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新人教版高中英語必修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)他已被挑選出來參加運動會。The ink has not been removed from his overcoat．(否定句)墨跡還沒有從他外套上去掉。
新人教版高中英語必修2Unit 3 The Internet-Listening &Speaking＆Talking教案二
From the pictures in the text and the title--- choose the best app, we can know that this part is about how to save money by using apps.Step 2 While-listening1. Laura and Xiao Bo are talking about apps. Listen to their conversation and find out what apps they want.Xiao Bo is looking for a(n) exercise app to help him get in shape.Laura would like an app for getting rich and another that will make her grades better.2. Listen again. Are the sentences true T or false F?1). Both of Xiao Bo's apps keep track of the steps he takes._____2). Xiao Bo's second app can help him make a fitness plan._____3). Laura needs an app that will help her get discounts.______4). Laura needs an app that will add money to her bank account._______F T F T3. Listen once more and tick the sentence you hear. Underline the words used to express predictions, guesses, and beliefs.Predictions, Guesses, and Beliefs________It might help me walk more.________My guess is that it wouldn't work.________I imagine this app would help me get fit faster________I suppose that would be good.________I guess you could save a little with this app.________I suppose there would be some problems, too.________I believe this app could help me get thinner.
新人教版高中英語必修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.
新人教版高中英語必修2Unit 3 The Internet-Reading and Thinking教案二
Q5：What's Jan's next goal?Her next goal is to start a charity website to raise money for children in poor countries.Q6：What can we learn from her experiences?We learn that when we go through tough times, we can find help and support from other people online. We learn that we can feel less lonelyStep 5: While reading---rethinkingQ1: What is Jan’s attitude to the Internet ?Thankful/Grateful, because it has changed her and her life.Q2: What writing skills is used in the article ?Examples(Jan’s example, the 59-year-old man’s and the 61-year-old woman’s example)Q3: Can you get the main idea of the article ?The Internet has changed Jan’s life/Jan’s life has been changed by the Internet.Step 6 Post reading---Retell the storyMuch has been written about the wonders of the World Wide Web. There are countless articles (1)telling(tell) us how the Internet has made our lives more convenient. But the Internet has done a lot (2)more(much) for people than simply make life more convenient. People’s lives (3) have been changed(change) by online communities and social networks so far. Take Jan for example, who developed a serious illness that made her (4)stuck(stick) at home with only her computer to keep (5)her(she) company. She joined an online group (6)where 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)benefits(benefit). She was so inspired (8)that 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)for children in poor countries. Jan’s life has been (10)greatly(great) improved by the Internet.
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 3 The Internet-Reading for Writing教案二
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。 Step 8 Writing---the articleHow to stay safe in the online chat roomToday I thought I’d blog about a question that has been asked many times--- how do you stay safe online and avoid bad experiences in the online chat room ? I’m not an expert, but many years as a blogger have taught me a thing or two.First of all, there’s the golden rule of the Internet: keep out of what makes you uneasy. Don’t post comments or click on anything. Second, protect your privacy. Don’t give out too much private information like your address, phone numbers, the ID numbers, etc. Third, be polite. If you are polite to others on the Internet, you won’t be attacked in normal situation. Finally, don’t believe in others easily and never meet someone you met online alone. It is very dangerous.Have you had any bad experiences online, or do you have some good advice for staying safe? Post your comments below!Step 9 Pair workExchange drafts with a partner. Use this checklist to help your partner revise his/her draft.1. Does the writer tell the reader what he/she know about the topic ?2. Are the tips and suggestions well organised ?3. Has the writer defined the new words ?4. Does the author include examples, comparison, or explanations ?5. Does the writer end by asking readers to leave comments and/or suggestions ?6. Can you find any grammar or spelling mistakes.Step 6 HomeworkPut up your revised draft in the classroom or read it to your class.
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)絡惡霸的目標。 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3Unit 2 Morals and Virtues教學設計二
Activity 41. Students complete the task of activity 4, then teachers and students check the answers. 2. The teacher organized the students to work together and asked them to use the tables and mind maps sorted out before to retold the important choices in Lin Qiaozhi's life and their resultsStep 5 Language points1. The teacher asks the students to read the text carefully, find out the core words and long and difficult sentences in the text and draw lines, understand the use of vocabulary, and analyze the structure of long and difficult sentences. 2. The teacher explains and summarizes the usage of core vocabulary and asks the students to take notes. 3. The teacher analyzes and explains the long and difficult sentences that the students don't understand, so that the students can understand them better. Step 6 Homework1. Read the text again, in-depth understanding of the text; 2. Master the use of core vocabulary and understand the long and difficult sentences. 3. Complete relevant exercises in the guide plan. 1、通過本節(jié)內(nèi)容學習，學生是否理解和掌握閱讀文本中的新詞匯的意義與用法；2、通過本節(jié)內(nèi)容學習，學生能否結合文本特點總結林巧稚的人生原則和人格品質特征；3、通過本節(jié)內(nèi)容學習，學生能否針對人生抉擇發(fā)表自己的看法；能否全面地、客觀地、理性地看待問題，進而對道德和人性有更加深入的思考和理解。
新人教版高中英語必修3Unit 2 Morals and Virtues教學設計三
The joke set her crying.這個玩笑使她哭起來。Step 5 ReadingActivity 31. Students read the small text in activity 3. The teacher provides several small questions to check whether students understand the content of the text and the ideographic function of the -ing form in the text.*Where are those people?*Why did Dr Bethune come to China?*How did he help the Chinese people during the war?*What did Chairman Mao Zedong say about him?2. Ss try to rewrite some sentences using the -ing form. Then check the answers. When checking the answers, the teacher can ask different students to read the rewritten sentences and give comments.Answers:1. he became very interested in medicine, deciding to become a doctor.2. …after hearing that many people were dying in the war.3. Helping to organise hospitals, he taught doctors and nurses, and showed people how to give first aid./ He helped to organise hospitals, teaching doctors and nurses, and showing people how to give first aid.4. …praising Dr Bethune as a hero to be remembered in China.Step 6 PracticeActivity 4Students complete grammar activities 2 and 3 on page 69 of the workbook.Step 6 Homework1. Understand and master the functions and usage of the -ing form;2. Finish the other exercises in Using structures.1、通過本節(jié)內(nèi)容學習，學生是否理解和掌握動詞-ing形式作賓語補足語語和狀語語的功能和意義；2、通過本節(jié)內(nèi)容學習，學生能否正確使用動詞-ing形式描述人物的行為、動作及其經(jīng)歷；3、通過本節(jié)內(nèi)容學習，學生能否獨立完成練習冊和導學案中的相關練習。
新人教版高中英語必修3Unit 2 Morals and Virtues教學設計四
3.Teachers ask different groups to report the answers to the questions and ask them to try different sentence patterns.The teacher added some sentence patterns for students to refer to when writing.Step 4 Writing taskActivity 51.Write the first draft.Students first review the evaluation criteria in activity 5, and then independently complete the draft according to the outline of activity 4, the answers to the questions listed in the group discussion and report, and the reference sentence pattern.2.Change partners.The teacher guides the students to evaluate their partner's composition according to the checklist of activity 5 and proposes Suggestions for modification.3.Finalize the draft.Based on the peer evaluation, students revise their own compositions and determine the final draft.Finally, through group recommendation, the teacher selects excellent compositions for projection display or reading aloud in class, and gives comments and Suggestions.Step 5 Showing writingActivity 5T call some Ss to share their writing.Step 6 Homework1. Read the passage in this section to better understand the passage.2. Carefully understand the hierarchical structure of the article, and deeply understand the plot of the story according to the causes, process and results;3. Independently complete the relevant exercises in the guide plan.1、通過本節(jié)內(nèi)容學習，學生是否理解和掌握閱讀文本中的新詞匯的意義與用法；2、通過本節(jié)內(nèi)容學習，學生能否通過人物言行的對比分析道德故事的深層內(nèi)涵；3、通過本節(jié)內(nèi)容學習，學生能否根據(jù)故事的起因、經(jīng)過和結果來深入理解故事的情節(jié)，從而了解文章的層次結構；4、結合現(xiàn)實生活案例發(fā)表自己的見解和看法,寫一篇觀點明確、層次分明的故事評論。
新人教版高中英語必修3Unit 2 Morals and virtues教學設計一
(2) students are divided into groups according to the requirements of activity 3. Each student shares a story of personal experience or hearing-witnessing kindness, and then selects the most touching story in the group and shares it with the whole class. Before the students share the story, the teacher can instruct them to use the words and sentence patterns in the box to express. For example, the words in the box can be classified:Time order: first of all, then, after that, later, finally logical relationship :so, however, although, butTeachers can also appropriately add some transitional language to enrich students' expression:Afterwards, afterwards, at last, in the end, eventuallySpatial order: next to, far from, on the left, in front ofOtherwise, nevertheless, as a result, therefore, furthermore, in addition, as well asSummary: in a word, in short, on the whole, to sum up, in briefStep 8 Homework1. Understand the definition of "moral dilemma" and establish a correct moral view;2. Accumulate vocabulary about attitudes and emotions in listening texts and use them to express your own views;3. Complete relevant exercises in the guide plan.1、通過本節(jié)內(nèi)容學習，學生能否理解理解“道德困境”的定義；2、通過本節(jié)內(nèi)容學習，學生能否通過說話人所表達的內(nèi)容、說話的語氣、語調(diào)等來判斷其態(tài)度和情緒；3、通過本節(jié)內(nèi)容學習，學生能否針對具體的道德困境發(fā)表自己的看法和見解，能否掌握聽力理訓練中的聽力策略。
人教版高中語文必修1《再別康橋》教案2篇
教學過程：一、交流誦讀課文技巧。——節(jié)奏、韻腳、感情……（5分鐘）二、再讀確定自己的學習主題（15分）1、主題提示：音樂美、繪畫美、建筑美簡介詩歌“三美”追求聞一多先生是我國現(xiàn)代文學史上集詩人、學者和斗士于一身的重要詩人。他不但致力于新詩藝術美的探索，提出了音樂美、繪畫美、建筑美的詩歌\"三美\"的新格律詩理論主張，還努力進行創(chuàng)作實踐，寫出了許多精美詩篇。他的新格律詩理論被后人稱為現(xiàn)代詩學的奠基石，影響深遠。《詩的格律》是聞一多先生系列詩論中最重要的一篇。在這篇論文中，他系統(tǒng)的提出\"詩的實力不獨包括音樂的美（音節(jié)）、繪畫的美（詞藻），并且還有建筑的美（節(jié)的勻稱和句的均齊）。\"這一關于新詩\"三美\"主張遂成為新格律詩派的理論綱領。
人教版高中語文必修1《小狗包弟》教案2篇
巴金在十年浩劫中的大致經(jīng)歷：放棄包弟并沒有換得保全一家人，1968年8月，巴金被關進牛棚改造，隨后經(jīng)受了大字報、掛牌游街等形式的批斗。1970年，到農(nóng)村改造，掏大糞、喂豬、背稻草、種地……1972年，妻子蕭珊在飽受精神折磨后患上癌癥，病逝。巴金的兒子在勞動改造的過程中也飽受精神和肉體上的折磨，性格變得內(nèi)向抑郁，疾病纏身。此時，巴金69歲。巴金曾在《病中》一文寫道：“當姚文元拿著棒子的時候，我給關在牛棚里除了唯唯諾諾之外，敢于做過什么事情？十年間我不過是一條含著眼淚等人宰割的牛?！毙〗Y：（幻燈片12）社會是病態(tài)的社會，政治是高壓的政治，人性是扭曲的人性。十年文革，十年浩劫，給多少人留下了累累不可彌合的精神創(chuàng)傷。即使一條小狗，也可能擺脫不了“文革”無情的迫害，比如包弟，比如藝術家鄰居的小狗。
人教版高中語文必修1《大衛(wèi)·科波菲爾》教案2篇
（1）主人公大衛(wèi)·科波菲爾：大衛(wèi)·科波菲爾是《大衛(wèi)·科波菲爾》中的主人公，曾經(jīng)是個孤兒。作家描寫了他從孤兒成長為一個具有人道主義精神的資產(chǎn)階級民主主義作家的過程。他善良，誠摯，聰明，勤奮好學，有自強不息的勇氣、百折不回的毅力和積極進取的精神，在逆境中滿懷信心，在順境中加倍努力，終于獲得了事業(yè)上的成功和家庭的幸福。在這個人物身上寄托著狄更斯的道德理想。（2）《大衛(wèi)·科波菲爾》中的女性形象：在狄更斯筆下，《大衛(wèi)·科波菲爾》塑造了一個個有血有肉的人物形象，每個任務都給人留下了深刻的印象，尤其是成功塑造了不同性格、不同品德的女性形象：貝西姨婆、艾妮斯、佩葛蒂、克拉拉、朵拉、摩德斯通小姐、米考伯太太、艾米麗……貝西姨婆與摩德斯通小姐的對比，克拉拉、朵拉與艾妮斯的對比更使她們栩栩如生，對貝西姨婆、艾妮斯、佩葛蒂的愛就更深一層，對摩德斯通小姐更是恨之入骨，對朵拉、克拉拉既同情又氣憤。
人教版高中語文必修1《論語》教案2篇
【教學意圖】要了解中國傳統(tǒng)文化，必須閱讀古詩文名著名篇。但在中國文化形成過程中影響最大的是什么？可以說是儒家學說，包括《論語》這部經(jīng)典?！墩撜Z》等書是讀書人求仕做官的必修課本，是知識分子的思想言行基礎，而且影響到整個社會生活，內(nèi)容包括倫理道德、教育體制、民間習俗等方面的思想。因此，要了解中國傳統(tǒng)文化，有必要讀一讀《論語》?！窘虒W設計】因《論語》的年代已久遠，對學生而言，要理解透徹文句是比較深奧困難的，因此必須在充分理解文意的基礎上，對《論語》進行思想上的解讀?？捎山處煆摹墩撜Z》中概括出幾點與生活、現(xiàn)實相關的要點，要求學生分組進行透徹的學習和領會，如“小人與君子”、“學習的方法”、“教育的理念”等等。〖教學重點、難點〗讀《論語》知儒家思想?！冀虒W方法〗講解啟發(fā)、探究梳理、拓展延伸。
人教版高中數(shù)學選擇性必修二等差數(shù)列的前n項和公式（1）教學設計
高斯（Gauss，1777－1855），德國數(shù)學家，近代數(shù)學的奠基者之一. 他在天文學、大地測量學、磁學、光學等領域都做出過杰出貢獻. 問題1：為什么1＋100＝2＋99＝…＝50＋51呢？這是巧合嗎？試從數(shù)列角度給出解釋.高斯的算法：（1+100）+（2+99）+…+(50+51)= 101×50=5050高斯的算法實際上解決了求等差數(shù)列：1，2，3，…，n，"… " 前100項的和問題.等差數(shù)列中，下標和相等的兩項和相等.設 an＝n，則 a1＝1，a2＝2，a3＝3，…如果數(shù)列{an} 是等差數(shù)列，p，q，s，t∈N*，且 p＋q＝s＋t，則 ap＋aq＝as＋at 可得：a_1+a_100=a_2+a_99=?=a_50+a_51問題2： 你能用上述方法計算1＋2＋3＋… ＋101嗎？問題3： 你能計算1＋2＋3＋… ＋n嗎？需要對項數(shù)的奇偶進行分類討論.當n為偶數(shù)時， S_n=(1+n)+[(2+(n-1)]+?+[(n/2+(n/2-1)]=(1+n)+(1+n)…+(1+n)=n/2 (1+n) =(n(1+n))/2當n為奇數(shù)數(shù)時， n－1為偶數(shù)
人教版高中數(shù)學選擇性必修二等比數(shù)列的前n項和公式 (1) 教學設計
新知探究國際象棋起源于古代印度.相傳國王要獎賞國際象棋的發(fā)明者，問他想要什么.發(fā)明者說：“請在棋盤的第1個格子里放上1顆麥粒，第2個格子里放上2顆麥粒，第3個格子里放上4顆麥粒，依次類推，每個格子里放的麥粒都是前一個格子里放的麥粒數(shù)的2倍，直到第64個格子.請給我足夠的麥粒以實現(xiàn)上述要求.”國王覺得這個要求不高，就欣然同意了.假定千粒麥粒的質量為40克，據(jù)查，2016--2017年度世界年度小麥產(chǎn)量約為7.5億噸，根據(jù)以上數(shù)據(jù)，判斷國王是否能實現(xiàn)他的諾言.問題1：每個格子里放的麥粒數(shù)可以構成一個數(shù)列,請判斷分析這個數(shù)列是否是等比數(shù)列?并寫出這個等比數(shù)列的通項公式.是等比數(shù)列,首項是1，公比是2，共64項. 通項公式為〖a_n=2〗^(n-1)問題2：請將發(fā)明者的要求表述成數(shù)學問題.
人教版高中政治必修3聚焦文化競爭力教案2篇
教學目的：通過學生課前收集資料、課堂展示、小組討論及教師總結和講解等形式，明確文化競爭力在國際競爭中的地位，感受各國各國日益激烈的文化競爭力，探討如何提升中國特色社會主義文化的競爭力，培養(yǎng)學生的分析解決問題的能力，增強責任意識、科技意識和成才意識。教學時間：1小時課前準備：（1）學生分組收集美國、日本、英國等國家文化產(chǎn)業(yè)的發(fā)展狀況和中國文化走向世界的資料，并要求制成簡單的課件。（2）分組討論課本P23—25的三個探究問題（①運用這些資料，從物質和精神兩個方面，說明發(fā)展文化有什么意義。②你還能從社會生活的哪些現(xiàn)象中感受到一個國家的文化競爭力？③今天，中國文化為什么能夠在世界各地贏得尊重與喝彩？），組長整理好討論結果。
人教版新課標高中物理必修2曲線運動教案2篇
1、教師先演示投影：把小鋼珠放在黑墨水瓶蓋里轉一下（內(nèi)有一點點墨水），再放在半圓形有機玻璃軌道上運動并飛出，讓鋼珠在白紙上留下痕跡，同樣在3/5半圓周，4/5半圓周上運動飛出，讓學生猜測飛出方向由什么特點？（有機玻璃板說明：厚約5毫米，略小于小鋼珠直徑，圓弧半徑15厘米，MN邊稍長些，以便過MN做直線，根據(jù)半徑大小確定圓心O位置。）學生猜想：切線方向師：已知圓弧半徑為15厘米。如何驗證？請用幾何方法作圖驗證。生：標出飛出點和圓心，做圓心和飛出點的連線，用量角尺量出該連線和飛出軌跡直線的夾角，是否90度。2、再分組實驗，提醒同桌配合，小心鋼珠滾跑。實驗完畢，要求作圖驗證，并互相討論交流。3、交流和結論：師：要引導學生得出正確的科學結論：“圓周運動的物體的速度方向為該點的切線方向”，而不能直接得出“曲線運動的的物體速度方向為該點的切線方向”。
人教版新課標高中物理必修2萬有引力定律教案2篇
3.適用條件（1）萬有引力定律只適用于質點間引力大小的計算。當兩物體間的距離遠遠大于每個物體的尺寸時，物體可以看成質點，直接使用萬有引力定律計算。（模型）研究相互接觸的兩個人之間的萬有引力時，不能把他們看作質點。（2）當兩物體是質量均勻分布的球體時，它們間的引力也可直接用公式計算，但式中的r是指兩球心間距離。研究太陽和地球之間的萬有引力，可以把它們看作質量均勻的球體。當研究物體不能看成質點時，可以把物體假想分割成無數(shù)個質點，求出兩個物體上每個質點與另一物體上所有質點的萬有引力，然后求合力，這是微積分的思想。萬有引力定律產(chǎn)生于對太陽系行星運動的研究，但它對物質運動的適用性卻要廣泛得多?？梢赃@樣說，宇宙中凡有引力參與的一切復雜的現(xiàn)象，無不要歸結到這樣一條十分簡潔的定律之中，這不能不使人驚嘆宇宙萬物超乎尋常的和諧及人類理性思考所具有的統(tǒng)攝力。