本文目录
五年级上册七个单元的数学思维导图怎么画
思维导图要通过利用颜色、线条、图形、联想和想象来绘制。
用文字将自己的想法“画出来”,用图像将数字呈现出来,把一长串枯燥的信息变成彩色的、容易记忆的、有高度组织性的图画。
画思维导图首先要抓住知识的中心点,而后把知识点进行归纳分类,为思维导图增添分支。
扩展资料:
思维导图能将知识点以图形的形式展现出来,把复杂的数学逻辑推理简单化,完全符合人类记忆理解能力特点,效果提升数百倍;充分利用了右脑对图像的记忆功能,大大提高我们对数学公式、定义的记忆功能;五年级下册数学思维导图对数学考试,思考问题,集中注意力,分析解决问题,知识剖析及归类等也有很大的作用。
数学思维导图怎么画
首先明确思维导图的中心内容(中心主题),接着围绕该中心主题扩展分支内容(想要从哪个方向解决什么问题)。
例如本节需要讲解一次函数(中心主题)的数学知识,那么可以围绕定义、表示、图像、性质等(分支内容)方向扩展内容,直至知识内容扩展完毕。
上述一次函数的数学思维导图体现了一次函数的定义、表示、图像、性质和特殊(正比例函数)等内容,其中正比例函数并未展开绘制。
不同授课方式和授课内容讲到的重点可能会存在差异,在实际数学思维导图的制作中需要根据实际情况绘制,例如将讲到的内容作为重点绘制,其余内容则视情况延展。
注:从不同方向或角度思考,思维导图呈现的结果也会存在不小差异。
数学思维导图常见作用
1、辅助记忆知识点(整理思维导图的过程就已经将知识内容梳理了一遍,还可结合各节点的差异帮助记忆知识点);
2、培养总结能力(思维导图具有层次性和联想性,想要绘制一份合乎逻辑的数学思维导图,除了梳理知识内容外,还需要具备总结能力);
3、帮助理清学习思路(引导学生主动思考、总结、归纳知识点,为灵活运用知识奠定基础);
4、凸显绘制者的思考特点(思维导图的制作是灵活的,不同思考方向所绘制的内容会存在差异,可用于凸显绘制者思考特点)。
初中数学知识点归纳图
本文整理了初中数学知识点思维导图,欢迎阅读。
初中数学思维导图
数学思想方法总论
初中数学一线牵,代数几何两珠连;
三个基本记心间,四种能力非等闲。
常规五法天天练,策略六项时时变,
精研数学七思想,诱思导学乐无边。
一线:函数一条主线(贯穿教材始终)
二珠:代数、几何珠联璧合(注重知识交汇)
三基:方法(熟)知识(牢)技能(巧)
四能力:概念运算(准确)、逻辑推理(严谨)、空间想象(丰富)、分解问题(灵活)
五法:换元法、配方法、待定系数法、分析法、归纳法。
六策略:以简驭繁,正难则反,以退为进,化异为同,移花接木,以静思动。
七思想:函数方程最重要,分类整合常用到,
数形结合千般好,化归转化离不了;
有限自将无限描,或然终被必然表,
特殊一般多辨证,知识交汇步步高。
以上就是我整理的初中数学思维导图,感谢阅读。
中考英语数词知识点总结
漫长的学习生涯中,大家都背过各种知识点吧?知识点是知识中的最小单位,最具体的内容,有时候也叫“考点”。想要一份整理好的知识点吗?以下是我为大家整理的数词的英语知识点总结,仅供参考,大家一起来看看吧。
数词的英语知识点总结 1
(一)基数词在英语中表示数目的词称为基数词。
1.基数词的构成
(1)1-20
one,two,three,four,five,six,seven,eight,nine,ten,eleven,twelve,thirteen,fourteen,fifteen,
sixteen,seventeen,eighteen,nineteen,twenty
(2)21-99 先说“几十”,再说“几”,中间加连字符。
23→twenty-three,34→thirty-four,
(3)101—999先说“几百”,再加and,再加末两位数或末位数;
586→five hundred and eighty-six,803→eight hundred and three
(4)l,000以上,先从右往左数,每三位数加一个“,”,第一个“,”前为thousand.第二个“,”前为million,第三个“,”前为billion,然后一节一节地表示。
9,785→nine thousand, seven hundred and eighty-five
6,260,309→six million two hundred and sixty thousand three hundred and nine
750,000,000,000→seven hundred and fifty, billion
2.基数词的用法
(1)表示数量
Eg. 一 How many books would you like?
一I would like two.
(2)表示号码
eg.My phone number is 6887789.
(3)表示时间
eg.I watch CCTV News at seven o’clock every evening.
(4)表示“…十”的数词的复数可以表示人的岁数或年代。
eg. He is in his early thirties.他有三十来岁(31—34岁):
This took place in the 1930s.这事发生在二十世纪三十年代;
(5)表具体数字时,hundred,thousand,million用单数。
eg. There are six hundred students in our grade.
(6)表不确定的数字时,数词用复数。若带名词,再加of ,hundreds of(数百,成百上千 的),thousands of(数干,成千上万的),millions of(数百万)
eg 。 Hundreds of old people died of cold last winter.
(二)序数词在英语中表示顺序、次序的词称为序数词。
1.序数词的构成
(1)一般在基数词后加th, eg.four→fourth,thirteen→thirteenth,多位数把个位变序数词。
基数词变为序数词的规则(口诀):
基变序,有规律,词尾加上 th;一、二、三特殊记,结尾t、d、d。
八减t,九减e,f要把ve替。ty把y改为i,记得th前有个e。
2.序数词的用法
(1.)the+序数词,表示“第几”
John lives on the fifteenth floor
(2).aan+序数词,表达"再一,又一"
eg.We'll have to do it a second time.
(3)年月日的表达
年用基数词表示,日用序数词表示
(4)分数的表达
分子用基数词,分母用序数词。分子大于1,分母加-s。
(5)序数词也可以用作副词,
When did you first see him?
(6)基数词也能表示顺序,如书刊的页的数目,住所、房间、教室、电话号码等等。
Page Eight, Room 304,Class Seven,
(7).倍数表示法
主语+谓语+倍数(或分数)+ as + adj. + as I have three times as many as you.
我有你三倍那么多。
(8)在…世纪:
in the twenty-first century
常见考法
对于数词的考查,通常是以单项选择、词语运用或听力形式考查学生在具体语言环境中灵活运用数词的能力。
误区提醒
1.在具体语境中正确使用序数词,并能正确书写序数词。
2.在听力中听辨数字和号码,要速记且准确。
3. hundreds of,thousands of,millions of表示约数时的用法。
典型例题1:In _____,Mr.Li began to learn English.
A.his 1990 B. the 1990s C the 1990 D a 1990
解析:从题意中可判断出要表达时间,如果是1990年,那么直接就是in 1990就可以了, C和D排除掉,人是不可能有1990岁的,排除A,B表达的是“十八世纪 九十年代”。
答案:B
典型例题2: September is _________(九) month of the year.
解析:这是一道填空题,考查序数词的拼写。序数词前加the, 故用the ninth.
数词的英语知识点总结 2
1.数词的种类数词分基数词和序数词
基数词是表示自然数列的词,例如;one,two,three,four…..
序数词是表示先后顺序的词,例如:first,second,third,fourth…
2.基数词和序数词的表示法
(1).基数词单词的拼写:1~12为单词,13~19都以后缀-teen结尾,20至90这样的整十数都以后缀-ty结尾,其他基数词中间加连字符号“-”再按照上述的变化进行。
例:21→twenty-one56--fifty-six85→eighty-five
三位数的构成为:几+百+and+末两位(或末一位)数
例:132→onehundredandthirty-two
205→twohundredandfive
千以上的数字的读法:从后面往前,每三位数作为一个单位,分别为thousand,million.
32,548,652,读作:thirtytwomillion,fivehundredandfortyeightthousand,sixhundredandfiftytwo
(2.)序数词=基数词+th(1、2、3为first,second,third)。但以下情况要注意:
1)fifth(第五),eighth(第八),ninth(第九),twelfth(第十二)
2)以ty结尾的基数词变词尾为tieth
例:twenty→twentieth,ninety→ninetieth
3)复合序数词只需要将相应基数词中最后一位变成序数词,其余不变。
例:第二十一→twenty-first
第二百四十五→twohundredandforty-fifth
基数词序数词的用法
1.hundred,thousand,million与数字连用,表示一定量的具体数字,不用复数,但表示不定概念可用复数
例:threehundredpeople,millionsofpeople
2.基数词表示时刻。五年级英语语法知识点
例:7点seveno’clock,7:20seventwenty
3.给某些事物编号
例:LessOnOne=thefirstlesson
BusNo.2 7月1日=JulyI(JulyIst)
1996年6月3日=June3,1996=Junethethird,nineteenninety-six
4.有关分数表示法。分子是基数词,分母是序数词。当分子大于1时,分母就用复数。
例:I’vereadone-fifthofthebooks.
I’vefinishedthree-fifthsofthewords.
数词的英语知识点总结 3
知识要点
表示“多少”和“第几”的词,叫数词。数词分为基数词和序数词两种。
1)基数词:在十位数词和个位数词中间加上连字符 “ - “ 。如: 21 twenty -one‘基数词三位以上的数词, 在百位和十位之间,一般要用连词"and “。 如: 132 one hundred and thirty-two.
表示”万“的词英语中没有。如1万可用10千来表示。 ten thousand. 30万可用 three hundred thousand 来表示。
基数词的用法:
1.编号的事物用基数词: 如:Lesson Five, Room 101
2.表示”年,月,日“ 时用基数词。
3.表示 “几点钟, 几点过几分” 用基数词。 It is two to two. 现在是两点差两分。
4.加减乘除用基数词。 One plus two is three.一加二等于三。Eight minus four is four. 八减四等于四。
Two times two is four.二乘二等于四.Ten divided by two is five.十除二等于五。
5表示百分数用基数词.
Thirty percent of them is water. 它们当中有30%的'水。
6.表示分数时,分子数字用基数词, 但分母要用序数词, 如分子不是1,序数词要用复数形式。
One-fifth of the books are mine. 三分之一的书是我的。
Three-tenths of water is disappeared. 十分之三的水不见了。
2)序数词:表示数目顺序的词用序数词。
1.序数词1━19 除第一,第二,第三,第五,第八,第九, 第十二变化不规则外, 其余均由在基数词后加上 -th。
2.十位整数的序数词的构成方法是, 是将十位整数基数词的词尾 -y 变成 i 再加 -eth。
3.几十几的序数词,只是把个位数变成序数词, 十位数不变。
4.第一百以上的多位序数词 由基数词的形式变结尾部分为序数词形式来表示。
one hundred and twenty-first ,one thousand,three hundred and twentieth
5.序数词的缩写形式 有时,序数词可以用缩写形式来表示。主要缩写形式有。
first--lst second--2nd third--3rd fourth--4th sixth--6th twentieth--20th twenty-third--23rd 其中lst,2nd,3rd为特殊形式,其它的都是阿拉伯数字后加上th。
6.通常前面要加定冠词 the;但是如果序数词前出现不定冠词a或an时,则表示“再”,“又”.
We’ve tried it three times.Must we try it a fourth time?
7.基数词也可以表示顺序。只需将基数词放在它所修饰的名词之后(名词需大写) 即可,不需要添加定冠词。
the first lesson-Lesson One ,the fifth page-Page 5, the twenty-first room-Room 21
练习请看第二页
1. I‘ve read ______ sports news about the F1 race today.
A. two B. pieces C. two pieces D. two pieces of
2. During World War II, a Jewish(犹太)lady was protected by a local family in Shanghai in her ______.
A. fifties B. fifty C. fiftieth D. the fiftieth
3. The river through our city, which is about _________, is clean again.
A. 6000 meters long B. 6000-metres-long
C. 6000-metre-long D. 6000 meter long
4. I study in Yu Cai Middle School. There are two ____students in our school.
A. thousand B. thousands C. thousand of D. thousands of
5. They said they would have holiday.
A. a two-month B. two months C. two-months D. two-month’s
6.-When was the PLA founded?
-It was founded on ____.
A. July 1. 1921 B. October 1.1949
C. May 1.1922 D. August 1.1927
7. In the past two years, many tall buildings have been built in our city. The tallest is an that stands in the centre.
A. 80-floor building B. 60-floor building
C. 80-floor buildings D. 70 floors building
8.The number of people invited ____ fifty, but a number of them _____absent for different reasons.
A. were ; was B. was ; was C. was ; were D. were ; were
9.- How soon will you finish your work? -In about _______.
A. one and a half month B. one month and a half
C. one and half a month D. a month and half
10.-Would you like some fruit, madam? -Oh, yes. _______, please.
A. 5 kilo bananas B. 5 kilos of bananas
C. 5 kilo of bananas D. 5 kilos of banana
小升初英语专项练习 完形填空及答案1
John sent for a doctor because his wife was ill. He called the doctor and made sure they ___1___ meet at five. He arrived at the doctor’s at twenty ___2___ five. He thought, “ It’s a little bit earlier. I’ll wait for a moment. It’s good ___3___ there on time.”
___4___ he stopped his car in front of the doctor’s. He ___5___ and saw a noisy square not far from here. He went there and sat down on a chair to enjoy the last light of afternoon sun and ___6___ himself quiet. He saw some children playing and some women talking to each other happily.
Suddenly he ___7___ a girl crying. He came up to her and asked some questions. Then he knew she got lost. John tried to find out her ___8___ and took her home. The girl’s parents were very thankful.
Then John hurried to the doctor’s. When the doctor saw him, he was very ___9___ and said, “You’re late. Why did you keep me waiting for twenty minutes?” John said ___10___ except one word—sorry.
1. A. should B. shall C. would D. will
2. A. past B. to C. of D. after
3. A. to arrived at B. to get C. to leave D. to ride
4. A. Every time B. From now on C. Before D. Then
5. A. looked for B. looked after C. looked at D. looked around
6. A. made B. let C. had D. felt
7. A. hears B. was hearing C. heard D. would hear
8. A. name B. school C. age D. address
9. A. polite B. angry C. happy D. kind
10 A. something B. everything C. anything D. nothing
【答案】CBBDDACDBD
小升初英语专项练习 完形填空及答案2
When you are in England, you must be very careful in the streets ___1___ the traffic drives___2___ the left. ___3___ you cross a street, you must look to the ___4___ first and then left.
In the morning and in the evening when people go to or come from work, the streets are very___5___. Traffic is most dangerous then.
When you go by bus in England, you have to be ___6___, too. Always remember the traffic moves on the left. So you must be careful. Have a look first, ___7___ you will go the wrong way.
In many English cities, there are big buses ___8___ two floors. You can sit on the second floor.___9___ there you can see the city very ___10___. It’s very interesting.
1. A. so B. but C. however D. because
2. A. in B. on C. to D. by
3. A. After B. While C. Before D. But
4. A. left B. right C. buses D. front
5. A. busy B. long C. many D. dirty
6. A. safe B. busy C. dangerous D. careful
7. A. and B. or C. because D. when
8. A. with B. in C. on D. for
9. A. On B. From C. Off D. To
10. A. well B. good C. fine D. nice
【答案】DBCBADBABA
小升初英语专项练习 完形填空及答案3
Once there was a boy in Toronto. His name was Jimmy. He started drawing when he was three years old, and when he was five he was already very ___1___ at it. He drew many beautiful interesting pictures, and many people ___2___ his pictures. They thought this boy was going to be ___3___ when he was a little older, and then they were going to ___4___ these pictures for a lot of money.
Jimmy’s pictures were quite different from other ___5___ because he never drew on all of the paper. He drew on ___6___ of it, and the other half was always ___7___.
“That’s very clever,” everybody said. “___8___ other people have ever done that before.”
One day somebody asked him, “Please tell me, Jimmy. Why do you draw on the bottom (底部) half of your pictures, ___9___ not on the top half?”
“Because I’m small,” Jimmy said, “and my brushes (毛笔) can’t ___10___ very high.”
1. A. poor B. sad C. glad D. good
2. A. bought B. brought C. sold D. took
3. A. different B. clever C. famous D. rich
4. A. buy B. show C. leave D. sell
5. A. men’s B. people’s C. boy’s D. child’s
6. A. half B. part C. side D. end
7. A. full B. empty C. wrong D. ready
8. A. No B. Some C. Any D. Many
9. A. then B. and C. but D. or
10. A. change B. turn C. pull D. reach
【答案】DACDBABACD
小升初英语专项练习 完形填空及答案4
Mr Smith lives in the small village, but he works in an office in a big city. He goes to work by train every morning and comes ___1___ the same way.
One morning while he was ___2___ his newspaper on the train, a man ___3___ him came up to him. Mr Smith had not met him before. The man said, “___4___ ” to him and then ___5___ to talk to him. The man said, “Your ___6___ isn’t interesting, is it? You got on the same train at the same station at the same time ___7___ morning and you always sit in the same seat and read the same newspaper.”
When Mr Smith ___8___ this, he put his newspaper down, turned around and ___9___ to the man angrily, “How do you know all that about me?”
“Because I’m ___10___ sitting in the same seat behind you,” the man answered.
1. A. family B. house C. village D. home
2. A. seeing B. look C. reading D. finding
3. A. before B. behind C. beside D. next to
4. A. Sorry B. Thanks C. Hello D. Goodbye
5. A. refused B. stopped C. ordered D. began
6. A. life B. work C. office D. child
7. A. one B. every C. this D. yesterday
8. A. heard B. listened C. found D. felt
9. A. asked B. said C. told D. talked
10. A. never B. hardly C. always D. sometimes
【答案】DCBCDABABC
小升初英语专项练习 完形填空及答案5
On Christmas Eve a few days ago, an English couple, the Hardens, got a very special call. It was only a 20-second call but it was very ___1___. The Hardens’ 15-year-old daughter has gone ___2___ six months before. On Christmas Eve she rang them. “I’m phoning to wish you a happy Christmas, ” she said, “I love you.”
Ronals and Edwine Harden were so ___3___ that they started a special telephone service(服务)called “Alive and Well”. The service helps ___4___ to get in touch with children who have run away from home.
Young people can phone “Alive and Well” and leave a message for their parents. The telephone are answered by answering machines. So ___5___ can speak to the child or make him return home. Parents of runaway children who are ___6___ eighteen can ask the police to bring their children home. So children do not want to tell their parents where they are. Through “Alive and Well” they can telephone their parents and they do not ___7___ about this or giving out their addresses.
The Hardens and their helpers ___8___ the telephone messages and connect(联系)the addresses given. About 30,000 British teenagers have left home and many of them are probably in ___9___. For only two pence(便士)they can go into a telephone coin box and call their parents. They can dial 5675339 and ___10___ a parent's worry: Is he dead or alive?
1. A. interesting B. important C. difficult D. exciting
2. A. away B. out C. back D. along
3. A. angry B. happy C. sad D. kind
4. A. teachers B. people C. parents D. friends
5. A. someone B. anyone C. everyone D. no one
6. A. at B. above C. over D. under
7. A. think B. worry C. talk D. hear
8. A. ask for B. listen to C. look up D. write down
9. A. Paris B. Tokyo C. London D. New York
10. A. stop B. make C. feel D. leave
【答案】BABCDDBDCA
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