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（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。

已知命題“若函數在是增函數，則”，則下列結論正確的是

A．否命題是“若函數在是減函數，則”，是真命題

B. 逆命題是“若，則函數在是增函數”， 是假命題

C. 逆否命題是“若，則函數在是減函數”， 是真命題

D. 逆否命題是“若，則函數在不是增函數”， 是真命題

（本題14分）設

（1）當時，求在處的切線方程；

（2）當時，求的極值；

（3）當時，求的最小值。

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
【小題1】 Tom                  A. I Am a Pencil
【小題2】 Kate                  B. Between a Rock and a Hard Place    
【小題3】 Mark                   C. Our Brother's Keeper
【小題4】Jack                   D. The All Americans
【小題5】 John                   E. Copies in Seconds
F. State of Grace

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