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新人教版高中英語必修2Unit 3 The Internet-Reading and Thinking教案一
Paragraph 3. Jan decided to start an IT club to teach old people how to use computers and the Internet. Paragraph 4. Jan has started taking online classes to learn more about how to use the Internet to make society better. Paragraph 5. Jan’s life has been greatly improved by the Internet. Step 5: Critical thinking:(1)How do you arrange your time spent on study and the Internet? Is it reasonable? I usually surf the Internet using my mobile phone for only an hour after class, and it is reasonable for me.(2)What are your online activities? Are they safe? I chat with my friends, read news and play games. I never give away my private information so I think they are safe.Step 4: summary Much has been written about the wonders of the World Wide Web. There are countless articles (1)______(tell) us how the Internet has made our lives more convenient. But the Internet has done a lot (2)_____(much) for people than simply make life more convenient. People’s lives (3) _________________(change) by online communities and social networks so far. Take Jan for example, who developed a serious illness that made her (4)_____(stick) at home with only her computer to keep (5)___(she) company. She joined an online group (6)______ she could share problems, support and advice with others. She considered the ability to remove the distance between people as one of the greatest (7)_______(benefit). She was so inspired (8)____ she started an IT club in which many people have been helped. She has started to learn more about how to use the Internet to make society better. Her next goal is to start a charity website to raise money (9)___ children in poor countries. Jan’s life has been (10)______(great) improved by the Internet. Step 5 Homework:Review what we have learned and find out the key language points in the text.
新人教版高中英語必修2Unit 4 History and Traditions-Listening＆Speaking＆Talking教案一
This unit is about history and traditions. From the opening page, we can know that this unit will introduce the history and traditions around the world. As Marcus Garvey says “A people without the knowledge of their past history, origin and culture is like a tree without roots”, it is important for students to realize the importance and value of knowing the history and traditions and their further meanings. And this part ( listening and speaking ) is divided into two parts: Part A---share views on historic sites, Part B ---talk about a visit to a historic tourist destination. By talking with a foreigner, the speakers introduce the historic attractions and their cultures. Part A is that William, a British student, who was going to visit the Confucius Temple and a Chinese student, Xiao Kong, who was going to the Confucius Temple to meet with the members of the research group, went together and exchanged their views on the Confucius Temple, Confucius, Confucius' descendants and Confucius' educational thoughts. Part B is a conversation between Xiao Yan, a youth hostel receptionist and Paul, a backpacker about the feelings and experience after visiting the Chinese famous tourist attraction Pingyao.1. Guide students to understand the content of listening texts in terms of the whole and key details; 2. Cultivate students' ability to guess the meaning of words in listening; discuss with their peers how to talk about historic spots and great person.3. Instruct students to use functional sentences of showing one’s excitement, surprise and disappointment.1. Guide students to understand the content of listening texts in terms of the whole and key details; 2. Cultivate students' ability to discuss with their peers the related topics.3. Enable students to use the functional items of showing one’s excitement, surprise and disappointment.
新人教版高中英語必修2Unit 3 The Internet-Reading For Writing教案一
⑦identity theft 身份盜竊⑧chat room 聊天室⑨draft your blog post 起草博客帖子⑩post embarrassing photos 張貼尷尬照片 【話題句式】 1. How do you stay safe online and avoid bad experiences on the Internet? 你如何在網(wǎng)上保持安全, 避免在網(wǎng)上的不良經(jīng)歷? 2. I’m not an expert, but many years as a blogger have taught me a thing or two. 我不是專家, 但作為一個博主, 我已經(jīng)學(xué)了好幾年了。 3. If you see or read something that makes you feel uncomfortable, leave the site immediately. 如果你看到或讀到一些讓你覺得不舒服的東西, 立即離開這個網(wǎng)站。4. Don’t give out your address or phone number. 別告訴別人你的地址或電話號碼。 5. Identity theft is a common and serious problem. 身份盜竊是一個常見而嚴(yán)重的問題。6. Being online is no excuse for being rude, and you don’t want to become a target for a troll or cyberbully. 上網(wǎng)并不是無禮的借口, 你也不想成為發(fā)挑釁帖子的人或網(wǎng)絡(luò)惡霸的目標(biāo)。 7. Trolls often use several false names so that they can stay on a site. 發(fā)挑釁帖子的人經(jīng)常使用幾個假名, 這樣他們就可以留在一個網(wǎng)站上。8. However, the more polite you are, the less likely it is you will be attacked. 然而, 你越有禮貌, 你被攻擊的可能性就越小。
新人教版高中英語必修2Unit 4 History and Traditions-Reading and Thinking教案一
Features of languages1．Finally, in the 20th century, the southern part of Ireland broke away from the UK, which resulted in the full name we have today: the United Kingdom of Great Britain and Northern Ireland．該句是一個復(fù)合句。該句主句為：the southern part of Ireland broke away from the UK；which resulted in the full name we have today為which引導(dǎo)的定語從句代指前面整句話的內(nèi)容，we have today為定語從句修飾先行詞name。譯文：最后，在20世紀(jì)，愛爾蘭南部脫離英國，這導(dǎo)致了我們今天有的英國的全名：大不列顛及北愛爾蘭聯(lián)合王國。2．Almost everywhere you go in the UK, you will be surrounded by evidence of four different groups of people who took over at different times throughout history．該句是一個復(fù)合句。該句主句為：you will be surrounded by evidence of four different groups of people；其中Almost everywhere you go in the UK為讓步狀語從句； who took over at different times throughout history為定語從句修飾先行詞people。譯文：幾乎無論你走到英國的任何地方，你都會發(fā)現(xiàn)歷史上有四種不同的人在不同的時期統(tǒng)治過英國。3．The capital city London is a great place to start, as it is an ancient port city that has a history dating all the way back to Roman times．該句是一個復(fù)合句。該句主句為：The capital city London is a great place to start; as it is an ancient port city that has a history dating all the way back to Roman times．為原因狀語從句；dating all the way back to Roman times為現(xiàn)在分詞短語作定語修飾history。
新人教版高中英語必修2Unit 5 Music-Discovering Useful Structures教案一
Step1:自主探究。1．(教材P52)Born(bear) in the USA on 2 January 1970, Whitacre began studying music at the University of Nevada in 1988．2．(教材P52) Moved(move) by this music, he said, “It was like seeing color for the first time．”3．(教材P56)I was very afraid and I felt so alone and discouraged(discourage)．4．(教材P58)Encouraged(encourage) by this first performance and the positive reaction of the audience, I have continued to play the piano and enjoy it more every day．Step2:語法要點精析。用法1：過去分詞作表語1）．過去分詞可放在連系動詞be, get, feel, remain, seem, look, become等之后作表語，表示主語所處的狀態(tài)Tom was astonished to see a snake moving across the floor．湯姆很驚訝地看到一條蛇正爬過地板。Finally the baby felt tired of playing with those toys．終于嬰兒厭倦了玩那些玩具。注意：1）.過去分詞作表語時與被動語態(tài)的區(qū)別過去分詞作表語時，強調(diào)主語所處的狀態(tài)；而動詞的被動語態(tài)表示主語是動作的承受者，強調(diào)動作。The library is now closed．(狀態(tài))圖書館現(xiàn)在關(guān)閉了。The cup was broken by my little sister yesterday．(動作)昨天我妹妹把杯子打碎了。2）感覺類及物動詞的現(xiàn)在分詞與過去分詞作表語的區(qū)別過去分詞作表語多表示人自身的感受或事物自身的狀態(tài)，常譯作“感到……的”；現(xiàn)在分詞多表示事物具有的特性，常譯作“令人……的”。
新人教版高中英語必修2Unit 5 Music-Reading and Thinking教案一
This section focuses on "learning about experiencing music Online". This virtual choir is a new form of music performance. Members from all over the world don't need to love to come to a place. Instead, they use the new technology to model the various parts and wonderful virtual harmony group of music in the family. Students need to understand the main meaning of each paragraph. Finding topic sentences is an important way to understand the general idea of a paragraph. After the topic sentence, it is usually the detail sentence that supports and explains the topic sentence. Some paragraphs have obvious subject sentences, for example, the first sentence of the second paragraph is the subject sentence of the paragraph, and the following sentenceStudents need to pay attention to the topic sentences and key sentences, and then pay attention to how the sentences after the meaning explain, explain and support the topic sentences or key sentences before.1.Guide students to learn about experiencing music online2.Guide students to scan and circle the information in the text.3.Guide students to find the numbers and dates to fill in the timeline.4.Guide students to learn more about music by completing the sentences with the correct forms of the words and phrases. And then make a mind map about the outline of the passage.1. Guide students to pay attention to reading strategies, such as prediction, self-questioning and scanning.2. Help students sort out the main meaning of each paragraph and understand the narrative characteristics of "timeline” in illustrative style.3. Lead students to understand the changes that have been caused by the Internet.
新人教版高中英語必修2Unit 5 Music-Reading For Writing教案一
(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 ... 因為我們希望全世界各國團(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……(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!
精編開展學(xué)生安全主題教育教案參考范文
交通安全 1. 行走時怎樣注意交通安全 1）在道路上行走，要走人行道，沒有人行道的道路，要靠路邊行走?！ ?）集體外出時，要有組織、有秩序地列隊行走?！ ?）在沒有交通民警指揮的路段，要學(xué)會避讓機動車輛，不與機動車輛爭道搶行?！ ?）穿越馬路時，要遵守交通規(guī)則，做到“綠燈行，紅燈?！??！ ?. 交通安全 ：全國平均每天發(fā)生交通事故 1600 起， 死亡 257 人 ， 受傷 1147 人 ， 直接經(jīng)濟(jì)損失 731 萬。真是令人痛心。提醒學(xué)生們要特別注意交通安全，上放學(xué)時一定要遵守交通規(guī)則，過馬路時要提高警惕，注意來往的車輛。及時消除交通隱患。
人教版新課標(biāo)小學(xué)數(shù)學(xué)二年級下冊用乘除法兩步計算解決問題說課稿
例2是面包房買賣面包的情境。解決問題的重點是學(xué)會使用小括號列綜合算式，并了解小括號的作用。通過學(xué)生熟悉的購買面包的情境，解決“還剩多少個”這個實際問題。仍然可以引導(dǎo)學(xué)生從不同的角度思考問題，啟發(fā)列式為54-8-22或為54-（8+22）。第二種解法的綜合算式，教材中特別強調(diào)“如果寫成一個算式，應(yīng)該使用小括號”，并明確“計算時先算小括號里面的”。因為是初次在列式時需要使用小括號，如果學(xué)生產(chǎn)生疑問，教師可組織學(xué)生通過回顧舊知，利用現(xiàn)實情境，明確使用小括號的必要性及使用方法。教學(xué)例2時可以采用與例1相似的教學(xué)方式。首先讓學(xué)生觀察下頁圖，也可以利用電教媒體創(chuàng)設(shè)情境，由學(xué)生提出問題，并啟發(fā)學(xué)生思考如何解決。讓學(xué)生充分交流研討，暢談自己的想法，然后著重說明解決問題的思路。列式計算時可以先分步列式，同時強調(diào)兩種列式方法的內(nèi)在聯(lián)系，列綜合算式時著重說明使用小括號的目的。
國旗下的講話演講稿小學(xué)五年級
導(dǎo)語：演講稿也叫演講詞，它是在較為隆重的儀式上和某些公眾場合發(fā)表的講話文稿。 演講稿是進(jìn)行演講的依據(jù)，是對演講內(nèi)容和形式的規(guī)范和提示，它體現(xiàn)著演講的目的和手段。以下是小編為您搜集整理提供到的范文，希望對您有所幫助，歡迎閱讀參考學(xué)習(xí)!普通話，請從我做起普通話是每個人都應(yīng)該會說的，是一種以北京語言為標(biāo)準(zhǔn)音，以北方方言為基礎(chǔ)方言，以典范的現(xiàn)代白話文著作為語法規(guī)范的一種通用的語言形式。普通話是我們學(xué)習(xí)說話的第一步，也是做一個文明人的第一步，要是一個人連最基本的普通話都不會說，他還怎么去和別人交流呢?普通話已深入到我們?nèi)粘５膶W(xué)習(xí)和生活中，無論我們在干什么，普通話都回蕩在我們周圍的每一個角落。有人可能會問，“為什么要說普通話呢?”因為中國是一個多民族、多語言、多方言的國家，根據(jù)著名的語言學(xué)家周光有先生講，我國56個民族共有80多種彼此不同的語言和地區(qū)方言，而我們每一個人又不可能一輩子都生活在同一個地方，固步自封，不去見識外面的世界吧，所以一旦我們身處異鄉(xiāng)，便會遇到語言方面的障礙，不能與人溝通、交流。這時，如果我們都會說一種共同的語言——普通話，那么，就不用再為語言不通而急得滿頭大汗、不知所措了。
二年級迎接期末考試國旗下講話
各位同學(xué)，各位老師，早上好!伴著清晨的縷陽光，我們又迎來了新的一天，新的一周。今天我講話的主題是：以積極的態(tài)度迎接期末考試 。開學(xué)到現(xiàn)在已近一個學(xué)期了，四個月來，老師們克服了很多困難，認(rèn)真地備課、上課、批改作業(yè)、輔導(dǎo)學(xué)生;我們同學(xué)認(rèn)真地聽課、按時完成作業(yè)、積極參加各項活動，確保了學(xué)校教學(xué)工作的順利展開。一轉(zhuǎn)眼，今天已經(jīng)是第十八周的星期一了，下周的星期二將舉行語文、數(shù)學(xué)的期末考試，星期三將舉行英語的期末考試。期末考試是學(xué)校教學(xué)工作中的一件大事，它是評估一學(xué)期來教學(xué)質(zhì)量和學(xué)習(xí)質(zhì)量的一種重要手段，期末考試的學(xué)科成績是衡量教師教學(xué)質(zhì)量和學(xué)生學(xué)習(xí)質(zhì)量的主要依據(jù)之一。因此全體師生思想上要高度重視期末考試考試，認(rèn)真復(fù)習(xí)，作好充分準(zhǔn)備，力爭在期末考試中取得優(yōu)異成績，為此特向全體師生提出如下三點要求：1，要求全體老師要根據(jù)期末考試的特征，根據(jù)本學(xué)科的特點，結(jié)合學(xué)生的實際精心備好每一節(jié)復(fù)習(xí)課，認(rèn)真上好每一節(jié)復(fù)習(xí)課，系統(tǒng)整理一學(xué)期來的知識體系，供學(xué)生復(fù)習(xí)使用。同時要做好基礎(chǔ)薄弱學(xué)生和學(xué)有困難學(xué)生的思想工作，切實加強這些同學(xué)的輔導(dǎo)工作，做好考試方法的指導(dǎo)工作，激發(fā)他們的信心，努力使他們在原有的基礎(chǔ)上有所提高。
二年級期末考試動員國旗下講話
各位同學(xué)，各位老師，早上好!伴著清晨的第一縷陽光，我們又迎來了新的一天，新的一周。今天我講話的主題是：以積極的態(tài)度迎接期末考試 。開學(xué)到現(xiàn)在已近一個學(xué)期了，四個月來，老師們克服了很多困難，認(rèn)真地備課、上課、批改作業(yè)、輔導(dǎo)學(xué)生;我們同學(xué)認(rèn)真地聽課、按時完成作業(yè)、積極參加各項活動，確保了學(xué)校教學(xué)工作的順利展開。一轉(zhuǎn)眼，今天已經(jīng)是第十八周的星期一了，下周的星期二將舉行語文、數(shù)學(xué)的期末考試，星期三將舉行英語的期末考試。期末考試是學(xué)校教學(xué)工作中的一件大事，它是評估一學(xué)期來教學(xué)質(zhì)量和學(xué)習(xí)質(zhì)量的一種重要手段，期末考試的學(xué)科成績是衡量教師教學(xué)質(zhì)量和學(xué)生學(xué)習(xí)質(zhì)量的主要依據(jù)之一。因此全體師生思想上要高度重視期末考試考試，認(rèn)真復(fù)習(xí)，作好充分準(zhǔn)備，力爭在期末考試中取得優(yōu)異成績，為此特向全體師生提出如下三點要求：第一，要求全體老師要根據(jù)期末考試的特征，根據(jù)本學(xué)科的特點，結(jié)合學(xué)生的實際精心備好每一節(jié)復(fù)習(xí)課，認(rèn)真上好每一節(jié)復(fù)習(xí)課，系統(tǒng)整理一學(xué)期來的知識體系，供學(xué)生復(fù)習(xí)使用。
八年級地理《海陸分布》說課教學(xué)
（一）教材的地位和作用《海陸分布》主要介紹世界的海洋與陸地的概況，是學(xué)生在學(xué)習(xí)了《認(rèn)識地球》等章節(jié)的基礎(chǔ)上，初步認(rèn)識世界海陸的分布，是對前面所學(xué)習(xí)內(nèi)容的拓展和延伸；同時學(xué)好本節(jié)有助于學(xué)生學(xué)習(xí)八年級上冊的氣候、居民及下冊的世界分區(qū)地理。所以這一節(jié)的內(nèi)容顯得十分重要。
中班游戲教案：一物多玩紙板游戲
3、培養(yǎng)訓(xùn)練生活技能，學(xué)習(xí)穿線，系鞋帶的方法，提高幼兒的動手能力。4、發(fā)展幼兒的想象力、合作能力。 活動準(zhǔn)備1、適宜的場地。2、圓形紙板，紙板中心位子鉆兩個小洞。3、每人一條塑料繩。 活動過程一、活動身體，直接引入課題1、紙板是怎么玩得？提出問題讓幼兒思考。2、誰愿意來試一試。個別幼兒嘗試。3、你還能怎么玩紙板？加深問題難度，提供想象空間。
人教版高中語文必修3《一名物理學(xué)家的教育歷程》教案
①闡發(fā)話題式:就是用簡練的語言對所給話題材料加以概括和濃縮，并找到一個最佳切入點加以深層次闡述。吉林一考生的滿分作文《漫談“感情”“認(rèn)知”》的題記是：“同是對‘修墻’‘防盜’的預(yù)見，卻產(chǎn)生‘聰明’或‘被懷疑’的結(jié)果?！星椤鼓苋绱说刈笥抑J(rèn)知’，心的小舟啊，在文化的河流中求索?！边@個題記通過對材料的簡單解釋，將“感情”與“認(rèn)知”二者的關(guān)系詮釋得非常明白，也點明了作者的態(tài)度和議論的中心。②詮釋題目式:所擬題目一般都具有深刻性特點，運用題記形式對題目進(jìn)行巧妙而又全面的詮釋。云南一考生的滿分作文《與你同行》的題記是：“他們一路同行，一個汲著水，一個負(fù)著火，形影相隨。在他們攜手共進(jìn)時，就產(chǎn)生了智慧。”這個題記形象而深刻地對“與你同行”這個題目進(jìn)行了解釋，言簡意賅，表明了考生對感情和理智關(guān)系的認(rèn)識。
必修一牛頓第一定律教案
(二)?過程與方法? 4.?觀察生活中的慣性現(xiàn)象，了解力和運動的關(guān)系? 5.?通過實驗加深對牛頓第一定律的理解? 6.?理解理想實驗是科學(xué)研究的重要方法? (三)?情感態(tài)度與價值觀? 7.?通過伽利略和亞里士多德對力和運動關(guān)系的不同認(rèn)識，了解人類認(rèn)識事物本質(zhì)的曲折性? 8.?感悟科學(xué)是人類進(jìn)步的不竭動力
北師大初中數(shù)學(xué)九年級上冊一元二次方程1教案
解：設(shè)需要剪去的小正方形邊長為xcm，則紙盒底面的長方形的長為(19－2x)cm，寬為(15－2x)cm.根據(jù)題意，得(19－2x)(15－2x)＝81.整理，得x2－17x＋51＝0(x＜152)．方法總結(jié)：列方程最重要的是審題，只有理解題意，才能恰當(dāng)?shù)卦O(shè)出未知數(shù)，準(zhǔn)確地找出已知量和未知量之間的等量關(guān)系，正確地列出方程．在列出方程后，還應(yīng)根據(jù)實際需求，注明自變量的取值范圍．三、板書設(shè)計一元二次方程概念：只含有一個未知數(shù)x的整式方 程，并且都可以化成ax2＋bx＋c ＝0（a，b，c為常數(shù)，a≠0）的形式一般形式：ax2＋bx＋c＝0（a，b，c為?！ ?數(shù)，a≠0），其中ax2，bx，c 分別稱為二次項、一次項和 常數(shù)項，a，b分別稱為二次 項系數(shù)和一次項系數(shù)本課通過豐富的實例，讓學(xué)生觀察、歸納出一元二次方程的有關(guān)概念，并從中體會方程的模型思想．通過本節(jié)課的學(xué)習(xí)，應(yīng)該讓學(xué)生進(jìn)一步體會一元二次方程也是刻畫現(xiàn)實世界的一個有效數(shù)學(xué)模型，初步培養(yǎng)學(xué)生的數(shù)學(xué)來源于實踐又反過來作用于實踐的辯證唯物主義觀點，激發(fā)學(xué)生學(xué)習(xí)數(shù)學(xué)的興趣.
北師大初中數(shù)學(xué)九年級上冊用公式法求解一元二次方程2教案
二、填空題1．一元二次方程ax2+bx+c=0（a≠0）的求根公式是________，條件是________．2．當(dāng)x=______時，代數(shù)式x2-8x+12的值是-4．3．若關(guān)于x的一元二次方程（m-1）x2+x+m2+2m-3=0有一根為0，則m的值是_____．三、綜合提高題1．用公式法解關(guān)于x的方程：x2-2ax-b2+a2=0．2．設(shè)x1，x2是一元二次方程ax2+bx+c=0（a≠0）的兩根，（1）試推導(dǎo)x1+x2=- ，x1·x2= ；（2）求代數(shù)式a（x13+x23）+b（x12+x22）+c（x1+x2）的值．3．某電廠規(guī)定：該廠家屬區(qū)的每戶居民一個月用電量不超過A千瓦時，那么這戶居民這個月只交10元電費，如果超過A千瓦時，那么這個月除了交10元用電費外超過部分還要按每千瓦時 元收費．（1）若某戶2月份用電90千瓦時，超過規(guī)定A千瓦時，則超過部分電費為多少元？（用A表示）（2）下表是這戶居民3月、4月的用電情況和交費情況
北師大初中數(shù)學(xué)九年級上冊用公式法求解一元二次方程2教案
二、填空題1．一元二次方程ax2+bx+c=0（a≠0）的求根公式是________，條件是________．2．當(dāng)x=______時，代數(shù)式x2-8x+12的值是-4．3．若關(guān)于x的一元二次方程（m-1）x2+x+m2+2m-3=0有一根為0，則m的值是_____．三、綜合提高題1．用公式法解關(guān)于x的方程：x2-2ax-b2+a2=0．2．設(shè)x1，x2是一元二次方程ax2+bx+c=0（a≠0）的兩根，（1）試推導(dǎo)x1+x2=- ，x1·x2= ；（2）求代數(shù)式a（x13+x23）+b（x12+x22）+c（x1+x2）的值．3．某電廠規(guī)定：該廠家屬區(qū)的每戶居民一個月用電量不超過A千瓦時，那么這戶居民這個月只交10元電費，如果超過A千瓦時，那么這個月除了交10元用電費外超過部分還要按每千瓦時 元收費．（1）若某戶2月份用電90千瓦時，超過規(guī)定A千瓦時，則超過部分電費為多少元？（用A表示）（2）下表是這戶居民3月、4月的用電情況和交費情況
北師大初中數(shù)學(xué)九年級上冊用公式法求解一元二次方程1教案
易錯提醒：利用b2－4ac判斷一元二次方程根的情況時，容易忽略二次項系數(shù)不能等于0這一條件，本題中容易誤選A.【類型三】 根的判別式與三角形的綜合應(yīng)用已知a，b，c分別是△ABC的三邊長，當(dāng)m>0時，關(guān)于x的一元二次方程c(x2＋m)＋b(x2－m)－2m ax＝0有兩個相等的實數(shù)根，請判斷△ABC的形狀．解析：先將方程轉(zhuǎn)化為一般形式，再根據(jù)根的判別式確定a，b，c之間的關(guān)系，即可判定△ABC的形狀．解：將原方程轉(zhuǎn)化為一般形式，得(b＋c)x2－2m ax＋(c－b)m＝0.∵原方程有兩個相等的實數(shù)根，∴(－2m a)2－4(b＋c)(c－b)m＝0，即4m(a2＋b2－c2)＝0.又∵m≠0，∴a2＋b2－c2＝0，即a2＋b2＝c2.根據(jù)勾股定理的逆定理可知△ABC為直角三角形．方法總結(jié)：根據(jù)一元二次方程根的情況，利用判別式得到關(guān)于一元二次方程系數(shù)的等式或不等式，再結(jié)合其他條件解題．