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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3二项式系数的性质教学设计
1.对称性与首末两端“等距离”的两个二项式系数相等,即C_n^m=C_n^(n"-" m).2.增减性与最大值 当k(n+1)/2时,C_n^k随k的增加而减小.当n是偶数时,中间的一项C_n^(n/2)取得最大值;当n是奇数时,中间的两项C_n^((n"-" 1)/2) 与C_n^((n+1)/2)相等,且同时取得最大值.探究2.已知(1+x)^n =C_n^0+C_n^1 x+...〖+C〗_n^k x^k+...+C_n^n x^n 3.各二项式系数的和C_n^0+C_n^1+C_n^2+…+C_n^n=2n.令x=1 得(1+1)^n=C_n^0+C_n^1 +...+C_n^n=2^n所以，(a+b)^n 的展开式的各二项式系数之和为2^n1. 在(a+b)8的展开式中,二项式系数最大的项为 ,在(a+b)9的展开式中,二项式系数最大的项为 . 解析:因为(a+b)8的展开式中有9项,所以中间一项的二项式系数最大,该项为C_8^4a4b4=70a4b4.因为(a+b)9的展开式中有10项,所以中间两项的二项式系数最大,这两项分别为C_9^4a5b4=126a5b4,C_9^5a4b5=126a4b5.答案:1.70a4b4 126a5b4与126a4b5 2. A=C_n^0+C_n^2+C_n^4+…与B=C_n^1+C_n^3+C_n^5+…的大小关系是( )A.A>B B.A=B C.A<B D.不确定 解析:∵(1+1)n=C_n^0+C_n^1+C_n^2+…+C_n^n=2n,(1-1)n=C_n^0-C_n^1+C_n^2-…+(-1)nC_n^n=0,∴C_n^0+C_n^2+C_n^4+…=C_n^1+C_n^3+C_n^5+…=2n-1,即A=B.答案:B
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).
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年黑龙江省龙东地区中考英语真题（原卷版）
B: It’s about theexperiments three astronauts are doing on the space station.A: That’s great. I’minterested in space, so I want to be an astronaut like them.
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年黑龙江省哈尔滨市中考英语真题（原卷版）
I often use old clothes that people don’t wearany more to make bags. I opened a small shop in my community and set up awebsite to sell the bags online. Many customers think they are fantastic. Now Iplan to write a new book about ways to use old clothes.
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年湖南省怀化市中考英语真题（解析版）
I often hear some students say English isdifficult, so they can’t learn it well. ___11___ English is very easy for me. I’m good ___12___ it. I’m very glad to tell you ___13___ about how I study English.
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年湖南省怀化市中考英语真题（原卷版）
___14___, I think an interest in Englishis very important. When I was in Grade Three, we had a new ___15___ — English,it was new for me. I was interested in it. I worked hard at it. Soon we had anEnglish exam and I got a very good mark. How ___16___ I was! After that,I learned English harder. Our English teacher often teaches us English songs,and ___17___ sound nice. I often think how interesting English is!
2022年湖南省常德市中考英语真题（解析版）
Bike-to-Work Day is held every year across North America on thethird Friday of May. It was started by the League of American Bicyclistsin 1956. Its aim is to promote (促进) the bicycle as a serious choice of getting toand from work. In today’s world where global warming is a serious issue, thebicycle is a perfect way of reducing our carbon (碳) footprint.
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年湖北省鄂州市中考英语真题（原卷版）
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（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年湖南省岳阳市中考英语真题（原卷版）
FIFA World Cup is one of the biggest sportsevents in the world. It ___11___ every 4 years. The first World Cup wasin 1930. It has a history of over 90 years. During the World Cup, ___12___fans watch the games and cheer for their favorite teams or players. We haveknown some famous football players from the football competitions, such asBeckham, Messi, and Figo. They have excited football fans for many years.
