題目列表(包括答案和解析)
請 閱 讀 下 面 欲 購 買 或 租 用 汽 車 者 的 個 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序號處.
注意: 如果選E請同時涂A,B; 如果選F請同時涂C,D.
56---60 是各位專家的有關信息,請閱讀六位不同的人的需求(A---F),并按照需求匹配信息。選項中有一項是多余選項。
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.
請閱讀以下相關信息,然后匹配他/她擬要咨詢的相關專家或醫(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.
基礎寫作(共1小題,滿分15分)
假如你是Jenny。你所在城市的孔子學院(The Confucius Institute)將舉辦“漢語橋”比賽,該比賽面向學習漢語的外國青年學生。你的美國筆友David學習漢語多年,你想建議他參加這個比賽。
【寫作內容】
請你根據下列提示給David寫一封信介紹這個比賽并鼓勵他參賽。
“漢語橋”比賽 | |
活動目的 | 提供展示漢語能力的舞臺 激發(fā)學習漢語的熱情 增進對中華文化的了解 |
參賽對象 | 年齡30歲以下、母語非漢語的外國高校學生。 |
比賽內容 | 演講(3分鐘) 當場問答(2分鐘) 中國文化技藝表演(3分鐘) |
參賽方式 | 參賽者須在2011年8月1日前向組委會提交個人信息資料。郵箱:chinesebridge@hanban.org. |
參考詞匯:漢語橋:Chinese Bridge; 組委會:organizing committee
【寫作要求】
1. 只能用5個句子表達全部內容。
2. 信的開頭、結尾已經給出。
【評分標準】
句子結構準確,信息內容完整,篇章結構連貫。
Dear David,
Yours
Jenny
《紐約時報》11月刊登了DAVID BROOKS的一篇評論文章“The Nation of Futurity”,他提出這種觀點“中國崛起使美國產生信仰危機(critis)”。
原因 | 中國經濟的增長速度;中國人的樂觀態(tài)度 | |
《新聞周刊》 Newsweek 的調查結果 | 1.86%的中國人認為自己的國家所走的道路是正確的; | 美國只有37%的人認為自己的國家走在正確道路上; |
2.63%的人相信自己的國家30年之內將成為全球技術領先者; | | |
3.多數中國人認為中國將帶來下一場社會變遷. | 只有三分之一的美國人認為下一場突破會發(fā)生在美國. |
第二節(jié)書面表達(25分)
假如你是張?zhí)m,收到一位美國朋友Lucy的贈書,現用英語寫一封回信表示感謝.內容包括:
1.現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,希望以后能考上一所好大學。
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
將下列中文翻譯成英文短語(共5小題,每小題2分,共計10分)
1.喜愛,喜歡
2.改變主意
3.立刻,馬上
4.設立,建立
5.失業(yè)
1.解析:,故選A。
2.解析:∵
,
故選B。
3.解析:由,得,此時,所以,,故選C。
4.解析:顯然,若與共線,則與共線;若與共線,則,即,得,∴與共線,∴與共線是與共線的充要條件,故選C。
5.解析:設公差為,由題意得,;,解得或,故選C。
6.解析:∵雙曲線的右焦點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:∵、為正實數,∴,∴;由均值不等式得恒成立,,故②不恒成立,又因為函數在是增函數,∴,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:∵
,此函數的最小值為,故選C。
10.解析:如圖,∵正三角形的邊長為,∴,∴,又∵,∴,故選D。
11.解析:∵在區(qū)間上是增函數且,∴其反函數在區(qū)間上是增函數,∴,故選A
12.解析:如圖,①當或時,圓面被分成2塊,涂色方法有20種;②當或時,圓面被分成3塊,涂色方法有60種;
③當時,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,當直線經過點時,取得最大值5。
14.解析:∵,∴時,,又時,滿足上式,因此,,
∴。
15.解析:設正四面體的棱長為,連,取的中點,連,∵為的中點,∴∥,∴或其補角為與所成角,∵,,∴,∴,又∵,∴,∴與所成角的余弦值為。
16.解析:∵,∴,∵點為的準線與軸的交點,由向量的加法法則及拋物線的對稱性可知,點為拋物線上關于軸對稱的兩點且做出圖形如右圖,其中為點到準線的距離,四邊形為菱形,∴,∴,∴,∴,∴,∴向量與的夾角為。
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)∵三科會考不合格的概率均為,∴學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,∴學生甲被評為三好學生的概率為。……………………12分
(理)∵,,,!9分
∴的分布列如下表:
0
1
2
3
∴的數學期望!12分
19.(12分)解析:(Ⅰ)時,
,,
由得, 或 ………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,
對恒成立,即
………………………9分
又(當且僅當時,)
………………………4分
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)過點做∥,交于點,∵平面,∴為在平面內的射影,∴為與平面所成的角,………………………10分
∵,∴,又∵∥,∴和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系,(Ⅰ)∵,,∴點的坐標分別是,,,∴,,設,∵平面,∴,∴,取,∴,∴!4分
(Ⅱ)設二面角的大小為,∵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,設右準線與軸的交點為,過點
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