2007中考宁夏数学试卷
答案
宁夏回族自治区2007年课改实验区初中毕业暨高中阶段招生数 学 试 卷注意事项：1．考试时间120分钟，全卷总分120分．2．答题前将密封线内的项目填写清楚．3．答卷一律使用黑、蓝钢笔或圆珠笔．4．凡使用答题卡的考生，答卷前务必将答题卡上有关项目填写清楚．选择题的每小题选出答案后，用铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其他答案．不使用答题卡的考生，将选择题的答案答在试卷上．总分一二三四复核人一、选择题（下列每小题所给的四个答案中只有一个是正确的，每小题3分，共24分）1． 的相反数是（ ）A． B． C． D．22．下列运算正确的是（ ）A． B． C． D． 3．某校对1200名女生的身高进行了测量，身高在 （单位：m）这一小组的频率为0.25，则该组的人数为（ ）A．150人B．300人C．600人D．900人4．2006年国家统计局发布的数据表明，我国义务教育阶段在校学生人数共16700万人，用科学记数法表示为（ ）A． 人B． 人C． 人D． 人5．下列图形中，即是中心对称图形又是轴对称图形的是（ ）A．等边三角形B．菱形C．等腰梯形D．平行四边形6．如图， 为 的切线， 为切点， 交 于点 ， ，则 的值为（ ）A． B． C． D． 7．如图，下列选项中不是正六棱柱三视图的是（ ）8．某农场的粮食总产量为1500吨，设该农场人数为 人，平均每人占有粮食数为 吨，则 与 之间的函数图象大致是（ ）二、填空题（每小题3分，共24分）9．分解因式： ．10．计算： ．11．在一次校园朗诵比赛中，七位评委给小丽打分的成绩如下：8.6，9.7，8.5，8.6，9.6，8.6，7.2，则这组数据的中位数是 ．12．如图是弧长为 cm扇形，如果将 重合围成一个圆锥，那么圆锥底面的半径是 cm．13．一块正方形钢板上截去3cm宽的长方形钢条，剩下的面积是 ，则原来这块钢板的面积是 ．14．如图， 的半径为5，弦 是圆上一点，则 ．15．在平面直角坐标系中，点 的坐标为 ，将 绕原点 按顺时针方向旋转 得到 ，则点 的坐标是 ．16．如图，网格中的小正方形边长均为1， 的三个顶点在格点上，则 中 边上的高为 ．三、解答题（共24分）17．（6分）计算： ．18．（6分）解分式方程： ．19．（6分）解不等式组 ，并利用数据表示不等式组的解集．20．（6分） 两个口袋中，都装有三个相同的小球，分别标有数字1，2，3，小刚、小丽两人进行摸球游戏．游戏规则是：小刚从 袋中随机摸一个球，同时小丽从 袋中随机摸一个球，当两个球上所标数字之和为奇数时小刚赢，否则小丽赢．这个游戏对双方公平吗？通过列表或画树状图加以说明．四、解答题（共48分）21．（6分） 二次函数 是常数 中，自变量 与函数 的对应值如下表： 1 2 3 1 1 （1）判断二次函数图象的开口方向，并写出它的顶点坐标．（2）一元二次方程 是常数 的两个根 的取值范围是下列选项中的哪一个 ．① ② ③ ④ 22．（6分）通过对全区2004年至2006年旅游景点发展情况的调查，制成了全区旅游景点个数情况的条形统计图和每年旅游景点游客人数平均数情况的条形统计图，利用这两张统计图提供的信息，解答下列问题．（1）这三年接待游客最多的年份是哪一年？（2）这三年中平均每年接待游客多少人？23．（8分）如图，将矩形纸片 沿对角线 折叠，点 落在点 处， 交 于点 ，连结 ．证明：（1） ．（2） ．24．（8分）某家庭装修房屋，由甲、乙两个装修公司合作完成，选由甲装修公司单独装修3天，剩下的工作由甲、乙两个装修公司合作完成．工程进度满足如图所示的函数关系，该家庭共支付工资8000元．（1）完成此房屋装修共需多少天？（2）若按完成工作量的多少支付工资，甲装修公司应得多少元？25．（10分）现代家居设计的“推拉式”钢窗，运用了轨道滑行技术，纱窗装卸时利用了平等四边形的不稳定性，操作步骤如下：（1）将矩形纱窗转化成平行四边形纱窗后，纱窗上边框嵌入窗框的上轨道槽（如图1）．（2）将平行四边形纱窗的下边框对准窗框的下轨道槽（如图2）．（3）将平行四边形纱窗还原成矩形纱窗，同时下边框嵌入窗框的下轨道槽（如图3）．在装卸纱窗的过程中，如图所示 的值不得小于 ，否则纱窗受损．现将高96cm的矩形纱窗恰好安装在上、下槽深分别为0.9cm，高96cm（上、下槽底间的距离）的窗框上．试求合理安装纱窗时 的最大整数值．（下表提供的数据可供使用） 26．（10分）如图，在平面直角坐标系中，等腰梯形 的四个顶点坐标分别为 ， ．（1）求等腰梯形 的面积．（2）试说明点 在以 的中点 为圆心， 为直径的圆上．（3）在第一象限内确定点 ，使 与 相似，求出所有符合条件的点 的坐标．宁夏回族自治区2007年课改实验区初中毕业暨高中阶段招生数学参考答案及评分标准一、选择题（每小题3分，共24分）题号12345678答案DDBCBCAB二、填空题（每小题3分，共24分）题号910111213141516答案 8.6481 三、解答题（ 分）17．解：原式 4分 6分18．解：去分母得 2分 解方程得 4分经检验 是原分式方程的解5分 原分式方程的解是 6分19．解：解不等式（1）得 1分解不等式（2）得 3分能在数轴上正确表示出不等式组的解集5分 不等式组的解集是 6分20．解：游戏不公平1分能正确画出树状图或表格3分 5分小丽获胜的可能性大6分四、解答题（ 分）21．解（1）开口向下2分顶点坐标 4分（2）两个根 的取值范围是③6分22．解：（1）2004年接待游客人数： （万人）2005年接待游客人数： （万人）2006年接待游客人数： （万人）接待游客最多的年份是2006年3分（2） （万人）这三年中全区平均每年接待游客100.7万人6分23．解：（1）能正确说明 （或 ）3分 4分（其它方法参考以上标准给分）．（2）能得出 （或 ）7分 8分（其它方法参考以上标准给分）．24．（1）方法1解：设一次函数的解析式（合作部分）是 （ 是常数）由待定系数法解得 ． 一次函数的表达式为 2分当 时， ，解得 完成此房屋装修共需9天4分方法2解：由正比例函数图象可知：甲的效率是 1分乙工作的效率： 2分甲、乙合作的天数： （天） 甲先工作了3天， 完成此房屋装修共需9天4分（2）由正比例函数图象可知：甲的工作效率是 5分甲9天完成的工作量是： 7分 甲得到的工资是： （元）8分25．解：能够合理装上平行四边形纱窗时的最大高度： （cm）2分能够合理装上平行四边形纱窗时的高： 或 5分当 时，纱窗高： 此时纱窗能装进去，当 时，纱窗高： 此时纱窗能装进去．当 时，纱窗高： 此时纱窗装不进去．9分因此能合理装上纱窗时 的最大值是 10分26．解：（1） 4分（2）方法1：得出 说明点 在圆上．方法2：得出 ，即 是直角三角形，说明点 在圆上．方法3：得出 ，即 是直角三角形，说明点 在圆上．7分（3）点 位于点 上时， 与 相似此时点 的坐标为 8分过 点作 的垂线交 的延长线于 ， 与 相似此时点 的坐标为 9分过 点作 的垂线交 的延长线于 ， 与 相似此时点 的坐标为 10分 呃……有点乱 希望对你有帮助吧
急！！！！！！！2008年北京市昌平区中考英语模拟试题（二模）试卷及答案
第一部分：听力（共两节，满分30分）
做题时，先将答案标在试卷上。录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。
第一节 （共5小题；每小题1.5分，满分7.5分）
听下面5段对话。每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。
例：How much is the shirt ?
A．£19.15. B．£9.15. C．£9.18. 答案是B.
1. How much will the man pay for the tickets?
A. ￡7.5. B. ￡15. C. ￡50.
2. Which is the right gate for the man's flight?
A. Gate 16. B. Gate 22. C. Gate 25.
3. How does the man feel about going to school by bike?
A. Happy. B. Tired. C. Worried.
4. When can the man get the computers?
A. On Tuesday. B. On Wednesday. C. On Thursday
5. What does the man think of the shirt for the party?
A. The size is not large enough. B. The material is not good. C. The color is not suitable.
第二节 （共15小题；每题1.5分，满分22.5分）
听下面5段对话或独白。每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，每小题将给出5秒钟的作答时间。每段对话或独白读两遍。
听第6段材料，回答第6、7题。
6. What can we learn about Mr. Brown?
A. He is in his office. B. He is at a meeting. C. He is out for a meeting.
7. What will the man probably do next?
A. Call back. B. Come again. C. Leave a message.
听第7段材料，回答第8、9题。
8. What kind of room does the man want to take?
A. A single room. B. A double room. C. A room for three.
9. What does the man need to put in the form?
A. Telephone and student card numbers.
B. Student card number and address.
C. Address and telephone number.
听第8段材料，回答第10至12题。
10. What is the relationship between the speakers?
A. Fellow clerks.
B. Boss and secretary.
C. Customer and salesperson.
11. What does the man like about his job?
A. Living close to the office.
B. Chances to go abroad.
C. Nice people to work with.
12. What do we know about the woman?
A. She likes traveling.
B. She is new to the company.
C. She works in public relations.
听第9段材料，回答第13至16题。
13. When will the visitors come?
A. In March. B. In April. C. In May.
14. How many visitors are coming?
A. 8. B. 10. C. 12.
15 What will the visitors do on the second day?
A. Go to a party. B. Visit schools. C. Attend a lecture.
16. Where will the visitors go on the final day?
A. To London B. To Scotland C. To the coast.
听第10段材料，回答第17至20题。
17. What is the first word the baby tried to say?
A. Truck. B. Ok. C. Duck.
18. How old was the baby when he learned to say that word correctly?
A. About 18 months. B. About 21 months. C. About 24 months.
19. What did the father do when the baby screamed that word at the airport?
A. He corrected the baby.
B. He tried to stop the baby.
C. He hid himself somewhere.
20. Why did the mother pretend not to know the baby?
A. She got angry with the father.
B. She was frightened by the noise.
C. She felt uneasy about the noisy baby.
第二部分：英语知识运用（共两节, 满分45分）
第一节：单项填空（共15小题，每小题1分，满分15分）
从A、B、C、D四个选项中，选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。
例：It is generally considered unwise to give a child he or she wants.
A. however B. whatever C .whichever D. whenever
答案是B.
2l. The house belongs to my aunt but she______ here any more.
A. hasn't lived B. didn't live C. hadn't lived D. doesn't live
22. We______the last bus and didn't have any money for taxi, so we had to walk home.
A. reached B. lost C. missed D. caught
23. See the flags on top of the building? That was______ we did this morning.
A. when B. which C. where D. What
24. There's no light on - they______ be at home.
A. can't B. mustn't C. needn't D. shouldn't
25.- Excuse me, can you tell me where the nearest bank is, please?
－______ Oh yes! It's past the office, next to a big market.
A. Mm, let me think. B. Oh, I beg your pardon?
C. You're welcome. D. What do you mean?
26. If I can help_______, I don't like working late into the night.
A. so B. that C. it D. them
27. Mike didn't play football yesterday because he had ______ his leg.
A. damaged B. hurt C. hit D. struck
28. ______he has limited technical knowledge, the old worker has a lot of experience.
A. Since B. Unless C. As D. Although
29. The water ______ cool when I joined into the pool for morning exercise.
A. was felt B. is felt C. felt D. feels
30. - Hello, could I speak to Mr. Smith?
- Sorry, wrong number. There isn't______ Mr. Smith here.
A. 不填 B. a C. the D. one
31. Eliza remembers everything exactly as if ______ yesterday.
A. was happening B. happens C. has happened D. happened
32. ______ and happy, Tony stood up and accepted the prize.
A. Surprising B. Surprised C. Being surprised D. To be surprising
33. Please remind me______ he said he was going. I may be in time to see him off.
A. where B. when C. how D. what
34. - I wonder if I could possibly use your car for tonight?
-______. I'm not using it anyhow.
A. Sure, go head B. I don't know C. Yes, indeed D. I don't care
35. Mary, ______ here - everybody else, stay where you are.
A. come B. comes C. to come D. coming
第二节 完型填空（共20小题；每小题1.5分，满分30分）
阅读下面短文，撑握其大意，然后从36—55各题所给的四个选项（A、B、C和D）中，选出最佳选项
On a hot summer day in last August, I sought shade and a cool drink at a waterfront cafe on a
Greek island. Over a hundred degrees in 36 air. Crowded. Tempers(脾气) of both the tourists and waiters had 37 to meet the situation, making it a rather quarrelsome environment(环境).
At the table next to mine sat an attractive, 38 couple, waiting for 39 . They held hands, whispered, kissed, and laughed. Suddenly they stood, picked up their 40 and stepped together 41 the edge of where they were sitting to place the table in the sea water. The man stepped 42 for the two chairs. He politely 43 his lady in the knee-deep water and then sat down himself. All people around laughed and cheered.
44 appeared. He paused for just a second, walked into the water to 45 the table and take their 46 , and then walked back to the 47 cheers of the rest of his 48 . Minutes later he returned carrying a bottle of wine and two glasses. Without pausing, he went 49 into the water to 50 the wine. The couple toasted(祝酒) each other, the waiter and the crowd. And the crowd 51 by cheering and throwing flowers to them. Three other tables 52 to have lunch in the water. The place was now filled with laughter.
One doesn’t step into water in one’s best summer clothes. Why not?
Customers are not served 53 . Why not?
Sometimes one should consider 54 the line of convention(常规) and enjoy 55 to the fullest.
36. A. fresh B. cool C. still D. thin
37. A. managed B. expected C. attempted D. risen
38. A. lonely B. curious C. well-dressed D. bad-tempered
39. A. cheers B. service C. attention D. flowers
40. A. metal table B. empty bottle C. chairs D. bags
41. A. on B. off C. around D. along
42. A. outside B. forward C. down D. back
43. A. led B. seated C. watched D. received
44. A. The manager B. A friend C. A waiter D. The servant
45. A. set B. wash C. remove D. check
46. A. menu B. bill C. food D. order
47. A. loud B. anxious C. familiar D. final
48. A. tourists B. customers C. fellows D. assistants
49. A. at last B. in time C. once more D. as well
50. A. change B. drink C. sell D. serve
51. A. replied B. insisted C. agreed D. understood
52. A. prepared B. joined in C. settled up D. continued
53. A. with pleasure B. in the cafe C. int the sea D. with wine
54. A. following B. keeping C. limiting D. crossing
55. A. life B. wine C. lunch D. time
第三部分：阅读理解（共20小题，每题2分，满分40分）
阅读下列短文，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。
A
Most people think of racing when they see greyhounds (灰狗) and believe they need lots of exercise. They can actually be quite lazy! Greyhounds are good at fast races but not long-distance running. They do need regular exercise but they like to run for a short burst and then get back on the bed or a comfortable seat. Another misunderstanding is that greyhounds must be aggressive(好斗的) because they are big in size. In fact greyhounds love people and are gentle with children.
Greyhounds can live for 12 – 14 years but usually only race for two or three years, and after that they make great pets. They don’t need a lot of space, don’t make a lot of noise, and don’t eat a lot for their size.
Normally, greyhounds can be as tall as 90 cm. There is, however, a small-sized greyhound, which stands only 33cm. Greyhounds come in a variety of colors. Grey and yellowish-brown are the most common. Others include black, white, blue, red and brown or a mix of these.
Greyhounds have smooth body coats, low body fat and are very healthy. Because they’re slim (苗条的) they don’t have the leg problems like other dogs the same height. But they do feel the cold, especially since they would much rather be at home in bed than walking around outside.
56. The text is written mainly______.
A. to tell people how to raise greyhounds
B. to let people know more about greyhounds
C. to explain why greyhounds are aggressive
D. to describe greyhounds of different colors
57. It can be inferred that greyhounds_______.
A. love big doghouses
B. like staying in bed all day
C. make the best guard dogs
D. need some exercise outdoors
58. Why does the author say that greyhounds make great pets?
A. They are big in size.
B. They live a very long life.
C. They can run races for some time.
D. They are quiet and easy to look after.
59. If you keep a pet greyhound, it is important________.
A. to keep it slim
B. to keep it warm
C. to take special care of its legs
D. to take it to animal doctors regularly
B
Many years ago, when I was fresh out of school and working in Denver, I was driving to my parents' home in Missouri for Christmas. I stopped at a gas station(加油站)about 50 miles from Oklahoma City, where I was planning to stop and visit a friend. While I was standing in line at the cash register(收款台), I said hello to an older couple who were also paying for gas.
I took off, but had gone only a few miles when black smoke poured from the back of my car. I stopped and wondered what I should do. A car pulled up behind me. It was the couple I had spoken to at the gas station. They said they would take me to my friend's We chatted on the way into the city, and when I got out of the car, the husband gave me his business card.
I wrote him and his wife a thank-you note for helping me. Soon afterward, I received a Christmas present from them. Their note that came with it said that helping me had made their holidays meaningful.
Years later, I drove to a meeting in a nearby town in the morning. In late afternoon I returned to my car and found that I'd left the lights on all day, and the battery(电池)was dead. Then I noticed that the Friendly Ford dealership - a shop selling cars - was right next door. I walked over and found two salesmen in the showroom.
"Just how friendly is Friendly Ford?" I asked and explained my trouble. They quickly drove a pickup truck to my car and started it. They would accept no payment, so when I got home, I wrote them a note to say thanks. I received a letter back from one of the salesmen. No one had ever taken the time to write him and say thank you, and it meant a lot, he said.
"Thank you" - two powerful words. They're easy to say and mean so much.
60. The author planned to stop at Oklahoma City_________.
A. to visit a friend
B. to see his parents
C. to pay at the cash register
D. to have more gas for his car
61. The words “took off” underlined in Paragraph 2 mean “______”.
A. turned off
B. moved off
C. put up
D. set up
62. What happened when the author found smoke coming out of his car?
A. He had it pulled back to the gas station.
B. The couple sent him a business card.
C. The couple offered to help him.
D. He called his friend for help.
63. The battery of the author’s car was dead because_______.
A. something went wrong with the lights
B. the meeting lasted a whole day
C. he forgot to turn off the lights
D. he drove too long a distance
64. By telling his own experiences, the author tries to show______.
A. how to write a thank-you letter
B. how to deal with car problems
C. the kind-heartedness of older people
D. the importance of expressing thanks
C
A study of English learning problems was carried out among a total of 106 foreign students. It shows that most students considered understanding spoken English to be their biggest problem on arrival. This was followed by speaking. Writing increased as a problem as students discovered difficulties in writing papers that they were now expected to hand in. Reading remained as a significant(显著的) problem.
The information gained helped us in determining where special attention should be paid in our course. Although many students have chosen to join the course with a reasonable motivation(动机), we considered it important to note what seemed to encourage interest. Nearly all the students have experienced some kind of grammar-based English teaching in their own country. To use the same method would be self-defeating because it might reduce motivation, especially if it has failed in the past. Therefore a different method may help because it is different.
Variety of activity was also seen as a way of maintaining(保持) or increasing motivation. Several years ago we had one timetable that operated throughout, but we soon found that both the students and the teachers lost interest by about halfway through the ten weeks. This led us to a major re-think, so finally we brought it into line with the expressed language needs of the students.
65. What is the text mainly about?
A. Foreign students have more problems.
B. There are many ways to improve English.
C. Teaching should meet students’ needs.
D. English learning problems should be studied again.
66. Writing became a bigger problem when foreign students________.
A. had to write their papers
B. became better at speaking
C. became less interested in reading
D. had fewer problems with listening
67. We may infer from the last two paragraphs that ________.
A. different teaching methods should be used
B. grammar-based teaching seems to be encouraging
C. English courses are necessary for foreign students
D. teaching content should be changed halfway.
D
Since my retirement(退休) from teaching music in 2001, I have spent a good deal of time painting as an artist. I actually began drawing again in the summer of 1995 when my father died, so perhaps I was trying to recover from the loss of my father, or maybe it was just that it brought back memories of him. In any case, I drew pen and ink animals and landscapes(风景画) much influenced(影响) by Krenkel and St. John for five years.
For some strange reason, I had been waiting until my retirement to start doing watercolors again, but as soon as I walked out of the school door for the last time I picked up my brushes and rediscovered Andrew Wyeth, who quickly became my favorite artist. I had looked through all the art books I had on my shelves and found his watercolors to be the closest to how I thought good watercolors should look. So I painted landscapes around Minnesota for three years and tried out many other types of painting. However, watercolors remained my first choice, and I think I did my best work there, showing my paintings at a number of art exhibitions.
Art is now together with my piano playing and reading. There is a time for everything in my world, and it is wonderful to have some time doing what I want to do. As Confucious once said, “At seventy I can follow my heart’s desire.”
69. What is the text mainly about?
A. Learning to paint in later life. B. How to paint watercolors
C. An artist-turned teacher D. Life after retirement
70. The author started drawing again in 1995 because_________.
A. he hoped to draw a picture of his father
B. he couldn’t stop missing his father
C. he had more time after retirement
D. he liked animals and landscapes
71. We can infer from the text that the author__________.
A. had been taught by Krenkel and St. John
B. painted landscapes in Minnesota for 5 years
C. believed Wyeth to be the best in watercolors
D. started his retirement life at the age of severty
72. How does the author probably feel about his life as an artist?
A. Very enjoyable. B. A bit regretful C. Rather busy. D. Fairly dull.
E
Phillip Island Penguins(企鹅)
The Little Penguin has called Phillip Island home for untold generations. Get to Phillip Island in plenty of time to watch s summer sunset at Summerland Beach – the stage is attractively set to see the little Penguin leave water and step onto land.
•Leave Melbourne at 5:30 pm for a direct journey to Phillip Island.
•See the Gippsland area – Guinness Book of Records place for the world’s longest earthworm(蚯蚓)
•Journey along the coastal highway around the Bay with French Island and Churchill Island in the distance
•Cross the bridge at San Remo to enter Phillip Island – natural home for Little Penguins and many animals
•Take your place in special viewing stands(看台) to watch the daily evening performance of the wild Little Penguins
Ultimate Penguins (+U)
Join a group of up to 15. This guided tour goes to an attractive, quiet beach to see Little Penguins. You can see penguins at night by wearing a special pair of glasses.
Adult(成人) $60.00 Child $30.00
Viewing Platform Penguin Plus (+V)
More personalized wildlife viewing limited to 130 people providing closer viewing of the penguin arrival than the main viewing stands.
Adult $25.00 Child $12.50
Penguin Skybox (+S)
Join a group of only 5 in the comfort of a special, higher-up viewing tower. Gain an excellent overview of Summerland Beach.
Adult 16yrs
73. What kind of people is the text mainly written for?
A. Scientists. B. Students C. Tourists. D. Artists.
74. We can learn from the text that Little Penguins__________.
A. have been on Phillip Island for years
B. keep a Guinness record for their size
C. are trained to practice diving for visitors
D. live in large groups to protect themselves
75. How much would a couple with one child pay for a closer viewing tour?
A. $37.50. B. $62.50. C. $180.00. D. $150.00.
