題目列表(包括答案和解析)
關(guān)于力的說法中正確的是( )
A.力可以離開施力物體或受力物體而獨立存在 B.對于力只需要說明其大小,而無需說明其方向
C.一個施力物體只能有一個受力物體 D.一個受力物體可以有幾個施力物體
請閱讀以下相關(guān)的職業(yè)或興趣愛好:
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. |
請閱讀以下相關(guān)的職業(yè)或興趣愛好:
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.
請閱讀以下個人信息,然后匹配與他們相關(guān)的職業(yè)或興趣愛好:
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,請將標(biāo)有A~G的句子或段落插入文章中標(biāo)號1~5的合適位置,使這篇文章意義完整,結(jié)構(gòu)連貫;其中有兩個選項是多余的。
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(演員).[4]________.And George Best learned the tricks that made him famous by bouncing(使球跳)the ball off a wall in the slums(貧民窟)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(獨一無二的)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.
閱讀下面短文,從每題所給的四個選項(A、B、C和D)中,選出最佳選項,并在答題卡上將該項涂黑.
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(野生動物)there. It should be interesting and not too uncomfortable. We'll be staying with a ranger(森林或公園管理員).”
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(追趕)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.a(chǎn)ppeared 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(shè)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(shù),∴,∴;由均值不等式得恒成立,,故②不恒成立,又因為函數(shù)在是增函數(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)或時,圓面被分成2塊,涂色方法有20種;②當(dāng)或時,圓面被分成3塊,涂色方法有60種;
③當(dāng)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(dāng)直線經(jīng)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(shè)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(zhǔn)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(guān)于軸對稱的兩點且做出圖形如右圖,其中為點到準(zhǔn)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(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,
,,
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(shù),
對恒成立,即
………………………9分
又(當(dāng)且僅當(dāng)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(nèi)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(biāo)系,(Ⅰ)∵,,∴點的坐標(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)線與軸的交點為,過點
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