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新课标A版必修3导学案 均匀随机数的产生

新课标A版必修3导学案 均匀随机数的产生

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3.3.2 均匀随机数的产生

姓名 班级 组别 使用时间

【学习目标】

1. 通过模拟试验,感知应用数字解决问题的方法,了解均匀随机数的概念;

2. 掌握利用计算器(计算机)产生均匀随机数的方法;自觉养成动手、动脑的良好习惯.

学习重点:掌握[0,1]上均匀随机数的产生及[a,b ]上均匀随机数的产生.学会采用适当的随机模拟法去估算几何概率. 【知识链接】

1. 如果每个事件发生的概率只与构成该事件区域的 (面积或体积)成比例,则称这样的概率模型为几何概率模型,简称几何概型.

2.几何概型的基本特点: a.试验中所有可能出现的结果(基本事件)有 ; b.每个基本事件出现的可能性 . 几何概型的概率公式: 。 【自主学习】 如何用计算器能产生[0,1]之间的均匀随机数,怎样产生[2,10] 之间的均匀随机数呢? 我们常用的是[0,1]上的均匀随机数.可以利用计算器来产生0—1之间的均匀随机数(实数), 结果是区间[0,1]内的任何一个实数,而且出现任何一个实数是 ,因此,就可以用上面的方法产生的0—1之间的均匀随机数进行随机模拟. 【合作探究】 例1 假设你家订了一份报纸,送报人可能在早上6:30—7:30之间把报纸送到你家,你父亲离开家去工作的时间在早上7:00—8:00之间,问你父亲在离开家前能得到报纸(称为事件A )的概率是多少?

例2 在如下图的正方形中随机撒一把豆子,用计算机随机模拟的方法估算圆周率的值.

3 利用随机模拟方法计算下图中阴影部分(y=1和y=x 2所围成的部分)的面积.

【课堂小结】

均匀随机数在日常生活中有着广泛的应用,我们可以利用计算器或计算机来产生均匀随机数,从而来模拟随机试验,其具体方法是:建立一个概率模型,它与某些我们感兴趣的量(如概率值、常数)有关,然后设计适当的试验,并通过这个试验的结果来确定这些量. 【当堂检测】

1.将【0,1】内的均匀随机数转化为【-3,4】内的均匀随机数,需要实施的变换是 ( )

1.*7Aa a = 1.*73B a a =+ 1.*73C a a =- 1

.*4D a a =

2.在边长为2的正方形中,有一个封闭的曲线围成的阴影区域,在正方形中随机撒入100粒豆子落入阴影区域内,那么阴影区域的面积近似为( )

5

12.

A 56.

B 53

.C D.无法计算

3.在线段AB 上任取三个点,,,321x x x 则位于1x 与3x 之间的概率是 。

4.某人对某台的电视节目作了长期的统计后得出结论:他任意时间打开电视看台节目,看不到广告的概率约为

10

9

,那么该台每小时约有 分钟插播广告

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导学案NO.1 年级:高一科目:化学主备:审核: 课题:过滤与结晶课型:复习课时 : 1 【考纲解读】 过滤和结晶使用的仪器及其应用 【自学与归纳】 分离和提纯的区别: 分离:是通过适当的方法,把混合物中的几种物质分开,每一组分都要保留下来,如原来是固体,最后还是固体 提纯:指保留混合物中的某一主要组分,把其佘杂质通过一定方法都除去 初中阶段我们学习过的物质的分离方法有:、、。 1、 原理:利用物质的差异,将液体和分离开来。 实验用品:、、、、。 注意事项: 过滤操作实验小结:斗架烧杯玻璃棒,滤纸漏斗角一样。过滤之前要静置,三靠两低不要忘。

2、和结晶 原理:利用的方法,使溶液中不断挥发而析出(晶体)的过程。 实验用品:、、、。 操作注意事项: 1)蒸发皿中的液体不能超过其容积 的。 2)蒸发过程中必须用不断搅拌,防止局部温度过高而使。 3)当出现时,应停止加热用蒸干。 4)不能把热的蒸发皿直接放在实验台上,应垫上。 结晶:(冷却热饱和溶液法) 结晶(冷却热饱和溶液法)是分离和提纯混合物的一种方法。它适用于物质的混合物,且混合物中一种物质的溶解度受温度影响变化,而另一种物质溶解度受温度影响变化的混合物的分离和提纯。 【交流与展示】粗盐的提纯 1.粗盐中含有泥沙、氯化钙、氯化镁、硫酸盐等杂质,要通过________、________、________进行提纯。以上操作都要用到玻璃棒,它们的作用依次是: (1)________溶解。 (2)引流。 (3)________________________。 2.粗盐中可溶性杂质的去除方法 杂质加入的试剂发生反应的化学方程式硫酸盐如Na2SO4 MgCl2 CaCl2 多余的__________、 适量____________ ____________ 4 1.试剂:____________; 2.步骤

2019年新人教版必修一Unit 3教案 学案设计

Teaching & Learning Plan for Unit3 Book 1 Sports and fitness A good healthy body is worth more than a crown in gold. 健康的身体贵于金皇冠。

Unit3 单元核心素养---教学目标与要求

Teaching & Learning Plan for Period I, Unit3, Book 1 Warming up & Reading Type: New Teaching Part One: Key competences(核心素养) Language abilities (语言能力) Understanding the general meaning of the new text Learning abilities (学习能力) Train the reading ability to scan for the detailed information Cultural awareness(文化意识)Learn about sports and games around the world. Thinking qualities(思维品质) Talk about sports events and sportsmanship. Part Two: Independent Learning 【自主学习·预习初探】【Pre-reading activity.读前活动】 I. Words:(tip:不要简单地抄写,而是尽量默写出下列单词) 1.健康;健壮;适合n. ___________ 2.体育场;运动n.________ 3.比赛项目;大事;公开活动n. _________ 4.滑雪的adj.;滑雪v.______ 5.vt.主办;主持n.主人;主办人;主持人____ 6.跑道;足迹;铁轨n. _______ 7.健身房;体育馆n. ___________ 8.体操(训练) n. _________ 9.流汗vt./vi.汗水;出汗n._________ 10.传奇故事/人物;传说n._______ 11.运动员;运动健n. __________ 12.高手;主人n.精通;掌握vt._____ 13.荣誉;尊敬;荣幸n. ___________ 14.荣誉;光荣;赞美n. _________ 15.奖章;勋章n. ____________ 16.冠军;优胜者n. __________ 17.锦标赛;冠军赛;冠军称号n. ____ 18.决心;决定n. __________ 19. 分离;分开;成碎片adv.________ 20.使受伤;损vt. __________ 21.受伤的;有伤的adj. ___________ 22.伤害;损伤n. __________ 23. 队长;船长;机长n. ___________ 24.优美的;优雅的adj._________ 25.力量;体力n. ___________ 26.失败;失败的人/事物n._____ 27.竞争;对抗vi. ___________ 28.假装;装扮v. _________ 29.一百万num. ___________ 30.作弊;vi.欺骗n.骗子________ 31.观众;听众n. ___________ 32.积极的;肯定的adj._________ 33.苗条的;单薄的adj. ___________ 34.日常饮食n.节食v._________ 35.相当;有点儿adv. ___________ 36.慢跑n./v. _________ 37.错误;差错n.________38.压力;重音n.强调;重读;使焦虑不安v.____

2020年新人教版必修三《Unit 3 Diverse Cultures》单元教案(附导学案)1

Unit 3 Diverse Cultures Listening and Speaking & Listen and Talking Teaching Aims 1. Students can know American diverse cultures, especially eating and introduce Chinese ethnic minority. 2. Students try to learn to record key information by taking notes. 3. Students can introduce a kind of special Chinese food or dish and its cooking method. 4. Students can express their interest and attention properly during the conversations. Important Points and Difficult Points 1. Students try to learn to record key information by taking notes. 2. Students can introduce a kind of special Chinese food or dish and its cooking method. 3. Students can express their interest and attention properly during the conversations. Teaching Procedures Part A Listening and Speaking—Talk about the origins of American food Step 1 Lead in—Small talk Read the sentence and then answer the question: What does it mean? The Chinese meaning: 世界之美源自人之多样性。 The diversity of its people reflects on: languages, races, religions, traditions, eating, clothes and so on, which make diversity of the world. Step 2 Before-listening Look at the photos of American food in Activity 1 and match them with their names. Then guess which countries’ cuisine influenced the food’s invention. Have the Ss share their views. Step 3 While-listening—Task 1

Unit3导学案

Unit3 My weekend plan导学案 一、课前三分钟: 1.一般现在时语法知识复习: 1)一般现在时表示什么? 2)我们所运用的频度副词有哪些? 3)一般现在时陈述句结构 2. Translate some sentences: 1)在周末你通常做什么? 2)我通常在周末做家庭作业. 3)你怎样去上学? 4)我经常乘公共汽车去上学. 5)你怎样到那? 二、Presentation: 1.Make a dialogue: 用所给词组小组内自编对话。watch TV read a book play chess listen to music fly kite do my homework What do you do on the weekend? I usually ... on the weekend. What does he/she do on the weekend? He/She often ... on the weekend. 2.Answer the question: What’s the date today? 3.Learn the new words: 1)visit my grandparents 例:What are you going to do ? I am going to visit my grandparents. 2)see a film 3)take a trip 4)go to the supermarket

4.结合给出的时间和所做的事情说句子 1)this morning read books 例:What are you going to do this morning? I am going to read books. 2)this afternoon play football 3)this evening clean my room 4)tonight watch TV 5)tomorrow write an-email 6)next week take pictures 7)this Saturday play chess 8)this Sunday visit grandparents 三、Practice 1.用所给词的适当形式填空。 1. I ___________ (visit) my friends this Monday. 2. She __________ (play )sport next Sunday. 3. Amy ____________(catch )butterflies this morning. 4. They __________(go) to the cinema tomorrow. 5. ____ you ___________( plant )trees this afternoon? 6. _____ John ___________( watch)TV tonight ? 7. I often ____(visit) my friends on Mondays. 8. Amy usually ______(catch) butterflies. 2.将下列单词排列成一个句子 1. what do going are afternoon to you this 2. I,going visit to am my this grandparents weekend 四、Homework: Make a plane of the National Day!

【精校版】人教版高中英语必修四第3单元阅读1学案1

人教版精品英语资料(精校版) 第三单元阅读学案 姓名:班级:组号: 【学习目标】 1.To learn some useful new words and phrases; 2.To understand this paragraph and get some reading skills. 【课前预复习】 请同学们将预习中未能解决的问题和有疑惑的问题写下来,等待课堂上与教师和同学探究解决。 Ⅰ、知识达标 (1)翻译下列单词和短语 1.This famous film was (导演) by Zhang Yimou. 2.I’ve been f to have so many good teachers. 3.The project has been set up to help the (无家可归的)people. 4Tom was too brave and (克服)a lot of difficulties last month. 5.Although he failed in the examination again , he knew the success came after many______(失败). 6.We can’t go abroad this year , we’ll have to c ourselves with a holiday in Beijing. 7.We were a that she appeared at the party . 8.Zhao Benshan is an actor whose h is known to us all. 9.That book was writte n by the o writer , which you should read. 10.I just wanted to e her but it seemed that I made her cry worse. (2)翻译下列句子 1.As Victor Hugo once said, "Laughter is the sun that drives winter from the human face", and up to now nobody has been able to do this better than Charlie Chaplin. 2. He made people laugh at a time when they felt depressed, so they could feel more content with their lives. 3. You may find it astonishing that Charlie was taught to sing as soon as he could speak and dance as soon as he could walk. 令人感到震惊的是,当查理会说话和走路的时候就被教唱歌和跳舞。 it在句中作_____ _____,____ ______才是真正的宾语。It本身无意义。 4. Unfortunately his father died, leaving the family even worse off(现在分词短语作结果状语) 5. By his teens, Charlie had, through his humour, become one of the most popular child actors in England. He could mime and act the fool doing ordinary everyday tasks. 6. As time went by, he began making films. He grew more and more popular as his charming character, the little tramp, became known throughout the world. 7. This character was a social failure but was loved for his optimism and determination to overcome all difficulties.

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