板书:国家机关及其工作人员行使职权造成损 失的,要依法承担赔偿责任。设计意图:引导学生懂得国家机关及其工作人员违法行使职权,侵犯公民合法权益,造成损害的,国家要依法承担赔偿责任。 环节环节三:课堂小结,内化提升学生谈一谈学习本节课的收获,教师相机引导。设计意图:梳理总结,体验收获与成功的喜悦,内化提升学生的认识与情感。环节四:布置作业,课外延伸 课后,以权力违法必追责为主题写一篇日记。 设计意图:将课堂所学延伸到学生的日常生活中,有利于落实行为实践。六、板书设计 为了突出重点,让学生整体上感知本节课的主要内容,我将以思维导图的形式设计板书: 在黑板中上方的中间位置是课题《权力违法 必追责》,下面是:权力违法要依法纠正;中华人民共和国行政诉讼法;国家机关及其工作人员行使职权造成损失的,要依法承担赔偿责任。
The grammar of this unit is designed to review noun clauses. Sentences that use nouns in a sentence are called noun clauses. Nominal clauses can act as subject, object, predicate, appositive and other components in compound sentences. According to the above-mentioned different grammatical functions, nominal clauses are divided into subject clause, object clause, predicate clause and appositive clause. In this unit, we will review the three kinds of nominal clauses. Appositive clauses are not required to be mastered in the optional compulsory stage, so they are not involved.1. Guide the students to judge the compound sentences and determine the composition of the clauses in the sentence.2. Instruct students to try to learn grammar by generalizing grammar rules, controlling written practice, and semi-open oral output.3. Inspire the students to systematize the function and usage of noun clause1.Instruct students to try to learn grammar by generalizing grammar rules, controlling written practice, and semi-open oral output.2.Inspire the students to systematize the function and usage of noun clauseStep1: The teacher ask studetns to find out more nominal clauses from the reading passage and udnerline the nominal clauses.
The grammatical structure of this unit is predicative clause. Like object clause and subject clause, predicative clause is one of Nominal Clauses. The leading words of predicative clauses are that, what, how, what, where, as if, because, etc.The design of teaching activities aims to guide students to perceive the structural features of predicative clauses and think about their ideographic functions. Beyond that, students should be guided to use this grammar in the context apporpriately and flexibly.1. Enable the Ss to master the usage of the predicative clauses in this unit.2. Enable the Ss to use the predicative patterns flexibly.3. Train the Ss to apply some skills by doing the relevant exercises.1.Guide students to perceive the structural features of predicative clauses and think about their ideographic functions.2.Strengthen students' ability of using predicative clauses in context, but also cultivate their ability of text analysis and logical reasoning competence.Step1: Underline all the examples in the reading passage, where noun clauses are used as the predicative. Then state their meaning and functions.1) One theory was that bad air caused the disease.2) Another theory was that cholera was caused by an infection from germs in food or water.3) The truth was that the water from the Broad Street had been infected by waste.Sum up the rules of grammar:1. 以上黑体部分在句中作表语。2. 句1、2、3中的that在从句中不作成分,只起连接作用。 Step2: Review the basic components of predicative clauses1.Definition
当孩子们由父母陪同时,他们才被允许进入这个运动场。3.过去分词(短语)作状语时的几种特殊情况(1)过去分词(短语)在句中作时间、条件、原因、让步状语时,相当于对应的时间、条件、原因及让步状语从句。Seen from the top of the mountain (=When it is seen from the top of the mountain), the whole town looks more beautiful.从山顶上看,整个城市看起来更美了。Given ten more minutes (=If we are given ten more minutes), we will finish the work perfectly.如果多给十分钟,我们会完美地完成这项工作。Greatly touched by his words (=Because she was greatly touched by his words), she was full of tears.由于被他的话深深地感动,她满眼泪花。Warned of the storm (=Though they were warned of the storm), the farmers were still working on the farm.尽管被警告了风暴的到来,但农民们仍在农场干活。(2)过去分词(短语)在句中作伴随、方式等状语时,可改为句子的并列谓语或改为并列分句。The teacher came into the room, followed by two students (=and was followed by two students).后面跟着两个学生,老师走进了房间。He spent the whole afternoon, accompanied by his mom(=and was accompanied by his mom).他由母亲陪着度过了一整个下午。
This happens because the dish soap molecules have a strong negative charge, and the milk molecules have a strong positive charge. Like magnets, these molecules are attracted to each other, and so they appear to move around on the plate, taking the food coloring with them, making it look like the colors are quickly moving to escape from the soap.Listening text:? Judy: Oh, I'm so sorry that you were ill and couldn't come with us on our field trip. How are you feeling now? Better?? Bill: Much better, thanks. But how was it?? Judy: Wonderful! I especially liked an area of the museum called Light Games.it was really cool. They had a hall of mirrors where I could see myself reflected thousands of times!? Bill: A hall of mirrors can be a lot of fun. What else did they have?? Judy: Well, they had an experiment where we looked at a blue screen for a while, and then suddenly we could see tiny bright lights moving around on it. You'll never guess what those bright lights were!? Bill: Come on, tell me!? Judy: They were our own blood cells. For some reason, our eyes play tricks on us when we look at a blue screen, and we can see our own blood cells moving around like little lights! But there was another thing I liked better. I stood in front of a white light, and it cast different shadows of me in every color of the rainbow!? Bill: Oh, I wish I had been there. Tell me more!? Judy: Well, they had another area for sound. They had a giant piano keyboard that you could use your feet to play. But then, instead of playing the sounds of a piano, it played the voices of classical singers! Then they had a giant dish, and when you spoke into it, it reflected the sound back and made it louder. You could use it to speak in a whisper to someone 17 meters away.? Bill: It all sounds so cool. I wish I could have gone with you? Judy: I know, but we can go together this weekend. I'd love to go there again!? Bill: That sounds like a great idea!
The newspaper reported more than 100 people had been killed in the thunderstorm.报纸报道说有一百多人在暴风雨中丧生。(2)before、when、by the time、until、after、once等引导的时间状语从句的谓语是一般过去时,以及by、before后面接过去的时间时,主句动作发生在从句的动作或过去的时间之前且表示被动时,要用过去完成时的被动语态。By the time my brother was 10, he had been sent to Italy.我弟弟10岁前就已经被送到意大利了。Tons of rice had been produced by the end of last month. 到上月底已生产了好几吨大米。(3) It was the first/second/last ... time that ...句中that引导的定语从句中,主语与谓语构成被动关系时,要用过去完成时的被动语态。It was the first time that I had seen the night fact to face in one and a half years. 这是我一年半以来第一次亲眼目睹夜晚的景色。(4)在虚拟语气中,条件句表示与过去事实相反,且主语与谓语构成被动关系时,要用过去完成时的被动语态。If I had been instructed by him earlier, I would have finished the task.如果我早一点得到他的指示,我早就完成这项任务了。If I had hurried, I wouldn't have missed the train.如果我快点的话,我就不会误了火车。If you had been at the party, you would have met him. 如果你去了晚会,你就会见到他的。
温故知新 1.离散型随机变量的定义可能取值为有限个或可以一一列举的随机变量,我们称为离散型随机变量.通常用大写英文字母表示随机变量,例如X,Y,Z;用小写英文字母表示随机变量的取值,例如x,y,z.随机变量的特点: 试验之前可以判断其可能出现的所有值,在试验之前不可能确定取何值;可以用数字表示2、随机变量的分类①离散型随机变量:X的取值可一、一列出;②连续型随机变量:X可以取某个区间内的一切值随机变量将随机事件的结果数量化.3、古典概型:①试验中所有可能出现的基本事件只有有限个;②每个基本事件出现的可能性相等。二、探究新知探究1.抛掷一枚骰子,所得的点数X有哪些值?取每个值的概率是多少? 因为X取值范围是{1,2,3,4,5,6}而且"P(X=m)"=1/6,m=1,2,3,4,5,6.因此X分布列如下表所示
Step 7: complete the discourse according to the grammar rules.Cholera used to be one of the most 1.__________ (fear) diseases in the world. In the early 19th century, _2_________ an outbreak of cholera hit Europe, millions of people died. But neither its cause, 3__________ its cure was understood. A British doctor, John Snow, wanted to solve the problem and he knew that cholera would not be controlled _4_________ its cause was found. In general, there were two contradictory theories 5 __________ explained how cholera spread. The first suggested that bad air caused the disease. The second was that cholera was caused by an _6_________(infect) from germs in food or water. John Snow thought that the second theory was correct but he needed proof. So when another outbreak of cholera hit London in 1854, he began to investigate. Later, with all the evidence he _7_________ (gather), John Snow was able to announce that the pump water carried cholera germs. Therefore, he had the handle of the pump _8_________ (remove) so that it couldn't be used. Through his intervention,the disease was stopped in its tracks. What is more, John Snow found that some companies sold water from the River Thames that __9__________________ (pollute) by raw waste. The people who drank this water were much more likely _10_________ (get) cholera than those who drank pure or boiled water. Through John Snow's efforts, the _11_________ (threaten) of cholera around the world saw a substantial increase. Keys: 1.feared 2.when 3. nor 4.unless 5.that/which 6.infection 7.had gathered 8.removed 9.was polluted 10.to get 11. threat
Step 5: After learning the text, discuss with your peers about the following questions:1.John Snow believed Idea 2 was right. How did he finally prove it?2. Do you think John Snow would have solved this problem without the map?3. Cholera is a 19th century disease. What disease do you think is similar to cholera today?SARS and Covid-19 because they are both deadly and fatally infectious, have an unknown cause and need serious public health care to solve them urgently.keys:1. John Snow finally proved his idea because he found an outbreak that was clearly related to cholera, collected information and was able to tie cases outside the area to the polluted water.2. No. The map helped John Snow organize his ideas. He was able to identify those households that had had many deaths and check their water-drinking habits. He identified those houses that had had no deaths and surveyed their drinking habits. The evidence clearly pointed to the polluted water being the cause.3. SARS and Covid-19 because they are both deadly and fatally infectious, have an unknown cause and need serious public health care to solve them urgently.Step 6: Consolidate what you have learned by filling in the blanks:John Snow was a well-known _1___ in London in the _2__ century. He wanted to find the _3_____ of cholera in order to help people ___4_____ it. In 1854 when a cholera __5__ London, he began to gather information. He ___6__ on a map ___7___ all the dead people had lived and he found that many people who had ___8____ (drink) the dirty water from the __9____ died. So he decided that the polluted water ___10____ cholera. He suggested that the ___11__ of all water supplies should be _12______ and new methods of dealing with ____13___ water be found. Finally, “King Cholera” was __14_____.Keys: 1. doctor 2. 19th 3.cause 4.infected with 5.hit 6.marked 7.where 8.drunk 9.pump 10.carried 11.source 12.examined 13.polluted 14.defeatedHomework: Retell the text after class and preview its language points
The discourse explores the link between food and culture from a foreign’s perspective and it records some authentic Chinese food and illustrates the cultural meaning, gerography features and historic tradition that the food reflects. It is aimed to lead students to understand and think about the connection between food and culture. While teaching, the teacher should instruct students to find out the writing order and the writer’s experieces and feelings towards Chinese food and culture.1.Guide the students to read the text, sort out the information and dig out the topic.2.Understand the cultural connotation, regional characteristics and historical tradition of Chinese cuisine3.Understand and explore the relationship between food and people's personality4.Guide the students to use the cohesive words in the text5.Lead students to accurately grasp the real meaning of the information and improve the overall understanding ability by understanding the implied meaning behind the text.1. Enable the Ss to understand the structure and the writing style of the passage well.2. Lead the Ss to understand and think further about the connection between food and geography and local character traits.Step1: Prediction before reading. Before you read, look at the title, and the picture. What do you think this article is about?keys:It is about various culture and cuisine about a place or some countries.
You have no excuse for not going.你没有理由不去。He was punished for not having finished his homework.他因未完成作业而受到惩罚。2.动词ing形式复合结构由物主代词或人称代词宾格、名词所有格或普通格加动词ing,即“sb./sb.'s+doing”构成。动词ing形式的复合结构实际上是给动词ing形式加了一个逻辑主语。动词ing形式的复合结构有四种形式:①形容词性物主代词+动词ing②名词所有格+动词ing③代词宾格+动词ing④名词+动词ingHer coming to help encouraged all of us.她来帮忙鼓舞了我们所有人。The baby was made awake by the door suddenly shutting.这个婴儿被突然的关门声吵醒了。Can you imagine him/Jack cooking at home?你能想象他/杰克在家做饭的样子吗?无生命名词无论是作主语还是作宾语都不能用第②种形式。Tom's winning first prize last year impressed me a lot.汤姆去年得了一等奖使我印象深刻。Do you mind my/me/Jack's/Jack leaving now?你介意我/杰克现在离开吗?Excuse me for my not coming on time.很抱歉我没能按时来。His father's being ill made him worried.他父亲病了,他很担心。We are looking forward to the singer's/the singer to give us a concert.我们盼望着这位歌手来给我们举办一场演唱会。
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.
探究新知问题1:已知100件产品中有8件次品,现从中采用有放回方式随机抽取4件.设抽取的4件产品中次品数为X,求随机变量X的分布列.(1):采用有放回抽样,随机变量X服从二项分布吗?采用有放回抽样,则每次抽到次品的概率为0.08,且各次抽样的结果相互独立,此时X服从二项分布,即X~B(4,0.08).(2):如果采用不放回抽样,抽取的4件产品中次品数X服从二项分布吗?若不服从,那么X的分布列是什么?不服从,根据古典概型求X的分布列.解:从100件产品中任取4件有 C_100^4 种不同的取法,从100件产品中任取4件,次品数X可能取0,1,2,3,4.恰有k件次品的取法有C_8^k C_92^(4-k)种.一般地,假设一批产品共有N件,其中有M件次品.从N件产品中随机抽取n件(不放回),用X表示抽取的n件产品中的次品数,则X的分布列为P(X=k)=CkM Cn-kN-M CnN ,k=m,m+1,m+2,…,r.其中n,N,M∈N*,M≤N,n≤N,m=max{0,n-N+M},r=min{n,M},则称随机变量X服从超几何分布.
(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.
4.有8种不同的菜种,任选4种种在不同土质的4块地里,有 种不同的种法. 解析:将4块不同土质的地看作4个不同的位置,从8种不同的菜种中任选4种种在4块不同土质的地里,则本题即为从8个不同元素中任选4个元素的排列问题,所以不同的种法共有A_8^4 =8×7×6×5=1 680(种).答案:1 6805.用1、2、3、4、5、6、7这7个数字组成没有重复数字的四位数.(1)这些四位数中偶数有多少个?能被5整除的有多少个?(2)这些四位数中大于6 500的有多少个?解:(1)偶数的个位数只能是2、4、6,有A_3^1种排法,其他位上有A_6^3种排法,由分步乘法计数原理,知共有四位偶数A_3^1·A_6^3=360(个);能被5整除的数个位必须是5,故有A_6^3=120(个).(2)最高位上是7时大于6 500,有A_6^3种,最高位上是6时,百位上只能是7或5,故有2×A_5^2种.由分类加法计数原理知,这些四位数中大于6 500的共有A_6^3+2×A_5^2=160(个).
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)√
解析:因为减法和除法运算中交换两个数的位置对计算结果有影响,所以属于组合的有2个.答案:B2.若A_n^2=3C_(n"-" 1)^2,则n的值为( )A.4 B.5 C.6 D.7 解析:因为A_n^2=3C_(n"-" 1)^2,所以n(n-1)=(3"(" n"-" 1")(" n"-" 2")" )/2,解得n=6.故选C.答案:C 3.若集合A={a1,a2,a3,a4,a5},则集合A的子集中含有4个元素的子集共有 个. 解析:满足要求的子集中含有4个元素,由集合中元素的无序性,知其子集个数为C_5^4=5.答案:54.平面内有12个点,其中有4个点共线,此外再无任何3点共线,以这些点为顶点,可得多少个不同的三角形?解:(方法一)我们把从共线的4个点中取点的多少作为分类的标准:第1类,共线的4个点中有2个点作为三角形的顶点,共有C_4^2·C_8^1=48(个)不同的三角形;第2类,共线的4个点中有1个点作为三角形的顶点,共有C_4^1·C_8^2=112(个)不同的三角形;第3类,共线的4个点中没有点作为三角形的顶点,共有C_8^3=56(个)不同的三角形.由分类加法计数原理,不同的三角形共有48+112+56=216(个).(方法二 间接法)C_12^3-C_4^3=220-4=216(个).
一、单项选择题1.违法行为是指出于过错违法法律、法规的规定,危害社会的行为。下列违法行 为属于行政违法行为的有 ( )①欠债不还 ②谎报险情 ③殴打他人 ④故意杀人A.①② B.②③ C.①③ D.③④2.一般违法行为和犯罪的共同点是 ( )A.都违反了民事法律 B.都要受到刑罚处罚C.承担相同法律责任 D.都具有社会危害性3.“人生不能越界,底线必须坚守”。这句话说明人们行为的底线是 ( )A.守诚信 B.讲道德 C.不违法 D.懂礼仪4.犯罪的最本质特征是 ( )A.严重社会危害性 B.刑事违法性C.应受刑罚处罚性 D.触犯法律性 5.初中生小辉因沉迷网络游戏,经常偷父母的钱。后来发展为盗窃,走上了违法犯罪的道路。这告诉我们 ( )①不良行为必然会发展成违法犯罪行为②网络游戏有害健康,我们应远离网络③预防违法犯罪需要强化防微杜渐意识④要理性参与网络生活,做网络的主人A.①② B.②③ C.①③ D.③④
《函数的单调性与最大(小)值》是高中数学新教材第一册第三章第2节的内容。在此之前,学生已学习了函数的概念、定义域、值域及表示法,这为过渡到本节的学习起着铺垫作用。学生在初中已经学习了一次函数、二次函数、反比例函数的图象,在此基础上学生对增减性有一个初步的感性认识,所以本节课是学生数学思想的一次重要提高。函数单调性是函数概念的延续和拓展,又是后续研究指数函数、对数函数等内容的基础,对进一步研究闭区间上的连续函数最大值和最小值的求法和实际应用,对解决各种数学问题有着广泛作用。课程目标1、理解增函数、减函数 的概念及函数单调性的定义;2、会根据单调定义证明函数单调性;3、理解函数的最大(小)值及其几何意义;4、学会运用函数图象理解和研究函数的性质.数学学科素养
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