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2007年甘肃省天水市初中毕业与升学考试(中考)试卷

2007年甘肃省天水市初中毕业与升学考试(中考)试卷
2007年甘肃省天水市初中毕业与升学考试(中考)试卷

年天水市初中毕业与升学考试(中考)试卷

数 学

亲爱的同学,相信你已学到了不少数学知识,掌握了基本的数学思想方法,能够解决许多数学问题,本试卷将给你一个展示的机会.请别急,放松些,认真审题,从容作答,你一定会取得前所未有的好成绩.(本试卷满分150分,考试时间为120分钟)

A 卷(满分100分)

一、选择题(每小题给出的四个选项中只有一个是正确的,将你所选的代号填入括号内.每小题3分,共36分)

1.9的算术平方根是( ) A .3 B . 3 C .±3 D .± 3

2.据天水市旅游局与天水市统计局联合统计显示:2007年“五·一”黄金周期间,我市共接待游客37.6万多人次.37.6万这个数用科学记数法表示是( ) A .3.76×103 B .3.76×104 C .3.76×105 D .3.76×106

3.在△ABC 中,∠C =90o,若sinB =1

3,则cosA 的值为( )

A .13

B .233

C .1

D .

32

4.用配方法解方程x 2+x -1=0,配方后所得方程是( ) A .(x -12)2=3

4

B .(x +12)2=3

4

C .(x +12)2=5

4

D .(x -12)2=5

4

5.下列图像不是..

函数图象的是( )

6.对于实数a ,b ,如果a >0,b <0且|a |<|b |.那么下列等式成立的是( ) A .a +b =|a |+|b | B .a +b =-(|a |+|b |) C .a +b =-(|a |-|b |) D .a +b =-(|b |-|a |)

7.如图,半径相等的两圆⊙O 1,⊙O 2相交于P ,Q 两点. 圆心O 1在⊙O 2上,PT 是⊙O 1的切线,PN 是⊙O 2的切线, 则∠TPN 的大小是( )

A .90o

B .120o

C .135o

D .150o

8.函数y =x +1+1

x -2

的自变量x 的取值范围是( )

A .x ≥-1

B .x ≥-1

C .x ≠2

D .x ≥-1且x ≠2

9.数据a ,1,2,3,b 的平均数为2,则数据a ,b 的平均数是( ) A .2

B .3

C .4

D .0

y x

O y x

O y x

O y x

O A .

B .

C .

D.

P N T

Q Q 1 Q 2 (第7题) O

D

B

A

l

.如图,直线l 是四边形ABCD 的对称轴. 若AD ∥BC ,则下列结论: ①AB ∥CD ;②AB =BC ; ③AB ⊥BC ;④AO =OC . 其中正确的是( ) A .①②③ B .①③④ C .①②④ D .①②③④

11.下列命题是假命题的是( ) A .对顶角相等 B .圆有无数条对称轴

C .两点之间,线段最短

D .平行四边形是轴对称图形

12.如图,在Rt △ABC 中,∠ACB =90o.点P 是半圆弧AC

的中点,连接BP 交AC 于点D ,若半圆弧的圆心为O ,点D , 点E 关于圆心O 对称.则图中的两个阴影部分的面积S 1,S 2 之间的关系是( )

A .S 1<S 2

B .S 1>S 2

C .S 1=S 2

D .不确定

二、填空题(在横线上直接写出最简洁的结论,每小题3分,共30分)

13.关于x 的方程2

3

0x x m

-=-有增根.则m =________. 14.在一个正方体的六个面上都写有一个汉字,其平面展开图

如图所示,那么该正方体中和“江”相对的汉字是________.

15.分解因式:x 2-4y 2=_________. 16.从100张分别写有1,2,3,…,100的数字卡片中,随意抽取一张,数字是6的倍数的概率是_________.

17.如图,已知在⊙O 中,直径MN =10,正方形ABCD 的四

个顶点分别在⊙O 及半径OM ,OP 上,并且∠POM =45o, 则AB 的长为________. 18.函y =-x 2

+2x +3数的顶点坐标是________.

19.对于任意实数a ,b ,规定一种新的运算a *b =a 2+b 2-a -b +1.则(-3)*5=________. 20.如图,AD 是△ABC 的一条中线,∠ADC =45o.沿AD 所在直线把△ADC 翻折,使点C 落在点C ′的位置.则

BC BC

'

=________.

21.已知二次函数y =ax 2+bx +c (a ≠0)的部分图象如图所示,它的顶点的横坐标为-1,由图象可知关于x 的方程ax 2+bx +c =0的两根为x 1=1,x 2=_________. 22.观察下列图形,若将一个正方形平均分成n 2个小正方形,则一条直线最多..

可穿 过_______个小正方形.

O A

B

C D E P S 2 S 1 (第12题)

上 江 南 陇 天 水 (第14题)

A

B O P

N M (第17题) C D C ' A B C D

(第20题) O x

y

1- 1 (第21题) 2n = 3n =

4n =

(第22题)

三、证明、解答题(共34分.解答时写出必要的文字说明及演算过程) 23.(8分)已知:如图,在□ABCD 中,点E 在AD 上,BE ,CE 分别是∠ABC ,∠BCD 的角平分线.

求证:BC =2AB .

24.(8分)若2

210a a --=.求代数式4

4

1

a a +

的值.

25.(9分)如图,点A 是反比例函数k

y x

=

的图象与一次函数y =x +k 的图象的一个交点,AC 垂直x 轴于点C ,AD 垂直y 轴于点D ,且矩形OCAD 的面积为2. (1)求这两个函数的解析式;

(2)求这两个函数图象的另一个交点B 的坐标;

(3)求△AOB 的面积S (点O 为坐标原点).

26.(9分)如图,某海军基地位于A 处,其正南方向200海里处有一个重要目标B ,在B 的正东方向200海里处有一重要目标C .小岛D 位于AC 的中点,岛上有一补给码头;小岛F 位于BC 上且恰好处于小岛D 的正南方向,一艘军舰从A 出发,经B 到C 匀速巡航,一艘补给船同时从D 出发,沿南偏西方向匀速直线航行,欲将一批物品送达军舰. (1)小岛D 和小岛F 相距多少海里?

(2)已知军舰的速度是补给船速度的2倍,军舰在由B 到C 航行的途中与补给船相遇于E 处,那么相遇时补给船航行了多少海里(结果精确到0.1海里,6≈2.45)?

A E

B

C

D (第23题) (第25题) O y x C

A D E

B A

B

C D E F

(第26题)

B 卷(满分50分)

四、综合题(共50分.解答时写出必要的文字说明及演算过程) 27.(9分)已知:x 1,x 2是关于x 的方程x 2-(m -1)x +2m =0的两根,且满足x 12+x 22=8,求m 的值. 28.(9分)如图,在Rt △ABC 中,∠C =90o.BE 平分∠ABC 交AC 于点E ,点D 在AB 上,DE ⊥EB 于点E .

(1)求证:AC 是△DBE 外接圆的切线; (2)若AD =6,AE =62,求BC 的长.

29.(10分)天水市某蔬菜基地有120吨新鲜蔬菜,计划用A ,B 两种货运车运往外地销售,已知A 种车能装载5吨,B 种车能装载6吨.

(1)若有A ,B 两种车共22辆,在满载情况下,能将这些蔬菜全部运完,那么A ,B 两种车各有多少辆?

(2)若A 种车每辆每趟运费为1500元,B 种车每辆每趟运费为1700元,要在车辆满载、且总运费不超过34500元的情况下,将蔬菜全部运完.应怎样选择最佳配车方案?

30.(10分)如图(1)已知点A 1,A 2,A 3是抛物线2

12

y x =

上的三点,线段A 1B 1,A 2B 2,A 3B 3都垂直于x 轴,垂足分别为点B 1,B 2,B 3,延长线段B 2A 2交线段A 1A 3于点C . (1)在图(1)中,若点A 1,A 2,A 3的横坐标依次为1,2,3,求线段CA 2的长; (2)若将抛物线改为2

112

y x x =

-+,如图(2),点A 1,A 2,A 3的横坐标依次为三个连续整数,其他条件不变,求线段CA 2的长.

31.(12分)以边长为a 的正方形ABCD 的对角线AC 长为半径,以点A 为圆心作弧交AB 边的延长线于点E ,交AD 边的延长线于点F ,得扇形AECF ,把扇形AECF 的面积称为正方形ABCD 面积的扩展;再以线段AE 为一边作正方形AEGH ,以对角线AG 的长为半径,点A 为圆心画弧交AE 边的延长线于点M ,交AH 边的延长线于点N ,得扇形AMGN ,则扇形AMGN 的面积是正方形AEGH 面积的扩展,按此法依次进行到如图所示,叫做正方形

B

A D

E C (第28题图)

(第30题) A 1 O y x C A 2 A 3

B 1 B 2 B 3 (1) A 1 O y x

C A 2

A 3

B 1 B 2 B 3

(2)

面积的第一次...

扩展.按这种方法可进行第二次扩展,直到第n 次扩展. (1)求第一次扩展中各扇形面积之和S 1;

(2)求第二次扩展中各扇形面积之和S 2(第二次扩展的第一个正方形是以第一次扩展的最后一个扇形半径为边长的正方形);

(3)求第n 次扩展中各扇形面积之和S n .

A B C

D F

E M

G N

H (第31题)

2020年甘肃天水中考英语试卷及答案

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文档从网络中收集,已重新整理排版.word版本可编辑.欢迎下载支持. 2018年初中学业水平考试英语(A) 二、单项选择(共15小题:每小题1分,满分15分) 阅读下列各题,从题后选项中选择一个最佳答案。 26.Which of the following is the correct pronunciation for the word“interesting”? 27. I asked ____to do_____schoolwork by _____. A. him; his; himself B. her; her; itself C. her; his; myself D. him; her; herself 28. There are a lot of ____on the grass land. ______sheep-dog is sitting next them. A. sheep; The B. sheep; A C. Sheeps; The D. sheeps; A 29. —How often do you have a meeting one month? —_______. A. For one week B. One week ago C. In one week D. Once a week 30. —Will Jim fly to Taiwan for a holiday? —He _____try. In fact, it depends on how much the journey costs. A. may B. has to C. need D. must 31. How noisy it is! Could you please ____the CD player a little? A. turn off B. turn down C. turn on D. turn up 32. She often pakrs her car near the house _____she can easily get to. A. where B. who C. which D. what 33. Which of the following is “dominoes”? 34. Could you please tell ______? A. how can I make the machine work B. how I can make the machine work C. how I can make the machine to work D. how can I make the machine to work 35. Do you think _____acceptable for a group of women to dance to loud music on the square near your house? A. it B. that C. this D. its 36. When you _____me last night, I _____the piano. A. were calling; was playing B.were calling; played C. called; played D. called; was playing 37. A nurse_____Carolyn will look ater the baby when his mother _____away. A. naming; is B. naming; will be C. named; is D. named; will be 38. Which of the following is the one that has 2 sides equal length and 2 angles of the same measure? 39. _______is the best way to keep a good relationship with your parents, teachers and other people around you. A. Active communicating B. Actively communicating C. Active communication D. Actively communication 40. Which of the following is the same as “I saw him reading a book” in pattern(结构)? A. You have a very nice sister. B. He likes playing the piano. C. They are good at math. D. We call her Ms Liu. 三、完形填空(共15小题;每小题1分,满分15分) 阅读下面两篇短文。从短文后各题所给的四个选项中选出能填入空白处的最佳答案。 A Some people still live in their hometown. 41 , others may only see it once or twice a year. Nowadays, millions of Chinese leave the countryside to search for work in the 42 . Among these is Zhou Wei, a 4 husband and father. He has lived in Wenzhou for the last l3 years. He used ro return home 44 once a year, but hasn't been back for almost three years now because of the bard jo b in a crayon factory. “It’s a shame, but I don't have the tim.” he says. Many people like Zhong Wei regard with great interest 45 their hometowns have charged. Perhaps large hospitals and new roads have 46 . In mmy places the government has alos built new schools and sent teachers from the cities to help. But some things will never 47 . In my hometown, there was a big old tree opposite the school, It is still there and has become quite a 48 of the place. 41. A. But B. So C. Therefore D. However 42. A. countries B. hometowns C. cities D. farms 43. A.46-year old B. 46-years-old C. 46 years old D. 46-year-old 44. A. at least B. at last C. at the most D. at first 45. A.because B.since C.how D. while 46. A.appeared B.built C.found D.lost 47. A. begin B. change C.stay the same D. happen 48. A.school B. symbol C. hospital D. road B Mothers should be respected. My mother is a kind and gentle woman. She is very busy from morning till night. As a 49 , she works hard. As a mother, she takes good care of us and gives us every comfort. She teaches math at a middle school. She goes to work early in the morning and does not return

2020年天水市中考英语试卷-答案

2020年天水市中考英语试卷 A卷 I.语音 A)观察所给单词的读音,从A、B、C、D四个选项中找出其画线部分的读音与所给单词的画线部分读音相同的选项。 1. GermanyA. green B. guest C. great D. geography 2. spreadsA. reminds B. looks C. kicks D. locks 3. allowA. owner B. know C. how D. throw 4. liveA. life B. line C. kite D. tip 5. characterA. child B. chance C. chemistry D. China 6. searchA. heard B. near C. pear D. dear B)根据下列对话的情景,找出画线句子在一般情况下单词需要重读的选项。 7.—Whose backpack is this? —It is Jenny’s backpack. A. It, Jenny’s, backpack B. Jenny’s, backpack C. backpack D. Jenny’s 8.—Did you see Lily dancing in your classroom? —No. I saw Mary dancing in our classroom. A. I, saw, Mary, dancing, our B. saw, Mary, dancing, classroom C. No, Mary D. No, Mary, dancing, classroom C)以下每组对话由句子①、②、③组成,指出这三个句子在一般情况下应该用什么语调。 9.①—Would you like some dumplings for lunch? ②—Dumplings? ③—Yes. What dumplings do you want? A. ①升调②降调③降调 B. ①升调②升调③降调 C. ①降调②降调③升调 D. ①降调②降调③降调 10.①—Do you know where the supermarket is? ②—Sorry, I’m new here. ③—Thank you all the same. A. ①降调②降调③降调 B. ①降调②降调③升调 C. ①升调②降调③降调 D. ①升调②升调③降调II.词汇 按照括号内的要求写出下列单词的相应形式。 11. develop(名词) ____________________ 12. success(副词) ____________________ 13. appear(反义词) ___________________ 14.one(同音词) _____________________15. beat(过去分词) ___________________16. you(名词性物主代词) _____________17. lie(现在分词) ____________________18. stomach(复数) ___________________19. thin(比较级) _____________________20. hope(形容词) ____________________B)根据句意及首字母提示或所给汉语意思写出句中所缺的单词。21.The boy’s father is very ill. He has no c________ but to earn money.22.The test i________ three parts: listening, speaking and writing. 23.He f________ the exam because he was so careless with his spelling. 24.Is wealth related to________ (幸福)? 25.Words could not ________ (表达) her feelings at that moment. III.语法与情景交际26.Take ________ umbrella w ith you. It’s ________ useful tool on rainy days.A. an, a B. a, the C. an, the D. the, the 27.My grandparents live in an old apartment with ________ floors and they are on the ________ floor. A. five, five B. five, fifth C. fifth, fifth D. fifth, five 28.Man can’t live ________ water. A. of B. for C. from D. without 29.We can overcome all the difficulies by ________ together. A. work B. works C. working D. worked 30.________ with my father’s handwriting mine is poor. A. Compare B. Compared C. Comparing D. Compares 31.The glass bridge in Shijazhuang is ________than any other one in China.

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