
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.

Knowledge objectives:(1) to make Ss grasp the usage of words, expressions and sentence structures: statistics, struggle, thanks to, rid of, some patterns for persuasion, the “ing” form as subject and object;(2)to use learnt knowledge to persuade sb.Ability objectives:(1) to develop Ss’ reading skills(skimming, scanning, word guessing);(2) to improve Ss’ speaking, communicating and cooperating skills.Emotional objectives:to make Ss know the contribution of Yuan,and learn his spirit and his simple life time.Teaching important and difficult points:(1) some words, expressions and sentence structures mentioned above;(2)the content of the text;(3)training their reading and speaking skills.Teaching methods: CLT, TBLT,QT.Learning strategies: CLS, QLS, TBLS.Teaching procedures:Step 1 lead-in: (1) teacher plays a piece of recent news from CCTV about the harvest of the super hybrid rice, and ask students whether they know Yuan or not, and talk about him and his contribution.(2)Brain storm: let Ss describe Yuan in their minds including his appearance, his living condition and so on.Step 2 fast reading tasks:(1)teacher introduces Yuan and super hybrid rice(2)make Ss read the text as fast as possible with questions. Such as: what’s the general ideaof this passage? What’s Yuan’ dream? (skimming and scanning skill)Step 3 intensive reading tasks(1)let Ss read the text silently, find topic sentence of each paragraph and draw the difficult sentences and the knowledge what they don’t understand.(words guessing)(2)teacher and Ss talk about the important words, expressions and sentences together, and ask Ss to retell the content of the text.(summarizing and paraphrasing)(3)teacher summarize this part.(4) read again following the courseware.

四、教學(xué)方法和學(xué)法。課前學(xué)生搜集有關(guān)《詩經(jīng)》的資料必不可少。另外,時隔數(shù)千年,年代久遠(yuǎn),文字的障礙很大,然而,過分糾纏于文字的疏通會破壞詩歌的“氣”,喪失詩歌的“神”,所以在學(xué)習(xí)時,應(yīng)舍去條分縷析的理論評價,指導(dǎo)學(xué)生結(jié)合注釋疏通文字,然后引領(lǐng)他們經(jīng)由文字再現(xiàn)形象和事件,經(jīng)由形象和事件領(lǐng)略情感,感受其中濃濃的詩情。誦讀的環(huán)節(jié)是重要的,配以二胡獨奏《長相思》,營造意境,學(xué)生沉浸在音樂營造的意境中反復(fù)吟詠,讀出節(jié)奏,讀出音調(diào),讀出感情,細(xì)細(xì)體味,讓或優(yōu)或喜的情愫縈繞心間,我們就觸到了先民的靈魂。比興手法為《詩經(jīng)》獨創(chuàng),重章疊句同樣別致而新鮮,教學(xué)過程中結(jié)合具體語境讓學(xué)生自己去發(fā)現(xiàn)并進(jìn)行討論,不搞枯燥的知識傳授。還引入講故事、改寫兩種活潑的學(xué)習(xí)形式,從而達(dá)到加深理解的目的。

(二)分析課文,理清思路第1、2段為第一部分,主要是敘事、寫景,先敘述集會的時間、地點,然后渲染出蘭亭優(yōu)美的自然環(huán)境。在這里足以“游目騁懷”“極視聽之娛”,可以自由地觀察、思考,滿足人們目視耳聞的需求。這里正是與會“暢敘幽情”、盡興盡歡的絕好處所。這些描寫都富有詩情畫意,作者的情感是輕松愉快的。第3、4段為第二部分,主要是抒情、議論,作者由美景妙時引發(fā)出樂與憂、生與死的感慨。他認(rèn)為人生的快樂是有極限的,待快樂得到滿足時,就會感覺興味索然。往事轉(zhuǎn)眼間便成為歷史,人到了生命的盡頭就會死亡。作者由“一死生為虛誕,齊彭殤為妄作”的認(rèn)識,產(chǎn)生了一種珍惜時間、眷戀生活、熱愛文明的思考。雖然文中的壽夭、生死不能自由決定,從而有些傷感,但作者仍然認(rèn)識到盛衰、生死是必然的。人生無常,時不我待,故著文留傳后世,以承襲前人,啟示來者。

一、導(dǎo)入新課人類社會越來越現(xiàn)代化,新科學(xué)技術(shù)日新月異,令人目不暇接,稱之到了“知識爆炸”的時代也毫不為過。由此而來的是生活的快節(jié)奏,學(xué)習(xí)和工作的競爭也越來越激烈。這種競爭一直波及到了兒童,加之中國幾千年來形成的望子成龍的傳統(tǒng)觀念,使作父母的把一切希望都寄托在孩子身上,實現(xiàn)自己未能實現(xiàn)的理想。祖孫三代4、2、1的局面,使12只眼睛都盯在了孩子身上,真是走路怕摔著,吃飯怕噎著,干活怕累著,要星星不敢摘月亮,要吃什么跑遍全城也要買來。這種過分保護(hù)、溺愛及過早地灌輸知識會得到什么結(jié)果呢?樂觀者說孩子越來越聰明,越來越早熟,將來能更好適應(yīng)現(xiàn)代化的要求;悲觀者則認(rèn)為豆芽菜式的孩子將來經(jīng)不起風(fēng)浪,小皇帝太多了很難凝聚成統(tǒng)一力量,將來誰去當(dāng)兵,誰去干那些艱苦創(chuàng)業(yè)性工作……。對孩子本身來說,是幸福還是……在此不想多發(fā)議論,還是讓我們來看看動物世界的孩子們吧,也許會得到某種啟迪。

解析:材料是講學(xué)習(xí)型社會所產(chǎn)生的影響,A項觀點錯誤,在當(dāng)前和今后相當(dāng)長的時間里,學(xué)校教育仍然是人們獲得知識的最重要的途徑。B項觀點錯誤,終身學(xué)習(xí)只是成就人生目的的手段、途徑,而不是目的本身。D項說法錯誤,當(dāng)前我國社會的中心工作是經(jīng)濟(jì)建設(shè)。二、問答題5.材料一:日本是公認(rèn)的漫畫大國,日本的動漫產(chǎn)業(yè)產(chǎn)值每年230萬億日元,成為日本的第二大支柱產(chǎn)業(yè)。在日本,漫畫比電影、小說有時甚至比電視或音樂更受歡迎。日本漫畫的熱潮還席卷了世界:日本每年出口到美國的卡通片價值就達(dá)5 000億日元,是日本對美國鋼鐵出口金額的4倍;漫畫中的人物被迅速復(fù)制成電子游戲、卡通片及真人演出的節(jié)目。原來只是閑暇時候消遣的漫畫,正飛速滲透到人們的生活中。值得警惕的是,除了催人奮進(jìn)的精華之外,日本漫畫中也存在暴力、色情、扭曲歷史等諸多糟粕,對缺乏辨別能力的青少年產(chǎn)生了許多不良影響,更引發(fā)了一系列深刻的社會問題。

(1)文化與經(jīng)濟(jì)、政治在經(jīng)濟(jì)基礎(chǔ)上相互影響。①經(jīng)濟(jì)、政治和文化是社會生活的三個基本領(lǐng)域。其中,經(jīng)濟(jì)是基礎(chǔ),政治是經(jīng)濟(jì)的集中表現(xiàn),文化是經(jīng)濟(jì)和政治的反映。一定的文化由一定的經(jīng)濟(jì)、政治所決定,又反作用于一定的政治、經(jīng)濟(jì),給予政治、經(jīng)濟(jì)以重大影響。②經(jīng)濟(jì)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(jì)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(rèn)為文化是經(jīng)濟(jì)、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(rèn)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(jìn)與落后、腐朽之分。不同的文化,對經(jīng)濟(jì)、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。

一. 教材分析1. 本單元的中心話題是“計算機(jī)(Computers)”,內(nèi)容涉及計算機(jī)的發(fā)展歷史,計算機(jī)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(jī)發(fā)長演變的歷史和計算機(jī)在各個領(lǐng)域的應(yīng)用,其主旨是表達(dá)計算機(jī)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(jī)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(jī)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(jī)的整體。2. 教學(xué)目標(biāo):1) 語言目標(biāo):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.

鞏固深化ZT教育成果,進(jìn)一步凝聚推動貴陽高質(zhì)量發(fā)展的強(qiáng)大力量,要求我們堅持不懈在學(xué)懂弄通做實新時代中國特色社會主義思想中涵養(yǎng)初心、引領(lǐng)使命,切實做到學(xué)思用貫通、知信行統(tǒng)一。要堅持以人民為中心的發(fā)展思想,自覺同人民群眾想在一起、干在一起,以看得見的變化回應(yīng)群眾期盼。要發(fā)揚斗爭精神,加強(qiáng)實踐鍛煉、堅持實干導(dǎo)向,勇于擔(dān)當(dāng)作為;要敢于直面問題,勇于自我革命,把全市各級D組織鍛造得更加堅強(qiáng)有力。要堅持把“當(dāng)下改”與“長久立”結(jié)合起來,把建章立制和解決問題統(tǒng)一起來,不斷鞏固深化我市ZT教育成果。守初心、擔(dān)使命永遠(yuǎn)在路上。讓我們更加緊密地團(tuán)結(jié)在以同志為核心的D中央周圍,牢記囑托守初心、感恩奮進(jìn)擔(dān)使命,切實做到一個D員就是一面旗幟,一個支部就是一座堡壘,以堅定不移的決心、堅如磐石的信心、堅持不懈的恒心,堅決打好全面建成小康社會和“十三五”規(guī)劃收官之戰(zhàn),奮力開創(chuàng)貴陽更加美好的未來。

一、基本情況我市現(xiàn)有職業(yè)院校15所。其中,駐蚌高職院校2所,省屬中職學(xué)校3所;市區(qū)中職學(xué)校6所;縣域中職學(xué)校4所。市域內(nèi)中職學(xué)校中,國家級改革示范校3所;國家級職業(yè)學(xué)校5所。中職在校學(xué)生近5萬人,每年畢業(yè)生約1.5萬人,就業(yè)率達(dá)98%以上。近年來,我市職業(yè)教育在市級統(tǒng)籌、招生改革、基礎(chǔ)能力建設(shè)等方面取得了較好的成績,受到省內(nèi)外一致好評。20**年,安徽省人民政府將我市作為全省職業(yè)教育真抓實干取得明顯成效的地市通報表揚。

一、基本情況我市現(xiàn)有職業(yè)院校15所。其中,駐蚌高職院校2所,省屬中職學(xué)校3所;市區(qū)中職學(xué)校6所;縣域中職學(xué)校4所。市域內(nèi)中職學(xué)校中,國家級改革示范校3所;國家級職業(yè)學(xué)校5所。中職在校學(xué)生近5萬人,每年畢業(yè)生約1.5萬人,就業(yè)率達(dá)98%以上。近年來,我市職業(yè)教育在市級統(tǒng)籌、招生改革、基礎(chǔ)能力建設(shè)等方面取得了較好的成績,受到省內(nèi)外一致好評。20**年,安徽省人民政府將我市作為全省職業(yè)教育真抓實干取得明顯成效的地市通報表揚。

一是加強(qiáng)師資隊伍建設(shè)。深入貫徹《安徽省人民政府關(guān)于加強(qiáng)教師隊伍建設(shè)的意見》等文件精神,通過“以賽促教”、教學(xué)評比、掛職鍛煉等方式,不斷提升職業(yè)教師隊伍質(zhì)量。大力實施人才強(qiáng)校戰(zhàn)略,加強(qiáng)技能型緊缺人才專業(yè)教師的儲備,開展“雙師型”教師認(rèn)定工作,推動“雙師型”人才培訓(xùn)和引進(jìn)。與編制、人社、財政等部門,聯(lián)合出臺了《蚌埠市職業(yè)學(xué)校兼職教師管理辦法》,通過引進(jìn)、外聘等方式,從企業(yè)、科研部門、院校,吸納儲備專職、兼職專業(yè)技術(shù)教師擴(kuò)充到職業(yè)教育隊伍中

3、問題設(shè)計:文化除了影響人們的交往行為和交往方式外,還影響人們的什么?4、師生總結(jié)得出結(jié)論:文化影響人們的實踐活動、認(rèn)識活動和思維方式。設(shè)計意圖:通過主題的指引,讓學(xué)生查閱并說說中國傳統(tǒng)節(jié)日的來源、傳說和意義。這是基于豐富課程資源的設(shè)計,將生活和學(xué)習(xí)領(lǐng)域的多種資源納入課程的范疇,在活動中自主建構(gòu)知識,并在教師的引導(dǎo)下,提高分析和解決問題能力,培養(yǎng)熱愛祖國的思想感情,突破本框題第二個重點。過渡設(shè)問:文化對人影響有什么特點?設(shè)計意圖:通過問題提示,集中學(xué)生的注意力,導(dǎo)入下一個環(huán)節(jié)的教學(xué)。環(huán)節(jié)三:文化對人潛移默化的影響。教案:1、多媒體播放“孟母三遷”故事動畫片。2、討論問題:“孟母三遷”的故事給我們什么啟示?3、師生總結(jié)得出結(jié)論:文化對人具有潛移默化的影響。設(shè)計意圖:“孟母三遷”的故事學(xué)生比較熟悉,而且這個故事的思想教育性較強(qiáng)。

2、學(xué)生分析 九十年代初期出生的孩子,生活在一個充滿活力的時代,張揚個性成為他(她)們的主旋律。面對這一時代的學(xué)生,溝通需要用心、用技巧,那也是一門藝術(shù)。高中學(xué)生的心理日趨成熟,有一定的知識積累,且比較豐富;語言邏輯性強(qiáng),有較強(qiáng)的參與意識,求知欲望及表現(xiàn)欲望。學(xué)生主體參與的充分,表現(xiàn)在其主動性,積極性得到極大的調(diào)動。這與教師的主導(dǎo)作用是分不開的。本課教案就是要引導(dǎo)學(xué)生自己先閱讀書本、獨立思考、激發(fā)學(xué)生思維,引導(dǎo)學(xué)生各抒己見,讓學(xué)生自己得出解答問題的結(jié)論,不追求答案的唯一。充分體現(xiàn)了讀書是一種個體行為,每個學(xué)生有不同的體驗。教師應(yīng)跳出教案的問題模式,和學(xué)生一道去創(chuàng)造地發(fā)現(xiàn)問題、分析問題、解決問題,在成功中尋找快樂、在快樂中更加成功。同時特別注重創(chuàng)設(shè)的情景的選擇性,有針對性和實效性,引導(dǎo)學(xué)生們積極、主動參與,使他們的潛能、智慧得出充分挖掘、展示。只有當(dāng)學(xué)生們在課堂上表現(xiàn)出來的獨特的、有創(chuàng)意的設(shè)計見解,學(xué)生主體參與和教師主導(dǎo)二者完美結(jié)合,才能表明該課的設(shè)計卓有成效。

2、教學(xué)目標(biāo)根據(jù)我對教材的理解、結(jié)合學(xué)生的實際情況、滲透新課程的教學(xué)理念,為提高全體學(xué)生的科學(xué)素養(yǎng),按課程標(biāo)準(zhǔn),以促進(jìn)全體學(xué)生發(fā)展為目的。從知識與技能、過程與方法,情感態(tài)度與價值觀三個方向培養(yǎng)學(xué)生,擬定三個教學(xué)目標(biāo):知識與技能:(1)知道什么是動能。(2)正確理解和運用動能公式分析、解答有關(guān)問題。(3)掌握外力對物體所做的總功的計算,理解“代數(shù)和”的含義。(4)理解和運用動能定理。過程與方法:通過演繹推理過程,培養(yǎng)科學(xué)研究興趣,領(lǐng)略物理學(xué)中所蘊(yùn)含的嚴(yán)謹(jǐn)?shù)倪壿嬯P(guān)系。情感、態(tài)度、價值觀:通過運用動能定理分析解決問題,感受成功的喜悅,培養(yǎng)學(xué)生對科學(xué)研究的興趣。3、教學(xué)的重點和難點重點:理解動能定理、應(yīng)用動能定理解決力學(xué)問題。難點:應(yīng)用動能定理解決多個過程的力學(xué)問題,以及變力做功或曲線運動中的動能定理運用。

情景導(dǎo)入:......運用情景營造氣氛,激發(fā)學(xué)生的求知欲望,幫助學(xué)生聯(lián)系現(xiàn)實問題,學(xué)習(xí)歷史,拉近歷史與現(xiàn)實的距離,引導(dǎo)學(xué)生關(guān)注時政熱點,關(guān)心國家大事。自主學(xué)習(xí):組織學(xué)生閱讀課文,老師參與學(xué)生閱讀活動并板書知識結(jié)構(gòu)。通過學(xué)生自主學(xué)習(xí),培養(yǎng)學(xué)生自學(xué)能力,為進(jìn)一步好好學(xué)習(xí)打下基礎(chǔ)。交流學(xué)習(xí):學(xué)生自學(xué)以后,老師引導(dǎo)學(xué)生相互交流自學(xué)成果,學(xué)生自主提出問題,相互解答,從而達(dá)到生生互動、師生互動,在互動中學(xué)習(xí),共同提高

1、教材分析 本課選自普通高中課程標(biāo)準(zhǔn)實驗教材,人民教育出版社歷史必修(1),第六單元:現(xiàn)代中國的政治建設(shè)與祖國統(tǒng)一,第22課——祖國統(tǒng)一大業(yè)。祖國統(tǒng)一始終是中國人民的共同夙愿。本課內(nèi)容主要敘述了“一國兩制”的偉大構(gòu)想,為完成祖國統(tǒng)一大業(yè)提出了一個創(chuàng)造性的指導(dǎo)方針。香港、澳門的回歸,是“一國兩制” 偉大構(gòu)想的成功實踐。在“一國兩制”方針指導(dǎo)下,海峽兩岸實現(xiàn)了一次歷史性的突破。揭示了“一國兩制” 的構(gòu)想,對推動完成祖國完全統(tǒng)一大業(yè),實現(xiàn)中華民族偉大復(fù)興具有現(xiàn)實指導(dǎo)意義。 2、學(xué)情分析通過調(diào)查知道,學(xué)生對本節(jié)的基本史實有一定了解。但是,高一新生習(xí)慣于知識的記憶和教師的講解,不能深入分析歷史現(xiàn)象的內(nèi)涵和外延;不能進(jìn)一步探究事物的因果關(guān)系和理解事物的本質(zhì);并且需要進(jìn)一步拓展思維的廣度和深度,實現(xiàn)從一維目標(biāo)到三維目標(biāo)的飛躍。

(2)l的傾斜角為90°,即l平行于y軸,所以m+1=2m,得m=1.延伸探究1 本例條件不變,試求直線l的傾斜角為銳角時實數(shù)m的取值范圍.解:由題意知(m"-" 1"-" 1)/(m+1"-" 2m)>0,解得1<m<2.延伸探究2 若將本例中的“N(2m,1)”改為“N(3m,2m)”,其他條件不變,結(jié)果如何?解:(1)由題意知(m"-" 1"-" 2m)/(m+1"-" 3m)=1,解得m=2.(2)由題意知m+1=3m,解得m=1/2.直線斜率的計算方法(1)判斷兩點的橫坐標(biāo)是否相等,若相等,則直線的斜率不存在.(2)若兩點的橫坐標(biāo)不相等,則可以用斜率公式k=(y_2 "-" y_1)/(x_2 "-" x_1 )(其中x1≠x2)進(jìn)行計算.金題典例 光線從點A(2,1)射到y(tǒng)軸上的點Q,經(jīng)y軸反射后過點B(4,3),試求點Q的坐標(biāo)及入射光線的斜率.解:(方法1)設(shè)Q(0,y),則由題意得kQA=-kQB.∵kQA=(1"-" y)/2,kQB=(3"-" y)/4,∴(1"-" y)/2=-(3"-" y)/4.解得y=5/3,即點Q的坐標(biāo)為 0,5/3 ,∴k入=kQA=(1"-" y)/2=-1/3.(方法2)設(shè)Q(0,y),如圖,點B(4,3)關(guān)于y軸的對稱點為B'(-4,3), kAB'=(1"-" 3)/(2+4)=-1/3,由題意得,A、Q、B'三點共線.從而入射光線的斜率為kAQ=kAB'=-1/3.所以,有(1"-" y)/2=(1"-" 3)/(2+4),解得y=5/3,點Q的坐標(biāo)為(0,5/3).
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