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高中數(shù)學人教版必修二直線的點斜式方程教案
【教學重點】直線的點斜式方程、斜截式方程的確定．【教學難點】直線的點斜式方程、斜截式方程的確定．【教學過程】1、對特殊三角函數(shù)進行鞏固復習；表1 內(nèi)特殊三角函數(shù)值 不存在圖1 特殊三角形2、鞏固復習直線的傾斜角和斜率相關(guān)內(nèi)容；直線的傾斜角：，；直線的斜率： ， ；設(shè)點為直線l上的任意兩點，當時，
人教A版高中數(shù)學必修一用二分法求方程的近似解教學設(shè)計（2）
本節(jié)通過學習用二分法求方程近似解的的方法，使學生體會函數(shù)與方程之間的關(guān)系，通過一些函數(shù)模型的實例，讓學生感受建立函數(shù)模型的過程和方法，體會函數(shù)在數(shù)學和其他學科中的廣泛應(yīng)用，進一步認識到函數(shù)是描述客觀世界變化規(guī)律的基本數(shù)學模型，能初步運用函數(shù)思想解決一些生活中的簡單問題。課程目標1.了解二分法的原理及其適用條件.2.掌握二分法的實施步驟.3.通過用二分法求方程的近似解，使學生體會函數(shù)零點與方程根之間的聯(lián)系，初步形成用函數(shù)觀點處理問題的意識.數(shù)學學科素養(yǎng)1.數(shù)學抽象：二分法的概念；2.邏輯推理：用二分法求函數(shù)零點近似值的步驟；3.數(shù)學運算：求函數(shù)零點近似值；4.數(shù)學建模：通過一些函數(shù)模型的實例，讓學生感受建立函數(shù)模型的過程和方法，體會函數(shù)在數(shù)學和其他學科中的廣泛應(yīng)用.
人教版高中數(shù)學選擇性必修二導數(shù)的四則運算法則教學設(shè)計
求函數(shù)的導數(shù)的策略(1)先區(qū)分函數(shù)的運算特點，即函數(shù)的和、差、積、商，再根據(jù)導數(shù)的運算法則求導數(shù)；(2)對于三個以上函數(shù)的積、商的導數(shù)，依次轉(zhuǎn)化為“兩個”函數(shù)的積、商的導數(shù)計算．跟蹤訓練1 求下列函數(shù)的導數(shù)：(1)y＝x2＋log3x； (2)y＝x3·ex； (3)y＝cos xx.[解] (1)y′＝(x2＋log3x)′＝(x2)′＋(log3x)′＝2x＋1xln 3.(2)y′＝(x3·ex)′＝(x3)′·ex＋x3·(ex)′＝3x2·ex＋x3·ex＝ex(x3＋3x2)．(3)y′＝cos xx′＝?cos x?′·x－cos x·?x?′x2＝－x·sin x－cos xx2＝－xsin x＋cos xx2.跟蹤訓練2 求下列函數(shù)的導數(shù)（1）y＝tan x； （2）y＝2sin x2cos x2解析：（1）y＝tan x＝sin xcos x，故y′＝?sin x?′cos x－?cos x?′sin x?cos x?2＝cos2x＋sin2xcos2x＝1cos2x.（2）y＝2sin x2cos x2＝sin x，故y′＝cos x.例5 日常生活中的飲用水通常是經(jīng)過凈化的，隨著水的純凈度的提高，所需進化費用不斷增加，已知將1t水進化到純凈度為x%所需費用（單位：元），為c(x)=5284/(100-x) (80<x<100)求進化到下列純凈度時，所需進化費用的瞬時變化率：（1） 90% ；（2） 98%解：凈化費用的瞬時變化率就是凈化費用函數(shù)的導數(shù)；c^' (x)=〖(5284/(100-x))〗^'=(5284^’×(100-x)-"5284 " 〖(100-x)〗^’)/〖(100-x)〗^2 =(0×(100-x)-"5284 " ×(-1))/〖(100-x)〗^2 ="5284 " /〖(100-x)〗^2
人教版高中數(shù)學選擇性必修二等比數(shù)列的概念 (2) 教學設(shè)計
二、典例解析例4. 用 10 000元購買某個理財產(chǎn)品一年.（1）若以月利率0.400%的復利計息，12個月能獲得多少利息（精確到1元）？（2）若以季度復利計息，存4個季度，則當每季度利率為多少時，按季結(jié)算的利息不少于按月結(jié)算的利息（精確到10^(-5)）？分析：復利是指把前一期的利息與本金之和算作本金，再計算下一期的利息.所以若原始本金為a元，每期的利率為r ，則從第一期開始，各期的本利和a , a(1+r)，a(1+r)^2…構(gòu)成等比數(shù)列.解：（1）設(shè)這筆錢存 n 個月以后的本利和組成一個數(shù)列{a_n }，則{a_n }是等比數(shù)列，首項a_1=10^4 (1+0.400%)，公比 q=1+0.400%，所以a_12=a_1 q^11 〖=10〗^4 (1+0.400%)^12≈10 490.7.所以，12個月后的利息為10 490.7-10^4≈491（元）.解：（2）設(shè)季度利率為 r ，這筆錢存 n 個季度以后的本利和組成一個數(shù)列{b_n }，則{b_n }也是一個等比數(shù)列，首項 b_1=10^4 (1+r)，公比為1+r，于是 b_4=10^4 (1+r)^4.
人教版高中數(shù)學選擇性必修二等差數(shù)列的概念（2）教學設(shè)計
二、典例解析例3.某公司購置了一臺價值為220萬元的設(shè)備，隨著設(shè)備在使用過程中老化，其價值會逐年減少.經(jīng)驗表明，每經(jīng)過一年其價值會減少d(d為正常數(shù)）萬元.已知這臺設(shè)備的使用年限為10年，超過10年 ，它的價值將低于購進價值的5%，設(shè)備將報廢.請確定d的范圍.分析：該設(shè)備使用n年后的價值構(gòu)成數(shù)列{an}，由題意可知，an＝an－1－d (n≥2). 即：an－an－1＝－d.所以{an}為公差為－d的等差數(shù)列.10年之內(nèi)（含10年），該設(shè)備的價值不小于（220×5%=）11萬元；10年后，該設(shè)備的價值需小于11萬元．利用{an}的通項公式列不等式求解．解：設(shè)使用n年后，這臺設(shè)備的價值為an萬元，則可得數(shù)列{an}．由已知條件，得an＝an－1－d（n≥2）．所以數(shù)列{an}是一個公差為－d的等差數(shù)列.因為a1＝220－d，所以an＝220－d＋(n－1)(－d)＝220－nd. 由題意，得a10≥11，a11＜11. 即：{█("220－10d≥11" @"220－11d＜11" )┤解得19<d≤20.9所以，d的求值范圍為19<d≤20.9
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 (2) 教學設(shè)計
二、典例解析例10. 如圖，正方形ABCD 的邊長為5cm ，取正方形ABCD 各邊的中點E,F,G,H, 作第2個正方形 EFGH，然后再取正方形EFGH各邊的中點I,J,K,L，作第3個正方形IJKL ，依此方法一直繼續(xù)下去. (1) 求從正方形ABCD 開始，連續(xù)10個正方形的面積之和；(2) 如果這個作圖過程可以一直繼續(xù)下去，那么所有這些正方形的面積之和將趨近于多少？分析：可以利用數(shù)列表示各正方形的面積，根據(jù)條件可知，這是一個等比數(shù)列。解：設(shè)正方形的面積為a_1，后續(xù)各正方形的面積依次為a_2, a_(3, ) 〖…,a〗_n,…，則a_1=25,由于第k+1個正方形的頂點分別是第k個正方形各邊的中點，所以a_(k+1)=〖1/2 a〗_k,因此{a_n}，是以25為首項，1/2為公比的等比數(shù)列.設(shè){a_n}的前項和為S_n（1）S_10=(25×[1-(1/2)^10 ] )/("1 " -1/2)=50×[1-(1/2)^10 ]=25575/512所以，前10個正方形的面積之和為25575/512cm^2.(2)當無限增大時，無限趨近于所有正方形的面積和
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（2）教學設(shè)計
課前小測1．思考辨析(1)若Sn為等差數(shù)列{an}的前n項和，則數(shù)列Snn也是等差數(shù)列．( )(2)若a1>0，d<0，則等差數(shù)列中所有正項之和最大．( )(3)在等差數(shù)列中，Sn是其前n項和，則有S2n－1＝(2n－1)an.( )[答案] (1)√ (2)√ (3)√2．在項數(shù)為2n＋1的等差數(shù)列中，所有奇數(shù)項的和為165，所有偶數(shù)項的和為150，則n等于( )A．9 B．10 C．11 D．12B [∵S奇S偶＝n＋1n，∴165150＝n＋1n.∴n＝10.故選B項．]3．等差數(shù)列{an}中，S2＝4，S4＝9，則S6＝________.15 [由S2，S4－S2，S6－S4成等差數(shù)列得2(S4－S2)＝S2＋(S6－S4)解得S6＝15.]4．已知數(shù)列{an}的通項公式是an＝2n－48，則Sn取得最小值時，n為________.23或24 [由an≤0即2n－48≤0得n≤24.∴所有負項的和最小，即n＝23或24.]二、典例解析例8.某校新建一個報告廳，要求容納800個座位，報告廳共有20排座位，從第2排起后一排都比前一排多兩個座位. 問第1排應(yīng)安排多少個座位？分析：將第1排到第20排的座位數(shù)依次排成一列，構(gòu)成數(shù)列{an} ，設(shè)數(shù)列{an} 的前n項和為S_n。
幼兒園安全活動教案乘車小常識
活動目標：1、通過學習乘車小常識，增強幼兒的交通安全意識。2、激發(fā)幼兒主動關(guān)心別人，愿意做一名文明小乘客。3、在繪畫和游戲活動中體驗交通安全的重要性，從而自覺地遵守交通規(guī)則。活動準備：教學圖片、音樂《叭叭叭、汽車開來了》、A4白紙若干、油畫棒每人一盒活動過程：一、放音樂帶領(lǐng)幼兒玩開汽車的游戲，引出主題?！谝魳仿曋?，幼兒與教師一起開汽車進入課室?！靶∨笥?，剛剛我們一起開著我們的小汽車來到了我們的課室，那你們有沒有和爸爸、媽媽乘坐過公交車？——“公交車是什么樣子的，和其他車子哪里不一樣？——“公交車前排座位是留給誰做的？——“我們在乘車時需要注意什么呢？
人教部編版語文九年級上冊課外古詩詞誦讀（二）教案
課件出示：少年時指青年時期，從辛棄疾的生平看，這時的他正處于金人統(tǒng)治區(qū)內(nèi)，看到淪陷區(qū)的人們在異族的奴役之下，作為血氣方剛的愛國青年，油然而生收復失地的報國之志。因而這時的愁情也是真實存在的，那就是對淪陷區(qū)人民的同情，對國土淪喪的恥辱感，這時的愁，更多的是一種渴望收復中原、建立不世功業(yè)的志愿和動力，是昂揚而充滿激情的。2.深入思考，體會“愁”的含蓄之美（1）比較少年時登樓與而今登樓的目的有何不同？預設(shè)：少年時登樓，是為了登高望遠，抒發(fā)自己的豪情壯志。而今登樓，是為了排遣內(nèi)心的悲憤之情。（2）是什么原因使詞人“欲說還休”？預設(shè)：統(tǒng)治者處處排擠、打擊他，他處處受猜忌，所以有愁不敢說。更主要的原因是，一生抱負付之流水，鬢發(fā)蒼蒼，功業(yè)無成，而又沒有知音，無人理解。這種孤獨的愁情，跟誰訴說，說了又有什么用，這中間也包含著對南宋朝廷的無限失望。因為這種失望，所以辛棄疾“欲說還休”。
人教版高中語文必修2《就任北京大學校長之演說》說課稿3篇
（三）教學重、難點1、教學重點：結(jié)合課文，了解演講辭針對性強、條理清楚、通俗易懂、適當?shù)母星樯实忍攸c。2、教學難點：深入理解文章內(nèi)涵，聯(lián)系現(xiàn)實，體會本文的現(xiàn)實意義二、說學情高中學生在初中階段已經(jīng)接觸過演講辭了，對演講詞的特點已經(jīng)有了一些基本的知識，因此本輪的教學應(yīng)該讓他們在此基礎(chǔ)上有所提高。本文是學生在高中階段第一次接觸演講辭，有必要讓他們了解演講辭的特點及課文如何體現(xiàn)這些特點的。隨著年齡的增長，生活閱歷的增加，高中學生正逐漸形成自己對世界、對人生的看法，蔡元培先生的這篇文章能很好地激發(fā)他們對當前的高中學習和未來的大學生活進行思考。此外，學生對北大的歷史及蔡元培先生作這番演講的時代背景了解不深，應(yīng)作出補充說明。
新人教版高中英語必修2Unit 2 Wildlife Protection-Reading for Writing教案二
This lesson aims at making a poster about protecting wildlife after reading some posters. During reading students are guided to understand the content and try to summarize the posters with one sentence. Then students are guided to try to make a poster about protecting wildlife.1. Read the two posters and try to understand the summary sentences.2. Look at the two posters and try to understand what emotions they express.3. Try to summarize the features of posters4. Try to make a poster about wildlife.1. Look at the two posters and try to understand what emotions they express.2. Try to summarize the features of posters3. Try to make a poster about wildlife.Step 1 Lead inLook at the the posters on the textbook and ask:Which emotions do the posters communicate ?Step 2 Read the poster and answer the questions.1. What do you think of the animals in the poster on the left ?I think it is frightening and ugly.2. Why do we should protect the ugly animals ?All species--the good, the bad, and the ugly-- should be treated equally.The world needs all kinds--without variety, our planet cannot survive.3. Why are billions of trees being cut down every year ?To make paper for humans.4. What result will be lead to after the trees are cut down ?A lost of animal homes are being destroyed./The habitat of wildlife is being destroyed.Step 3 Find the feature of posters1. What does each poster use to stir up emotions ?On the left, it makes us a little frightened and it looks a little ugly, but it can activate our curiosity--What is it? And What is wrong with it?On the right, it makes us feel a little sad and want to protect them.
新人教版高中英語必修2Unit 2 Wildlife Protection-Discovering Useful Structure教案二
2．表示現(xiàn)階段正在進行的被動動作(該動作在說話的瞬間未必正在進行)。Many interesting experiments are being carried out these days.(說話時，并不一定正在進行)3．表示一種經(jīng)常性的被動行為，常和always，constantly 等表示頻度的副詞連用，這種用法常常帶有贊揚或厭惡的感情色彩。He is always being praised by the leader.4．表示按計劃或安排主語將要承受謂語動詞所表示的動作(僅限于少數(shù)及物動詞)。A party is being held tonight.Step 4 Special cases1.像take care of, look after, talk about, think of等動詞與介詞構(gòu)成的短語用于現(xiàn)在進行時的被動語態(tài)時, 其中的介詞不可省略。The ways to stop illegally hunting are being talked about. 2．可與部分情態(tài)動詞連用，表示對正在發(fā)生的事情的推測。She may be being punished by her mother.3．有時可表示按計劃或安排將要進行的一個被動動作。A celebration is being held this weekend for his success.4．某些表示“狀態(tài)、心理活動、存在”等的動詞，如have，want，need，love，一般不用現(xiàn)在進行時的被動語態(tài)，而常用一般現(xiàn)在時的被動語態(tài)。With the population increasing，more land is needed.5．“be＋under/in＋n.”可表示現(xiàn)在進行時的被動意義。My computer is under repair.＝My computer is being repaired.
新人教版高中英語必修2Unit 2 Wildlife Protection-Reading and Thinking教案二
The theme of this unit is human and nature, focusing on the theme of wildlife protection. Nature is a complex ecosystem, in which there are delicate balance between animals and plants. Because of the role of the food chain, the extinction of one species will produce influence, causing a series of chain reaction. Large scale extinction of species will have a serious and even irreversible impact on the ecosystem, resulting in immeasurable losses. Therefore, it is of great significance to protect wild species. To protect wild species is to protect human beings themselves. The motto of this unit is "when the buying stops, the killing can too,” which is a public service advertising slogan to protect wildlife. It tells people that every rhinoceros horn, every fur, every bowl of shark fin soup, every Ivory product, and every tiger bone product, etc. consumed by human beings, are innocent wild animals slaughtered behind them. The mission of wild aid is to ban illegal trade in endangered wildlife and mitigate climate change. It aims to educate the public to reduce the consumption demand for endangered wildlife products through public publicity and improve the awareness of environmental protection.1. Improve the awareness of wildlife protection by acquiring the knowledge of wildlife protection.2. Focus on environmental protection and protection of all lives.3. Analysis of the living environment of wild animals with appropriate thinking mode.4. Skillfully use the vocabulary and grammar knowledge of this unit to cultivate self-study ability according to the unit content5. Develop cooperative learning ability through discussion and other ways1. Enable the Ss to talk about the current situation of wild animals.2. Guide the Ss to summarize the main idea of each paragraph as well as the main idea of the text.
人教版高中語文必修3《馬嵬（其二）》教案2篇
結(jié)合歷史自古以來，江山美人歷來都是引無數(shù)英雄豪杰競折腰的，如果說英雄選擇了美人卻丟了江山，把所有罪名都歸結(jié)于“女人是禍水”。但是，紂王無道，和有了妲己有必然的聯(lián)系嗎？有人說妲己壞透了，壞透了的妲己如果不是取得紂王的信任是壞不起來的，紂王聽信了妲己的讒言，聽與不聽決定權(quán)在紂王，而不在妲己。強勢永遠在紂王一邊。再來看看西施和楊貴妃：西施是作為越國貢獻給吳國的供品來到吳王夫差的身邊的，楊貴妃更是先是李隆基的兒媳婦被看中而得寵的。所以，西施和楊貴妃這兩個可憐的女人根本沒有自己的獨立選擇，沒有獨立的愛情，如果沒有西施，就會有南施，或北施；如果沒有楊貴妃，就會有李貴妃，王貴妃，總之什么施，什么妃是不能少的，因為那是吳王和李隆基的需要。
新人教版高中英語必修2Unit 1 Cultural Heritage-Discovering Useful Structure教案二
This theme of the part is “ Describe people or things in greater detail”. Students have learned the grammar(restrictive relative clauses) in Book 1, and further review and consolidate its structure “prep+relative pronouns(which/whom)” and the relative adverbs(when, where and why), besides students should understand its form, meaning and functions. In this section, students should be able to express the grammar correctly in daily communication and in the writing. 1. Review the basic usages of relative pronouns and adverbs of attributive clauses . 2. Learn to use some special cases about restrictive relative clauses.3. Learn to write sentences with restrictive relative clauses flexibly according to the context.1. Review the basic usages of relative pronouns and adverbs of attributive clauses .2. Learn to use some special cases about restrictive relative clauses.3. Learn tow rite sentences with restrictive relative clauses flexibly according to the context.Step 1. Observe the following sentences, and mark the relative pronouns and the adverbs. 1. After listening to the scientists who had studied the problems, and citizens who lived near the dam, the government turned to the United Nations for help.2. Temples and other cultural sites were taken down piece by piece, and then moved and put back together again in a place where they were safe from the water.Step 2 PracticePlease complete these sentences with relative pronouns and relative adverbs and answer the following questions.Questions: 1. What is the head noun ?2. What relative words should be used ?3. What elements do they act in these sentences ?
新人教版高中英語必修2Unit 5 Music-Reading for Writing教案二
The Internet celebrity Gao Yifeng. Years ago, he owned 5 companies and the staffs over 1,000, but during the economy crisis, he became nothing but debt. He was so worried that his hair became white overnight. There was a time when he wanted to killed himself. But after listening to the song Start Over by Liu Huan, he decided to cheer himself up. He started a steamed bun shop and gradually became a national chain shops. Now he became successful again.Walter Haddon said, “Music is the medicine of a troubled mind.” Music contains such a pleasant and inspiring force. Music gave him courage and bravery. When he listened to the song, it made his spirit fly like a kite in the wind. Music gave him strength and brought him relief. It was the rock I leant on to become strong and to get through those hard times. I hope none of us have to go through the same kind of suffering that he did. At the same time, we all go through various periods when we feel sad or alone. During those times, music can help us in the same way that it helped him. I hope we all will somehow begin to treasure music and make it a part of our life. Thank you for your listening !5.Revise your writing each other.Does he/she explain how music has changed his/her/someone else’s life?Are some of the rhetorical devices included and used properly ?Does he/she talk about how music makes him/her/someone feel?Is the first word in each sentences capitalised?Does he/she use correct punctuation ?
新人教版高中英語必修2Unit 1 Cultural Heritage-Reading and Thinking教案二
1. This section focuses on "Understanding how a problem was solved”, which is aimed to guide students to analyze and discuss the challenges and problems faced by cultural heritage protection during the construction of Aswan Dam, as well as the solutions. On the basis of understanding, students should pay attention to the key role of international cooperation in solving problems, and attach importance to the balance and coordination between cultural heritage protection and social and economic development. Students are encouraged to face challenges actively, be good at cooperation, and make continuous efforts to find reasonable ways and means to solve problems.2. Enable students to understand the main information and text structure of the reading text;3. Motivate students to use the reading strategy "make a timeline" according to the appropriate text genre;4. Enable students to understand how a problem was solved;5. Enable students to understand the value of protecting cultural heritage by teamwork and global community;1. Guide students to pay attention to reading strategies, such as prediction, self-questioning and scanning.2. Help students sort out the topic language about protecting cultural relics and understand the narrative characteristics of "time-event" in illustrative style3. Lead students to understand the value of protecting cultural heritage by teamwork and global community;
新人教版高中英語必修2Unit 3 The Internet-Discovering Useful Structure教案二
This teaching period mainly deals with grammar “The Present Perfect Passive Voice.” To begin with, teachers should lead students to revise what they have learned about the Present Perfect Passive Voice. And then, teachers move on to stress more special cases concerning this grammar。This period carries considerable significance to the cultivation of students’ writing competence and lays a solid foundation for the basic appreciation of language beauty. The teacher is expected to enable students to master this period thoroughly and consolidate the knowledge by doing some exercises. 1. Guide students to review the basic usages of the Present Perfect Passive Voice2. Lead students to learn to use some special cases concerning the Present Perfect Passive Voice flexibly.2. Enable students to use the basic phrases structures flexibly.3. Strengthen students’ great interest in grammar learning.1. Help students to appreciate the function of the Present Perfect Passive Voice in a sentence2. Instruct students to write essays using the proper the Present Perfect Passive Voice.觀察下列句子特點，總結(jié)共同點。1．(教材P28)Much has been written about the wonders of the World Wide Web．2．(教材P28)But the Internet has done much more for people than simply make life more convenient．3．(教材P28)Many people have been helped by the club．4．(教材P28)She no longer feels lonely, and her company has become quite successful．5．(教材P32)Today I thought I’d blog about a question that has been asked many times—how do you stay safe online and avoid bad experiences on the Internet?
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-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.