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2019-2020年六年级圆的周长与面积典型练习题六年级数学备课组【知识分析】同学们,我们已经学习了圆的周长和面积,并掌握了它们的计算方法,先自己回顾一下圆的周长和面积的相关知识,在解决实际问题时,我们常常要根据周长或面积先求半径,可很多时候半径平方能更好的解决问题。【例题解读】【例1】有一根绳子长31.4m,小红、小东和小林分别想用这根绳子在操场上围出一块地,怎样围面积最大?【思路简析】可以围成什么形状?长方形、正方形或圆形。根据绳子长31.4米也就是围成图形的周长;根据周长可以求出长方形、正方形或圆形的什么条件?正方形:根据周长先求边长:31.44=7.85米 根据边长边长求面积:7,857.85=61.6225平方米长方形:根据周长先求长+宽:31.42=15.7米 根据长和宽的和推算长和宽分别是多少:10和5.7 9和6.7 8和7.7 8.4和7.3 8.3和7.4根据“两个因数相差越小,它们的乘积就越大”判断出长和宽分别是8和7.7面积:87.7=61.6平方米圆:根据周长31.4米先求它的半径:31.43.142=5米面积:3.1455=78.5平方米答:围成圆形面积最大。【例2】一个长方形和正方形的面积都是1225平方厘米,一个圆的面积是1256平方厘米。这三个图形的周长那个最大?哪个最小?如果这三个图形的面积相等,你能发现它们的周长之间的大小关系吗?【思路简析】根据面积先求什么?1225=5577=3535=2549=1225平方厘米长方形的长和宽分别是:25厘米和49厘米正方形的边长是:35厘米圆的半径平方是:12563.14=400厘米=2020圆的半径=20厘米那么:长方形的周长=(25+49)2=148厘米正方形的周长=354=140厘米圆的周长=3.14202=125.6厘米答:当面积相等时,圆的周长正方形的周长长方形的周长【想一想】通过例1和例2的学习,你发现什么?【结论】 【经典题型练习】1、 如下图,正方形的面积是2d.求圆的面积。2、 如图1所示的四个正方形的边长都是1,图中的阴影部分的面积依次用S1,S2,S3,S4表示,则S1,S2,S3,S4从小到大排列依次是 。3、已知半圆中三角形ABC的高是5厘米,面积是30平方厘米,求阴影部分面积。圆的周长与面积专项训练一、求下列各图形的周长和面积。(单位:cm) 二、求下列各阴影部分的面积(单位:cm)二、解决问题。1、玉海公园中的一个花坛,直径是6米,在它的外面铺一条小路,小路宽1米,求小路的面积?2、一张圆形桌面的直径是12分米,它的周长是多少分米?它的面积是多少平方分米?3、一辆自行车的车轮外半径是40cm,车轮每分钟转100圈。要通过2512米的桥,大约需多少分钟? 附送:2019-2020年六年级培训班英语结业试卷听力部分:40%一、 选择你所听到的单词,将字母代号填入括号内:(10分)( ) 1. A. his B. is C. sit( ) 2. A. food B. foot C. look( ) 3. A. us B. use C. bus( ) 4. A. tea B. sea C. dear( ) 5. A. whose B. who C. shoe( ) 6. A. fine B. kind C. cat( ) 7. A. leg B. let C. bed( ) 8. A. hat B. cap C. sad( ) 9. A. got B. not C. hot( )10. A. take B. lake C. cake二、 听句子,选择你所听到的单词,将字母代号填入括号内. (7分)( ) 1. A. pupil B. people C. paper( ) 2. A. son B. sun C. some( ) 3. A. tree B. sweet C. street( ) 4. A. right B. write C. white( ) 5. A. coat B. cant C. count( ) 6. A. cake B. take C. make( ) 7. A. thank B. think C. thin三、听句子,根据其意思,选择适当的回答。(12分)( )1. A. Thank you.B. Yes, I can. ( )2. A. Yes, there is. B. Yes, it is.( )4. A. Yes,it isB. Its in Hunan( )5.A .Good afternoon.B. Good evening.( )6. A. Im from China. B. Im 12.四、选择你所听到的句子。(12分)( )1. A. What do you do at weekends?B. What do you do at home?( )2. A. Can I help you?B. Can I help her?( )3. A. Whats the price of this box?B. Whats the price of this pencil-box?( )4. A. Could you tell me the way to the nearest bank?B. Could you tell me the way to the nearest post office?( )5. A. What does Bobs father do?B. What does Jims father do?( )6. A. My sister is a young woman.B. My teacher is a young woman. 笔试部分: 60%一、选择 am, is, are 填空。(10分) (1) Where your parents? They in the supermarket.(2) There a pen on the desk. There some milk in the bottle.(3) That an eraser. Those buses.(4) My father 42 years old.(5) How are you? I fine.(6) What these? (7) Where my shoes?二、找出不同类的单词。(10分)1. morning, ing,going _2. table,coffee , milk _3. pencil,shop, clock _4. thin, tall, yellow _5. jeans,camera, shirt _6. six,fifty, fine _7. Korea, New York, Brazil 8.USA, China, David 9. red, blue, colour 10. Carson, Smith, Mrs 三选择 who, which, where, what, whose, how old, how, how many填空。(8分)(1) A: is Linda from? B: England. (2) A: is that man? B: Hes my uncle. (3) A: is your sister? B: Shes eleven.(4) A: friends have you? B: I have four. (5) A: are you? B: Im OK, thanks.(6) A: book is this? B: Its mine.(7) A: boy is your brother? B: That thin boy.(8) A: is that? B: Its my pencil-box.四、根据汉语要求选择正确的英语句子。(8分)( )1. 今天天气很好,咱们散散步吧。A. Its fine today. Lets go for a walk.B. Its a bad day today. Lets go on foot.( )2. 你去买东西时,售货员会问你 ?A. What can I do for you?B. What do you like?( )3. 你向别人介绍自己的老师时,你说_A. Kate, this is my teacher.B. Kate, this teacher is my.( )4. 你去医院看病时,医生要问你:_ A. Whats wrong with you?B. Whats this?五、给下列句子选择合适的应答句,将答句前的字母代号填入括号内:(10分) ( ) 1. Which grade are you in? A. Its a puter.( ) 2. Where are you from? B. Im in Grade Six.( ) 3.Whats Jims telephone number? C. Glad to meet you, too.( ) 4. How are you? D. Its 8943-5634.( ) 5. Glad to meet you. E. Yes, there is. ( )6.Is Miss Yang your teacher? F.Yes, I am( ) 7. Bye, have a nice day. G. I am from Changsha.( ) 8. Is there a pen in your bag? H. Thanks a lot, you too. ( ) 9.What is this? I. Im fine.( )10.Are you in my English class? J. No, she isnt.六、选择填空。(10分)( )1. What _doing?A. are they B. do they C. does they( )2. Are you a student?_.A. Yes,Im. B. No,I not. C. Yes,I am.( )3. What does that woman do?_.A. Shes a teacher. B. Shes Nans mother.C. Her name is Nan.( )4. What colour are your new pencils?_.A. Their red. B. Theyre red.C. Theyre colour red.( )5. Miss Li is teaching _Chinese.A. their B. they C. them( )6. Would you like to leave a message? _A. Sorry,shes out. B. OK.C. Excuse me.( )7. _pencils do you want?Two.A. How much B. How many C. How old ( )8. _?Fine,thank you. And you?A. Can I help you? B. How do you do?C. How are you?( )9._cap is this?Its _.A. Whose;mine B. Who is;my C. Whos;mine( )10._is the man over there?Hes Toms brother.A. What B. Where C. Who七、补全对话。(每空一词)(4分)A:Good afrernoon!Can _ _you?B:Yes,please. I_a T-shirt.A:Try this one.B:But I dont like the colour.A:How _ the yellow one?B:Thats OK. How _is it?A:Its twenty yuan. Here _are.B:_ _ very much. Goodbye.A:Goodbye.听力材料及答案材料听力材料一 选择你所听到的单词,将字母代号填入括号内:1his 2.foot 3.bus 4.tea 5.whose 6.fine 7.bed 8.cap 9.not 10.cake二听句子,选择你所听到的单词,将字母代号填入括号内.1. How many people are there in your family?2. Whats Mr Greens son? Hes doctor.3. There are some buses in the street.4. Lets go and play table tennis. All right.5. I have a green coat6. Can I have a pear? Sure. But take the small one.7. Thank you very much.三、听句子,根据其意思,选择适当的回答。(12分)1 Happy birthday to you.2 Is there a bird in the tree?3 Where is Changsha?4 Good afternoon.5 How old are
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