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)√
2.某小组有20名射手,其中1,2,3,4级射手分别为2,6,9,3名.又若选1,2,3,4级射手参加比赛,则在比赛中射中目标的概率分别为0.85,0.64,0.45,0.32,今随机选一人参加比赛,则该小组比赛中射中目标的概率为________. 【解析】设B表示“该小组比赛中射中目标”,Ai(i=1,2,3,4)表示“选i级射手参加比赛”,则P(B)= P(Ai)P(B|Ai)= 2/20×0.85+ 6/20 ×0.64+ 9/20×0.45+ 3/20×0.32=0.527 5.答案:0.527 53.两批相同的产品各有12件和10件,每批产品中各有1件废品,现在先从第1批产品中任取1件放入第2批中,然后从第2批中任取1件,则取到废品的概率为________. 【解析】设A表示“取到废品”,B表示“从第1批中取到废品”,有P(B)= 112,P(A|B)= 2/11 ,P(A| )= 1/11所以P(A)=P(B)P(A|B)+P( )P(A| )4.有一批同一型号的产品,已知其中由一厂生产的占 30%, 二厂生产的占 50% , 三厂生产的占 20%, 又知这三个厂的产品次品率分别为2% , 1%, 1%,问从这批产品中任取一件是次品的概率是多少?
(2)方法一:第一次取到一件不合格品,还剩下99件产品,其中有4件不合格品,95件合格品,于是第二次又取到不合格品的概率为4/99,由于这是一个条件概率,所以P(B|A)=4/99.方法二:根据条件概率的定义,先求出事件A,B同时发生的概率P(AB)=(C_5^2)/(C_100^2 )=1/495,所以P(B|A)=(P"(" AB")" )/(P"(" A")" )=(1/495)/(5/100)=4/99.6.在某次考试中,要从20道题中随机地抽出6道题,若考生至少答对其中的4道题即可通过;若至少答对其中5道题就获得优秀.已知某考生能答对其中10道题,并且知道他在这次考试中已经通过,求他获得优秀成绩的概率.解:设事件A为“该考生6道题全答对”,事件B为“该考生答对了其中5道题而另一道答错”,事件C为“该考生答对了其中4道题而另2道题答错”,事件D为“该考生在这次考试中通过”,事件E为“该考生在这次考试中获得优秀”,则A,B,C两两互斥,且D=A∪B∪C,E=A∪B,由古典概型的概率公式及加法公式可知P(D)=P(A∪B∪C)=P(A)+P(B)+P(C)=(C_10^6)/(C_20^6 )+(C_10^5 C_10^1)/(C_20^6 )+(C_10^4 C_10^2)/(C_20^6 )=(12" " 180)/(C_20^6 ),P(E|D)=P(A∪B|D)=P(A|D)+P(B|D)=(P"(" A")" )/(P"(" D")" )+(P"(" B")" )/(P"(" D")" )=(210/(C_20^6 ))/((12" " 180)/(C_20^6 ))+((2" " 520)/(C_20^6 ))/((12" " 180)/(C_20^6 ))=13/58,即所求概率为13/58.
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.
总体评价结果: 。(四)作业分析与设计意图这是一项基于素质教育导向,以培育学生课程核心素养为目标的整课时作业设计。第一题作业以连线题的方式呈现。学生通过连线题掌握必备基础知识,完成教材知识的 整理和分析。第二题作业以演讲提纲的方式呈现。通过该题业设计与实施,引导学生了解中国科技创 新的现状,感受自主创新的重要性,探究如何为建设创新型国家而努力。引导同学们知道国 家的创新青少年责无旁贷,增强为国家创新做贡献的责任感和使命感,增强民族自尊心和自 豪感,增强政治认同。六、单元质量检测( 一) 单元质量检测内容1.单项选择题(1)要弘扬改革创新精神,推动思想再解放、改革再深入、工作再抓实,凝聚起全面深化 改革的强大力量,在新起点上实现新突破。下列关于改革开放的认识正确的有 ( )①改革开放是强国之路②改革开放推动了全世界的发展③改革开放解决了当前中国的一切问题
2 . 内容内在逻辑第七课 《中华一 家亲》 主要介绍了我国的民族政策和解决港澳台问题的基本 方针的基础上 , 进一步阐述新中国成立以来为促进民族的繁荣我国在少数民族地 区发展上所实施的举措以及为实现祖国的统一我们所做的努力; 第八课 《中国人 中国梦》 是九年级上册最后一课 。在介绍了经济建设 、政 治建设 、文化建设 、社 会建设 、 生态文明建设等内容后 , 本课对九年级上册内容 进行了总结与升华 。第七课第一 框 “促进民族团结”主要是帮助学生了解我国的民族政策 , 为促 进民族繁荣所采取的举措及成效 , 明确维护民族团结是我们应尽的责任 。第二框 “维护祖国统一 ”主要是帮助学生理解维护祖国统一 、 反对分裂的原 因及做法 , 帮助学生了解 “一 国两制”的基本内容及现实意义 , 特别是关于台湾 问题的解决 , 让学生明确维护国家统一是每个公民的神圣职责 。
(三) 学情分析初中阶段的学生正处在世界观、人生观、价值观形成的关键时期, 加强对这 一年龄段学生的法治教育尤为重要。随着学生生活范围的延展和能力的提升, 本课程的学习逐步扩展到国家和社 会。从生活经验看, 大部分中学生有参与班干竞选、给班级或学校提建议的经验。 从知识储备看, 学生在八年级下册已经学习了我国的根本政治制度、基本政治制 度, 故学习本课知识已经具备了一定的理论基础。但如何理解民主, 还需要通过 不断的学习来建立认同。另外七八年级也打下了一定的法律基础, 学生已经初步 了解个人的成长和参与社会生活必备的基本法律常识。本单元第三课通过介绍社会主义民主制度的确立过程, 中国特色社会主义民 主的本质和实现方式, 引领学生理解社会、参与公共生活, 帮助学生认同民主的 价值,引导学生做负责任的公民。第四课阐释法治是什么、回顾法治中国的历程、 明确为什么选择中国特色社会主义法治道路、怎样建设法治中国及初中生在法治 中国的建设中应扮演怎么样的角色等问题, 帮助学生认识法治中国的进程, 引导 学生正确看待法治中国建设进程中出现或可能出现的问题, 进而把法治作为基本 的生活方式,在实践中培育法治观念。
参考答案:(1) 人与自然和谐共生。(2) ①国家:加强立法,完善资源环境方面的法律法规,严格执法;坚持保护环境、节 约资源的基本国策,坚持可持续发展战略;处理好经济发展与环境保护的关系,走绿色、 循环、低碳发展之路;建设资源节约型、环境友好型社会。②企业:增强社会责任意识, 依法履行保护环境的义务,落实节能减排政策;加大环保资金的投入力度;依靠科技创 新,提高资源利用率。③个人:学习和宣传环保知识,践行低碳生活方式;从身边小事 做起,落实环保行动;积极向有关部门献计献策:勇于同各种破坏生态环境的行为作斗 争等。(3) 有一种习惯叫光盘,有一种意识叫珍惜,有一种美德叫节约;我们要尊重汗水和创 造,弘扬中华民族勤俭节约的传统美德等。(言之有理即可)(4) 答案示例:王经理,您好。我是“光盘行动”的志愿者,看到咱们酒店的餐饮浪费 比较严重,冒昧给您提个建议,您能否让服务员在点菜时提醒顾客要适量(为顾客提供 “半份菜”“小份菜”),以减少浪费,希望您能采纳。
在校主修课程:《宏微观经济学》、《管理学原理》、《战略管理》、《财务会计》、《成本与管理会计》、《企业财务报表分析》、《投资银行理论与实务》、《公司理财》、《高级财务管理》等学分绩点情况:3.5/4,专业排名第六职业证书:初级会计证,英语六级证书,普通话二甲证书,20xx年9月xx咨询业协业咨询师;职业技能:珠算能手六级,熟悉财务软件,熟练操作office软件,熟悉企业报税流程;获奖证书:20xx三创赛电子商务比赛项目二等奖,20xx年三创赛电子商务比赛项目一等奖
一、工作职责 1、负责体育部干事对各项工作的培训,以及适时正向引导干事,调整他们对学生会工作,对学习,对生活的积极性。 2、引导广大同学积极参加体育锻炼,开展各种体育活动、体育竞赛,活跃同学们的体育生活。 3、各项比赛裁判及工作人员的培训工作。
【教学内容】一、农业资源的综合开发1、目的和意义(1) 目的:为了充分、合理地利用丘陵山区丰富的自然资源,使山区日益繁荣。(2) 意义:有利于低山丘陵山地某一种自然资源的多方面利用和多层次利用。2、开发模式(1)走立体化农业的道路①发展立体化农业的原因:南方低山丘陵区的地形地貌多样,山地与平原的比例为4:1;人口密度大,人均耕地少,可耕地后备资源不足,人多地少的矛盾突出,生态环境状况脆弱。②千烟洲的立体农业生产体系土地利用结构:土地利用方式多样化(林地、草地、耕地、水面甚至家庭院落都已被利用);农业生产类型多样(林业、畜牧业、渔业、种植业等都有安排),且林业用地(包括果园和经济林地)面积最大,超过农业用地的一半,反映出千烟洲的农业结构已从过去的以粮食生产为主转变到现在的以林业为主。布局形式:丘山——丘下为“用才林——经济林和毛竹——果园或人工草地——农业——鱼塘”。
【教学内容】人教版高中思想政治必修3文化生活第一单元第二课第二框题《文化塑造人生》。【教学目标】1.知识目标理解优秀文化如何丰富人的精神世界、增强人的精神力量及促进人的全面发展。2.能力目标(1)能赏析优秀文化产品,感悟积极向上的文化生活对于丰富人们的精神世界,增强人民的精神力量的意义,确信其促进人的全面发展的重要作用。(2)结合文化塑造人生,不断丰富自己的精神世界,促进自身的全面发展3.情感、态度、价值观目标树立正确的世界观、人生观、价值观,丰富精神世界,增强精神力量,接受优秀文化,促进自身的全面发展。【教学重点】优秀文化能丰富人的精神世界,增强人的精神力量【教学难点】文化促进人的全面发展【教学准备】资料收集、多媒体课件【课时安排】1课时【教学过程】视频导入:播放我国残疾人艺术团在春节晚会上的精美舞蹈《千手观音》。
三年前,我们怀着对未来的美好憧憬,带着家人与老师的殷殷期盼,兴奋地跨进了心仪已久的美丽的邗中校园。春来春去,杨柳依依,书写无悔年华;燕离燕归,白云点点,唱响人生奋斗的凯歌。微冷的春风淡去了烟尘与伤痛,沉淀在内心的,是缤纷的梦想和那收获前的耕耘与奋斗。蓦然回首,三年寒窗苦读,一千多个日日夜夜,铸就了我们必胜的信念与坚不可摧的意志。我们的目光,从来没有像今天这般坚定执着;我们的思想,从来没有像现在这般成熟饱满;我们的心灵,从来没有眼前这般激荡燃烧。
一、创新发展旨在促进人的全面发展和社会全面进步。创新,归根结底是作为主体的人的创新。人是社会发展的主体,人民群众是历史的创造者、社会发展的直接推动者和社会变革的决定力量。把创新作为引领发展的第一动力,就是强调发展依靠推人民,充分发挥广大人民群众的积极性、主动性、创造性,大力激发、挖掘人的潜能,使其转变为推动经济社会发展的现实能力和第一动力;让创新在全社会蔚然成风,这就要求在全社会树立崇尚创新的发展观念,形成有利于创新的体制机制,营造鼓励创新的良好环境,激活民间智慧、汇集大众力量,通过无数劳动者创造性的实践活动,推动社会全面进步和人的全面发展。
对招商对象了解不深入、不细致,不知道对方的优势特色、投资方向是什么,拿出的招商方案不具体,优惠政策针对性不强,对客商提出的问题也缺少严谨、详实、有效的回应,经常是没有做足充分准备就匆匆忙忙外出、热热闹闹会见、草草率率结束,没有达到预期效果。从引进的项目看,还缺少延链、补链、强链的大项目、好项目,特别是投资额度大、科技含量高、带动作用强的项目占比仍然偏低。
Step 4 PracticeRead the conversation. Find out which words have been left out.Justin: Linlin, I’m going to Guizhou Province next month. I’m super excited! Any recommendations for places to visit?Linlin: Wow, cool! Guizhou is a province with a lot of cultural diversity. Places to visit...well, definitely the Huangguoshu Waterfall first.Justin: What’s special about the waterfall?Linlin: Well, have you ever heard of the Chinese novel Journey to the West ?Justin: Yes, I have. Why ?Linlin: In the back of the waterfall, you will find a cave, which is the home of the Monkey King.Justin: Really? Cool! I’ll definitely check it out.Linlin:And I strongly recommend the ethnic minority villages. You’ll find Chinese culture is much more diverse than you thought.Justin:Sounds great, thanks.Answers:Justin: Linlin, I’m going to Guizhou Province next month. I’m super excited! Do you have any recommendations for places to visit?Linlin: Wow, that’s cool! Guizhou is a province with a lot of cultural diversity. What are some places to visit in Guizhou ? Well, definitely the Huangguoshu Waterfall is the first place to visit in Guizhou Province.Justin: What’s special about the waterfall?Linlin: Well, have you ever heard of the Chinese novel Journey to the West ?Justin: Yes, I have heard of the Chinese novel Journey to the West . Why do you ask if I have heard of the Chinese novel Journey to the West?Linlin: In the back of the waterfall, you will find a cave, which is the home of the Monkey King from Journey to the West.Justin: That’s really true? It’s Cool! I’ll definitely check it out.Linlin:And I strongly recommend the ethnic minority villages on your trip to Guizhou Province. You’ll find Chinese culture is much more diverse than you thought it was.Justin:This all sounds great, thanks.
The topic of this part is “Describe a place with distinctive cultural identity”.This section focuses on Chinese culture by introducing Chinatown, whose purpose is to show the relationship between the Chinese culture and American culture. The Chinese culture in Chinatown is an important part of American culture. Chinatown is an important window of spreading Chinese culture and the spirit homeland of oversea Chinese, where foreigners can experience Chinese culture by themselves.Concretely, the title is “Welcome to Chinatown!”, from which we can know that the article aims at introducing Chinatown. The author used the “Introduction--Body Paragraph--Conclusion” to describe the people, language, architecture, business, famous food and drinks and people’s activities, which can be a centre for Chinese culture and shows its unique charm.1. Read quickly to get main idea; read carefully to get the detailed information.2. Learn the characteristics of writing and language.3. Learn to introduce your own town according to the text.4. Learn to correct others’ writing.1. Learn the characteristics of writing and language.2. Learn to introduce your own town according to the text.Step 1 Lead in ---Small talkIn the reading part, we mentioned the Chinatown of San Francisco. How much do you know about Chinatown of San Francisco ?Chinatown is a main living place for Chinese immigrants, where you can see many Chinese-style buildings, costumes, operas, restaurants, music and even hear Chinese.Step 2 Before reading ---Predict the contentWhat is the writer’s purpose of writing this text ? How do you know ?From the title(Welcome to Chinatown) and some key words from the text(tourist, visit, visitors, experience), we can know the purpose of the text is to introduce Chinatown and show the relationship between Chinese culture and American culture.
1. In Picture 1 and Picture 2, where do you think they are from? How do you know?From their wearings, we can know they are from ethnic minority of China--- Miao and Dong.Picture 1, they are playing their traditional instrument lusheng in their traditional costumes.Picture 2. the girls are Miao because they wear their traditional costumes and silver accessory.2. In Picture 3, can you find which village it is? What time is it in the picture?It is Dong village. It is at night. Step 2 While-listeningJustin met a new friend while traveling in Guizhou. Listen to their conversation and complete the summaries below.Part 1Justin and Wu Yue watched some Miao people play the lusheng. The instrument has a history of over 3,000 years and it is even mentioned in the oldest collection of Chinese poetry. Then they watched the lusheng dance. Justin wanted to buy some hand-made silver/traditional accessories as souvenirs. He was told that the price will depend on the percentage of silver. Part 2They will go to a pretty Dong minority village called Zhaoxing. they will see the drum towers and the wind and rain bridges. They may also see a performance of the Grand Song of the Dong people.Step 3 Post-listening---TalkingWork in groups. Imagine Justin is telling some friends about his trip to Guizhou. One of you is Justin and the rest of you are his friends. Ask Justin questions about his trip and experience. The following expressions may help you.
Discuss these questions in groups.Q1: Have you ever been to a place that has a diverse culture ? What do you think about the culture diversity ?One culturally diverse place that I have been to is Harbin, the capital city of Heilongjiang Province. I went there last year with my family to see the Ice and Snow Festival, and I was amazed at how the culture as different to most other Chinese cities. There is a big Russian influence there, with beautiful Russian architecture and lots of interesting restaurants. I learnt that Harbin is called “the Oriental Moscow” and that many Russians settled there to help build the railway over 100 years ago.Q2: What are the benefits and challenges of cultural diversity ?The benefits: People are able to experience a wide variety of cultures, making their lives more interesting, and it can deepen the feelings for our national culture, it is also helpful for us to learn about other outstanding culture, which helps improve the ability to respect others. The challenges: People may have trouble communicating or understanding each other, and it may lead to disappearance of some civilizations and even make some people think “The western moon is rounder than his own.”Step 7 Post reading---RetellComplete the passage according to the text.Today, I arrived back in San Francisco, and it feels good (1) _____(be) back in the city again. The city succeeded in (2)_________ (rebuild) itself after the earthquake that (3)________ (occur) in 1906, and I stayed in the Mission District, enjoying some delicious noodles mixed with cultures. In the afternoon, I headed to a local museum (4)____ showed the historical changes in California. During the gold rush, many Chinese arrived, and some opened up shops and restaurants in Chinatown to earn a (5)_____ (live). Many others worked on (6)______ (farm), joined the gold rush, or went to build the railway that connected California to the east. The museum showed us (7)____ America was built by immigrants from (8)________ (difference) countries and cultures. In the evening, I went to Chinatown, and ate in a Cantonese restaurant that served food on (9)________(beauty) china plates. Tomorrow evening, I’m going to (10)__ jazz bar in the Richmond District. 答案:1. to be 2. rebuilding 3. occurred 4. that 5.living6. farms 7.how 8. different 9. beautiful 10. a
社会实践是每一个大学生必须拥有的一段经历,它使我们在实践中了解社会,让我们学到了很多在课堂上根本就学不到的知识,也打开了视野,增长了见识,为我们以后进一步走向社会打下坚实的基础。这是我第二次参加返家乡社会实践活动,通过这次活动,我感悟了很多。 经过一段时间的工作后,我发现自己常常出现错误,粗心大意,马虎了事,心浮气躁。这使我明白了做任何事都一样需要有恒心、细心和毅力,那才会到达成功的彼岸!在实践期间,我参与了百所高校进白山活动,让我意识到自己在与人交流和口才上的不足,获得了一些与人相处的经验,在这之后我明显发现自己开朗了。对于一个大学生来说,敢于挑战是一个必备的素质,在以后的生活中我要从工作中获得课本上学习不到的知识,在实践中夯实自己,提高工作能力。