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人教版高中英语必修2The Olympic Games说课稿2篇
Purpose of my design:To ask the students to do these two tasks will make the Ss predict the story of this passage. As a result, it will deepen Ss’ memory of this story because they will have their own understanding of this story.Step 3. While-readingTask 1. (Individual work _____min)Skimming: ask students to skim the text and the main ideas of each paragraph in this passage. Please read it quickly and then match the sentences with the letters.Task 2. (Individual work _____min)Scanning: read the text quickly and decide the whether the following statements are true or false and give reasons.Task 3. (Pair work _____min)Listen to the tape and fill in the banks. Then read the paragraph with expression to your partner.Task4 (individual work min)Listen to the tape again and write down the main idea in one sentence.Purpose of my design: Enable students to understand the given material better by using different reading skills. And proper competition can arouse the Ss’ interest in English learning. “Task-based” teaching method is used here todevelop the Ss’ ability of communication and also their ability of co-operation will be well trainedStep 4. Post-readingTask 1. (Individual work, pair work, group work, class work; _____min)Discussion (group of 4):1. If you were Hippomenes, would you run against Atlanta?2. Do you think Hippomenes deserved to win the race? Why or why not?Step 5. HomeworkPlease read the story again carefully after class and imagine: What will happen during the race between Hippomenes and Atlanta? Who do you think will win the race? Do you think Atlanta would marry Hippomenes? Write an end for the story with thses questions.Purpose of my design: Homework is so important and necessary for to master the knowledge they learned after class. It will check whether the Ss achieve the teaching aims.Part 5 Blackboard design
人教版高中英语必修4Women of achievement说课稿4篇
Good morning, distinguished judges:It’s my honor to talk about my teaching ideas with you. Today my topic is Women of Achievement. My presentation consists of six parts: the analysis of teaching material and student, teaching aims, key and difficult points, teaching and studying method, teaching procedures and blackboard design.First, let’s focus on the analysis of teaching material. This lesson is from New Senior English for China Student’s Book 4 Unit 1, the reading part. The main topic of the passage is the introduction of a student of Africanwildlife. After this lesson, the students will learn more information about her studying chimps in Africa, and their reading and speaking abilities can be developed as well.The next part is the analysis of students. My students are in senior high students. They have learnt English for many years, they’ve known many words and sentences, but their speaking and reading abilities are still not very good. So I will practice their speaking and reading abilities through different exercises.According to the New Standard Curriculum and the present situation, I set the teaching aims as follows: firstly, knowledge aims. Students can grasp some new words, such as worthwhile, move off. Moreover, students can understand the content of the passage and get familiar with the topic of studying chimps in wildlife. Secondly, ability aims. Students can use reading strategies such as skimming and scanning in reading process. Thirdly, emotional aims. Students can have the awareness of protecting animals and care about animals.Based on the above analysis, the key point of this lesson is to get the main idea and the detailed information from the passage; the difficult point is to talk about the wildlife protection and use reading strategies.
人教版高中英语必修5First aid说课稿6篇
In this class, I have 3 teaching aims, that is, knowledge aims, ability aims and emotion aims.1) Knowledge-Teach students new words and expressions, such as temporary, bleed,sprain choke, first aid, fall ill and so on.-Enable students to have a better understanding for some basic knowledge of first aid.2) Ability-Train students’ speaking, reading and writing abilities by different teaching activities, such as skimming, comprehending, team work, role play, retelling and writing.-Develop students’ reading strategy on how to move general idea to specific information.3) Emotion-Promote students’ awareness of giving first aid.- Cultivate students’ creativities.Then let’s come to my teaching methods and activities.III. Teaching methods and activities:To achieve different teaching aims, various kinds of teaching methods and activities will be adopted throughout this period, such as TBL (task-based learning), skimming, team work, brainstorm and others, which can offer students opportunities to fulfill tasks in which they can use language to achieve a specific outcome.IV. Teaching aids:Computer and blackboardV. Teaching important points:1) Make students have a clear mind for the structure of the text.2) Help students understand the theme of the text.VI. Teaching difficulties:1) So many new words may affect students’ understanding.2) How to get students to know about the functions of the skin and thecauses, characteristics and treatments for different degree burns,and the knowledge about giving first aid. VII. Blackboard design:
人教版高中英语必修5Great scientists说课稿4篇
通过写文章梗概，培养学生综合运用语言的能力，学习用恰当的英语描述科学家的故事。这是本课的教学难点。教师可以使用完形填空的方式来帮助学生整理语篇，从而来降低难度。本课的教学重点的突破方法是：在阅读前，让学生初步了解得出科学观点所需要的基本程序，从而轻松而自然地导入文章的阅读；在阅读过程中，由易到难设计快速阅读和精读的问题，层层推进各种阅读活动，让学生对阅读内容从整体感知到细节理解，最后深层读懂整篇文章，同时加强阅读策略的指导，让每个学生都主动参与课堂教学活动，最终达到提高阅读能力的目的。Step 4 Post-readingGroup Activities四人小组共同合作，在老师的适当指导下，就以下2个问题展开讨论，让学生就所知、所学、所感和所想融入话题，然后抽若干同学代表作小组发言。1. What do you think about John Snow, and what should we learn from him?2. Cholera was 19th century disease, which two diseases are similar to cholera today? Why?
人教版高中英语必修5Life in the Future说课稿5篇
Good afternoon, everyone. It’s my great pleasure to be here sharing my lesson with you. The content of my lesson is Senior English for China Book5 Unit 3 Life in the Future. I’ll be ready to begin this lesson from six parts: Analysis of the teaching material, Analysis of the students, Teaching aims and important and difficult points, Teaching methods and aids, Teaching procedures, and Blackboard design. First, let me talk about the teaching material.Part 1 Analysis of the Teaching Material:This unit is about what human beings’ life will be like in about one thousand years. By studying of this unit, we’ll Enable the students to know the changes in humans’ life and some new inventions bringing about the change and develop the interest in science. This lesson plays an important part in the English teaching in this unit. This is an important lesson in Book Five. From this lesson, it starts asking the Ss to grasp contents of each passage. Therefore, this lesson is in the important position of the teaching material. If the Ss can learn it well, it will be helpful to make the Ss learn the rest of this unit.Part 2 Analysis of the SsAs Senior2 Ss, they are at different levels of English fluency, some of them have lost interest in English. So during the lesson, I arrange a variety of activities to let all of them join in to attract their interest and let them be confident and taste the joy of success.
人教版高中英语必修5Making the news说课稿4篇
今天我们来介绍一下必修五第四单元的授课方式。这个单元的题目是Making the news。应该是学生比较感兴趣的话题，学生往往对新闻工作充满好奇，所以我们可以利用这个机会多设计一些师生互动和学生互动，来激发起学习的积极性，提高学习效率。同时我们可以利用这个单元不仅帮助学生掌握语言知识，培养语言能力，同时让其了解新闻工作的重要性，培养起社会智能感。这个单元分为六个课时，它的教学目标是这样的：语言目标是掌握词汇表中的常用单词和短语，掌握倒装句的一些基本用法。 技能目标是能初步掌握约会的基本句型并在真实的场景下正确运用。新闻报道类文章的写作技能。采访的基本规范和沟通技能。情感目标是对新闻报道的客观性和真实性有更好的理解。对新闻记者的职业有更深入的了解，并能体会其工作的重要性。下面我们来介绍一下第一课时的授课方式，第一课的教学目标是这样的第一课时的教学目标语言目标:单词：Occupation, journalist, editor, photographer, curious, personality, enthusiasm
人教版高中英语必修5The United Kingdom说课稿4篇
Teaching Aims:Knowledge 1. Get the students to learn the useful new words and expressions in this section. Aims:2. Let the students learn about how the UK was formed and the four groups of invaders.1. Develop students’ reading ability and let them learn different Ability reading skills. Aims:2. Enable students to learn to talk about the United Kingdom and the Union Jack Emotional 1. Let students know more about the UK2. Develop students’ sense of cooperative learning Aims:Teaching Important Points:1. Let the students learn about the countries of the United Kingdom and the Union Jack2. Get the students to read the passage and know about how the UK was formed and the four groups of invaders.3. Have the students learn different reading skills.Teaching Difficult Ponts:1. Develop students’ reading ability.2. Enable students to talk about the United Kingdom and the Union Jack.3. Let students learn how the UK was formed geographically and historically.Teaching Methods:Showing pictures, asking, exercising, listening, reading etc.Teaching Aids:A computer,a projector and a blackboard.Teaching Procedures: 1) Show a map of the world, ask students the following questions:Where is the UK?What’s the full name of the UK?2) Ask the students work in pairs to do the quiz on Page 9.Do you want to test how many things you know about the United Kingdom? Let’s have a small test.Using the map on P9, students answer the following questions:?How many countries does the UK consist of? What are they??England is divided into three main areas. Do you know what they are? 1) Scanning (10Minutes )Let the students hold the questions asked in pre-reading and read the passagequickly and then let them do the following exercise.Join lines to the right answer.
人教版高中地理必修2绿色产品知多少说课稿
各小组派代表汇报。4、教师提出问题组织学生讨论：⑴要想了解更多的绿色食品，了解绿色食品的销售情况，我们应该怎么做？⑵要想了解广大消费者对绿色食品的态度，食用绿色食品的意义，是否懂得辨认绿色食品，以及什么样的人群对此知识最缺乏等，我们应该怎么做？组织学生汇报交流。5、做个“绿色食品”广告设计师。为你喜欢的绿色食品设计广告语，每组推荐一个。6、让学生了解绿色食品认证程序。7、绿色食品打“假”队员在行动。8、向学生介绍生态绿色食品基地。三、活动总结：通过研究、探讨，了解学生对绿色食品的态度。提问：民以食为天，吃，是一个大问题，如果你的爸爸妈妈让你到超市买牛奶、方便面等，你会选择什么样的食品？为什么？希望通过今天的学习，同学们能够做到绿色消费，也希望你们向自己的家人、向周围的了解学生对“无公害食品”、“有机食品”与“绿色食品”的认识。
人教版新课标高中物理必修1摩擦力说课稿2篇
本节课是人教社物理必修1第三章第三节的内容，编排在弹力之后。该节知识既是力学的基础，也是组成整个高中物理知识的一块“基石”，所以这节内容的教学如何引领学生自主积极地探究摩擦力产生的条件和影响因素，体验摩擦力特点规律的发生过程是本节课的重点，应高度重视本节教学过程；由于摩擦力问题的复杂性，且在具体问题中又表现出“动中有静，静中有动”，尤其静摩擦在许多情形下似乎又是“若有若无，方向不定”，因此，对于初学者也是有一定难度的。也正是由于教材内容的上述特点，本节课又易于激起学生的求知欲，易于培养学生的辩证观点，易于锤炼学生的物理素质。要充分用好该节教材内容，深入挖掘知识间的有机联系，对学生开展针对性的思维训练，进而提高学生应用物理知识解决实际问题的能力和创新思维能力。高中物理《课标》对该知识点的要求是，“通过实验认识滑动摩擦、静摩擦的规律，能用动摩擦因数计算摩擦力”。其中，对静摩擦力规律的认识应该包括最大静摩擦力。
人教版新课标高中物理必修2功率说课稿2篇
（一）、复习提问1、请说出功的计算公式及功的单位2、我们用哪个物理量表示物体运动的快慢？（二）、创设情景，引入新课1、播放多媒体素材，用起重机和一个工人搬运几百块砖比较哪一种方法好？图中的情景说明了什么问题?（教师通过所设计的情景，将学生引入怎样比较做功快慢，让学生发表自己的看法，初步知道物体做功是有快慢之分的。）（三）、进行新课1、比较做功快慢的方法播放多媒体素材并提出问题：怎样比较两个人谁做功快谁做功慢？教师启发：以前学习过要比较两物体运动的快慢，可以先确定路程再比较时间，也可以先确定时间再比较路程。在路程和时间都不同时，通过计算速度比较两物体运动的快慢。同理，要比较物体做功的快慢可采用什么方法？
人教版新课标高中物理必修2功说课稿2篇
探究一：高中阶段功的含义是什么？投影：初中九年级《物理》105页学生思考：①图中物体的势能、动能分别如何变化？②物体能量的变化和做功是否存在关系？学生:分组讨论，得出结论：如果物体的能量发生变化时，说明有力对物体做了功。教师:进行点评和小结(设计意图：对初中知识深化理论认识，并为以后功能关系的教学作准备)探究二：力对物体做功的两个要素是什么？情景再现：找体重相对悬殊的两位同学，①A同学试图抱起B同学，但没成功。②B同学抱起A同学在教室内匀速走动。学生思考：在①中，A是否对B做功？在②中，B是否对A做功？学生:分析得出做功的两要素：物体受到力的作用，并且在力的方向上发生位移.教师:让学生分别例举生活中力对物体做功和不做功的例子，（设计意图：让学生亲身参与课堂实验，烘托课堂气氛，相互协作增进同学情谊）探究三：如果物体的位移不再力的方向上，那么力是否还对物体做功？
人教版高中英语必修1Journey Down the Mekong说课稿
2. let the Ss complete the forms paragraph by paragraph. Purpose here is to help Ss to get the habit of reading a passage as a whole, and pay attention to the organization of the text, as a result the Ss will fully understand the whole passage.3. ask Ss to retell the passage with the help of the key words in the form.Since the Ss in the class are in different levels, so I let them to fill in the blank to understand the meaning of the words and phrases better. ( That’s all for the while-reading. Now let’s move to the fifth step.)Step V: Post-reading (10mins) ---DiscussionIn this part students are asked to discuss in groups and list Wang Kun’s and Wang Wei’s attitudes about the trip. After that, Ss are encouraged to express their attitudes with the whole class. Collect their answers and don’t forget to praise them even if their answers may not be perfect.In this activity, discussion provides a vivid and active learning environment for Ss to communicate in English with newly learned language items. (Finally it comes to the homework.)StepⅥ: Homework (1min)1. Ss are required to read the text again after class and figure out the meaning of some complex sentences.2. Do the exercises on P19; This can help Ss to consolidate what they’ve learnt and make preparation for the next lessonPart4. Blackboard design.（说板书设计）On the top, there is the title of this lesson. On the left, there are main ideas for each paragraph. On the right, there are some new words and expressions.Unit 3 Travel journalJourney down the MekongMain idea of each para.:Para1: deciding to take a great bike trip along the Mekong river.Para2: Different attitudes between Wang kun and Wang wei.
人教版高中英语必修2Cultural Relics说课稿2篇
Ⅲ. Analysis of the teaching material:The topic of this unit is cultural relics. Students are quite interested in topics about different cultures around the world. This is the second period of the whole unit. As a reading class, the passage mainly talks about the history of the amber room (how it was made, sent as a gift, lost and rebuilt).According to the new national curriculum, when teaching reading, much emphasis should be put on training the students’ reading skills.Ⅳ. Teaching objectives1. Language objectives:1) Students are required to master the key words and phrases occurred in the passage (e.g. amazing, decorate, belong, in return, less than etc.)2) Students are required to learn the attributive clause and acquire the sentence pattern.2. 1) Students are required to describe a certain thing by using the new sentence patterns.2) Students are required to master two kinds of reading skills—skimming and scanning, and learn to use them in their daily reading.3. 1) Students are required to know the history of the amber room.2) Students are required to appreciate cultural relics and understand the importance of protecting them.Ⅴ. Teaching important and difficult points1) the new words, phrases, and sentence pattern in the course of reading.2) Teaching difficult point: Help the students master two kinds of reading skills—skimmingand scanning and learn to apply them in daily use.Ⅵ. Teaching methods:Task-based method & Top-down model Ⅶ. Teaching aids: PPT, pictures, blackboard Ⅷ. Teaching procedure:
高中语文人教版必修二《归园田居》说课稿
一、说教材本节课选自于人教版语文必修二第二单元诗三首中的一首诗歌，它是陶渊明归隐后的作品。写的是田园之乐，实际表明的是作者不愿与世俗同流合污的心声，甘愿守着自己的拙志回归田园。学习该诗，有助于学生了解山水田园诗的特点，感受者作者不同流俗的高尚情操，同时可以培养学生初步的鉴赏古典诗歌的能力。
高中语文人教版必修三《动物游戏之谜》说课稿
科学是人类认识世界的重要工具，阅读科普说明文不仅可以启迪心智，了解更多知识。而且更够激发学生对科学的兴趣。学习这些文章要注重学生科学精神的培养，关注科学探索的过程，感受科学家在科学探索中表现的人格魅力。我们知道一些科学家就是因为阅读了相关的科普文章才对某一学科产生兴趣，从而走上成功之路的。我们在讲解的时候可以跟学生列举一些例子，让学生认识到一篇好的科普文章的重大意义。
计划供用电经济责任合同书
1.在高峰负荷时间 钢铁公司用电负荷不得超过指标 万千瓦。在电网允许情况下如负荷超过105％，其超出部分加倍收取基本电费。2.高峰时间为每天：8点30分至11点30分、18点30分至22点。3.在高峰负荷时间 供电局保证 钢铁公司用电指标 万千瓦。如果未按计划指标供电，则按减供的负荷加倍扣减当月基本电费（每天按1／30计算）。三、用电量的制约：本月应达到的用电量＝日负荷量×24×0.91×31＝万度。1.如果某钢铁公司月用电量达不到上述月用电量付电度电费。其少用电量部分以 钢铁公司上月的平均电度电价计算电度电费（不包括基本电费）。2.在 钢铁公司不超指标 万千瓦情况下，由于 供电局原因影响 钢铁公司少用电量，则按实际情况从应达到的用电量中扣减（少供电量的计算，以前3天实际平均值为准，遇休息日顺延1天），其少供部分同样以 钢铁公司上月平均电价计算电度电费，在月结算电费中扣减。四、负荷与电量计算1.用电最大需量＝ 钢铁公司受电表综合小时最大负荷×1.06.以全月每天两个高峰时间的最大需量作为结算电费的依据。2.每日高峰时间 钢铁公司最大用电负荷按下列公式考核。3.电量考核以 钢铁公司当月向供电局结算电费的电度数为准。五、本合同执行的赔、罚款电量部分在 月 日前结算完毕，其他部分均仍按正常电费结算办法执行。
计划供用电经济责任合同书
1.在高峰负荷时间 钢铁公司用电负荷不得超过指标 万千瓦。在电网允许情况下如负荷超过105％，其超出部分加倍收取基本电费。2.高峰时间为每天：8点30分至11点30分、18点30分至22点。3.在高峰负荷时间 供电局保证 钢铁公司用电指标 万千瓦。如果未按计划指标供电，则按减供的负荷加倍扣减当月基本电费（每天按1／30计算）。三、用电量的制约：本月应达到的用电量＝日负荷量×24×0.91×31＝万度。1.如果某钢铁公司月用电量达不到上述月用电量付电度电费。其少用电量部分以 钢铁公司上月的平均电度电价计算电度电费（不包括基本电费）。2.在 钢铁公司不超指标 万千瓦情况下，由于 供电局原因影响 钢铁公司少用电量，则按实际情况从应达到的用电量中扣减（少供电量的计算，以前3天实际平均值为准，遇休息日顺延1天），其少供部分同样以 钢铁公司上月平均电价计算电度电费，在月结算电费中扣减。四、负荷与电量计算1.用电最大需量＝ 钢铁公司受电表综合小时最大负荷×1.06.以全月每天两个高峰时间的最大需量作为结算电费的依据。
倾斜角与斜率教学设计人教A版高中数学选择性必修第一册
(2)l的倾斜角为90°,即l平行于y轴,所以m+1=2m,得m=1.延伸探究1 本例条件不变,试求直线l的倾斜角为锐角时实数m的取值范围.解:由题意知(m"-" 1"-" 1)/(m+1"-" 2m)>0,解得1<m<2.延伸探究2 若将本例中的“N(2m,1)”改为“N(3m,2m)”,其他条件不变,结果如何?解:(1)由题意知(m"-" 1"-" 2m)/(m+1"-" 3m)=1,解得m=2.(2)由题意知m+1=3m,解得m=1/2.直线斜率的计算方法(1)判断两点的横坐标是否相等,若相等,则直线的斜率不存在.(2)若两点的横坐标不相等,则可以用斜率公式k=(y_2 "-" y_1)/(x_2 "-" x_1 )(其中x1≠x2)进行计算.金题典例 光线从点A(2,1)射到y轴上的点Q,经y轴反射后过点B(4,3),试求点Q的坐标及入射光线的斜率.解:(方法1)设Q(0,y),则由题意得kQA=-kQB.∵kQA=(1"-" y)/2,kQB=(3"-" y)/4,∴(1"-" y)/2=-(3"-" y)/4.解得y=5/3,即点Q的坐标为 0,5/3 ,∴k入=kQA=(1"-" y)/2=-1/3.(方法2)设Q(0,y),如图,点B(4,3)关于y轴的对称点为B'(-4,3), kAB'=(1"-" 3)/(2+4)=-1/3,由题意得,A、Q、B'三点共线.从而入射光线的斜率为kAQ=kAB'=-1/3.所以,有(1"-" y)/2=(1"-" 3)/(2+4),解得y=5/3,点Q的坐标为(0,5/3).
圆与圆的位置关系教学设计人教A版高中数学选择性必修第一册
1.两圆x2+y2-1=0和x2+y2-4x+2y-4=0的位置关系是( )A.内切 B.相交 C.外切 D.外离解析:圆x2+y2-1=0表示以O1(0,0)点为圆心,以R1=1为半径的圆.圆x2+y2-4x+2y-4=0表示以O2(2,-1)点为圆心,以R2=3为半径的圆.∵|O1O2|=√5,∴R2-R1<|O1O2|<R2+R1,∴圆x2+y2-1=0和圆x2+y2-4x+2y-4=0相交.答案:B2.圆C1:x2+y2-12x-2y-13=0和圆C2:x2+y2+12x+16y-25=0的公共弦所在的直线方程是 . 解析:两圆的方程相减得公共弦所在的直线方程为4x+3y-2=0.答案:4x+3y-2=03.半径为6的圆与x轴相切,且与圆x2+(y-3)2=1内切,则此圆的方程为( )A.(x-4)2+(y-6)2=16 B.(x±4)2+(y-6)2=16C.(x-4)2+(y-6)2=36 D.(x±4)2+(y-6)2=36解析:设所求圆心坐标为(a,b),则|b|=6.由题意,得a2+(b-3)2=(6-1)2=25.若b=6,则a=±4;若b=-6,则a无解.故所求圆方程为(x±4)2+(y-6)2=36.答案:D4.若圆C1:x2+y2=4与圆C2:x2+y2-2ax+a2-1=0内切,则a等于 . 解析:圆C1的圆心C1(0,0),半径r1=2.圆C2可化为(x-a)2+y2=1,即圆心C2(a,0),半径r2=1,若两圆内切,需|C1C2|=√(a^2+0^2 )=2-1=1.解得a=±1. 答案:±1 5. 已知两个圆C1:x2+y2=4,C2:x2+y2-2x-4y+4=0,直线l:x+2y=0,求经过C1和C2的交点且和l相切的圆的方程.解:设所求圆的方程为x2+y2+4-2x-4y+λ(x2+y2-4)=0,即(1+λ)x2+(1+λ)y2-2x-4y+4(1-λ)=0.所以圆心为 1/(1+λ),2/(1+λ) ,半径为1/2 √((("-" 2)/(1+λ)) ^2+(("-" 4)/(1+λ)) ^2 "-" 16((1"-" λ)/(1+λ))),即|1/(1+λ)+4/(1+λ)|/√5=1/2 √((4+16"-" 16"(" 1"-" λ^2 ")" )/("(" 1+λ")" ^2 )).解得λ=±1,舍去λ=-1,圆x2+y2=4显然不符合题意,故所求圆的方程为x2+y2-x-2y=0.
直线与圆的位置关系教学设计人教A版高中数学选择性必修第一册
切线方程的求法1.求过圆上一点P(x0,y0)的圆的切线方程:先求切点与圆心连线的斜率k,则由垂直关系,切线斜率为-1/k,由点斜式方程可求得切线方程.若k=0或斜率不存在,则由图形可直接得切线方程为y=b或x=a.2.求过圆外一点P(x0,y0)的圆的切线时,常用几何方法求解设切线方程为y-y0=k(x-x0),即kx-y-kx0+y0=0,由圆心到直线的距离等于半径,可求得k,进而切线方程即可求出.但要注意,此时的切线有两条,若求出的k值只有一个时,则另一条切线的斜率一定不存在,可通过数形结合求出.例3 求直线l:3x+y-6=0被圆C:x2+y2-2y-4=0截得的弦长.思路分析:解法一求出直线与圆的交点坐标,解法二利用弦长公式,解法三利用几何法作出直角三角形,三种解法都可求得弦长.解法一由{■(3x+y"-" 6=0"," @x^2+y^2 "-" 2y"-" 4=0"," )┤得交点A(1,3),B(2,0),故弦AB的长为|AB|=√("(" 2"-" 1")" ^2+"(" 0"-" 3")" ^2 )=√10.解法二由{■(3x+y"-" 6=0"," @x^2+y^2 "-" 2y"-" 4=0"," )┤消去y,得x2-3x+2=0.设两交点A,B的坐标分别为A(x1,y1),B(x2,y2),则由根与系数的关系,得x1+x2=3,x1·x2=2.∴|AB|=√("(" x_2 "-" x_1 ")" ^2+"(" y_2 "-" y_1 ")" ^2 )=√(10"[(" x_1+x_2 ")" ^2 "-" 4x_1 x_2 "]" ┴" " )=√(10×"(" 3^2 "-" 4×2")" )=√10,即弦AB的长为√10.解法三圆C:x2+y2-2y-4=0可化为x2+(y-1)2=5,其圆心坐标(0,1),半径r=√5,点(0,1)到直线l的距离为d=("|" 3×0+1"-" 6"|" )/√(3^2+1^2 )=√10/2,所以半弦长为("|" AB"|" )/2=√(r^2 "-" d^2 )=√("(" √5 ")" ^2 "-" (√10/2) ^2 )=√10/2,所以弦长|AB|=√10.