(jié)內(nèi)容學(xué)習(xí),學(xué)生能否獨立完成練習(xí)冊和導(dǎo)學(xué)案中的相關(guān)練習(xí)。