(2)相似多边形的对应边的比称为相似比;(3)当相似比为1时,两个多边形全等.二、运用相似多边形的性质.活动3 例:如图27.1-6,四边形ABCD和EFGH相似,求角 的大小和EH的长度 .27.1-6教师活动:教师出示例题,提出问题;学生活动:学生通过例题运用相似多边形的性质,正确解答出角 的大小和EH的长度 .(2人板演)活动41.在比例尺为1﹕10 000 000的地图上,量得甲、乙两地的距离是30 cm,求两地的实际距离.2.如图所示的两个直角三角形相似吗?为什么?3.如图所示的两个五边形相似,求未知边 、 、 、 的长度.教师活动:在活动中,教师应重点关注:(1)学生参与活动的热情及语言归纳数学结论的能力;(2)学生对于相似多边形的性质的掌握情况.三、回顾与反思.(1)谈谈本节课你有哪些收获.(2)布置课外作业:教材P88页习题4.4
4.x的值是否可以任意取?如果不能任意取,请求出它的范围,[x的值不能任意取,其范围是0≤x≤2]5.若设该商品每天的利润为y元,求y与x的函数关系式。[y=(10-8-x) (100+100x)(0≤x≤2)]将函数关系式y=x(20-2x)(0 <x <10=化为:y=-2x2+20x (0<x<10)…(1)将函数关系式y=(10-8-x)(100+100x)(0≤x≤2)化为:y=-100x2+100x+20D (0≤x≤2)…(2)三、观察;概括1.教师引导学生观察函数关系式(1)和(2),提出问题让学生思考回答;(1)函数关系式(1)和(2)的自变量各有几个? (各有1个)(2)多项式-2x2+20和-100x2+100x+200分别是几次多项式?(分别是二次多项式)(3)函数关系式(1)和(2)有什么共同特点? (都是用自变量的二次多项式来表示的)(4)本章导图中的问题以及P1页的问题2有什么共同特点?让学生讨论、归结为:自变量x为何值时,函数y取得最大值。2.二次函数定义:形如y=ax2+bx+c (a、b、、c是常数,a≠0)的函数叫做x的二次函数, a叫做二次函数的系数,b叫做一次项的系数,c叫作常数项.
教学目标:1、理解并掌握正切的含义,会在直角三角形中求出某个锐角的正切值。2、了解计算一个锐角的正切值的方法。教学重点:理解并掌握正切的含义,会在直角三角形中求出某个锐角的正切值。教学难点:计算一个锐角的正切值的方法。教学过程:一、观察回答:如图某体育馆,为了方便不同需求的观众设计了多种形式的台阶。下列图中的两个台阶哪个更陡?你是怎么判断的?图(1) 图(2)[点拨]可将这两个台阶抽象地看成两个三角形答:图 的台阶更陡,理由 二、探索活动1、思考与探索一:除了用台阶的倾斜角度大小外,还可以如何描述台阶的倾斜程度呢?① 可通过测量BC与AC的长度,② 再算出它们的比,来说明台阶的倾斜程度。(思考:BC与AC长度的比与台阶的倾斜程度有何关系?)答:_________________.③ 讨论:你还可以用其它什么方法?能说出你的理由吗?答:________________________.2、思考与探索二:
[教学目标]1、 理解并掌握正弦、余弦的含义,会在直角三角形中求出某个锐角的正弦和余弦值。2、能用函数的观点理解正弦、余弦和正切。[教学重点与难点] 在直角三角形中求出某个锐角的正弦和余弦值。[教学过程] 一、情景创设1、问题1:如图,小明沿着某斜坡向上行走了13m后,他的相对位置升高了5m,如果他沿着该斜坡行走了20m,那么他的相对位置升高了多少?行走了a m呢?2、问题2:在上述问题中,他在水平方向又分别前进了多远?二、探索活动1、思考:从上面的两个问题可以看出:当直角三角形的一个锐角的大小已确定时,它的对边与斜边的比值________;它的邻边与斜边的比值________。(根据是__________________。)2、正弦的定义 如图,在Rt△ABC中,∠C=90°,我们把锐角∠A的对边a与斜边c的比叫做∠A的______,记作________,即:sinA=________=________.3、余弦的定义 如图,在Rt△ABC中,∠C=90°,我们把锐角∠A的邻边b与斜边c的比叫做∠A的______,记作=_________,即:cosA=______=_____。(你能写出∠B的正弦、余弦的表达式吗?)试试看.___________.
2,在“数高楼”这一音乐游戏中,培养幼儿打击4/4,2/4拍音乐的节奏,并在此基础上进行一2/4拍乐曲的节奏的不同打法。 3,培养幼儿的协商合作能力,及音乐表现力。准备:1、画有楼房的表格2张,空表格3—6张及若干可用于粘贴的楼房画; 2、录音机 数高楼的音乐磁带过程:(一)听《铃儿响叮当》音乐幼儿坐到位置上; 1、发声练习 提醒幼儿用轻声,并将身体坐正; 2、复习歌曲《数高楼》 指出其中不足之处。
In the late autumn, John was badly ill andbecame bedridden (长期卧床的).After the doctor visited John several times, he told Sue, “His condition isquite ___22___.John seems to have lost all will to live. If he doesn’t want to live, medicineswill not help him.”
YangHongwei, 56, was born into a kite-making family in Weifang. When she was young,she often saw kites with bright colors and different shapes in hergrandfather’s workshop.
In the large yard stood thirteen trees ofdifferent sizes. One day, while Joey was playing with his sister under thetrees, he noticed that a tree trunk (树干) had a sad look. He raninto the house to tell his mom about it. She told Joey to find the reason whyit was sad.
As a boy, Kevin visited national parks and helearned the Earth is in ___12___ condition. He felt worried, and hewanted to ___13___ the Earth. In 2009, he went to swim in water nearNorth Pole(北极)todraw people’s attention to the melting glaciers(融化的冰川).
Long ago, a poor old couple lived on the coast.One day, an old storyteller came to their village. The old couple gave him ameal. In return, he gave them a coffee mill (磨粉机)and said, “Say, ‘Mill, please grind (磨粉)’,”
In the large yard stood thirteen trees ofdifferent sizes. One day, while Joey was playing with his sister under thetrees, he noticed that a tree trunk (树干) had a sad look. He raninto the house to tell his mom about it. She told Joey to find the reason whyit was sad.
As a boy, Kevin visited national parks and helearned the Earth is in ___12___condition. He felt worried, and he wanted to ___13___ the Earth. In 2009, he went to swim in waternear North Pole(北极)todraw people’s attention to the melting glaciers(融化的冰川).
The app — called Sit With Us — is ___15___. If a student is having lunch in the afternoon,he or she can create an invitation. Other students can open the app and ___16___ that invitation. They can then use the app todecide when and where to ___17___.
Thinking that her dream could never come true,Kelly was in low spirits and ____18____ her studies at school. Hermother did all she could to cheer her up, ____19____ Kelly refused tochange. She even took out all her anger and ____20____ on her mother.
At the age of nine, Kelly dreamed of being abasketball player. But one day when she was playing basketball, she hurt herleft leg ____16____.
Antarctica lies in the most southern part of theworld. It is the coldest area on Earth. There isn’t much rain, but there is alot of snow and wind. The lowest temperature was on 21 July in 1983 at -89.2℃!
During 1907-1909, British explorer EarnestShackleton explored Antarctica on foot. In 1911, two explorers—a British mannamed Scott and a Norwegian named Amundsen—raced 1, 400 kilometres to the SouthPole (南极).Amundsen arrived first.
Taiping nijiaojiao is made of the mudfrom the local mountain. It takes more than ten steps to make the clay toy, andthe key step is to knead (捏) it with your hands. You can knead the clay toyinto anything, like animals and plants. The blowhole is the most difficult partto make, for the size of the blowhole makes a difference to the sound. Whilecoloring, you can use traditional cultural elements (元素) thatcarry good meanings. It’s hard to make taipingnijiaojiao. But when you finally make it, you will feel proud of yourself.
“Red Trip” in TonghuaTonghua is a good choice to have a “red trip”. It is aplace full of “red stories”. The well-known national hero Yang Jingyu oncefought here. Experience the “red spirit”!
I joineda band (乐队)as a drummer in my middle school. I thought itwould be fun playing the drum and meeting new friends. At first it was easy,but a month later, it got difficult. I was the only one who couldn’t keep pace (节奏)with the other players. Our teacher,Angie, singled me out to keep practicing while everyone else got to relax. Ifelt ashamed (羞愧的)as my teammates watched me fail so many times.Finally I got so tired of practicing that I didn’t care about doing it right.
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