北京市各區(qū)2009年高三上學(xué)期期末試題分類精編

電   場(chǎng)

試題詳情

南海中學(xué)2008屆高三立刻數(shù)學(xué)綜合訓(xùn)練（八）

荊州中學(xué)、宜昌一中2008屆高三年級(jí)十月聯(lián)考數(shù)學(xué)試卷

一。選擇題（本大題共10小題，每小題5分，共50分.在每小題給出的四個(gè)選項(xiàng)中，只有一項(xiàng)是符合題目要求的）

1．在由正數(shù)組成的等比數(shù)列中，，則     （  ）

A．6           B．8          C．10          D．12

2．如果復(fù)數(shù)的實(shí)部與虛部互為相反數(shù)，則的值等于           （  ）

A．0           B．1          C．2           D．3

3．已知函數(shù)在點(diǎn)處連續(xù)，則     （  ）

A．11         B．          C．3         D．

4．已知函數(shù)滿足，且時(shí)，，則

與的圖像的交點(diǎn)的個(gè)數(shù)為                             （  ）

A．1          B．2           C．3         D．4

5．“”是“函數(shù)在區(qū)間上為增函數(shù)”的        （  ）

A．充分不必要條件           B．必要不充分條件

C．充要條件                 D．既不充分也不必要條件

6．函數(shù)的圖像是中心對(duì)稱圖形，其對(duì)稱中心的坐標(biāo)是     （  ）

A．       B．        C．        D．

7．已知等比數(shù)列中，，公比為，且該數(shù)列各項(xiàng)的和為，表示該數(shù)列的前項(xiàng)和，且，則實(shí)數(shù)的取值范圍是                     （  ）

A．      B．      C．       D．

8．已知函數(shù)在R上可導(dǎo)且滿足，則（  ）

A．      B．        C．      D．

9．設(shè)函數(shù)的定義域?yàn)?sub>,若函數(shù)滿足: (1)在內(nèi)單調(diào)遞增,(2)方程在內(nèi)有兩個(gè)不等的實(shí)根,則稱為遞增閉函數(shù).若是遞增閉函數(shù),則實(shí)數(shù)的取值范圍是(    )

A．      B．      C．      D

10．已知集合，若集合，則實(shí)數(shù)的取值范圍是

A．      B．       C．     D．

試題詳情

北京市各區(qū)2009年高三上學(xué)期期末試題分類精編

磁   場(chǎng)

試題詳情

2009屆高考倒計(jì)時(shí)數(shù)學(xué)沖刺階段每日綜合模擬一練（06）

試題詳情

北京市各區(qū)2009年高三上學(xué)期期末試題分類精編

天體、原子和光

試題詳情

2009年高考數(shù)學(xué)總復(fù)習(xí)解題思維專題講座之四

   數(shù)學(xué)思維的開拓性

一、概述

數(shù)學(xué)思維開拓性指的是對(duì)一個(gè)問題能從多方面考慮；對(duì)一個(gè)對(duì)象能從多種角度觀察；對(duì)一個(gè)題目能想出多種不同的解法，即一題多解。

“數(shù)學(xué)是一個(gè)有機(jī)的整體，它的各個(gè)部分之間存在概念的親緣關(guān)系。我們?cè)趯W(xué)習(xí)每一分支時(shí)，注意了橫向聯(lián)系，把親緣關(guān)系結(jié)成一張網(wǎng)，就可覆蓋全部?jī)?nèi)容，使之融會(huì)貫通”，這里所說的橫向聯(lián)系，主要是靠一題多解來完成的。通過用不同的方法解決同一道數(shù)學(xué)題，既可以開拓解題思路，鞏固所學(xué)知識(shí)；又可激發(fā)學(xué)習(xí)數(shù)學(xué)的興趣和積極性，達(dá)到開發(fā)潛能，發(fā)展智力，提高能力的目的。從而培養(yǎng)創(chuàng)新精神和創(chuàng)造能力。

在一題多解的訓(xùn)練中，我們要密切注意每種解法的特點(diǎn)，善于發(fā)現(xiàn)解題規(guī)律，從中發(fā)現(xiàn)最有意義的簡(jiǎn)捷解法。

數(shù)學(xué)思維的開拓性主要體現(xiàn)在：

(1)    一題的多種解法

例如  已知復(fù)數(shù)滿足，求的最大值。

我們可以考慮用下面幾種方法來解決：

①運(yùn)用復(fù)數(shù)的代數(shù)形式；

②運(yùn)用復(fù)數(shù)的三角形式；

③運(yùn)用復(fù)數(shù)的幾何意義；

④運(yùn)用復(fù)數(shù)模的性質(zhì)（三角不等式）；

⑤運(yùn)用復(fù)數(shù)的模與共軛復(fù)數(shù)的關(guān)系；

⑥（數(shù)形結(jié)合）運(yùn)用復(fù)數(shù)方程表示的幾何圖形，轉(zhuǎn)化為兩圓與有公共點(diǎn)時(shí)，的最大值。

(2)    一題的多種解釋

例如，函數(shù)式可以有以下幾種解釋：

①可以看成自由落體公式

②可以看成動(dòng)能公式

③可以看成熱量公式

又如“1”這個(gè)數(shù)字，它可以根據(jù)具體情況變成各種形式，使解題變得簡(jiǎn)捷。“1”可以變換為：，等等。

1．   思維訓(xùn)練實(shí)例

例1  已知求證：

分析1  用比較法。本題只要證為了同時(shí)利用兩個(gè)已知條件，只需要觀察到兩式相加等于2便不難解決。

證法1 

所以   

分析2  運(yùn)用分析法，從所需證明的不等式出發(fā)，運(yùn)用已知的條件、定理和性質(zhì)等，得出正確的結(jié)論。從而證明原結(jié)論正確。分析法其本質(zhì)就是尋找命題成立的充分條件。因此，證明過程必須步步可逆，并注意書寫規(guī)范。

證法2  要證     

       只需證   

即       

因?yàn)?nbsp;     

所以只需證  

即          

因?yàn)樽詈蟮牟坏仁匠闪�，且步步可逆。所以原不等式成立�?/p>

分析3  運(yùn)用綜合法（綜合運(yùn)用不等式的有關(guān)性質(zhì)以及重要公式、定理（主要是平均值不等式）進(jìn)行推理、運(yùn)算，從而達(dá)到證明需求證的不等式成立的方法）

證法3 

即   

分析4  三角換元法：由于已知條件為兩數(shù)平方和等于1的形式，符合三角函數(shù)同角關(guān)系中的平方關(guān)系條件，具有進(jìn)行三角代換的可能，從而可以把原不等式中的代數(shù)運(yùn)算關(guān)系轉(zhuǎn)化為三角函數(shù)運(yùn)算關(guān)系，給證明帶來方便。

證法4  可設(shè)

分析5  數(shù)形結(jié)合法：由于條件可看作是以原點(diǎn)為圓心，半徑為1的單位圓，而聯(lián)系到點(diǎn)到直線距離公式，可得下面證法。

證法5  （如圖4-2-1）因?yàn)橹本�經(jīng)過

圓的圓心O，所以圓上任意一點(diǎn)

到直線的距離都小于或等于圓半徑1，

即     

簡(jiǎn)評(píng)  五種證法都是具有代表性的基本方法，也都是應(yīng)該掌握的重要方法。除了證法4、證法5的方法有適應(yīng)條件的限制這種局限外，前三種證法都是好方法�？稍诰唧w應(yīng)用過程中，根據(jù)題目的變化的需要適當(dāng)進(jìn)行選擇。

例2  如果求證：成等差數(shù)列。

分析1  要證，必須有成立才行。此條件應(yīng)從已知條件中得出。故此得到直接的想法是展開已知條件去尋找轉(zhuǎn)換。

證法1 

故    ，即    成等差數(shù)列。

分析2  由于已知條件具有輪換對(duì)稱特點(diǎn)，此特點(diǎn)的充分利用就是以換元去減少原式中的字母，從而給轉(zhuǎn)換運(yùn)算帶來便利。

證法2  設(shè)則

于是，已知條件可化為：

所以成等差數(shù)列。

分析3  已知條件呈現(xiàn)二次方程判別式的結(jié)構(gòu)特點(diǎn)引人注目，提供了構(gòu)造一個(gè)適合上述條件的二次方程的求解的試探的機(jī)會(huì)。

證法3  當(dāng)時(shí)，由已知條件知即成等差數(shù)列。

當(dāng)時(shí)，關(guān)于的一元二次方程：

其判別式故方程有等根，顯然＝1為方程的一個(gè)根，從而方程的兩根均為1，

由韋達(dá)定理知     即  成等差數(shù)列。

簡(jiǎn)評(píng)：證法1是常用方法，略嫌呆板，但穩(wěn)妥可靠。證法2簡(jiǎn)單明了，是最好的解法，其換元的技巧有較大的參考價(jià)值。證法3引入輔助方程的方法，技巧性強(qiáng)，給人以新鮮的感受和啟發(fā)。

例3      已知，求的最小值。

分析1  雖然所求函數(shù)的結(jié)構(gòu)式具有兩個(gè)字母，但已知條件恰有的關(guān)系式，可用代入法消掉一個(gè)字母，從而轉(zhuǎn)換為普通的二次函數(shù)求最值問題。

解法1 

設(shè)，則

二次項(xiàng)系數(shù)為故有最小值。

當(dāng)時(shí)，

    的最小值為

分析2  已知的一次式兩邊平方后與所求的二次式有密切關(guān)聯(lián)，于是所求的最小值可由等式轉(zhuǎn)換成不等式而求得。

解法2  即

即  當(dāng)且僅當(dāng)時(shí)取等號(hào)。  的最小值為

分析3  配方法是解決求最值問題的一種常用手段，利用已知條件結(jié)合所求式子，配方后得兩個(gè)實(shí)數(shù)平方和的形式，從而達(dá)到求最值的目的。

解法3  設(shè)

  當(dāng)時(shí)，即的最小值為

分析4  因?yàn)橐阎獥l件和所求函數(shù)式都具有解析幾何常見方程的特點(diǎn)，故可得到用解析法求解的啟發(fā)。

解法4  如圖4－2－2，表示直線

表示原點(diǎn)到直線上的點(diǎn)的距離的平方。

顯然其中以原點(diǎn)到直線的距離最短。

此時(shí)，即

所以的最小值為

注  如果設(shè)則問題還可轉(zhuǎn)化為直線與圓有交點(diǎn)時(shí)，半徑的最小值。

簡(jiǎn)評(píng)  幾種解法都有特點(diǎn)和代表性。解法1是基本方法，解法2、3、4都緊緊地抓住題設(shè)條件的特點(diǎn)，與相關(guān)知識(shí)聯(lián)系起來，所以具有靈巧簡(jiǎn)捷的優(yōu)點(diǎn)，特別是解法4，形象直觀，值得效仿。

例4      設(shè)求證：

分析1  由已知條件為實(shí)數(shù)這一特點(diǎn)，可提供設(shè)實(shí)系數(shù)二次方程的可能，在該二次方程有兩個(gè)虛根的條件下，它們是一對(duì)共軛虛根，運(yùn)用韋達(dá)定理可以探求證題途徑。

證法1  設(shè)當(dāng)時(shí)，可得與條件不合。

于是有 

該方程有一對(duì)共軛虛根，設(shè)為，于是

又由韋達(dá)定理知

分析2  由于實(shí)數(shù)的共軛復(fù)數(shù)仍然是這個(gè)實(shí)數(shù)，利用這一關(guān)系可以建立復(fù)數(shù)方程，注意到這一重要性質(zhì)，即可求出的值。

證法2  設(shè)當(dāng)時(shí)，可得與條件不合，

則有  ，

即 

但 

而  即

分析3  因?yàn)閷?shí)數(shù)的倒數(shù)仍為實(shí)數(shù)，若對(duì)原式取倒數(shù)，可變換化簡(jiǎn)為易于進(jìn)行運(yùn)算的形式。再運(yùn)用共軛復(fù)數(shù)的性質(zhì)，建立復(fù)數(shù)方程，具有更加簡(jiǎn)捷的特點(diǎn)。

證法3  即

從而必有

簡(jiǎn)評(píng)  設(shè)出復(fù)數(shù)的代數(shù)形式或三角形式，代入已知條件化簡(jiǎn)求證，一般也能夠證明，它是解決復(fù)數(shù)問題的基本方法。但這些方法通常運(yùn)算量大，較繁�，F(xiàn)在的三種證法都應(yīng)用復(fù)數(shù)的性質(zhì)去證，技巧性較強(qiáng)，思路都建立在方程的觀點(diǎn)上，這是需要體會(huì)的關(guān)鍵之處。證法3利用倒數(shù)的變換，十分巧妙是最好的方法。

例5  由圓外一點(diǎn)引圓的割線交圓于兩點(diǎn)，求弦的中點(diǎn)的軌跡方程。

分析1  （直接法）根據(jù)題設(shè)條件列出幾何等式，運(yùn)用解析幾何基本公式轉(zhuǎn)化為代數(shù)等式，從而求出曲線方程。這里考慮在圓中有關(guān)弦中點(diǎn)的一些性質(zhì)，圓心和弦中點(diǎn)的連線垂直于弦，可得下面解法。

解法1  如圖4－2－3，設(shè)弦的中點(diǎn)的坐標(biāo)為，連接，

則，在中，由兩點(diǎn)間的距離公式和勾股定理有

整理，得  其中

分析2  （定義法）根據(jù)題設(shè)條件，判斷并確定軌跡的

曲線類型，運(yùn)用待定系數(shù)法求出曲線方程。

解法2  因?yàn)?sub>是的中點(diǎn)，所以，

所以點(diǎn)的軌跡是以為直徑的圓，圓心為,半徑為該圓的方程為：

化簡(jiǎn)，得  其中

分析3  （交軌法）將問題轉(zhuǎn)化為求兩直線的交點(diǎn)軌跡問題。因?yàn)閯?dòng)點(diǎn)可看作直線與割線的交點(diǎn)，而由于它們的垂直關(guān)系，從而獲得解法。

解法3  設(shè)過點(diǎn)的割線的斜率為則過點(diǎn)的割線方程為：.

且過原點(diǎn)，的方程為 這兩條直線的交點(diǎn)就是點(diǎn)的軌跡。兩方程相乘消去化簡(jiǎn)，得：其中

分析4  （參數(shù)法）將動(dòng)點(diǎn)坐標(biāo)表示成某一中間變量（參數(shù)）的函數(shù)，再設(shè)法消去參數(shù)。由于動(dòng)點(diǎn)隨直線的斜率變化而發(fā)生變化，所以動(dòng)點(diǎn)的坐標(biāo)是直線斜率的函數(shù)，從而可得如下解法。

解法4  設(shè)過點(diǎn)的割線方程為：

它與圓的兩個(gè)交點(diǎn)為，的中點(diǎn)為.

解方程組 

利用韋達(dá)定理和中點(diǎn)坐標(biāo)公式，可求得點(diǎn)的軌跡方程為：

其中

分析5  （代點(diǎn)法）根據(jù)曲線和方程的對(duì)應(yīng)關(guān)系：點(diǎn)在曲線上則點(diǎn)的坐標(biāo)滿足方程。設(shè)而不求，代點(diǎn)運(yùn)算。從整體的角度看待問題。這里由于中點(diǎn)的坐標(biāo)與兩交點(diǎn)通過中點(diǎn)公式聯(lián)系起來，又點(diǎn)構(gòu)成4點(diǎn)共線的和諧關(guān)系，根據(jù)它們的斜率相等，可求得軌跡方程。

解法5  設(shè)則

兩式相減，整理，得 

所以 

即為的斜率，而對(duì)斜率又可表示為

化簡(jiǎn)并整理，得  其中

簡(jiǎn)評(píng)  上述五種解法都是求軌跡問題的基本方法。其中解法1、2、3局限于曲線是圓的條件，而解法4、5適用于一般的過定點(diǎn)且與二次曲線交于兩點(diǎn)，求中點(diǎn)的軌跡問題。具有普遍意義，值得重視。對(duì)于解法5通常利用可較簡(jiǎn)捷地求出軌跡方程，比解法4計(jì)算量要小，要簡(jiǎn)捷得多。

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試題詳情

吉林省長(zhǎng)春市第二實(shí)驗(yàn)中學(xué)2009屆高三第四次月考

文 綜 試 卷

第Ⅰ卷(選擇題，共計(jì)140分)

試題詳情

試題詳情

吉林省長(zhǎng)春市第二實(shí)驗(yàn)中學(xué)2009屆高三第四次月考

            英語

第Ⅰ卷(選擇題，共計(jì)95分)

第一部分  英語知識(shí)運(yùn)用（共三節(jié)，滿分50分）

第一節(jié)       語音知識(shí)（共5小題，每小題1分，滿分5分）

從四個(gè)選項(xiàng)中，找出其劃線部分與所給單詞的劃線部分讀音相同的選項(xiàng)

1. wealth

A. healthy

B. breathe

C. though

D. weather

2.stamps

A. songs

B. prepares

C. sticks

D. problems

3.natural

A. nature

B. grass

C. national

D. labour

4. appear

A. heart

B. fear

C. heard

D. earn

5. mine

A. delight

B. sickness

C. insist

D. officer

第二節(jié)  單項(xiàng)填空（共15小題，每小題1分，滿分15分）

6. --- How about my fish?

  --- _____. Cooking is really your field.

   A. It couldn’t be better       B. It couldn’t be worse

C. No better than before      D. I couldn’t agree more

7. ―Sorry to interrupt you. Please go on.

  ―Where was I ? 

  ―You ______ you didn’t like going to college in Hongkong. 

  A. had been saying   B. had said    C. said    D. were saying 

8. Finally she got too tired and fell asleep at the desk, her right hand

still ____ a pen.

  A. held       B. to hold     C. holding     D. was holding

9. The young woman is now experiencing a world that is totally new

 to her ____ there is true love, happiness and care.

  A. when      B. where      C. which      D. that 

10. ‘ Time ____ will never be found again!’ I couldn’t help talking to myself.

  A. lost        B. losing      C. to lose     D. have lost

11. Yesterday I missed my feet on the stairs and had a bad fall. Luckily it was nothing serious, ______.

  A. however    B. therefore    C. also       D. though

12.―Did you watch________men’s table tennis double final match?

―Yes. It was _______closely-fought game.

A. the; a      B./;a          C. the; /      D. a; the

13.Is it the letter that you received yesterday________makes you sad?

A. which     B. what        C. that       D. when

14. ―May I move your bag a little and take this seat?

  ―_________.  

A. Do it please.              B. I don’t mind  

C. It doesn’t matter           D. Go ahead

15. ―What do you think of the meal we have just had?

  ―It is well worth_________is charged for it.

  A. that       B. what        C. which        D. how many

16. When I told the manager I didn’t receive the goods on time, he promised to _____it at once.

A. look into                 B. look through 

C. look after                 D.look over

17.________only 20 minutes left, I felt uneasy in the taxi to the railway station.

A. For        B. As          C.Because        D. With

18. Scientists think that the continents ____ always where they _____ today.

  A. aren’t; are                 B. aren’t; were  

C. weren’t; are                D. weren’t; were  

19. Diana sold most of her things. She has hardly ____ left in her house.

  A. anything     B. everything    C. nothing       D. something

20. ____ the days when we lived a hard life.

    A. Away            B. Going are   C. Gone are      D. There were

第二節(jié)：完形填空(共20小題；每小題1.5分，滿分30分)

閱讀下面短文，掌握其大意，然后從21--40各題的四個(gè)選項(xiàng)A、B、C 和 D中，選出可以填入空白處的最佳選項(xiàng)。

Happiness is what everyone looks for.  _21   someone says that he is happy. However,  22  makes him happy may not work for others. And even  __23 ,someone may spend all his life looking for happiness, but in vain.

In the past, I tried my best to make myself happy. I thought if I could   24

get and do what I wanted to , I would be happy. Certainly, it was __25  , but I was disappointed. Though I could be happy at  26  , I couldn’t keep my happiness for a long time. Why?

One day, when I told a friend of mine what I   27   about happiness, he smiled and said only a few words, “Happiness is not a  __28   thing but a by ?product ( 副產(chǎn)品 ).”

I was surprised, but he was really  29   .

Someone thinks money can   30   everything, but when he becomes a

millionaire after his hard work, perhaps he will find that he has new 31  .  And he has to go to church for  32  . Sometimes love can bring happiness, but at other times it _33_ misunderstanding, tiredness, and even quarrelling .

Happiness is only a by―product of all _34  of things you love to do. You can not  35  it in a straight way. That is, it is not a thing _36_ in the material form but in your senses.

You should tell yourself, “ I do not  __ 37 __ whether I am happy or not. But I must love  38  .” And one day you will _39   find happiness itself has quietly __40_  . 

21. A. Maybe

B. Once

C. Then      

D. And

22. A. who

B. what

C. it      

D. this

23. A. more     

B. now

C. worse

D. so

24. A. often

B. really

C. hardly

D. frequently

25. A. important

B. necessary    

C. unnecessary

D. possible

26. A. present

B. all

C. times

D. last

27. A. did

B. thought

C. learned

D. discovered

28. A. single

B. simple

C. common

D. strange

29. A. lying

B stupid

C. right

D. foolish

30. A. get

B. make

C. produce

D. bring

31. A. wish

B. demands

C. worries

D. business

32. A. helping

B. God

C. comfort

D. rest

33. A. suggests

B. happens

C. seems

D. causes

34. A. fields      

B. types

C. kinds

D. forms

35. A. have

B. grasp

C. search

D. discover

36. A. floating

B. existing

C. coming

D. surrounded

37. A. mind      

B. know     

C. ask

D. wonder

38. A. life

B. family

C. happiness      

D. health

39. A. hardly

B suddenly

C. never    

D. often

40. A. disappeared

B. missed

C. lost

D. arrived

第二部分   第一節(jié)  閱讀理解

            （共20小題，每小題2分，共40分）

閱讀下列短文，從每題所給的四個(gè)選項(xiàng)中，選出最佳選項(xiàng)

                            A

It may help you to know that there is no such thing as a perfect speech. At some point in every speech, every speaker says something that is not understood exactly as he has planned. Fortunately, such moments are usually not obvious to the listeners. Why? Because the listeners do not know what the speaker plans to say. They hear only what the speaker does say. If you lose your place for a moment, wrongly change the order of a couple of sentences, or forget to pause at a certain point, no one will be any the wiser. When such moments occur, don't worry about them. Just continue as if nothing happened.

   Even if you do make an obvious mistake during a speech, that doesn't really matter. If you have ever listened to Martin Luther King's famous speech---"I have a Dream", you may notice that he stumbles(結(jié)巴) over his words twice during the speech. Most likely, however, you don't remember. Why? Because you were fixing your attention on his message rather than on his way of speech-making.

   People care a lot about making a mistake in a speech because they regard speech-making as a kind of performance rather than as an act of communication. They feel the listeners are like judges in an ice-skating competition. But, in fact, the listeners are not looking for a perfect performer. They are looking for a well-thought-out speech that expresses the speaker's ideas clearly and directly. Sometimes a mistake or two can actually increase a speaker's attractiveness by making him more human.

    As you work on your speech, don't worry about being perfect. Once you free you mind of this, you will find it much easier to give your speech freely.

41. The underlined part in the first paragraph means that no one will ______.

A. be smarter than you            B. notice your mistakes

C. do better than you             D. know what you are talking about

42. You don't remember obvious mistakes in a speech because ______.

A. you fix your attention on the content

B. you don't fully understand the speech

C. you don't know what the speaker plans to say

D. you find the way of speech-making more important

43. It can be inferred from the passage that ______.

A. giving a speech is like giving a performance

B. one or two mistakes in a speech may not be bad

C. the listeners should pay more attention to how a speech is made

D. the more mistakes a speaker makes, the more attractive he will be.

44. What would be the best title for the passage?

A. How to Be a Perfect Speaker

B. How to Make a Perfect Speech

C. Don't Expect a Perfect Speech

D. Don't Expect Mistakes in a Speech 

                                                                   B

The twentieth century saw greater changes than any century before: changes for the better, changes for the worse; changes that brought a lot of benefits to human beings, changes that put man in danger. Many things caused the changes, but, in my opinion, the most important was the progress in science.

     Scientific research in physics and biology has vastly broadened our views. It has given us a deeper knowledge of the structure of matter and of the universe; it has brought us a better understanding of the nature of life and of its continuous development. Technology--the application of science--has made big advances that have benefited us in nearly every part of life.

     The continuation of such activities in the twenty-first century will result in even greater advantages to human beings: in pure science -- a wider and deeper knowledge in all fields of learning; in applied science -- a more reasonable sharing of material benefits, and better protection of the environment.

      Sadly, however, there is another side to the picture. The creativity of science has been employed in doing damage to mankind.The application of science and technology to the development and production of weapons of mass destruction has created a real danger to the continued existence of the human race on this planet. We have seen this happen in the case of nuclear weapons.  Although their actual use has so far occurred only in the Second World War, the number of nuclear weapons that were produced and made ready for use was so large that if the weapons had actually been used, the result could have been the ruin of the human race, as well as of many kinds of animals.

   William Shakespeare said, "The web of our life is of a mingled yarn (紗線), good and ill together. '’The above brief review of the application of only one part of human activities ? science seems to prove what Shakespeare said. But does it have to be so? Must the ill always go together with the good? Are we biologically programmed for war?

45. Which of the following best shows the structure of the passage?

A.                B.                 C.                   D.

46.From the fourth paragraph, we can infer that________.

A. a great many nuclear weapons were actually used for war

B. a large number of nuclear weapons should have been used for war

C. the author is doubtful about the ruin of human beings by nuclear weapons

D. the author is anxious about the huge number of nuclear weapons on the earth

47.The underlined word "mingled" in the last paragraph most probably means________.

A. simple         B. mixed         C. sad           D. happy

48.What do you think the author is most likely to suggest if he continues to write?

A. Further application of science to war.

B. More reading of William Shakespeare.

C. Proper use of science in the new century.

D. Effective ways to separate the good from the ill.

                          C

American doctors say that mothers who smoke cigarettes before their babies are born may slow the growth of their babies' lungs. They say reduced lung growth could cause the babies to suffer breathing problems and lung disease later in life. Doctors in Boston, Massachusetts studied 1 100 children. The mothers of some of the children smoked, the other mothers did not. Doctors found that the lungs of the children whose mothers smoked were 8% less developed than the lungs of the children whose mothers did not smoke, and that the children whose mother smoked developed 20% more cold and breathing diseases than other children later in life.?

Another recent study found that children had a greater chance of developing lung cancer if their mothers smoked. The study also showed that the danger of lung cancer increased only for sons and not for daughters, and that the father's smoking did not affect a child's chance of developing lung cancer.?

49. That mother smokes before her child is born may        .?

A. slow the growth of her baby's lung?

B. cause her baby to suffer breathing problems and lung disease later in life

C. make her child develop lung cancer?

D. All of above are right?

50. Doctors in Boston studied 1 100 children to        .?

A. examine whether these children were healthy?

B. find out whether their mothers had smoked?

C. find why these children suffered breathing problems and lung disease?

D. look into the effect that mother's smoking had on their children?

51. Suppose John's father was a heavy smoker, so was Mary's mother. According this passage,       .?

A. John is more likely to develop lung cancer?

B. Mary is more likely to develop lung cancer?

C. John and Mary have the same chance to develop cancer?

D. neither John nor Mary has the chance to develop cancer?

52. This passage is to        ?

A. warn us of the danger of smoking before children?

B. warn people with breathing problems not to smoke?

C. warn us that mothers who smoke may affect their children's health?

D. warn us that fathers who smoke may affect their children as mothers

D

A sixth of undergraduates in Beijing this year have registered at driving school. The students, mostly from majors such as business management or international trade, will finish their driving courses within 20 days or so.

　　Training costs have dropped to 2, 600 yuan for students, according to the Haidian Driving School in Beijing. The price is not really low, but students will accept it, seeing it as an investment （投資）in their future. Familiarity with the operation of computers and fluent English are the basic skills graduating students need to find a job. But a driver's permit has become another factor （因素）.

　　“In the job market, owning a driver's permit sometimes strengthens a graduating student's competitiveness for a good position, ”says Zhou Yang, an undergraduate at the China University of Political Science and Law.

　　Cars will become a necessary part of many people's lives in the coming years, and it is difficult to get a permit of campus because of the pressures on working people's time.“Having a fulltime job after graduation offers limited time to learn to drive. We senior students have plenty of spare time, plenty of opportunity to learn.”Zhou says.

　　Xu Jian, an official at the driving school, said undergraduates were very able and serious, and could grasp in an hour what ordinary people took four hours to learn. In this driving school, middle -aged people, young women and college students are the main customers.

　　To get a driver's permit, a beginner is now required to have at least 86 hours'practice before the final road test.

53．________ in Beijing want to learn to drive.

　　A. Most of the undergraduates

　　B. Many undergraduates

　　C. Many students in the driving school

　　D. Most of the students who learn business or international trade

54．The undergraduates are learning to drive because ________.

　　A. they need this skill to find a good job

　　B. they like to drive cars

　　C. they will have no time to learn to drive after they find a full - time job

　　D. most of them will be able to buy cars in the future

55．Which is likely to be Xu Jian's opinion of students learning to drive?

　　A. He thought it was better to learn it at college than at work.

　　B. He decided it was a waste of money and time to learn to drive.

　　C. He agreed that they could learn to drive.

D. He thought they would spend three times more time to learn to

drive than usual.

56．Which of the following can be the best headline for the passage?

　　A. Students Pay Less to Learn to Drive Now.

　　B. Students Learn to Drive.

　　C. It is Better to Learn to Drive at Colleges.

　　D. Welcome to the Driving School.

E 

Harbour Cruises LTD.

Dining, Sightseeing and Special Events

Get on board to experience Vancouver from a different perspective (視角). Join Harbour Cruises Ltd. For Vancouver's only guided tour of the inner harbour, the always popular dinner cruise, or a luncheon cruise through a quiet coastal mountain bay. Special event cruises are available throughout the year including during the yearly fireworks competition and December's Christmas Carol Ships. Harbour Cruises Ltd. is located next to world-famous Stanley Park.

Dates of Operation: April - October and December

Seasonal Hours: 8 : 00 am - 7 : 00 pm, 7 days a week

Directions: Drive west on Georgia and turn right at the lights at Denman Street. Take the # 135 Stanley Park bus or walk west along Georgia for 15 minutes towards Stanley Park from downtown.

Information: 604.688.7246

Reservations: 1. 800. 663. 1500

Website: www. boatcruises. corn

Email: tours@boatcruises . corn

# 1, North Foot of Den-man Street, Vancouver, BC V6G 2w9

The Lookout at Harbour Centre Tower 

Not sure where to start? The Lookout，which is high atop Harbor Center Tower，is your best first choice in Vancouver．Majestic cruise ships，mountains sprinkled with fresh snow and a west coast sunset are but a few highlights of this grand 3600 view．Drink your cappuccino，join a free guided tour，learn something new about Vancouver and enjoy the view！

Dates of Operation：Open 365 days/year

Seasonal Hours：Winter 9：00 am - 9：00 pm

Summer 8：30 am - 10：30 pm

Directions：Located downtown at the SeaBus and SkyTrain station．

Just steps away from the Cruise Ship Terminal and historic Gastown．

Information and Reservations：604.689.0421

Website: www. vancouverlookout.com

Email: info@vancouverlookout.com

555 West Hastings Street, Vancouver, BC V6B 4N4

Burnaby Village Museum And Carousel

Step back in time to 1925. The museum features a village, a farmhouse and the historic CW Parker Carousel. Costumed townspeople welcome you to exhibits that include a schoolhouse, a blacksmith, a Chinese medicine store and an ice - cream parlour.

Seasonal Hours: May 4 - Sept 2 (11: 00 am - 4:30 pm )

Christmas Hours: Nov 23 - Dec 13 & Dec31 - Jan 4(12:00 - 5:30 pm) and Dec 14 - 30 (12:00 - 8:00 pm) Closed Dec 24& 25

Directions: Take exit 33 from Hwy 1 to Canada Way. Follow the signs along the sidewalk to Deer Lake Park. 20 minutes from downtown Vancouver.

Information: 604. 293. 6501

Telephone: 604. 293. 6500

Website: www. city. burnaby.cb.ca.

6501 Deer Lake Avenue, Burnaby, BC V5G 3T6

57. To get a bird's-eye view of Vancouver, you can go to ___________.

A. Harbour Cruises LTD　　　　　　　　　     B. Harbour Centre Tower

C. Burnaby Village Museum　　　　　　　        D. Stanley Park

58. If you want to visit one of the places from 8:30 am to 10:30 am on Christmas Day, you can get further information on ___________.

A. Website: www.vancouverlookout.com　　  

B. Email: info@vancouverlookout.com

C. Website: www.city.burnaby.cb.ca　　　       

D. Website: www.boatcruises.com

59. Which of the following statements is true?

A. A guide is necessary for people to visit Harbour Center Tower.

B. There is fresh snow at Harbor Center Tower for people to enjoy.

C. Harbour Cruises LTD is closer to downtown than Burnaby Village Museum.

D. The ice-cream parlour provides you local delicious food at lunch time on Christmas Day.

60. The main purpose of the advertisements is to attract tourists to Vancouver

A. for the view of mountains　　　　　　B. for a ship sightseeing

C. for a cultural visit　　　　　　　　       D. for great fun

注意： 61--65小題的涂卡方法是：A, B, C, D正常涂，E涂為AB，F(xiàn)涂為AC，G涂為AD

第二節(jié)：補(bǔ)全對(duì)話 （共5小題； 每小題1分）

根據(jù)對(duì)話內(nèi)容，從對(duì)話后所給的選項(xiàng)中選出能填入空白處的最佳選項(xiàng)。選項(xiàng)中有兩項(xiàng)為多余選項(xiàng)。

(B: Burley, the boss,  J: Jeremy)

B: Good morning.

J: Good moring, Mr. Burley.

B: Please be seated.    61 

J: Yes, I have. I worked for B & J Business Forms Company.

B:   62 

J: I quite enjoyed it, but the office was too big and sometimes noisy. I want to work in a smaller and quieter office.

B:  63   I think my office is very quiet and modern. I hope you don’t stay away from work too much.

J:  64  

B: That’s very good indeed.   65   One of the young men in my office is always absent. Right! I’ll take you on.  

第II卷 (共55分)

             第三部分    寫作（共三節(jié)，滿分55分）

第一節(jié)  單詞拼寫（共10小題，每小題1分，滿分10分）

66. To her__________(失望), it rained on the day of the picnic.

67. I’ll drop in on you if it is __________ (方便)to you.

68. __________(聽) to music is great fun and I enjoy it.

69. In Britain __________(星期五) is considered the fifth day of the week.

70.We __________(還價(jià)) with her about the price, but we couldn’t bring it down.

71. The traditions were__________ (深深地) rooted in local custom.

72. Chinese characters are the most beautiful, _________(比較)with the words in other languages.

73. Many _________ (亞洲) countries are making great efforts to develop their own economies.

74. I’m going to celebrate Dad’s__________(六十) birthday.

75.The students felt so__________(興奮) at the good news.

第二節(jié)  短文改錯(cuò) （共10小題，每小題1.5分，滿分15分）

如無錯(cuò)誤，在該行右邊的橫線上畫一個(gè)勾（√）；如果有錯(cuò)誤（每行只有一個(gè)錯(cuò)誤），則按下列情況改正：該行多一詞：把多余的詞用斜線（\）劃掉，在該行右邊橫線上寫出該詞，并也用斜線劃掉。該行缺一詞：在缺詞處加一個(gè)漏字符號(hào)（∧），并在該行右邊橫線上寫出該加的詞。該行錯(cuò)一詞：在錯(cuò)的詞下劃一橫線，在該行右邊的橫線上寫出改正后的詞。

Dear, Carmen

   It is early afternoon and I am sitting in the small restaurant   

76.____________

closed to my work . It is a terrible day in New Orleans. It is

77.____________

raining and I am feeling of homesick . I am thinking of you

78.____________

and my other friends in Mexico. I miss everyone. Outside, the

79.____________

sidewalks is crowed with people. All of them are wearing coats

80.____________

and carry umbrellas. Everyone is in a hurry to get a dry place

81.____________

Bus and cars are moving up and down the streets. Inside,

82.____________

it is warm and pleasant. I attend classes in every morning. I

83.____________

don’t have many free time. But I like my life here. I hope

84.____________

that you are good and happy. Please write soon. I enjoy your

85.____________

letters with news from home

第三節(jié)：書面表達(dá)(滿分30分)

假設(shè)你是李紅，你的一位美國(guó)筆友Robert寫E-mail問及你高考后暑假的安排，請(qǐng)根據(jù)以下要點(diǎn)，寫一封100詞左右的email回復(fù)他, 可以適當(dāng)增加細(xì)節(jié)。

1. 學(xué)開車 2. 參加英語培訓(xùn)課程 3. 去北京游玩 4. 游覽北京的名勝 5. 可能的話，參加社會(huì)實(shí)踐，勤工儉學(xué)。

　　注意：1.根據(jù)以上內(nèi)容寫一篇短文，不要逐句翻譯，可適當(dāng)增加細(xì)節(jié)以使行文連貫。2. 詞數(shù)：100個(gè)左右。開頭已給出，不計(jì)詞數(shù)。

Dear Robert,

　　How time flies!__________________________________________________

      月考四英語試卷答案

第Ⅰ卷

選擇題

題號(hào)

1

2

3

4

5

6

7

8

9

10

答案

A

C

C

B

A

A

D

C

B

A

題號(hào)

11

12

13

14

15

16

17

18

19

20

答案

D

A

C

D

B

A

D

C

A

C

題號(hào)

21

22

23

24

25

26

27

28

29

30

答案

A

B

C

B

D

C

B

A

C

D

題號(hào)

31

32

33

34

35

36

37

38

39

40

答案

C

C

D

C

B

B

A

A

B

D

題號(hào)

41

42

43

44

45

46

47

48

49

50

答案

B

A

B

C

A

D

B

D

D

D

題號(hào)

51

52

53

54

55

56

57

58

59

60

答案

D

C

B

A

C

B

B

D

C

D

第Ⅱ卷

補(bǔ)全對(duì)話

61. D  62.G    63. C     64. E    65. A

單詞拼寫

66. disappointment     67. convenient      68. Listening      69. Friday

70. bargained         71. deeply          72. compared    73. Asian

74. sixtieth           75. excited

短文改錯(cuò)

76. the →  a     77. closed →  close      78. feeling of     79.  √ 

80. is → are  81.    carry →  carrying       82.  Bus  → Buses 

83.  in       84. many → much      85. good → well

書面表達(dá)

Dear Robert:

How time flies! The happy days we shared often shines in my memory. What about you? As you know, my college entrance exam is approaching, which also announces the end of this sort of pressing study life. However，I intend to have a meaningful summer vacation. First, I will learn to drive to get a driving license, which is a new activity for a high school graduate in China. I will have a good rest, enjoying my hobbies. Then I will take some English courses to improve my English communication ability. After that, I will pay a visit to Beijing, visiting some tourist attractions to widen my horizon. If it is possible, I plan to do some part-time job to add my social experience. 

That is the plan for my vacation. I am looking forward to being told about your arrangements of vacation. Give me your quick reply soon, OK?

　　Best wishes!

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