第一篇：PETS信件寫作解題方法與技巧

PETS信件寫作解題方法與技巧 PETS考試

英語等級考試三級考試常考的信件有:邀請信, 應征信,求職信, 感謝信, 致歉信, 道賀信, 投訴信, 詢問信, 推薦信

（一）英文書信的組成英文書信通常有包括以下幾部分:

1.信頭(Heading): 指寫信人的地址和寫信日期

信頭的目的是使收信人知道書信來自何處，何時發出。信頭一般位于信函的右上角，包括發信人的地址和寫信日期。

信頭的地址的寫法要注意英文和中文的不同，英文應遵循“先小后大”的原則，第一行寫門牌號和街道的名稱，第二行寫區、市名、省名、國家名。國家名之前加上郵政編碼。門牌名與街道名之間不用逗號隔開。最后一行寫上發信日期。日期一般有以下幾種寫法：

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．信內地址(Inside Name & Address): 指收信人的姓名和地址

信內地址一般位于信函的左上角，位于信紙的左邊頂格，低于信頭一兩行寫起。

3．稱呼(Salutation): 對收信人的稱呼用語

稱呼是寫信人對收信人表示尊敬的敬稱。稱呼從信紙的左端頂格寫起，比信內姓名和地址低一行。稱呼有多種，視寫信人和收信人的關系而定。每個開頭字母用大寫，結尾用逗號不用冒號。

對男士的稱呼，多用Mr., 對女士的稱呼,多用Mrs., Madam, Miss或Ms.,但是需要注意的是,這些稱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．結束語(Complementary Close): 寫信人對收信人的謙稱

結束語從信紙的中間或稍右的地方寫起，位于正文下面空兩三行處。不同關系使用不同的結束語。對于不熟悉的人或團體：Yours truly, Truly yours, Yours faithfully, Faithfully yours

對于上級和長者：Yours respectfully, Respectfully yours, Yours gratefully, Gratefully yours對于朋友和親屬：Yours, Your loving daughter, Your devoted friend

6．簽名(Signature):

7．附件(Enclosure):

（二）信件開頭結尾常用語:

1.信件開頭常用語

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.信件文中常用語Your presence on this occasion would be our greatest honour.3.信件結尾常用語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寫作

PETS寫作模板——辯論式議論文

PETS考試借鑒了雅思的基本模式，公共英語三級、四級考試中往往會考應用文寫作和議論文大作文。應用文寫作格式不正確是很多同學失分的最主要原因。應用文寫作程式化強，考生可以提前背誦一些應用文寫作的基本句型，積累有關句型句式，注意應用文寫作中的套話。應用文寫作常考信件寫作，如辭職信、投訴信、感謝信、表揚信、會議 MEMO等都是考生應重點把握的。以下分別介紹：

PETS英語寫作模板之一-辯論式議論文

模版1

Some people believe（argue，recognize，think）that 觀點 1.But other people take an opposite side.They firmly believe that 觀點 2.As for me，I agree to the former/latter idea.There are a dozen of reasons behind my belief.First of all，論據1.More importantly，論據2.Most important of all，論據3.In summary，總結觀點。As a college student，I am supposed to 表決心。

或 From above，we can predict that 預測。

模版2

People hold different views about X.Some people are of the opinion that 觀點1，while others point out that 觀點2.As far as I am concerned，the former/latter opinion holds more weight.For one thing，論據1.For another，論據2.Last but not the least，論據3.To conclude，總結觀點。As a college student，I am supposed to 表決心。

或 From above，we can predict that 預測。

模版3

There is no consensus of opinions among people about X（爭論的焦點）。

Some people are of the view that 觀點1，while others take an opposite side，firmly believing that 觀點2.As far as I am concerned，the former/latter notion is preferable in many senses.The reasons are obvious.First of all，論據1.Furthermore，論據2.Among all of the supporting evidences，one is the strongest.That is，論據3.A natural conclusion from the above discussion is that總結觀點。

As a college student，I am supposed to 表決心。

或 From above，we can predict that 預測

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二級寫作

PETS二級寫作范文

假定你是學生會工作人員，最近學生會決定成立英語俱樂部，要寫一個通知，通知必須包括下列內容：

1、英語俱樂部的宗旨;

2、活動;

3、如何開會;

4、成立大會舉行的時間和地點。

注意：詞數80-120詞，開頭已經寫好;請直接將書面表達寫在答題卡背面。[參考范文]

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 歡迎詞： [題目要求] 一批外賓到你們學校參觀，并決定參加你班的英語晚會，會上由你致詞表示歡迎，并介紹班級情況。為此，請你寫一篇簡短的發言稿。內容要點如下：

1、表示歡迎;

2、介紹班級情況，如男女生人數，籍貫，年齡，興趣等;

3、介紹你班學習科目及學習情況;

4、介紹晚會的主要節目;

5、祝愿的話。

注意：

1、致詞必須包括所有內容要點，但不要逐條翻譯;

2、詞數100詞左右;

3、請直接將書面表達寫在答題卡背面。[參考范文] 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.廣播通知：

題目：你們學校學生會將為來訪的澳大利亞朋友舉辦一個晚會，請你根據下述內容要點擬一個100詞左右的英語廣播通知，歡迎同學參加： 目的：歡迎來訪的澳大利亞朋友。時間：10月12日(周五)晚七點。地點：圖書館第二閱覽室

內容：文娛節目，包括游戲、跳舞等 [參考范文] 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.英語導游：

[題目要求]假如你是一名導游，陪同外賓游覽長城，下車前用英語告訴外賓：

1、長城的長度、歷史、世界奇觀之一;

2、講話時間是八點半，在長城停留兩個小時，十點半離開。游覽車在入口處等，請記住車牌號，準時上車;

3、隨身帶好貴重物品，下車前關好車窗;

4、最后祝大家玩得愉快。[參考范文] 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.英文簡歷：

[題目要求]某外資企業想要招聘幾名英文秘書，外方經理想了解應聘者的情況，請你用英文寫一篇自我介紹，詞數在100左右。姓名：李一加 出生：1978.8.28，廣州

簡歷：1999年畢業北京師范大學英語系;在某中學里教了2年英語;后來在外文書店里當了2年店員。特長：漢語交好，英語也不錯，1996年曾獲北京英語競賽第二名，平時利用業余時間自學英語，現在能與外賓交談。自信能勝任此項工作，并決心把工作搞好。[參考范文] 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：

[題目]假定你是王林，你得加拿大朋友mark與你在同一個城市工作。你去邀請他和你一起參觀一個中國畫展。他不在，請你根據以下要點給他寫個留言條，要點：

1、介紹畫展：中國畫、歷代名畫展

2、展會日期及地點：本月8日-18日，藝術博物館

3、約定會面得地點和時間 [參考范文] 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：淺談幾何證明題的解題方法與技巧

淺談幾何證明題的解題方法與技巧

作者：容茂和完成時間：2011年12月

【內容摘要】:針對學生解決幾何證明題比較困難的情況，給學生分析研究幾何證明題的解題方法與技巧，提高學生學習幾何的興趣，增強解決問題的信心。

【關鍵詞】: 方法與技巧 ；注重基礎 ； 善于歸類 ；突破難關

在初中階段，學生學習數學都會遇到兩大難題：一是代數中的列方程解應用題；二是幾何中的證明題。下面，筆者結合多年的教學經驗和方法談談幾何證明題的解題方法與技巧。

一、注重基礎，善于歸類。知識要靠平時的積累，只有當量變發生到一定程度才能產生質變。因此，在平時的學習中，特別是從七年級開始學習幾何這門課時，就要做到每學習一個幾何概念、定理、推論等都要分清它們的用途，并進行歸類，為以后的學習打下基礎。例如：在人教版七年級上冊第四章《圖形認識初步》中，在學習“線段的中點”、“角的平分線”、“等角的補角相等”、“等角的余角相等”等概念和性質時，就要分清：“線段的中點”可以用于證明兩條線段相等；“角的平分線”、“等角的補角相等”及“等角的余角相等”等概念和性質都可以用來證明兩個角相等。隨著學習的不斷深入，需要學習掌握的定理、性質就會更多。因此，學生必須做到邊學習邊歸類，三年下來，整個初中階段就會形成一個環環緊扣、條理清晰的幾何知識系統。

二、明確幾何證明題的類型。在知識的歸類中，我們可以逐漸發現上述所學習的定理、性質、推論等的用途基本上都不外乎用來證明：兩條線段相等、兩個角相等、兩條線段（或直線）平行、兩個三角形全等（或相似），或者一個圖形是某些特殊的圖形（如平行四邊形、菱形、矩形、正方形、等腰三角形、等邊三角形、等腰梯形

等）。比較常見的是前面的四種證明題類型。因此，學生在碰到相應類型的證明題時，頭腦中就要有相應的定理、性質、推論的出現，而對于用哪一個或幾個定理去解決問題，取決于證明題的需要。

三、確定證明的切入點。幾何證明題的證明方法主要有三個方面。第一，從“已知”入手，通過推理論證，得出“求證”；第二，從“求證”入手，通過分析，不斷尋求“證據”的支撐，一直追溯回

1到“已知”；第三，從“已知”及“求證”兩方面入手，通過分析找到中間“橋梁”，使之成為清晰的思維過程。

四、要善于挖掘及利用題目圖形中的隱藏條件。有的證明題中的已知條件有限，僅從已知條件出發未必能夠找出正確的證明方法，但如果善于觀察及利用圖形中的隱藏條件，則可能很容易證明。例如

“對頂角相等”、“三角形的一個外角等于與它不相鄰的兩個內角的和”、“在同一個圓中，同一段弧所對的圓周角相等”等等就不需要在題目及圖形中說明或指出，但它們也屬于已知條件。

除了要掌握幾何證明題的常用方法外，還要知道一些類型題的解題技巧。下面以證明“兩條線段相等”這一類型為例，說明它的解題技巧。

（一）要證明相等的兩條線段在同一條直線或線段上。

這種題型的證明方法都是從“求證”問題入手，通過分析，尋求

“證據”回到“已知”條件。具體的證明方法是通過線段的加或減得到，例如：人教版九年級上冊第88頁第8題，如圖1，兩個圓都是以

O為圓心，求證：AC=BD。分析：要求證相等的兩條線段AC與BD

都在同一條線段AB上，而AB是大圓的弦交小圓于C、D兩點；而題目中可用的條件不多，B

因此可以結合圓、弦考慮作輔助線：過圓心O作

線段OE?AB于E，則構成垂徑定理，于是有AE=BE，CE=DE，AE?CE=AC，BE?DE=BD，所以AC=BD。圖

1（二）要證明相等的兩條線段在同一個三角形內。

這種題型的主要證明方法是考慮用“等角對等邊”定理展開證

明。例如：如圖2，在△ABC中，AE是△ABC的外角∠DAC的平分線，且AE∥BC，求證：AB=AC。

分析：如果要證明AB=AC 證明：∵AE平分∠DAC∴∠DAE=∠EACE∵AE∥BC∴∠DAE=∠B，∠EAC=∠C

∴∠B=∠C∴△ABC是等腰三角形BC

圖2∴AB=AC

（三）要證明相等的兩條線段分別在兩個三角形內。

這種題型的主要證明方法是考慮根據“三角形全等”的定理展開

證明。在證明前，首先要把這兩條線段分在兩個三角形內，再去考慮證明這兩個三角形全等。例如，人教版八年級下冊第121頁第8題，如圖3，四邊形ABCD是等腰梯形，點E、F在BC上，且BE=FC，連接DE，AF，求證：DE=AF。

分析：因為要證明線段DE、AF相等，顯然DE、AF不在同一個三角形內，也不在同一直線或線段上，所以要考慮用“三角形全等”的中，定理去進行證明，AF在△ABF中，DE在△DCEAD 因此可能性圍繞證明△ABF≌△DCE，然

后結合已知條件“等腰梯形”有

AB=DC，∠B=∠C，這時已有“一邊一角”，但還有一個條件“BE=FC”未BEFC 用，于是有BE+EF=FC+EF，即BF=CE，于是構圖3成“SAS”，因此△ABF≌△DCE。這題主要從

“已知”及“求證”兩方面入手，通過分析找到中間“橋梁”：△ABF≌△DCE。

如果遇到一些證明題比較棘手，利用上述三種方法都不能證明

時，可以考慮用線段的“轉移”，即把“求證”中的其中一條線段使之與圖中的另一條線段相等，于是就使得“求證”中的另一條線段與這條線段或在同一條直線（或線段）上，或在同一個三角形內，或在兩個三角形中，再用上述三種方法的其中一種去進行證明。這種證明方法屬于借助中間“橋梁”（當然可能還有其它方法可證，這要由題目的已知條件和圖形去確定解題方法）。

例如，如圖4，在△ABC中，AF是BC邊上的中線，D是AF上的一

點，BD的延長線交AC于點E，且∠BDF=∠CAF。求證：BD=AC。

分析：在圖4中所要求證的兩條線段雖然可以分在兩個三角形

（BD在△ABD或△BDE，AC在△ACF或△ABC）中，但它們顯然不全

等，這時可以考慮通過作輔助線，使“AC”與BD在同一個三角形中，再用定理“等角對等邊”去進行證明。輔助線作法：延長AF到G，使FG=AF，連接BG，如圖5。這時△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，從而得到BD=AC。這個過程相當于把AC轉移到一條和它相等的線段BG

上，使之在同一個三角形中，這就是線段的“轉移”，這也是證明題中的一種常用技巧。

A

E

BFC

圖

4A

E

BFC

G

圖

5當然題目及題型是千變萬化、錯綜復雜的，“求證”起來有難有易。但求解任何一道題目時，學生都需要有信心、耐心，相信自己一定能夠解決問題。無論怎樣難以“求證”的題目都離不開書本的基礎知識。因此只有立足于書本知識，夯實基礎，才能以不變應萬變。在平時的學習訓練中還要善于開拓思維，靈活變通，從不同的角度去思考問題，做到一題多解，這樣才能突破幾何證明題這一難關。

第五篇：深圳小升初數學應用題解題方法與技巧

深圳小升初數學應用題解題方法與技巧 復合應用題

(1)有兩個或兩個以上的基本數量關系組成的，用兩步或兩步以上運算解答的應用題，通常叫做復合應用題。

(2)含有三個已知條件的兩步計算的應用題。

-求比兩個數的和多（少）幾個數的應用題。

-比較兩數差與倍數關系的應用題。

(3)含有兩個已知條件的兩步計算的應用題。

-已知兩數相差多少（或倍數關系）與其中一個數，求兩個數的和（或差）。-已知兩數之和與其中一個數，求兩個數相差多少（或倍數關系）。

(4)解答連乘連除應用題。

(5)解答三步計算的應用題。

(6)解答小數計算的應用題：小數計算的加法、減法、乘法和除法的應用題，他們的數量關系、結構、和解題方式都與正式應用題基本相同，只是在已知數或未知數中間含有小數。

3、典型應用題

具有獨特的結構特征的和特定的解題規律的復合應用題，通常叫做典型應用題。

(1)平均數問題：平均數是等分除法的發展。

-解題關鍵：在于確定總數量和與之相對應的總份數。

-算術平均數：已知幾個不相等的同類量和與之相對應的份數，求平均每份是多少。數量關系式：數量之和÷數量的個數=算術平均數。

-加權平均數：已知兩個以上若干份的平均數，求總平均數是多少。

-數量關系式（部分平均數×權數）的總和÷（權數的和）=加權平均數。

-差額平均數：是把各個大于或小于標準數的部分之和被總份數均分，求的是標準數與各數相差之和的平均數。

-數量關系式：（大數－小數）÷2=小數應得數最大數與各數之差的和÷總份數=最大數應給數

最大數與個數之差的和÷總份數=最小數應得數。

例：一輛汽車以每小時 100 千米 的速度從甲地開往乙地，又以每小時 60 千米的速度從乙地開往甲地。求這輛車的平均速度。

分析：求汽車的平均速度同樣可以利用

公式。此題可以把甲地到乙地的路程設為“ 1 ”，則汽車行駛的總路程為“ 2 ”，從甲地到乙地的速度為100，所用的時間為，汽車從乙地到甲地速度為 60 千米，所用的時間是，汽車共行的時間為+=, 汽車的平均速度為2 ÷=75（千米）