7. 箱內(nèi)有大小相同的6個紅球和4個黑球.從中每次取1個球記下顏色后再放回箱中.則前3次恰有1次取到黑球的概率為 查看更多

 

題目列表(包括答案和解析)

閱讀下列各小題,根據(jù)括號內(nèi)的漢語提示,用句末括號內(nèi)的英語單詞完成句子。

1.Don’t be too rude to your father. Never in his life _______________ in that way up to now. (speak)

不要對你的父親那么粗魯,到目前為止還沒有人像那樣對他說話。

2.When his mother came home from work, he was lying on the sofa, ____________. (absorb)

母親下班回家的時(shí)候,他正躺在沙發(fā)上專心致志地看書。

3.________________ different languages and cultures does a lot of good to children. (expose)

接觸不同的語言和文化對孩子們大有裨益

4.I think that it is I rather than my sister _______________ for what happened. (blame)

我認(rèn)為出了事不能怪姐姐而應(yīng)該怪我。

5.Although house construction _________________, you can find many diverse styles in each country. (vary)

每個國家的建筑結(jié)構(gòu)都不盡相同,然而在每個國家你能發(fā)現(xiàn)各式各樣的風(fēng)格。

6.With ____________, the problem that they had worked on for a long time was eventually worked out. (adopt)

由于采取了新方法,他們鉆研了很長時(shí)間的問題終于解決了。

7.If he hadn’t hesitated for a moment before kicking the ball, he ______ a goal. (score)

要是他在射門前不遲疑,他就進(jìn)了一球。

8.Have you ever had a case____________ getting the wrong end of the stick? (accuse)

你們有沒有這樣的情況:別人控告他們說他們的報(bào)道完全失真?

9._________________ is that while I am concentrating on my study, my classmates make so much noise. (put)

我不能忍受的是在我全神貫注地學(xué)習(xí)時(shí),我的同學(xué)那么吵鬧。

10._____________to you whether I like it or not, because you never listen to me. (difference)

我喜不喜歡對你來說沒什么差別,因?yàn)槟銖膩砭筒宦犖业摹?/p>

 

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完成句子(共8小題,每空0.5分,滿分10分)

1.這幅畫稍遠(yuǎn)點(diǎn)看更漂亮。

The picture looks more beautiful _________ _________ _________.

2.和其他學(xué)生相比,邁克更加勤勉一些。

_______ _______ other student, Mike is more diligent.

3.一座難看的大樓把窗外的景物擋住了。

An ugly building _________ _______ _________ ______ _______ the window.

4.地球的大小是月球的49倍。

The earth is 49 _____ the ______ ______ the moon.

5.年輕時(shí),他就有打籃球的天賦。

As a young boy, he _______ _______ ________ ______ playing basketball.

6.他的建議是辦公室內(nèi)不允許抽煙。

His suggestion is that no one ________ _______ _______ smoke in the office.

 

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此題要求改正所給短文中的錯誤。對標(biāo)有題號的每一行作出判斷:如無錯誤,在該行右邊橫線上畫一個勾(√);如有錯誤(每行只有一個錯誤),則按下列情況改正:

此行多一個詞:把多余的詞用(\)劃掉,在該行右邊橫線上寫出該詞,并也用斜線劃掉。

此行缺一個詞:在缺詞處加一個漏字符號(∧),在該行右邊橫線上寫出該加的詞。

此行錯一個詞:在錯的詞下劃一橫線,在該行右邊橫線上寫出改正后的詞。

注意:原行沒有錯的不要改。

  Jim is learning what to drive a car. A                            1._______

week ago he had his first lessons. Yesterday                    2._______

his teacher took him out of on a busy road.                    3.______

It was full with cars and people. He drove                      4.______

very slowly and carefully, and he felt                               5. _______

afraid whole time. At last the lesson                                 6.______

finished and he went home. He felt tiring.                       7._____

Jim make sure that he will be able to                             8. _______

drive a car soon. Though it is difficult                               9._____

to drive it, but it is interesting indeed.                            10._____  

 

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此題要求改正所給短文中的錯誤。對標(biāo)有題號的每一行作出判斷:如無錯誤,在該行右邊橫線上畫一個勾(√);如有錯誤(每行只有一個錯誤),則按下列情況改正:

    此行多一個詞:用斜線(\)劃掉,在該行右邊橫線上寫出該詞,并也用斜線劃掉。

    此行缺一個詞:在缺詞處加一個漏字符號(∧), 在該行右邊橫線上寫出該加的詞。

此行錯一個詞:在錯的詞下劃一橫線,在該行右邊橫線上寫出改正后的詞。

注意:原行沒有錯的不要改。

  After I finished school, I began to look for a work.     1._______________

Now several months has passed, but I haven’t found the   2._______________

job I’m interested. Last Sunday morning, I received a3. _______________

phone call from a man called Mr. Wang. He said on       4._______________

the phone, “I hear you do well on your studies. I may5._______________

offer you a job.” I entered into his office with a beating heart.6._______________

How I wished I will go through the job-hunting talk     7._______________

and that she would take on me as an assistant.       8._______________

But to my surprised, what he said disappointed me.      9._______________

That he needed was only a model.  10._______________

 

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短文改錯(共10小題,每題1分,共計(jì)10分)

對標(biāo)有題號的每一行做出判斷:如果沒有錯誤,在該行的右邊橫線上打勾;如有錯誤(每行只有一個錯誤)則按下列情況改正:

此行多一詞:把多余的詞用斜線(\)劃掉,在右邊橫線上寫出該詞也用斜線劃掉。

此行缺一個詞:在缺詞處加一個漏字符號( ^ ),在該行右邊橫線上寫出該加的詞。

此行錯一個詞:在錯的詞下劃一橫線(__),在該行右邊橫線上寫出改正后的詞。

Last time you said you felt nervously before exams. I know         

1.__________________

the exam results are such important for students that most students

2. __________________

are nervous. My suggestion is you try to relax yourself.             

3.__________________

In fact exams are an evaluation of your studies, so there is       

4.__________________

no need to worry too much the results. I think it’s important     

5.__________________

to take a right attitude. Only before you have made good           

6.__________________

preparation for exams can you avoid suffering from the             

7. __________________

pressure of exams. You’d better go for a walk or to do            

8. __________________

some exercise before them. Besides, have enough sleep              

9.__________________

can make you full of energy. The hot bath or a glass of hot       

10.__________________

milk might help you have a sound sleep.

 

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1.C   2.A   3.B   4.D   5.C   6.B   7.D   8.C   9.B  10.A

  11.120°   12.3x+y-1=0   13.   14.10    15.100    16.(1),(4)

17.解:(1)設(shè)拋物線,將(2,2)代入,得p=1. …………4分

∴y2=2x為所求的拋物線的方程.………………………………………………………5分

(2)聯(lián)立 消去y,得到. ………………………………7分

設(shè)AB的中點(diǎn)為,則

∴ 點(diǎn)到準(zhǔn)線l的距離.…………………………………9分

,…………………………11分

,故以AB為直徑的圓與準(zhǔn)線l相切.…………………… 12分

(注:本題第(2)也可用拋物線的定義法證明)

18.解:(1)在△ACF中,,即.………………………………5分

.又,∴.…………………… 7分

(2)

. ……………………………14分

(注:用坐標(biāo)法證明,同樣給分)

19.

解法一:(1)連OM,作OH⊥SM于H.

∵SM為斜高,∴M為BC的中點(diǎn),∴BC⊥OM.

∵BC⊥SM,∴BC⊥平面SMO.

又OH⊥SM,∴OH⊥平面SBC.……… 2分

由題意,得

設(shè)SM=x,

,解之,即.………………… 5分

(2)設(shè)面EBC∩SD=F,取AD中點(diǎn)N,連SN,設(shè)SN∩EF=Q.

∵AD∥BC,∴AD∥面BEFC.而面SAD∩面BEFC=EF,∴AD∥EF.

又AD⊥SN,AD⊥NM,AD⊥面SMN.

從而EF⊥面SMN,∴EF⊥QS,且EF⊥QM.

∴∠SQM為所求二面角的平面角,記為α.……… 7分

由平幾知識,得

,∴

,即所求二面角為. ……………… 10分

(3)存在一點(diǎn)P,使得OP⊥平面EBC.取SD的中點(diǎn)F,連FC,可得梯形EFCB,

取AD的中點(diǎn)G,連SG,GM,得等腰三角形SGM,O為GM的中點(diǎn),

設(shè)SG∩EF=H,則H是EF的中點(diǎn).

連HM,則HM為平面EFCB與平面SGM的交線.

又∵BC⊥SO,BC⊥GM,∴平面EFCB⊥平面SGM. …………… 12分

在平面SGM中,過O作OQ⊥HM,由兩平面垂直的性質(zhì),可知OQ⊥平面EFCB.

而OQ平面SOM,在平面SOM中,延長OQ必與SM相交于一點(diǎn),

故存在一點(diǎn)P,使得OP⊥平面EBC. ……………………… 14分

     

    ∵底面邊長為1,∴,

    ,

    .    ……………… 1分

    設(shè),

    平面SBC的一個法向量,

    ,

    ∴y=2h,n=(0,2h,1).… 3分

    =(0,1,0),由題意,得.解得

    ∴斜高. …………………………………………………… 5分

    (2)n=(0,2h,1)=,

    由對稱性,面SAD的一個法向量為n1. ………………………………6分

    設(shè)平面EBC的一個法向量n2=(x,y,1),由

    ,,得

     解得.………………… 8分

    設(shè)所求的銳二面角為α,則

    ,∴.…………… 10分

    (3)存在滿足題意的點(diǎn).證明如下:

    . ………………………… 11分

    ,令與n2共線,則. ……………… 13分

    .故存在P∈SM,使OP⊥面EBC.……………………… 14分

    20. 解:(1)當(dāng)n為奇數(shù)時(shí),an≥a,于是,. ………………3分

             當(dāng)n為偶數(shù)時(shí),a-1≥1,且an≥a2,于是

    =. …………6分

    (2)∵,,∴公比.……9分

    . …………………………………………10分

    (注:如用求和公式,漏掉q=1的討論,扣1分)

     . ……………12分

    .……15分21.解:(1)∵,∴,∴. 1分

    ,即,∴. …3分

    ①當(dāng),即時(shí),上式不成立.………………………………………………4分

    ②當(dāng),即時(shí),.由條件,得到

    ,解得. ……………………………………………5分

    ,解得.…………………………………………6分

     m的取值范圍是. ………………………………………7分

    (2)有一個實(shí)根.………………………………………………………………………………9分

    ,即

    ,則

    ,. ………………………10分

     △>0,故有相異兩實(shí)根

    ,∴ 顯然,,

    ,∴,∴. …………12分

    于是

                        

    為三次函數(shù)的極小值點(diǎn),故與x軸只有一個交點(diǎn).

    ∴  方程只有一個實(shí)根.…………………………15分


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