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人教版高中数学选修3分类变量与列联表教学设计
一、 问题导学前面两节所讨论的变量,如人的身高、树的胸径、树的高度、短跑100m世界纪录和创纪录的时间等,都是数值变量,数值变量的取值为实数.其大小和运算都有实际含义.在现实生活中,人们经常需要回答一定范围内的两种现象或性质之间是否存在关联性或相互影响的问题.例如,就读不同学校是否对学生的成绩有影响,不同班级学生用于体育锻炼的时间是否有差别,吸烟是否会增加患肺癌的风险,等等,本节将要学习的独立性检验方法为我们提供了解决这类问题的方案。在讨论上述问题时,为了表述方便,我们经常会使用一种特殊的随机变量,以区别不同的现象或性质,这类随机变量称为分类变量.分类变量的取值可以用实数表示,例如,学生所在的班级可以用1,2,3等表示,男性、女性可以用1,0表示,等等.在很多时候,这些数值只作为编号使用,并没有通常的大小和运算意义,本节我们主要讨论取值于{0,1}的分类变量的关联性问题.
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
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).
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.
2022年黑龙江省龙东地区中考英语真题（解析版）
Choose the best choice fromA to F to finish the dialogue. You have one more answer. Each choice should beused only once.A: Hello, I’m a schoolnewspaper reporter. May I ask you some questions?B: ____46____
2022年黑龙江省绥化市中考英语真题（解析版）
There are many kinds ___21___art forms in China. ___22___ you often see any of them in your life?They help us understand and enjoy the traditional Chinese culture. When theSpring Festival comes, some people often ___23___ the red paper intodifferent art works with scissors.
2022年黑龙江省绥化市中考英语真题（原卷版）
Tim: _______36_______,Bob.Bob: Good afternoon, Tim. Icalled you just now, but nobody answered. _______37_______?Tim: I went to the cinema.And I watched a movie named The Battle atLake Changjin.Bob: Oh, great. It’s very famous nowadays. _______38_______?
2022年黑龙江省大庆市中考英语试题（解析版）
On a snowy day, there was a man walking in ahurry on the road. His clothes were in poor condition. You might think he was abeggar（乞丐）,but in fact he was a painter. His name was Vincent Willem van Gogh.
2022年辽宁省盘锦市中考英语真题（解析版）
Remember that it’s better to fail than it’s togive up, and the key is to learn from your failure(失败). But along withdifficulties, there will also be ____18____ wonderful waiting for you.
2022年辽宁省朝阳市中考英语真题（原卷版）
Michelle,a famous lady, has found that more than 25% students are too fat in hercountry. It is a very serious problem. So she starts a Health Program to dealwith it. The Health Program is to reduce the number of fat students today andin the future.
2022年江苏省宿迁市中考英语真题 （原卷版）
Theoil paper umbrella is a traditional Chinese handicraft（手工艺品）.It has a history of over 1,000 years in China．In early TangDynasty, it was introduced to Japan and Korea, so it was called the “TangUmbrella”. Later oil paper umbrellas were spread to other Asian countries, suchas Vietnam, Thailand and Laos, and each had its own style. However, assteel-ribbed（钢骨的）umbrellas appeared in the last century, thehand-made oil paper umbrellas became less used in daily life. They were turnedinto decorative artifacts（装饰性工艺品）.
2022年湖南省常德市中考英语真题（原卷版）
Bike-to-Work Day is held every year across NorthAmerica on the third Friday of May. It was started by the League ofAmerican Bicyclists in 1956. Its aim is to promote (促进) the bicycle as a seriouschoice of getting to and from work. In today’s world where global warming is aserious issue, the bicycle is a perfect way of reducing our carbon (碳) footprint.
2022年湖北省荆州市中考英语真题（解析版）
One night many yearsago, an angry voice woke me up from sleep. It was my drunken (喝醉的) father. Those days, he would always ___11___ home very late. Sometimes, he would also go on to fight with my mom.
2022年湖南省岳阳市中考英语真题（解析版）
FIFA World Cup is one of the biggest sportsevents in the world. It ___11___every 4 years. The first World Cup was in 1930. It has a history of over 90years. During the World Cup, ___12___fans watch the games and cheer for their favorite teams or players.
2022年湖北省鄂州市中考英语真题（解析版）
Dealing with a nosebleed（鼻出血）mightseem simple. But recently, the British RED Cross asked parents with youngchildren how to help a child with a nosebleed. About 65 percent of parents didnot ____11____the correct action to help.
2022年湖北省荆州市中考英语真题（原卷版）
My earliest memory ofthese events began when I was around four years old. I was filled with ___12___ at that time. There were lots of ___13___ — crying, shouting, and doors slamming (砰地关上).
2022年湖北省恩施州中考英语真题（解析版）
Once, herfather took her to the kitchen. He asked Jane to take a potato, an egg ____11____ two spoons of tea leaves. Jane was ____12____, andasked her father, “Do you want me to cook?”
2022年广西贵港市中考英语真题（原卷版）
Melatonin(褪黑素) is produced by the body to control when you get sleepy and whenyou wake up. As night falls, the levels of melatonin rise, telling the bodythat it’s time for bed. And the levels naturally fall as daylight comes near,getting you ready to greet the day.
2022年湖北省十堰市中考英语真题（解析版）
My arms were shaking and my heart was beating ____19____ when I stood at thestarting line. ____20____the endless runway (跑道), I felt like a boat fighting against the windand rain. I ____21____myself that simply joining in was a victory (胜利) itself.
2022年湖北省十堰市中考英语真题（原卷版）
My arms were shaking and my heart was beating ____19____when I stood at the starting line. ____20____ the endless runway (跑道), I felt like a boatfighting against the wind and rain.
