(二)組織學(xué)生探究知識并形成新的知識。我從學(xué)生的生活體驗入手,運用案例等形式創(chuàng)設(shè)情境呈現(xiàn)問題,使學(xué)生在自主探索、合作交流的過程中,發(fā)現(xiàn)問題、分析問題、解決問題,在問題的分析與解決中主動構(gòu)建知識。主要通過幾幅漫畫讓學(xué)生思考其中的哲學(xué)道理,開始接觸哲學(xué)。漫畫一:種瓜得瓜,種豆得豆,種雞蛋得??漫畫二:甲:下雨好極啦!乙:下雨糟透了!漫畫三:——狂妄之徒,你竟然壞了祖上規(guī)矩!在引導(dǎo)學(xué)生思考、體驗問題的過程中,可以使學(xué)生逐步學(xué)會分析、解決問題的方法。這樣做既有利于發(fā)展學(xué)生的理解、分析、概括、想象等創(chuàng)新思維能力,又有利于學(xué)生表達(dá)、動手、協(xié)作等實踐能力的提高,促進學(xué)生全面發(fā)展,力求實現(xiàn)教學(xué)過程與教學(xué)結(jié)果并重,知識與能力并重的目標(biāo)。
2. let the Ss complete the forms paragraph by paragraph. Purpose here is to help Ss to get the habit of reading a passage as a whole, and pay attention to the organization of the text, as a result the Ss will fully understand the whole passage.3. ask Ss to retell the passage with the help of the key words in the form.Since the Ss in the class are in different levels, so I let them to fill in the blank to understand the meaning of the words and phrases better. ( That’s all for the while-reading. Now let’s move to the fifth step.)Step V: Post-reading (10mins) ---DiscussionIn this part students are asked to discuss in groups and list Wang Kun’s and Wang Wei’s attitudes about the trip. After that, Ss are encouraged to express their attitudes with the whole class. Collect their answers and don’t forget to praise them even if their answers may not be perfect.In this activity, discussion provides a vivid and active learning environment for Ss to communicate in English with newly learned language items. (Finally it comes to the homework.)StepⅥ: Homework (1min)1. Ss are required to read the text again after class and figure out the meaning of some complex sentences.2. Do the exercises on P19; This can help Ss to consolidate what they’ve learnt and make preparation for the next lessonPart4. Blackboard design.(說板書設(shè)計)On the top, there is the title of this lesson. On the left, there are main ideas for each paragraph. On the right, there are some new words and expressions.Unit 3 Travel journalJourney down the MekongMain idea of each para.:Para1: deciding to take a great bike trip along the Mekong river.Para2: Different attitudes between Wang kun and Wang wei.
Step 7 Language points 1.Vocabulary (1) go through (2) set down (3) a series of (4) on purpose (5) in order to (6)at dusk (7)entirely (8)face to face 2.Important sentences (1)…I’ve grown so crazy about everything to do with nature. (2)There was a time when … (3)I stayed awake on purpose until … (4)It was the first time … that I’d seen the night … (5)It’s no pleasure looking through … Purpose: 1.Master the required vocabulary and sentence structures. 2.Use them freely. Step 8 Consolidation 1.Find out the topic sentences 2.Retell the text according to the topic sentences Purpose: I want to know if my students understand the text. Step 9 Discussion Imagine you have to go into hiding like Anne and her family, what would you miss most? Giveyour reasons. Purpose: Train Ss’ oral English ability. Step 10 Homework Write an article on Friends. Purpose: 1. Improve the Ss’ writing ability. 2 Train the Ss’ ability of self—teaching and looking up information by themselves. Part 5 Blackboard design(說板書設(shè)計)Unit 1 Friendship Reading Anne’s Best Friend 1.Main idea of each paragraph: Para. 1 Anne made her diary her best friend. Para .2 Anne wrote her feelings in her diary. Para .3 Anne missed nature. Para.4 Anne saw the night face to face Para.5 Anne wanted to experience nature outdoors. 2.Listening: Exx.1 P3 3.Discussion: Exx.3 P3 Purpose: 1.Make Ss familiar with the passage 2.Make the design inductive, instructive and artistic.
(3)v. 給:提出;展現(xiàn),顯現(xiàn)present sb. with sth. ; present sth. to sb. 把. . 交給;頒發(fā);授予present sth. (for sth. )/present sth. to sb. e. g. Om his birthday, his friends presented him a collection of stamps. 在他生日時,他的朋友們送給他一套郵票作為禮物。The sword was presented by the family to the museum. 這家人把寶劍捐贈給了博物館。The committee will present the final report to Parliament in June. 委員會將在六月向議會提交最后的報告。You need to present yourself better. 你需要更善于展現(xiàn)自己。It is essential that we present a united front. 至關(guān)重要的是我們要表現(xiàn)得更加團結(jié)。Step 4 ConsolidationT:Now that we have got a general idea of these words and phrases. Lets make up some sentences using them to master them. Suggested sentences:1. Your duties include typing letters and answering the telephone. 2. It is one of the greatest roles that she has played. 3. A large number of people have applied for the job. 4. The number of the panda is declining. 5. I'11 go there, even if I have to walk. 6. He came up to me to ask for a light. 7. The novel is about a family who can't communicate with each other. 8. He based his plan on interests of most people. 9. Why doesn't he make use of his singing talent?Step 5 Summary and homeworkT:Today we dealt with several new words and phrases. After class I hope that youcan read them again and again to keep them in mind. That's all for today. You aredismissed.
In this step, give students a few minutes to read the passage . While they are reading, I will write some key words of the text on the blackboard. Then ask students to retell the passage according to the key words.By retelling, students can improve their ability of language organization and have an overall understanding of the article.Step 4 Group discussionIn this step, students will be divided into groups of 4 to discussion the following question: What qualities make a great person?After their discussion, invite a few groups to make a report to the class.This group discussion can practice students’ oral English and cultivate their abilities of cooperation and communication.Step 5. HomeworkLet students write a short passage to introduce a great person he or she admires.The homework can consolidate the knowledge the students have learned and cultivate their writing ability. Part 6 Blackboard Design(板書設(shè)計)That’s all my teaching procedures. Finally, I’d like to say sth about part 6 blackboard design. On the top is the title. On the left, there will be some new words and expressions. In the middle of the blackboard, I will write some useful sentence structures so that the students can know clearly what they’ve learned and then try to master the knowledge.OK. That’s all for my presentation. Thank you for your attention.
1)他們在初中的生物學(xué)學(xué)習(xí)中已具備了一定的關(guān)于光合作用的基礎(chǔ)知識,也做過“綠葉在光下制造淀粉”這個實驗。2)他們具備物質(zhì)轉(zhuǎn)變和能量變化等相關(guān)的化學(xué)知識。3)在前面的《降低化學(xué)反應(yīng)活化能的酶》一節(jié)的學(xué)習(xí)中已經(jīng)學(xué)習(xí)過簡單的對照實驗和相關(guān)的實驗設(shè)計原則,使本節(jié)課最后的實驗設(shè)計得以順利進行。4)他們具有一定的 分析問題的能力,實施問題探究教學(xué)是可行的。三、教法和學(xué)法根據(jù)上述對教材和學(xué)生的分析,本節(jié)采用以下教法和學(xué)法:1)實驗法:以實驗說明結(jié)論。生物學(xué)的教學(xué)就是實驗的教學(xué)過程,實驗的展示形式有學(xué)生分組實驗、老師示范實驗、動畫和圖片演示實驗等,讓實驗現(xiàn)象說明問題,而不是直接讓學(xué)生記住結(jié)論。2)問題探究教學(xué)發(fā):以問題引發(fā)興趣。整個教學(xué)過程要設(shè)置好問題,層層展開,層層遞進,讓新知識與舊知識融為一個整體,讓學(xué)生在步步上升中攀登到知識的頂峰。3)比較學(xué)習(xí)法,同時采用多媒體輔助教學(xué),解決光合作用抽象的過程。
1. 表示時間。Hearing these stories, I’m skeptical about the place. = When I heard these stories. . . 2. 表示原因。Not knowing his address, I can’t send this book to him. = Because/Since/As I don’t know his address. . . 3. 表示結(jié)果。His father died, leaving him a lot of money. =. . . and left him a lot of money4. 表示條件。Going straight down the road, you will find the department store. = If you go straight down the road. . . 5. 表示讓步。Being tired, they went on working. =Although they were tired. . . 6. 表示行為方式、伴隨情況或補充說明。He lay on the grass, staring at the sky for a long time. =. . . and stared at the sky for a long time注意:非謂語動詞作狀語時, 如所提供的動詞不能和句子中的主語保持一致, 動詞-ing形式必須有自己的邏輯主語, 通常由名詞或代詞來擔(dān)任, 這就是獨立主格結(jié)構(gòu)。The last bus having gone, we had to walk home. (having gone的邏輯主語是the last bus, 而不是we)Weather permitting, the football match will be played on Friday. (permitting的邏輯主語是time, 而不是the football match)Step 7 Practice1. ________(study) hard, you are sure to get first prize. 2. People use plastic in their daily life, _______(leave) large amounts of waste. 3. ________(work) hard at your lessons, you are to succeed. 4. The old man, ____________(work) abroad for twenty years, is on the way back to his motherland. 5. ______________(finish) his homework, he was playing on the playground. Answers: 1. Studying 2. leaving 3. Working 4.having worked 5. Having finishedStep 8 HomeworkFinish the homework on Page 22.
Example:One day, a poor boy who was trying to pay his way through school by sending newspapers door to door found that he only had one dime(一角)left. He was so hungry that he decided to beg for a meal at the next house.However, he lost his nerve when a lovely young woman opened the door. Instead of a meal he asked for a drink of water. She thought he looked hungry so she brought him a large glass of milk. He drank it slowly, and then asked, “How much do I owe you?” “You don’t owe me anything,” she replied, “Mother has taught me never to accept pay for a kindness.” “Then I thank you from the bottom of my heart.” With these words, Howard Kelly left that house.Years later the woman became badly ill and was finally sent to the hospital in a big city. Dr. Howard Kelly, now famous, was called in. When he heard the name of the town she came from, a strange light filled his eyes. Dressed in his doctor’s clothes, Dr. Kelly went into her room and recognized her at once. From that day on, he gave special attention to her, and decided to do his best to save her life.At last the woman was saved. Dr. Kelly asked the business office to pass the final bill to him. He looked at it and then wrote something on the side. The bill was sent to the woman’s room. She was afraid to open it because she was sure that it would take the rest of her life to pay for it off. Finally she looked, and the note on the side of the bill caught her attention. She read these words: “Paid in full with a glass of milk, Dr. Howard Kelly.” Tear of joy flooded her eyes.
The topic of this part is “Learn to make choices in life”.The Listening & Speaking & Talking part aims at the moral dilemmas, and this part is about making choices in life. The heroin is Lin Qiaozhi, a famous medical scientist, made a great contribution to our country’s medical care. Most importantly, her life experience can inspire our students whether in studying or the development of career. she had moral dilemmas and life choices, which are similar to the students who will step into society. Besides, Lin has quite good virtues like kindness, self-improvement, insistence, job-loving , generosity and responsibility, which is worth being learned.Concretely, this article is a biography about Lin Qiaozhi. The article tells her whole life according the timeline, among which the life choices is emphasized. For example, whether married or chased her dream, returned home or stayed abroad, family or public, her choices all reflected her faith, spirit, responsibility and devotion.1. Fast reading to get the detailed information about Lin Qiaozhi; careful reading to do the deductive information.2. Learn the reading skills--deductive judgement according the context.3. Study the structure features and language features. 4. Communicate about Lin’s life choices and reflect their own life choices.1. Learn the reading skills--deductive judgement according the context.2. Study the structure features and language features.3. Communicate about Lin’s life choices and reflect their own life choices.Step 1 Lead in---Small talkWhat are some important life choices?Importance choices: university study, jobs and marriage partners. Because they can determine our future.
1. 這個寓言是一個關(guān)于一位國王古寓言。 The fable is an old fable about a king.2.作者用這個故事讓讀者對于社區(qū)的問題負(fù)有個人責(zé)任的必要印象深刻。The author used the story to impress upon readers with the need to take personal responsibility for problems in the community.3. 這個故事十分成功的實現(xiàn)了它的目的。The story was quite successful in achieving its purpose.Step 7 WritingPlease write a review of the story according the outline above.The fable is an old fable about a king who thought his people are lazy, so he put a large stone in the middle of the road and hides and waited to see if anyone will try to move it.The author used this story to impress upon readers with the need to take personal responsibility for problems in the community. The story was quite successful in achieving its purpose, and I liked it because it had a clear moral.However, while the moral of the story is clear, the actions of the king seemed pointless to me, because none of the characters in the story learnt anything. For this reason, I think there are better stories that can be used to impress upon people with the need for personal responsibility.Step 8 Pair workExchange drafts with a partner. Use this checklist to help your partner revise his/her draft.1. Does the writer give a short description of the story ?2. Does the description include the most important details of the story ?3. Does the writer give his or her opinion about the character or their actions ?4. Is the review well-organised ? 5. Does the writer use the -ing form as the adverbial correctly in the writing ?6. Are there any grammar, spelling, or punctuation errors ?Step 9 HomeworkPut up your revised draft in the classroom or read it to your class.
教學(xué)過程:(一)導(dǎo)入:課前放《愛的奉獻(xiàn)》歌曲,同時不斷播放一些有關(guān)“愛”的主題的圖片,渲染一種情感氛圍。師說:同學(xué)們,誰能說說這組圖片的主題應(yīng)該是什么?生(七嘴八舌):母愛,不對是親情……是友情、還有人與人互相幫助……那組軍人圖片是說保衛(wèi)國家,應(yīng)該是愛國……那徐本禹和感動中國呢?…………生答:是關(guān)于愛的方面師說:不錯,是關(guān)于愛的方面。那么同學(xué)們,今天就以“愛的奉獻(xiàn)”為話題,來寫一篇議論文如何?生答:老師,還是寫記敘文吧。生答:就是,要不議論文寫出來也象記敘文。師問:為什么?生答:老師,這個話題太有話說了,一舉例子就收不住了,怎么看怎么象記敘文。生答:就是,再用一點形容詞,就更象了。眾人樂。師說:那么同學(xué)們誰能告訴我,為什么會出現(xiàn)這種問題?一生小聲說:還不是我們笨,不會寫。師說:不是笨,也不是不會寫,你們想為什么記敘文就會寫,一到議論文就不會了,那是因為同學(xué)們沒有明白議論文中的記敘與記敘文中的記敘有什么不同,所以一寫起議論文中的記敘,還是按照記敘文的寫法寫作,這自然就不行了。那好,今天我們就從如何寫議論文中的記敘講起。
環(huán)節(jié)三案例分析突出難點這一環(huán)節(jié),我將用多媒體展示我國反腐行動,將一個個貪污腐敗者給予法律制裁的案例和東突分子分裂活動的例子,來得出我國專政的職能。這些例子具有典型性和時效性,能讓學(xué)生容易從例子中得出知識點,引導(dǎo)學(xué)生理解我國的專政是對極少數(shù)敵人實行的專政。并通過《反分裂法》的制定,讓學(xué)生討論為什么我國既要實行民主職能又實行專政職能,以此來分析民主與專政的關(guān)系(區(qū)別和聯(lián)系)。培養(yǎng)學(xué)生獲取信息的能力,自主學(xué)習(xí)的能力以及全面看問題的能力,再結(jié)合教師的講授,給學(xué)生一種茅塞頓開的感覺。環(huán)節(jié)四 情景回歸 情感升華這一環(huán)節(jié),我將設(shè)置分組討論,讓學(xué)生們分別從人民民主專政的重要地位、“民主”與“專政”這兩項職能、改革開放的歷史條件下新時期內(nèi)容三個方面來分析為什么堅持人民民主是正義的事,討論后每組派出代表來發(fā)表各自組的結(jié)論,得出我國要堅持人民民主專政。通過小組討論,使學(xué)生學(xué)會在合作中學(xué)習(xí),提高學(xué)生的語言表達(dá)和思維能力。
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課外作業(yè),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(dá)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(dá)到知、情、意、行的統(tǒng)一。
(二)能力目標(biāo)培養(yǎng)學(xué)生運用哲學(xué)理論觀察、分析、處理社會問題的能力,增強學(xué)生的時代感。(三)情感、態(tài)度與價值觀目標(biāo)培養(yǎng)學(xué)生與時俱進的思想品質(zhì),讓學(xué)生關(guān)注時代、關(guān)注現(xiàn)實、關(guān)注生活,逐步樹立科學(xué)的世界觀、人生觀、價值觀。三、說教學(xué)重難點:時代精神的總結(jié)和升華是本框的難點,雖然學(xué)生在文化生活中學(xué)習(xí)了文化與經(jīng)濟政治的關(guān)系,但要讓學(xué)生得出哲學(xué)是時代精神的總結(jié)和升華,還要聯(lián)系前面關(guān)于哲學(xué)的基礎(chǔ)知識進行總結(jié)歸納,因此可能會難以把握,另外關(guān)于什么樣的哲學(xué)是真正的哲學(xué)的理解會稍有難度。社會變革的先導(dǎo)是本框的重點,一方面哲學(xué)源于時代,另一方面強調(diào)哲學(xué)反過來對時代又有重要的反作用,突出這一點能夠更好地激發(fā)學(xué)生學(xué)習(xí)哲學(xué)的熱情和信心,對于后面知識的學(xué)習(xí)是極為有益的,因此社會變革的先導(dǎo)這一目作重點處理。
一、教材分析下面我來談一談對教材的認(rèn)識:主要從教材的地位和作用、以及在此基礎(chǔ)上確立的教學(xué)目標(biāo)、教學(xué)重難點這三個方面來談。首先,來談教材的地位和作用:本課教材內(nèi)容主要從三個方面向?qū)W生介紹了現(xiàn)代中國教育的發(fā)展?fàn)顩r和趨勢:人民教育的奠基、動亂中的教育和教育的復(fù)興,全面講述了新中國教育的三個階段。本課是文化史中中國史部分的最后一課, 也是必修三冊書中唯一涉及教育的一課。而教育是思想文化史中的重要組成部分,江澤民同志在談到教育的時候曾經(jīng)說過,“百年大計,教育為本。教育為本,在于育人”。教育是關(guān)系國計民生的大事。學(xué)生通過學(xué)習(xí)新中國教育發(fā)展的史實,理解“科教興國”、“國運興衰,系于教育”的深刻含義。最終由此激發(fā)學(xué)生樹立“知識改變命運、讀書成就人生”的信念,樹立勤奮學(xué)習(xí)、成人成才、報效祖國、服務(wù)社會的崇高理想。故本課的教學(xué)有極大的現(xiàn)實意義。談完了教材的地位和作用,我再分析一下教學(xué)目標(biāo):
環(huán)節(jié)三:多媒體繼續(xù)展示石窟藝術(shù)、民族文學(xué)等,學(xué)生在感受少數(shù)民族文化成就的過程中不難得出結(jié)論:各民族文化都為中華文化作出了重要貢獻(xiàn),都是中華民族的驕傲。由此進入第三目“中華之瑰寶,民族之驕傲”。各族人民對中華文化的認(rèn)同感和歸屬感,顯示了中華民族厚重的文化底蘊和強大的民族凝聚力。環(huán)節(jié)四:合作探究中華文化博大精深的原因。學(xué)生調(diào)動已有歷史知識儲備和課前搜集的材料分組交流:歷史上在思想文化方面,對諸家學(xué)說所采取的兼收并蓄的學(xué)術(shù)主張;中國文化長期吸收周邊少數(shù)民族的哪些優(yōu)秀文明;在對待外域文化上,中華民族是否敞開博大胸懷揚棄吸收。2、從現(xiàn)代找出能充分體現(xiàn)中華民族的文化開放心態(tài)和中華文化非凡融合力的例子。這樣可增添幾分時代氣息,更好地服務(wù)于當(dāng)下實踐。
一、說教材(一)、教材內(nèi)容《古代中國的發(fā)明和發(fā)現(xiàn)》是人教版高中歷史必修三第三單元第一課內(nèi)容,本課教材主要從五個方面的典型事例向?qū)W生介紹了古代中國幾千年的科技成就。本課一方面展示了古代中國人民的勤勞智慧以及對世界文明發(fā)展作出的巨大貢獻(xiàn),另一方面也提出了一個重大問題引起學(xué)生的思考,即造成中國科技在近代落后的原因是什么。此外、本課在教材中具有承上啟下的地位和作用,前承中國傳統(tǒng)文化主流思想,后啟現(xiàn)代中國科學(xué)技術(shù)的發(fā)展。根據(jù)課標(biāo)要求和教材內(nèi)容,我將本課的三維目標(biāo)確定如下:(三)教學(xué)目標(biāo)(1)知識與能力:掌握中國古代科技進步的基礎(chǔ)知識,特別是四大發(fā)明。認(rèn)識古代中國四大發(fā)明對世界文明發(fā)展的貢獻(xiàn),以及取得重大成就的原因。⑵過程與方法:通過指導(dǎo)學(xué)生課前閱讀課本,在課堂上進行問題探究、實驗體驗以及歷史比較,學(xué)會總結(jié)歸納。
(4)自強不息 (引導(dǎo)學(xué)生簡要了解介紹 “大禹治水”“ 愚公移山”“ 夸父追日”“ 富貴不能淫”等典故名言,注重從優(yōu)秀傳統(tǒng)文化和中華民族精神之間的關(guān)系角度總結(jié)。)三、永遠(yuǎn)高揚的愛國主義旗幟這一目講述中華民族精神的核心,新時期愛國主義的主題?!咎骄咳浚?、團結(jié)統(tǒng)一、愛好和平、勤勞勇敢、自強不息共同體現(xiàn)著一個什么主題?2、你知道哪些我國抒發(fā)愛國情懷的詩詞格言警句?哪些歷史故事或者你身邊的事例體現(xiàn)出了愛國主義的精神追求?你認(rèn)為新時期我國愛國主義主要體現(xiàn)在哪些方面?學(xué)生四人一個小組討論,選派代表發(fā)言【師生總結(jié)】:1、愛國主義是中華民族精神的核心,是中華民族的精神支柱。2、新時期愛國主義的主題:愛國主義是具體的,不同時期有不同的內(nèi)涵,新時期愛國與愛社會主義本質(zhì)上是一致的,發(fā)展中國特色社會主義,擁護祖國統(tǒng)一是新時期愛國主義的主題。
4.已知△ABC三個頂點坐標(biāo)A(-1,3),B(-3,0),C(1,2),求△ABC的面積S.【解析】由直線方程的兩點式得直線BC的方程為 = ,即x-2y+3=0,由兩點間距離公式得|BC|= ,點A到BC的距離為d,即為BC邊上的高,d= ,所以S= |BC|·d= ×2 × =4,即△ABC的面積為4.5.已知直線l經(jīng)過點P(0,2),且A(1,1),B(-3,1)兩點到直線l的距離相等,求直線l的方程.解:(方法一)∵點A(1,1)與B(-3,1)到y(tǒng)軸的距離不相等,∴直線l的斜率存在,設(shè)為k.又直線l在y軸上的截距為2,則直線l的方程為y=kx+2,即kx-y+2=0.由點A(1,1)與B(-3,1)到直線l的距離相等,∴直線l的方程是y=2或x-y+2=0.得("|" k"-" 1+2"|" )/√(k^2+1)=("|-" 3k"-" 1+2"|" )/√(k^2+1),解得k=0或k=1.(方法二)當(dāng)直線l過線段AB的中點時,A,B兩點到直線l的距離相等.∵AB的中點是(-1,1),又直線l過點P(0,2),∴直線l的方程是x-y+2=0.當(dāng)直線l∥AB時,A,B兩點到直線l的距離相等.∵直線AB的斜率為0,∴直線l的斜率為0,∴直線l的方程為y=2.綜上所述,滿足條件的直線l的方程是x-y+2=0或y=2.
一、情境導(dǎo)學(xué)在一條筆直的公路同側(cè)有兩個大型小區(qū),現(xiàn)在計劃在公路上某處建一個公交站點C,以方便居住在兩個小區(qū)住戶的出行.如何選址能使站點到兩個小區(qū)的距離之和最小?二、探究新知問題1.在數(shù)軸上已知兩點A、B,如何求A、B兩點間的距離?提示:|AB|=|xA-xB|.問題2:在平面直角坐標(biāo)系中能否利用數(shù)軸上兩點間的距離求出任意兩點間距離?探究.當(dāng)x1≠x2,y1≠y2時,|P1P2|=?請簡單說明理由.提示:可以,構(gòu)造直角三角形利用勾股定理求解.答案:如圖,在Rt △P1QP2中,|P1P2|2=|P1Q|2+|QP2|2,所以|P1P2|=?x2-x1?2+?y2-y1?2.即兩點P1(x1,y1),P2(x2,y2)間的距離|P1P2|=?x2-x1?2+?y2-y1?2.你還能用其它方法證明這個公式嗎?2.兩點間距離公式的理解(1)此公式與兩點的先后順序無關(guān),也就是說公式也可寫成|P1P2|=?x2-x1?2+?y2-y1?2.(2)當(dāng)直線P1P2平行于x軸時,|P1P2|=|x2-x1|.當(dāng)直線P1P2平行于y軸時,|P1P2|=|y2-y1|.