點(diǎn).AB=1.直線AD到平面SBC的距離等于.(1)求斜高SM的長, 查看更多

 

題目列表(包括答案和解析)

2009.江蘇卷):書面表達(dá)(滿分25分)

鼠標(biāo)是計(jì)算機(jī)時(shí)代最佳的人機(jī)交互工具之一。它極大地方便了人們的計(jì)算機(jī)操作。但是,過分依賴鼠標(biāo)的習(xí)慣也會帶來一些不利影響。請你以鼠標(biāo)為切入點(diǎn),根據(jù)下表所提示的信息,用英語寫一篇短文。

鼠標(biāo)的必要性

對多數(shù)人來說,操作計(jì)算機(jī),上網(wǎng)沖浪……

鼠標(biāo)的便捷性

點(diǎn)擊、移動、插入、拷貝、刪除……

編輯文本,搜索信息……

收發(fā)郵件,選購商品……

點(diǎn)播音樂,下載電影……

如果過分依賴鼠標(biāo)……  (請考生結(jié)合自身感受,列舉兩到三點(diǎn))

 

注意:

1.對所給要點(diǎn)逐一陳述,適當(dāng)發(fā)揮,不要簡單翻譯。

2.詞數(shù)150左右。開頭已經(jīng)寫好,不計(jì)人總詞數(shù)。

3.作文中不得提及考生所在學(xué)校和本人姓名。

The mouse is a most effective device used by people to communicate with a computer.

 

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信息匹配(共5小題;每小題2分,滿分10分)
請閱讀下列應(yīng)用文及相關(guān)信息,并按照要求匹配信息。請?jiān)诖痤}卡56—60上將對應(yīng)題號的相應(yīng)字母涂黑。注意E涂AB,F(xiàn)涂CD。
首先,請閱讀下面的售貨廣告:
A. HORNSBY Demolition Sale 21 Steward Avenue Saturday and Sunday 9am-12am Furniture, and even the kitchen sink, new outdoor lighting and a lot more to go
B. HUGE SALE PENNANT HILLS,2a Pomona Street, Saturday 7th October ,8am-2pm,furniture,househole goods, variety of items.
C. HUGE Garage Sale, PYMBLE 80 Bannockburn road, Corner Rushall Street Saturday 30th September only. 9.00am to 2.00pm Nothing sold before! Gymnasium equipment. Hi-fis, Fridges, Cycles, Book Furniture and much more! Don’t miss it!
D. Last Sale Moving Sunday 1st October form 7am. Great variety of goods ,twin bedroom suite other furniture and tools.11 Bellamy Avenue , Eastwood
E. MOVING SALE HORNSBY HTS. Claros Close. Saturday 7Th Oct .from .9am. H/Hold items, furniture, & o/door furniture, TV, garden tools & equip .Every thing must go .Bargain prices.
F.MOVING SALE MT.COLAH Sale Lounge, Dining and Bedroom Furniture, Electrical and Whitegoods . Ph:0405 770 699
請閱讀下面購買者的信息,然后匹配他們可能購買的商品:
【小題1】 Ross ,a young man who has just found a job in a company. He rents a small apartment near the downtown and needs some bowls, plates and forks, ect.
【小題2】Joseph and his wife just moved into a new house with a big garden. Wild grass crawls all over the garden. They need some tools to make the garden tidy.
【小題3】 Roger, lives in a house 22 Bellamy Avenue, Eastwood. He needs a writing desk, a dining table, some chairs and a sofa.
【小題4】 Richard, a young man who likes sports and music. He would add something more to satisfy his interests at home.
【小題5】Mike, a private gymnasium owner. He has just increased several new tennis courts for his growing business. He is planning to open them at evening and needs the lighting.

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Weddings in the United States vary as much as the people do. There are church weddings with a great deal of fanfare(儀式上用的短曲); there are weddings on mountain-tops with guests barefooted (赤腳的); and there have been weddings on the ocean floor with oxygen tanks for the guests. But many weddings, no matter where or how they are performed, include certain traditional customs.
Before a couple is married, they become engaged. And then invitations are sent to those who live nearby, their close friends and their relatives who live far away. When everything is ready, then comes the most exciting moment.
The wedding itself usually lasts between 20 and 40 minutes. The wedding party enters the church while the wedding march is played. The bride carrying a bouquet (花束)enters last with her father who will "give her away ". The bridegroom enters the church from a side door. When the wedding party is gathered by the altar, the bride and bridegroom exchange vows (誓言). It is traditional to use the words "To have and to hold from this day forward, for better, for worse, for richer, for poorer, in sickness and in health, to love and to cherish, till death do us part ". Following the vows, the couple exchange rings. Wearing the wedding ring on the fourth finger of the left hand is an old custom.
After the ceremony there is often a party, called a "reception" which gives the wedding guests an opportunity to congratulate the new couple . The car in which the couple leaves the church is decorated with balloons, streamers and shaving cream. The words "Just Married" are painted on the trunk or back window. The bride and bridegroom run to the car under a shower of rice thrown by the wedding guests. When the couple drives away from the church, friends often chase them in cars, honking (鳴汽車?yán)?and drawing attention to them. And then the couple go on their honeymoon.
【小題1】This passage is written mainly to let us know something about _______ .

A.health and lifestyle B.science and technology
C.culture and customD.education and entertainment
【小題2】Why do the wedding guests throw a lot of rice at the bride and bridegroom when they run to the car ?
A.To wish them good luck . B.To make fun of them.
C.Not mentioned . D.To draw attention to them .
【小題3】Which of the following is TRUE of American weddings ?
A.They are always held in churches whoever they are .
B.The bride’s father is usually present to lead his daughter to the bridegroom and give her to him .
C.Only bridegrooms send rings to brides .
D.Brides needn’t make vows before bridegrooms .
【小題4】Which of the following is the correct order in which the following events happen ?
a. sending invitation           b. going on honeymoon
c. attending the wedding        d. giving a reception
e. getting engaged
A.e-b-c-d-aB.e-c-d-a-bC.b-c-d-a-eD.e-a-c-d-b

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CBC is a famous air company which has over twenty planes carrying passengers and goods, flying along 12 fixed lines all over the world. Its service is very good but some passengers are still not satisfied with it and that is why in 2004 and 2005 the company received letters of complaints from consumers or passengers who pointed out over a dozen kind of problems which are divided in groups in the following table. Those concerning passengers’ things carried on the plane are baggage problems. Customer service refers to service work which passengers are not satisfied with. Overselling of tickets is about the fact that more seats are sold and as a result the plane is too crowded to be safe. Refund problems appear when passengers fail to receive the money paid back to them because of what they have lost. Fares are problems concerning the price of tickets.  
Consumer Complaints Received By the CBC

Category
2004
2005
Flight problems
20.2%
22.1%
Baggage
18.3%
21.8%
Customer service
3.1%
11.3%
Over sales of seats
10.5%
11.8%
Refund problems
10.1%
8.1%
Fares
6.4%
6.0%
Reservation & Ticketing
5.8%
5.6%
Tours
3.3%
2.3%
Smoking
3.2%
2.9%
Advertising
1.2%
1.01%
Credit
1.0%
0.8%
Special passengers
0.9%
0.9%
Others
6.0%
5.3%
Total Number of Complaints
2,988
1,792
【小題1】 About how many complaints about Credit were received by the CBC in 2004?
A.28B.29C.30D.31
【小題2】By about what percentage did the total number of complaints decrease from 2004 to 2005?
A.40%B.60%C.75%D.100%
【小題3】If the circle graphs below show total consumer complaints for 2004, which graph shows a dark part that is about Flight problems and Refund problems together?

【小題4】Which of the following statements can be inferred from the table?
a. In 2004 and in 2005, complaints about Flight problems, Baggage, and Customer service
together took more than 40 percent of all consumer complaints received by the CBC Company.
b .The number of special passengers complaints was unchanged from 2004 to 2005.
c .From 2004 to 2005 the number of Flight problems complaints increased by more than 2 percent.
A.only aB.only bC.a(chǎn) and bD.a(chǎn) and c
【小題5】From the passage we can know that _______ .
A.customers are not satisfied with CBC
B.sometimes CBC sells more tickets than its plane’s fixed seats
C.CBC has more than twenty planes which fly to all the capital cities of the world
D.customers can only buy tickets with cash

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2009.江蘇卷):書面表達(dá)(滿分25分)

鼠標(biāo)是計(jì)算機(jī)時(shí)代最佳的人機(jī)交互工具之一。它極大地方便了人們的計(jì)算機(jī)操作。但是,過分依賴鼠標(biāo)的習(xí)慣也會帶來一些不利影響。請你以鼠標(biāo)為切入點(diǎn),根據(jù)下表所提示的信息,用英語寫一篇短文。

鼠標(biāo)的必要性

對多數(shù)人來說,操作計(jì)算機(jī),上網(wǎng)沖浪……

鼠標(biāo)的便捷性

點(diǎn)擊、移動、插入、拷貝、刪除……

編輯文本,搜索信息……

收發(fā)郵件,選購商品……

點(diǎn)播音樂,下載電影……

如果過分依賴鼠標(biāo)……  (請考生結(jié)合自身感受,列舉兩到三點(diǎn))

 

注意:

1.對所給要點(diǎn)逐一陳述,適當(dāng)發(fā)揮,不要簡單翻譯。

2.詞數(shù)150左右。開頭已經(jīng)寫好,不計(jì)人總詞數(shù)。

3.作文中不得提及考生所在學(xué)校和本人姓名。

The mouse is a most effective device used by people to communicate with a computer.

 

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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

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    ∵底面邊長為1,∴,

    ,,

    .    ……………… 1分

    設(shè)

    平面SBC的一個(gè)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(gè)法向量為n1. ………………………………6分

    設(shè)平面EBC的一個(gè)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(gè)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(gè)交點(diǎn).

    ∴  方程只有一個(gè)實(shí)根.…………………………15分


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