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人教版高中地理选修5自然灾害与人类活动教案

  • 美术活动:造长城课件教案

    美术活动:造长城课件教案

    活动目标:1、尝试从前向后安排画面,初步表现简单的重叠。2、乐于参与造长城活动,为自己建造长城而感到自豪。 活动准备:1、黑色水笔、油画棒。2、课件。 活动过程:一、欣赏讨论:1、我们的首都在哪里?北京有哪些好玩的地方?2、这是什么地方?长城建造在哪里?它象什么?3、中国古代劳动人民为什么要建造长城?现在的长城有什么用处?

  • 美术活动:印照片课件教案

    美术活动:印照片课件教案

    2.巩固单色画的作画方法,使作品丰满。 3.通过活动,充分发挥幼儿的想象力和创造力。二.准备黑影若干种,示范黑影和实物各一种。三.过程(一)导入活动,引起兴趣师:昨天我请了一位粗心的照相师帮我印照片,他实在太粗心了只印出了一个影子,你们看!(二)出示黑影,启发幼儿想象 1.师:这就是其中一张照片。你们想想:这可能是什么东西的影子呢?(幼儿从不同方向进行观察)。

  • 《冬天的秘密》主题活动教案

    《冬天的秘密》主题活动教案

    一:活动背景:  随着天气的变冷及幼儿外出活动发现的落叶,使幼儿对冬天的到来有了初步的感知,对他们来说寒冷的冬天太奇妙、太神奇了,他们想揭开冬天的面纱,他们对冬天渴望探索更多的知识。如:他们会问:为什么树叶会在冬天落下来、冬天为什么会很冷、冬天为什么会下雪、门窗上为什么有冰花,还有的幼儿说:冬天冷水会结冰,我们可以滑冰玩、冬天下雪我们可以堆雪人、冬天冷就不会有蚊子不会被蚊子咬了等等。结合幼儿对冬天所产生的神秘感和已了解的知识内容,我们开展了主题活动——冬天的秘密,借此,让幼儿对冬天有更全面的认识,揭开冬天的秘密。  首先,我们在幼儿中开展调查,发现大部分幼儿对冬天的冷都感到可怕,这对他们来说可能对四季交替不够了解,这需要我们的引导讲解,通过调查我们还发现幼儿对冬天的万物变化非常感兴趣,特别是:下雪、动物的冬眠,从幼儿的好奇心出发,我们决定以冬天的变化为着眼点,进行主题活动的开展。  二:活动的目的:  1. 活动中,让幼儿了解冬天的各种变化、动植物的过冬方式及不同地方的不同过冬方式。  2. 冬天的活动及冬天的节日,使幼儿对冬天由更进一步的了解,从而对冬天有更深的认识。  三;主题活动网络图:  昼长夜短 寒冷 雪花、冰雹  变化 的冬季 冬眠、南迁、躲  天气 现象 不同地方 储备食物、冬眠、  圣诞节、元旦、春节 冬天的景色  过冬方式  冬天的节日 冬天的秘密 动物  动物趣闻  冬天的活动 植物人类的变化 衣服的变化  蔬菜、庄稼  跳绳、堆雪人 制作漂亮 树、花 食物 疾病 取暖 天冷我不怕  踢毽子 的冬装  常绿树、落叶树 预防感冒  树叶找家  注: 为教师预设内容、 师生共同生成、 为幼儿生成

  • 我爱我班主题班会活动教案

    我爱我班主题班会活动教案

    活动过程:  《我爱我班》主题班会现在开始:  1、讨论“什么叫班级?”  2、讨论个人与班级的关系.  我们每一个人与班集体都是融为一体的,是不可分离的。学习差、思想差、行为差的同学离不开集体的帮助,好同学要想在集体里较好成长,更离不开老师细心的指导,同学们的互相启发促进和大家共同创造的良好集体氛围、学习环境。请听故事:《骄傲的桃花》  春天来了,微微轻风,绵绵细雨,大地上万物复苏,到处都可以见到生机勃勃的景象。  花开的最茂盛、美丽的就是桃花了,每当人们看到这棵桃树,总是赞赏到:“多美啊!”忍不住去闻一闻,“多香啊!”  在一次一次的称赞声中,有一朵花有些骄傲了,她想:“在这棵桃数上,就数我最香了。我不跟那些花在一起,就一定会更突出。”在左右的那些花劝到:“你可不要单独行动呀!那是危险的事啊!”可是那朵骄傲的小花却说:“我的危险与你们不相干!”她又想:我如果离开这,人们一看到我,一定会给我更大的赞美,而且我还能得到自由。不一会儿,风来了,这多花借着风的力量,使劲挣脱了出去。  谁知,太阳马上晒干了这多花,她使劲的喊“救命”,可是她再也不能回到树上去了,后来她终于凋谢了。  老师小结:古代有一位学者问他的学生:“一滴水怎样才能不干涸?”学生们面面相觑回答不出来。最后学者的答案是:“把它放进大海中去。”刘越同学的周记告诉我们:花离开了滋润它成长的大树就会调谢,人,离开了班级就失去了智慧和力量的源泉,就不能成长、进步。所以个人不能离开集体。如果一个班级好比是一座百花园,那么每一个同学就是其中一朵花。

  • 幼儿园礼仪活动教案

    幼儿园礼仪活动教案

    日常生活礼仪 1、 了解正确的称谓及常用的礼貌用语。2、 能有礼貌地自我介绍,见面时会互相问候。3、 懂得拜访礼仪和招待客人的礼仪知识。4、 有认真倾听他人的讲话,目光注视对方。5、 有身边的人,了解他们的工作生活。6、 懂得公共场所不大声喧哗,以免影响他人。7、 喜欢与人交往。 邻里关系礼仪 1、 知道应与邻居友好相处,碰到邻居会打招呼。2、 到朋友家拜访,穿戴整齐有序,不穿睡衣,先敲门,不可悄悄自己开门进去。3、 在家里要保持安静,不要大声喧哗,以免吵扰邻居。 现代通讯礼仪 1、 学习打电话和接听电话的礼仪知识。2、 知道不能随便打别人的电话,要正确拨号。3、 称呼正确,说话有礼貌。

  • 初中生物说课稿范文《人类的起源与发展》

    初中生物说课稿范文《人类的起源与发展》

    二、教学目标 <一>、知识目标: 1、能说出人类与现代类人猿共同起源于森林古猿。 2、知道人类是由于环境的变化,在与自然环境的艰苦斗争过程中逐渐进化来的。 3、概述人类在起源和发展过程中自身形态、使用工具等方面的变化。 <二>、能力目标: 1、通过指导学生课前收集有关人类的起源和进化的资料等,培养学生收集资料、获取信息的能力。 2、通过对人类的起源和进化的探究,打开学生思路,培养他们的观察能力、想象能力、分析能力、比较问题能力及口头表达能力。

  • 人教版高中数学选修3离散型随机变量的方差教学设计

    人教版高中数学选修3离散型随机变量的方差教学设计

    3.下结论.依据均值和方差做出结论.跟踪训练2. A、B两个投资项目的利润率分别为随机变量X1和X2,根据市场分析, X1和X2的分布列分别为X1 2% 8% 12% X2 5% 10%P 0.2 0.5 0.3 P 0.8 0.2求:(1)在A、B两个项目上各投资100万元, Y1和Y2分别表示投资项目A和B所获得的利润,求方差D(Y1)和D(Y2);(2)根据得到的结论,对于投资者有什么建议? 解:(1)题目可知,投资项目A和B所获得的利润Y1和Y2的分布列为:Y1 2 8 12 Y2 5 10P 0.2 0.5 0.3 P 0.8 0.2所以 ;; 解:(2) 由(1)可知 ,说明投资A项目比投资B项目期望收益要高;同时 ,说明投资A项目比投资B项目的实际收益相对于期望收益的平均波动要更大.因此,对于追求稳定的投资者,投资B项目更合适;而对于更看重利润并且愿意为了高利润承担风险的投资者,投资A项目更合适.

  • 新人教版高中英语选修2Unit 1 Science and Scientists-Discovering useful structures教学设计

    新人教版高中英语选修2Unit 1 Science and Scientists-Discovering useful structures教学设计

    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

  • 新人教版高中英语选修2Unit 1 Science and Scientists-Reading and thinking教学设计

    新人教版高中英语选修2Unit 1 Science and Scientists-Reading and thinking教学设计

    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

  • 新人教版高中英语选修2Unit 2 Bridging Cultures-Discovering useful structures教学设计

    新人教版高中英语选修2Unit 2 Bridging Cultures-Discovering useful structures教学设计

    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.

  • 新人教版高中英语选修2Unit 3 Food and Culture-Discovering useful structures教学设计

    新人教版高中英语选修2Unit 3 Food and Culture-Discovering useful structures教学设计

    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。

  • 新人教版高中英语选修2Unit 3 Food and Culture-Reading and thinking教学设计

    新人教版高中英语选修2Unit 3 Food and Culture-Reading and thinking教学设计

    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.

  • 人教版高中数学选修3离散型随机变量及其分布列(1)教学设计

    人教版高中数学选修3离散型随机变量及其分布列(1)教学设计

    4.写出下列随机变量可能取的值,并说明随机变量所取的值表示的随机试验的结果.(1)一个袋中装有8个红球,3个白球,从中任取5个球,其中所含白球的个数为X.(2)一个袋中有5个同样大小的黑球,编号为1,2,3,4,5,从中任取3个球,取出的球的最大号码记为X.(3). 在本例(1)条件下,规定取出一个红球赢2元,而每取出一个白球输1元,以ξ表示赢得的钱数,结果如何?[解] (1)X可取0,1,2,3.X=0表示取5个球全是红球;X=1表示取1个白球,4个红球;X=2表示取2个白球,3个红球;X=3表示取3个白球,2个红球.(2)X可取3,4,5.X=3表示取出的球编号为1,2,3;X=4表示取出的球编号为1,2,4;1,3,4或2,3,4.X=5表示取出的球编号为1,2,5;1,3,5;1,4,5;2,3,5;2,4,5或3,4,5.(3) ξ=10表示取5个球全是红球;ξ=7表示取1个白球,4个红球;ξ=4表示取2个白球,3个红球;ξ=1表示取3个白球,2个红球.

  • 人教版高中数学选修3离散型随机变量及其分布列(2)教学设计

    人教版高中数学选修3离散型随机变量及其分布列(2)教学设计

    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

  • 人教版高中数学选修3一元线性回归模型及其应用教学设计

    人教版高中数学选修3一元线性回归模型及其应用教学设计

    1.确定研究对象,明确哪个是解释变量,哪个是响应变量;2.由经验确定非线性经验回归方程的模型;3.通过变换,将非线性经验回归模型转化为线性经验回归模型;4.按照公式计算经验回归方程中的参数,得到经验回归方程;5.消去新元,得到非线性经验回归方程;6.得出结果后分析残差图是否有异常 .跟踪训练1.一只药用昆虫的产卵数y与一定范围内的温度x有关,现收集了6组观测数据列于表中: 经计算得: 线性回归残差的平方和: ∑_(i=1)^6?〖(y_i-(y_i ) ?)〗^2=236,64,e^8.0605≈3167.其中 分别为观测数据中的温度和产卵数,i=1,2,3,4,5,6.(1)若用线性回归模型拟合,求y关于x的回归方程 (精确到0.1);(2)若用非线性回归模型拟合,求得y关于x回归方程为 且相关指数R2=0.9522. ①试与(1)中的线性回归模型相比较,用R2说明哪种模型的拟合效果更好 ?②用拟合效果好的模型预测温度为35℃时该种药用昆虫的产卵数.(结果取整数).

  • 新人教版高中英语选修2Unit 4 Journey Across a Vast Land教学设计

    新人教版高中英语选修2Unit 4 Journey Across a Vast Land教学设计

    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。

  • 新人教版高中英语选修2Unit 1 Science and Scientists-Learning about Language教学设计

    新人教版高中英语选修2Unit 1 Science and Scientists-Learning about Language教学设计

    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

  • 新人教版高中英语选修2Unit 1 Science and Scientists-Using langauge教学设计

    新人教版高中英语选修2Unit 1 Science and Scientists-Using langauge教学设计

    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!

  • 人教版高中数学选修3成对数据的相关关系教学设计

    人教版高中数学选修3成对数据的相关关系教学设计

    由样本相关系数??≈0.97,可以推断脂肪含量和年龄这两个变量正线性相关,且相关程度很强。脂肪含量与年龄变化趋势相同.归纳总结1.线性相关系数是从数值上来判断变量间的线性相关程度,是定量的方法.与散点图相比较,线性相关系数要精细得多,需要注意的是线性相关系数r的绝对值小,只是说明线性相关程度低,但不一定不相关,可能是非线性相关.2.利用相关系数r来检验线性相关显著性水平时,通常与0.75作比较,若|r|>0.75,则线性相关较为显著,否则不显著.例2. 有人收集了某城市居民年收入(所有居民在一年内收入的总和)与A商品销售额的10年数据,如表所示.画出散点图,判断成对样本数据是否线性相关,并通过样本相关系数推断居民年收入与A商品销售额的相关程度和变化趋势的异同.

  • 人教版高中数学选修3离散型随机变量的均值教学设计

    人教版高中数学选修3离散型随机变量的均值教学设计

    对于离散型随机变量,可以由它的概率分布列确定与该随机变量相关事件的概率。但在实际问题中,有时我们更感兴趣的是随机变量的某些数字特征。例如,要了解某班同学在一次数学测验中的总体水平,很重要的是看平均分;要了解某班同学数学成绩是否“两极分化”则需要考察这个班数学成绩的方差。我们还常常希望直接通过数字来反映随机变量的某个方面的特征,最常用的有期望与方差.二、 探究新知探究1.甲乙两名射箭运动员射中目标靶的环数的分布列如下表所示:如何比较他们射箭水平的高低呢?环数X 7 8 9 10甲射中的概率 0.1 0.2 0.3 0.4乙射中的概率 0.15 0.25 0.4 0.2类似两组数据的比较,首先比较击中的平均环数,如果平均环数相等,再看稳定性.假设甲射箭n次,射中7环、8环、9环和10环的频率分别为:甲n次射箭射中的平均环数当n足够大时,频率稳定于概率,所以x稳定于7×0.1+8×0.2+9×0.3+10×0.4=9.即甲射中平均环数的稳定值(理论平均值)为9,这个平均值的大小可以反映甲运动员的射箭水平.同理,乙射中环数的平均值为7×0.15+8×0.25+9×0.4+10×0.2=8.65.

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