(1)文化與經(jīng)濟、政治在經(jīng)濟基礎(chǔ)上相互影響。①經(jīng)濟、政治和文化是社會生活的三個基本領(lǐng)域。其中,經(jīng)濟是基礎(chǔ),政治是經(jīng)濟的集中表現(xiàn),文化是經(jīng)濟和政治的反映。一定的文化由一定的經(jīng)濟、政治所決定,又反作用于一定的政治、經(jīng)濟,給予政治、經(jīng)濟以重大影響。②經(jīng)濟發(fā)展是文化發(fā)展的基礎(chǔ)。但這并不意味著文化的發(fā)展始終與經(jīng)濟的發(fā)展亦步亦趨。如同不能簡單地把精神文明看作是物質(zhì)文明的派生物和附屬品一樣,也不能簡單地認為文化是經(jīng)濟、政治的派生物和附屬品。文化有其自身的傳承性和相對的獨立性。那種認為只要物質(zhì)條件好了,精神文化自然而然地就會好起來,物質(zhì)條件差一點,精神文化就不可能搞好的觀點,不符合歷史發(fā)展的事實,是不正確的。③掀開歷史的畫卷,文化既有古今和地域之別,又有先進與落后、腐朽之分。不同的文化,對經(jīng)濟、政治的影響不同,對社會發(fā)展的作用也不同。不同民族的文化,影響不同民族和國家各具特色的發(fā)展道路。
(二)講授新課:1、講授重點:文化與經(jīng)濟、政治的關(guān)系。我首先帶領(lǐng)學(xué)生分析課本上的活動探究,了解日常生活中的常見活動,讓學(xué)生們觀看視頻材料幫助學(xué)生對文化活動、經(jīng)濟活動、政治活動進行辨別和分類。然后讓學(xué)生們舉例說明,綜合探究,最后通過集體討論得出文化與經(jīng)濟政治的關(guān)系:經(jīng)濟是基礎(chǔ),政治是經(jīng)濟的集中表現(xiàn),文化是經(jīng)濟和政治的反映,一定的文化由一定的經(jīng)濟和政治決定,又反作用于政治和經(jīng)濟。這個問題是本課重點。要引導(dǎo)學(xué)生循序漸進,集體討論,得出結(jié)論。2、突破難點:(1)文化與經(jīng)濟政治相互交融,在時代發(fā)展的進程中。首先播放上海世博會視頻,讓學(xué)生體會文化、經(jīng)濟、政治活動,另外我會引導(dǎo)學(xué)生積極舉生活中的事例,來說明問題,讓學(xué)生學(xué)會舉一反三,充分理解這一知識,讓學(xué)生明白文化與經(jīng)濟、政治的聯(lián)系,讓學(xué)生清楚文化滲透的力量有多大,幫助學(xué)生樹立反對文化霸權(quán)主義的意識。
(二)引入內(nèi)容1、播放幻燈片,從名言引出思考,什么是文化,如何理解文化?學(xué)生探究,既可質(zhì)疑,也可談自己對文化的理解2、幻燈片,以三組幻燈,分三個階段,學(xué)生分別通過小組討論的形式,歸納總結(jié)文化現(xiàn)象的三個特征3、根據(jù)對文化現(xiàn)象的認識,歸納總結(jié)文化的內(nèi)涵及外延小活動:把不是文化的山、水、樹,由幾組同學(xué)畫出來,體會文化的含義4、一組判斷題,哪些是文化的,哪些不是5、理解文化的特點首先,根據(jù)前面,總結(jié)文化現(xiàn)象的特征,歸納出文化的普通性及特殊性其次,播放視頻,歸納總結(jié)文化是人類特有的現(xiàn)象第三,根據(jù)教材材料,小組探究總結(jié),文化是后天習(xí)得的第四,借助小活動的材料,歸納,文化需要一定的物質(zhì)載體6、文化的作用首先、觀看視頻,小組探究總結(jié),文化對于人的影響其次,觀看視頻,小組探究總結(jié),文化對社會的影響
3、文化的力量。為了使學(xué)生能辨證地分析文化的力量,我設(shè)計了兩個問題進行探討:(1)是不是任何文化都能起促進作用?(2)你在聽或唱國歌時感受到一種什么樣的力量?這樣,學(xué)生在對比中學(xué)會辨證地分析文化的力量——先進的、健康的文化能促進社會發(fā)展和個人成長;落后的、腐朽的文化則阻礙社會發(fā)展和個人成長。同時還能提高學(xué)生的文化賞析能力,從而引導(dǎo)學(xué)生裝自覺參加健康有益的文化活動,抵制不良文化的影響,投身到社會主義精神文明建設(shè)中去。關(guān)于課堂練習(xí),我準備了5個針對性比較強的選擇題,從而加深鞏固本框題的重難點知識。最后,播放歌曲《走進新時代》,展示本課知識結(jié)構(gòu),指出本框題需重點掌握的問題,結(jié)束本課教學(xué)。課后作業(yè),我設(shè)計了這樣一個辨析的題目:文化是人們創(chuàng)造的全部財富的總和,它是人類特有的現(xiàn)象。
一. 教材分析1. 本單元的中心話題是“計算機(Computers)”,內(nèi)容涉及計算機的發(fā)展歷史,計算機的應(yīng)用等。本節(jié)課是該單元的第一課時,我將Warming up, Pre-reading and Comprehending這四部分整合為一節(jié)精讀課。其中。Reading部分是題為WHO AM I?的文章,以第一人稱的擬人手法介紹了計算機發(fā)長演變的歷史和計算機在各個領(lǐng)域的應(yīng)用,其主旨是表達計算機的發(fā)展變化之快以及在生活中用途之廣。而Warming up部分以圖片的形式展現(xiàn)了計算機的發(fā)展歷程;Pre-reading中的問題和排序分別是為了預(yù)測語篇的內(nèi)容和測試學(xué)生對計算機歷史了解的情況;Comprehending則通過各項練習(xí)訓(xùn)練學(xué)生的閱讀技能,從而加深對文章的理解??梢娺@幾部分是一個有機的整體。2. 教學(xué)目標:1) 語言目標:重點詞匯及短語:abacus, calculate, calculator, PC, laptop, PDA, robot, analytical, technological, universal, mathematical, artificial, intelligent, network, explore, in common, as a result.重點句子:a. My real father was Alan Turing, who in 1963 wrote a book to describe how computers could be made to work, and build a “universal machine” to solve any mathematical problem.
When it comes to the students’ studying methods, I'd like to introduce my Ss first. The Ss have a good command of basic language points. They’re interested in learning English, and they take an active part in English class, so they will have fun in autonomous, cooperative and inquiry learning. I will just serve as a guide, showing them the way to explore how to make more progress in their English learning.Now it’s time for the most important stage of this lesson. My teaching procedures are arranged as follows:Step1.Leading-in (3 minute)Play a video of a wide variety of wildlife to introduce my topic. Step2. Speaking (12 minutes)We will use our textbook Page25. Let the Ss fast read the short paragraph to warm up. Ask them to talk about the report on some endangered wildlife in China with the dialogue patterns on the screen. Lastly, I will invite some groups to demonstrate their dialogues about saving wildlife in China.Step3.English play (3 minutes)Watch another video in praise of their excellent performance just now. It’s about Jack Chen’s(成龍)and Yang Ziqiong’s wildlife protection.Step4. Listening (twice 13 minutes)This time, I’ll ask the Ss to fill in the blanks of the monologue of the 2 movie stars above. Step5.Discussion (3 minutes)Which would you like to choose to wear, clothes made of cotton, artificial leather or animal skins? Why ?Step6. Summary (3 minutes)1. If there were no wildlife, there wouldn’t exist human beings. If the buying stops, the killing can, too.2. Animals are our friends. To love animals is to love ourselves. Stop hunting, killing and destroying wildlife.3. Let’s live in harmony with all the living things in the world. Step7. Music appreciation (3 minutes)Let the Ss appreciate the song Earth Song by Michael Jackson. Last but not the least, I will show you my blackboard design.
Then I would ask them to think of a funny English or Chinese and tell it to partners. While telling stories, they can use expressions and some acting to help make the story funny. 5 minutes would be given to do this.Those stories they told there will be the material for their writing. Soletting them tell it at first is helpful. And they can make a difference between telling a funny story and writing it down. Generally speaking, it is difficult forstudents to write well because they don’t know what to write and how to write. Asking them to tell their own stories at first can help them come up with what to write.After their telling, I would invite someone to share his/her story with all of us and I would write it down on the blackboard.This example story would be used as a sample to illustrate the format of funny story. Different from a story from teacher or textbook, a story from students can obviously become a interesting material to draw students’ attention.Then I would ask the whole class to put this story into several parts. It might be a little bit difficult for them. So I would ask them to find out whether all the sentences are necessary. After delete some sentences, there are 6 sentences left behind. Then they can easily put them into three parts. After interaction with students, I would teach them the right terms for each part and conclude the format of funny story.This step is the key and difficult point in my lesson. So I mainly usetask-based teaching method in this part and the task for students was divided into several stages. With the separated difficult level, students can find there are usually three parts in writing. They can also learn to write without the unnecessary parts in the process of analyzing. And then I wouldn’t rush to tell them the right terms to them directly. Instead, I would ask them to name them by their own. A confused mind is better for acquiring knowledge.While-writing:Then I would give students 7 minutes to write down this story, without other requirements.With all the preparations in pre-writing, students’ difficulties were cleared. So it would be much easier for them to write down the story within 7 minutes. There are no other requirements because students’ first writing is actually a drafting. It would be revise and edit several times later. Writing, as a skill
Good afternoon, teachers, It’s my great pleasure to be here sharing my lesson with you.The content of my lesson is Senior English Book 3 Unit 5 Canada —— “The true North”.I’ll be ready to begin this lesson from five parts. Analysis of the teaching material,the teaching methods,the studying methods, the teaching procedure,and Blackboard design.First, let me talk about the teaching material.Part 1 Teaching Material:This unit is about the introduction of Canada. By studying of this unit,we’ll enable the students to learn the geography, population, main cities, and natural beauty, natural resources of Canada. Through the training of the unit, it also requires students to learn some Language skills such as the expressions of position and emotions.So it plays an important part in the English teaching in this book.After studying the teaching material and analyzing the rule of children’s growing of mind,I think the teaching aims are the followings:1.Knowledge objects:(1) make the students learn some new words and phrases(2) make the students understand the content of the lesson.2.Ability objects:(1)To develop the Ss’ abilities of listening, speaking, reading and writing. Especially reading and speaking ability.(2) learn to talk about the characters of Canada in English(3)To train the Ss’ ability of working in pairs.3.Emotion objects:(1)Enable students to understand the characters of Canada..(2)Stimulate Ss to work hard to make China stronger.Part 2 Teaching Methods:I think helping students learn to master new words and phrases and improve the students’ reading and speaking ability is import and the difficult.According to the analysis of the teaching material and the import points and the difficult points,I will use the following teaching methods : question-guiding approach; fast-reading and careful reading; multi-media teaching methods; discussion
The oldest and the most popular park in the worldenjoy the exciting activities thereget close to the life-size cartoon characters like Mickey Mouse and Donald Duck Step 3 Pre-reading1.What do you suppose a theme park is ?2.What do you think you can see in a theme park?(1.It is a kind of amusement park which has a certain theme – that the whole park is based on. 2.buildings, castles, statues, rare animals and birds, and so on.) Step 4 Reading ----- Theme Parks –---- Fun and More Than Fun1.Predict : Read the title and the pictures on P. 34 and PredictWhat is the meaning of the title “Theme Park – Fun and more than fun”?(The title means that theme parks are fun to visit, but that they can also be educational and can offer useful information.)2.Skimming Fast read and answer:What activities can we take in a theme park?Amusement park: Bumper car Merry-go-round slide bungee jumping Free-fall rides Horror films Pirate ship Ferris wheel roller coaster3.Scanning Read again and you will find various theme parks are mentioned in the passage . Then what are they ?Theme parks: Sports theme park History theme park Culture theme park Marine or Ocean theme Park Future park Science theme park Disneyland4.Careful reading and find the main idea of each paragraph:THEME PARKS---- entertaining/ educationalPara.1 Traditional parks are places to go for relaxation and to have time away from our busy lives.Para.2 Theme parks are different They’re large and full of things to do, see and buy.Para.3 Theme parks are built around a single idea or theme. One example is a sports park.Para.4 Another kind of theme park is historical more and cultural and can be educational.Para.5 Disneylandwas the first theme park. It is based on the fantasy life and characters of Disney’s films.Para.6 Some examples of educational theme parks include sea world parks and science parks.
Language learning needs a context, which can help the learners to understand the language and then can product comprehensible output, so computer has the advantages to make the materials attractive.Part 3 Learning MethodsTask-based, self-dependent and cooperative learningPart 4 Teaching ProcedureStep One Lead-in“Interest is the best teacher.” Therefore, at the very beginning of the class, I should spark the students’ mind to focus on the centre topic “the band”. I’ll show some pictures of food to attract their attention and then bring some questions.Question:What kind of food they like?What should go into a good meal?The answers must relate to the diet. After this, the students will be eager to know something about a balance diet and this is the very time to naturally lead the class into Step 2Step 2 Reading for information: skimming and scanning In this step, I use Task-based Language Teaching method, which can give students a clear and specific purpose while skimming and scanning the context.Task 1 General ideaThe students will be asked to just glance at the title and the pictures of the passage, and then guess what they will read in the text. And they’ll be divided into groups of four to have a discussion.The purpose is to inspire the students to read actively, not passively. In addition, the task is to develop the students’ reading skill by making prediction and to encourage the students to express their thoughts in English and cooperate with each other.Task 2 Main idea of each paragraphCooperative learning can raise the students’ interest and create an atmosphere of achievement. Based on this theory, I divide the whole class into 4 groups to skim the whole text and get the main idea of each paragraph.
本節(jié)課是人教社物理必修1第三章第三節(jié)的內(nèi)容,編排在彈力之后。該節(jié)知識既是力學(xué)的基礎(chǔ),也是組成整個高中物理知識的一塊“基石”,所以這節(jié)內(nèi)容的教學(xué)如何引領(lǐng)學(xué)生自主積極地探究摩擦力產(chǎn)生的條件和影響因素,體驗?zāi)Σ亮μ攸c規(guī)律的發(fā)生過程是本節(jié)課的重點,應(yīng)高度重視本節(jié)教學(xué)過程;由于摩擦力問題的復(fù)雜性,且在具體問題中又表現(xiàn)出“動中有靜,靜中有動”,尤其靜摩擦在許多情形下似乎又是“若有若無,方向不定”,因此,對于初學(xué)者也是有一定難度的。也正是由于教材內(nèi)容的上述特點,本節(jié)課又易于激起學(xué)生的求知欲,易于培養(yǎng)學(xué)生的辯證觀點,易于錘煉學(xué)生的物理素質(zhì)。要充分用好該節(jié)教材內(nèi)容,深入挖掘知識間的有機聯(lián)系,對學(xué)生開展針對性的思維訓(xùn)練,進而提高學(xué)生應(yīng)用物理知識解決實際問題的能力和創(chuàng)新思維能力。高中物理《課標》對該知識點的要求是,“通過實驗認識滑動摩擦、靜摩擦的規(guī)律,能用動摩擦因數(shù)計算摩擦力”。其中,對靜摩擦力規(guī)律的認識應(yīng)該包括最大靜摩擦力。
(一)、復(fù)習(xí)提問1、請說出功的計算公式及功的單位2、我們用哪個物理量表示物體運動的快慢?(二)、創(chuàng)設(shè)情景,引入新課1、播放多媒體素材,用起重機和一個工人搬運幾百塊磚比較哪一種方法好?圖中的情景說明了什么問題?(教師通過所設(shè)計的情景,將學(xué)生引入怎樣比較做功快慢,讓學(xué)生發(fā)表自己的看法,初步知道物體做功是有快慢之分的。)(三)、進行新課1、比較做功快慢的方法播放多媒體素材并提出問題:怎樣比較兩個人誰做功快誰做功慢?教師啟發(fā):以前學(xué)習(xí)過要比較兩物體運動的快慢,可以先確定路程再比較時間,也可以先確定時間再比較路程。在路程和時間都不同時,通過計算速度比較兩物體運動的快慢。同理,要比較物體做功的快慢可采用什么方法?
探究一:高中階段功的含義是什么?投影:初中九年級《物理》105頁學(xué)生思考:①圖中物體的勢能、動能分別如何變化?②物體能量的變化和做功是否存在關(guān)系?學(xué)生:分組討論,得出結(jié)論:如果物體的能量發(fā)生變化時,說明有力對物體做了功。教師:進行點評和小結(jié)(設(shè)計意圖:對初中知識深化理論認識,并為以后功能關(guān)系的教學(xué)作準備)探究二:力對物體做功的兩個要素是什么?情景再現(xiàn):找體重相對懸殊的兩位同學(xué),①A同學(xué)試圖抱起B(yǎng)同學(xué),但沒成功。②B同學(xué)抱起A同學(xué)在教室內(nèi)勻速走動。學(xué)生思考:在①中,A是否對B做功?在②中,B是否對A做功?學(xué)生:分析得出做功的兩要素:物體受到力的作用,并且在力的方向上發(fā)生位移.教師:讓學(xué)生分別例舉生活中力對物體做功和不做功的例子,(設(shè)計意圖:讓學(xué)生親身參與課堂實驗,烘托課堂氣氛,相互協(xié)作增進同學(xué)情誼)探究三:如果物體的位移不再力的方向上,那么力是否還對物體做功?
環(huán)節(jié)四 課堂小結(jié) 鞏固知識本節(jié)課我采用線索性的板書,整個知識結(jié)構(gòu)一目了然,為了充分發(fā)揮學(xué)生在課堂的主體地位,我將課堂小結(jié)交由學(xué)生完成,請學(xué)生根據(jù)課堂學(xué)習(xí)的內(nèi)容,結(jié)合我的板書設(shè)計來進行小結(jié),以此來幫助教師在第一時間掌握學(xué)生學(xué)習(xí)信息的反饋,同時培養(yǎng)學(xué)生歸納分析能力、概括能力。環(huán)節(jié)五 情景回歸,情感升華我的實習(xí)指導(dǎo)老師告訴過我們,政治這一門學(xué)科要從生活中來到生活去,所以在課堂的最后布置了課外探究題,以此培養(yǎng)學(xué)生對理論的實際運用能力,同時檢驗他們對知識的真正掌握情況,以此達到情感的升華,本節(jié)課,我根據(jù)建構(gòu)主義理論,強調(diào)學(xué)生是學(xué)習(xí)的中心,學(xué)生是知識意義的主動建構(gòu)者,是信息加工的主體,要強調(diào)學(xué)生在課堂中的參與性、以及探究性,不僅讓他們懂得知識,更讓他們相信知識,并且將知識融入到實踐當(dāng)中去,最終達到知、情、意、行的統(tǒng)一。
(2).教學(xué)手段為了使我根據(jù)教材而設(shè)計的三個教學(xué)目標以及重點難點得以的突出和突破,達到最大化的展示境界,同時也為了配合以上我選擇的四種教法得以完滿實現(xiàn),我決定采用“多媒體”教學(xué)手段進行全程教學(xué)。利用電腦的信息容量大,操作簡便等優(yōu)點,形象生動的直觀展示教學(xué)內(nèi)容,不但提高學(xué)習(xí)效率和質(zhì)量,而且容易激發(fā)學(xué)生的學(xué)習(xí)興趣和調(diào)動學(xué)習(xí)的積極性。四、說學(xué)法我為學(xué)生設(shè)計了三個學(xué)習(xí)方法:1.讓學(xué)生學(xué)會在探究中學(xué)。通過“對黑人嚴酷處境的探究”和對文中重點語句的探究,培養(yǎng)學(xué)生在探究中學(xué)習(xí)的能力。2.讓學(xué)生學(xué)會在讀中學(xué)。通過“誦讀法”指導(dǎo)學(xué)生在誦讀過程中感受演講詞內(nèi)在的魅力,學(xué)會在讀中學(xué)。3.讓學(xué)生學(xué)會在練習(xí)中學(xué)。通過“課外延伸練習(xí)法”,對所學(xué)的知識進行運用,培養(yǎng)學(xué)生的創(chuàng)新和自學(xué)能力。
預(yù)測回答:成龍在影視,武術(shù)方面的價值,對于某個人,某個集團的價值。知識引導(dǎo):人的價值體現(xiàn)在多方面的,可以是物質(zhì)方面,也可以是精神方面,可以是對某個人或某個集團的價值,也可以是對人類和社會的價值。設(shè)置目的:從學(xué)生感興趣的人物入手,分析對人的價值的評價。讓學(xué)生自己分析總結(jié),體現(xiàn)學(xué)生在新課改下的主體地位。從上述事例中我們可以看出人的價值是什么?如何評價?(學(xué)生活動)2.人的價值:在于創(chuàng)造價值,在于對社會的責(zé)任和貢獻,即通過自己的活動滿足自己所屬的社會、他人以及自己的需要。(幻燈片顯示)3.人的價值評價:看他的貢獻,最根本的是對社會發(fā)展和人類進步事業(yè)的貢獻。(幻燈片顯示)老師總結(jié):對社會的貢獻并不是高高在上,不可觸及。只要是做自己該做的事,從身邊的小事做起,普普通通的勞動就是貢獻社會和他人。學(xué)生歸納:人生價值原理二、價值觀的導(dǎo)向作用(板書)1.價值觀的含義人們在認識各種具體事物的價值的基礎(chǔ)上,形成對事物價值的總的看法和根本觀點。
各位老師,同學(xué)們:大家早上好,非常高興我們又相聚在這美好的早晨。今天我講話的題目是《美,無處不在》〉。美,是千百年來人類生活中不可缺少的內(nèi)容。松柏挺立,是堅忍不拔之美;花兒綻放,是蓬勃生機之美;虎嘯山崗,是粗獷豪邁之美。漢女描眉,追求的是視覺上的美;文人煉字,想要的是語言上的美;靜心悟道,追求的是思想境界上的美。古往今來,人類既然從未停止過對美的追求,那么在不同時代,就必然會存在著不同的審美差異。唐代女子以胖為美,體態(tài)豐腴的楊玉環(huán)才被視為傾城之貌,羞花之容。民-國以簡練為美,所以才有旗袍和中山裝的出現(xiàn)。不同時代有不同的審美標準,同一時代由于年齡,受教育程度,生活環(huán)境的差異也有所不同。俗話講的好,愛美之心、人皆有知。人們對美都有一個深刻的認識、和了解,它包括的內(nèi)容很多,不光有內(nèi)在的美和外在的美,就看你怎樣去理解和發(fā)現(xiàn)它。今天,就拿我們學(xué)校的發(fā)展變化來說吧,新學(xué)期,我們的校園處處展現(xiàn)出嶄新的面貌:廣闊的操場,披上了碧綠的新裝;修建了筆直的塑膠跑道
(3)內(nèi)陸和中西部城鎮(zhèn)主要以煤和火電為主;廣大農(nóng)村和邊遠地區(qū)大多正從使用農(nóng)作物秸稈等生物能源。(4)人均能源資源不足。我國是世界第三大能源生產(chǎn)國和第二大能源消費國,而我國能源短缺,特別是油氣資源短缺已成為制約我國經(jīng)濟發(fā)展的重要因素。相關(guān)數(shù)據(jù)——煤炭、石油和天然氣的人均資源占有量只有95t,世界平均值為209t,約是世界人均值的1/2;我國人均石油可采儲量3t,世界平均值為28t,約為世界平均值的1/10。我國人均能源消費量不足1.2噸標準煤,居世界89位,不足世界人均能源消費水平的一半,僅占發(fā)達國家的1/5~1/10。其中人均消費650kg標準煤,是世界平均額的95%;人均消費石油相當(dāng)145kg標準煤,為世界平均數(shù)的16.8%;人均消費天然氣相當(dāng)17.7kg標準煤,為世界平均數(shù)的3.9%;人均消費電力501.5kWh,為世界平均水平的25%。(5)是能源消費結(jié)構(gòu)不合理,突出存在著一低兩高:即電能消費比例低,非商品生物能源消費量高,一次性商品能源消費中原煤消費比重高。原煤消費達到75%,遠高于26.2%的世界平均水平。
反思感悟用基底表示空間向量的解題策略1.空間中,任一向量都可以用一個基底表示,且只要基底確定,則表示形式是唯一的.2.用基底表示空間向量時,一般要結(jié)合圖形,運用向量加法、減法的平行四邊形法則、三角形法則,以及數(shù)乘向量的運算法則,逐步向基向量過渡,直至全部用基向量表示.3.在空間幾何體中選擇基底時,通常選取公共起點最集中的向量或關(guān)系最明確的向量作為基底,例如,在正方體、長方體、平行六面體、四面體中,一般選用從同一頂點出發(fā)的三條棱所對應(yīng)的向量作為基底.例2.在棱長為2的正方體ABCD-A1B1C1D1中,E,F分別是DD1,BD的中點,點G在棱CD上,且CG=1/3 CD(1)證明:EF⊥B1C;(2)求EF與C1G所成角的余弦值.思路分析選擇一個空間基底,將(EF) ?,(B_1 C) ?,(C_1 G) ?用基向量表示.(1)證明(EF) ?·(B_1 C) ?=0即可;(2)求(EF) ?與(C_1 G) ?夾角的余弦值即可.(1)證明:設(shè)(DA) ?=i,(DC) ?=j,(DD_1 ) ?=k,則{i,j,k}構(gòu)成空間的一個正交基底.
問:為什么會出現(xiàn)這樣的情況,男女生之間的拉力存在著怎樣的大小關(guān)系?進一步求證這兩個力的大小關(guān)系經(jīng)過共同討論,得方案:把兩個彈簧秤勾在一起,重現(xiàn)拔河比賽,分三種情況進行。(通過攝像頭把彈簧秤的讀數(shù)放大)兩彈簧稱勾在一起拉,處于靜止不動時(即拔河比賽,雙方處于僵持狀態(tài))兩彈簧稱勾在一起拉,并向一方運動(即比賽繩子被拉向一方時的狀態(tài))3、兩彈簧稱勾在一起拉,一方方向慢慢改變(兩力方向始終在一條直線上)實驗結(jié)論:兩彈簧稱的讀數(shù)的變化總是相同的,大小相等,方向相反。得到牛頓第三定律:追問:既然兩個力大小相等,那么拔河比賽為什么還存在勝負之分?講清作用力與反作用力作用的受力物體不同,并和學(xué)生討論如何做才會獲勝?;貞?yīng)課前問題:“以卵擊石”為什么雞蛋碎?