第一篇：中考英語句子翻譯題專練附詳解[小編推薦]

中考英語句子翻譯題專練·附詳解

一、根據(jù)所給中文，完成相應的英語句子，每空限填一詞：1.多喝水，這對你的健康有好處。

Drink more water.It _______ _______ _______ your health.2.昨天直到雨停了孩子們才離開學校。

The children _______ leave school _______ the rain stopped yesterday.3.非常感謝邀請我參加你的聚會。

_______ ______ _______ _______ asking me to your party.4.鑰匙是金屬做的，用來鎖門。

The key _______ _______ ______ metal and _______ ______ ______ door.5.你們想拿回你們的電視機，是嗎？

You want to ________ your TV set ________, _______ you?6.天太冷了，不能去游泳。

It's too cold _________ ________ ________.7.我和她年齡一樣大。

I'm _______ _______ ________ ________ _______8.麗麗叫我不要忘記告訴她母親這條好消息。

Lily asked me _______ _______ _______ ______ tell her mother the good news.9.昨天當我到達電影院時，電影已經(jīng)開始半小時了。

When I ______ ______ the cinema yesterday, the film _______ _______ ______ for half an hour.10.晚飯后為什么不去散步呢？

_______ _______ _______ out for a walk after supper?

二、根據(jù)所給中文，完成相應的英語句子，每空所填詞數(shù)不限：1.躺在床上看書對你的眼睛有害。Reading in bed _______.2.中華人民共和國成立于1949年。The PRC _______ in 1949.3.我今天為你買了一件新襯衫。為什么不試一下？I bought a new shirt for you today._______?4.我認為他明天不會來參加會議的。

I _______ that he _______ come to the meeting tomorrow.5.你能告訴我現(xiàn)在幾點了嗎？Could you tell me _______?

6.你最好在他改變主意之前把機票費幫他付了。

You'd better _______ the air ticket for him before he _______.7.我生于1987年6月15日。I _______ June 15, 1987.8.我們學校里僅有六個女教師。

There are only six _______ in our school.9.奧運會每四年舉行一次。The Olympic Games are _______.10.等他來，我再離開。

I _______leave _______he comes back.11.我希望你同我們一起去。I hope _______ _______ with us.12.假如明天不下雨，我會去購物。

I will _______ _______ if it _______ rain tomorrow.13.她很美，她媽媽年輕時也很美。

She is beautiful and ______ ______ her mother when she was young.14.長沙的天氣和北京的不同。

The weather of Changsha _______ _______ _______ ______ of Beijing.15.我們班的學生人數(shù)是50。

The ________ of the students in our class _______ 50.【答案解析】

一、根據(jù)所給中文，完成相應的英語句子，每空僅填空一詞

1.此題主要考查詞組be good for “對......有益(好處)”，drink more water是一個祈使句，用的是一般現(xiàn)在時，所以后句也用一般現(xiàn)在時，所以答案為is good for。

2.此題考查的是not...until“直到......才”結構，因是“昨天”，所以用一般過去時，第一空填didn't，第二空填until。

3.“非常感謝......”可譯為“Thank you very much for...或Thanks a lot for...”，因只有四空，所以只能填Thanks a lot for。

4.首先確定關鍵詞匯的譯法，并注意其語法形式。“由......制成的”應用詞組“be made of”；“被用來......”應用詞組“(be)used for...”；句子主語是單數(shù)，所以動詞be也應用第三人稱單數(shù)形式。故正確答案為 is made of;used for locking。(from)

5.此處主要考查的是反意疑問句的結構，陳述句是一般現(xiàn)在時的肯定形式，所以反意疑問句用一般現(xiàn)在時的否定形式don't；陳述句中的“拿回，取回”用“get...back”來表達。

6.此題考查的是“too...to...”(太......以致于不能......)結構，“去游泳”用“go swimming”表示。所以答案為：to go swimming 注意：too...to結構本身含有否定意義，所以不能在to前加not。

7.此題考查的是“與......一樣”表程度一致，英語用“as...as ”結構表示。但須注意句中的形容詞用原級，而不能用比較級。故答案為 as old as she is。

8.此處考查的是兩個動詞短語結構ask sb.not to do sth.“叫某人不要做某事” 和forget to do sth.“忘記做某事”。故填not to forget to。

9.此題主要是考查時態(tài)。前兩空用一般過去時，因有過去時間狀語yesterday，“到達”可用“get to”來表示；根據(jù)句意，后三空用過去完成時表示，動詞用持續(xù)性動詞，而不能用非延續(xù)性動詞，因有表一段時間的狀語for half an hour。正確答案為 got to, had been on。

10.此題是考查提建議的常用句型之一。“為什么......不呢?”英語可用Why not do...?或Why don't you do...? 來表達。因只有三空，所以正確答案為 Why not go。

11.答案為 you'll go。漢語中的“希望某人做某事”說成英語不能是 hope sb to do sth，要表示類似意思可考慮在 hope 后接賓語從句。

12.答案為 go shopping doesn't。最后一空填doesn't，因為時間狀語和條件狀語從句中習慣上要用一般現(xiàn)在時表示將來意義。

13.答案為 so was。“so+助動詞+主語”這類結構可表示后面所述情況與前面的情況相同，通常譯為“......也一樣”。

14.答案為 is different from that。be different from 意為“與......不同”，最后一空填 that，用以代替前面提以的 whether。

15.答案為 number is。句子主語是 the number，故謂語用單數(shù)。

二、根據(jù)所給中文，完成相應的英語句子，每空所填詞數(shù)不限

1.此題易誤填 is bad to your eyes。這是由于受漢語思維的影響造成的。介詞to確實有“對......”的意思，但在be bad for...這一個短語中不能用介詞to。正確答案為is bad for your eyes。

2.此題易誤填 was found。found既是find(找到，發(fā)現(xiàn))的過去式和過去分詞，又是found(成立)的原形。found意為“成立”時是規(guī)則動詞，其過去式和過去分詞分別為founded, founded。正確答案為was founded。

3.此題易誤填 Why don't you try on it / Why not try on it。這是受漢語思維的影響造成的。try on屬于“動詞＋副詞”構成的短語動詞，接人稱代詞賓格作賓語時人稱代詞要放在動詞與副詞之間。正確答案為Why don't you try it on / Why not try it on。

4.此題易誤填 think, won't。這是由于語法知識掌握不牢固引起的。當I think...意為“我認為......”后面所接的賓語從句表示否定意義時，否定詞要提前到主句中，即要用“I don't think +肯定形式的從句”這與漢語的表達不一致。正確答案為don't think, will。

5.此題易誤填 what time is it / what's the time。這是由于句式不清引起的。單獨使用時What time is it? / What's the time? 這兩個句子是正確的，但在這里是用句子作賓語，應該要用陳述語序。正確答案為what time it is / what the time is。

6.此題易誤填 to pay, changes mind。這是由于語法知識掌握不牢固引起的。you'd better后面要接省去to的動詞不定式，表示“改變主意”要用change one's mind這一結構。正確答案為pay for, changes his mind。

7.此題易誤填 born in。這是由于漢語思維和思維定勢引起的。其實，這里的born應該要用被動語態(tài)，因為一個人不可能自己生下自己；表示在具體的某一天介詞要用on而不用in。正確答案為was born on。

8.此題易誤填 woman teachers。這是由于思維定勢引起的。名詞作定語時，用來作定語的名詞往往用單數(shù)形式，如：apple trees蘋果樹，flower shops花店。但是woman, man用來作定語時，用單數(shù)名詞修飾單數(shù)名詞；用復數(shù)名詞修飾復數(shù)名詞。正確答案為women teachers。(from)

9.此題易誤填 held each four years。這是由于漢語思維的影響造成的。表示“每四年”要用every four years而不用each four years。正確答案為held every four years。

10.此題易誤填 will, until。這是由于語法知識掌握不牢固引起的。但句子中有until引導的時間狀語，句子的謂語動詞如果是持續(xù)性動詞或狀態(tài)動詞，這個句子往往用肯定形式；如果句子的謂語動詞是非持續(xù)性動詞，這個句子往往用否定形式，not...until意為“直到......才”。正確答案為won't, until。中考英語翻譯填空題專練

根據(jù)所給中文意思完成相應的英文句子，每空一詞：1.我父親叫我努力學習。

My parents told me _______ _______ _______.2.我發(fā)現(xiàn)學好英語很容易。

I find ______ ______ ______ study English well.3.他希望我能同他們一道去。

He _______ me ______ ______ with them.4.我很忙，我有許多衣服要洗。

I'm very busy.I have a lot of _______ ______ ______.5.不知道為什么那么早就出發(fā)。

I don't know ______ ______ ______ so early.6.為什么不把窗戶關上？

Why ______ _______ the window?7.他要我在外面等了一個小時。

He ______ me ______ outside for an hour.8.老師說他有一個重要的會議要參加。

The teacher said that he ______ an important meeting ______ ______.9.要及時完成這工作很難。

_____ _____ very difficult ______ ______ the work in time.10.他老了，不能做工作了。

He is not ______ _______ ______ do any work.【參考答案】

1.to, study, hard 2.it, easy, to

3.wishes, to, go 4.clothes, to, wash5.why, we'll, start 6.not, close [shut]7.made [had], wait 8.had, to, attend9.It, is, to, finish 10.young, enough, to最新中考英語翻譯填空訓練

根據(jù)中文意思完成句子，每空限填一詞。

1.這個八歲的男孩酷愛彈鋼琴，以致于他堅持練琴叁年了。

The eight-year-old girl likes playing the piano ______much ______he has kept ______ for three years.2.我母親經(jīng)常在星期日打掃衛(wèi)生，洗衣服。

My mother usually ______ some cleaning and ______ on Sundays.3.在今晚的聚會上我們肯定會玩得痛快。

We're ______ to have ______ at the party this evening.4.由于天氣不好，校運會不得不推遲。

______ ______ the bad weather, the school sports meet had to ______ ______ ______.5.保護環(huán)境和發(fā)展經(jīng)濟同樣重要。

Protecting environment is ______ ______ ______ developing economy.6.你是怎樣與你的鄰居相處融洽的？

______ can you get on well ______ your neighbours?

7.劉老師是位非常親切的老師，以致于我們把她當做自己的母親。

Mrs.Liu is ______ ______ kind teacher______ we ______ her ______ our mother.8.他問我今天是否有空。He asks me ______today.9.下定決心努力學習吧，你遲早會成功的。

Make______ ______ ______to work hard, ______ you'll succeed ______ ______ ______.10.李明是個熱心腸的人，他經(jīng)常幫助那些有困難的人。

Li Ming is a warm-hearted man and he often ______ the people in trouble ______.【答案與解析】

1.so, that, practicing。表示“如此......以致......”用句型so+形容詞或副詞+that...；表示“堅持 / 不斷 / 反復做某事”用keep doing sth。

2.does;washing。表示“搞衛(wèi)生、洗衣服、買東西、看書、跑步”等，可用do some cleaning / washing / shopping / reading / running。注意一般現(xiàn)在時，主語是第三人稱單數(shù)時，謂語動詞要用單數(shù)形式，所以do 要用does。3.sure;fun。表示“肯定會、一定會做某事”用be sure to do sth 表示“玩得痛快”用have fun, have a good time或

enjoy oneself。注意fun是不可數(shù)名詞，前面不能用a。

4.Thanks to / Because of, be put off。注意此處“推遲”要用被動語態(tài)。

5.as important as表示“一樣 / 同樣......”的as...as之間用形容或副詞的原級。其否定式，表示“不如......”時，第一個as還可用so替代。

6.How;with。表示“與某人相處融哈”用句型get on well with sb。

7.such a, that, regard, as。其中such a kind a teacher還可說成so kind a teacher；regard sb as...把某人看作......。8.if I'm free / if I have time。表示“是否”用if或whether引導賓語從句。

9.up your mind, and, sooner or later。因為表示“下定決心做某事”用make up one's mind to do sth；表示“遲早，總有一天”用sooner or later。10.gives, a hand。因為give sb a hand(with sth)=give a hand to sb(with sth)= help sb(with sth)幫助某人(做某事)。中考英語翻譯填空題專練7.Let's help them。用以提出建議，表示“讓我們做......吧”用句型let's do sth。

8.as soon as, reach。表示“一......就......”用連詞as soon as引導一個時間狀語從句；需要注意的是在時間狀語從句中用一般現(xiàn)在時代替一般將來時。

9.to smoke, given, up。表示“過去常常做某事”用used to do sth，若表示“習慣做某事”則用be used to doing sth；表示“放棄 / 戒掉”用give up。

10.Let me have a look(at it).或Let me look at it。表示請求允許，“讓某人做某事”就用句型let sb do sth。翻譯填空題·考查詞形變換

（選自近年來的中考真題）

1.今天的報紙上有什么重要內(nèi)容嗎?

根據(jù)中文意思完成句子，每空限填一詞。1.來吧，孩子們！該吃晚飯了。

Come on, children.______ ______ to have lunch,2.這些新汽車是中國制造的。

These new cars are ______ ______ ______.3.每天多喝水對你有好處。

To drink more water every day is ______ ______ ______.4.昨天因為交通擁堵，他們上學遲到了。

They ______ ______ ______ school because of the heavy traffic yesterday.5.稍微休息一下后，他又繼續(xù)看英文報紙。

After a short rest, he went ______ ______English newspapers.6.昨天晚上我在忙于為考試做準備。

Yesterday evening I ______ ______ ______ ready ______ the examination.7.他們遇到了很大的麻煩，讓我們來幫助他們吧，They are now in great trouble.______ ______ ______.8.你一到長沙就給我打個電話好嗎？

Will you please call me______ ______ ______ you ______Changsha?9.我父親過去常常抽煙，但最近已經(jīng)戒了。

My father used ______ ______, but he has______ it ______ recently.10.這幅畫很美，讓我看看吧。

The picture is beautiful.Let's ______ ______ ______ at it.【答案與解析】

1.It's time。表示“該做......”或“是做......的時候了”用句型It's time to do sth或It's time for sth2.made in China。表示“(由)某地制造”用be made in，注意make用過去分詞made。

3.good for you。表示“對......有好處”用be good for sb，若表示“對......有害處”就用be bad for。

4.were late for。表示“......遲到了”用be late for。主語they是復數(shù)，由yesterday可知用一般過去式，所以be 用were。

5.on, reading。表示“繼續(xù)做某事”用go on doing sth。

6.was, busy, getting, for。表示“忙于做某事”是be busy doing sth或be busy with sth；表示“為......做準備”是getready for sth或prepare for sth。

_______ _______ _______ important in _______ newspaper?(答案： Is there anything;today's)2.這座山?jīng)]有你想象的那么危險。

The mountain is ______ _______ than you think.(答案：less dangerous)3.第九課在第九十頁。

The ________ Lesson is on the________ page.(答案：ninth;ninetieth)

4.街道的兩邊有好幾家兒童鞋店。

There are quite a few children's _____shops on ______ side of the street.(答案：shoe；either)

5.最近的醫(yī)院離此地也有大約十公里遠。

The _______hospital is about ten kilometers_________.(答案：nearest, away)6.你的書和我的不一樣。

Your book is ________ _________ mine.(答案: different from)

7.隨著科學的發(fā)展，計算機將得到更廣泛的應用。

______the development of science, computers will be used more _______.(答案： With, widely)

8.這是一場如此重要的球賽，我們不能不觀看。It's such an _____ match that we can't ______it.(答案：important，miss)翻譯填空題·考查時態(tài)與語態(tài)

（選自近年來的中考真題）

1.這位外國朋友來中國已經(jīng)半年了。

This foreign friend has _______ _______ China _______ _______ a year.(答案：been in;for half)

2.我到火車站時，火車開走了。

The train had left when I _______________the station.(答案：arrived at / got to / reached)3.你曾到過西山農(nóng)場嗎?

Have you ever ______ _______ West Hill Farm?(答案：been to)

4.老師要求我們保持教室的清潔和安靜。We are_____________________.(答案：told / asked to keep our classroom clean and quiet)5.熊貓在我國受到很好的照顧。

Pandas ______________________ in our country.(答案：are taken good care of)6.一位外籍老師正在我校演講。

A foreign teacher _______________________ in our school.(答案：is giving us a talk)

7.近五年來在西昌已發(fā)射了幾顆人造衛(wèi)星。

Several man-made satellites________________ in Xichang in the past five years.(答案：have been sent up)翻譯填空題·考查固定搭配

（選自近年來的中考真題）

1.天色漸晚，我想我們該回家了。

It's ______________, so I think it's time ______________________________.(答案：getting late;(for us)to go home)2.我們怎樣才能與鄰里和睦相處呢?

How _________________________________ our neighbors?(答案： to get on / along well with)

3.足球賽正在進行。同學們迫不及待地打開電視機觀看。

The football game is going on.The students _________________ to turn on the TV and watch it.(答案：can't wait)

4.我每天早上6:30起床。

I _________ _________ at 6:30 every morning.(答案：get up)

5.Alice 擅長跳舞。她將來想當個舞蹈家。

Alice is _________ _________ dancing.She wants to be a dancer in the future.(答案：good at)

6.學校規(guī)定上課不許遲到。

The school rule says, “ Don't _________ _________ _________ class.”(答案：be late for)

7.王楠是世界上最優(yōu)秀的運動員之一。

Wang Nan is _________ _________ the best _________ in the world.(答案：one of;athletes)

8.盡管困難重重，登山隊員們還是成功地到達了山頂。

_________ _________ _________ all the difficulties, the climbers reached the top of the mountain successfully.(答案： In spite of)

9.我不敢肯定明天她是不是會準時到學校來。

I'm not _______ _______ she'll come to school _______ _______ tomorrow.(答案：sure whether(if);on time)10.她很虛弱，經(jīng)常感冒。

She is very weak and she often ________ ________.(答案：catch cold)11.醫(yī)生告訴他戒酒。

The doctor told him to ___________drinking.(答案：give up)

12.你應該出去玩，而不是老在屋里呆著。

You should be out playing _______________ staying in the room.(答案：instead of)

13.不要阻止孩子們嘗試他們的新想法。

Don't stop the children ________________________.(答案：(from)trying out their new ideas)14.我請求媽媽不要生我的氣了。I asked my mother________________.(答案： not to be angry with me)

15.嘲笑處于困境中的人是不禮貌的。

It's not polite to__________________ those people in trouble.(答案：laugh at)翻譯填空題·考查交際用語

（選自近年來的中考真題）

1.向右轉(zhuǎn)，你就會看到一間綠樹環(huán)繞的屋子。

_______________ and you'll see a house _____________________________.(答案：Turn right / Take the right turning / Turn to the right ； with / which has green trees around it)2.喝杯咖啡怎么樣?

________ ________ drinking a cup of coffee?(答案：How about / What about)3.請問，去火車站怎么走?

________ me, how can I ________ to the railway station?(答案：Excuse, get)

4.這兒天氣很熱，為什么不出去散散步?

It's very hot here.______ _______go out for a walk?(答案：Why not)

5.我很高興又在這兒見到你。

I'm very _______ _______ _______ you here _______.(答案：glad / happy;to meet / see again)6.為何不改去參觀猴島呢?

Why _____go and visit the Monkey Island_____?

(答案：not, instead)

7.請問去電影院怎么走?

Excuse me, _______________the cinema?

(答案: which is the way to / how can I get to / could / can you tell me the way to / could / can you tell me how I canI _____ _______ the house is big enough.(答案：don't think)

8.他跑得如此之快，以至于我都趕不上他。

He ran_____ fast_______ I couldn't catch up with him.get to)

8.你最好不要走路去，太遠了。

____________________ walk there.It's too far away.(答案：You'd better not)

9.你認為泉城廣場和新建的泉城路怎么樣?

_________do you ______________the Quancheng Square and the new Quancheng Road?(答案： What;think of / about)10.你給我這么多幫助，你真好。

________________ to give me so much help.(答案：It's nice of you)

11.請在第三個十字路口向左拐彎。Please turn left at the________________.(答案：third crossing)

12.不久我們就會再次見面的。

It won't be _____ ______ we see each other again.(答案：long before)

13.請你告訴我怎樣去郵局，好嗎?

Could you ______ me _______ to the post office, please?(答案：tell;how to get)翻譯填空題·考查固定句式

1.李平昨晚花了半小時做功課。

_______________ Li Ping ___________________ his homework last night.(答案：It took;half an hour / thirty minutes to do / finish)2.那所新學校美麗得像個大花園。

That new school is ______________ that it _______________.(答案：so beautiful； is / looks like a big garden.)

3.當球迷們看到貝克漢姆的時候，他們?nèi)绱思右灾劣诖蠛按蠼小?/p>

When the football fans saw Beckham, they got _______ excited _______ they cried out.(答案：so;that)

4.秋天的天氣不冷也不熱。

It is _______ _______ _______ _______ _______ _______in autumn.(答案：neither too hot nor too cold)5.你最好脫掉你的外套。

You'd better ________ ________ your overcoat.(答案：take off)

6.她不僅會說英語，還會說漢語。

She can speak _________English _________ Chinese.(答案：not only;but also)7.我認為這所房子不夠大。

(答案：so;that)

9.昨晚瑪麗11點才睡覺。

Mary did _______ go to bed _______ eleven o' clock last night.(答案：not;until)

10.建造這座立交橋?qū)⒒ㄙM工人們一年多時間。

It will________ the workers over a year________ ________ the fly-over.(答案：take;to build)

11.外面正在下大雨，你最好呆在家里。

It's raining heavily outside.You'd________ at home.(答案：take, to build； better stay)12.我想能盡快看到他。

I would like to see him ____ _____ as possible, please.(答案：as soon)

13.如果今晚他們外出散步，我也去。

If they go out for a walk this evening, _____________.(答案：so will(shall)I)

14.孩子們對科學越來越感興趣了。

Children are becoming _____________ in science.(答案：more and more interested)

15.他是一個好人，與每個人都相處得很好。He is such a kind man _____________.(答案： that he gets on well with everyone)16.她和我都不正確。_____ she nor I _____ right.(答案：Neither;am))我們覺得晚上出去是危險的。We find_____ _______to go out at night.(答案：it dangerous)

18.我認為在短時間內(nèi)學好一門外語很難。

I _________it ________ to learn a foreign language well in a short time.(答案：think;hard /difficult)

19.乘公共汽車去那里需要我們20分鐘。I takes _____twenty _____to go there by bus.(答案：us;minutes)

20.在強烈的光線下看書不好。

_______________ us to read in strong light.(答案：It's bad / not good for)

21.每個人都保持健康是很重要的。

It's very important for everybody _______ _______healthy.(答案：to keep)

22.他說得太快了，別人聽不懂。

He spoke too fast to_____ himself______.(答案：make, understood)

23.天氣如此寒冷，以至于我們都呆在家里。

It's __________cold _________ we _________ stayed at home.(答案：so;that;all)

24.你最好不要在早飯時間去看他。

You ______ ____ _______ ______ to see him at breakfast time.(答案: had better not go)

第二篇：大學英語期末考試翻譯題專練

Translation Directions: Translate the Chinese given in the brackets into English.Please use words and expressions learned in the texts.1.He _________(確保)the same mistakes didn’t happen again.2.At that time, I ______(發(fā)現(xiàn))surrounded by a few boys.3.I _______(本來打算)give this book to you, but I forgot to bring it with me.4.Divorce is not a matter we can ______(等閑視之).5.It will be rather difficult to ______(符合)the standards set by the captain.6.We have ______（得出結論）that he has told the truth.7.I felt angry at _____（這樣對我）.8.She stared at me _______.(好像不認識我似的)9.His appearance changed so much that you ______(很可能認不出)him.10.This castle ______ the 14th century.(可追溯到)11.You can see how a literal translation of woman’s words could easily mislead a man who is used to using speech as a ______.(傳達事實的手段)12.______(既然)you are grown up, you should not rely on your parents.13.American national basketball team is not as unconquerable _____(你想象的那樣).14.What you said ______(容易讓人誤解)on such a tense occasion.15.The situation on the border of the neighboring nations is quite serious and the two countries are _______(戰(zhàn)爭邊緣).16._______（當我們把一個人稱作是成功者時）, we do not mean one who defeats the other person by dominating and making him lose.17.Anybody ______（禁止拍照）of those precious antiques in the exhibition hall.18.He ___(欺騙了很多人，使他們相信)he is a rich man..19.Anthropologists believe that most food likes and dislikes are_______.（不同的人不同的生活方式的結果）

20.This would seem to show that a lot of _______(你對藥物如何反應)is in your mind rather than in your body.

第三篇：四級考試翻譯題專練

四級考試翻譯題專練（中國古文化）

一、《論語》

《論語》(The Analects of Confucius)是儒家的經(jīng)典著作之一，它是對孔子及其弟子(disciple)的言行和對話的記錄。眾所周知，孔子是一位偉大的思想家和哲學家，他的思想被發(fā)展成了儒家哲學體系。《論語》是儒家思想的代表作，數(shù)個世紀以來，《論語》一直極大地影響著中國人的哲學觀和道德觀，它也影響著其他亞洲國家人民的哲學觀和道德觀。

參考翻譯:

The Analects of Confucius

The Analects of Confucius is one of the Confuciusclassics and is a record of the words and acts ofConfucius and his disciples, as well as theconversations they held.It's well-known thatConfucius is a great ideologist and philosopher, and his thoughts have been developed into asystem of philosophy known as Confucianism.The Analects of Confucius is a representativework of Confucianism.For centuries, it has been heavily influencing the philosophy and moraloutlook of Chinese people and that of the people of other Asian countries as well.二、《孫子兵法》

《孫子兵法》(The Art of War)是中國古代最重要的軍事著作之一，是我國優(yōu)秀文化傳統(tǒng)的重要組成部分。孫子(SunTzu)，即該書作者，在書中揭示的一系列具有普遍意義的軍事規(guī)律，不僅受到軍事家們的推崇，還在經(jīng)濟領域、領導藝術、人生追求甚至家庭關系等方面，具有廣泛的指導作用。《孫子兵法》中的許多名言警句，富有哲理、意義深遠，在國內(nèi)外廣為流傳。

參考翻譯:

The Art of War

As one of the most important ancient Chineseclassical military works, The Art of War serves as animportant part of outstanding traditional culturein China.Sun Tzu, the author of the book, revealed aseries of universal military laws which is not only valued by militarists but also playsextensive guiding roles in economy, leadership, the pursuit of life and even family relationship.There are a lot of famous quotes from The Art of War that are rich in wisdom and haveprofound meanings, and are thus widely circulated both at home and abroad.三、孟子

孟子(Mencius)是戰(zhàn)國時期(the Warring States Period)偉大的思想家、教育家。孔子去世100年后，孟子傳授并發(fā)展了孔子的學說，他的哲學思想與孔子是一脈相承的。孟子認為人性本善，是社會的影響引發(fā)了道德的墮落，因此十分重視道德教育。孟子的母親在他的生命中扮演了重要的角色，她曾三度遷居，只為了幫助她的孩子找到一個合適的成長環(huán)境。

參考翻譯:

Mencius

Mencius is a great ideologist and educator in theWarring States Period.A hundred years afterConfucius died, Mencius taught and expandedConfucian doctrine.His philosophical thinking hasits origin in Confucius'thoughts.Mencius believes that human nature is essentially good, and itis society's influence that causes the degradation of morality.For that reason, he attachesgreat importance to moral education.Mencius'mother plays an important role in his life.Shemoved home three times only to find an environ

四、秦始皇

贏政(前259年?前210年)，莊襄王之子，秦朝的開國皇帝。他13歲繼承秦王王位，21歲親理國事。在公元前221年，秦始皇統(tǒng)一了全國，建立了中國歷史上第一個中央集權的(centralized)封建國家。秦始皇在位期間統(tǒng)一了文字、貨幣和度量衡等;他所開創(chuàng)的皇權制度，在中國歷史上一直延續(xù)了兩千多年。然而，秦始皇為了控制人民和加強專制統(tǒng)治(autocratic rule), 采取了許多殘忍的手段，其中最著名的就是“焚書坑儒”。

參考翻譯:

Qin Shi Huang

Ying Zheng(259 B.C.-210 B.C.), the son of KingZhuangxiang, is the first emperor of the QinDynasty.He ascended the throne at 13, and tookover with state affairs himself at 21.In 221 B.C., QinShi Huang unified the country and established the first centralized feudal state in Chinesehistory.Qin Shi Huang unified the Chinese characters in writing, currency, and measures forlength, capacity and weight.The imperial power system set up by him lasted for more than2,000 years in Chinese history.However, in order to control people and strengthen theautocratic rule, Qin Shi Huang took many brutal means.The most famous one is “Fen ShuKeng Ru”，that is to burn books and bury Confucian scholars alive.五、指南針

中國是舉世公認的發(fā)明指南針(compass)的國家。最初的指南針叫做司南(Sinan, a south-pointing ladle)，出現(xiàn)在戰(zhàn)國時期。一般在指南針上標有東南西北四個方位，并且還有刻度。北對應零度，刻度隨順時針方向而增加。作為中國古代的四大發(fā)明之一，指南針對人們的生活，尤其是航海業(yè)的發(fā)展，起到了重要的作用。指南針對西方世界也產(chǎn)生了顯著的影響，這些國家由此開始了大規(guī)模的海外冒險活動。

參考翻譯:

The Compass

China is universally acknowledged as the countrywhere the compass was invented.The compass,originally called Sinan, a south-pointing ladle,appeared during the Warring States Period.Generally, the directions of north, east, west and south are shown on the compass, and so arethe angle markings in degrees.North corresponds to zero degree, and the degrees increaseclockwise.As one of the four great inventions of ancient China, the compass played animportant role in people’s life, especially in maritime undertakings.It also had a significantinfluence on the western world, as thereafter those countries began large-scale overseasadventures.六、茶文化

中國是一個文化歷史悠久的(time-honored)國度，也是一個禮儀(ceremony and decorum)之邦。每當客人來訪，都需要泡茶給客人喝。在給客人奉茶之前，你應該問問他們都喜歡喝什么類型的茶，并采用最合適的茶具奉上。奉茶期間，主人需要仔細留意客人的茶杯里的茶量。通常，若是用茶杯泡的茶，在茶喝完一半之后就應該加開水，這樣，茶杯就一直都是滿的，茶的芳香(bouquet)也得以保留。

參考翻譯:

Chinese Tea Culture

China is a country with a time-honored civilizationand also a land of ceremony and decorum.Whenever guests visit, it is necessary to make andserve tea to them.Before serving tea, you may askthem for their preferences as to what kind of tea they fancy, and serve them the tea in themost appropriate teacups.In the course of serving tea, the host should take careful note ofhow much water remains in the guests'cups.Usually, if the tea is made in a teacup, boilingwater should be added into the cup when half of the tea in it has been consumed;and thus thecup is kept filled and the tea retains the same bouquet.七、七夕

每年農(nóng)歷七月初七是中國的情人節(jié)(Valentine's Day)。關于這個節(jié)日有一個美麗的傳說：王母娘娘(the Queen ofHeaven)最年幼的女兒“織女”愛上了人間的男子“牛郎”，王母反對仙女與凡人相愛，就用銀河(Milky Way)將他們隔開。但牛郎和織女的愛情感動了人間的喜鵲(magpie)，每年七月初七這一天，喜鵲會搭起一座鵲橋讓這對情侶相見。而如今在這一天，年輕的女子常在月下向織女祈禱，期望得到美滿的姻緣。

參考翻譯:

Chinese Valentine's Day

The seventh day of the seventh month in the lunarcalendar is Chinese Valentine's Day.There is abeautiful legend about this festival: Zhi Nu, theyoungest daughter of the Queen of Heaven, fell inlove with Niu Lang, a cowherd on earth.Zhi Nu's mother was opposed to the love between afairy and a human, so she separated the two lovers with the Milky Way.However, their lovestory moved the magpies on earth.Those magpies gather together annually on the seventhday of the seventh lunar month to form a “magpie bridge”，so that the couple can meet eachother once in a year.Today, on this day, young girls often pray to Zhi Nu in the moonlight,wishing for a happy marriage.八、書法

書法(calligraphy)在中國的傳統(tǒng)藝術領域占有非常重要的位置。書法已經(jīng)歷時2000多年了。它有五種主要的書寫方式，每種都有不同的書寫技法。練習書法需要文房四寶(FourTreasures of the Study)。書法被認為是一種需要內(nèi)心平靜的藝術形式。今天，盡管出現(xiàn)了各種各樣的現(xiàn)代書寫方式，但人們?nèi)匀唤?jīng)常將書法作為一種業(yè)余愛好進行練習。如今，書法在西方也越來越受歡迎。

參考翻譯:

In China,calligraphy occupies a very importantposition in the field of traditional art.Calligraphyhas a history lasting for more than 2,000years.There are five main ways of writing and eachneeds different techniques.To practice calligraphyrequires the Four Treasures of the Study.Calligraphy is considered to be an art form requiringinnerpeace.Today,although various modern ways of writing have come up,calligraphy is stillpracticed often as a hobby.Nowadays,it has also become more and more popular amongwesterners.九、中國結 中國結(Chinese knotting)是中國典型的本土藝術。它的特點是每一個結都是由—根繩索編成的，并由其特定的外形和意義來命名。中國結的傳統(tǒng)源遠流長。在古代，由于沒有現(xiàn)在的配件，如紐扣或拉鏈，人們不得不把服裝帶打結，來綁住他們的衣服。多年來，中國結從原來擁有實際用途演變成一種優(yōu)雅的、豐富多彩的工藝品。今天，人們喜歡中國結，是因為其形式特別、色彩多變并且意義深厚。

參考翻譯:

Chinese knotting is a typical local art of China.Itscharacteristic is that every knot is made with asingle rope and named by its specific form andmeaning.The tradition of Chinese knotting enjoys alonghistory.Without present-day accessories such asbuttons or zips, ancient people had to knot the clothing belt so as to tie their dresses.Overtheyears, Chinese knot has now evolved to a kind of elegant and colorful artware from owningpracticaluse.Today, people are fond of Chinese knot for its characteristic form, colorfulnessand profound meaning.十、中醫(yī)

中醫(yī)(Traditional Chinese Medicine)有五千多年的歷史，是中國古代勞動人民幾千年來對抗疾病的經(jīng)驗總結。中醫(yī)將人體看成是氣、形、神的統(tǒng)一體，以“望、聞(auscultationand olfaction)、問、切”為其獨特的診斷過程。中醫(yī)使用中藥、針灸(acupuncture)以及許多其他治療手段，使人體達到陰陽調(diào)和。陰陽和五行是中醫(yī)的理論基礎。五行是自然界中的五種基本物質(zhì)，即金、木、水、火、土。

參考翻譯:

Traditional Chinese Medicine

Traditional Chinese Medicine(TCM)has a longhistory of more than 5,000 years.It is a summaryof the experience of the working people over manycenturies of struggle against diseases.TCM considershuman body as a unity of QI, XING and SHEN.The diagnostic process of TCM distinguishesitself by “observation，auscultation and olfaction, inquiry and pulse diagnosis”.TCM usestraditional Chinese medicine, acupuncture and many other treatment means to make humanbody be harmony between YIN and YANG.The concepts of YIN-YANG and WU XING laid atheoretical foundation for TCM.WU XING refers to five basic substances in the nature, thatis, metal, wood, water, fire, and earth.十一、儒家思想

儒家思想(Confucianism)是中國影響最大的思想流派，也是中國古代的主流意識。自漢代以來，儒家思想就是封建統(tǒng)治階級(feudal ruling class)的指導思想之一。儒家思想的核心其實是一種人道主義(humanism)。它提倡自我修養(yǎng)，認為人是可教化的、可完善的。儒家思想的一個宏大的目標就是實現(xiàn)“大同社會”，在這樣的一個社會中，每個人都能扮演好自己的角色，并與他人維持良好的關系。

參考翻譯:

Confucianism

Confucianism is the largest Chinese school ofthoughts, and the mainstream consciousness ofthe ancient China.Confucianism had been one of theruling doctrines of the feudal ruling class since theHan Dynasty.The core of Confucianism is actually a kind of humanism.It advocates self-cultivation, and believes that human beings are teachable and improvable.A grand goal ofConfucianism is to achieve a harmonious society in which each individual plays his or her partwell, and maintains a good relationship with others.十二、年畫

中國人在慶祝傳統(tǒng)新年時，有貼年畫(New Year pictures)的習俗。這在宋朝的史料中有所記載。廣大農(nóng)村尤其流行這個習俗。在新年來臨之際每個家庭都忙于往門、窗戶和墻上貼彩色的年畫或剪紙(paper-cut)。傳統(tǒng)的年畫是用簡單清晰的線條和明亮的色彩描繪出繁榮的景象。年畫表達的主題范圍很廣，但所有年畫傳遞的信息一直都是好運、節(jié)日氣息或人們希望的其他好事情。

參考翻譯:

Chinese people have the custom of sticking up NewYear pictures to celebrate the traditional New Year.This can be traced in the historical records of theSong Dynasty.The custom is particularly popular inthe vast countryside.Upon the coming of the NewYear, every household will be busy pasting colorful New Year pictures or paper-cuts on theirdoors, windows and walls.Traditional New Year pictures are characterized by scenes ofprosperity depicted in simple, clear lines and brilliant colors.The themes expressed in NewYear pictures cover a wide range, but the messages all pictures convey are always good luck,festival atmosphere or other nice things in the wish of the people.

第四篇：中考英語單句改錯專練500題

中考英語單句改錯專練500題[一]

1.Everyone of us is working hard in the factory.2.I have caught a bad cold for a week and I can’t get rid of it.3.This is the steel plant where we visited last week.4.Following the road and you will find the store.5.This is all what Dr.Smith said at the meeting.6.He promised to come and see us after the supper.7.John had been here to see you, but he left five minutes ago.8.My mother is busy preparing for supper.9.I’ve heard him but I never know him.10.We got on the school bus and which took us straight to the People’s Park.1.Everyone-Every one 2.caught-had 3.where-which 4.Following-Follow 5.what-that;or drop “all” 6.drop “the” 7.had been-came 8.drop “for” 9.heard of 10.which-it 11.From what I have seen and heard, I must say Chinese people are living happily.12.Everyone agreed to his suggestion which we should hold a meeting to talk about the problem.13.Oliver Twist, the hero of the story, he was an orphan.14.Why don’t you ask anybody else to help you?

15.The pen is missing, for we cannot find it everywhere.16.Sorry, I have a such book.17.The two languages are not at all the same in neither spelling or grammar.18.Most people can quick get help from a doctor when ill.19.He told me that how important it is to learn English.20.Can’t you remember tell me that the other day?

11.must-can 12.which-that.13.drop “he” 14.anybody-somebody 15.anywhere 16.a-an 17.neither-either 18.quick-quickly 19 drop “that” 20.tell-telling 21.She asked me if I had found out my new pen.22.He had changed so much that I could hardly know him.23.I learnt of from Joan that Mary had fallen ill.24.I didn’t hear you.Please repeat the sentence again., 25.Would you please speak something about your family? 26.We must study hard in order to serve for the people better in the future.27.I know little about Tom, but I know Mary better than he.28.The writing of the report spent me two evenings.29.If I had time, I shall see the new film.30.Don’t let the children who are so young to go swimming.21.drop “out” 22.know-recognize 23.drop “of” 24 drop “again” 25 speak-say 26 drop “for” 27 add “about” before Mary 28.spent-took 29.shall-would 30 drop “to”

31.It took place in France, an European country.32.Would you bought the dictionary if you had had more money yesterday? 33.I shall lend the money to who comes first.34.That is known to all, Taiwan belongs to China.35.What was it that woke up the baby? 36.“Do you mind getting me some water?” “Certainly don’t.” 37.He enjoyed nothing but listen to music.38.Cotton feels softly.39.He is by far the clever student in our class.40.I came here especially to ask you for advice.31.an-a 32 add “have” before “bought” 33 who-whoever 34That-As 35 right 36 don’t-not 37but-but to 38 softly-soft 39 clever-cleverest 40especially-specially.41.I don’t doubt whether I’m able to finish the work on time.42.Would you be kind as to turn off the TV set? 43.Do you know what do these words mean? 44.Hearing her name calling, she rushed out of the room.45.Do you know anything about the accident happened in the village yesterday? 46.The little girl hurried home with the remained money.47.Speak slowly and try to make yourself understand 48.The population of Zhengzhou is fewer than that of Beijing.49.My father has two brothers , both of them are all Party members.50.I followed Mr.Smith entering the office.251.I always find physics difficulty to learn.252.It was polite for him to make room for you.253.That’s quite far from here to the bus stop.254.He made such many mistakes in his homework that the teacher made him do it again.255.There were many restaurants and we were not sure which to eat.256.She fixed all the radios besides the smallest one ,because there were no parts for it.257.“Which of the two buses goes to the hospital? “None of them does.” 258.Be careful not to loose the money.259.Many new homes have been built in the past few months in our village.260.New York is the larger city in the U.S.251difficulty→difficult 252 for→of 253That→It 254 such→so 255eat→eat in 256 besides→except257 None→Neither 258loose→lose 259homes→houses 260 larger→largest

261.She takes much interest in the Chinese history.262.My brother left the school at the age of fifteen.So he hasn’t much knowledge.263.Mary got up, dressed her and went to the party.264.Made of plastics, so the machine is quite light in weight.265.Even a boy of three knows it’s wrong to say lies.266.My father has two brothers and three of them are all Party member.267.The discovery is great importance in science.268.Do you know who’s English is the best in your class? 269.“Are those apples green or red? “Yes, they are red.” 270.We play basketballs at four in the afternoon.261 drop “the”262drop the first “the” 263her→herself 264drop “so” 265say→tell 266 three→both 267is→is of 268who’s→whose 269drop “yes” 270 basketballs→basketball

271.About two hundred fifty workers attended the meeting.272.Pass Rose and I two pieces of bread, please.273.Here are some news for you, Mary.274.Look!A police is coming this way.275.You’d better borrow your bike to her.276.The teacher will have a talk with you after the class.277.I’m sorry, sir.I was late to school this morning.278.The match between Class 4 and Class 5 is sure to be excited.279.The talk is going to give by a famous professor.280.The teacher told me that Mary did very good in drawing.271hundred→hundred and 272 I→me 273are→is 274police→policeman 275to→from 276drop “the” 277to→for 278 excited→exciting 279 to give→to be given 280good→well

281.You can’t jump so highly on the earth as on the moon.282.There’s going to be a match this afternoon, isn’t it? 283.She said she was leaving the second morning.284.Tell him about it if you will see him tomorrow.285.Do more speaking, you will be good at spoken English.286.The boy was too tired not to walk any farther.287.The students are really pleased after such a pleasing trip.288.It has been too dry this year and there are a few apples on the tree.289.Hundreds college students gathered for the meeting.290.In the past three years, the doctor saved many people’s lives.281 highly→high 282it→there 283second→next 284drop “will” 285 you→and you 286 drop “not” 287pleasing→pleasant 288drop “a” 289 hundreds→hundreds of 290 saved→ has saved

291.We all hope he will stay here for another some days.292.The town is two miles far away from our school.293.To them joy, they got two tickets for the football match.294.Mary is an active girl when his brother is a man of few words.295.Our physics teacher said light traveled faster than sound.296.His grandfather has been death for nearly a year.297.The teacher handed over the textbooks to the students.298.A plane is the machine that can fly.299.You will have to give other example.One is not enough.300.The letter was sent by an old friend of John.291 some→few292drop “far” 293them→their 294when→while 295traveled→travels 296death→dead 297 over→out298 the→a299other→another 300John→John’s 301.None job is easy enough for him to do.302.Every of them has a copy of the handbook.303.Who’s the young man playing a violin? 304.I feel very asleep now because I didn’t sleep well last night.305.You are wanted by the phone.306.Better don’t leave your little daughter by herself at home.307.Do you still remember the house there we used to play? 308.She stopped cry and told me what had happened.309.A language can only be learned with using it.310.The police works hard day and night for the safety of the people.301None→No 302Every→Each 303a→the 304 asleep→sleepy305by→on 306don’t→not 307there→where 308 cry→crying309 with→by310works→work

311.I used to having a drink before going to bed.312.She’s very ill but the doctor won’t give her away.313.All needs to be done should be done quickly.314.Fish can’t live there’s no water.315.He came to the party without invited.316.He raised his noise in order to be heard by us all.317.I have no clean clothes and have to have the dirty clothes washing.318.The ground is covered with falling leaves.319.Man can now travel in the space.320.Usually in the beginning of class, we read aloud our texts.311 works→work312away→up 313All→All that 314live→if live 315invited→being invited 316noise→voice 317washing→washed 318falling→fallen 319drop “the” 320in→at

321.Three-fourths of the apple were eaten by the rat.322.The boy was sent to hospital with one of his legs breaking.323.I have made this clear to her that her job is very important.324.I once suggested that we students must be given more free time.325.I had hardly set out than it began to rain.326.It was as he was ill that he missed the chance.327.I have never seen a snake so thick as a log.328.How I hope I hadn’t missed the lecture yesterday.!

329.My home town has taken on a new look.How great it has changed!330.He didn’t marry with my sister until he was thirty.321were→was 322breaking→broken 323this→it 324must→should 325than→when 326as→because 327so→as 328hadn’t missed→didn’t miss 329great→greatly 330drop “with”

331.I don’t suppose he will be back in six.332.Their football team has won ours several times.333.Do you know our team leader we call him Big Wang? 334.We’d like see your birthday present.335.She reached early in order to sit in the front.336.In the end of the class, the teacher taught us an English song.337.We all find it difficulty to learn physics.338.I t is known to all that Lu Xun died in 30’s.339.Is it true that some Germen will come to our school next week? 340.We shall never forget what that the headmaster said at yesterday’s meeting.331 in→at332won→beated 333drop “him” 334see→look at 335reached→arrived 336In→At 337difficulty→difficult 338in→in his 339Germen→Germans 340drop “that”

341.My brother didn’t stop play outside until my mother called him.342.The students were praised because having made rapid progress.343.It is I who is right.344.Is this the pen you bought it last Sunday? 345.John looks much like his mother than his father.346.I t was happened that he was not at home when we called.347.It’s very nice for you to help me with that heavy bag.348.My son isn’t old enough not to go to school.349.I didn’t think it one of the best films that has ever been shown here this year.350.Each of the students in our class have got such a dictionary.341play→playing 342because→for 343is→am 344drop “it” 345much→more 346drop “was” 347for→of 348drop “not” 349has→have 350have→has 351.It is the soldier which was wounded in that battle.352.I have to get up early tomorrow so that I catch the first bus.353.She left her hometown to Shanghai early this morning.354.He will be well again in three days’ time.I hope you to take it easy.355.We make him our monitor, but he refused.356.She knows quite a few English words, she’s only a girl of six.357.From this fact we can see that one shouldn’t be too sure of oneself.358.His advice how to improve our writing sounds reasonable.359.There are such many mistakes in his homework.360.You see what clever the boy is.351which→that 352catch→can catch 353to→for 354drop “to” 355drop “monitor” 356she’s→though she’ 357oneself→himself 358how→on how 359such→so 360what→how

361.They kept on coming to the hospital and see him.362.I don’t think the TV set took him so much money.363.He’s getting old.He doesn’t eat as many as before.364.Why not stopping for a rest under that tree? 365.Your voice sounds quite different in the phone.366.It’s very nice for you to help me.367.Who’s younger, Rose and Mary?

368.Could you tell me when he has arrived? 369.I’m sorry I have such little money on me.370.By that time, she had falled asleep.361see→seeing362took→cost363many→much 364stopping→stop 365in→on 366for→of 367and→or 368drop “has” 369such→so 370falled→fallen 371.I can’t decide if to go and see him or not.372.I won’t believe it until I had seen it myself.373.Let me fit the new clothes in my son.374.The fact which he gave up smoking delighted his wife.375.The young man looks strange on that suit.376.Do you know who is in the charge of the children here? 377.I need a cloth to wipe out the mud with.378.All he could do were to go back home.379.Thank you for the pleasing evening.380.I was told to go there at once, that I followed.371 if→wether 372had→have 373in→on 374which→that 375on→in 376drop “the” 377 a cloth→a piece of cloth378were→was 379pleasing→pleasant 380that→so

381.Why worry? It’s nothing serious.382.It’s years after I painted a picture.383.He ran in and told us the excited news.384.As a student, I didn’t use to playing football.385.All the work here was done by hands.386.Excuse me, shall I have the word with you? 387.He is not here.He can have gone to the library.388.The dress my aunt bought me isn’t fit me.389.I t was raining hard and he prevented from going out.390.You’d better not have the machine work too long.381worry→worried382after→since383excited→exciting384playing→play385hands→hand386the→a387can→may388isn’t→doesn’t 389prevnted→was prevented 390work→working

391.Having read the magazine, so he put it in its place.392.The woman stands there is a friend of my mother’ s.393.Food, such as rice and vegetables , have been wasted a lot by the students.394.Much have been done about the pollution.395.There will be a lot of more people in this developing area.396.The sun’s light and heat make possible for plants to grow better.397.Does the air in this city use to be very dirty? 398.His parents prevented him from sent to Tibet.399.Mary had her hair burning while doing cooking.400.Plastics is used to taking the place of wood in many fields.391drop “so” 392stands→standing 393have→has 394have→has 395drop “of” 396make→make it 397Does→Did 398sent→being sent 399buring→burned 400taking→take

401.Does this river go across the town or around it? 402.The town has population of forty thousand.403.Please tell me all what he told you the other day.404.Although he is considered a great writer, still his works are not

widely read.405.It won’t be long before they will get married.406.What a fun it is to go swimming in summer.407.They spent many years save enough money to build a house of their own.408.Man can travel in the space.409.Will you join in us if we decide to do the new experiment? 410.She is thinking about what do next.401around→round 402has→has a 403what→that 404still→yet 405drop “will” 406drop “a” 407save→saving 408drop “the” 409drop “in” 410do→to do

411.Only then did I realized that I had made a mistake.412.I wonder if you will be kind to carry the bag for me.413.I didn’t learn to ride a car until I was forty.414.We hoped each other the best of luck in the exam.415.Sorry, your letter is still in my pocket.I forgot post it.416.The speaker is an old professor in his sixty’s.417.The fish has gone bad.It smells terribly.418.When she came, you were on your way to get the key you have left in the office.419.Last night my father worked late into the night, prepared a report for the meeting.420.I once suggested give us students more free time.411realized→realize 412kind→kind enough 413ride→drive 414hoped→wished 415post→to post 416sixty’s→sixties 417terribly→terrible 418have→had 419 prepared →preparing420give→giving

421.The light in the hall is still turned on.I have to go and turn it off.422.Why did she refused to take his presents is not known.423.Usually at the begin of a meeting, we sang the national song.424.He was quite out of breathe when he got there.425.After quickly washing my clothes, I went to receive her at the station.426.Look up!There’s danger ahead.427.”Do you know she doesn’t like you?” “No, I don’t.Nor don’t I care.”

428.“How is your mother now.“She is a lot of better,.thank you.429.To my mind, this novel is far much interesting than that one.430.Tom is a good boy, except he is sometimes a little careless.421drop “turned” 422drop “did” 423begin→beginning 424

breathe→breath425 quickly→quick426up→out 427don’t→do 428drop “of” 429much→more 430except→except that

431.These days I am considering change my job.432.Will the people sit at the back please keep quiet? 433.Probably I’ll stay four and five days with my uncle.434.Three fourths of the earth are covered by water.435.That she learned from you made her very sad for a few weeks.436.Now a color TV set costs much less than it was years ago.437.It is said that the man has been found and was sent to hospital.438.I could have helped her but she didn’t ask me.439.She was just about get into sleep when the baby began to cry.440.Last Sunday I went to town, buying some apples and visited my grandma.431change→changing 432sit→sitting 433and→or 434 are→is435 That→What436was→did 437drop “was” 438me→me to 439about→about to 440visited→visiting

441.I remember she was killed in an accident in a rainy day.442.She hasn’t got used to speak in public yet.443.Tom failed again in his English exam, this made his father very angry.444.Jane hasn’t come yet.What do you suppose having happened to her? 445.Even if inviting , I won’t go.446.The Yangtze River is the fourth long river in the world.447.One of the students sit in front gave a different answer to the question.448.The trousers are made very small.The cloth have been wasted.449.It’ll be some time when the building is completed.450.They lost the game.How they wish they didn’t.441in→on 442speak→speaking 443this→which 444 having→has445inviting→invited 446 long→longest447sit→sitting 448have→has 449when→before 450didn’t→hadn’t

451.Does she matter if she is a bit late for the meeting? 452.Did you have any difficulties in making the machine move again? 453.Having lived in Shanghai for many years , he knew the city very much.454.How about invited her to dinner tonight? 455.We made up our mind to do our best to make progress.456.It has rained for days and the river has raised about five feet.457.There was nothing in his talk which interested me.458.Mary was among the girls who was praised at the meeting.459.The number of the passengers killed in the accident are surprising.460.I have made this clear to her that the job is very important.451change the first “she” into “it” 452difficulties→difficulty 453 much→well454invited→inviting455mind→minds456raised→risen457which→that 458 was →were459 are→is460this→it

461.I can’t go with you, but I really wish I can.462.If you told me about it , I would have helped you.463.She insisted that she hadn’t took my magazine.464.We haven’t moved into the building because the rooms are being painting.465.The more he thought about it , the more questions he thought of ask.466.His order is that the rules don’t be broken anytime.467.The play to be put up next week is an exciting one.468.He is well known in this city with that new invention.469.The boy is always m aking a lot of noises.470.I just couldn’t think of a way solving the problem at that time.461 can→could462told→had told 463 took→taken464painting→painted 465ask→asking 466don’t→shouldn’t 467up→on 468with→for 469 noises→noise470way→way of

471.No one in my family but my parents are interested in the play.472.Little I know when it was impolite to get in a word.473.“You make a mistake here, Li, Ping.” “Why , so I was.” 474.It was until midnight that he felt asleep.475.The puzzling mother couldn’t understand why her daughter got so excited.476.I have handed in all the exercise books except John.477.I had hardly set out than it began to rain.478.Since she understood you, why not to try to explain it to him? 479.By the time you will come back , we shall have had our final examination.480.I’m afraid I will have a little time to come and see you.471are→is 472I→did I 473 was→did474 felt→fell475puzzling→puzzled 476John→John’s 477than→when 478 drop the firsr “to”479 drop “will” 480drop “a”

481.All happened in our school was quite unexpected.482.Bamboo is very useful.We can make it of many kinds of things.483.You are only one of the workers I can trust.484.The food in our country is quite different from one in Britain.485.Was it last Sunday when you met her in the street? 486.That is two days since I came here.487.What was it which you sent her the next day.488.Mary fell seriously ill last week but now she looks as good as before.489.Can you tell me how much the TV set took you? 490.It took place in the afternoon when I met you in the street 481All→All that 482 of→into483only→the only 484one→that 485when→that 486 That→It487which→that 488good→well 489took→cost 490in→on

491.The book is said to have translated into several languages.492.“ It’s not good room for you, isn’t it” 493.The sight of a snake very frightened her.494.I have never seen so thick a snow.495.I just can’t imagine how a satellite looks like.496.The young man lives upstairs is a man of few words.497.I don’t think the woman easy to get along with.498.Please tell me how long she has got married.499.The old man was found lying death in bed a week later.500.The professor who arrives this morning is from Beijing University.491 have→have been492isn’t→is 493very→quite 494drop “a” 495 how→what496lives→living 497easy→is easy 498got→been 499death→dead 500arrives→arrived

501.He stood up to make himself see and was soon found by his friends.502.It was late but the peasants still had their tractor work in the fields.503.Don’t worry.I’ll have John finishing the work for you.504.She doesn’t talk as many as she used to.505.Stay where you are, boys.Wait until I will come back.506.I was running after Tom’s bike while I fell over a stone.507.John and I have done our homework, Mother.So let me go for a swim, will you? 508.Of all the students I made few mistakes in the exam.509.The boy told the teacher all had happened.510.There are more than fifty students in his class, but only few of them like music.501 see→seen502work→working 503finishing→finish 504many→much 505drop “will” 506while→when 507 me→us508 few→the fewest509all→all that 510few→a

第五篇：中考復習：相似三角形專練（附答案）

中考復習：相似三角形專練

一、單選題

1．若且周長之比1：3，則與的面積比是（）

A．1：3

B．

C．1：9

D．3：1

2．如圖，已知是三角形中的邊上的一點，的平分線交邊于，交于，那么下列結論中錯誤的是（）

A．三角形相似于三角形

B．三角形相似于三角形

C．三角形相似于三角形

D．三角形相似于三角形

3．如圖中，D為上任意點，且，則值為（）

A．

B．

C．3

D．

4．如圖，在中，若，則長為（）

A．6

B．8

C．9

D．12

5．如圖，D、E分別是△ABC的邊AB、BC上的點，DE∥AC，若S△BDE：S△CDE＝1：3，DC、AE交于點F，則S△DEF：S△ACF＝（）

A．

B．

C．

D．

6．如圖，點為的平分線上一點，的兩邊分別與射線交于兩點，繞點旋轉(zhuǎn)時始終滿足，若，則的度數(shù)為（）

A．153°

B．144°

C．163°

D．162°

7．如圖，在中，、為邊的三等分點，點為與的交點．若，則為（）

A．1

B．2

C．

D．3

8．如圖，知形ABCD中，AB＝6，BC＝4，對角線AC、BD相交于點O，CE平分OB，且與AB交于點E．若F為CE中點，則△BEF的周長是（）

A．＋2

B．2＋2

C．2＋2

D．6

9．如圖，中，分別是，邊上的高，且，則的值為（）

A．

B．2

C．

D．

10．已知在中，是邊上的一點，過點作于點，將沿著過點的直線折疊，使點落在邊的點處（不與點重合），折痕交邊于點，則的長為（）

A．或

B．

C．

D．或

11．△ABC的邊長AB＝2，面積為1，直線PQBC，分別交AB、AC于P、Q，設AP＝t，△APQ面積為S，則S關于t的函數(shù)圖象大致是（）

A．

B．

C．

D．

12．如圖，已知雙曲線和，直線與雙曲線交于點，將直線向下平移與雙曲線交于點，與軸交于點，與雙曲線交于點，，則的值為（）

A．－4

B．－6

C．－8

D．－10

13．如圖，在Rt△OAB中，∠OBA＝90°，OA在軸上，AC平分∠OAB，OD平分∠AOB，AC與OD相交于點E，且OC＝，CE＝，反比例函數(shù)的圖象經(jīng)過點E，則的值為（）

A．

B．

C．

D．

14．如圖，AB＝4，射線BM和AB互相垂直，點D是AB上的一個動點，點E在射線BM上，2BE＝DB，作EF⊥DE并截取EF＝DE，連接AF并延長交射線BM于點C．設BE＝x，BC＝y(tǒng)，則y關于x的函數(shù)解析式是（）

A．y＝﹣

B．y＝﹣

C．y＝﹣

D．y＝﹣

15．幾千年來，在勾股定理的多種證明方法中，等面積法是典型的一種證法，清代數(shù)學家李銳運用這一方法借助三個正方形也證明了勾股定理．如圖，四邊形，四邊形，四邊形均為正方形，交于點交于點K，點在同條直線上，若，記四邊形的面積為，四邊形的面積為，則的值為（）

A．

B．

C．

D．

16．如圖，等腰中，于D，的平分線分別交于兩點，M為的中點，延長交于點N，連接下列結論：①；②；③是等腰三角形；④，其中正確的是（）

A．①②

B．①④

C．①③

D．②③

17．如圖，在等腰中，．點和點分別是邊和邊上兩點，連接．將沿折疊，得到，點恰好落在的中點處設與交于點，則（）

A．

B．

C．

D．

18．如圖，在正方形ABCD中，△BPC是等邊三角形，BP、CP的延長線分別交AD于點E、F，連接BD、DP，BD與CF相交于點H，給出下列結論：①BE=2AE；②△DFP∽△BPH；③△PFD∽△PDB；④DP2=PH·PC；其中正確的有（）

A．①②③④

B．②③

C．①②④

D．①③

二、填空題

19．如圖，已知DC為∠ACB的平分線，DE∥BC．若AD＝8，BD＝10，BC＝15，求EC的長＝_____．

20．如圖，在平行四邊形中，，的平分線交于E，交的延長線于F，于G，則的長______，為的長為______．

21．如圖，在ABC中，D、E分別是AC、AB上的點，＝，若S四邊形DEBC，則＝_____．

22．如圖，在中，，D，E分別是邊AC，BC上的兩動點，將沿著直線DE翻折，點C的對應點為F，若點F落在AB邊上，使為直角三角形，則BF的長度為______

．

23．如圖，在矩形中，，平分，點在線段上，過點作交邊于點，交邊于點，則___．

24．如圖，在矩形OAA1B中，OA=3，AA1=2，連接OA1，以OA1為邊，作矩形OA1A2B1使A1A2OA1，連接OA2交A1B于點C；以OA2為邊，作矩形OA2A3B2，使A2A3OA2，連接OA3交A2B1于點C1；以OA3為邊，作矩形OA3A4B3，使A3A4OA3，連接OA4交A3B2于點C2；…按照這個規(guī)律進行下去，則△C2019C2020A2022的面積為____．

三、解答題

25．如圖，已知，求證：．

26．如圖，在梯形中，過點A作，垂足為點E，過點E作，垂足為點F，聯(lián)結，且平分．

（1）求證：；

（2）聯(lián)結，與交于點G，當時，求證．

27．如圖，已知中，，于點，點是線段上的一個動點．

（1）如圖1，若點恰好在的角平分線上，則______；

（2）如圖2，若點在線段上，且，過點、分別作于點，于點．

①求證：∽；

②求的值；

③求的值．

28．在正方形ABCD中，對角線AC與BD相交于點O．若點E是BC上的一個動點．

（1）如圖1，若F為DE的中點，求證：CF＝DF；

（2）如圖2，連接DE，交AC與點F，當DE平分∠CDB時，求證：AF＝OA；

（3）如圖3，當點E是BC的中點時，過點F作FG⊥BC于點G，求證：CG＝BG．

29．（1）問題探究：如圖1，在正方形中，點、、分別是、、上的點，且，求證：；

（2）類比應用：如圖2，在矩形中，，將矩形沿折疊使點落在點處，得到矩形．

①若點為的中點，試探究與的數(shù)量關系；

②拓展延伸：連，當時，，求的長．

30．在中，點在邊上，分別連接．

（1）如圖1，三點在同一條直線上．

①若，求的長；

②求證：．

（2）如圖2，若，分別是的中點，求的值．

參考答案

1．C

解：∵且周長之比1：3，∴與的相似比=1：3，∴與的面積比=12：32=1：9，2．C

解：A.又平分

故A不符合題意；

B.平分

又

故B不符合題意；

C.三角形與三角形，僅有一個公共角，不能證明相似，故C錯誤，符合題意；

D.故D不符合題意，3．D

解：∵，∠CAD=∠BAC=90°，∴△CAD∽△BAC，∴，設，則，解得，4．C

解：∵，∴△ADE∽△ABC，∴即，∴．

5．D

∵，∴，∵，∴，∴，∴，6．A

解：∵OA?OB＝OP2，∴，∵∠BOP＝∠AOP，∴△PBO∽△APO，∴∠OBP＝∠OPA，∵∠MON＝54°，∴∠BOP＝27°，∴∠OBP+∠BPO＝180°﹣27°＝153°

∴∠APB＝∠BPO+∠APO＝153°；

7．C

解：∵D、E為邊AB的三等分點，EF∥DG∥AC，∴BE＝DE＝AD，BF＝GF＝CG，AH＝HF，∴AB＝3BE，DH是△AEF的中位線，∴DHEF，∵EF∥AC，∴△BEF∽△BAC，∴，即，解得：EF＝3，∴DHEF3＝，8．C

解：∵四邊形是矩形，設與交于點，如圖，∴

∴

又

∴

∴

在矩形中，∵CE平分OB，∴

∴

∴

∵

∴

在中，∴

∵為CE中點，∴

∴的周長等于

9．B

解：∵，為公共角，∴∽，∴，∴∽，∴，∴，在中，即，解得（負值已舍去），10．A

解：∵，∴，∵DH⊥AC，∴DH∥BC，∴△ADH∽△ABC，∴，∵AD=7，∴，∴，將∠B沿過點D的直線折疊，情形一：當點B落在線段CH上的點P1處時，如圖1中，∵AB=12，∴DP1=DB=AB-AD=5，∴，∴；

情形二：當點B落在線段AH上的點P2處時，如圖2中，同法可得，綜上所述，滿足條件的AP的值為或．

11．B

解：∵PQ∥BC，∴

∴△APQ∽△ABC，∴，∴S＝（）2，∴（）2＝S，∴S＝，0≤t≤2，結合二次函數(shù)的圖象，可得其圖象為B．

12．C

解：連接OB，OC，作BE⊥OP于E，CF⊥OP于F．

∵OA//BC，∴S△OBC＝S△ABC＝10，∵，∴S△OPB＝，S△OPC＝，∵S△OBE＝，∴S△PBE＝，∵△BEP∽△CFP，∴S△CFP＝4×＝，∴S△OCF＝S△OCP

－S△CFP＝，∴k＝?8．

13．D

解：∵∠OBA＝90°，AC平分∠OAB，OD平分∠AOB，∴∠DOA+∠OAC=45°，∴∠OEA=135°，∴∠OEC=45°，過C作CF⊥OE于點F，過點E作EG⊥OB于點G，過點E作EH⊥OA于點H，在Rt△CEF中，∠OEC=45°，∴CF=EF，設CF=EF=x，則有，即有：，解得：x=1或-1(舍)，∴CF=EF=1，在Rt△OCF中，OC=，∴OF=，∵∠COF=∠EOG，∠OFC=∠OGE=90°，∴△OFC∽△OGE，∴，即，∴，∵OD平分∠AOB，∴GE=EH=，在Rt△OEH中，∴E()，∵E在上，∴，∴k=，14．A

作點F作FG⊥BC于G，∵∠DEB+∠FEG＝90°，∠DEB+∠BDE＝90°；

∴∠BDE＝∠FEG，在△DBE與△EGF中，∴△DBE≌△EGF（AAS），∴EG＝DB，F(xiàn)G＝BE＝x，∴EG＝DB＝2BE＝2x，∴GC＝y(tǒng)﹣3x，∵FG⊥BC，AB⊥BC，∴FG∥AB，∴△FGC∽△ABC，∴CG：BC＝FG：AB，即＝，∴y＝﹣．

15．B

解：，又，又，，設，則，由已知：，，，又，解得，檢驗是方程的解，，作，四邊形、、、是矩形，，，，，又，，，，16．B

解：，，，，平分，，，，在和中，，故①正確；，與顯然不全等，故②錯誤，在和△中，，，故④正確，，，，故③錯誤．

17．C

解：∵在等腰Rt△ABC中∠C=90°，AC=BC=2，∴AB=AC=4，∠A=∠B=45°，如圖，過B′作B′H⊥AB與H，∴△AHB′是等腰直角三角形，∴AH=B′H=AB′，∵AB′=，∴AH=B′H=1，∴BH=3，∴BB′=，∵將△BDE沿DE折疊，得到△B′DE，∴BF=，DE⊥BB′，∴∠BHB′=∠BFE=90°，∵∠EBF=∠B′BH，∴△BFE∽△BHB′，∴，∴，∴EF=，故答案為：

18．C

解：在正方形ABCD中，AD∥BC，AB=BC=DC，∠A=∠ABC=∠ADC=∠BCD=90°，∠ABD=∠ADB=∠BDC=45°

∵△BPC是等邊三角形

∴BP=PC=BC，∠PBC=∠PCB=∠BPC=60°，∴DC=PC，∠ABE=∠ABC-∠PBC=30°

∴BE=2AE，故①正確；

∵AD∥BC

∴∠PFD=∠BCF=60°

∴∠PFD=∠BPC

同①得：∠DCF=30°

∴∠CPD=∠CDP=75°

∴∠PDF=15°

又∵∠PBD=∠ABD-∠ABE=45°-30°=15°，∴∠PDF=∠PBD

∴△DFP∽△BPH，故②正確；

∵∠PDB=∠CDP-∠BCD=75°-45°=30°，∠PFD=60°

∠BPD=135°，∠DPF=105°

∴∠PDB≠∠PFD≠∠BPD≠∠DPF

∴△PFD與△PDB不相似，故③錯誤；

∵∠PDH=∠PCD=30°，∠DPH=∠DPC

∴△DPH∽△CDP

∴

∴PD2=PH·CD，故④正確．

19．解：∵DC為∠ACB的平分線

∴∠BCD=∠ECD

∵DE∥BC

∴∠EDC=∠BCD

∴∠EDC=∠ECD

∴EC=DE

∵AD=8，BD=10

∴AB=18

∵DE∥BC

∴△ADE∽△ABC

∴，∵AD=8，AB=18，BC=15

∴，∴

∴

20．3

解：∵四邊形是平行四邊形，∴，∴，∵的平分線交于E，∴，∴，∴AB=BE，∵，∴，∵，∴，∵，∴，∵，∴根據(jù)勾股定理可得，∴，∵，∴△ABE∽△FCE，∴，∴,∴AF=6；

21．解：∵S四邊形DEBC，∴S△ADE＝S△ABC，∵＝，∠DAE＝∠BAC，∴△DAE∽△BAC，∴，∴，22．或4

解：如圖，當時，將沿著直線DE翻折，，，當時，設，則，，∽，，，．

23．解：如圖，過點F作BC的垂線，分別交BC、AD于點M、N，則MN⊥AD，延長GF交AD于點Q，如圖所示．

∵四邊形ABCD是矩形，∴∠ABC=90°，AD∥BC，∵BE平分∠ABC，∴∠AEB=∠ABE=∠EBC=45°，∴△NFE、△MBF和△ABE都是等腰直角三角形，∵，∴BM=FM=3，∴

∴NF=NE=1，∵FD⊥FG，∴∠DFG=90°，∴∠DFN+∠MFG=90°，∵MN⊥AD，∴∠NDF+∠DFN=90°，∴∠NDF=∠MFG，在DNF和△FMG中，∴△DNF≌△FMG（AAS），∴DN=FM=3，NF=MG=1，由勾股定理得：

∵QN∥BC，∴△QFN∽△GFM，∴，即，∴，設GH=x，則，∵QD∥BG，∴△QHD∽△GHB

∴

∴，解得，即．

24．．

解：在矩形OAA1B中，∵OA=3，AA1=2，∴∠A=90°，∴，∵，∴，∵∠OA1A2=∠A=90°，∴△OA1A2∽△OAA1，∴∠A1OA2=∠AOA1，∵A1B//OA，∴∠CA1O=∠AOA1，∴∠COA1=∠CA1O，∴OC=CA1，∵∠A2OA1+∠OA2A1=90°，∠OA1C+∠A2A1C=90°，∴∠CA2A1=∠CA1A2，∴CA1=CA2=OC，同法可證OC1=A3C1，∴CC1∥A2A3，CC1=A2A3，∴S△CC1A3=S△CC1A2，∵，∴，∴，∴，∴，同法可證，由題意，∵△C2A3C1∽△C1A2C，∴相似比為：，∴，…，由此規(guī)律可得，△C2019C2020A2022的面積為．

25．見解析

證明：∵，∴，∴，∴，∴．

26．（1）見解析；（2）見解析

（1）∵，∴，∵，平分，∴，∵，∴，在△ABE和△ECF中，∴；

（2）連接BD，∵，∴，∴，∴，∵，∴，∴，∵，∵，∴，∴，∵，∴，∴，∵，∴，∴，∵，∴；

27．（1）4；（2）①見解析；②；③

（1）根據(jù)題意可知為等腰直角三角形．

∵，∴．

∵點M恰好在∠BCD的角平分線上，∴．

∴，．

∴，∴．

（2）①∵，．

∴．

又∵，∴．

②∵，∴，即．

∴．

③∵，∴，又∵，∴，∴．

∵，∴，又∵，∴，∴．

∴．

∴．

在中，∴．

∴．

28．（1）證明見解析；（2）證明見解析；（3）證明見解析．

（1）證明：∵四邊形ABCD是正方形，∴∠DCB＝90°，∵F為DE的中點，∴CF＝DE，DF＝DE，∴CF＝DF；

（2）證明：∵四邊形ABCD是正方形，∴∠ADB＝∠ACD＝45°，AD＝OA，∵DE平分∠CDB，∴∠BDE＝∠CDE，∵∠ADF＝∠ADB+∠BDE，∠AFD＝∠ACD+∠CDE，∴∠ADF＝∠AFD，∴AF＝AD，∴AF＝OA；

（3）證明：設BC＝4x，CG＝y(tǒng)，∵E為BC的中點，則CE＝2x，F(xiàn)G＝y(tǒng)，∵FG⊥BC

∵FG∥CD，∴△EGF∽△ECD，∴，即，整理得，y＝x，即CG＝x，則EG＝2x﹣y＝x，∴BG＝2x+x＝x，∴CG＝BG．

29．（1）見解析；（2）①；②

（1）證明：如圖，過點作于，則∠AHG＝∠FHG＝90°，∵在正方形中，∴∠HAD＝∠D＝∠B＝90°，AD＝AB，∴四邊形AHGD為矩形，∴AD＝HG，∴AB＝HG，∵，∴∠FQA＝90°，∴∠AFQ＋∠BAE＝90°，∵∠FHG＝90°，∴∠AFQ＋∠FGH＝90°，∴∠BAE＝∠FGH，∴在與中

∴（ASA），∴；

①∵點為的中點，∴，∵折疊，∴設，∴，在RtBFE中，BF2＋BE2＝EF2，∴，解得：，又∵，∴，如圖，過點作于，則∠AHG＝∠FHG＝90°，∵在矩形中，∴∠HAD＝∠BCD＝∠B＝90°，∴四邊形AHGD為矩形，∴BC＝HG，∵∠FHG＝90°，∴∠AFQ＋∠FGH＝90°，∵，∴∠FQA＝90°，∴∠AFQ＋∠BAE＝90°，∴∠BAE＝∠FGH，又∵∠FHG＝∠D＝90°，∴，，，又∵，∴，∴；

②如圖，過點P作于點，∵，∴由①得，∵∠EPG＝∠GCE＝90°，∠EOC＝∠GOP，∴∠CGP＝∠OEC，∵∠FEP＝∠B＝90°，∴∠OEC＋∠BEF＝90°，∠BFE＋∠BEF＝90°，∴∠BFE＝∠OEC，∴∠BFE＝∠CGP，又∵，∴，∴設，則，，解得：，，，，，，，．

30．（1）①；②見解析；（2）

解：（1）①∵，∴，又∵，∴，∴，∴．

設，則，解得（負值已舍去），即的長為；

②證明：∵，∴，∴，∴，∴，∴；

（2）如圖，連接，由（1）得，∴，∵分別是的中點，∴，又∵，∴，∴，∵,∴,∴，∴是等邊三角形，∴，∵D是AC的中點，設，則，∴,∴，∴,∴，∴