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【高教版】中职数学拓展模块：2.3《抛物线》教学设计
一、教学目标(一)知识教育点使学生掌握抛物线的定义、抛物线的标准方程及其推导过程．(二)能力训练点要求学生进一步熟练掌握解析几何的基本思想方法，提高分析、对比、概括、转化等方面的能力．(三)学科渗透点通过一个简单实验引入抛物线的定义，可以对学生进行理论来源于实践的辩证唯物主义思想教育．二、教材分析1．重点：抛物线的定义和标准方程．2．难点：抛物线的标准方程的推导．三、活动设计提问、回顾、实验、讲解、板演、归纳表格．四、教学过程(一)导出课题我们已学习了圆、椭圆、双曲线三种圆锥曲线．今天我们将学习第四种圆锥曲线——抛物线，以及它的定义和标准方程．课题是“抛物线及其标准方程”．首先，利用篮球和排球的运动轨迹给出抛物线的实际意义，再利用太阳灶和抛物线型的桥说明抛物线的实际用途。
人教版高中数学选修3二项式定理教学设计
二项式定理形式上的特点(1)二项展开式有n+1项,而不是n项.(2)二项式系数都是C_n^k(k=0,1,2,…,n),它与二项展开式中某一项的系数不一定相等.(3)二项展开式中的二项式系数的和等于2n,即C_n^0+C_n^1+C_n^2+…+C_n^n=2n.(4)在排列方式上,按照字母a的降幂排列,从第一项起,次数由n次逐项减少1次直到0次,同时字母b按升幂排列,次数由0次逐项增加1次直到n次.1．判断(正确的打“√”，错误的打“×”)(1)(a＋b)n展开式中共有n项． ( )(2)在公式中，交换a，b的顺序对各项没有影响． ( )(3)Cknan－kbk是(a＋b)n展开式中的第k项． ( )(4)(a－b)n与(a＋b)n的二项式展开式的二项式系数相同． ( )[解析] (1)× 因为(a＋b)n展开式中共有n＋1项．(2)× 因为二项式的第k＋1项Cknan－kbk和(b＋a)n的展开式的第k＋1项Cknbn－kak是不同的，其中的a，b是不能随便交换的．(3)× 因为Cknan－kbk是(a＋b)n展开式中的第k＋1项．(4)√ 因为(a－b)n与(a＋b)n的二项式展开式的二项式系数都是Crn.[答案] (1)× (2)× (3)× (4)√
人教版高中数学选修3正态分布教学设计
3.某县农民月均收入服从N(500,202)的正态分布,则此县农民月均收入在500元到520元间人数的百分比约为 . 解析:因为月收入服从正态分布N(500,202),所以μ=500,σ=20,μ-σ=480,μ+σ=520.所以月均收入在[480,520]范围内的概率为0.683.由图像的对称性可知,此县农民月均收入在500到520元间人数的百分比约为34.15%.答案:34.15%4.某种零件的尺寸ξ(单位:cm)服从正态分布N(3,12),则不属于区间[1,5]这个尺寸范围的零件数约占总数的 . 解析:零件尺寸属于区间[μ-2σ,μ+2σ],即零件尺寸在[1,5]内取值的概率约为95.4%,故零件尺寸不属于区间[1,5]内的概率为1-95.4%=4.6%.答案:4.6%5. 设在一次数学考试中,某班学生的分数X~N(110,202),且知试卷满分150分,这个班的学生共54人,求这个班在这次数学考试中及格(即90分及90分以上)的人数和130分以上的人数.解:μ=110,σ=20,P(X≥90)=P(X-110≥-20)=P(X-μ≥-σ),∵P(X-μσ)≈2P(X-μ130)=P(X-110>20)=P(X-μ>σ),∴P(X-μσ)≈0.683+2P(X-μ>σ)=1,∴P(X-μ>σ)=0.158 5,即P(X>130)=0.158 5.∴54×0.158 5≈9(人),即130分以上的人数约为9人.
人教A版高中数学必修一奇偶性教学设计（2）
《奇偶性》内容选自人教版A版第一册第三章第三节第二课时;函数奇偶性是研究函数的一个重要策略,因此奇偶性成为函数的重要性质之一,它的研究也为今后指对函数、幂函数、三角函数的性质等后续内容的深入起着铺垫的作用.课程目标1、理解函数的奇偶性及其几何意义；2、学会运用函数图象理解和研究函数的性质；3、学会判断函数的奇偶性．数学学科素养1.数学抽象：用数学语言表示函数奇偶性；2.逻辑推理：证明函数奇偶性；3.数学运算：运用函数奇偶性求参数；4.数据分析：利用图像求奇偶函数；5.数学建模：在具体问题情境中，运用数形结合思想，利用奇偶性解决实际问题。重点：函数奇偶性概念的形成和函数奇偶性的判断；难点：函数奇偶性概念的探究与理解．教学方法：以学生为主体，采用诱思探究式教学，精讲多练。
人教A版高中数学必修一诱导公式教学设计（1）
一、复习回顾，温故知新1. 任意角三角函数的定义【答案】设角 它的终边与单位圆交于点 。那么（1） （2） 2.诱导公式一 ，其中， 。终边相同的角的同一三角函数值相等二、探索新知思考1：（1）.终边相同的角的同一三角函数值有什么关系?【答案】相等（2）.角 -α与α的终边 有何位置关系?【答案】终边关于x轴对称（3）.角 与α的终边 有何位置关系?【答案】终边关于y轴对称（4）.角 与α的终边 有何位置关系?【答案】终边关于原点对称思考2： 已知任意角α的终边与单位圆相交于点P(x, y),请同学们思考回答点P关于原点、x轴、y轴对称的三个点的坐标是什么?【答案】点P(x, y)关于原点对称点P1(-x, -y)点P(x, y)关于x轴对称点P2(x, -y) 点P(x, y)关于y轴对称点P3(-x, y)
人教A版高中数学必修一幂函数教学设计（2）
幂函数是在继一次函数、反比例函数、二次函数之后，又学习了单调性、最值、奇偶性的基础上，借助实例，总结出幂函数的概念，再借助图像研究幂函数的性质.课程目标1、理解幂函数的概念，会画幂函数y=x，y=x2，y=x3，y=x－1，y=x 的图象；2、结合这几个幂函数的图象，理解幂函数图象的变化情况和性质；3、通过观察、总结幂函数的性质，培养学生概括抽象和识图能力．数学学科素养1.数学抽象：用数学语言表示函数幂函数；2.逻辑推理：常见幂函数的性质；3.数学运算：利用幂函数的概念求参数；4.数据分析：比较幂函数大小；5.数学建模：在具体问题情境中，运用数形结合思想，利用幂函数性质、图像特点解决实际问题。重点：常见幂函数的概念、图象和性质；难点：幂函数的单调性及比较两个幂值的大小．
人教A版高中数学必修一基本不等式教学设计（2）
《基本不等式》在人教A版高中数学第一册第二章第2节，本节课的内容是基本不等式的形式以及推导和证明过程。本章一直在研究不等式的相关问题，对于本节课的知识点有了很好的铺垫作用。同时本节课的内容也是之后基本不等式应用的必要基础。课程目标1.掌握基本不等式的形式以及推导过程，会用基本不等式解决简单问题。2.经历基本不等式的推导与证明过程，提升逻辑推理能力。3.在猜想论证的过程中，体会数学的严谨性。数学学科素养1.数学抽象：基本不等式的形式以及推导过程；2.逻辑推理：基本不等式的证明；3.数学运算：利用基本不等式求最值；4.数据分析：利用基本不等式解决实际问题；5.数学建模：利用函数的思想和基本不等式解决实际问题，提升学生的逻辑推理能力。重点：基本不等式的形成以及推导过程和利用基本不等式求最值；难点：基本不等式的推导以及证明过程．
人教A版高中数学必修一任意角教学设计（1）
本节课选自《普通高中课程标准数学教科书-必修一》（人 教A版）第五章《三角函数》，本节课是第1课时，本节主要介绍推广角的概念,引入正角、负角、零角的定义，象限角的概念以及终边相同的角的表示法。树立运动变化的观点,并由此进一步理解推广后的角的概念。教学方法可以选用讨论法,通过实际问题，如时针与分针、体操等等都能形成角的流念,给学生以直观的印象,形成正角、负角、零角的概念,明确规定角的概念，通过具体问题让学生从不同角度理解终边相同的角,从特殊到一般归纳出终边相同的角的表示方法。A.了解任意角的概念；B.掌握正角、负角、零角及象限角的定义，理解任意角的概念；C.掌握终边相同的角的表示方法；D.会判断角所在的象限。 1.数学抽象：角的概念；2.逻辑推理：象限角的表示；3.数学运算：判断角所在象限；4.直观想象：从特殊到一般的数学思想方法；
人教A版高中数学必修一任意角教学设计（2）
学生在初中学习了 ～ ，但是现实生活中随处可见超出 ～ 范围的角.例如体操中有“前空翻转体 ”，且主动轮和被动轮的旋转方向不一致.因此为了准确描述这些现象，本节课主要就旋转度数和旋转方向对角的概念进行推广.课程目标1.了解任意角的概念.2.理解象限角的概念及终边相同的角的含义．3.掌握判断象限角及表示终边相同的角的方法．数学学科素养1.数学抽象：理解任意角的概念，能区分各类角；2.逻辑推理：求区域角；3.数学运算：会判断象限角及终边相同的角.重点：理解象限角的概念及终边相同的角的含义；难点：掌握判断象限角及表示终边相同的角的方法．教学方法：以学生为主体，采用诱思探究式教学，精讲多练。教学工具：多媒体。一、 情景导入初中对角的定义是：射线OA绕端点O按逆时针方向旋转一周回到起始位置，在这个过程中可以得到 ～ 范围内的角.但是现实生活中随处可见超出 ～ 范围的角.例如体操中有“前空翻转体 ”，且主动轮和被动轮的旋转方向不一致.
人教A版高中数学必修二简单随机抽样教学设计
知识探究（一）：普查与抽查像人口普查这样，对每一个调查调查对象都进行调查的方法，称为全面调查（又称普查）。 在一个调查中，我们把调查对象的全体称为总体，组成总体的每一个调查对象称为个体。为了强调调查目的，也可以把调查对象的某些指标的全体作为总体，每一个调查对象的相应指标作为个体。问题二：除了普查，还有其他的调查方法吗？由于人口普查需要花费巨大的财力、物力，因而不宜经常进行。为了及时掌握全国人口变动状况，我国每年还会进行一次人口变动情况的调查，根据抽取的居民情况来推断总体的人口变动情况。像这样，根据一定目的，从总体中抽取一部分个体进行调查，并以此为依据对总体的情况作出估计和判断的方法，称为抽样调查（或称抽查）。我们把从总体中抽取的那部分个体称为样本，样本中包含的个体数称为样本量。
人教A版高中数学必修一诱导公式教学设计（2）
本节主要内容是三角函数的诱导公式中的公式二至公式六，其推导过程中涉及到对称变换，充分体现对称变换思想在数学中的应用，在练习中加以应用，让学生进一步体会 的任意性；综合六组诱导公式总结出记忆诱导公式的口诀：“奇变偶不变，符号看象限”，了解从特殊到一般的数学思想的探究过程，培养学生用联系、变化的辩证唯物主义观点去分析问题的能力。诱导公式在三角函数化简、求值中具有非常重要的工具作用，要求学生能熟练的掌握和应用。课程目标1.借助单位圆，推导出正弦、余弦第二、三、四、五、六组的诱导公式，能正确运用诱导公式将任意角的三角函数化为锐角的三角函数，并解决有关三角函数求值、化简和恒等式证明问题2.通过公式的应用，了解未知到已知、复杂到简单的转化过程，培养学生的化归思想，以及信息加工能力、运算推理能力、分析问题和解决问题的能力。
新人教版高中英语必修3Unit 1 Festivals and Celebrations教学设计一
本板块的活动主题是“谈论节日活动”（Talk about festival activities），主要是从贴近学生日常生活的角度来切入“节日”主题。学生会听到发生在三个国家不同节日场景下的简短对话，对话中的人们正在参与或将要亲历不同的庆祝活动。随着全球化的进程加速，国际交流日益频繁，无论是国人走出国门还是外国友人访问中国，都已成为司空见惯的事情。因此，该板块所选取的三个典型节日场景都是属于跨文化交际语境，不仅每组对话中的人物来自不同的文化背景，对话者的身份和关系也不尽相同。1. Master the new words related to holiday: the lantern, Carnival, costume, dress(sb)up, march, congratulation, congratulate, riddle, ceremony, samba, make - up, after all. 2. To understand the origin of major world festivals and the activities held to celebrate them and the significance of these activities;3. Improve listening comprehension and oral expression of the topic by listening and talking about traditional festivals around the world;4. Improve my understanding of the topic by watching pictures and videos about different traditional festivals around the world;5. Review the common assimilation phenomenon in English phonetics, can distinguish the assimilated phonemes in the natural language flow, and consciously use the assimilation skill in oral expression. Importance:1. Guide students to pay attention to the attitude of the speaker in the process of listening, and identify the relationship between the characters;2. Inspire students to use topic words to describe the festival activities based on their background knowledge. Difficulties:In the process of listening to the correct understanding of the speaker's attitude, accurately identify the relationship between the characters.
新人教版高中英语必修3Unit 2 Morals and Virtues教学设计三
The joke set her crying.这个玩笑使她哭起来。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、通过本节内容学习，学生是否理解和掌握动词-ing形式作宾语补足语语和状语语的功能和意义；2、通过本节内容学习，学生能否正确使用动词-ing形式描述人物的行为、动作及其经历；3、通过本节内容学习，学生能否独立完成练习册和导学案中的相关练习。
新人教版高中英语必修3Unit 2 Morals and Virtues教学设计四
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、通过本节内容学习，学生是否理解和掌握阅读文本中的新词汇的意义与用法；2、通过本节内容学习，学生能否通过人物言行的对比分析道德故事的深层内涵；3、通过本节内容学习，学生能否根据故事的起因、经过和结果来深入理解故事的情节，从而了解文章的层次结构；4、结合现实生活案例发表自己的见解和看法,写一篇观点明确、层次分明的故事评论。
新人教版高中英语必修3Unit 2 Morals and virtues教学设计一
(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、通过本节内容学习，学生能否理解理解“道德困境”的定义；2、通过本节内容学习，学生能否通过说话人所表达的内容、说话的语气、语调等来判断其态度和情绪；3、通过本节内容学习，学生能否针对具体的道德困境发表自己的看法和见解，能否掌握听力理训练中的听力策略。
新人教版高中英语必修3Unit 3 Diverse Cultures教学设计三
The price is the same as(the price was)before the war.价格与战前相同。(4)定语从句中的“关系代词＋助动词be”可以省略。The ticket(that/which was)booked by his sister has been sent to him.他妹妹订的那张票已送到了他那里。Step 5 PracticeActivity 3(1) Guide students to complete the four activities in the Using Structures part of exercise book, in which activities 1 and 2 focus on ellipsis in dialogue answers, activity 3 focus on signs and headlines, two typical situations where ellipsis is used, and activity 4 focus on ellipsis in diary, an informal style.(2) Combine the examples in the above activities, ask students to summarize the omitted situations in groups, and make their own summary into a poster, and post it on the class wall after class to share with the class.(This step should give full play to the subjectivity of students, and teachers should encourage students to conclude different ellipsis phenomena according to their own understanding, they can conclude according to the different parts omitted in the sentence.)Step 6 Homework1. Understand and master the usages of ellipsis;2. Finish the other exercises in Using structures of Workbook.1、通过本节内容学习，学生是否理解和掌握省略的用法；2、通过本节内容学习，学生能否根据上下文语境或情景恢复句子中省略的成分，体会使用省略的效果；3、通过本节内容学习，学生能否独立完成练习册和导学案中的相关练习。
新人教版高中英语必修3Unit 3 Diverse Cultures教学设计二
(2)Consolidate key vocabulary.Ask the students to complete the exercises of activity 6 by themselves. Then ask them to check the answers with their partners.(The first language:Damage of the 1906 San Francisco earthquake and fire.A second language: Yunnan - one of the most diverse provinces in China).Step 5 Language points1. The teacher asks the students to read the text carefully, find out the more 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、通过本节内容学习，学生是否理解和掌握阅读文本中的新词汇的意义与用法；2、通过本节内容学习，学生能否结合文本特点了解文章的结构和作者的写作逻辑；3、通过本节内容学习，学生能否了解旧金山的城市风貌、文化特色，以及加利福尼亚州的历史，体会多元文化对美国的影响。
新人教版高中英语选修2Unit 4 Reading and thinking教学设计
【词汇精讲】highlight n.最好或最精彩的部分 vt.突出;强调;使醒目One of the highlights of the trip was seeing the Taj Mahal.这次旅行的亮点之一是参观泰姬陵。Your resume should highlight your skills and achievements.你的简历应该突出你的技能和成就。The report highlights the major problems facing society today.报告强调了当今社会所面临的主要问题。I’ve highlighted the important passages in yellow.我用黄色标出了重要段落。7.Edmonton is freezing cold in winter,with daily temperatures averaging -10 ℃.埃德蒙顿冬季寒冷,日平均气温为-10°C。【词汇精讲】freezing adj.极冷的;冰冻的Leave a basin of water outside in freezing weather.在冰冻的天气里,放一盆水在室外。It’s freezing cold outside so wear a warm coat.外面超冷的,所以穿一个暖和一点的外套吧。8.It was not until 9:30 a.m.that they finally reached the capital of Ontario,Toronto.直到上午9时30分,他们才终于到达多伦多的首府安大略省。【句式剖析】本句是一个强调句,强调的是句子的时间状语until 9:30。含有not...until...的句子的强调句为It is not until...that...,that后面的句子要用肯定形式。It was not until then that I suddenly realized nobody was happier than I was.直到那时我才突然意识到没有人比我更幸福了。
新人教版高中英语选修2Unit 3 Learning about Language教学设计
1. We'll need ten months at least to have the restaurant decorated.2.Some traditional Chinese dishes from before the Ming Dynasty are still popular today.3.My grandpa's breakfast mainly includes whole grain biscuits and a glass of milk.4.People in this area would eat nearly a kilo of cheese per week.5. We enjoyed a special dinner in a fancy restaurant where the waiters all wore attractive suits.6. He prefers this brand of coffee which, as he said, has an unusually good flavor.Key:1. at a minimum 2. prior to3. consist of4. consume5. elegant6. exceptionalStep 5：Familiarize yourself with some food idioms by matching the meaning on the right with the colored words on the left.1.Public concern for the health of farm animals has mushroomed in the UK2.Anderson may be young but he's certainly rolling to doing dough!3.George is a popular lecturer. He often peppers his speech with jokes.4.As the person to bring home the bacon, he needs to find a stable job.5 He is often regarded as a ham actor for his over emphasized facial expressions. The media reported that these companies had treated pollution as a hot potato. 6.The media reported that these companies had treated pollution as a hot potato.7.Don't worry about the test tomorrow. It's going to be a piece of cake!8. It's best to fold the swimming ring when it is as flat as a pancake.A. completely flatB. something that is very easy to do C.an issue that is hard to deal withD.to include large numbers of somethingE.to earn on e's living to support a familyF. wealthyG.to rapidly increase in numberH. an actor who performs badly, especially by over emphasizing emotions
新人教版高中英语选修2Unit 2 Learning about Language教学设计
The activity theme of this section is to design various activities around the key words in the first text. Therefore, the activities require students to pay attention to the spelling of words. On the other hand, let students grasp the meaning of words more accurately through sentences and short texts. This kind of teaching design also helps to improve the ability of using English thinking.1. Cultivating students' ability to use word formation to induce and memorize vocabulary, and the ability to use lexical chunks to express meaning.2. Guide the students to think independently and use the correct form of words to complete sentences3. Cultivate students' habit of using lexical chunks to express language completely, guide students to draw words in sentences quickly, pay attention to word collocation, so as to accumulate more authentic expressions4. Instruct students to create sentences with the chunks.1. Enable students to use the language points in the real situation or specific contexts flexibly and appropriately.2. Guiding the Ss to use unit topic words and the sentence patterns in a richer context.Step1: Think of a word that best fits each definition.1. to remember sth2.to accept, admit, or recognize sth or the truth/existence of sth3. the process of changing sth or yourself to suit a new situation4 .to make sb feel less worried or unhappy5. a strong desire to achieve sth