篇一：2013年成都树德中学(九中)自主招生考试数学试题及答案
2013年成都树德中学自主招生考试
数 学 试 卷
本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。全卷满分150分，考试时间120分钟。
第Ⅰ卷
一、选择题：本题共10小题，每小题5分，共50分．在每小题给出的四个选项中，只有
一项是符合题目要求的．
1、一列火车花了H小时行程D公里从A城抵达B城，晚点两小时，那么应该以什么样的速度才能准点到达（ ） A．H?2B．
DDD?2 C． D． HH?2H?2
2、若?
?x?y?z?30
则M?5x?4y?2z的取值范围是：（ ） ,x、y、z均为非负整数，
?3x?y?z?50
A．100?M?110 B．110?M?120C．120?M?130 D．130?M?140
3、某天，学校研究性学习小组的同学从8时起骑自行车外出调查，17时回到学校，小组离
开学校的距离与时间的关系可用图中的曲线表示，根据这个曲线图，下列说法错误的是( )
A．在离校最远的地方调查的时间是14~15时 B．第一次调查从9时开始，历时2h C．中午12～13时休息的地方离校15km
D．返校的速度最慢
2
4、已知函数y?8?2x?x和y?kx?k(k为常数）则不论k为何值，这两个函数的图像
（）
A．只有一个交点 B．只有二个交点 C．只有三个交点 D．只有四个交点
??x?y?3
5、如果x、y是非零实数，使得?，那么x?y等于（ ） 3
??xy?x?0
A．3 B
C
．6、一列数：7,7,7,7,???,7
2
3
4
2008
1 D
．4 2
．其中末位数字是3的有（）
A．502个 B．500个 C．1004个 D．256个
7、在?ABC中，BC?a,AC?b,AB?c,?C?90,CD和BE是?ABC的两条中线，且
CD?BE，
那么a:b:c?（）
A．1:2:3 B．3:2:1C
D
．
8、已知三角形的三个内角的度数都是质数，则这三个内角中必定有一个内角等于：（）
A．2度B．3度C．5度 D．7度 9、已知：m?n?mn?m?n??1，则
2
2
11
?的值等于（） mn
A．?1B．0 C．1D．2 10、积?1?
??1??1??1?1??1??
1?1????1?1??????????
1?3??2?4??3?5?98?10099?101????
值的整数部分是：（ ）
A．1 B．2C．3 D．4
第Ⅱ卷
二、填空题：本大题共6个小题，每小题5分，共30分。把答案填在题中横线上。 11、如图所示，一个大长方形被两条线段AB、CD分成四个小长方形，
其中长方形Ⅰ、Ⅱ、Ⅲ的面积分别是8、6、5，那么阴影部分的面积是：；
12当x?4时，函数y?x??x?2?x?3的最大值减去最小值的差是：
13、今年参加数学竞赛的人数比去年增加了30%，其中男生增加了20%，女生增加了50%，设今年参加竞赛的总人数为a，其中男生人数为b，则：
14、如果两点：M(x1,y1),N(x2,y
2)，那么MN?
b
a
2
2
A?PB已知：A?3,?1?,B??1,4?,C?1,?6?，在?ABC内求一点P，使P
则点P的坐标是 ；
2
2
2
P?C
2
最小，
b15、实数a、、a?b?c；
c足：a?6b??17,b?8c??23,c?2a?14，则满
16、已知恒等式：x?x?1
?
2
?
6
?a0?a1x?a2x2?a3x3?????a10x10?a11x11?a12x12，则
2
?a0?a2?a4?a6?a8?a10?a12?
17、（6分+6分+6分=18分）
??a1?a3?a5?a7?a9?a11?2
（1）已知：点(x,y)在直线y??x?1上，且x?y?2，求x?y的值。
2277
(2)
计
算
：
（3）已知a、b、c是直角三角形?ABC的角A、B、C所对的边，?C?90。
求：
18、（本题满分9分）已知x、y、z为实数，且x?y?z?5,xy?yz?zx?3。试求z的最
大值和最小值。
19、（本题满分9分）在成都火车站开始检票时，有a(a>0)名旅客在候车室排队等候检票进
站。检票开始后，仍有旅客继续前来排队检票进站，设旅客按固定的速度增加，检票口按固定的速度检票。若开放一个检票口，则需30分钟才能将排队等候的旅客全部检票完毕；若开放两个检票口，则需10分钟才能将排队等候的旅客全部检票完毕；如果现在要在5分钟内将排队等候检票的旅客全部检票完毕，以后进站的旅客能够随到随检，至少要同时开放几个检票口？
1111
???的值。
a?b?cb?c?ac?a?bc?a?b
20、(本题满分11分)如图所示：ΔABC的三边满足关系BC=
1
(AB+AC),O、I分别为ABC2
的外心和内心、∠BAC的外角平分线交⊙O于E，AI的延长线交⊙O于D，DE交BC于H．
求证：(1)AI＝BD；
(2)OI=
1
AE． 2
H21、（本题满分12分）如图，在直角坐标平面内，O为坐标原点，点A的坐标为（1，0），
点B在x轴上且在点A的右侧，AB?OA，过点A和B作x轴的垂线，分别交二次函
数y?x的图像于点C和D。直线OC交BD于M，直线CD交y轴于点H，记点C、D的横坐标分别为
2
xC、xD，点H的纵坐标为yH。
（1）请你验证以下的两个命题成立： ①S?CDM:SABMC?2:3； ②数值相等关系：xC?xD??yH；
（2）请你研究：如果将上述命题的条件“点A的坐标为（1，0）”改为“点A的坐标为（t，0）（t?0）”，其它条件不变，结论①是否成立？
（3）如果将上述命题的条件“点A的坐标为（1，0）”改为“点A的坐标为（t，0）
22
（t?0）”，又将条件“y?x”改为“y?ax(a?0)”，其它条件不变，那么xC、xD和yH
有怎样的数值关系？ 22、（本题满分11分）如图所示，在ΔABC中，∠A=900，AD⊥BC于D．∠B的平
分线分别与AD、AC交于E，F，H为EF的中点．(1)求证：AH⊥EF；(2)设ΔAHF、ΔBDE、ΔBAF的周长为cl、c2、c3。
试证明：
AFc1?c29
的值． ?，并指出等号成立时BFc38
篇二：成都初中排名
公立学校： 第一等级：七中育才，石室联中，树德实验学校。其中以七中 育才最为出名。 第二等级：成都七中初中学校，石室中学北湖校区初中部， 成都七中高新校区初中部、树德外国语学校等，可能还有一两所新建 的学校。它们的特点是新，但是招牌硬，假以时日可能会有不俗的表 现。 第三等级：成都的一些老牌公立学校，南面有棕北联中、棕北中 学、十二中等，西面有金牛实验、成都铁中等，北面有列五中学、华 西中学等，东面有川师大附中、十九中等，城中心有盐道街中学、西 北中学等。这些学校虽然整体生源较差，但也有一些优秀的初中学生。 第四等级：主要是那些初中名校的新分校或新校区，这些学 校有一个共同的特点，就是过去基本上属于薄弱学校，如七中育才 （东区）是原来的三圣中学，树德实验光华校区就是以前的光华中学， 最近的石室八校联盟中的一些学校等等。这些学校原来都是十分薄弱 的学校，现在换了招牌，可能会有一点改善，但短期内不会有质的变 化。 私立名校： 第一等级：七中嘉祥外国语学校，成都外国语学校，成都实 验外国语学校，西川中学。其中以七中嘉祥外国语学校为最。 第二等级：成都实验外国语学校（西区），川师大实验外国 语学校，北师大成都实验学校，嘉祥外国语学校成华校区，成都七中 实验学校。 私立名校：
第一等级：七中嘉祥外国语学校，成都外国语学校，成都实 验外国语学校，西川中学。其中以七中嘉祥外国语学校为最。 第二等级：成都实验外国语学校（西区），川师大实验外国 语学校，北师大成都实验学校，嘉祥外国语学校成华校区，成都七中 实验学校。 2014 年成都市初中人气排行榜排名 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 学校名称 成都七中嘉祥外国语学校 成都七中 四川省成都市石室中学 成都树德中学（原成都九中） 四川师范大学附属中学 成都七中实验学校（初中部） 四川师范大学附属实验学校 成都西川中学 成都树德实验中学东区(原二十四中) 成都市田家炳中学 成都市实验外国语学校 成都列五中学 成都武侯外国语学校 成都市实验外国语学校（西区） 成都市第二十中学校 成都市第八中学 成都市盐道街中学 成都市七中育才学校 成都市石室外语学校 成都石室双楠实验学校 地区 锦江区 武侯区 青羊区 青羊区 锦江区 温江区 锦江区 武侯区 青羊区 锦江区 金牛区 成华区 武侯区 高新区 金牛区 金牛区 锦江区 锦江区 金牛区 武侯区 类型 民办 公办 公办 公办 公办 民办 --公办 公办 民办 公办 民办 民办 公办 公办 公办 公办 民办 公办 人气 13907 10770 7754 7562 7222 7152 6514 5745 5656 5652 5513 5138 5040 5000 4953 4889 4846 4760 4489 4421
成都历年中考数据整理平均升学率排名排 名 中学名称 01 成都七中嘉祥外国语学校 02 成都外国语学校 03 成都西川中学 04 成都市七中育才学校 05 成都市石室联合中学 上重点线人数 589 344 322 776 642 总人数 628 407 387 937 815 348 371 881 273 242 356 605 545 265 428 537 214 317 541 488 546 366 195 考试 重点率 （%） 93.79 84.52 83.20 82.82 78.77 70.11 65.77 65.61 57.51 54.55 51.12 48.60 47.52 46.04 45.56 44.32 37.85 37.22 35.67 35.66 34.98 34.43 34.3606 四川师范大学附属实验学校 244 07 成都市棕北中学 08 成都市树德实验中学 09 四川国际学校 10 成都市树德实验中学西区 11 成都市棕北联合中学 12 金牛实验中学 13 成都市实验外国语学校 14 成都市石室联合中学西区 15 成都市青羊实验中学 16 成都列五中学 17 成都高新和平学校 18 成都石室中学初中学校 19 成都市实验外国语学校(西 区) 244 578 157 132 182 294 259 122 195 238 81 118 193 174 19120 成都市青羊实验联合中学 21 成都市七中实验学校 22成都市七中育才学校学道分 126 校 6723 成都美视国际学校
24 成都市双楠实验学校 25 成都武侯外国语学校 26 四川省成都市第十六中学 27 四川省成都市盐道街中学 2885 29 96 112266 92 306 368 288 334 26031.95 31.52 31.37 30.43 29.51 29.04 28.85成都市七中育才学校三圣分 85 校 97 7529 成都市双庆中学 30 四川省成都市第十二中学
篇三：(附答案)成都九中九年级秋季半期考试及答案
成都九中九年级秋季半期考试试卷及答案
一．单项选择
1.——Have you seen my new iPhone 6 plus? I left it here this morning.
——Is it_____ silver one? I think I saw it somewhere.
A. theB. a C.an
2. There _____ a lot of thees here before the new buildings were built.
A. used to beB. used to have C. are
3. He never fails to help ____ is in trouble.
A. whoever B. wherever C. whatever
4. ______ bad weather! We decide not to have a picnic in the park this afternoon.
A. What a B. What C. How
5. —— How do you get good grades in English?——________________
A. For working hard
B. By reading lots of English magazines
C. To ask classmates for help
6. ——We can use We Chat to talk with friends face to face with WiFi.
——Really? Will you please show me_______ it.
A. what to useB. how to useC. where can I use
7. ——Excuse me, Mr Li, I don’t know the meaning of the whole sentence, what shall I do? ——You had better first _____ the new words.
A. look for B. look up C. look through
8. There doctors gave us some very useful ____ on to keep healthy, especially on how to keep fit.
A. wish B. ideaC. advice
9 It is already 10am, but the bookstore _____ closed. Something must have happened to the owner.
A. remains B. leaves C. gets
10. ______ Mid-Autumn Festival, the family get together and eat moon cakes.
A. In B. At C. On
11. If you have any questions there, you can ask the ______ people for help.
A. local B. westernC. foreign
12. The monitor suggested ______ a big party to celebrate the coming Halloween.
A. hold B. to hold C. holding
13. The TV program Where Do the Fathers Go is very popular this year, and it _____ by many children and their parents.
A. loves B. is loving C. is loved
14. —— Could you please tell me ______ there are any good restaurants in the amusement park?
—— Sure, go along Main Street until you pass a supermarket.
A. what B. if C. that
15. Chinese clay art is very famous, ______ the clay pieces are very small but they look real.
A. because B. although C. however
16. All the visitors were ______ hurt in the accident, but not very seriously.
A. badlyB. hardlyC. more or less
17. —— Would you like to come to my birthday party tonight?
—— _______, but I must finish homework first.
A. Of course notB. Yes, I would C. I’d love to
答案：BAABB BBCAC ACCBA CC
二．完形填空
A
These days it is found that the students in Grade Nine hardly have any sports. Is it because they have no in sports? It may not be true. They often say they have more important things to do. of exams and tests in school. So many of them almost become bookworms. In the past in the summer holiday, they could do they liked, but now they have to all their time Because of the pressure from their parents and teachers, they have to work harder and spend ’lessons because they want to further their studies. So it is necessary to give some of their spare well, how can you make great success in life?
()1. A. interests B. interesting C. interested
()2. A. makeB. get C. let
()3. A. who B. how C. what
()4. A. cost B. spend C. take
()5. A. teachers B. parents C. studies
()6. A. inB. on C. at
()7. A. miss B. loss C. fail
()8. A. give B. take C. put
()9. A. thingB. sameC. word
()10. A. strong B. heavyC. weak
Keys: ABCBCBCABC
B
The ability to forgive (原谅) others in a great thing that can certainly help to make life ’t know ’t understand the meaning of “forgiving”.
In the dictionary, “to forgive” means “something bad to you.” I’too, and I know how hard it is. got angry when communicating with him. However, we had a talk about our problems.
When he pointed out that I wasn’love my friend deep in my heart. Then I understood the saying, “To love is to forgive.” And when friendship became fresh again.
Now I understand the meaning of forgiveness better.
()1. A. lateB. difficultC. strange
()2. A. why B. whenC. because
()3. A. stop B. sufferC. keep
()4. A. spent B. continuedC. succeeded
()5. A. dangers B. problemsC. questions
()6. A. firstlyB. finallyC. suddenly
()7. A. surprised B. excited C. satisfied
()8. A. worried B. frightenedC. angry
()9. A. forgiveB. help C. protect
()10. A. learn B. forgetC. imagine
Keys: BCACB BACAB
三．完成对话
A:How are you feeling now?George and I was quite worried about you when Ann called us Yesterday.
B:Not too__1___yet.I still have a headache and my right__2___can__3__take a cup.
A:What about your legs?
B:Much better.I feel less_4__in my knees__5___I can’t walk.Just now the doctor and the nurses told me to stay in bed for two weeks.
A:That’s OK.But how did it_6___?
B:Oh,yesterday morning I cleaned the windows.In order to_7___the work easier,I climbed over the window and stood_8___the windows.I worked quickly,but suddenly I__9___down to the garden.When I woke up,I found myself lying in bed in the__10___.
A:You’re lucky that you live on the second floor.
Keys: well, hand, hardly, pain, although, happen, make, outside, fell, hospital
Wang Jiaming from Beijing Chenjinglun High School says he is a lucky boy. He’s happy that he’s sitting the senior high school ___1___ exam(中考) in 2014 instead of 2016.
On Oct 22, Beijing Municipal Commission of Education (北京市政委) said that, from 2016, the English scores in the senior high school entrance exam will ___2___ from 120 to 100. Of the 100 points, the listening ___3___ scores will increase to 50. Meanwhile, the points for Chinese will increase from 120 to 150.
“The change won’t ___4___ me. I feel so lucky because English is my strongest subject,” said Wang.
Why such a change? It places the ___5___ on Chinese in our study, and reduces(减轻) students’ pressure, said Li Yi, spokesman of the commission.
“The change will also push us to pay attention to the ___6___ usage of English,” said Li. “Students will be encouraged to learn to understand English menus and read English news on mobile phones.”
There isn’t news that other cities will have the same change. But several places are making changes to English tests in the college entrance exams.
For example, Shandong ___7___ taking out the listening part of the English exam in its gaokao.
But, “being tested for ___8___ points doesn’t mean the subject can be taken lightly.” Bai Ping wrote in China Daily.
English has long been the world’s most commonly used language. Former Chinese premier Zhu Rongji once said: “In a globalizing economy(全球化经济), if you cannot communicate with ___9___ , how can one be part of the world economy?”
Wang Jiaming said he understood the change. “Chinese, not English, is our mother language,” he said. “But still, I think English is both interesting and ___10___.”
1-5 entrance; cut down; ability; influence; important
6-10 practice; consider; fewer; foreigner; useful
五．补全短文
A famous study was done in a school by a professor from a university. At the end of the school year, the teachers were given the names of five children. _____1_______, But the fact was that these students were only average, and they were not the best students at all, Well, guess what? At the end of the year, all the five average students became top ones in the class.
______2______ The only difference was the change in their teachers’ attitude. Because the teachers believed that these five kids were the top students, they expected more from them, And so these five average students began to believe and expect more from themselves, So they worked harder to do as well as they could.
Do you know? _____3_______ Like the true story of 7-year-old Johnny, his teacher got so angry with him that one day she said , Johnny, you’re the worst boy in this class. I’m sure you’ll never change. _____4_______And on the first day of class, she met with Johnny after school and said, Johnny, I’ve heard a lot about you! But do you know that I don’t believe a word of it. And every day after that, this new teacher treated Johnny as if he was one of the smartest students even when Johnny did had things . later on, Johnny became a school leader. How did he achieve that? ______5______
A. That’s the power of our belief and attitude towards children
B. The next year Johnny had a new teacher
C. They were told that these five were the most excellent students in the class
D. But soon, she changed her attitude towards Johnny
E. What made these average students change so much to become top students?
F. If you expect the best from people, they’ll usually want to give their best
六．完成表格
Before you get in a bathtub(浴缸), you might stick your finger(伸手指) in the water to see whether it’s too cold, too hot, or just right. When you do this, you’re checking the temperature. But fingers aren’t really a very good way to measure(测量) temperature. Some things, like a hot oven, are too hot to touch. So when we want to know how cold or hot something is, we use a thermometer(温度计). Thermometers help us measure the temperature in units called degree(度数).
When you go to a doctor’s office, the doctor or nurse might use a special kind of thermometer to take your temperature. If you are healthy, your temperature will be 98.6 degree, or close to that. If you’re sick and have a fever, your temperature might be a little over 100 degrees.
We use a different kind of thermometer to tell us the temperature of the air around us. Look at the picture of a weather thermometer. A weather thermometer has a tub(试管)running up and down its center, usually with red or silver liquid(液体) in it. This liquid goes higher in the tub when the temperature gets warmer. And when the temperature gets cooler, the liquid goes — what do you think? — that’s right, lower. To read the thermometer, you find where the liquid has stopped, then you look over to see the number nearest to the top of the liquid.
Can you find 70 on the thermometer? Seventy degree is a comfortable temperature—for most people, it’s not too hot and not too cold. Can you find 100? If the thermometer reaches 100 degrees, you’ll be sweating(流汗)! That’s a very , very hot day!
Can you find 30? Now count out loud to 2 mor(转自：wWw.DXf5.Com 东星 资源网:成都九中中考报名)e than 30. That takes you to 32, right? If you put a cup of water outside on a day on which the temperature is 32 degrees or lower, do you know what will happen to the water? The water will freeze.
Can you find 9(zero) on the thermometer? Do you see that even more numbers appear below 0? Only on the coldest days—really super cold!—and only in some places does it ever get to cold that we have to use those numbers below zero on the thermometer. Those are the days when we
measuring/checking the thermometer; Degree; Body; normal; higher; neither...nor; because of; ≦32; many clothes