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新人教版高中英語(yǔ)必修2Unit 1 Cultural Heritage-Reading and Thinking教案一
The theme of the reading and thinking is about “Understanding how a problem was solved”.The Listening & Speaking & Talking is about international co-work to protect the Mount Tai, in which the students from seven countries came up with many solutions even create the Mount Tai App. This section aims at showing how to solve a difficult and even tough problem about protecting the cultural heritage by the international co-work. So in this section, cultivating students’ international awareness is very clear and important. Concretely, with the economic development, how to balance the protection of cultural relics and social development is a big challenge for human. In the 1950s, the Egyptian government wanted to build the Aswan Dam across the Nile to control floods, produce electricity and water farms. But the proposal led to protests because it would destroy a lot of cultural relics. The Egyptian had no choice but ask the UN for help. Therefore, a international cooperation about how to protect the cultural relics began, which involved the time length about 20 years and a large amount of fund. Then, the problems was solved. 1. Read quickly to get the main idea and the structure of the article; read careful to get detailed information.2. Learn to use the reading strategy---making a timeline3. Learn how to solve a tough problem by asking for help and cooperation4. Have the international awareness and understand the great strength of international cooperation.1. Read quickly to get the main idea and the structure of the article; read careful to get detailed information.2. Learn to use the reading strategy---making a timeline.3. Learn how to solve a tough problem by asking for help and cooperation.
新人教版高中英語(yǔ)必修2Unit 2 Wildlife Protection-Discovering Useful Structure教案一
The activity topic of this section is "report an ongoing event", and the structure is the passive voice of present continuous tense. Rare wild animals are suffering from large-scale poaching, and species are on the brink of danger. Rescue operations are underway. "Being" and "suffering" are the meanings of the present progressive passive voice.The usage of present progressive passive voice is of great importance in writing a good discourse and appreciating some difficult language items, so it is vital to master it and use it flexibly in a context.1. Motivate Ss to deepen the understanding of the usage of present progressive passive voice in a fixed context.2. Enable Ss to master the usage of present progressive passive voice and use it flexibly in a context.3. Lead Ss to construct sentences or appreciate sentences used master it and use it flexibly in a context.1. Help students to appreciate the function of the usage of present progressive passive voice in a sentence2. Instruct students to write essays using the proper usage of present progressive passive voice.Look at the picture and tell me what are workers doing? What is the house being done?
新人教版高中英語(yǔ)必修2Unit 2 Wildlife Protection-Reading For Writing教案一
1. 標(biāo)題首先根據(jù)海報(bào)的特點(diǎn)、格式寫明標(biāo)題。海報(bào)中往往把內(nèi)容作為大標(biāo)題。例如: Save the earth, Save the birds。2. 正文部分不同的海報(bào)其正文部分的側(cè)重點(diǎn)不同。對(duì)于介紹性的海報(bào), 首先要引出話題, 其次列出原因, 最后是總結(jié)。對(duì)于宣傳類的海報(bào), 要寫明具體內(nèi)容, 如: 活動(dòng)內(nèi)容, 地點(diǎn)以及參加活動(dòng)的注意事項(xiàng), 主持或舉辦單位等。1. 圖片: 要選擇引人注目的圖片, 與主題要相關(guān), 色彩明亮。話題句式 1. It is a treasure of our country. 它是我國(guó)的國(guó)寶。2. Believe it or not, at present only several thousand pandas exist in the world. 信不信由你, 目前世界上僅現(xiàn)存幾千只熊貓。 3.It’s because of human activities that tigers are endangered. 正是因?yàn)槿祟惖幕顒?dòng), 老虎處于瀕危的狀態(tài)。4. Many wild animals are in danger of dying out. 很多野生動(dòng)物面臨著滅絕的危險(xiǎn)。 5. The government has taken effective measures to protect them. 政府已采取有效的措施來(lái)保護(hù)它們。6. People should raise the awareness of the protection of wild animals. 人們應(yīng)該提高保護(hù)野生動(dòng)物的意識(shí)。 7. It’s amazing that there are merely less than 1, 000 finless porpoises living in China. 非常令人吃驚, 目前中國(guó)僅有不足1 000只江豚。
新人教版高中英語(yǔ)必修2Unit 3 The Internet-Discovering Useful Structure教案一
This unit is about the Internet, which has a great influence to our humans and our lives. During the Listening & Speaking & Talking and Reading and Thinking section, the influence in examples has been shown. Thus, use the Present Perfect Tense is appropriate. However, in order to show the justice or weaken the doer of the behavior/action, it’s better to use the Present Perfect Passive Voice than the Present Perfect Tense. Besides, having learned to use the Present Perfect Passive Voice, students can beautify their language in their writing. 1. Learn the structure of the Present Perfect Passive Voice and its functions. 2. Learn to change the sentences with the Present Perfect Passive Voice into the sentences with the Present Perfect Passive Voice. 3. Learn to write sentences with the Present Perfect Passive Voice flexibly according to the context. 1. Learn the structure of the Present Perfect Passive Voice and its functions. 2. Learn to change the sentences with the Present Perfect Passive Voice into the sentences with the Present Perfect Passive Voice. 3. Learn to write sentences with the Present Perfect Passive Voice flexibly according to the context. Step 1 Observe the following sentences, then change the sentences into passive voice.He has been selected to take part in the sports meeting．(肯定句)他已被挑選出來(lái)參加運(yùn)動(dòng)會(huì)。The ink has not been removed from his overcoat．(否定句)墨跡還沒(méi)有從他外套上去掉。
新人教版高中英語(yǔ)必修2Unit 3 The Internet-Listening &Speaking＆Talking教案一
Listening and Speaking introduces the topic of “ask about online habits”. Many middle school students have been surfing the Internet for many years, but what they do with the Internet and how much time they spend every day may not be very clear to themselves, nor to other students. This section allows students to investigate their peers' Internet use, which is conducive to their mutual understanding and understanding of the Internet. It can also help them reflect on their own online behavior, learn from other people's good online habits, and get rid of their bad online behavior.The listening text of this section is an investigation interview. The investigators interview specific groups with the same questions to obtain information, so as to understand their views, practices or attitudes on this issue. There are two specific questions: “how much time do you spend online every day? What do you usually do online?”. The answers of the three respondents provide rich and different information, and achieve the purpose of the investigators. The oral discourse structure of survey interviews generally includes greeting and explaining the purpose of the interview, presenting the interview questions and the respondents' answers. Listening and Talking introduces the theme of “choosing the right application ". Listening text is a conversation between Laura and Xiao Bo. In this part of listening, “oink”； “piggy bank” may cause the students' hearing comprehension limitation. Oink refers to sound word and pig's sound. So, add some oink to my piggy bank is often used to describe "making a little money".1. Guide students to understand the content of listening texts in terms of listening for definitions.2. Cultivate students' ability to define words and understand an investigation interview.
新人教版高中英語(yǔ)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(yǔ)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(gè)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(jué)得不舒服的東西, 立即離開(kāi)這個(gè)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(hào)碼。 5. Identity theft is a common and serious problem. 身份盜竊是一個(gè)常見(jiàn)而嚴(yán)重的問(wèn)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(wú)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(gè)假名, 這樣他們就可以留在一個(gè)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(yǔ)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(yǔ)法要點(diǎn)精析。用法1：過(guò)去分詞作表語(yǔ)1）．過(guò)去分詞可放在連系動(dòng)詞be, get, feel, remain, seem, look, become等之后作表語(yǔ)，表示主語(yǔ)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(guò)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(guò)去分詞作表語(yǔ)時(shí)與被動(dòng)語(yǔ)態(tài)的區(qū)別過(guò)去分詞作表語(yǔ)時(shí)，強(qiáng)調(diào)主語(yǔ)所處的狀態(tài)；而動(dòng)詞的被動(dòng)語(yǔ)態(tài)表示主語(yǔ)是動(dòng)作的承受者，強(qiáng)調(diào)動(dòng)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(dòng)作)昨天我妹妹把杯子打碎了。2）感覺(jué)類及物動(dòng)詞的現(xiàn)在分詞與過(guò)去分詞作表語(yǔ)的區(qū)別過(guò)去分詞作表語(yǔ)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(yǔ)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(yǔ)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(tīng)了許多精彩的發(fā)言……(5)Because we wanted the nations of the world, working together, to deal with ... 因?yàn)槲覀兿Ｍ澜绺鲊?guó)團(tuán)結(jié)起來(lái)去應(yīng)對(duì)……(6)And if we do not act ... 如果我們不采取行動(dòng)……(7)Now, I share the concerns that have been expressed ... 我也同意對(duì)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(guò)一起努力我們可以……(9)It is now time for us to ... 是時(shí)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(shí)踐演練：假如你是高中生李華，你校將舉辦一次以“音樂(lè)”為主題的演講比賽，請(qǐng)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!
新人教版高中英語(yǔ)必修2Unit 2 Wildlife Protection-Reading and Thinking教案一
The listening and speaking part aims at how to protect and help endangered animals by listening, speaking and talking about the facts and reasons. This lesson analyzes the decreasing clause of Tibetan antelope population and the measures of protecting Tibetan antelopes. So students can be guided to learn to analyse the title and use different reading skills or strategies, like scanning, skimming and careful reading.1. Read quickly to get the main ideas and the purpose of going to Tibetan; read carefully to understand what the author see and think.2. Understand the sentences of the present continuous passive voice such as “Much is being done to protect wildlife.” and the inverted sentence “Only when we learn to exist in harmony with nature can we stop being a threat to wildlife and to our planet.”3. Enhance the awareness of protecting wildlife.4. Cultivate the reading methods according to different materials.1. Read quickly to get the main ideas and the purpose of going to Tibetan; read carefully to understand what the author see and think.2. Understand the sentences of the present continuous passive voice such as “Much is being done to protect wildlife.” and the inverted sentence “Only when we learn to exist in harmony with nature can we stop being a threat to wildlife and to our planet.”3. Cultivate the reading methods according to different materials.Step 1 Leading-inWatch a video about elephants and whales and then ask:Why are they endangered ? They are killed/hunted
學(xué)習(xí)目標(biāo)國(guó)旗下講話發(fā)言稿
每一個(gè)同學(xué)都應(yīng)正確評(píng)估自己，在把握自己實(shí)力的基礎(chǔ)上，找準(zhǔn)自己在班級(jí)的位置，給自己確立一個(gè)通過(guò)努力能夠?qū)崿F(xiàn)的目標(biāo)，制定出具體的、階段性的奮斗目標(biāo)，如確立自己的期中考試目標(biāo)、二年后的會(huì)考目標(biāo)、三年后的高考目標(biāo)，并把目標(biāo)記下來(lái)，時(shí)時(shí)提醒自己，時(shí)時(shí)鞭策自己，因?yàn)槎旰蟮臅?huì)考是同學(xué)們必須面對(duì)的，是能否拿到高中畢業(yè)證，三年后的高考決定同學(xué)們考上什么樣的大學(xué)。
高效課堂教學(xué)培訓(xùn)個(gè)人心得體會(huì)八篇
一是教師講得多，學(xué)生學(xué)得少。 學(xué)生是課堂教學(xué)的主體，這是提教師們經(jīng)常用說(shuō)到的課改理念，但在實(shí)際的教學(xué)中確并沒(méi)有有效貫徹，許多教師在上課時(shí)還是“滿堂灌”，一講到底。要發(fā)揮學(xué)生的主體作用，就必須讓學(xué)生參與到學(xué)習(xí)中來(lái)自主的學(xué)習(xí)，就必須保證學(xué)生有學(xué)習(xí)思考的時(shí)間和空間，可這種方式課堂基本被教師霸占，學(xué)和理被動(dòng)的接受，要本就不能主動(dòng)的學(xué)習(xí)。洋思中學(xué)的實(shí)踐證明，課本上的知識(shí)有百分之八十是學(xué)生通過(guò)自學(xué)能學(xué)會(huì)的，根本就不需要教師多講，并對(duì)課堂教學(xué)作出了規(guī)定，一節(jié)課教師純講時(shí)間不超過(guò)10分鐘。我校也曾要求教師不能滿堂講，把講授時(shí)間控制在25分鐘，提倡引導(dǎo)學(xué)生自主學(xué)習(xí)，但效果不明顯。要發(fā)揮學(xué)生學(xué)習(xí)的主體作用，就必須從引導(dǎo)學(xué)生預(yù)習(xí)、鼓勵(lì)課堂展示、保證當(dāng)堂訓(xùn)練時(shí)間和進(jìn)行課堂檢測(cè)這幾個(gè)環(huán)節(jié)上多下功夫。在課堂要做到“三講三不講”，“三講”即：講核心的問(wèn)題，講學(xué)生思路和方法，講知識(shí)缺陷和易混易錯(cuò)知識(shí)，“三不講”即：學(xué)生會(huì)了的不講，學(xué)生能自學(xué)會(huì)的不講，講了學(xué)生也不會(huì)的不講。
關(guān)于數(shù)學(xué)課的國(guó)旗下講話（老師講話）
老師們，同學(xué)們，早上好！今天我在國(guó)旗下講話的題目是《玩轉(zhuǎn)數(shù)學(xué)，你能做到》。怎么想到要用“玩轉(zhuǎn)”這詞呢？因?yàn)槲铱吹浆F(xiàn)在已很少有同學(xué)能以愉悅的心情對(duì)待數(shù)學(xué)的學(xué)習(xí)，若任由這種壓抑持續(xù)，你會(huì)發(fā)現(xiàn)，靈感會(huì)逐漸枯竭，也會(huì)失去對(duì)未知探索的激情。我們真的可以做得更好些。可以在以下幾方面做些嘗試。1、重視自學(xué)。因?yàn)樽詫W(xué)所獲得的數(shù)學(xué)知識(shí)包含了自己的理解，掌握得更牢固，理解得更深，更因?yàn)樽詫W(xué)習(xí)慣的養(yǎng)成、自學(xué)能力的提高有利于人的終生發(fā)展。數(shù)學(xué)如何自學(xué)？當(dāng)然就是看書了?？磾?shù)學(xué)書和看故事書有什么不同呢？故事書的一般方式是品味當(dāng)前的內(nèi)容，期待著后面的內(nèi)容。而看數(shù)學(xué)書的方式應(yīng)該是理解已經(jīng)看過(guò)的內(nèi)容，然后推測(cè)下面又是什么。就是你不要等書上寫出來(lái)、不要急于往下看，先看能不能自己解決問(wèn)題?？赐鏁?，還要檢驗(yàn)是否讀懂?dāng)?shù)學(xué)書。如何檢驗(yàn)？因?yàn)槲覀兊臄?shù)學(xué)書，大多數(shù)在每一節(jié)后面都給你配了題目，你只要前面看完了，后面的題目做得出來(lái)了，就基本可以告訴自己，我前面看懂了。如果你前面看了，后面這些題目都做不出來(lái)，你還得重新再去看過(guò)。不要說(shuō)，“我看過(guò)了，但是后面題目我一道都做不出來(lái)?！蹦悄闱懊婢蜎](méi)有用心去看過(guò)，我提議你要想著讀數(shù)學(xué)書，這個(gè)想著，就是一邊看一邊想著，要?jiǎng)幽X筋的看。
大班科學(xué)活動(dòng)課件教案：落下來(lái)
[活動(dòng)過(guò)程] 一、導(dǎo)入環(huán)節(jié) "這是一個(gè)沙包，請(qǐng)你仔細(xì)看，它怎么樣了？" 1、教師操作沙包從空中落下。 2、談話：在日常生活中，你見(jiàn)過(guò)什么東西落下來(lái)，它是怎么落下來(lái)的？ 3、獎(jiǎng)勵(lì)1個(gè)智慧蘋果 "你們真是一群認(rèn)真觀察、大膽表現(xiàn)的孩子，獎(jiǎng)勵(lì)你們1個(gè)智慧的蘋果。" 二、挑戰(zhàn)游戲一-----探索兩種不同的物體從同一高度同時(shí)落下有什么不同 1、猜一猜 出示沙包和小手絹，幫助幼兒理解同一高度、同時(shí)的含義。 猜一猜，它們從同一高度同時(shí)落下會(huì)怎樣？ 2、教師驗(yàn)證幼兒猜想，引導(dǎo)幼兒觀察它們下落的速度及路線。 3、教師示范在記錄紙上用符號(hào)記錄結(jié)果。 如：用圓圈代表沙包，正方代表手絹，在它們下面用自己喜歡的符號(hào)表示他們下落的樣子與速度。 4、幼兒操作記錄，教師巡回指導(dǎo)。 "你們也可以選兩樣不同的東西，讓它們從同一高度同時(shí)落下，仔細(xì)觀察它們落下時(shí)有什么不同，把看到的結(jié)果記錄下來(lái)。找一個(gè)碰不到小朋友的地方試一試。" 5、展示記錄單，學(xué)習(xí)多種記錄方式。 1）教師提問(wèn)不明白的地方，請(qǐng)問(wèn)：xx小朋友，這個(gè)表示什么意思？ 2）幼兒間提問(wèn) 你對(duì)誰(shuí)的記錄不明白，可以向老師剛才那樣提問(wèn)。 3）小結(jié)幼兒的記錄方法。 6、獎(jiǎng)勵(lì)智慧蘋果 為了表?yè)P(yáng)你們遵守規(guī)則、物歸原位的好習(xí)慣，獎(jiǎng)勵(lì)你們2個(gè)智慧的蘋果。
中班科學(xué)課件教案：落下來(lái)的物體
二、活動(dòng)計(jì)劃與反思活動(dòng)一：落下來(lái)啦（小班）活動(dòng)要求：1、對(duì)物體落下來(lái)的現(xiàn)象感興趣，有初步的探索欲望。2、學(xué)習(xí)運(yùn)用語(yǔ)言、體態(tài)動(dòng)作等表達(dá)自己的發(fā)現(xiàn)，初步嘗試記錄?；顒?dòng)準(zhǔn)備：活動(dòng)過(guò)程：1、小故事引發(fā)幼兒猜測(cè)：物體是否會(huì)落下來(lái)？以激發(fā)興趣。2、觀察材料，擺弄物體進(jìn)行感性探索體驗(yàn)：它們是不是都落下來(lái)了？3、第二次探索，比較落體的不同方式。幼兒邊玩邊交流自己所玩的物體，觀察落下來(lái)的樣子，引導(dǎo)幼兒運(yùn)用語(yǔ)言、體態(tài)動(dòng)作等表現(xiàn)自己的發(fā)現(xiàn)。4、學(xué)習(xí)記錄：觀察記錄表上貼的物體，引導(dǎo)幼兒選擇相應(yīng)物體嘗試后把該物體下落的樣子畫下來(lái)。5、延伸活動(dòng)：玩落體游戲，如“托氣球、吹羽毛”等，啟發(fā)幼兒觀察更多落體現(xiàn)象，并想辦法使其落不下來(lái)。
人教版高中數(shù)學(xué)選擇性必修二變化率問(wèn)題教學(xué)設(shè)計(jì)
導(dǎo)語(yǔ)在必修第一冊(cè)中，我們研究了函數(shù)的單調(diào)性，并利用函數(shù)單調(diào)性等知識(shí)，定性的研究了一次函數(shù)、指數(shù)函數(shù)、對(duì)數(shù)函數(shù)增長(zhǎng)速度的差異，知道“對(duì)數(shù)增長(zhǎng)” 是越來(lái)越慢的，“指數(shù)爆炸” 比“直線上升” 快得多，進(jìn)一步的能否精確定量的刻畫變化速度的快慢呢，下面我們就來(lái)研究這個(gè)問(wèn)題。新知探究問(wèn)題1 高臺(tái)跳水運(yùn)動(dòng)員的速度高臺(tái)跳水運(yùn)動(dòng)中，運(yùn)動(dòng)員在運(yùn)動(dòng)過(guò)程中的重心相對(duì)于水面的高度h(單位：m)與起跳后的時(shí)間t(單位：s)存在函數(shù)關(guān)系h(t)＝－4.9t2＋4.8t＋11.如何描述用運(yùn)動(dòng)員從起跳到入水的過(guò)程中運(yùn)動(dòng)的快慢程度呢？直覺(jué)告訴我們，運(yùn)動(dòng)員從起跳到入水的過(guò)程中，在上升階段運(yùn)動(dòng)的越來(lái)越慢，在下降階段運(yùn)動(dòng)的越來(lái)越快，我們可以把整個(gè)運(yùn)動(dòng)時(shí)間段分成許多小段，用運(yùn)動(dòng)員在每段時(shí)間內(nèi)的平均速度v ?近似的描述它的運(yùn)動(dòng)狀態(tài)。
人教版高中數(shù)學(xué)選修3離散型隨機(jī)變量及其分布列(1)教學(xué)設(shè)計(jì)
4.寫出下列隨機(jī)變量可能取的值，并說(shuō)明隨機(jī)變量所取的值表示的隨機(jī)試驗(yàn)的結(jié)果．(1)一個(gè)袋中裝有8個(gè)紅球，3個(gè)白球，從中任取5個(gè)球，其中所含白球的個(gè)數(shù)為X.(2)一個(gè)袋中有5個(gè)同樣大小的黑球，編號(hào)為1,2,3,4,5，從中任取3個(gè)球，取出的球的最大號(hào)碼記為X.(3). 在本例(1)條件下，規(guī)定取出一個(gè)紅球贏2元，而每取出一個(gè)白球輸1元，以ξ表示贏得的錢數(shù)，結(jié)果如何？[解] (1)X可取0,1,2,3.X＝0表示取5個(gè)球全是紅球；X＝1表示取1個(gè)白球，4個(gè)紅球；X＝2表示取2個(gè)白球，3個(gè)紅球；X＝3表示取3個(gè)白球，2個(gè)紅球．(2)X可取3,4,5.X＝3表示取出的球編號(hào)為1,2,3；X＝4表示取出的球編號(hào)為1,2,4；1,3,4或2,3,4.X＝5表示取出的球編號(hào)為1,2,5；1,3,5；1,4,5；2,3,5；2,4,5或3,4,5.(3) ξ＝10表示取5個(gè)球全是紅球；ξ＝7表示取1個(gè)白球，4個(gè)紅球；ξ＝4表示取2個(gè)白球，3個(gè)紅球；ξ＝1表示取3個(gè)白球，2個(gè)紅球．
人教版高中數(shù)學(xué)選修3離散型隨機(jī)變量的方差教學(xué)設(shè)計(jì)
3.下結(jié)論.依據(jù)均值和方差做出結(jié)論.跟蹤訓(xùn)練2. A、B兩個(gè)投資項(xiàng)目的利潤(rùn)率分別為隨機(jī)變量X1和X2，根據(jù)市場(chǎng)分析， X1和X2的分布列分別為X1 2% 8% 12% X2 5% 10%P 0.2 0.5 0.3 P 0.8 0.2求：(1)在A、B兩個(gè)項(xiàng)目上各投資100萬(wàn)元， Y1和Y2分別表示投資項(xiàng)目A和B所獲得的利潤(rùn)，求方差D(Y1)和D(Y2)；(2)根據(jù)得到的結(jié)論，對(duì)于投資者有什么建議？ 解：(1)題目可知，投資項(xiàng)目A和B所獲得的利潤(rùn)Y1和Y2的分布列為：Y1 2 8 12 Y2 5 10P 0.2 0.5 0.3 P 0.8 0.2所以 ;; 解：(2) 由(1)可知 ，說(shuō)明投資A項(xiàng)目比投資B項(xiàng)目期望收益要高；同時(shí) ，說(shuō)明投資A項(xiàng)目比投資B項(xiàng)目的實(shí)際收益相對(duì)于期望收益的平均波動(dòng)要更大.因此，對(duì)于追求穩(wěn)定的投資者，投資B項(xiàng)目更合適;而對(duì)于更看重利潤(rùn)并且愿意為了高利潤(rùn)承擔(dān)風(fēng)險(xiǎn)的投資者，投資A項(xiàng)目更合適.
人教版高中數(shù)學(xué)選修3離散型隨機(jī)變量的均值教學(xué)設(shè)計(jì)
對(duì)于離散型隨機(jī)變量，可以由它的概率分布列確定與該隨機(jī)變量相關(guān)事件的概率。但在實(shí)際問(wèn)題中，有時(shí)我們更感興趣的是隨機(jī)變量的某些數(shù)字特征。例如，要了解某班同學(xué)在一次數(shù)學(xué)測(cè)驗(yàn)中的總體水平，很重要的是看平均分；要了解某班同學(xué)數(shù)學(xué)成績(jī)是否“兩極分化”則需要考察這個(gè)班數(shù)學(xué)成績(jī)的方差。我們還常常希望直接通過(guò)數(shù)字來(lái)反映隨機(jī)變量的某個(gè)方面的特征，最常用的有期望與方差.二、 探究新知探究1.甲乙兩名射箭運(yùn)動(dòng)員射中目標(biāo)靶的環(huán)數(shù)的分布列如下表所示：如何比較他們射箭水平的高低呢？環(huán)數(shù)X 7 8 9 10甲射中的概率 0.1 0.2 0.3 0.4乙射中的概率 0.15 0.25 0.4 0.2類似兩組數(shù)據(jù)的比較,首先比較擊中的平均環(huán)數(shù),如果平均環(huán)數(shù)相等，再看穩(wěn)定性.假設(shè)甲射箭n次，射中7環(huán)、8環(huán)、9環(huán)和10環(huán)的頻率分別為：甲n次射箭射中的平均環(huán)數(shù)當(dāng)n足夠大時(shí)，頻率穩(wěn)定于概率，所以x穩(wěn)定于7×0.1+8×0.2+9×0.3+10×0.4=9.即甲射中平均環(huán)數(shù)的穩(wěn)定值(理論平均值)為9,這個(gè)平均值的大小可以反映甲運(yùn)動(dòng)員的射箭水平.同理，乙射中環(huán)數(shù)的平均值為7×0.15+8×0.25+9×0.4+10×0.2=8.65.