第一篇：PETS信件写作解题方法与技巧
PETS信件写作解题方法与技巧 PETS考试
英语等级考试三级考试常考的信件有:邀请信, 应征信,求职信, 感谢信, 致歉信, 道贺信, 投诉信, 询问信, 推荐信
（一）英文书信的组成英文书信通常有包括以下几部分:
1.信头(Heading): 指写信人的地址和写信日期
信头的目的是使收信人知道书信来自何处，何时发出。信头一般位于信函的右上角，包括发信人的地址和写信日期。
信头的地址的写法要注意英文和中文的不同，英文应遵循“先小后大”的原则，第一行写门牌号和街道的名称，第二行写区、市名、省名、国家名。国家名之前加上邮政编码。门牌名与街道名之间不用逗号隔开。最后一行写上发信日期。日期一般有以下几种写法：
12th Sept, 2006 12 Sept, 2006 Sept.12th, 2006
如，Mr.Zhang Peng
Department of Foreign Language
Jiangxi Teachers’ College
Nanchang, Jiangxi Prov., 330241
P.R.C.Sept.12, 2006
2．信内地址(Inside Name & Address): 指收信人的姓名和地址
信内地址一般位于信函的左上角，位于信纸的左边顶格，低于信头一两行写起。
3．称呼(Salutation): 对收信人的称呼用语
称呼是写信人对收信人表示尊敬的敬称。称呼从信纸的左端顶格写起，比信内姓名和地址低一行。称呼有多种，视写信人和收信人的关系而定。每个开头字母用大写，结尾用逗号不用冒号。
对男士的称呼，多用Mr., 对女士的称呼,多用Mrs., Madam, Miss或Ms.,但是需要注意的是,这些称呼用在姓氏前或姓氏和名字前,但是不能使用在名字的前面。
4．正文(Body):
5．结束语(Complementary Close): 写信人对收信人的谦称
结束语从信纸的中间或稍右的地方写起，位于正文下面空两三行处。不同关系使用不同的结束语。对于不熟悉的人或团体：Yours truly, Truly yours, Yours faithfully, Faithfully yours
对于上级和长者：Yours respectfully, Respectfully yours, Yours gratefully, Gratefully yours对于朋友和亲属：Yours, Your loving daughter, Your devoted friend
6．签名(Signature):
7．附件(Enclosure):
（二）信件开头结尾常用语:
1.信件开头常用语
I am writing to you to ask about the meeting to be held next month.I have received your letter on Feb.2nd 1998.Thank you very much for the position you are offering.It’s a long time that we haven’t seen each other.I’m writing to introduce to you one of my good friends, Mr.Smith.2.信件文中常用语Your presence on this occasion would be our greatest honour.3.信件结尾常用语With many thanks.Wish you the best of health and success.Your early reply will be highly appreciated.Expecting to hear from as soon as possible.Looking forward to the pleasure of meeting you.Regretting the inconvenience caused to you.Thanks once more.Many thanks for your kindness.Thanks a lot and best wishes for you.We sincerely hope that you’ll accept our apology and keep in contact with us.We look forward to receiving your confirmation by letter or e-mail.2
第二篇：PETS写作
PETS写作模板——辩论式议论文
PETS考试借鉴了雅思的基本模式，公共英语三级、四级考试中往往会考应用文写作和议论文大作文。应用文写作格式不正确是很多同学失分的最主要原因。应用文写作程式化强，考生可以提前背诵一些应用文写作的基本句型，积累有关句型句式，注意应用文写作中的套话。应用文写作常考信件写作，如辞职信、投诉信、感谢信、表扬信、会议 MEMO等都是考生应重点把握的。以下分别介绍：
PETS英语写作模板之一-辩论式议论文
模版1
Some people believe（argue，recognize，think）that 观点 1.But other people take an opposite side.They firmly believe that 观点 2.As for me，I agree to the former/latter idea.There are a dozen of reasons behind my belief.First of all，论据1.More importantly，论据2.Most important of all，论据3.In summary，总结观点。As a college student，I am supposed to 表决心。
或 From above，we can predict that 预测。
模版2
People hold different views about X.Some people are of the opinion that 观点1，while others point out that 观点2.As far as I am concerned，the former/latter opinion holds more weight.For one thing，论据1.For another，论据2.Last but not the least，论据3.To conclude，总结观点。As a college student，I am supposed to 表决心。
或 From above，we can predict that 预测。
模版3
There is no consensus of opinions among people about X（争论的焦点）。
Some people are of the view that 观点1，while others take an opposite side，firmly believing that 观点2.As far as I am concerned，the former/latter notion is preferable in many senses.The reasons are obvious.First of all，论据1.Furthermore，论据2.Among all of the supporting evidences，one is the strongest.That is，论据3.A natural conclusion from the above discussion is that总结观点。
As a college student，I am supposed to 表决心。
或 From above，we can predict that 预测
Day Track Back to Jurassic Age
Go with me to breath a ancient air now!
At zheng jia supermarket.there is a fossolized dinoaaur exhibition show during the vacation of national day ’golden week’ time.Which had been devoting prepared for more than a half year by the host and the authority,There is no comparson , the aborption just consist in it’s distinct living age , Foremost historical worth and mighty shape to have a seemingly visual banquet , Lack of word to
appreciable the divine importance ,Everyone would no lose such a chance to even just catch a sight of it , me inclu
ded!
With eager wondering of dinosaur’s appearance I went to there..Being a grand mansion-there is 7 floors with different kind of applicable functions within this supermarket , And the exhibition was located in the
5th floor , There are sereral assortment of dinosaurs each with its owe height length feature weight here ,But just only the one
is attended tendency to the visitors , and others common ,The stands here was sure be countless with all eyes staring to the pretty feature one ,People who are upon 5th floor could saw
them when shopping , Each group of people was consented to view by turns , Alternate moving crowd never stop..To be frank I
was never be so ashamed of my short for I could not see the huge fossil clearly!I managed to escape from the crowd to close to it ,Really cool and grand ,the bone are all brown after 150million years buried underearth , and every piece of them are buttressed firmly.Countless different kinds of shapes so fantasy to make up of a dinosaur ,I with dauftful consider , when approached it my desire of
dinosaur totully satisfied!how ? It’s more than enjoying a appetising banquet!Tthe most incredible moment cannot be any others than then while watching such attractive fossil , It appears to be a huge arghitecture ,metres long and 9 metres high when up ahead it’s head.It is said that the largest brain possessed by any dinosaur weigh about a kilogram , They are.belong to ancient earth during the
Jurassic Period.I was imaging a dinosaur was running through the vast grassland numerous years ago.And suspecting when they dominated
the world , How is a dinosaur kingdom was about ? There was no stopping way to spread our imagine , And i would easily to swimming in
such historical age.What a wonder!I touch the fossil that 150 000 000 years old, what’s more , It is a toe of dinosaur ,yeah, just the humanbeing’s ideas about curious and new thing have been continuously changed , But to me i will keep this in momery unless I back to alive in the Jurassic Period ,I can’t help myself to share my little experience above ,as the mountaineer can’t secret his step left at the top of the majestic mountain.:$
overheard a group of American tourists in Tel Aviv the other day.They were looking for a place to exchange their Dollars for Israeli Shekels.The bank was closed for the day and they were looking quite frantic.So I explained to them they could go to a money market to exchange their dollars.I told them it was easy to find a money market.There is practically one on every corner in the city.We got into a lengthy conversation regarding whether to use American dollars or Israeli Shekels.I thought that it was important to shop in Israeli currency.After you go a money market and you have the cash on you it is much more convenient.You can usually get the best price when you pay in cash.I'm not exactly sure of the reason, but it appears as though the prices quoted for most things just are lower if you tell the other person with
which you're negotiating that you want the price in shekels.It is preferable to go to a money market instead of a bank to exchange your foreign currency.The bank will take a substantial commission on the money, and in addition you will pay for the service.Initially the bank rate may be a good one;however, the bank charges can add up.There is no service charge at a money market.A money market doesn't charge any commission.The hours are more convenient than a bank and the lines are much smaller.At a money market you can even exchange all major currencies and travelers checks.Anyone can stand by you when you are right, but a friend will stand by you when you are wrong.A simple friend identifies himself when he calls.A real friend doesn’t have to.A simple friend opens a conversation with a full news bulletin on his life.A real friend says, “what’s new with you?”
A simple friend thinks the problems you whine about are recent.A real friend says, “you’ve been whining about the same thing for years, get off your duff and do something about it.”
A simple friend has never seen you cry.A real friend has shoulders soggy from your tears.A simple friend doesn’t know our parents’ first names.A real friend has their phone numbers in his address book.A simple friend brings a bottle of wine to your party.A real friend comes early to help you cook and stays late to help you clean.A simple friend hates it when you call after he gone to bed.A real friend asks you why you took so long to call.A simple friend seeks to talk with you about your problems.A real friend seeks to help you with your problems.A simple friend wonders about your romantic history.A real friend could blackmail you with it.A simple friend, when visiting, acts like a guest.A real friend opens your refrigerator and helps himself.A simple friend thinks the friendship is over when you have an argument.A real friend knows that it’s not friendship until after you’ve had a fight.A simple friend expects you to always be there for him.A real friend expects to always be there for you!
第三篇：PETS二级写作
PETS二级写作范文
假定你是学生会工作人员，最近学生会决定成立英语俱乐部，要写一个通知，通知必须包括下列内容：
1、英语俱乐部的宗旨;
2、活动;
3、如何开会;
4、成立大会举行的时间和地点。
注意：词数80-120词，开头已经写好;请直接将书面表达写在答题卡背面。[参考范文]
The student union has recently agreed to set up an English club.It aims to encourage students to learn English outside of class, to raise English abilities and to create a favorable English-learning atmosphere.During this term foreign experts will give lectures on English and American cultures once a week, and students can meet once a week at the English corner.Besides, we will also have lectures given on the study of English.anyone in the school is welcome to join the club by filling in the related from and providing one photo by the end of this month.1, our first meeting will be held in the school gym at 5:00 p.m.Friday, 21
February, 2004.The student union 14 February, 2004 欢迎词： [题目要求] 一批外宾到你们学校参观，并决定参加你班的英语晚会，会上由你致词表示欢迎，并介绍班级情况。为此，请你写一篇简短的发言稿。内容要点如下：
1、表示欢迎;
2、介绍班级情况，如男女生人数，籍贯，年龄，兴趣等;
3、介绍你班学习科目及学习情况;
4、介绍晚会的主要节目;
5、祝愿的话。
注意：
1、致词必须包括所有内容要点，但不要逐条翻译;
2、词数100词左右;
3、请直接将书面表达写在答题卡背面。[参考范文] Ladies and gentlemen, Welcome to our class and welcome to our evening party.First of all, let me say a few words about our class.There are 50 students in our Class-26 of us are boys and 24 are girls.Most of us are from Beijing.We are mostly at the same age-about 17.Some go in for sports, and some are interested in reading.We have 6 subjects in all, including English，Chinese and mathematics.All of us like to study English, and we usually spend a lot of time on it.In our program tonight, there will be a short play, group singing and so on.I hope you will enjoy them and have a good time.Thank you.广播通知：
题目：你们学校学生会将为来访的澳大利亚朋友举办一个晚会，请你根据下述内容要点拟一个100词左右的英语广播通知，欢迎同学参加： 目的：欢迎来访的澳大利亚朋友。时间：10月12日(周五)晚七点。地点：图书馆第二阅览室
内容：文娱节目，包括游戏、跳舞等 [参考范文] May I have your attention, please? I have an announcement to make.The student union is going to hold a party on Friday evening, October 10, to welcome our friends from Australia.The party will be held in the 2nd reading room in the library.It’ll begin at 7:00pm.At the party we’ll have music, dancing, singing and games.Australian friends will perform some nice programs in the party.Everyone is welcome.Please come in time.英语导游：
[题目要求]假如你是一名导游，陪同外宾游览长城，下车前用英语告诉外宾：
1、长城的长度、历史、世界奇观之一;
2、讲话时间是八点半，在长城停留两个小时，十点半离开。游览车在入口处等，请记住车牌号，准时上车;
3、随身带好贵重物品，下车前关好车窗;
4、最后祝大家玩得愉快。[参考范文] Ladies and gentlemen: Here we are at the foot of the great wall.It’s the longest wall in the world and has a history of over 2000 years.It’s one of the wonders of the world.We will spend two hours on the wall.It’s 8:30 now.We’ll leave at 10:30.The bus will be waiting for us at the entrance.Please remember our bus number and be back on time.Besides, please take your valuable things with you and shut all the windows before getting off.Have a good time!Thank you.英文简历：
[题目要求]某外资企业想要招聘几名英文秘书，外方经理想了解应聘者的情况，请你用英文写一篇自我介绍，词数在100左右。姓名：李一加 出生：1978.8.28，广州
简历：1999年毕业北京师范大学英语系;在某中学里教了2年英语;后来在外文书店里当了2年店员。特长：汉语交好，英语也不错，1996年曾获北京英语竞赛第二名，平时利用业余时间自学英语，现在能与外宾交谈。自信能胜任此项工作，并决心把工作搞好。[参考范文] My name is Li Yijia.I was born on august 28, 1978, in Guangzhou.I graduated from English department of Beijing normal university in 1999.First, I taught in a middle school for two years, and then I worked as a salesman in the foreign language bookstore for two years.I am not only good at Chinese but good English.I am greatly interested in English.In 1996 i won the second place in the English competitions in Beijing.I have continued learning English in my spare time.Now I am glad That I can talk with foreigners freely.I am sure I am fit for the work and determined to do my job well.留言本：
[题目]假定你是王林，你得加拿大朋友mark与你在同一个城市工作。你去邀请他和你一起参观一个中国画展。他不在，请你根据以下要点给他写个留言条，要点：
1、介绍画展：中国画、历代名画展
2、展会日期及地点：本月8日-18日，艺术博物馆
3、约定会面得地点和时间 [参考范文] Mark, I have visited you just now but you were not in, so I had to leave the message to you.I want to invite you to visit the Chinese art exhibition in the art museum.The exhibition will display the most famous paintings in the past dynasties and traditional Chinese paintings.The exhibition will be open from the eighth to the eighteenth of this month.So can we meet at the gate of the art museum at 9:30 am on Sunday?
第四篇：浅谈几何证明题的解题方法与技巧
浅谈几何证明题的解题方法与技巧
作者：容茂和完成时间：2011年12月
【内容摘要】:针对学生解决几何证明题比较困难的情况，给学生分析研究几何证明题的解题方法与技巧，提高学生学习几何的兴趣，增强解决问题的信心。
【关键词】: 方法与技巧 ；注重基础 ； 善于归类 ；突破难关
在初中阶段，学生学习数学都会遇到两大难题：一是代数中的列方程解应用题；二是几何中的证明题。下面，笔者结合多年的教学经验和方法谈谈几何证明题的解题方法与技巧。
一、注重基础，善于归类。知识要靠平时的积累，只有当量变发生到一定程度才能产生质变。因此，在平时的学习中，特别是从七年级开始学习几何这门课时，就要做到每学习一个几何概念、定理、推论等都要分清它们的用途，并进行归类，为以后的学习打下基础。例如：在人教版七年级上册第四章《图形认识初步》中，在学习“线段的中点”、“角的平分线”、“等角的补角相等”、“等角的余角相等”等概念和性质时，就要分清：“线段的中点”可以用于证明两条线段相等；“角的平分线”、“等角的补角相等”及“等角的余角相等”等概念和性质都可以用来证明两个角相等。随着学习的不断深入，需要学习掌握的定理、性质就会更多。因此，学生必须做到边学习边归类，三年下来，整个初中阶段就会形成一个环环紧扣、条理清晰的几何知识系统。
二、明确几何证明题的类型。在知识的归类中，我们可以逐渐发现上述所学习的定理、性质、推论等的用途基本上都不外乎用来证明：两条线段相等、两个角相等、两条线段（或直线）平行、两个三角形全等（或相似），或者一个图形是某些特殊的图形（如平行四边形、菱形、矩形、正方形、等腰三角形、等边三角形、等腰梯形
等）。比较常见的是前面的四种证明题类型。因此，学生在碰到相应类型的证明题时，头脑中就要有相应的定理、性质、推论的出现，而对于用哪一个或几个定理去解决问题，取决于证明题的需要。
三、确定证明的切入点。几何证明题的证明方法主要有三个方面。第一，从“已知”入手，通过推理论证，得出“求证”；第二，从“求证”入手，通过分析，不断寻求“证据”的支撑，一直追溯回
1到“已知”；第三，从“已知”及“求证”两方面入手，通过分析找到中间“桥梁”，使之成为清晰的思维过程。
四、要善于挖掘及利用题目图形中的隐藏条件。有的证明题中的已知条件有限，仅从已知条件出发未必能够找出正确的证明方法，但如果善于观察及利用图形中的隐藏条件，则可能很容易证明。例如
“对顶角相等”、“三角形的一个外角等于与它不相邻的两个内角的和”、“在同一个圆中，同一段弧所对的圆周角相等”等等就不需要在题目及图形中说明或指出，但它们也属于已知条件。
除了要掌握几何证明题的常用方法外，还要知道一些类型题的解题技巧。下面以证明“两条线段相等”这一类型为例，说明它的解题技巧。
（一）要证明相等的两条线段在同一条直线或线段上。
这种题型的证明方法都是从“求证”问题入手，通过分析，寻求
“证据”回到“已知”条件。具体的证明方法是通过线段的加或减得到，例如：人教版九年级上册第88页第8题，如图1，两个圆都是以
O为圆心，求证：AC=BD。分析：要求证相等的两条线段AC与BD
都在同一条线段AB上，而AB是大圆的弦交小圆于C、D两点；而题目中可用的条件不多，B
因此可以结合圆、弦考虑作辅助线：过圆心O作
线段OEAB于E，则构成垂径定理，于是有AE=BE，CE=DE，AECE=AC，BEDE=BD，所以AC=BD。图
1（二）要证明相等的两条线段在同一个三角形内。
这种题型的主要证明方法是考虑用“等角对等边”定理展开证
明。例如：如图2，在△ABC中，AE是△ABC的外角∠DAC的平分线，且AE∥BC，求证：AB=AC。
分析：如果要证明AB=AC 证明：∵AE平分∠DAC∴∠DAE=∠EACE∵AE∥BC∴∠DAE=∠B，∠EAC=∠C
∴∠B=∠C∴△ABC是等腰三角形BC
图2∴AB=AC
（三）要证明相等的两条线段分别在两个三角形内。
这种题型的主要证明方法是考虑根据“三角形全等”的定理展开
证明。在证明前，首先要把这两条线段分在两个三角形内，再去考虑证明这两个三角形全等。例如，人教版八年级下册第121页第8题，如图3，四边形ABCD是等腰梯形，点E、F在BC上，且BE=FC，连接DE，AF，求证：DE=AF。
分析：因为要证明线段DE、AF相等，显然DE、AF不在同一个三角形内，也不在同一直线或线段上，所以要考虑用“三角形全等”的中，定理去进行证明，AF在△ABF中，DE在△DCEAD 因此可能性围绕证明△ABF≌△DCE，然
后结合已知条件“等腰梯形”有
AB=DC，∠B=∠C，这时已有“一边一角”，但还有一个条件“BE=FC”未BEFC 用，于是有BE+EF=FC+EF，即BF=CE，于是构图3成“SAS”，因此△ABF≌△DCE。这题主要从
“已知”及“求证”两方面入手，通过分析找到中间“桥梁”：△ABF≌△DCE。
如果遇到一些证明题比较棘手，利用上述三种方法都不能证明
时，可以考虑用线段的“转移”，即把“求证”中的其中一条线段使之与图中的另一条线段相等，于是就使得“求证”中的另一条线段与这条线段或在同一条直线（或线段）上，或在同一个三角形内，或在两个三角形中，再用上述三种方法的其中一种去进行证明。这种证明方法属于借助中间“桥梁”（当然可能还有其它方法可证，这要由题目的已知条件和图形去确定解题方法）。
例如，如图4，在△ABC中，AF是BC边上的中线，D是AF上的一
点，BD的延长线交AC于点E，且∠BDF=∠CAF。求证：BD=AC。
分析：在图4中所要求证的两条线段虽然可以分在两个三角形
（BD在△ABD或△BDE，AC在△ACF或△ABC）中，但它们显然不全
等，这时可以考虑通过作辅助线，使“AC”与BD在同一个三角形中，再用定理“等角对等边”去进行证明。辅助线作法：延长AF到G，使FG=AF，连接BG，如图5。这时△ACF≌△GBF（SAS），于是可得BG=AC以及∠G=∠CAF，而已知∠BDF=∠CAF，所以∠BDF=∠G，故BD=BG，从而得到BD=AC。这个过程相当于把AC转移到一条和它相等的线段BG
上，使之在同一个三角形中，这就是线段的“转移”，这也是证明题中的一种常用技巧。
A
E
BFC
图
4A
E
BFC
G
图
5当然题目及题型是千变万化、错综复杂的，“求证”起来有难有易。但求解任何一道题目时，学生都需要有信心、耐心，相信自己一定能够解决问题。无论怎样难以“求证”的题目都离不开书本的基础知识。因此只有立足于书本知识，夯实基础，才能以不变应万变。在平时的学习训练中还要善于开拓思维，灵活变通，从不同的角度去思考问题，做到一题多解，这样才能突破几何证明题这一难关。
第五篇：深圳小升初数学应用题解题方法与技巧
深圳小升初数学应用题解题方法与技巧 复合应用题
(1)有两个或两个以上的基本数量关系组成的，用两步或两步以上运算解答的应用题，通常叫做复合应用题。
(2)含有三个已知条件的两步计算的应用题。
-求比两个数的和多（少）几个数的应用题。
-比较两数差与倍数关系的应用题。
(3)含有两个已知条件的两步计算的应用题。
-已知两数相差多少（或倍数关系）与其中一个数，求两个数的和（或差）。-已知两数之和与其中一个数，求两个数相差多少（或倍数关系）。
(4)解答连乘连除应用题。
(5)解答三步计算的应用题。
(6)解答小数计算的应用题：小数计算的加法、减法、乘法和除法的应用题，他们的数量关系、结构、和解题方式都与正式应用题基本相同，只是在已知数或未知数中间含有小数。
3、典型应用题
具有独特的结构特征的和特定的解题规律的复合应用题，通常叫做典型应用题。
(1)平均数问题：平均数是等分除法的发展。
-解题关键：在于确定总数量和与之相对应的总份数。
-算术平均数：已知几个不相等的同类量和与之相对应的份数，求平均每份是多少。数量关系式：数量之和÷数量的个数=算术平均数。
-加权平均数：已知两个以上若干份的平均数，求总平均数是多少。
-数量关系式（部分平均数×权数）的总和÷（权数的和）=加权平均数。
-差额平均数：是把各个大于或小于标准数的部分之和被总份数均分，求的是标准数与各数相差之和的平均数。
-数量关系式：（大数－小数）÷2=小数应得数最大数与各数之差的和÷总份数=最大数应给数
最大数与个数之差的和÷总份数=最小数应得数。
例：一辆汽车以每小时 100 千米 的速度从甲地开往乙地，又以每小时 60 千米的速度从乙地开往甲地。求这辆车的平均速度。
分析：求汽车的平均速度同样可以利用
公式。此题可以把甲地到乙地的路程设为“ 1 ”，则汽车行驶的总路程为“ 2 ”，从甲地到乙地的速度为100，所用的时间为，汽车从乙地到甲地速度为 60 千米，所用的时间是，汽车共行的时间为+=, 汽车的平均速度为2 ÷=75（千米）
点击咨询 