12.直線.將圓面分成若干塊.現(xiàn)用5種顏色給這若干塊涂色.每塊只涂一種顏色.且任意兩塊不同色.共有120種涂法.則m的取值范圍是 查看更多

 

題目列表(包括答案和解析)

請(qǐng) 閱 讀 下 面 欲 購(gòu) 買 或 租 用 汽 車 者 的 個(gè) 人 資 料 , 然 后 匹 配 與 其 相 適 合 的 汽 車并按照要求匹配信息。最后將答案涂在答題卡的相應(yīng)序號(hào)處.

注意: 如果選E請(qǐng)同時(shí)涂A,B; 如果選F請(qǐng)同時(shí)涂C,D.

56---60 是各位專家的有關(guān)信息,請(qǐng)閱讀六位不同的人的需求(A---F),并按照需求匹配信息。選項(xiàng)中有一項(xiàng)是多余選項(xiàng)。

56.Doctor Allen

    Doctor Allen is a dentist.The dentist is a doctor who is specially trained to care for teeth.When you visit your dentist for a checkup, he or she will look at your teeth and gums to check for any problem.The dentist also wants to make sure your teeth are developing properly as you grow.It’s important to visit your dentist every 6 months to make sure you’re taking good care of your teeth and that your teeth and gums are healthy.

57.Doctor Philips

    Doctor Philips is a pediatrician.Basically, pediatricians focus on the physical, emotional, and social health of infants, children, adolescents, and young adults from birth to 21 years.Their patient-care lens is focused on prevention, detection, and management of physical, behavioral, developmental, and social problems that affect children.Even more basically, pediatricians take care of children.This might involve treating an ear infection, talking to parents about school or behavioral problems, or seeing them for well child checkups and giving them their shots.

58.Doctor Smith

    Doctor Smith is a surgeon, who is a physician specializing in surgery.General Surgeons perform comprehensive general surgery examinations, consultation, diagnosis, and treatment planning, which includes: trauma, wounds, and conditions of soft tissue, including aspiration,

    biopsy, and repair, etc.

59.Doctor Steward

    Doctor Steward is a clinical psychologist, who is trained and educated to perform psychological research, testing, and therapy.Clinical psychologists may simply, but importantly, provide an opportunity to talk and think about things that are confusing and worrying.They would also discuss with you different ways of understanding or interpreting your problems or situations.Clinical psychologists are trained to use a range of different approaches aimed to help you become more expert about yourself, and more able to overcome or cope with life problems.

60.Doctor Lisa

    Doctor Lisa is an excellent school consultant.Educational consultants counsel students and their families in the selection of programs, schools and treatment centers, based on the student’s individual needs.When students graduate from high school, some of them want to continue their study; they may be not sure which university is more appropriate for them, or what subject they will choose.In that case, most of them will turn to their educational consultants.

請(qǐng)閱讀以下相關(guān)信息,然后匹配他/她擬要咨詢的相關(guān)專家或醫(yī)生。

A.Tom’s mother is worried because Tom’s wounded this morning when he jumped off the speeding bicycle.The soft tissue of his right leg was broken.

B.Alex is going to take a course of computer.But he is not sure whether this course will be useful when he goes to the university.

C.Mummy is unhappy because she feels painful when she bites into something cold or hot.Her teeth are really a trouble to her.

D.Mary’s younger brother Tim, who is 8 years old, felt uncomfortable, because he had eaten too much ice-cream.

E.Lily wants to visit some places of interests during the long holiday.But she doesn’t know where to go and how to have a good tour and not waste money.

F.Lee is really frustrated nowadays.He doesn’t know why other students don’t want to speak to him.What’s wrong? It seems that he can never get out of it .He gets angry easily recently.He wants to talk to someone to get out of it.

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基礎(chǔ)寫作(共1小題,滿分15分)

假如你是Jenny。你所在城市的孔子學(xué)院(The Confucius Institute)將舉辦“漢語橋”比賽,該比賽面向?qū)W習(xí)漢語的外國(guó)青年學(xué)生。你的美國(guó)筆友David學(xué)習(xí)漢語多年,你想建議他參加這個(gè)比賽。

【寫作內(nèi)容】

     請(qǐng)你根據(jù)下列提示給David寫一封信介紹這個(gè)比賽并鼓勵(lì)他參賽。

“漢語橋”比賽

活動(dòng)目的

提供展示漢語能力的舞臺(tái)

激發(fā)學(xué)習(xí)漢語的熱情

增進(jìn)對(duì)中華文化的了解

參賽對(duì)象

年齡30歲以下、母語非漢語的外國(guó)高校學(xué)生。

比賽內(nèi)容

演講(3分鐘)

當(dāng)場(chǎng)問答(2分鐘)

中國(guó)文化技藝表演(3分鐘)

參賽方式

參賽者須在2011年8月1日前向組委會(huì)提交個(gè)人信息資料。郵箱:chinesebridge@hanban.org.

參考詞匯:漢語橋:Chinese Bridge; 組委會(huì):organizing committee

【寫作要求】

1. 只能用5個(gè)句子表達(dá)全部?jī)?nèi)容。

      2. 信的開頭、結(jié)尾已經(jīng)給出。

【評(píng)分標(biāo)準(zhǔn)】

      句子結(jié)構(gòu)準(zhǔn)確,信息內(nèi)容完整,篇章結(jié)構(gòu)連貫。

Dear David,

                                                                                                    

                                                                                                    

                                                                            Yours

                                                             Jenny

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《紐約時(shí)報(bào)》11月刊登了DAVID BROOKS的一篇評(píng)論文章“The Nation of Futurity”,他提出這種觀點(diǎn)“中國(guó)崛起使美國(guó)產(chǎn)生信仰危機(jī)(critis)”。

原因
中國(guó)經(jīng)濟(jì)的增長(zhǎng)速度;中國(guó)人的樂觀態(tài)度
 
《新聞周刊》
Newsweek
的調(diào)查結(jié)果
1.86%的中國(guó)人認(rèn)為自己的國(guó)家所走的道路是正確的;
美國(guó)只有37%的人認(rèn)為自己的國(guó)家走在正確道路上;
2.63%的人相信自己的國(guó)家30年之內(nèi)將成為全球技術(shù)領(lǐng)先者;
 
3.多數(shù)中國(guó)人認(rèn)為中國(guó)將帶來下一場(chǎng)社會(huì)變遷.
只有三分之一的美國(guó)人認(rèn)為下一場(chǎng)突破會(huì)發(fā)生在美國(guó).
 
請(qǐng)用5個(gè)句子表達(dá)全部所給的內(nèi)容(短文的開頭已給出,不計(jì)入總句數(shù));
The editorial“The Nation of Futurity”was published in New York Times on Nov.17th...

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第二節(jié)書面表達(dá)(25分)
假如你是張?zhí)m,收到一位美國(guó)朋友Lucy的贈(zèng)書,現(xiàn)用英語寫一封回信表示感謝.內(nèi)容包括:
1.現(xiàn)在每天晚上讀這本書,覺得這本書很好,你很感興趣。
2.期末考試臨近,有信心取得好成績(jī),希望以后能考上一所好大學(xué)。
3.今年夏天你將隨父母去紐約。你希望能在那里見到你的朋友。
Dear Lucy,
__________________________________________________________________________                                         
Yours sincerely
ZhangLan

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將下列中文翻譯成英文短語(共5小題,每小題2分,共計(jì)10分)

1.喜愛,喜歡  

2.改變主意   

3.立刻,馬上  

4.設(shè)立,建立 

5.失業(yè)

 

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1.解析:,故選A。

2.解析:∵

,

故選B。

3.解析:由,得,此時(shí),所以,,故選C。

4.解析:顯然,若共線,則共線;若共線,則,即,得,∴共線,∴共線是共線的充要條件,故選C。

5.解析:設(shè)公差為,由題意得,;,解得,故選C。

6.解析:∵雙曲線的右焦點(diǎn)到一條漸近線的距離等于焦距的,∴,又∵,∴,∴,∴雙曲線的離心率是。故選B.

7.解析:∵、為正實(shí)數(shù),∴,∴;由均值不等式得恒成立,,故②不恒成立,又因?yàn)楹瘮?shù)是增函數(shù),∴,故恒成立的不等式是①③④。故選C.

8.解析:∵,∴在區(qū)間上恒成立,即在區(qū)間上恒成立,∴,故選D。

9.解析:∵

,此函數(shù)的最小值為,故選C。

10.解析:如圖,∵正三角形的邊長(zhǎng)為,∴,∴,又∵,∴,故選D。

11.解析:∵在區(qū)間上是增函數(shù)且,∴其反函數(shù)在區(qū)間上是增函數(shù),∴,故選A

12.解析:如圖,①當(dāng)時(shí),圓面被分成2塊,涂色方法有20種;②當(dāng)時(shí),圓面被分成3塊,涂色方法有60種;

③當(dāng)時(shí),圓面被分成4塊,涂色方法有120種,所以m的取值范圍是,故選A。

13.解析:做出表示的平面區(qū)域如圖,當(dāng)直線經(jīng)過點(diǎn)時(shí),取得最大值5。

學(xué)科網(wǎng)(Zxxk.Com)14.解析:∵,∴時(shí),,又時(shí),滿足上式,因此,,

學(xué)科網(wǎng)(Zxxk.Com)15.解析:設(shè)正四面體的棱長(zhǎng)為,連,取的中點(diǎn),連,∵的中點(diǎn),∴,∴或其補(bǔ)角為所成角,∵,,∴,∴,又∵,∴,∴所成角的余弦值為。

學(xué)科網(wǎng)(Zxxk.Com)16.解析:∵,∴,∵點(diǎn)的準(zhǔn)線與軸的交點(diǎn),由向量的加法法則及拋物線的對(duì)稱性可知,點(diǎn)為拋物線上關(guān)于軸對(duì)稱的兩點(diǎn)且做出圖形如右圖,其中為點(diǎn)到準(zhǔn)線的距離,四邊形為菱形,∴,∴,∴,∴,∴,∴向量的夾角為。

17.(10分)解析:(Ⅰ)由正弦定理得,,,…2分

,………4分

(Ⅱ)∵,,∴,∴,………………………6分

又∵,∴,∴,………………………8分

!10分

18.解析:(Ⅰ)∵,∴;……………………理3文4分

(Ⅱ)∵三科會(huì)考不合格的概率均為,∴學(xué)生甲不能拿到高中畢業(yè)證的概率;……………………理6文8分

(Ⅲ)∵每科得A,B的概率分別為,∴學(xué)生甲被評(píng)為三好學(xué)生的概率為。……………………12分

(理)∵,,!9分

的分布列如下表:

0

1

2

3

的數(shù)學(xué)期望!12分

19.(12分)解析:(Ⅰ)時(shí),

,,

    

得,   ………3分

 

 

+

0

0

+

遞增

極大值

遞減

極小值

遞增

      ………………………6分

(Ⅱ)在定義域上是增函數(shù),

對(duì)恒成立,即 

   ………………………9分

(當(dāng)且僅當(dāng)時(shí),

               

 ………………………4分

學(xué)科網(wǎng)(Zxxk.Com)              

20.解析:(Ⅰ)∵,,∴,∵底面,∴,∴平面,∴,又∵平面,∴,∴平面,∴!4分

(Ⅱ)∵平面,∴,,∴為二面角的平面角,………………………6分

,,∴,又∵平面,,∴,∴二面角的正切值的大小為!8分

(Ⅲ)過點(diǎn),交于點(diǎn),∵平面,∴在平面內(nèi)的射影,∴與平面所成的角,………………………10分

學(xué)科網(wǎng)(Zxxk.Com),∴,又∵,∴與平面所成的角相等,∴與平面所成角的正切值為!12分

解法2:如圖建立空間直角坐標(biāo)系,(Ⅰ)∵,,∴點(diǎn)的坐標(biāo)分別是,,,∴,,設(shè),∵平面,∴,∴,取,∴,∴!4分

(Ⅱ)設(shè)二面角的大小為,∵平面的法向量是,平面的法向量是,∴,∴,∴二面角的正切值的大小為。………………………8分

(Ⅲ)設(shè)與平面所成角的大小為,∵平面的法向量是,,∴,∴,∴與平面所成角的正切值為!12分

21.(Ⅰ) 解析:如圖,設(shè)右準(zhǔn)線軸的交點(diǎn)為,過點(diǎn)


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