一 : 陕西省勉县一中2011初中招生数学试题
陕西省勉县一中2011初中招生数学试题（卷）
第（ ）试场 姓名：（ ） 考号：（ ） 毕业学校：（ ） 一：填空（24分，每空1分）(2为平方)
1. 3升50毫升=（ ）毫升 0.025吨=（ ）千克 4000厘米2=（ ）米2 0.08公顷=（ ）米
2. 按规律填数
1,4,9,16,25,36,49，（ ），81,100. 3,6,9,15,24,39,63，（ ），165,267.
3. 观察下面算式的规律，再填出后面两个算式的积
3×4=12
33×34=1122 333×334=111222 3333×3334=（ ）
333333×333334=（ ）
4. 旅游景点的缆车从山下运游客到山顶，再从山顶运旅客到山下，往返第28次缆车停在（
），往返第49次缆车停在（ ）。
5. 甲数是a，乙数是甲数的3倍，甲数与乙数的和是（ ），甲数与乙数的差是（ ）
6. 用小棒摆成正方形：``````，摆9个正方形要用（ ）根小棒，摆n个正方形要用（ ）根小棒。
7. 用正方体搭成一个立体图形，从上面和正面看都是右边图形，正方体的个数最多（ ）个，最少（ ）个。
8. 从下面四根小棒里选三根围成三角形,这个三角形的周长是（ ）厘米，
或者是（ ）厘米。
9. 摸到红球的可能性是1/3，（ ）个红球（第一个箱子），
摸到红球的可能性是1/5，（ ）个
白球（第二个箱子）。
10.
如图，小齿轮共有25个齿，大齿轮共有200个齿，小齿
轮和大齿轮的齿数比是1：（ ）。大齿轮每分钟转30转，小齿轮每分钟转（ ）转。
11. V=1/3sh表示圆锥的体积公式。当V一定时，S和h成（ ）关系。
当S一定时，V和h成（ ）关系。 二：判断（对的画“”，错的画“”。每小题1分，6分）
1.
2.
3.
4.
5.
6. 小于0.9大于0.7的小数有无数个。 【 】 长方形的周长一定，长与宽成反比例关系。 【 】 女职工的人数是男职工的1/3，女职工人数占职工总数的20%。 【 】 两个正方形的周长比是1:4，面积比是1:8. 【 】 一套衣服打六折卖240元，降价160元。 【 】 能被2,3,5整除的最大三位数是960。 【 】 三：选择：把正确的答案的序号填在题后的括号里（每小题2分，12分）
1. 根据2.5×4.8=12判断下面三个算式中，计算错误的是【 】
A 0.25×0.048=0.012 B 1.2÷0.25=0.48 C 0.12÷0.048=2.5
2. 一个三角形的两个内角之和小于90°，这个三角形是【 】
A 钝角三角形 B 直角三角形 C 锐角三角形
3. 三个连续自然数的平均数是35，其中较大的数是【 】
A 5的倍数 B 7的倍数 C 9的倍数
4. 甲、乙两数的和120，甲数与乙数的比是2:3，甲数是【 】
A 72 B 48 C 24
5. 同样质量同样价钱的饮料，谁家卖的便宜【 】
A 买3盒送1盒 B 买8盒送3盒 C 买5盒送2盒
6. 下面的图形中，哪一个不是正方体的展开图【 】
A
B
C 四：操作（8分）（由此题无法再电脑上完成，想要了解图像者联系QQ）
1. 把图A向右平移10格，再向下平移4格，然后以0点为中心，顺时针旋转
180°得到图B。请你画出图B。（4分）
2. 左边的每个小方格代表1Cm2，画一个面积是12Cm2的三角形，这个三角形
是轴对称图形。（4分）
五：计算（30分）
1. 直接写得数（每题1分，12分）
4.06－2.95 0.98×101 0.8×0.25 5/6－3/4 0.5÷4/5 100÷800 304×75 1092÷39 4/9÷4/7×9/14
(5.1＋6.8) ÷1.7 48×(3/4－1/6) 0.79×99＋0.79
2. 解方程（每题2分，6分）
288＋48x＝312 126÷9x=350 75%x÷3/5=20
3. 混合运算（每题2分，8分）
①67.6÷（51.7－34.8）÷4/7 ②32.4－﹙1.76＋0.49﹚×4.8 ③144×﹙2/9＋7/12﹚×3/4 ④150÷[5－﹙0.5＋1/3﹚]
4. 求阴影部分的面积（4分）
六：应用题（每题4分，20分）
1. 妈妈体重是60千克，小明的体重是妈妈的2/3，又是爸爸的5/8，爸爸的体
重是多少千克？
2. 甲、乙两地相距300千米。快车和慢车分别从两地同时开出，相对而行，经
过2.5时相遇。快车每小时行68千米，慢车每小时行多少千米？
3. 修一条公路，已经修了全长的3/5，如果再修40千米，就修了全长的80%，
这条公路全长多少千米？
4. 如图，已知梯形的面积是42Cm2，求梯形的高。
5. 自来水厂提倡节约用水，规定每人每月用水不超过2吨，每吨2.5元。超过
规定的用水量，每吨4元。小强家5口人，本月交水费49元。本月他家一共用了多少吨水？
二 : 陕西省2011年中考英语试题及答案
2011年陕西省初中毕业学业考试
英语试卷
第Ⅰ卷（共70分）
听力部分（共20分）
笔试部分（共50分）
IV 单项选择（每题1分，共10分）
本题共有10个小题，请从每个小题的四个选项中，选出一个最佳答案。[www.61k.com）
21. May I have a talk with you, sir? I’ve got important to tell you.
A. nothing B. anything C. something D. everything
22. Some students in Shanghai e-bags for several months.
A. have B. have had C. had D. will have
23. John wants to be a , so she often helps sick people in the hospital.
A. reporter B. doctor C. scientist D. cook
24. If there no buying and selling animals, there no killing in nature.
A. is, will be B. will be, will be C. is, is D. will be, is
25. Driving after drinking wine
A. allows
A. hard A. hardly A. invented D. ordered
A. where
30. Anyone who sings well can A. take part in B. take off C. take out D. take care of
V 完形填空（每题1分，共10分）
阅读下面一篇短文，理解大意，然后从各小题的四个选项中选出一个最佳答案，使短文连贯
完整。
In a small town in France, there was a farmer who lived alone. Every day, he 31 a
pound of butter to his neighbour, who was a baker. One day the baker decided to the
butter to see if he was getting a pound. After he weighed it, he found that he wasn’t. The baker
then took 法官).
The judge asked the farmer if he had any way to weigh the butter. The farmer replied, “I’m so
34 that I do not have enough money to buy anything to weigh it, 35 I do have a kind of scale(天平).” The judge asked, “Then how do you weigh the butter?” The farmer replied, “Before the baker started buying butter from , I have bought bread from him. So now every time when I bring home the bread from the baker, I put it on the scale and give him the butter the same weight.
We what we give to others in life. Whenever you take action, ask yourself this “ Am I honest?” Honesty or dishonesty can become a 39 . Some dishonest people can lie(说谎) without a red face. Others lie so much that do not even what the truth is any more. But who is it bad for? As a matter of fact, those who lie will hurt themselves by their own dishonest behaviour.
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2011陕西中考英语 陕西省2011年中考英语试题及答案
31. A. gave B. fed C. threw D. sold
32. A. weigh B. watch C. cut D. use
33. A. / B. a C. an D. the
34. A. rich B. poor C. honest D. quiet
35. A. and B. so C. but D. or
36. A. I B. my C. me D. mine
37. A. get back B. look back C. give back D. turn back
38. A. answer B. question C. help D. idea
39. A. difference B. habit C. mistake D. difficulty
40. A. study B. mean C. imagine D. know
IV 阅读理解（每题2分，共30分）
第一节：阅读下面一篇短文，判断下列句子是否符合短文内容，符合的用“A”表示，不符合的用“B”表示。[www.61k.com)
A
Clean water is not only important for people to produce food, but necessary for our life. However, many people in Asia and Africa don’t have enough clean water to use. The World Health Organization reports that almost 4,000 children die each day of dirty water or lack(缺乏) of water.
Farmers use 70-85% of the water fresh water to produce food. People usually don’t pay much attention to how much water industry (工业) uses, but you may be surprised to know that industry uses 59% of the water in developed countries.
Home use takes up (占据) only 8% in the world. But , more water will be used. The local government has to try to make people use less water.
second use.
The US Environmental Protection a waste saving program to encourage families and businesses to check their waste use and Scientists and the UN are looking for good water our daily life.
41. In developed countries, most water is used by industry.
42. People in Asia have enough clean water to use.
43. To save water, Australians and Europeans both choose to recycle water for a second use.
44. According to the passage, scientists have found good ways to deal with water problems.
45. Home use of water will increase because of the growing cities.
第二节 阅读B、C、D三部分内容，从各小题所给的四个选项中选出能回答所提问题或完成所给句子的一个最佳答案。
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2011陕西中考英语 陕西省2011年中考英语试题及答案
46. Which of the following is TRUE to Shanghai Disneyland?
A. A 10-kilometre-long river goes in the middle of the park.
B. There will be many Chinese characters.
C. It is the same as others.
D. It opened five years ago.
47. In order to keep the road safe, European Commission wants to A. make buses and taxis go slowly
B. fit buses and taxis with “black boxes”
C. make the police find out what happened
D. find out what “black boxes” can do
48. The robots will in the UK hospital.
A. carry medical rubbish B. give out newspapers
C. cook dinner D. water flowers
49. TV station and newspapers buy the holes because
A. the roads have been broken badly
B. they want to have their own holes.
C. they want to make more money.
D. the government doesn’t have enough money.
Rock climbing(攀岩for fun.
If you’ve ever done rock climbing, that it is not a very easy sport. Indoor and outdoor rock climbing both need practice. What most people don’t know is that rock climbing is one of the sports that depend on your body and mind(意志).
To climb successfully, one must use wonderful skills. One of the important rules is to always have three parts of your body on the rock face. Another important rule is that your arms only hold you close to the rock face while your legs are pushing you up. The closer you are to the rock face, the easier it is to climb.
Rocking climbing is a wonderful sport. Once you start to learn how to climb, you will find more fun. People who like games such as chess playing or problem-solving may love rock climbing, because they are nearly the same in the way of thinking. For anyone who wants to get into beautiful shape, rock climbing is a fun and good way. Anyone who enjoys a different game and loves the outdoors should think of taking rock climbing as a new hobby.
50. When did rock climbing become a sport？
A. In 1900. B. Early in the 1900s. C. In the middle of the 1900s. D. Late in the 1900s.
51. The chess player may like rock climbing because .
A. they’d like to get into beautiful shape. B. it’s more interesting than chess playing
C. it is like chess playing in the way of thinking D. they really like to do sports
52. What can we learn from the passage？
A. Rock climbing is a kind of indoor and outdoor activity.
B. Rock climbing is a very easy sport.
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2011陕西中考英语 陕西省2011年中考英语试题及答案
C. When you climb, your arms push you up.
D. The closer you are to the rock face, the more difficult it is to climb.
D
How do you pay for things？Do you usually use cash(现金), or do you like to pay by credit card(信用卡)? If you are like a lot of people, you probably have at least one credit card. Also, you might use it more often than you probably should.
Credit card first became popular in the 1920s. At that time, businesses, such as hotels and companies, gave credit cards to their best customers(顾客). Unlike today’s credit cards, customers could only use these cards at the store or business that gave out the card. Customers had to pay for the things in full. They couldn’t pay for something a little at a time.
In 1950s, a businessman named McNamara started a credit card company —Diners Club. Unlike earlier credit cards, this card is could be used by customers at many restaurants, Customers liked the card because they didn’t have to carry a lot of cash with them. Restaurant owners liked the card, too. Why？They found out that customers usually spent more money when they could pay by credit card.
In its first year of business, Diners Club Club could use them at 27 different restaurants. Today, Diners Club has about 8 million customers, and they can use their cards in over 7.6 million businesses in more than 200 countries.
53. What can we know about the earlier credit cards from the passage?
A. They could be used everywhere.
B. Customers have to pay for things in full.
C. They were very popular before the 1920s.
D. Everyone could get this kind of credit card.
”.
A. showed B. took
55. This passage is mainly about .
B. how to use cash
D. how credit cards help businessmen
第II卷
VII 完成句子（每题1分，共5分）
根据所给中文意思，完成下面各句。(www.61k.com］
56. 他性格外向，喜欢交朋友。
He is outgoing and likes .
57. 每天放学后，我们可以散散步来放松自己。
We can to relax ourselves after school every day.
58. 日本大地震后，世界各地的人们给予了很大的帮助。
When the big earthquake hit Japan, people helped a lot.
59. 在去电影院的路上，他听到了这个消息。
He heard the news to the cinema.
60. 由于“世园会”的举办，西安今年会迎来更多的游客。
Because of the “Expo”, more will come to Xi’an this year.
VIII 短文填空（每题1分，共10分）
用方框中所给单词的适当形式填空，使短文完整正确。（每个单词限用一次）
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2011陕西中考英语 陕西省2011年中考英语试题及答案
One day, while I was sitting in my car in a parking area, I noticed a young boy in front of my car. “What is the boy doing？” I asked myself and looked closely. “Oh, he is 61.up a coin from the ground.” When he 62. up, we saw each other 63. He was not 64. than ten and was wearing one blue glove (手套) and one brown glove. His coat was too 65. for him.
, which were too old to wear. I rolled down my window and called him over.
some money. He replied, “No. That’s okay.”
were cold because he kept moving his weight from one foot to the other.
“Please,” I held out a five-dollar bill(钞票). “It’s not much, but when this money is shared, it’s much more
69. ” I said.
He took off one of his gloves and took the money from my hand. His small hand was red and cold.
He smiled and went away after saying “Thank you!” to me. The smile made me warm in the cold winter.
IX 任务型阅读
阅读下面短文，根据短文内容，完成下面各题。[www.61k.com)（每题2分，共10分） Bollywood，the Hollywood of India
Y, and that number continues to grow. Just as the movies capital is Bombay(孟买结合) of the words Bombay and Hollywood.
dances mean.
Bollywood may be different from but it is very like Hollywood in several ways. If Tom actresses catch the headlines(头版头条), just as they do in the United States.
The Oscars are a very interesting time of the year for actors and actress in America. Bollywood has its own form of the Oscars, and they are also very exciting.
71. The name Bollywood comes from the words .
72. Bollywood is a place where many are made each year.
73. In India, the film stars are sometimes popular than music director. 74. Every complete Bollywood movie has a few in them.
75. The Oscar in India are as as those in America though they are different.
X 补全对话（每题1分，共10分）
A）根据对话内容，将方框内符合对话语境的句子抄写在对话空白处，使对话恢复完整，选项中有两项是多余的。
It is the Lantern Festival(元宵节) today. Lin Jie comes to see his American friend Jim.
Jim: Hi, Linjie. Nice to see you.
Jim: Sweet dumplings? 77. . I know people eat them on the Lantern Festival.
Linjie: How great you are! 78.
５ Jim: Well, on the day people will watch lantern shows at night and guess the riddles on the lanterns. This festival is on the 15th of the first lunar(农历) month. It is handed down from T
2011陕西中考英语 陕西省2011年中考英语试题及答案
Linjie: So glad to hear that! I am proud of you. Now it’s time to cook the delicious food.
80.
B) 根据下面对话中的情境，在每个空白处填入一个适当的语句，使对话恢复完整。（www.61k.com）
A: Good afternoon, Tom. Where are you going?
B: 81.
A: Oh, to buy books? You are out! Why not go to the Reader’s Room?
B: The Reader’s Room? 82.A: It is a place where students can exchange(交换) their old books with others.
A: It’s next to Renmin Hospital, across from the City Park. B: Oh, it’s a little far. 84. A: You can take No. 7 bus.
B: How long does it take?
B: T
XI 书面表达（共15分）
你年级决定本周日进行一次外出活动（, 请你负责将此消息传达给来自英国的交换生。 要求：1. 参考提示语，可适当发挥；
2.
3. 4. 词数：60—80词。
提示语：walk to Fenghuang Mountain, 10 kilometers away, hard but exciting, the whole day, keep safe, behave, things to take(food, drinks…)
Hello everyone!
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2011陕西中考英语 陕西省2011年中考英语试题及答案
Thank you!
2011年 陕西省中考英语试题 答案
选择题
第II卷 VII 完成句子
56. making friends/to make friends
57. go for a walk/ take a walk/ walk
59. on his(the) way
60. visitors /tourists/ travel(l)ers
VIII 短文填空
61. picking 62. stood 63. clearly 66. shoes 67. needed 68. feet 69. useful 70. feel IX 任务型阅读
71. Bombay and Hollywood 72. films/movies 73. less
74. songs and dances/ dances and songs 75. exciting X 补全对话
A） 76. Here are some sweet dumplings for you. 77. Wow, thanks.
78. What else do you know about this festival? 79. You know I really love Chinese culture.
80. I hope you will like it.
B）81. I’m going (to the store) to buy some books/I’m going to the bookstore/To buy books/To the book store(book shop).
82. What(place) is it/ What is the Reader’s Room? 83. Where is it?
84. How can I get (go) there/Which bus can I take?
85. It takes ten minutes (to get there)/About ten minutes /ten minutes
７
That’s all.
2011陕西中考英语 陕西省2011年中考英语试题及答案
XI 书面表达
One possible version:
Hello, everyone!
May I have your attention, please? Have you ever had a hard but exciting trip? Now I’ve got good news to tell you. This Sunday, we are going to have a school trip like this. We’ll walk to Fenghuang mountain. It’s about ten kilometers away for our school. As we’ll be away for the whole day, please remember the following things. Take enough food and drinks with you and wear comfortable shoes. The most important thing is to keep safe and behave yourselves on the way. I think we’ll have a nice trip.
That’s all.
Thank you！
2011年陕西省中考英语试题听力文稿
I 听句子，选答语
本题共有5个小题，每个小题你将听到一句话，请从所给的三个选项中选出一个最恰当的答语。[www.61k.com)
1. Try your best, please.
2. I am going to a party tonight.
3. How do you like my new T-shirt?
4. This is my good friend.
5. I can not watch TV on school days.
II. 听对话，选答案
本题共有10个小题，请根据每段对话的内容和后面的问题，从所给的三个选项中选出最恰当的一项。
6. M: You look so nice in green, Mary.
W: Thank you. But red is my favourite.
Q: What color does Mary like best?
7. .
Q: Where is the boy’s phone now?
8. M: I called you this morning but you didn’t answer.
W: I was doing some washing and didn’t hear it.
Q: What was the woman doing?
9. M: Nice weather! Linda, would you like to go shopping with me?
W: Great，dad! I’m going to buy a gift for a friend.
Q: Who does Linda want to buy a gift for?
10. M: My grandpa is 80, but he still takes exercise every day.
W: That’s why he looks healthy.
Q: How does his grandpa keep healthy?
11. M: Have Nick and Sarah left?
W: Not yet. Nick says he’d like to leave next Thursday, but Sarah wants to leave next Saturday.
Q: When does Nick want to leave?
12. M: Hello, Alice. You look so happy. Anything exciting?
W: Yes. I’m a member of our school football team now.
Q: What team is Alice on?
13. M: What beautiful birds! I think you can buy one.
W: But look at the price! I can’t afford it. I’d like some gold fish instead.
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2011陕西中考英语 陕西省2011年中考英语试题及答案
Q: Why doesn’t the woman want to buy a bird?
14. M: Look at the dark clouds! There is going to be a heavy rain.
W: Oh, dear, let’s go back home.
Q: How is the weather now?
15. M: Reading a book?
W: No. I’m writing a letter, but I don’t know how to spell some words.
M: Why not use a dictionary?
W: But I haven’t got a dictionary. I’ll borrow one.
Q: What will the woman borrow?
III 听短文，选答案
本题你将听到一篇短文，读两遍，请从每个小题的三个选项中，选出一个正确答案。[www.61k.com］
In Western countries, many children do chores to get money. They usually start to do this at the age of 10. School students have to do homework and study for exams. They don’t have free time from Monday to Friday. So they do chores only on weekends.
Younger kids only do chores. So they don’t get much money. But that’s OK. Many of them only want to buy candy. And candy is cheap! They help do the dishes after the dinner, and feed the family cat or dog.
When they get older, kids want to buy more things. They want things that are more expensive than candy. Then they have to work harder! They often wash the family car, cut the grass, walk the dog or cook dinner.
cook. Of course, their parents help them at first.
I. 听句子，选答语
本题共有5
1. A. I am sorry B. OK. I will
2. A. That’s all right! B. Y C. Have fun!
3. A. Here it is. C. That sounds good
4. A. Nice to meet you. C. I’m sorry to hear that.
5. A. Me, too. B. Y C. I can’t, either.
II. 听对话，选答案
本题共有10个小题，每个小题你将听到一段对话和一个问题，读两遍，请根据每段对话的内容和后面的问题，从所给的三个选项中选出最恰当的一项。
6. A. Green B. Red C. Blue
7. A. On the table B. On the floor C. In his bag
8. A. She was making a phone call. B. She was doing some washing.
C. She was listening to music.
9. A. For her friend B. For herself C. for her father
10. A. He is old. B. He takes exercises. C. He is young
11. A. This Saturday B. Next Friday. C. Next Thursday.
12. A. Basketball team B. Baseball team C. Football team
13. A. It’s expensive B. It’s cheap C. It’s beautiful
14. A. It’s rainy B. It’s windy C. It’s cloudy.
15. A. A book B. A dictionary C. A computer
III 听短文，选答案
本题你将听到一篇短文，读两遍，请从每个小题的三个选项中，选出一个正确答案。
16. When do children in Western countries usually start to do chores to get money?
A. When they’re 6 B. When they’re 10 C. When they’re 12
17. Children do chores only on weekends because .
９
2011陕西中考英语 陕西省2011年中考英语试题及答案
A. they have to study from Monday to Friday.
B. they want to play from Monday to Friday
C. they have nothing to do on weekends
18. Which of the following do younger kids often do?
A. Cook dinner for family B. Cut grass C. Feed the family cat or dog
19. Older kids have to do more chores to A. give the younger ones more candy B. get more money C. have more candy
20. The writer wants to tell us that .
A. getting money is not easy. B. doing chores takes time C. doing chores is good for kids.
１０
三 : 2011年江西省中考数学试卷及答案
2011江西中考 2011年江西省中考数学试卷及答案
2011江西中考 2011年江西省中考数学试卷及答案
2011江西中考 2011年江西省中考数学试卷及答案
2011江西中考 2011年江西省中考数学试卷及答案
2011江西中考 2011年江西省中考数学试卷及答案
2011江西中考 2011年江西省中考数学试卷及答案
2011江西中考 2011年江西省中考数学试卷及答案
2011江西中考 2011年江西省中考数学试卷及答案
2011江西中考 2011年江西省中考数学试卷及答案
2011江西中考 2011年江西省中考数学试卷及答案
2011江西中考 2011年江西省中考数学试卷及答案
四 : 2011江西中考数学试题 24
江西省2011年初中毕业暨中等学校招生考试
一、选择题（本大题共8个小题，每小题3分，共24分） 1.下列各数中，最小的是（ ）.
A. 0 B. 1 C.－1 D.
2.根据2010年第六次全国人口普查主要数据公报，江西省常住人口约为4456万人.这个数据可以用科学计数法表示为（ ）.
A. 4.456×10人 B. 4.456×10人 C. 4456×10人 D. 4.456×10人 3.将两个大小完全相同的杯子（如图甲）叠放在一起（如图乙），则图乙中的实物的俯视图是（ ）.
A.
B.
4.下列运算正确的是（ ）.
C.
D.
7
6
4
3
图乙 图甲
A.a+b=ab B. a2·a3=a5 C.a2+2ab－b2=(a－b)2 D.3a－2a=1
5.已知一次函数y=x+b的图象经过第一、二、三象限，则b的值可以是( 第 ). 3题 A .－2 B.－1 C. 0 D. 2
6.已知x=1是方程x2+bx－2=0的一个根，则方程的另一个根是( ). A .1 B.2 C.－2 D.－1
7.如图，在下列条件中，不能证明△ABD≌△ACD的是（ ）. ．．
第7题 C.∠B=∠C，∠BAD=∠CAD D. ∠B=∠C，BD=DC 8.时钟在正常运行时，分针每分钟转动6°，时针每分钟转动0.5°.在运行过程中，时针与分针的夹角会随着时间的变化而变化.设时针与分针的夹角为y(度)，运行时间为t(分)，当时间从12︰00开始到12︰30止，y与 t之间的函数图象是（ ）. y(度)(度)度)(
度
A.BD=DC， AB=AC B.∠ADB=∠ADC，BD=DC
A.
)
B.
)
C.
)
D.
)
二、填空题（本大题共8小题，每小题3分，共24分） 9.计算：－2－1=__________. 10.因式分解：x-x=______________.
11.
函数y?x的取值范围是 .
?2x?y?5,
12.方程组?的解是
x?y?7?
3
A
第13题
C
.
13.如图，在△ABC中，点P是△ABC的内心，则∠PBC+∠PCA+∠PAB=__________度.
14.将完全相同的平行四边形和完全相同的菱形镶嵌成如图所示的图案.设菱形中较小角为x度，平行四边
形中较大角为y度，则y与x的关系式是 .
15.如图，△DEF是由△ABC绕着某点旋转得到的，则这点的坐标是__________.
16.如图所示，两块完全相同的含30°角的直角三角板叠放在一起，且∠DAB =30°.有以下四个结论：①AF⊥BC
②△ADG≌△ACF ③O为BC的中点 ④AG︰DE
4，其中正确结论的序号是 .
第14题
E
第16题
C
第15题
三、（本大题共3小题，每小题6分，共18分） 17.先化简，再求值：(
2aa?1
?
a1?
a
)?a，其中a?
1.
18.甲、乙、丙、丁四位同学进行一次乒乓球单打比赛，要从中选出两位同学打第一场比赛. （1）请用树状图法或列表法，求恰好选中甲、乙两位同学的概率.
（2）若已确定甲打第一场，再从其余三位同学中随机选取一位，求恰好选中乙同学的概率.
19.如图，四边形ABCD为菱形,已知A(0,4)，B(－3,0). （1）求点D的坐标；
（2）求经过点C的反比例函数解析式.
四、（本大题共2小题，每小题8分，共16分） 20.有一种用来画圆的工具板（如图所示），工具板长21cm，上面依次排列着大小不等的五个圆（孔），其中最大圆的直径为3cm，其余圆的直径从左到右依次递减0.2cm.最大圆的左侧距工具板左侧边缘1.5cm，最小圆的右侧距工具板右侧边缘1.5cm，相邻两圆的间距d均相等. （1）直接写出其余四个圆的直径长； （2）求相邻两圆的间距.
21.如图，已知⊙O的半径为2，弦BC的长为A为弦BC所对优弧上任意一点（B，C两点除外）. （1）求∠BAC的度数；
（2）求△ABC面积的最大值. （参考数据：sin60?
?
2
，cos30?
?
2
，tan30?
?
3
）
五、（本大题共2小题，每小题9分，共18分）
22.图甲是一个水桶模型示意图，水桶提手结构的平面图是轴对称图形，当点O到BC（或DE）的距离大于或等于⊙O的半径时（⊙O是桶口所在圆，半径为OA），提手才能从图甲的位置转到图乙的位置，这
?D，其余是线段）样的提手才合格.现用金属材料做了一个水桶提手（如图丙A-B-C-D-E-F，C-D是C，O
是AF的中点，桶口直径AF =34cm，AB=FE=5cm，∠ABC =∠FED =149°.请通过计算判断这个水桶提手是否合格.
2，tan73.6°≈3.40，sin75.4°≈0.97.）
E
图甲
图乙
图丙
23.以下是某省2010年教育发展情况有关数据：
全省共有各级各类学校25000所，其中小学12500所，初中2000所，高中450所，其它学校10050所；全省共有在校学生995万人，其中小学440万人，初中200万人，高中75万人，其它280万人；全省共有在职教师48万人，其中小学20万人，初中12万人，高中5万人，其它11万人. 请将上述资料中的数据按下列步骤进行统计分析.
（1）整理数据：请设计一个统计表，将以上数据填入表格中.
（2）描述数据：下图是描述全省各级各类学校所数的扇形统计图，请将它补充完整. （3）分析数据：
①分析统计表中的相关数据，小学、初中、高中三个学段的师生比，最小的是哪个学段？请直接写出.（师生比=在职教师数︰在校学生数） ②根据统计表中的相关数据，你还能从其它角度分析得出什么结论吗？（写出一个即可） ③从扇形统计图中，你得出什么结论？（写出一个即可）
六、（本大题共2小题，每小题10分，共20分）
全省各级各类学校所数扇形统计图
2010年全省教育发展情况统
2
24.将抛物线c1：y
=?x轴翻折，得抛物线c2，如图所示.
（1）请直接写出抛物线c2的表达式.
（2）现将抛物线c1向左平移m个单位长度，平移后得到的新抛物线的顶点为M，与x轴的交点从左到
右依次为A，B；将抛物线c2向右也平移m个单位长度，平移后得到的新抛物线的顶点为N，与x轴交点从左到右依次为D，E. ①当B，D是线段AE的三等分点时，求m的值； ②在平移过程中，是否存在以点A，N，E，M为顶点的四边形是矩形的情形？若存在，请求出此时m的值；若不存在，请说明理由.
y
备用图
25.某数学兴趣小组开展了一次活动，过程如下： 设∠BAC=?（0°＜?＜90°）.现把小棒依次摆放在两射线之间，并使小棒两端分别落在射线AB，AC上. 活动一： 如图甲所示，从点A1开始，依次向右摆放小棒，使小棒与小棒在端点处互相垂直. （A1A2为第1根小棒）
数学思考：
（1）小棒能无限摆下去吗？答： .(填“能”或“不能”) （2）设AA1=A1A2=A2A3=1.
①?=_________度； ②若记小棒A2n-1A2n的长度为an（n为正整数，如A1A2=a1，A3A4=a2，…）， 求出此时a2，a3的值，并直接写出an（用含n的式子表示）.
AB
Aa3
Aa2
a1 C A3 A5 A A1
图甲
活动二：
如图乙所示，从点A1开始，用等长的小棒依次向右摆放，其中A1A2为第一根小棒，且A1A2=AA1.
数学思考：
（3）若已经摆放了3根小棒，则?1 =_________，?2=________， ?3=________；（用含? 的式子表示） （4）若只能摆放4根小棒，求?的范围. ．．
A
A?
A3 A1
2
1
3
x
AB C
图乙
参考答案及评分意见
一、选择题（本大题共8个小题，每小题3分，共24分）
1．D 2．A 3．C 4．B 5．D 6．C 7．D 二、填空题（本大题共8个小题，每小题3分，共24分）
9.
?3
8．A
10.x?x?1??x?1? 11．x?1 12．?
x?180（或y?
?x?4,?y??3
13. 90
14．2y?
12
x?90
） 15．（0，1） 16．①②③④
三、（本大题共3个小题，每小题各6分，共18分） 17．解：原式=?
?2a?a?1
?
a11?
????a?
a?1?a?1aa?1
?
?
a
. ………………3分
2
当a?1时，原式
= …………6分
18．解：（1）方法一 画树状图如下：
第一次甲 乙 丙 丁
第二次 乙 丙 丁 甲 丙 丁 甲 乙 丁 甲 乙 丙
所有出现的等可能性结果共有12种，其中满足条件的结果有2种.
∴P（恰好选中甲、乙两位同学）=. ………4
61
方法二 列表格如下：
甲
乙 丙
丁
甲 甲、乙 甲、丙
甲、丁
乙 乙、甲 乙、丙 乙、丁
丙
丙、甲 丙、乙 丙、丁
丁
丁、甲
丁、乙 丁、丙
所有出现的等可能性结果共有12种，其中满足条件的结果有2种． ∴P（恰好选中甲、乙两位同学）=. ………………4分
61
（2）P（恰好选中乙同学）=. ………………6分
3
1
19．解：（1） ∵A(0,4),B(?3,0)， ∴OB 在菱形ABCD中，AD
（2）∵BC∥AD, BC
?3,OA?4,
∴AB
?5
.
. …………3分
?AB?5
, ∴OD?1, ∴D?0,?1?
?AB?5， ∴C??3,?5?.
?kx
设经过点C的反比例函数解析式为y
把??3,?5?代入y
?kx
.
?15
中，得：?5?
k?3
， ∴k，∴y
?
15x
. ……6分
四、（本大题共2个小题，每小题8分，共16分）
20．解：（1）其余四个圆的直径依次为：2.8cm, 2.6cm, 2.4cm, 2.2cm.………………4分 （2）依题意得，4d?1.5?1.5?3?2.8?2.6?2.4?2.2?21， ……………6分 ∴4d
?16?21 ∴d?
54
. ………………7分
答：相邻两圆的间距为cm. ………………8分
4
5
21．解：(1) 解法一
连接OB，OC，过O作OE⊥BC于点E. ∵OE⊥BC，BC=BE?EC? …1分
在Rt△OBE中，OB=2，∵sin?BOE
?BEOB
?
2
，∴?BOE
?60
?
,
2011江西中考数学试题 24_2011江西中考
∴?BOC
?120
?
，∴?BAC
?
12
?BOC?60
?
. ……4分
解法二
连接BO并延长，交⊙O于点D，连接CD
.
∵
BD是直径，∴BD=4，?DCB?90?. 在Rt△DBC中，sin?BDC
?BCBD
?4
?
2
,
∴?BDC?60?，∴?BAC??BDC?60?.………………4分
(2) 解法一
因为△ABC的边BC的长不变，所以当BC边上的高最大时，△ABC的面积最大，此时点A落在优弧BC的中点处. ………………5分 过O作OE⊥BC于E，延长EO交⊙O于点A，则A为优弧BC的中点.连接
AB，AC，则AB=AC，
?BAE?
12
?BAC?30
?
.
?
?BAE?30
?
，
在Rt△ABE
中，∵BE
∴AE?
BEtan3012
?
?
3
?3，
∴S△ABC
=
?3? 答：△ABC面积的最大值是………………8分
解法二
因为△ABC的边BC的长不变，所以当BC边上的高最大时，△ABC的面积最大，此时点A落在优弧BC的中点处. ………………5分 过O作OE⊥BC于E，延长EO交⊙O于点A，则A为优弧BC的中点.连接AB，AC，则AB=AC.
?
∵?BAC?60
, ∴△ABC是等边三角形. ………………6分
在Rt△ABE中，∵BE
?
?BAE?30
?
，∴AE?
BEtan30
?
?
3
?3，∴S△
ABC=
12
?3?.
答：△ABC面积的最大值是………………8分
五、22．解法一
连接OB，过点O作OG⊥BC于点G.………………1分 在Rt△ABO中，AB=5，AO=17，
∴ tan∠ABO=
AOAB
?175
?3.4，
∴∠ABO=73.6°，……
4分
E
图丙
∴∠GBO=∠ABC－∠ABO=149°－73.6°=75.4°.………5分
又 ∵OB???17.72，……………6分
∴在Rt△OBG中，OG?OB?sin?OBG?17.72?0.97?17.19?17.…8分
∴水桶提手合格. ……………9分
解法二 连接OB，过点O作OG⊥BC于点G. ……………1分
在Rt△ABO中，AB=5，AO=17，∴ tan∠ABO=
AOAB
?175
?3.4，
∴∠ABO=73.6°. ………………4分 要使OG≥OA，只需∠OBC≥∠ABO， ∵∠OBC=∠ABC－∠ABO=149°－73.6°=75.4°＞73.6°，……8分 ∴水桶提手合格. ………………9分
23．解：（1）2010年全省教育发展情况统计表……………3分 （2）
……………6分
小学 初中 高中 其它 合计 12500 2000 450 10050 25000 440 200 75 280 995 20 12 5 11 48
全省各级各类学校所数扇形统计图
（3）①小学师生比=1︰22， 初中师生比≈1︰16.7， 高中师生比=1︰15， ∴小学学段的师生比最小. ………7分
②如：小学在校学生数最多等. ………8分 ③如：高中学校所数偏少等. ………9分
六、24．解：（1
）y?2. ………………2分
（2
）①令2??0，得：x1??1,x2?1，
则抛物线c1与x轴的两个交点坐标为（-1,0），（1,0）.
∴A（-1-m，0），B（1-m，0）.同理可得：D（-1+m，0），E（1+m，0）.
当AD当AB
??1313AEAE
时，如图①，??1?m????1?m??时，如图②，?1?m????1?m??13
13
???1?m????1?m???
，∴m?
12
. ……4分
???1?m????1?m???
， ∴m
?2
. …………6分
∴当m?
12
或2时，B，D是线段AE的三等分点.
②存在. ………………7分 方法一
理由：连接AN、NE、EM、MA.
依题意可得：M?
?m,N?m,. 即M，N关于原点O对称， ∴OM?ON.
∵A??1?m,0?,E?1?m,0?， ∴A，E关于原点O对称， ∴OA?OE， ∴四边形ANEM为平行四边形. ………………8分 要使平行四边形ANEM为矩形，必需满足OM?OA,
即m2
????1?m?
2
2
， ∴m?1.
∴当m?1时，以点A，N，E，M为顶点的四边形是矩形. …………10分 方法二
理由：连接AN、NE、EM、MA.
依题意可得：M?
?m,N?m,. 即M，N关于原点O对称， ∴OM?ON.
∵A??1?m,0?,E?1?m,0?， ∴A，E关于原点O对称， ∴OA?OE，
∴四边形ANEM为平行四边形. ………………8分
∵AM2?(?m?1?m)2?2?4，
ME?(1?m?m)??4m?4m?4AE?(1?m?1?m)?4m?8m?4
2
2
2
2222
，
，
若AM2?ME2?AE2，则4?4m2?4m?4?4m2?8m?4，∴m?1. 此时△AME是直角三角形，且∠AME=90°.
∴当m?1时，以点A，N，E，M为顶点的四边形是矩形. …………10分
25.解: （１）能． ………………1分 （２）① 22.5°. ………………2分 ②方法一
∵A A1=A
A=A2A3=1，
AA2⊥A2A3，
∴A1A3AA3=1?.
又∵A2A3⊥A3A4 ，∴A1A2∥A3A4.
同理：A3A4∥A5A6，
∴∠A=∠AA2A1=∠AA4A3=∠AA6A5
， ∴AA3=A3A4，AA5=A5A6
∴a2=A3A4=AA3
=1?
a3=AA3+ A3A5=a2+ A3A5
. ………………3分
∵A3A52， ∴a3=A5A6=AA5=a2?2?1?. ………………4分 方法二 ∵A A1=A
1A2=A2A3=1，
A1A2⊥A2A3，
∴A1A3AA3=1?.
又∵A2A3⊥A3A4 ，∴A1A2∥A3A4.
同理：A3A4∥A5A6.
∴∠A2A3A4=∠A4A5A6=90°，∠A2A4A3=∠A4 A6A5，
∴△A2A3A4∽△A4A5A6， ∴
1a2
?
a2a3
2
，∴a3=
n?1
a21
2
?1)
2
. ………………4分
an?1?
………………5分
（３）?1?2? ………………6分
?2?3? ………………7分
?3?4? ………………8分
?
??4??90,
（４）由题意得：??
??5??90,
∴18?
???22.5
?
. ………………10分
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