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人教版新課標(biāo)小學(xué)數(shù)學(xué)二年級(jí)下冊(cè)乘除法解決實(shí)際問題 說課稿2篇

  • 新人教版高中英語必修3Unit 3 Diverse Cultures-Listening &Speaking&Talking教學(xué)設(shè)計(jì)

    新人教版高中英語必修3Unit 3 Diverse Cultures-Listening &Speaking&Talking教學(xué)設(shè)計(jì)

    1. In Picture 1 and Picture 2, where do you think they are from? How do you know?From their wearings, we can know they are from ethnic minority of China--- Miao and Dong.Picture 1, they are playing their traditional instrument lusheng in their traditional costumes.Picture 2. the girls are Miao because they wear their traditional costumes and silver accessory.2. In Picture 3, can you find which village it is? What time is it in the picture?It is Dong village. It is at night. Step 2 While-listeningJustin met a new friend while traveling in Guizhou. Listen to their conversation and complete the summaries below.Part 1Justin and Wu Yue watched some Miao people play the lusheng. The instrument has a history of over 3,000 years and it is even mentioned in the oldest collection of Chinese poetry. Then they watched the lusheng dance. Justin wanted to buy some hand-made silver/traditional accessories as souvenirs. He was told that the price will depend on the percentage of silver. Part 2They will go to a pretty Dong minority village called Zhaoxing. they will see the drum towers and the wind and rain bridges. They may also see a performance of the Grand Song of the Dong people.Step 3 Post-listening---TalkingWork in groups. Imagine Justin is telling some friends about his trip to Guizhou. One of you is Justin and the rest of you are his friends. Ask Justin questions about his trip and experience. The following expressions may help you.

  • 新人教版高中英語必修3Unit 3 Diverse Cultures-Reading and Thinking教學(xué)設(shè)計(jì)

    新人教版高中英語必修3Unit 3 Diverse Cultures-Reading and Thinking教學(xué)設(shè)計(jì)

    Discuss these questions in groups.Q1: Have you ever been to a place that has a diverse culture ? What do you think about the culture diversity ?One culturally diverse place that I have been to is Harbin, the capital city of Heilongjiang Province. I went there last year with my family to see the Ice and Snow Festival, and I was amazed at how the culture as different to most other Chinese cities. There is a big Russian influence there, with beautiful Russian architecture and lots of interesting restaurants. I learnt that Harbin is called “the Oriental Moscow” and that many Russians settled there to help build the railway over 100 years ago.Q2: What are the benefits and challenges of cultural diversity ?The benefits: People are able to experience a wide variety of cultures, making their lives more interesting, and it can deepen the feelings for our national culture, it is also helpful for us to learn about other outstanding culture, which helps improve the ability to respect others. The challenges: People may have trouble communicating or understanding each other, and it may lead to disappearance of some civilizations and even make some people think “The western moon is rounder than his own.”Step 7 Post reading---RetellComplete the passage according to the text.Today, I arrived back in San Francisco, and it feels good (1) _____(be) back in the city again. The city succeeded in (2)_________ (rebuild) itself after the earthquake that (3)________ (occur) in 1906, and I stayed in the Mission District, enjoying some delicious noodles mixed with cultures. In the afternoon, I headed to a local museum (4)____ showed the historical changes in California. During the gold rush, many Chinese arrived, and some opened up shops and restaurants in Chinatown to earn a (5)_____ (live). Many others worked on (6)______ (farm), joined the gold rush, or went to build the railway that connected California to the east. The museum showed us (7)____ America was built by immigrants from (8)________ (difference) countries and cultures. In the evening, I went to Chinatown, and ate in a Cantonese restaurant that served food on (9)________(beauty) china plates. Tomorrow evening, I’m going to (10)__ jazz bar in the Richmond District. 答案:1. to be 2. rebuilding 3. occurred 4. that 5.living6. farms 7.how 8. different 9. beautiful 10. a

  • 新人教版高中英語必修3Unit 4 Space Exploration-Listening&Speaking&Talking教學(xué)設(shè)計(jì)一

    新人教版高中英語必修3Unit 4 Space Exploration-Listening&Speaking&Talking教學(xué)設(shè)計(jì)一

    Listening and Speaking introduces the topic of “talking about how to become an astronaut”. This period is aimed to inform students some details about the requirements of being an astronaut. Students can be motivated and inspired by the astronauts. Teachers ought to encourage students to learn from them and let them aim high and dream big.Listening and Talking introduces the theme of "talk about life in space". This part also informs students more details about life in space and can inspire students to be curious about this job. 1. Guide students to listen for numbers concerning dates, years and ages etc2. Cultivate students' ability to talk about how to become an astronaut and life in space ; 3. Instruct students to use functional sentences of the dialogue such as “ first of all, I am not sure, so what might be .. I guess.. I wonder…I am curious…)appropriately.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 become a qualified astronaut and describe the life in space.Part 1: Listening and SpeakingStep 1: Lead inPredictionThe teacher can ask students to predict what the listening text is about by looking at the pictures.About how to become an astronaut./the requirements of an astronautStep 2: Then, play the radio which is about an interview a. And after finishing listening for the first time, the students need to solve the following tasks.

  • 新人教版高中英語必修3Unit 4 Space Exploration-Reading and Thinking教學(xué)設(shè)計(jì)一

    新人教版高中英語必修3Unit 4 Space Exploration-Reading and Thinking教學(xué)設(shè)計(jì)一

    Q4: What is the function of the International exploration ?Having astronauts from different countries on boardQ5: What can you learn from Para 4 ?China has made great achievements in exploring spaceQ6: What is the attitude to the space exploration ?SupportiveStep 6 Post reading---RetellPeople have always wanted to learn more about space. Before the mid-20th century, most people felt (1)_________ (travel) into space was an impossible dream. However, (2)____ the help of scientists, peoplesucceeded in realizing their dream (3) _________ (explore) space. On 4 October 1957, the Sputnik 1 satellite (4) ____________(launch) by the USSR. (5) ________________ scientists try to make sure nothing goes wrong, accidents can still happen. These disasters made everyone(6)___________(disappoint), but people still believe in the importance of (7) ________(carry) on space exploration. In 2003, China became the third country to (8)_____________ (independent) send humans into space. Then Shenzhou 6 and 7 completed (9)____ second manned orbit and the first Chinese spacewalk. In spite of the difficulties, scientists hope future (10)__________ (discovery) will not only enable us to understand the universe but also help us survive well into the future.Answers: 1. travelling 2. with 3. to explore 4. was launched 5. Although6. disappointed 7. carrying 8. independently 9. a 10. discoveriesStep 6 Post reading---Critical thinkingQ1: What do you think of the space exploration ? I think it is beneficial to us. Through further study of space, people will make full use of it in the future, such as the space experiments by Wang Yaping in Tian Gong 1.Q2: If you are determined to be an astronaut, what should you prepare at present ?First of all, I should study hard to get a related college degree. Besides, I must keep mental and physical healthy.Step 7. HomeworkTry to summarize the structure of the article by a mind map.

  • 新人教版高中英語必修3Unit 4 Space Exploration-Reading For Writing教學(xué)設(shè)計(jì)一

    新人教版高中英語必修3Unit 4 Space Exploration-Reading For Writing教學(xué)設(shè)計(jì)一

    另一方面,其余的人反對(duì)這個(gè)計(jì)劃,因?yàn)樗赡軙?huì)導(dǎo)致一些不好的影響。7.I hold the belief that space exploration not only enable us to understand how the universe began but also help us survived well into the future.我堅(jiān)信探索太空不僅能夠使我們了解宇宙的起源而且能夠幫助我們更好地走進(jìn)未來。8.I think we should spend more time and money exploring space so as to provide new and better solutions to people's short­term and long­term problems.為了給人類的短期和長期問題提供更新和更好的解決方法,我認(rèn)為我們應(yīng)該花更多的時(shí)間和金錢來探索太空。9.From my point of view,it is wrong of young people to depend on their telephones too much,which may do harm to both their physical and mental health.在我看來,年輕人過度依賴手機(jī)是不對(duì)的,因?yàn)樗鼈兛赡軙?huì)對(duì)他們的身心健康都有害。最近你班同學(xué)就“人類是否應(yīng)該進(jìn)行宇宙探索”這個(gè)問題進(jìn)行了激烈的討論。有人認(rèn)為,探索宇宙不僅讓人類更好地了解宇宙的發(fā)展,還可以用來指導(dǎo)農(nóng)業(yè)生產(chǎn),以及把一些探索太空的高新技術(shù)用于現(xiàn)實(shí)生活;也有一些人認(rèn)為探索太空花掉了大量的人力物力;影響了人們的生活水平。請(qǐng)你根據(jù)以下情況寫一篇報(bào)告并發(fā)表自己的觀點(diǎn)。注意:1.寫作內(nèi)容應(yīng)包括以上全部要點(diǎn),可適當(dāng)發(fā)揮,使上下文連貫;

  • 新人教版高中英語必修3Unit 5 The Value of Money- Discovering Useful Structure教學(xué)設(shè)計(jì)

    新人教版高中英語必修3Unit 5 The Value of Money- Discovering Useful Structure教學(xué)設(shè)計(jì)

    Step 3 Meaning1. 過去將來時(shí)表示從過去某一時(shí)間來看將要發(fā)生的動(dòng)作或存在的狀態(tài), 常用在賓語從句中。一般由“would/should +動(dòng)詞原形”構(gòu)成。She hoped that they would meet again someday. 她希望將來有一天他們能再見面。2. was/were going to+動(dòng)詞原形: 表示過去將要發(fā)生或很有可能發(fā)生的動(dòng)作, 常用于口語中, 表示預(yù)言、意圖或者打算等。He was going to start work the following week. 他打算下星期開始工作。3. was/were about to do: 常用來表示即將發(fā)生的動(dòng)作, “剛要/正要做……”。注意該結(jié)構(gòu)不與任何時(shí)間狀語連用。I felt that something terrible was about to happen. 我感到某種可怕的事情即將發(fā)生。4.was/were to do: 表示“曾計(jì)劃做某事”, 如果表示“本來計(jì)劃做某事, 動(dòng)作沒實(shí)現(xiàn)”, 則需用 “was/were to have done”。She said she was to have told me about the accident. 她說她本來想告訴我關(guān)于事故的事。5.Start, go, come, leave, see, meet等動(dòng)詞的過去進(jìn)行時(shí): 表示就過去某一時(shí)刻而言即將發(fā)生的動(dòng)作。She was coming later. 她隨后就來。I had just put on my overcoat and was leaving to visit a friend of mine. 我剛穿上外套要去看我的一個(gè)朋友。

  • 新人教版高中英語必修3Unit 5 The Value of Money-Listening &Speaking教學(xué)設(shè)計(jì)

    新人教版高中英語必修3Unit 5 The Value of Money-Listening &Speaking教學(xué)設(shè)計(jì)

    Step 4: Listen again and decide if the following statements are true (T) or false (F).1 It was the first time Chen Liyan's story was reported. T口 F口2 Chen found 10,000 yuan in a small plastic bag in Taiyuan railway station口 F口3 Wang Zheng apologized to Chen because he couldn't offer her more money. T口 F口4 Chen took out a large loan to cure her daughter, T口 F口5 Wang set up a fundraising website for Chen's daughter after Chen told him about her situation. T口 F口Step 5:After listening, discuss the questions.1 What kind of person do you think Chen Liyan is?Chen Liyan is generous and honest because she returned a large sum of money to the owner.2 Did Chen return the money because she didn't need it?No. She returned the money because it was the right thing to do. Evidence for this is that she refused to accept the reward money because she felt that it had not been earned. 3 Is it common for people to do what Chen did?It depends on the culture. In some countries it is quite common to return money that has been found. In other countries, people believe "Finders are keepers!" 4 How did Wang Zheng feel about the return of his money?He must have been very happy and relieved to have gotten his money back. We know this because he thanked Chen repeatedly and even offered her a reward.5 Why did Ma Dongbao tell Wang about Chen's family?He must have had great sympathy for Chen and her daughter and wanted to help them.'We know this because he arranged help for them. 6 How did the news reporter feel about Chen's actions?The news reporter felt that it showed that money wasn't the most important thing in life. We know this because the reporter told us that this is what Chen believes. and then said, “that's a great attitude to take."

  • 統(tǒng)編版三年級(jí)語文上第18課富饒的西沙群島教學(xué)設(shè)計(jì)教案

    統(tǒng)編版三年級(jí)語文上第18課富饒的西沙群島教學(xué)設(shè)計(jì)教案

    《富饒的西沙群島》是部編版小學(xué)語文三年級(jí)上冊(cè)第六單元的一篇精讀課文。本課的結(jié)構(gòu)清晰,語言生動(dòng),富有兒童情趣。文章結(jié)構(gòu)分明,先總寫西沙群島風(fēng)景優(yōu)美、物產(chǎn)豐富,再分別介紹了海水、海底生物、海島上的鳥三方面的內(nèi)容,表達(dá)了作者對(duì)祖國海疆的熱愛和贊美之情。本單元的語文要素是“借助關(guān)鍵語句理解一段話的意思”,本課在開篇的第一自然段就有了概括整篇文章的中心句“那里風(fēng)景優(yōu)美、物產(chǎn)豐富,是個(gè)可愛的地方”。課文的第五自然段也圍繞“西沙群島也是鳥的天下”這個(gè)關(guān)鍵句進(jìn)行描述。課后習(xí)題的“選擇你喜歡的部分,向別人介紹西沙群島”“從下面的圖片選擇一幅圖,寫幾句話”等學(xué)習(xí)要求。目的在于讓學(xué)生借助關(guān)鍵句理解課文和一段話的意思,提升學(xué)生理解感悟和運(yùn)用語言的能力。 1.會(huì)認(rèn)“饒、優(yōu)”9個(gè)生字,會(huì)寫“優(yōu)、淺”等13個(gè)生字,讀準(zhǔn)多音字“參”。能聯(lián)系上下文理解“風(fēng)景優(yōu)美、物產(chǎn)豐富、五光十色”等詞語的意思。2.有感情地朗讀課文。了解課文是從海水、海底的生物、海島上的鳥三個(gè)方面描寫西沙群島的美麗富饒的。3.能選擇一幅圖,用幾句話描寫圖上的景觀。 1.教學(xué)重點(diǎn):能通過理解詞句,了解西沙群島的美麗富饒。理解文中部分難句子。2.教學(xué)難點(diǎn):掌握文中的寫作手法,嘗試運(yùn)用到習(xí)作中。 2課時(shí)

  • 統(tǒng)編版三年級(jí)語文上第12課總也倒不了的老屋教學(xué)設(shè)計(jì)教案

    統(tǒng)編版三年級(jí)語文上第12課總也倒不了的老屋教學(xué)設(shè)計(jì)教案

    《總也倒不了的老屋》是三年級(jí)上冊(cè)第四單元的第一篇課文。課文主要描寫了老屋幫助了很多人,為他們遮風(fēng)擋雨的故事,贊揚(yáng)了老屋的愛心和他的善良品質(zhì)。本課的重點(diǎn)是通過感情朗讀,理解課文內(nèi)容,引導(dǎo)學(xué)生聯(lián)系上下文,體會(huì)老屋善良、富有同情心的美好品質(zhì)。本課的難點(diǎn)是學(xué)習(xí)預(yù)測(cè)故事,續(xù)編故事。課文用反復(fù)的手法推進(jìn)情節(jié)的發(fā)展,各部分情節(jié)具有相似性,教學(xué)過程中可引導(dǎo)學(xué)生關(guān)注相關(guān)內(nèi)容,這也可以為學(xué)生預(yù)測(cè)故事的發(fā)展提供方法上的引領(lǐng),尤其是對(duì)老屋和小動(dòng)物的語言、動(dòng)作和心理等細(xì)節(jié)描寫的相似為學(xué)生提供預(yù)測(cè)的依據(jù)。 1.會(huì)認(rèn)“暴、湊”等6個(gè)生字,會(huì)寫“準(zhǔn)、備”13個(gè)生字,理解“準(zhǔn)備、偶爾”等詞語。2.能試著一邊讀一邊預(yù)測(cè)故事的情節(jié)發(fā)展。3.能根據(jù)題目、插圖和故事內(nèi)容中的線索,結(jié)合生活經(jīng)驗(yàn)和常識(shí)進(jìn)行故事情節(jié)的預(yù)測(cè),培養(yǎng)閱讀興趣。4.初步體會(huì)預(yù)測(cè)的好處和樂趣,學(xué)習(xí)老屋善良的品質(zhì)。 1.教學(xué)重點(diǎn):培養(yǎng)學(xué)生抓住重點(diǎn)詞句理解課文內(nèi)容的能力,能試著一邊讀一邊預(yù)測(cè)故事的情節(jié)發(fā)展。2.教學(xué)難點(diǎn):引導(dǎo)學(xué)生初步掌握通過故事情節(jié)的發(fā)展方向,預(yù)測(cè)故事結(jié)局的方法。 2課時(shí)

  • 統(tǒng)編版三年級(jí)語文上第15課搭船的鳥教學(xué)設(shè)計(jì)教案

    統(tǒng)編版三年級(jí)語文上第15課搭船的鳥教學(xué)設(shè)計(jì)教案

    本單元的主題是留心觀察。本單元也是本套教材中第一次出現(xiàn)的習(xí)作單元,這種單元自成體系。教材力圖引導(dǎo)學(xué)生做生活的有心人,留心觀察周圍的人、事、景物,感受作者留心觀察的細(xì)致,體會(huì)細(xì)致觀察的好處?!洞畲镍B》是一篇內(nèi)容淺顯而富有童趣的文章,本文以一個(gè)孩子的口氣寫了他在大自然中認(rèn)識(shí)翠鳥的過程,記錄了“我”旅途中的觀察所得。既觀察了旅途中聽到的雨聲,也觀察了翠鳥的外貌和捕魚時(shí)的動(dòng)作。題目一個(gè)“搭”字使鳥兒具有了靈性,體現(xiàn)了鳥和人在自然中的和諧。 1.認(rèn)識(shí)“父、鸚、鵡、悄”等4個(gè)生字,讀準(zhǔn)多音字“啦”,會(huì)寫“搭、親”等13個(gè)生字,會(huì)寫“母親、外祖父”等11個(gè)詞語。2.整體把握文章的意思,理解題意。3.通過描寫翠鳥的語句,了解“我”對(duì)翠鳥的外貌、動(dòng)作所作的觀察,感受作者觀察的細(xì)致,初步體會(huì)留心觀察的好處。4.在學(xué)習(xí)作者細(xì)致觀察的基礎(chǔ)上,培養(yǎng)學(xué)生留心觀察周圍事物的習(xí)慣。 1.教學(xué)重點(diǎn):整體把握文章的意思,理解題意。通過描寫翠鳥的語句,了解“我”對(duì)翠鳥的外貌、動(dòng)作所作的觀察,感受作者觀察的細(xì)致,初步體會(huì)留心觀察的好處。2.教學(xué)難點(diǎn):在學(xué)習(xí)作者細(xì)致觀察的基礎(chǔ)上,培養(yǎng)學(xué)生留心觀察周圍事物的習(xí)慣。 2課時(shí)

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    統(tǒng)編版三年級(jí)語文上第16課金色的草地教學(xué)設(shè)計(jì)教案

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    統(tǒng)編版三年級(jí)語文上第17課古詩三首教學(xué)設(shè)計(jì)教案

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    統(tǒng)編版三年級(jí)語文上第22課讀不完的大書教學(xué)設(shè)計(jì)教案

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    統(tǒng)編版三年級(jí)語文上第21課大自然的聲音教學(xué)設(shè)計(jì)教案

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    統(tǒng)編版三年級(jí)語文上第24課司馬光教學(xué)設(shè)計(jì)教案

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    統(tǒng)編版三年級(jí)語文上第27課一個(gè)粗瓷大碗教學(xué)設(shè)計(jì)教案

    《一個(gè)粗瓷大碗》是統(tǒng)編版教材三年級(jí)語文上冊(cè)第八單元的一篇略讀課文,本文圍繞“粗瓷大碗”講述了趙一曼把小通訊員盛給她的高粱米飯倒進(jìn)病號(hào)灶的鍋里,和戰(zhàn)士們一起喝野菜粥;把小通訊員給她找的用來吃飯的碗又一次丟掉了的故事,表現(xiàn)了她在艱苦的環(huán)境中關(guān)愛戰(zhàn)士勝過關(guān)心自己,與戰(zhàn)士同甘共苦、堅(jiān)持革命的高貴品質(zhì)。課文是一篇略讀課文,學(xué)習(xí)時(shí)可帶著問題默讀,邊讀邊思考,這樣可以更好地理解課文的內(nèi)容。教學(xué)本文時(shí),要由淺入深地設(shè)置問題,讓學(xué)生帶著問題默讀課文;還要提示學(xué)生,默讀時(shí),沒讀懂的地方標(biāo)記下來,可以聯(lián)系上下文進(jìn)一步思考,也可以讀完之后和同學(xué)一起探討。 1.認(rèn)識(shí)“陳、曼”等7個(gè)生字,讀準(zhǔn)多音字“還”。2.能帶著問題默讀課文,了解圍繞“粗瓷大碗”發(fā)生的故事。3.能從人物的語言、動(dòng)作等描寫中感受到人物的心情、品質(zhì)。 1.教學(xué)重點(diǎn):能帶著問題默讀課文,了解圍繞“粗瓷大碗”發(fā)生的故事。2.教學(xué)難點(diǎn):深入理解文章內(nèi)容,感受趙一曼的高貴品質(zhì)。 1課時(shí)

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    《開學(xué)第一課》主題班會(huì)課教案

    活動(dòng)過程:一、應(yīng)對(duì)長假綜合癥。制定目標(biāo),努力奮斗。1.又一個(gè)暑假過去了,假期里你都干些什么了?有什么收獲和感觸?2.你是否還渴望盡情地玩電腦、手機(jī)游戲?3.那么,我們?cè)撛趺崔k呢?應(yīng)該做兩件事:應(yīng)對(duì)長假綜合癥。制定目標(biāo),努力奮斗。1.視覺疲勞癥。由于長時(shí)間上網(wǎng)、打游戲、看電視、看碟,長時(shí)間面對(duì)屏幕,增加了眼睛和大腦的負(fù)擔(dān),導(dǎo)致眼睛紅腫、全身酸痛、精神萎靡。2.消化不良癥。由于身體攝入過多的高脂肪或熱量高的食物,加重了腸胃的負(fù)擔(dān),引起消化不良。3.上學(xué)恐懼癥。與平時(shí)的快節(jié)奏生活相比,節(jié)日期間一旦徹底放松,生活規(guī)律就被打破,于是造成心理和生理的種種不適,產(chǎn)生失落厭倦和恐懼感。4.旅游后遺癥。旅途一族勞頓和飲食不規(guī)律,打破了身體的酸堿平衡,外加環(huán)境改變、水土不服,極易出現(xiàn)感冒發(fā)燒、角膜發(fā)炎、牙痛、口腔潰瘍等各種疾病。

  • 空間向量基本定理教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)

    空間向量基本定理教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)

    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(gè)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(shí),一般要結(jié)合圖形,運(yùn)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(yùn)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(shí),通常選取公共起點(diǎn)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(diǎn)出發(fā)的三條棱所對(duì)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(diǎn),點(diǎn)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(gè)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(gè)正交基底.

  • 兩點(diǎn)間的距離公式教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)

    兩點(diǎn)間的距離公式教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)

    一、情境導(dǎo)學(xué)在一條筆直的公路同側(cè)有兩個(gè)大型小區(qū),現(xiàn)在計(jì)劃在公路上某處建一個(gè)公交站點(diǎn)C,以方便居住在兩個(gè)小區(qū)住戶的出行.如何選址能使站點(diǎn)到兩個(gè)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(diǎn)A、B,如何求A、B兩點(diǎn)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(diǎn)間的距離求出任意兩點(diǎn)間距離?探究.當(dāng)x1≠x2,y1≠y2時(shí),|P1P2|=?請(qǐng)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(diǎn)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(gè)公式嗎?2.兩點(diǎn)間距離公式的理解(1)此公式與兩點(diǎn)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(shí),|P1P2|=|x2-x1|.當(dāng)直線P1P2平行于y軸時(shí),|P1P2|=|y2-y1|.

  • 兩條平行線間的距離教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)

    兩條平行線間的距離教學(xué)設(shè)計(jì)人教A版高中數(shù)學(xué)選擇性必修第一冊(cè)

    一、情境導(dǎo)學(xué)前面我們已經(jīng)得到了兩點(diǎn)間的距離公式,點(diǎn)到直線的距離公式,關(guān)于平面上的距離問題,兩條直線間的距離也是值得研究的。思考1:立定跳遠(yuǎn)測(cè)量的什么距離?A.兩平行線的距離 B.點(diǎn)到直線的距離 C. 點(diǎn)到點(diǎn)的距離二、探究新知思考2:已知兩條平行直線l_1,l_2的方程,如何求l_1 〖與l〗_2間的距離?根據(jù)兩條平行直線間距離的含義,在直線l_1上取任一點(diǎn)P(x_0,y_0 ),,點(diǎn)P(x_0,y_0 )到直線l_2的距離就是直線l_1與直線l_2間的距離,這樣求兩條平行線間的距離就轉(zhuǎn)化為求點(diǎn)到直線的距離。兩條平行直線間的距離1. 定義:夾在兩平行線間的__________的長.公垂線段2. 圖示: 3. 求法:轉(zhuǎn)化為點(diǎn)到直線的距離.1.原點(diǎn)到直線x+2y-5=0的距離是( )A.2 B.3 C.2 D.5D [d=|-5|12+22=5.選D.]

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