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人教版高中数学选择性必修二等差数列的概念(1)教学设计

  • 人教版高中语文必修2《荷塘月色》教案3篇

    人教版高中语文必修2《荷塘月色》教案3篇

    请问,作者究竟听到歌声没有?”学生回答:“没有。”“这里是比喻,因为这里用得是‘仿佛’一词……”对,是比喻。也就是说,作者是用歌声来比喻荷香,是吧?“但是,“荷香与歌声有什么可比的共同点吗?”“荷香与歌声都是断断续续、若有若无的。”“而且朦朦胧胧的。”“对。“荷香和歌声都是‘缕缕’的、‘渺茫’的。这是比喻。这是一种特殊的比喻,钱钟书先生把它叫做‘通感’。人们通过视觉、听觉、触觉、味觉、嗅觉等五官感知外界事物时,在一般情况下,彼此不能交错;但在特殊情况下,五官功能却能出现互相转化、彼此沟通的现象叫“通感”,也叫“移觉”。举几个例子来说明:诗人艾青曾写诗这样描绘日本著名指挥家小泽征尔:‘你的耳朵在侦察,你的眼睛在倾听……’这也是通感。又如:“那笛声里有故乡绿色平原上青草的香味,有四月的龙眼花的香味,有太阳的光明。”(郭风《叶笛》)

  • 人教版高中语文必修2《离骚》教案2篇

    人教版高中语文必修2《离骚》教案2篇

    四、品味诗歌艺术1、诗人是如何表现其品质的?运用了什么修辞手法?产生了怎样的表达效果?明确:诗句“扈江离与辟芷兮,纫秋兰以为佩”很好地体现了诗人光辉俊洁的人格。用“江离”“辟芷”“秋兰”三种香草来装饰自己,比喻自己,极其生动形象地表现了诗人自己美好的精神世界,使诗歌充满了浪漫主义气息。2、《离骚》中作者常以“香草”、“美物”来比喻自己、贤士和君王,并表达政治理想,这是《离骚》的一大艺术特色,这种方法叫做“移情法”,即不直接说出自己想说的话,而是把它寄寓于某一物上,也就是“移情于物”,这种方法在古典诗词中广泛运用,在政治不清明的时代,借用“移情”,可言难言之语,抒难抒之情。请找出相关的诗句,说说诗人是怎样运用这些比喻来表达政治理想的。

  • 人教版高中语文必修2《巴黎圣母院》教案2篇

    人教版高中语文必修2《巴黎圣母院》教案2篇

    【教学设想】一、选题设想《巴黎圣母院》是雨果的代表作,无论从思想内容还是艺术风格都有明显的浪漫主义特征:奇异曲折、扣人心弦的故事情节;妙趣横生、别出心裁的奇遇巧合;强烈鲜明的美丑、善恶对比;丰富生动、珠玑迸发、富有哲理意味的语言。通过导读,来消除学生对外国名著的畏难情绪,增加学生课外阅读的兴趣和信心;让学生整体把握作品,窥一斑而识全豹,让学生高屋建瓴,了解其旨意,以极为精确而又充满意蕴的文字,对名著的概述及精要部分做了介绍;引导学生自主探究,交流合作,培养学生的独立思考的学习惯,指点进行名著阅读的门径。作为导读课,教师应注意不可“越位”,在学生学习的过程中,教师的“导”固然重要,学生的“读”更不可或缺,应避免以“导读”来代替名著阅读。因此,《巴黎圣母院》的教学定位为基于课内,面向课外,以求达到以学带读,以读促学的目的。

  • 人教版高中语文必修2《短歌行》教案2篇

    人教版高中语文必修2《短歌行》教案2篇

    教学过程:一、导语毛泽东在《沁园春雪》俯视封建君王“惜秦皇汉武。。。只识弯弓射大雕。”但如果历史上只有一个人可以与他相提并论,这个人只能是魏武帝曹操。“滚滚长江东逝水,浪花淘尽英雄。是非成败转头空,青山依旧在,几度夕阳红。”(《三国演义》卷首词)在历史的大浪淘沙中,有多少英雄能够经得起历史的千淘万漉而流芳百世呢?曹操应该是三国时代留下了浓重一笔的人物。老师总结,并启发他们去联系:我们学过他的《观沧海》“东临碣石,以观沧海…”还有《龟虽寿》“神龟虽寿,猷有竟时。老骥伏枥,志在千里;烈士暮年,壮心不已。”《青梅煮洒论英雄》中曾和他见过,《三国演义》电视剧播出后,大家和他也就频频见面了。《三国演义》第48回“宴长江曹操赋诗”中,赤壁之战前夕,曹操和众部将一起狂饮,他四顾空阔,心中大喜,与诸将讲述自己希望收服江南的雄心壮志。

  • 人教版高中语文必修3《蜀道难》教案2篇

    人教版高中语文必修3《蜀道难》教案2篇

    【明确】“一夫当关,万夫莫开”言剑阁有易守难攻的险要形势,暗示中央朝廷的部队很不容易打进来,因而野心家可以据险发动叛乱,“化为狼与豺”,搞地方割据。如果割据势力之间出现矛盾冲突,难免要发生混战,结果必定是“杀人如麻”。诗人这番预言在十多年后就得到了证实:从上元二年到大历初即有段子璋、徐知道、崔旰等人相继发动叛乱。诗人的意图是要严防野心家发难。诗人从剑阁的险要引出对政治形势的描写。他化用西晋张载《剑阁铭》中形胜之地,匪亲勿居的语句,目的在于劝人引以为鉴戒,警惕战乱的发生,并联系当时的社会背景,揭露了蜀中豺狼的磨牙吮血,杀人如麻,这既是描写蜀道猛兽,又是影射政治黑暗的双关语句,表达了对国事的忧虑与关切,为诗篇增加了现实的内涵、深厚的意蕴。唐天宝初年,太平景象背后正潜伏着危机,后来发生的安史之乱,证明诗人的忧虑是有现实意义的。

  • 人教版高中语文必修4《李贺小传》教案

    人教版高中语文必修4《李贺小传》教案

    一、明确目标1.注意小传的写作特色,如小传的“小”以及是怎样小中见大的。2.引导学生进行综合把握和比较阅读以更好地理解课文内容,看看在写法上各自有什么不同。3.一词多义的准确知识运用二、整体感知1.解题李商隐的《李贺小传》有别于一般传记文的客观直叙,是一篇性情之文;同时也和作者的诗歌风格相异,写得朴实自然而又不乏意趣。2.本文所体现的“小传”的特点本文最大的特点在于:小传虽小,但小中有大、以小见大。其“小”在于:作者并没有全面勾勒诗人李贺的一生,对他的生平经历也记叙不多,而是选取了他生活中的若干小片段进行插叙,以小片段撑起传记的主干。此外,在篇幅上,全文寥寥数百字,语言极为精练。而其“大”又体现在:极小极短的篇幅却具有很大的容量,集叙事、议论和曲折的抒情于一体。内容浑厚,意味深长。

  • 人教版高中语文必修4《张衡传》教案

    人教版高中语文必修4《张衡传》教案

    采用明段意分段法:先逐段概括段意,然后用合并同类项法把相关联紧缩密的自然段合在一起。全文五个自然段中,二、三、四自然段讲的都是张衡取得的科学成就,自然应合为一大段。这样,就理清了文章的结构。全文可分为三个部分:(1)写张衡的品格和文才①(2)写张衡在科学技术上取得的成就(②③④)(3)写张衡的政治才干(⑤)第二部分是文章的重点,又可分为两层:一是仕途情况,以及制作浑天仪和著《灵宪》、《算图论》的情况;一是专门介绍候风地支仪。显然,后者又是第二部分的重点。作者这样处理文章的详略安排。无疑是非常正确的,因为张衡一生有多方面的才能和成就,而他在科技方面的才能和创造发明最为突出,理应成为本文记叙的重点。四、小结1.了解全文的内容和结构,掌握明段意分段法。2.了解文章的详略安排。五、作业

  • 人教版高中语文必修5《孟浩然》教案

    人教版高中语文必修5《孟浩然》教案

    【教学过程】导入:如果说唐诗是中国文学史中的一朵奇葩,那孟浩然则是点缀其上的一滴晶莹露珠,其充满魅力与特色的诗风在盛唐独树一帜,也为其在人才济济的诗史上刻下了永恒的印记。同学们能否先回忆一下,我们学过的孟浩然的诗歌有哪些?(《春晓》、《宿建德江》、《望洞庭湖赠张丞相》、《过故人庄》。)我们常说"中国古诗写胸襟,是人格美的自然流露",那么孟诗在语言和思想情感上留给你怎样的印象和感受?整体感知:本文作者闻一多先生也是一位诗人,所谓"英雄惜英雄",相同的志向与情趣使闻一多似乎带着我们在与孟浩然进行了一场心灵的对话。那么同学们在快速阅读文章之后,能否先找出作者是选择了一个怎样的角度对孟浩然评价的?(诗如其人,人如其诗。)

  • 人教版高中语文必修4《苏武传》教案

    人教版高中语文必修4《苏武传》教案

    二、课堂教学:1、学生简介背景:教师掌握:汉武帝开始对匈奴进行长期的讨伐战争,其中取得了三次具有决定意义的胜利,时间为公元前127年、前121年、前119年。匈奴的威势大大削弱之后,表示愿意与汉讲和,但双方矛盾还是根深蒂固。所以,到公元前100年,苏武出使匈奴时,却被扣留,并迫使他投降。《苏武传》集中叙写了苏武出使匈奴被扣留期间的事迹,热烈颂扬了他在敌人面前富贵不能淫,贫贱不能移,威武不能屈,饥寒压不倒,私情无所动的浩然正气,充分肯定了他坚毅忠贞,大义凛然,视死如归的民族气节。2、作者介绍:班固(32——92年),字孟坚,扶风安陵(今陕西咸阳市东)人。东汉著名的史学家。《后汉书·班固传》称他“年九岁,能属文,诵诗赋。及长,遂博贯载籍,九流百家之言,无不穷究。所学无常师,不为章句,举大义而已”。其父班彪曾续司马迁《史记》作《史记后传》,未成而故。

  • 人教版高中历史必修3从蒸汽机到互联网教案

    人教版高中历史必修3从蒸汽机到互联网教案

    (2)根据材料二与所学知识,从经济、政治、思想文化三个方面,分析欧洲近代科技迅速发展的原因。答:资本主义工商业的成长刺激了对技术的需求,为近代科技的发展提供了工具和手段;资产阶级革命为资本主义发展、科技进步开辟了道路;人文主义和理性精神解放了思想,推动近代科技迅速发展。(如答出其它原因,言之有理,可酌情加分,但不得超过该问总分)(3)根据材料二三与所学知识,分析清代(鸦片战争前)中国科技发展停滞的原因。答:君主专制维系腐朽制度;重农抑商、闭关政策阻碍资本主义萌芽发展;自然经济不能提供近代科技发展的物质基础;文化专制政策(或崇尚理学、八股取士、文字狱等)禁锢思想,摧残人才,阻碍科技发展。(如答出其它原因,言之有理,可酌情加分,但不得超过该问总分。)(4)简述从中西方科技发展变化的历史中得到的启示。答:评分说明:围绕生产力发展,政治经济变革、思想解放与科技发展的关系等任一角度回答,言之有理,均可酌情赋分

  • 人教版高中政治必修3体味文化教案2篇

    人教版高中政治必修3体味文化教案2篇

    3、文化是人们的一种素养(1)人的文化素养是在社会生活、实践中形成的。每个人所具有的文化素养,不是天生的,而是通过对社会生活的体验,特别是通过参与文化生活、接受知识文化教育而逐步培养出来的。文化素养的形成,离不开生活、实践和教育。人们在社会实践中创造和发展文化,也在社会生活中获得和享用文化。(2)人的文化素养表现在日常言行中。教师活动:引导学生阅读教材7页“公交车漫画”材料,并思考所反映的问题学生活动:积极思考并讨论问题教师点评:人们的精神活动离不开物质活动,人们的文化素养总是要通过他在日常生活中的言行、在社会实践活动中的表现等表现出来。我们通过观察人们的社会行为,就可以从中透视人们的精神世界和精神生活。4、文化的传承和发展离不开物质载体。社会文化和精神产品离不开物质载体,一个时代的文化和精神产品,往往是这一时代社会发展轨迹的反映。

  • 人教版高中政治必修3文化与经济、政治教案

    人教版高中政治必修3文化与经济、政治教案

    另一方面,文化素质影响公民政治权利的行使。随着民主和法制建设的发展,人们为了参与政治生活,需要更高的文化素养。文化水平提高了,人们受到的教育、接受的信息就越多,活动的领域就越广,民主法制和权利意识就越强,这些都会影响人们的民主素质和民主水平,使人们更好地进行政治参与,行使民主权利。(2)文化与国际政治相互交融,成为当代国际政治斗争的重要内容。随着世界多极化的发展,奉行霸权主义的国家,借助文化渗透的方式,竭力推销自己的价值观念,企图削弱和取代别国的民族文化,以推行强权政治。这使世界范围内反对文化霸权主义的斗争,成为当代国际政治斗争的重要内容。文化已经成为进行政治斗争、国际斗争的重要形式之一。对文化市场的争夺不仅仅是争夺票房价值、争夺经济效益,更主要的是对受众对象的争夺,对受众注意力这种特殊的稀缺资源的占有,以及在此基础上对舆论的控制与引导。因此,失去文化市场就意味着失去政治优势,意味着政治影响力的边缘化乃至萎缩或丧失。这一点,从目前世界正在进行的空前规模的“文化战争”,可以看得非常清楚。

  • 人教版高中政治必修4价值与价值观精品教案

    人教版高中政治必修4价值与价值观精品教案

    一、教材分析我们使用的是人教版第四册《生活与哲学》教材,本框属于第四单元第十二课第一框题。其内容主要分两目,第一目主要介绍价值的含义、人是社会一切财富的创造者、人的价值在于创造价值和对社会的责任和贡献,以及对一个人的评价主要看他的贡献等内容。第二目主要介绍价值观的导向作用,内容包括价值观的含义、价值观对人们认识世界和改造世界的活动具有导向作用以及对人生道路的选择具有导向作用。二、教学目标知识目标:1、识记价值和价值观的基本含义;价值观的导向作用。2、理解人的价值是什么?如何评价人的价值。3、运用所学知识及相关哲学原理,分析物的价值和人的价值的 不同,从中加深对人的价值的理解评论分析为什么对一个人的评价要看他的贡献,而不是索取了多少。

  • 新人教版高中英语必修2Unit 2 Wildlife Protection-Listening &Speaking&Talking教案

    新人教版高中英语必修2Unit 2 Wildlife Protection-Listening &Speaking&Talking教案

    Listening and Speaking introduces the topic of “how to save endangered wildlife and help wildlife in their neighborhood.” Due to the continuous deterioration of the living environment, a large number of wild animals are always facing the threat of endangered or extinction. Listening and speaking period enables students to understand the fact and reason why wild species are disappearing from the earth at an amazing speed, and realize that human beings ought to enhance the awareness of protecting wild species as soon as possible.Listening and Talking introduces the theme of " how to help wildlife in Ss’ neighborhood.". Now there are many volunteers who spontaneously protect wild animals, carry out various activities according to local conditions, and contribute their own strength to local animal protection with practical actions. Middle school students are also enthusiastic participants. They organize activities in their spare time, and take this opportunity to make friends, broaden their horizons, cultivate team spirit and communication skills. This section describes a bird watching activity organized by several middle school students of Bird watching Club. It aims to stimulate students' interest, improve their understanding of bird watching activities, and use the language structure of “being used for; in order to, so as to, to, so that, in order that ” to express the purpose for communication and discussion.1. Guide students to understand the content of listening texts in terms of using visuals to predict content.2. Cultivate students' ability to guess the meaning of words in listening; discuss with their peers how to save endangered wildlife and help wildlife in their neighborhood.3. Instruct students to use functional sentences of the dialogue such as “I am concerned about…” “what do you know about the endangered animals in…" and so on to talk about one of the endangered animals.

  • 新人教版高中英语必修2Unit 2 Wildlife Protection-Listening and Speaking教案

    新人教版高中英语必修2Unit 2 Wildlife Protection-Listening and Speaking教案

    This lesson is about wildlife protection. The listening and speaking is about “How to protect endangered wildlife ?” Faced with the facts and numbers of wildlife loss, people begin to detect the reasons, then people such as the celebrities (Prince William and Yao Ming) are calling on to protect them. So students are guided to enhance the awareness of protecting wildlife and try to take part in some volunteer activities of protecting wildlife.1. Predict the content by using visuals. 2. Learn to use the sentences such as “I’m concerned about.... But now they are in danger. I want to know the reasons/why./ What can we do to protect them ?3. Learn from the stars like Prince William and Yao Ming and enhance the awareness of protecting wildlife.4. Guide students to try to put forward the solutions to the problems of wildlife protection and then discuss them with partners and present the results of discussion.5. Master the pronunciation of stressed syllables.1. Learn from the stars like Prince William and Yao Ming and enhance the awareness of protecting wildlife.2. Guide students to try to put forward the solutions to the problems of wildlife protection and then discuss them with partners and present the results of discussion.3. Learn to use the sentences such as “I’m concerned about.... But now they are in danger. I want to know the reasons/why./ What can we do to protect them ?4. Master the pronunciation of stressed syllables.Part A Listening and Speaking--- How to save endangered wildlifeStep 1 Lead in1. Point at the pictures on P14 and ask Q1: What message do these posters share?

  • 新人教版高中英语必修2Unit 3 The Internet-Listening &Speaking&Talking教案一

    新人教版高中英语必修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.

  • 新人教版高中英语必修2Unit 4 History and Traditions-Discovering Useful Structure教案一

    新人教版高中英语必修2Unit 4 History and Traditions-Discovering Useful Structure教案一

    Step 5 Practice一、完成下列句子。1. Judy and I _______________(把车停下来(park))in an underground car Park near Trafalgar Square, where we could ______________________(让我们的车充电(charge)).2. When we finally reached the service desk to ask for audio guides, we heard it ___________ that there were no audio guides____________(留下,剩下).3. We__________________________(发现自己对...很惊讶)the large number of visitors and the amount of noise at the entrance of the National Gallery.4. Judy ____________________(眼神专注于) Van Gogh’s Sunflowers. It was hard to approach the painting as there were so many people around.5. She ____________________(把这幅画的复制品装箱(box)) to ensure that it was delivered safely.答案:1.had our car parked get our car battery charged 2. announced left 3. found ourselves very surprised 4. had her eyes fixed on 5. had a copy of the painting boxed二、用过去分词对下列句子进行改写。1. Loch Ness was surrounded by beautiful natural landscape, which made it look amazing.2. Carl and his friend stayed with a generous family who offered them bread with butter and honey that was homemade.3. The family’s ancestors once attended to soldiers who were wounded in the First World War.4. The young people were attracted by the legend of Loch Ness. They watched over the lake with their cameras and binoculars, which were positioned on the hill.答案:1. Loch Ness surrounded by beautiful natural landscape looks amazing.2. Carl and his friends stayed with a generous family who offered them homemade bread with butter and honey.3. The family’s ancestors once attended to wounded soldiers in the First World War.4. The young people attracted by the legend of Loch Ness watched over the lake with their cameras and binoculars positioned on the hill.

  • 新人教版高中英语必修2Unit 3 The Internet-Reading and Thinking教案一

    新人教版高中英语必修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.

  • 新人教版高中英语必修2Unit 4 History and Traditions-Listening&Speaking&Talking教案一

    新人教版高中英语必修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.

  • 新人教版高中英语必修2Unit 4 History and Traditions-Reading and Thinking教案一

    新人教版高中英语必修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.该句是一个复合句。该句主句为:the southern part of Ireland broke away from the UK;which resulted in the full name we have today为which引导的定语从句代指前面整句话的内容,we have today为定语从句修饰先行词name。译文:最后,在20世纪,爱尔兰南部脱离英国,这导致了我们今天有的英国的全名:大不列颠及北爱尔兰联合王国。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.该句是一个复合句。该句主句为:you will be surrounded by evidence of four different groups of people;其中Almost everywhere you go in the UK为让步状语从句; who took over at different times throughout history为定语从句修饰先行词people。译文:几乎无论你走到英国的任何地方,你都会发现历史上有四种不同的人在不同的时期统治过英国。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.该句是一个复合句。该句主句为: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.为原因状语从句;dating all the way back to Roman times为现在分词短语作定语修饰history。

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