Ⅰ 初中特殊四边形的性质知识树
初中特殊四边形的性质知识树如下：
数学学科简述：
数学：英语：mathematics，源自古希腊语μθημα（máthēma）；经常被缩写为math或maths]，是研究数量、结构、变化、空间以及信息等概念的一门学科。 数学是人类对事物的抽象结构与模式进行严格描述的一种通用手段，可以应用于现实世界的任何问题，所有的数学对象本质上都是人为定义的。
从这个意义上，数学属于形式科学，而不是自然科学。不同的数学家和哲学家对数学的确切范围和定义有一系列的看法。 在人类历史发展和社会生活中，数学发挥着不可替代的作用，同时也是学习和研究现代科学技术必不可少的基本工具。
Ⅱ 初中英语知识树怎么绘
用ppt 话一个树形的图，然后按照主次把知识点插上。
Ⅲ 谁有英语的介词用法大全
1、介词的分类与语法功能
（1）介词是虚词，不能单独作句子成分，必须与名词、代词（或相当于名词的其他词类、短语或从句等）构成介词短语，在句中充当一个成分。介词分为：简单介词，如at、in、for等；合成介词，如within、inside、onto、througout等；短语介词，如according to、out of、because of、by means of、in spite of、instead of等。双重介词，如from behind / above / under、until after等。分词介词，如considering、including、judging(from / by) 等。
常见的介词宾语：名词、代词、动名词、从句、不定式等。如：
①It is going to rain this afternoon according to the weather
forecast.
②He quarrelled with her yesterday.
③He succeeded in passing the final exam.
④I’m still thinking of how I can fulfil the task ahead of time.
⑤The professor will give us a talk on how to study English well.
（2）介词短语在句中可作表语、定语、状语和宾补等。如：
①This machine is in good condition.(表语)
②Where is the key to my bike?(定语)
③Nothing in the world could live without air or water.(状语)
④She always thinks herself above others.（宾补）
2、介词搭配
（1）“动词+介词”搭配：注意特定搭配与同一介词与多个动词搭配意义不同的情况。
①rob sb. of sth. / clear the road of snow(“夺去、除去”意
义的动词与of 连用)
②supply us with food / fill the glass with wine（“供给”意义的动词与with连用）
③make a desk of wood / make bread from flour / make the material into a coat（“制作、制造”意义与of、from、into连用）
④介词 + the + 部位与动词的关系（=动词 + sb.’s + 部位，可换用）
strike him on the head(“击，拍，碰，摸”意义与on连用)
catch him by the arm(“抓，拉，拿，扯”意义与by连用)
hit the boy in the face（“肚，胸，眼，脸”等人体前部与in连用）
⑤prevent(stop, keep)sb. from doing sth.(“阻止，禁止”意义与from连用)
⑥persuade(advise, warn)sb. into doing sth.（“说服，建议”意义与into连用）
⑦buy sb. for sth.(leave、get、win、gain、lose等“得失”意义与for连用)
⑧tell sth.to sb.(show、teach、sing、write、read等“告知”意义与to连用)
⑨give sth. to sb.（give、allow、promise、pass、hand等“授予”意义与to连用）
注意：⑦⑧⑨可换成buy sb.sth.双宾结构。
⑩say to sb.(suggest、explain、apologize、murmur、whisper与“对象”连用必须用to)不可说suggest sb.sth.。
同一动词与不同介词搭配意义不同。
for（寻找） to sth. of(听说) on(拜访)
look to (眺望) agree with sb. hear call for(需要)
at（看） on sth. from(收到信) in(请)
同一介词与不同动词搭配，意义各异。
reply to the letter回信，sing(dance)to the music和……唱（跳），amount to 达到，加起来有……，devote to把……贡献给，drink to为……干杯，object to反对，look forward to 渴望，come to苏醒，belong to属于，search for搜……，ask … for … 寻找，use … for用作，leave for前往，take … for误以为，call of倡导，wait for等待，care for喜欢，make up for弥补损失，turn to求助（救）于，help oneself to随意，agree to同意，compare … to把……比作，send for派人去请（拿）……，sail for驶向，航向，set out for动身去，go in for爱好……。
（2）常见“形容词 + 介词”搭配。
of担心…… about / at sth.
afraid angry
for 替……而担心 with sb.
for sth.渴望…… different from与……不同
amxious
about sth. / sb担心…… different to … 不关心……
of讨厌 with sb.
tired strict
from/ with因……疲倦 in sth.要求严格
at擅长 with sb.受……欢迎
good for对……有益 popular in some place流行在……
of sb. to do so友好 for … 因……而流行
with + 名词或what从句
pleased helpful to对……有帮助
at + 抽象名词（听 / 看到……而高兴）
to sb.为人所知
known for因……而出名 be familiar with熟悉
as作为……出名 be familiar to为……熟知（悉）
sorry for … 替……后悔 disappointed at sth.失望
from缺席
rich in富有…… absent
in离开此地去了……
worthy of值得的，glad about sth. for sb.为某人某事高兴，far from离……远，grateful for sth. to sb.为某事感激某人，free from没有……（免除……），proud of(take pride in)自豪，satisfied with (by)满意，sure of / about确信，fond of喜欢，fit for适合，busy with sth.(in doing sth.)忙着干某事，full of充满，ready for准备，similar to相似，wrong with不对；有毛病……
（3）“名词 + 介词”要注意习惯搭配和意义区分。
the absence of water缺水
the hope of success成功的希望
have a chance of (for) entering college上大学的机会
take pride in them为他们感到骄傲
the key to the question问题的答案
a medicine for cough治咳嗽的药
the ticket for tomorrow明天的票
in Beijing去了北京
his abesence
from Beijing不在北京
to study学习方法
the way
of studying maths学习教学的方法
3、核心介词用法归纳与辨析
（1）表示时间的介词in的用法如下。
表示在某一较长时间内，如世纪、年、月、季、周等一般用介词in，
如：in the 1990s, in the year, in January, in(the) winter / summer / fall / spring, in the first week of May。
还可以用时段名词组成固定短语或词组。如：in a while, in no time, in the daytime, in a short while, in time, in the morning (afternoon, evening)。但要注意：
①at night / at noon, in the day(在白天),in the night（大夜间）。
②in five days（weeks, months, years）中in意思是“在……以后”。
③in和ring表一段时间内两词可互用。如：in the night, ring the night, in the war, ring the war。但略有区别：当接表示“活动”的抽象名词时多用ring，接“活动”的动名词及短语时用in。如：
ring the discussion in discussing the problem
ring her stay in Hubei in playing basketball
ring the course of in digging the tunnel
（2）在具体的某一天或某天上午、晚上、前夕，常用on。
on Sunday(s).on Tuesday morning
on Christmas Day(但at Chrismas),on Christmas Eve, on
Children’s Day
on March 8, on the morning (afternoon, evening)of Oct.1
early on the morning of Oct.1(区别：in the late / early morning of Oct.1)
on a rainy night, on warm winter days
(3)表示某一时刻或某一点时间用at,如小时、分钟等。
at breakfast(supper, lunch),at six
at noon (sunrise, sunset, midday, night, midnight, dawn)
at the age of 15, at the time of war,但in time of danger/ trouble。
注意：有些时间名词前不接介词。如：
next day、last Sunday、that morning、these years
one、each、any、every、some、all修饰时,一般不用介词,如some day
one day、yesterday / afternoon,the night before
（4）till、until、to的用法。
①till(until)与持续动词连用一般用于肯定句中，与短暂动词连用一般用在否定句中。如：
He waited for me till twelve o’clock.
He didn’t get up till(until) 10 a.m.(不可用to).
但注意：在句首出现或强调句型中一般不用till而用until。如：
Not until 9 a.m.did Mr.Smith come back to school.
②to表“终结”时常用和from连用，但要注意不与from连用时的意
义。如：from July to September, from six to(till)eight（从……到……为止），但from morning till night（从早到晚），不能用to。from … to常构成习惯搭配，不可换用其他介词。（A）表持久连续、传递、转移的含义。from time to time(不时，有时)，from day to day (天天),from hand to hand(不断传下去)，from place to place（处处，到处），from side to side(左右摇摆)，from door to door（家家户户），from house to house（挨家挨户），from shop to shop（一个商店接一个商店）。(B)表起始终止的全过程或程度加深、状态变化。from beginning to end(从头到尾，自始至终)（from the beginning to the end of…）;from hand to mouth(仅能糊口)，from bad to worse(越来越糟)，from head to foot(从头到脚),
from top to bottom（整个地，彻底地），from top to toe(全身)，from start to finish（自始至终，从头到尾）。（C）from one + 名词 + to another表示“依次”。如from one car to another（顺着车厢依次地）。（D）名词 + by + 同一单数名词，表示“一个一个地”，要与from … to短语区别开：one by one 一个一个地；little by little(bit)一点一点地；step by step 一步一步地，逐渐地（但by and by 不久以后）；sentence by sentence逐句地；day by day一天一天地；side by side(with…)(和……)并肩，一起；shoulder to shoulder肩并肩地，齐心协力；hand in hand 手拉手，紧紧地;face to face面对面。
（5）in、after、later
①in + 一段时间：表示说话时为起点一段时间之后，与一般将来时连用；但表示“在……之内”时，用于各种时态。
②一段时间 + later(later是副词)：表示某一具体时间或某一方面具体时间算起的一段时间后。
③after + 一段时间表示：“在……之后”，用于一般过去时；但时间为点时间时，只能用after,即after + 点时间，用于各种时态。
The doctor will be with us in six minutes.
She graated in 1981,and eight years later she became the manager of the factory.
He received her letter after four weeks.
另外，in + 一段时间 + ’s + time 与 within + 一段时间的用法如下：
in a week’s time = in a week
They will arrive in three days’ time.(与将来时连用)
My brother’s birthday is in two weeks’ time.（作表语）
I’ll finish the book within two weeks.(within = in less than…用于各种时态，不超出，在……之内)
（6）地点介词at、on、in、to、across、through、over、under、below。
①at 在较小的场所，in在较大的场所，on在……的平面上。如at the
door、at the airport、at the station、at 55 Park Street、in China、in the north、in Asia、on the desk、on the wall等。
②on、at、in还可以表示两地相对位置。若A地属于B地，用in;A地位于B地的外面且有边缘衔接用on；无边缘的衔接有to。如：
Japan lies to the east of China.(范围之外)
Taiwan lies in the southeast of China.（范围之外）
Hunan province lies on the west of Hubei province.(毗邻)
The island lies off the coast of China.(相隔一定距离)
③地点介词的引申、比喻意义：in the sun在阳光下，in the dark(ness)在黑暗中，in the dark不知道，in freezing weather在严寒天气中，in the mud在泥中，in the earth在地下,in the desert在沙漠中,in a heavy rain 在大雨中，in the snow / wind在雪/风中,in public 当众，in trouble 在困境中，get into trouble陷入困境，out of trouble摆脱困难，beyond hope绝望。
④across在物体表面“穿过”；through则表示在三维空间内部“穿过”。如：
They walked across the playground.
I walked through the forest.
⑤over / under / above / below。
over、above译作“在……之上”；under、below译作“在……的下面”，其区别在于over、under表示一种直接的、垂直的上下关系；而above、below则表示一般的“高于”或“低于”，不一定是垂直“在上”或“在下”。如：
A little boat is now under the bridge.
There is a bridge over the river.
The sun sinks below the horizon(地平线)
The window is well above the tree.
⑥表示地点介词的静态性和动态性
He walked to the station（静态，表示方向和目的地）
He walked towards the station.(动态，只表示方向)
He is kind to (towards)us.（两者通用）
He is at the station.(静态，表示地点)
They arrived at the station.(动态，表示地点)
He swam away from the ship.(动态“离开”)
He stood away from the shop.(静态“远离”)
He fell onto the floor.(动态“到地面”)
The city is on the Changjiang River.(静态“平面”)
Go off the road.偏离了道路（动态“离去”）
Come along the river.沿着河过来（线）
across the fields 跨过田野……，over the desert跨越沙漠
across the river横跨这条河……，over the hill翻过这座山
be in the house(静态，在这里……)stay out of the car(静态，在……外)
go into the house(动态，进入)fly out of the country(动态，离开)
（7）表示方式、手段、工具的介词
①by the year/hour/day按年/小时/天。如He rent a house by the year(day,hour).(按by+the+单位名称)但to the pound按磅算，to the ton按吨计。
②表泛指的方式、手段
by post/mail邮寄，by telephone(radio),但on the phone/on the radio/on TV(电讯器材)，by electricity用电，by machinery用电器，by hard work,learn sth.by heart,through the satellite,through practice,through his own efforts,through experience,through the telescop
③交通工具类
by bus/train/car/taxi(road)
by bike/bicycle,on horse back/on foot
by plane/jet/spaceship,by air
by ship/boat/lifeboat,by sea/by water
另外：by means of 用……方法，by way of 经由，取道于，用……方法，with the help (permission)of sb./with sb.’s help (permis-
sion)。
④表方式、手段的其他用法
He beat the dog with a whip.(with+工具机器)
One smells with his nose.(with+人体器官，但by hand“手工，用手”)
He stood up with pride.(with+情绪、情感、态度的名词)
注意：使用语言、材料、文字等用in。如in English(ink,pencil)。另外如：in high (good,low)spirits,in anger,in joy,in comfort,in sorrow,in safety,in danger,in need,in debt,in love,in fun,in pain,in tears,in surprise,in good(poor)health,in good order,in flower,in a way,in a low voice,in silence,in(with)satisfaction,in a hurry,in(with)words,live/feed on food,kneel on one’s knee,take(catch)sb.by surprise(出其不意)
（8）表示“除……之外”的几组常用介绍比较。
①besides 除……以外，（还有）。作副词时意思是“而且，更何况”。
Well all went to the cinema besides Shaw.除了肖外，我们都去了电影院。
It was too late to see a film, and besides, I was tired.
②except除去，除……之外（不再有）。
We all went except John.我们都去了，约翰没有。
在否定句中，两词可以换用，如：
He has no other hats except / besides this one.
③except for除了……（对句子主题进行细节校正或附加说明）后接名词、代词或what从句，此时与except that + 句子意思相同。
He was very clever except for carelessness.
④except that … 除了……一点以外。
He has not changed except that he is wearing dark glasses.
⑤but与except
but和except在表示“除了……以外”时可以通用，但应注意以下三点：
①前面有不定人词、疑问代词在意义上对称时，多用but。
All but one are here.
Nobody but I likes making model ships.
②后接不定式短语为排除对象时，多用but。
He has nothing to do but wait.（前有do,后省to）
③but与一些固定结构连用。
have no choice but to do sth.只得做某事，can not but do sth.不得不,can not help but do sth.不得不……，but for … 如不是……
（9）between与among.
between通常指两者之间。也可以用于三者以上的两者之间。如：
Ann is between Tom and Bill.
Switzer land lies between France, Germany, Australia and Italy.
They soon finished the work between themselves.(共同，合作)
She was busy between cooking, washing, sewing and looking after the baby.(表示接连不断地，一个接一个地忙这忙那)
A horse can be seen between trees now.
among表示三者以上之间。如：
The story is said to have happened in a village among the hills.
He was happy to be among friends again.
We must agree among ourselves.(一起，共同)我们必须达成共识。
London is among the largest cities.( = one of与最高级连用)
（10）表原因的介词for、because of、e to。
He didn’t come to the meeting because of his illness.
The reason for his coming late is that he was ill.
He was praised for his bravery and courage.
The accident is e to your careless driving.