题目列表(包括答案和解析)
关于力的说法中正确的是( )
A.力可以离开施力物体或受力物体而独立存在 B.对于力只需要说明其大小,而无需说明其方向
C.一个施力物体只能有一个受力物体 D.一个受力物体可以有几个施力物体
请阅读以下相关的职业或兴趣爱好:
| A.The person works in a hospital emergency room. His/her job is to assist doctors to rescue patients who are seriously ill. |
| B.The person likes sports activities the most. For him/her, having sports activities is very interesting. |
| C.The person works for himself/herself at home. He/She writes for others. |
| D.The person doesn’t like other things such as gardening. But he/she really likes music, especially classical music. |
请阅读以下相关的职业或兴趣爱好:
A.The person works in a hospital emergency room. His/her job is to assist doctors to rescue patients who are seriously ill.
B.The person likes sports activities the most. For him/her, having sports activities is very interesting.
C.The person works for himself/herself at home. He/She writes for others.
D.The person doesn’t like other things such as gardening. But he/she really likes music, especially classical music.
E. The person likes collecting all kinds of things, such as baseball cards and stamps.
F. Many people may like collecting things, such as collecting cards or stamps. But he/she likes reading very much.
请阅读以下个人信息,然后匹配与他们相关的职业或兴趣爱好:
1. Mary: I never used to like stamp collecting. I read almost everything I can: books, magazines, newspapers. I go to the public library about twice a week. If you’d like to send me something, maybe books are my favorite.
2. Tom: My wife says I should take up gardening. We have a big garden and she loves working in it. But the truth is, it bores me. My friends and my wife think I’m really boring, because I’m always listening to music. I go to concerts all the time. I love Mozart and all that classical staff.
3. Mike: I don’t really like video games and that sort of things. I prefer being outdoors, hiking or playing sports. I always go out with my family playing baseball and stuff all the time. I think most sports are pretty interesting.
4. Lisa: I’m a free writer, and a lot of people think my job is easier because I don’t have to go to the office every day. And I don’t have to deal with office politics. But, you know, my job is very hard. I have to be very organized and much disciplined. And pretty self-motivated. And when I have a problem, there is no one around to help me.
5. Victor: My life is very stressful. In my working place, everyone is in a hurry and under tremendous pressure. The doctors are demanding, and there is always too much to do to save a dying patient.
下面一篇文章,请将标有A~G的句子或段落插入文章中标号1~5的合适位置,使这篇文章意义完整,结构连贯;其中有两个选项是多余的。
Soccer is played by millions of people all over the world, but there have only been a few players who were really great.[1]________
Firstly, these players came from places that have had famous stars in the past-the players that a young boy can look up to and try to imitate.[2]________ There has never been a great national team, or a really great player, from North America or from Asia.
[3]________
Finally, many great players came from the same kind of neighborhood(地方), a poor, crowded area where a boy’s dream is not to become a doctor, lawyer, or businessman, but to become a rich, famous athlete or entertainer(演员).[4]________.And George Best learned the tricks that made him famous by bouncing(使球跳)the ball off a wall in the slums(贫民窟)of Belfast.
All great players have a lot in common, but that doesn’t explain why they are great.Hundreds of boys played in those Brazilian streets, but only one became Pele.[5]________
A.For example, Liverpool, which produced the Beatles, had one of the best English soccer teams in recent years.Pele practiced in the street with a “ball” made of rags(破布).
B.Secondly, all these players have had years of practice in this game.Alfredo Di Stefano was the son of a soccer player, as was Pele.Most players begin playing the game at the age of three or four.
C.How did these players get that way, was it through training and practice, or were great players “born, not made”?
D.Those players all had very hard, or rather painful time practicing in an unknown team, even alone.
E.The greatest players are born with unique(独一无二的)quality that sets them apart from all the others.
F.In the history of soccer, only six countries have ever won the World Cup, three from South America and three from Western Europe.
G.There have been several countries from North America and Europe, which have ever won the World Cup.
阅读下面短文,从每题所给的四个选项(A、B、C和D)中,选出最佳选项,并在答题卡上将该项涂黑.
Sam Higgins was a famous photographer, He traveled all over the world, taking photo-graphs for magazines and newspapers. His photographs won many prizes and he earned a lot of money.
“I'll do anything to get a good photograph.” he often said. “I'll go anywhere at any time, even if it is dangerous.”
And he spoke the truth. He had photographs of earthquakes, forest fires, floods, even wars. If something interesting happened, Sam went to photograph it.
He was a married man and his wife often asked him to take her with him, but he always refused.
“I travel for my work, not for pleasure, ”he told her. “You won't enjoy yourself, and I won't have time to look after you. Sometimes there's not even anywhere to stay and I have to sleep outside. I often don't have a good meal or a bath for days. You won't like it.”
“Sam, I'm not a child, ”his wife argued. “I can look after myself. Please, take me with you next time you go abroad.”
Sam did not say anything but he thought about it, and when he was asked to Africa he said. “You can come to Africa with me if you want to. I'll go to take photographs of the wildlife(野生动物)there. It should be interesting and not too uncomfortable. We'll be staying with a ranger(森林或公园管理员).”
His wife was very excited, and at first she had a very enjoyable time.
Then Sam went off to find some lions to photograph. His wife went with him, but before long they became separated. They came to a fork(岔口)in the path, and she walked down one path while he walked down the other.
Then Sam heard her screaming(尖叫). He ran back to the fork in the path and saw her running toward him. A huge lion was chasing(追赶)her.
Quickly Sam took his camera out of its case(盒子)and pointed it at his wife and the lion.
Then he shouted, “Slow down, woman. I can't get you both in the picture.”
1.Sam Higgins ________.
[ ]
A.enjoyed traveling
B.was a professional photographer
C.appeared in many magazines
D.took only dangerous photos
2.When Sam Higgins traveled all over the world, ________
[ ]
3.Mrs. Higgins wanted ________.
[ ]
4.What did Mrs. Higgins find?
[ ]
1.解析:
,故选A。
2.解析:抽取回族学生人数是
,故选B。
3.解析:由
,得
,此时
,所以,
,故选C。
4.解析:∵
∥
,∴
,∴
,故选C。
5.解析:设公差为
,由题意得,
;
,解得
或
,故选C。
6.解析:∵双曲线
的右焦点到一条渐近线的距离等于焦距的
,∴
,又∵
,∴
,∴双曲线的渐近线方程是
,故选D.
7.解析:∵
、
为正实数,∴
,∴
;由均值不等式得
恒成立,
,故②不恒成立,又因为函数
在
是增函数,∴
,故恒成立的不等式是①③④。故选C.
8.解析:∵
,∴
在区间
上恒成立,即
在区间
上恒成立,∴
,故选D。
9.解析:∵卷.files/image084.gif)
卷.files/image346.gif)
,∴此函数的最小正周期是
,故选C。
10.解析:如图,∵正三角形
的边长为
,∴
,∴
,又∵
,∴
,故选D。
11.解析:∵
在区间
上是增函数且
,∴其反函数
在区间上
是增函数,∴卷.files/image121.gif)
卷.files/image125.gif)
,故选A
12.解析:如图,①当
或
时,圆面
被分成2块,涂色方法有20种;②当
或
时,圆面
被分成3块,涂色方法有60种;
③当
时,圆面
被分成4块,涂色方法有120种,所以m的取值范围是
,故选A。
13.解析:将
代入
结果为
,∴
时,
表示直线
右侧区域,反之,若
表示直线
右侧区域,则
,∴是充分不必要条件。
14.解析:∵
,∴
时,
,又
时,
满足上式,因此,
。
15.解析:设正四面体的棱长为
,连
,取
的中点
,连
,∵
为
的中点,∴
∥
,∴
或其补角为
与
所成角,∵
,
,∴
,∴
,又∵
,∴
,∴
与
所成角的余弦值为
。
16.解析:∵
,∴
,∵点
为
的准线与
轴的交点,由向量的加法法则及抛物线的对称性可知,点
为抛物线上关于轴对称的两点且做出图形如右图,其中
为点
到准线的距离,四边形
为菱形,∴
,∴
,∴
,∴
,∴
,∴向量
与
的夹角为
。
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)∵三科会考不合格的概率均为
,∴学生甲不能拿到高中毕业证的概率
;……………………理6文8分
(Ⅲ)∵每科得A,B的概率分别为
,∴学生甲被评为三好学生的概率为
。……………………12分
19.(12分)解析:(Ⅰ)∵
,∴
,
,
,……………3分
(Ⅱ)∵
,∴卷.files/image484.gif)
,
∴
,卷.files/image490.gif)
卷.files/image486.gif)
又
,∴数列
自第2项起是公比为
的等比数列,………………………6分
∴
,………………………8分
(Ⅲ)∵
,∴
,………………10分
∴
。………………………12分
20.解析:(Ⅰ)∵
∥
,
,∴
,∵
底面
,∴
,∴
平面
,∴
,又∵
平面
,∴
,∴
平面
,∴
。………………………4分
(Ⅱ)∵
平面
,∴
,
,∴
为二面角
的平面角,………………………6分
,
,∴
,又∵
平面
,
,∴
,∴二面角
的正切值的大小为
。………………………8分
(Ⅲ)过点
做
∥
,交
于点
,∵
平面
,∴
为
在平面
内的射影,∴
为
与平面
所成的角,………………………10分
∵
,∴
,又∵
∥
,∴
和
与平面
所成的角相等,∴
与平面
所成角的正切值为
。………………………12分
解法2:如图建立空间直角坐标系,(Ⅰ)∵,
,∴点
的坐标分别是
,
,卷.files/image560.gif)
,∴
,
,设
,∵
平面
,∴
,∴
,取
,∴
,∴
。………………………4分
(Ⅱ)设二面角
的大小为
,∵平面
的法向量是
,平面
的法向量是
,∴
,∴
,∴二面角
的正切值的大小为
。………………………8分
(Ⅲ)设
与平面
所成角的大小为
,∵平面
的法向量是
,
,∴
,∴
,∴
与平面
所成角的正切值为
。………………………12分
21.解析:(Ⅰ)设抛物线方程为
,将
代入方程得卷.files/image600.gif)
所以抛物线方程为
。………………………2分
由题意知椭圆的焦点为
、
。
设椭圆的方程为
,
∵过点
,∴
,解得,
,
,
∴椭圆的方程为
。………………………5分
(Ⅱ)设
的中点为
,
的方程为:
,
以
为直径的圆交
于
两点,
中点为
。
设
,则卷.files/image632.gif)
∵
………………………8分
∴卷.files/image638.gif)
………………………10分
当
时,
,
,
此时,直线
的方程为
。………………………12分
22.(12分)解析:(Ⅰ)∵
是偶函数,∴
,
又∵
∴
,
,………………………2分
由
得,
,
∵
时,
;
时,
;
时,
;∴
时,函数
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