題目列表(包括答案和解析)
書面表達(滿分25分)
為了創造學校的英語學習氛圍,激發同學們學習英語的興趣,我校將舉行英語演講比賽。請你根據下面內容以學生會名義向全校學生做口頭通知,介紹相關情況。
活動:英語演講比賽
比賽時間:5月22日下午;地點:報告廳
比賽要求:
(1)話題從備選的8個話題中自選
(2)選手每人先進行一段20秒以內的自我介紹,演講時間不超過3分鐘
獎勵辦法:各年級設一、二、三等獎
報名時間:5月15日前
報名地點:學生會辦公室
注意: 1.詞數不少于60.
2.通知的開頭和結尾已為你寫好。
3.選手:contestant
Boys and girls, I have an announcement to make.
_____________________________________________________________________________
That’s all.
Thank you.
第二節 書面表達(滿分25分)
假如你是張林,剛進入高三學習,需要購買一本有關英語書面表達的書,請根據下列提示,寫信給你在外文書店工作的朋友Jack,請他幫你挑選。
要 求 | |
書的內容要求 | 1.含寫作技巧:如文章結構,過渡詞使用; 2.有多種寫作題材及其范文; 3.最好有近三年高考的書面表達題。 |
其它 | 1.大小同英語課本,厚度不限。 2.最新版本,供2007級高三學生使用 3.把書郵寄到學校。 |
要求:1.詞數100個左右。
2.不可逐字翻譯,但可適當增加內容,使行文連貫。
3.參考詞匯:過渡詞transitional words 版本edition
注:信的開頭和結尾已為你寫好,不計入總詞數。
Dear Jack,
How are you getting along these days?
I’m in Senior Grade 3 now, and I’m writing to you ask for a favor.
Thank you very much, my dear friend. I wish I hadn’t put you to so much trouble.
Yours,
Zhang Lin
(本題13分)已知函數
(1)已知一直線經過原點
且與曲線
相切,求
的直線方程;
(2)若關于的方程
有兩個不等的實根,求實數
的取值范圍。
閱讀下列應用文及相關信息,并按照要求匹配信息。請在答題卡上將對應題號的相應選項字母涂黑。
下面是一篇有關書籍介紹的應用文,請閱讀下列應用文和相關信息,并按照要求匹配信息。
首先請閱讀下列應用文:
A
I Am a Pencil
Sam Swope's job was teaching writing to third-graders in New York City. His students were from 21 countries, speaking 11 languages, with different backgrounds. But there were a few things they had in common. Family troubles, for one. Money struggles. And poetry. Every single student, with the help of this creative teacher, came forth with awesome writing. Swope leaves the reader with the inspiring conviction (堅信) that deep within each of us lives a poet.
B
Between a Rock and a Hard Place
Aron Ralston, 28, went hiking in a remote Utah canyon without telling anyone. An unexpected catastrophe struck. With enough supplies only for a day, Ralston knew his situation was full of danger. Sure enough, after five days he was in a fight against death. That was when he carried out a courageous plan - using a pocket knife to cut off his trapped arm. His amazing survival story rests at a place among the classics of the genre (體裁).
C
Our Brother's Keeper
Author Jedwin Smith spent 30 years trying to repress (克制) all memories of his brother, Jeff, who was killed in Vietnam. But in Our Brother's Keeper he tells what happens when the Internet brings him into contact with several of his brother's old Marine friends, including the guy who held Jeff in his arms as he died. First via e-mail, and then in person, Smith gets to know these men.
D
The All Americans
With his graduation from West Point, Henry Romanek sailed toward Omaha Beach on the eve of Dday. It was June 1944, and he was about to face the bloodiest battle of his life. Just yesterday, it seemed, he was a standout soldier on the Army team. Now, he was a leader of youngsters in battle, fighting, quite literally, for his country and the future of the free world. In this book, Lars Anderson retraces Romanek's life and that of three other soldiers.
E
Copies in Seconds
With the push of a button, anyone can make copies of almost anything - unlike the old days, when papers had to be rewritten long-hand, carbon-copied out of fussy mimeograph machines (蠟紙油印機). In Copies in Seconds, David Owen showed how a shy engineer named Chester Carlson perfected his xerography machine (靜電復印機) and shopped it around until finally hooking up with the Haloid Corporation. That partnership led to the Xerox copier and changed the face of work forever.
F
State of Grace
Back in the late 1950s and early 1960s, the Lynvets was just a football team in a sandy New York City neighborhood. But to most of its members - the author, Robert Timberg, included - the team was their only experience of a happy family, their only chance to rise above terrible everyday circumstances, their only shot at being heroes. The friendships these men formed sustained (維持) them throughout their lives.
請閱讀以下求書者的信息,然后匹配他們所要尋找的書籍:
1. Tom is looking for a book about the hiking stories to help him in his following outdoor activities.
2. Kate wants to find a book about the stories of the soldiers during World War II. .
3. Mark wants to research into the history of technological development.
4. Jack is researching into education in a college. He is especially interested in the teaching methods. He wants to find a book which can tell him something about how to teach students from different backgrounds.
5. John wants to find some materials about the soldiers in Vietnam War to carry on his new research.
求書者 書籍
1. Tom A. I Am a Pencil
2. Kate B. Between a Rock and a Hard Place
3. Mark C. Our Brother's Keeper
4.Jack D. The All Americans
5. John E. Copies in Seconds
F. State of Grace
高中英語教學中教師常常遇到授課的語言問題:應該只用英語,還是英語、漢語兼用?你校學生會就此對全校學生做了調查。很設你叫李剛,請結合下表調查結果用英語給你的英國筆友Peter 寫一封電子郵件,并發表你自己的觀點。信的開頭和結尾已給出,不計入總詞數。
注意:
1.不要逐句翻譯,可適當增加細節,使行文連貫;
2.詞數100左右。
參考詞匯:strengthen 增強
Dear Peter,
Is everything going well? Recently the Students’ Union of our school has done a survey on whether English classes should be taught in English only or in both English and Chinese. Now, I’m writing to tell you about it.
Looking forward to your reply.
Yours,
Li Gang
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:∵,∴
在區間
上恒成立,即
在區間
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:∵在區間
上是增函數且
,∴其反函數
在區間上
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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