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2013虹口区初三数学一模篇一:2013虹口区初三数学一模答案
2013虹口区初三数学一模答案
虹口区2013学年度第一学期初三年级数学学科期中质量检测卷
参考答案
一、选择题:
A
B
A(画图见分晓)
C
D
D(注意向量的方向关系)
二、填空题:
2013虹口区初三数学一模篇二:2013虹口区初三数学一模
2013虹口区初三数学一模篇三:2013年中考上海虹口区初三数学一模试卷答案
虹口区2013学年度第一学期初三年级数学学科期中质量检测卷
参考答案
一、选择题:
1、 A
2、 B
3、 A(画图见分晓)
4、 C
5、 D
6、 D(注意向量的方向关系)
二、填空题:
7、 4(是线段的比例中项,所以取正不取负)
8、 3/5
9、 5/12
10、10(锐角三角比的计算)
11、k<0.5
12、y=x+2x+3(当然答案不唯一,你只要满足题意即可)
13、y=(x-3)2-2
14、<
15、
12a 2
SDEF=a => SBCE=9a => SBCDF=8a => SCDF=2a => SBCF=6a => SABCD=12a
16、4(重心的基本概念)
17、10
18、6(EDC和ECA刚好可以形成共边形的相似模型)
三、简单题:
19、2-
20、y=x2-2x+4,顶点坐标是(1,3)
21、 => =>
22、(1)CD=AD/tan20=25,根据比例线段可知B到扶梯的距离为2.16>1.9,所以不会碰到头部
(2)
网络整理
EFCG是一个平行四边形,所以扶梯的高度并不会影响扶梯的长度,DG=2AD=18,EF=CG=25-18=7
23、(1)
(2)
=> EB=EA*EC => ED=EA*EC 22
易得EA=4;AD=2;CD=3;AD=2;EA=4, ,根据比例线段可得BC=
24、(1)
(2)y=0.5x
25、(1)b=7/2;C(1,0.5) (2)P(2,)或P(-2,) (3)y=
网络整理
2013虹口区初三数学一模篇四:2013-2014上海市虹口区九年级第一学期期末(一模)数学试题及答案
虹口区九年级数学学科期末练习卷(2014年1月)
(考试时间:100分钟,满分:150分)
一、 选择题(本大题共6题,每题4分,满分24分)
【下列各题的四个选项中,有且只有一个选项是正确的,选择正确项的代号并填涂在答题纸的相应位置上.】
1.下列函数中属于二次函数的是( ▲ )
x212
A.y; B.y2(x1)(x3); C.y3x2; D.y.
xx
2.抛物线yx3x2与y轴交点的坐标是( ▲ )
A
.
2
ACACBCCB B
C
; D
BCABABAC3.在Rt△ABC中,∠ C=90°,若a、b、c分别∠A、∠B、∠C的对边,则下列结论中,正确的是( ▲ )
A.csinAa; B.bcosBc; C.atanAb; D.ctanBb. 4.如图,若AB // CD // EF,则下列结论中,与
AD
相等的是( ▲ ) AF
A.
ABCDBOBC
; B.; C.; D.. EFEFOEBE
5.如图,在△ABC中,如果DE与BC不平行,那么下列条件中,不能判断△ADE∽△ABC的是( ▲ )
A.∠ADE =∠C; B.∠AED =∠B; C.
B
(第5题图)
ADDEADAE
; D..
ABBCACAB
C
E
E (第4题图) (第6题图)
6.如图,在四边形ABCD中,点E、F分别是AB、AD的中点,若EF = 2,BC = 5,CD = 3,则sinC的值为( ▲ )
A.
3434; B. ; C.; D.. 4355
二、填空题(本大题共12题,每题4分,满分48分)
7.已知x:y3:2,则(xy):x. 8
45sin60
9.在Rt△ABC中,∠C = 90°,若AC=5,tanA = 2,则BC 10.写出抛物线y
2
121
x与抛物线yx2的一条共同特征是. 22
2
11.已知抛物线y2(x3)1,当x1x23时,y1____y2.(填“>”或“<”) 12.将抛物线y3x平移,使其顶点移到点P(– 2 , 1)的位置,则所得新抛物线的表达式
是 ▲ .
13.二次函数yaxbxc图像上部分点的坐标满足下表:
2
2
则该函数图像的顶点坐标为 ▲ .
14.在△ABC中,EF // BC,AD⊥BC交EF于点G,EF = 4,BC = 5,AD = 3,则
(第14题图)
B
(第16题图)
(第
17题图)
(第15题图)
15.如图,点G是△ABC的重心,GF // BC,ABa,ACb,用a,b表示GF
16.如图,每个小正方形的边长为1,A、B、C是小正方形的顶点,则∠ABC的正弦值为 17.如图,某公园入口处原有三级台阶,每级台阶高为20cm,深为30cm,为方便残疾人士,
拟将台阶改为斜坡,设台阶的起点为A,斜坡的起始点为C,现设计斜坡BC的坡度
i1:5,则AC的长度是cm.
18.如图,Rt△ABC中,∠C =90°,AB = 5,AC = 3,在边AB上取
一点D,作DE⊥AB交BC于点E
.现将△BDE沿DE折叠,使点B落在线段DA上,对应点记为B1;BD的中点
F的对应点记为F1.若△EFB∽△AF1E,则B1D = . 三、解答题(本大题共7题,满分78分) 19.(本题满分10分)
(第18题图)
已知:一个二次函数的图像经过(3,0)、(
0,– 3)(1,– 4)三点,求这个二次函数解析式.
20.(本题满分10分,第(1)小题满分4分,第(2)小题满分6分)
已知二次函数y
127
xx 22
2
(1) 用配方法把该二次函数的解析式化为ya(xm)k的形式; (2) 指出该二次函数图像的开口方向、顶点坐标和对称轴.
21.(本题满分10分)
如图,在△ABC中,∠C = 90°,AD是∠CAB的角平分线,BE⊥AE,垂足为点E. 求证:BEDEAE
C
22.(本题满分10分)
我国南水北调中线工程的起点是某水库,按照工程计划,需对原水库大坝进行混凝土培厚加高,使坝高由原来的156米增加到173.2米,以抬高蓄水位,如图是一段坝体加高工程的截面示意图,其中原坝体的高为BE,背水坡坡角∠BAE = 69°,新坝体高为DE,背水坡坡角∠DCE = 60°,求工程完工后背水坡底端水平方向增加的宽度AC.
2
23.(本题满分12分,第(1)小题满分6分,第(2)小题满分6分) 在△ABC中,∠BAC = 90°,∠EAF = 90°,ABAFACAE. (1)求证:△AGC∽△DGB;
(2)若点F为CG的中点,AB = 3,AC = 4,tanDBG
1
,求DF的长.
2
24.(本题满分12分,第(1)小题满分6分,第(2)小题满分6分)
如图,已知抛物线y
12
,且交y轴于点A. xbxc经过点B(– 4 , 0)与点C(8 , 0)
4
(1)求该抛物线的表达式,并写出其顶点坐标;
(2)将该抛物线向上平移4个单位,再向右平移m个单位,得到新抛物线,若新抛物线的顶点为P,联结BP,直线BP将△ABC分割成面积相等的两个三角形,求m的值.
25.(本题满分14分,第(1)小题满分6分,第(2)小题满分4分,第(3)小题满分4分) 已知:正方形ABCD的边长为4,点E为BC边的中点,点P为AB边上一动点长,沿PE翻折△BPE得到△FPE,直线PF交CD边于点Q,交直线AD于点G. (1)如图,当BP = 1.5时,求CQ的长;
(2)如图,当点G在射线AD上时,设BP=x, DG = y,求y关于x的函数关系式,并写出x的取值范围;
(3)延长EF交直线AD于点H,若△CQE∽△FHG,求BP的长.
PB
2013虹口区初三数学一模篇五:虹口区2013-2014学年数学一模中考卷及答案
2013虹口区初三数学一模篇六:2013虹口区初三数学一模
2013虹口区初三数学一模
一、选择题(每小题3分,共24分)
1.代数式 有意义的条件是( )
A、x<1 B、x≤1 C、x>1 D、x≥1
2. 学校要从30名优秀学生中,评选出5名县级三好学生,已经确定了1名,则剩余学生被评选为县级三好学生的概率是( )
A. B. C. D.
3. 已知 的值是( )
A、 B、 C、 D、
4.已知实数a、b在数轴上的位置如图,那么化简 的结果是( )
5.关于x的方程 是一元二次方程,则m的值是( )
A、1 B、0 C、1或-1 D、-1
6. 某一时刻太阳光下身高1.5m的小明的影长为2m,同一时刻旗杆的影长为6m,则旗杆的高度为( )米
A、4.5 B、8 C、5.5 D、7
7.如图,小正方形的边长均为1,则选项中的三角形与△ABC相似的是( )
8.如图,已知矩形ABCD中,点R、P分别是DC、BC上的点,E、F分别是AP、RP的中点,当点P在BC上从B向C移动,而R不动时,那么( )
A、线段EF的长逐渐增大
B、线段EF的长逐渐减小
C、线段EF的长保持不变
D、线段EF的长不能确定
二、填空题(每小题3分,共18分)
9. 掷一枚硬币两次,每次都出现正面向上的概率是( )
A、 B、 C、 D、无法确定
10.在Rt△ABC中,∠C=90°AB=5,AC=3,则SinA= 。
11. 方程 的解是____________。
12.两个相似多边形的面积的和等于156 ,且相似比等于2:3,则较大多边形的面积是 。
13. “互补的两个角一定是一个锐角和一个钝角”是 命题(填“真”或“假”)
14.已知x1,x2是方程x2+x-2=0的两个根,则 .
15. 。
16. 在一幅长为80㎝,宽为50㎝的矩形风景画的四周镶一条相同宽度的金色纸边,制成一幅矩形挂图。如果要使整个挂图的面积是5400㎝2,设金色纸边的宽度为x㎝,那么x满足的方程是____________________________.
三、计算或解答(本题共7个小题,共54分)
17.计算:(每小题5分,共10分)
① ②2sin60°- 3tan30°-(-1)2012
18.用适当的方法解方程:(每小题5分,共10分)
① 。 ②(x – 2)2 – 2 = 0
19.(6分)已知关于x的一元二次方程
求证:无论m取何值时,方程总有两个不相等的实数根.
20. (6分)如图,△ABC在方格纸中(1)请在方格纸上建立平面直角坐标系,使A(2,3),C(6,2),求出点B的坐标.
(2)以原点O为位似中心,位似比为2:1,在第一象限内将△ABC放大,画出放大后的△A’B’C’.
21. (6分)通程电器溆浦店2010年盈利1500万元,2012年实现盈利2160万元,从2010年到2012年,如果通程电器溆浦店每年盈利的年增长率相同,求它每年的年增长率是多少?
22.(本题满分8分) 有两只布袋,其中一只袋里装有两个白球,另一只袋里装有一个白球和一个黑球,现有甲乙两人玩游戏,从两只布袋里各摸出一个小球,若两个小球均为白色,甲赢,若两个小球是一白一黑,乙赢,你觉得这个游戏公平吗?如果公平,请你说明理由;如果不公平,请算出甲乙两人各自赢的概率,并设计一个游戏公平的方案。
23. (8分)如图,在□ABCD中,E 是CD的延长线上一点,BE交AD于点F,DE= CD.
(1)求证:△ABF∽△CEB
(2)若S△DEF=2,求S□ABCD
四、提高题(本题共2个小题,共18分)
24.(本题8分)如图,正方形ABCD中,过D做DE∥AC,∠ACE =30°,
CE交AD于点F,求证:AE = AF;
25.(本题10分)城市规划期间,欲拆除一电线杆AB,已知距电线杆AB水平距离14m的D处有一大坝,背水坡CD的坡度i=2:1,坝高CF为2m,在坝顶C处测得杆顶A的仰角为30•°,D、E之间是宽为2m的人行道.试问:在拆除电线杆AB时,为确保行人安全,•是否需要将此人行道封上?请说明理由(在地面上,以点B为圆心,以AB•长为半径的圆形区域为危险区域.)( ≈1.732, ≈1.414)
2013虹口区初三数学一模篇七:2013年上海市虹口区初中数学一模卷试题及参考答案
虹口区2012学年第一学期初三年级数学学科期终教学质量监测试卷
(满分150分,考试时间100分钟)
一、选择题(本大题共6题,每题4分,满分24分) 1、抛物线y(x2)21的顶点坐标是( )
A、(2,1) B、(﹣2,1) C、(2,﹣1) D、(﹣2,﹣1) 2、关于二次函数yax2bx的图像如图所示,下列说法中,正确的是( ) A、a>0,b>0 B、a>0,b<0 C、a<0,b>0 D、a<0,b<0 3、小丽在楼上点A处看到楼下点B处的小明的俯角是35°,那么点B处小明 看点A处的小丽的仰角的度数是( )
A、35° B、45° C、55° D、65° 4、如图,已知AB∥CD∥EF,BD:DF=2:3 ,那么下列结论中,正确的是( ) A、CD:EF=2:5 B、AB:CD=2:5 C、AC:AE=2:5 D、CE:EA=2:5
O
A
2013年1月
y
A
x
A
A
第2题图
第4题图
5、在△ABC中,AB=AC=2,∠B=30°,那么BC等于( ) A、1 B、2 C
D
、
6、如图,在△ABC中,BD=2CD,BAa,BCb,那么DA等于( )
2222
A、ab B、ba C、ba D、ab
3333
二、填空题(本大题共12小题,每题4分,满分48分)
7、已知线段b是线段a、c的比例中项,且a=9,b=6,那么c=_________。 8、在Rt△ABC中,∠C=90°,AC=3,BC=4,则sinB=__________。 9、在Rt△ABC中,∠C=90°,cosA=
12
,则tanA
13
10、如图,已知梯形ABCD中,AD∥BC, ∠B=30°,∠C=60°,AD=4,AB
则下底BC的长为____________。
11、若抛物线y(2k1)x2x的开口向下,则k的取值范围是________________。 12、请写出一个开口向上,且对称轴为直线x1的抛物线表达式_________________。 13、用配方法把二次函数解析式yx26x7化为ya(xm)2k的形式是_____________。 14、如果抛物线y(x2)21经过点A(1,y1)和点B(1,y2),那么y1和y2的大小关系
是y1____y2(填“>”或“=”或“<”)
15、如图,平行四边形ABCD中,E是CD的延长线上一点,BE与AD交于点F,CD=2DE,若△DEF的面积为a,则平行四边形ABCD的面积为________。(用含a的代数式表示)
GD⊥BC,那么CD=_______。 17、如图,小明用直角三角形工具测量树的高度AB,测量时,他使斜边DF保持水平,并使
DE与点B在同一直线上,已知两条直角边DE=0.3m,
高度AC=1.5m,CD=17m。则树高AB=_______m。 18、如图,将△ABC翻折,使点B与AE边上的点D重合,
折痕为AC,若AB=AC=5,AE=9,则CE=________三、解答题(本大题共7小题,满分78分) 19、(本题满分10分)
计算:2sin60cot30
20、(本题满分10分)
1
2tan45tan60
已知一个二次函数的图像经过A(1,3)、B(1,7)、C(0,4)三点,求这个二次函数的解析式,并写出该函数图像的对称轴和顶点坐标。
21、(本题满分10分)
如图,点D、E分别在线段AB和AC上,BE与CD相交于点O,ADABAEAC, DF∥AC。求证:△DOF∽△DOB
22、(本题满分10分)
某大型购物中心为方便顾客地铁换乘,准备在底层至B1层之间安装电梯,截面图如图所示,底层与B1层平行,层高AD为9米,A、B间的距离为6米,∠ACD=20°。 (1)请问身高1.9米的人在竖直站立的情况下搭乘电梯,在B处会不会碰到头?请说明理由。
(2)若采取中段平台设计(如图虚线所示)。已知平台EF∥DC,且AE段和FC段的坡 度i1:2,求平台EF的长度。
【参考数据:sin200.34,cos200.94,tan200.36】
23、(本小题满分12分)
如图,在△ABC中,BD平分∠ABC,EF垂直平分BD,交CA
(1)求证:DE2EAEC;
(2)若ED=6,BD=CD=3,求BC的长。
24、(本小题满分12分)
在△ABC中,CA=CB,BD为AC边上的高。
(1)如图1,过点C作CE⊥AB交BD于点F,交AB于点E,若BC=5,BD=3, 求
BE
的值。 CF
(2)如图2,若点P是BC边上一动点,过点P作PM⊥AB交BD于点N,交AB于点M,设xtanC,
yBM
PN
,求y与x的函数解析式。
2013虹口区初三数学一模篇八:2013年上海中考虹口区数学一模卷
2013虹口区初三数学一模篇九:2013届虹口区初三英语一模试卷及答案
虹口区2012学年度第一学期初三年级英语学科
期终教学质量监控试卷
Part 1 Listening (第一部分 听力)
I. Listening Comprehension (听力理解) (共30分)
A. Listen and choose the right picture (根据你听到的内容,选出相应的图片) (6分)
A B C
D E F G
1. ______ 2. ______ 3. ______ 4. ______ 5. ______ 6. ______
B. Listen to the dialogue and choose the best answer to the question you hear (根据你听到的对话和问题,选出最恰当的答案) (10分) ( ) 7. A) Red. ( ) 8. A) By bus. ( ) 9. A) Sunny. . D) Rainy. ( ) 10. A) 3 yuan.
B) Blue. B) Cloudy. B) 4 yuan.
C) Brown. C) Windy C) 10 yuan.
D) 12 yuan. D) White. D) On foot.
B) By underground. C) By taxi.
( ) 11. A) Father and daughter.
C) Doctor and patient.
( ) 12. A) Because he got up late that morning. C) Because the bus was broken. ( ) 13. A) In a supermarket. C) In a bookshop. ( ) 14. A) Pears. ( ) 15. A) Monday. ( ) 16. A) It’s boring.
B) Apples. B) Tuesday.
B) Teacher and student.
D) Waiter and customer.
B) Because he missed the first bus. D) Because he met a traffic jam. B) In a library. D) In a museum. C) Pineapples. C) Wednesday. B) It’s relaxing.
D) Oranges. D) Thursday.
C) It’s meaningful. D) It’s well-organized.
C. Listen to the passage and tell whether the following statements are true or false (判断下列句子是否符合你听到的内容, 符合的用“T”表示,不符合的用“F”表示) (7分) ( )17. At first three men didn’t know the three o’clock train to New York would leave later. ( )18. They had to go to a nearby shopping center to wait.
( )19. After an hour, they returned to the station laughing and talking. ( )20. The train was moving slowly into the station when they arrived. ( )21. All three men wanted to catch up with the moving train but one failed. ( )22. The third man laughed with tears in his eyes because he made it.
( )23. In fact, the two friends came to see the laughing man off.
D. Listen to the dialogue and complete the following sentences (听对话,完成下列内容,每空格限填一词): (共7分)
24. Alice can hardly __________ Bob because of the terrible accident. 25. Bob just got back from _________ where he had an accident. 26. When Bob’s motor fell to the ground , he _________ both of his legs 27. Alice thinks Bob was lucky to be __________ after the accident. 28. Bob read all about motorcycle ________in the hospital.
29. Doctors say Bob still needs to stay in hospital for ________ weeks or so. 30. Bob thanked Alice for her beautiful __________ .
Part 2 Vocabulary and Grammar
(第二部分 词汇和语法)
Ⅱ. Choose the best answer (选择最恰当的答案) (共20分)
( )31. Jane is going to ___________ movies with her parents this weekend.
A) a
B) an
C) the
D) /
( )32. Jacky is not old enough to take care of ________. He is only four years old.
A) he
B) his
C) him
D) himself
( )33. Go through the information you have received and write a news report based ____the
interview.
A) on
B) by
C) in
D) for
( )34. Tony borrowed some books from the library to get some ________ about Western culture.
A) picture B) story C) idea D) information
( )35. An American company has developed a technique that can make bread stay
fresh________60 days.
A) at to conclusions.
A) read
B) to read
C) reading
D) have read
B)on
C) in
D) for
( )36. At the meeting Jack denied _______ comic strips in class from time to time. We can’t jump
( )37. ________ funny joke Lisa told us!
A) What A) soft A) serious their study.
A) may not A) succeeded A) is living A) is
A)is provided rent(租) a car.
A) had damaged B) is damaging A) so
B) or
C) will damage C) but
D) has damaged
D) and
( )46. ―Show me your ticket, ________ I won’t let you in.‖ the guard said angrily. ( )47. – Look! Here comes the school bus.
– No hurry. Don’t get on it ________ it has stopped.
A) until
B) after
C) since
D) when
( )48. No one can exactly tell us what ___________.
A) does Mona Lisa’s smile mean C) Mona Lisa’s smile does
B) Mona Lisa’s smile means
D) does Mona Lisa’s smile
B) needn’t B) managed B) had lived B) was
C) shouldn’t C) advised
D) mustn’t D) offered
( )41. Peter _________ to escape from the prison, but he couldn’t find a safe hiding place. ( )42. Mrs. Gaines ________ in that housing estate since she came back to Shanghai in 2005.
C) would live D) has lived C) will be
D) has been
( )43. ―If he has enough sleep, he ________ well soon.‖ the doctor said to Tom’s mother. ( )44. Emotional (心理) support ________to people with health problems in this area recently.
B) was provided C) has been provided D) will be provided
( )45. Storm Sandy _________thousands of cars so a number of Thanksgiving travelers failed to
B) What a B) frightened B)seriously
C) What an D) How C) sweet C) more serious
D) friendly D) more seriously
( )38. Eating some Deo Perfume Candies(香体糖)makes you smell __________. ( )39. Jack took music _____ than any boy in his class and held a concert successfully.
( )40. Some Americans think if students chew gum(咀嚼口香糖)in class, they _______ focus on
( )49. – Why did you leave the fan on in your room? It’s a waste of electricity.
– ________
A) I don’t think so, either. C) Sorry, I will turn it off. – ________
A) That’s a good idea. C) What a shame!
B) You are welcome. D) It doesn’t matter. B) Not at all. D) That’s all right.
( )50. – I am terribly sorry. I have dropped the vase.
III. Complete the following passage with the words or phrases in the box. Each word can only
Mr. Dawson was an old man easy to lose his temper, and everyone in town knew it. Kids knew not to go into his yard to pick an apple, because old Dawson would come after you with his ___51____.
One Friday, 12-year-old Janet was walking out with her friend Amy. They had to go by Dawson’s house, but as they got close, Janet saw him sitting on his front porch and he__52___they cross over the street. Like most, she was scared of the old man.
frown, but when he saw it was Amy, he gave a big smile. Amy smiled back and told him Janet was staying overnight with her to listen to music and play games. Dawson told them that sounded fun, and gave them each an apple.
Later, Janet asked Amy, ―Everyone says he’s the meanest(吝啬的) man in town. Why is he so nice to us?‖ Amy ___54___that when she first started walking past his house he wasn’t very friendly, but she pretended he was wearing an invisible(看不见的)smile and so she always smiled. It took a while, but one day he half-smiled back. After a while, he started smiling ___55____ smiles and then talked to her. She said he always offered her an apple, and was always very kind.
―An invisible smile?‖ questioned Janet. ―Yes,‖ answered Amy. ―My grandma told me that if I pretended I wasn’t ___56____ and pretended he was smiling an invisible smile at me and I smiled back at him, ___57____ he would really smile.‖
How ___58__ we can bring cheer to ourselves and others!
51. ______ 52. ______ 53. ______ 54. ______ 55. ______ 56. ______ 57. ______ 58. ______ Ⅳ. Complete the sentences with the given words in their proper forms(用括号中所给单词的适当形式完成下列句子,每空格限填一词) (共8分) 59. The government spent a lot of money building schools and ________. (church )
60. _________ hutongs have a very special and important place in the rich history of
Beijing.(tradition)
61. I never want to do the same things _______. I like surprises.(two)
62. Smiling is the best way to show our ________ to others. (kind)
63. As Sally fell down and hurt ________leg, she won’t be able to dance for a long time. (she) 64. It was ________ of you to tell such a lie. (honest)
65. A story about a bad world often _______ as a warning about the present.(service) 66. The secrets about the singer are ________ spread among the young fans. (wide)
V. Rewrite the following sentences as required(根据所给要求,改写下列句子。每空格限填一词) (共14分)
67. You’d better do your shopping online without visiting an actual shop. (改为否定句) You’d better ________ ________ your shopping online without visiting an actual shop 68. Your father has never been to Hong Kong. (改为反意疑问句)
Your father has never been to Hong Kong, _________ _________?
69. Sir John Gurdon has been awarded the 2012 Nobel Prize in medicine or physiology ). (对划线部分提问) ______ ______ Sir John Gurdon been awarded the 2012 Nobel Prize in medicine or physiology? 70. 对划线部分提问) _________ _________ her family move to Tokyo?
71. What would you like to ask besides this question? (保持句意基本不变) What would you like to ask _______ ________ to this question?
72. A team of men spent a whole day moving the ancient building. (保持句意基本不变) _________ _________ a team of men a whole day to move the ancient building.
73. Some shop owners use Christmas songs during the festive season to make us more careless with our money.(改为被动语态)
Christmas songs ______ _____ to make us more careless with our money during the festive season.
Part 3 Reading and Writing (第三部分 读写)
Ⅵ. Reading comprehension (阅读理解) (共50分)
A. Choose the best answer(根据短文内容,选择最恰当的答案) (12分)
News of an air crash in the north of England has just been received. The plane, which was on a charter(包机)flight from London to Carlisle, was carrying a party of businessmen on their way to a trade fair. It seems likely that the plane ran into a heavy fog as it neared Carlisle and had to circle for twenty minutes. Everything seemed to be going well. The pilot was in constant radio communication with Grand Control, when the engines suddenly went wrong and all was lost. The plane crashed on the site of the Roman camp at Hadrian’s Hill, a place well known to archaeologists(考古学家)and tourists.
So far few details have been reported, but it is feared that at least twenty people lost their lives, among them the pilot, who was killed at once. The local ambulance and firemen were on the scene
2013虹口区初三数学一模篇十:2012年上海初三数学一模试卷及答案(虹口)
2013学年度第一学期初三年级数学学科期终教学质量监控测试题
(满分150分,考试时间100分钟)
姓名_______________
一、选择题:(本大题共6题,每题4分,满分24分)
1.下列二次函数解析式中,其图像与y轴的交点在x轴下方的是( )
A.yx23 ; B.yx23 ; C.yx23; D.yx2. 2.关于二次函数y2x21的图像,下列说法中,正确的是( )
A.开口向上; B.对称轴是直线x1; C.有最高点(0,1); D.是中心对称图形. 3.在RtABC中,A90,AC5,AB12,那么sinB的值是( ) A.
512125 ; B.; C.; D.. 1251313
4.二次函数y(2x1)23的图像的顶点坐标为( )
A.(-1,3); B.(1,-3); C.(
11
,-3); D.(,-3). 22
AOCO
DOBO
; D.
5.如图,分别以下列选项作为一个已知条件,其中不一定能得到△AOB∽△COD的是( ) ...A.∠BAC=∠BDC; B.∠ABD=∠ACD; C.
6.如图,已知EF∥CD,DE∥BC,下列结论中,不一定正确是( ) ...
AOOB
ODCO
.
ADABADACBC二、填空题:(本大题共12题,每题4分,满分48分) 7.实数2与0.5的比例中项是.
2
8.抛物线y2(x1)3的顶点坐标为
2
A.
AF
AD
; B.
AE
AF
; C.
DE
EFCD
; D.
ABAD
ACAE
.
9.在平面直角坐标系中,平移抛物线yx2x8使它经过原点,写出平移后抛物线的一个解析式 .
10.如果△ABC的三边长分别为3、4、5,与其相似的△A’B’C’的最长边为15,那么△A’B’C’的周
长 . 11
.已知:2sin(15)
12.如图,若AD3AO,则当CO:BO的值为时,有AB∥CD成立.
13.抛物线ya(x2)c的图像如图所示,该抛物线于x轴交于A、B两点,若A点的坐标为(1,0),则B点的坐标为14.如图,在△ABC中, BC=3,点G是△ABC的重心,如果DG∥BC,那么DG= 15.如图,某商场开业,要为一段楼梯铺上红地毯,已知楼梯高AB=6m,坡面AC的坡度i
1:
2
4,3
则至少需要红地毯 m.
16.如图,等腰梯形ABCD中,AD∥BC
,AD
,BCB45˚,直角三角板含45度角的顶点E在边BC上移动,一直角边始终经过点A,斜边与CD交于点F.若△ABE为等腰三角形,则CF的长等于 .
,AB的垂直平分线DE交BC的延长线于AC4,BC3,17.如图,在Rt△ABC中,ACB90°
点E,则CE的长为 .
第18题 18.已知△ABC中,ABACm,ABC72,BB1平分ABC交AC于B1,过B1作B1B2//BC交AB于B2,作B2B3平分AB2B1交AC于B3,过B3作B3B4//BC交AB于B4,则线段B3B4的长度为 .(用含有m的代数式表示) 三、解答题(本大题共7题,满分78分) 19.(本题满分10分如图,梯形ABCD中,AD∥BC,点E是边AD的中点,连结BE交AC于
G
点F,BE的延长线交CD的延长线于点G.
GEAE
. GBBC
(2)若GE2,BF3.求线段EF的长.
(1)求证:
B
A
E
D
F
C
20.(本题满分10分,第(1)小题满分6分,第(2)小题满分4分)
如图是某货站传送货物的平面示意图, AD与地面的夹角为60°.为了提高传送过程的安全性,工人师傅欲减小传送带与地面的夹角,使其由45°成为37°, 因此传送带的落地点由点B到点C向前移动了2米.
(1)求点A与地面的高度; (2)如果需要在货物着地点C的左侧留出2米,那么请判断距离D点14米的货物Ⅱ是否需要挪走,并说明理由.
(参考数据:sin37°取0.6,cos37°取0.8,tan37°取0.75
1.73)
21.(本题满分10分,第(1)小题满分5分,第(2)小题满分5分)
如图,在Rt△ACB中,ACB90°,点D在边AB上,DE平分CDB交边BC于点E,EM是线段BD的垂直平分线.
CDBE
(1)求证:; BCBD
4
cosB,求CD的长. (2)若AB10,
5
22.(本题满分12分)如图,在矩形ABCD中,AB4,AD6,点P是射线DA上的一个动点,将三角板的直角顶点重合于点P,三角板两直角中的一边始终经过点C,另一直角边交射线BA于点E.
(1)判断△EAP与△PDC一定相似吗?请证明你的结论;
(2)设PDx,AEy,求y与x的函数关系式,并写出它的定义域;
(3)是否存在这样的点P,是△EAP周长等于△PDC周长的2倍?若存在,请求出PD的长度;若不存在,
P
请简要说明理由. AD
E
CB
23.(本题满分12分)如图,点A在x正半轴上,点B在y正半轴上,tan∠OAB2,抛物线
yx2mx2的顶点为D,且经过A、B两点.
(1)求抛物线解析式;
(2)将ΔOAB绕点A旋转90˚后,点B落在点C处,将上述抛物线沿y轴上下平移后过C点,写出点C坐标及平移后的抛物线解析式;
(3)设(2)中平移后抛物线交y轴于B1,顶点为D1,点P在平移后的图像上,且SΔPBB12SΔPDD1,求点P坐标.
24.(本题满分12分,第(1)小题满分3分,第(2)小题满分4分,第(1)小题满分5分) 如图,在平面直角坐标系xOy中,已知抛物线yx2bxc经过A(0,3),B(1,0)两点,顶点为M.
(1)求b、c的值;
(2)将△OAB绕点B顺时针旋转90°后,点A落到点C的位置,该抛物线沿y轴上下平移后经过点C,求平移后所得抛物线的表达式;
(3)设(2)中平移后所得的抛物线与y轴的交点为A1,顶点为M1,若点P在平移后的抛物线上,且满足△PMM1的面积是△PAA1面积的3倍,求点P的坐标.
25.(本题满分12分,第(1)小题满分4分,第(2)小题满分6分,第(3)小题满分4分)
3
如图,已知梯形ABCD,AD∥BC,AB=AD=5,tanDBC.E为射线BD上一动点,过点
4
S
E作EF∥DC交射线BC于点F.联结EC,设BE= x,ECFy.
SBDC (1)求BD的长;
(2)当点E在线段BD上时,求y关于x的函数关系式,并写出自变量x的取值范围; (3)联结DF,若△BDF与△BDA相似,试求BF的长.
2011学年第一学期初三年级数学学科期终教学质量监控测试卷参考答案
一、选择题:(本大题共6题,每题4分,满分24分) 1.B ; 2.C ; 3.D ; 4.C; 5.C ; 6.B .
二、填空题:(本大题共12题,每题4分,满分48分)
7. 1 8. (1,3) 9. yx2 10.36 11.45° 12.2
713.(3,0) 14.1 15.14 16.2,2.5,423 17 18.
m2m)
6
三、解答题(本大题共7题,满分78分)
19.(本题满分10分如图,梯形ABCD中,AD∥BC,点E是边AD的中点,连结BE交AC于点F,BE的延长线交CD的延长线于点G. (1)求证:
G
3
GEAE
. GBBC
GEEDAE
; GBBCBC
B
A
E
D
(2)若GE2,BF3.求线段EF的长. 19、(1)证明:∵AD∥BC,∴△GED∽△GBC,∴(2)设EFx,
∵AD∥BC,∴△AEF∽△CBF, ∴
F
C
AEEFx22
,即x5x60, BCBF3x5
解得x11,x26(舍去) 20.(本题满分10分)
解:(1)经配方得:yx3)2…………………………………………………(2分) ∴顶点坐标为(3,2),对称轴为直线x3,………………………………(2分,2分) (2)画图正确.…………………………………………………………………………(4分) 20.(本题满分10分,第(1)小题满分6分,第(2)小题满分4分) 解:(1)作AE⊥BC于点E , ……………………………………………………(1分)
设AEx,
12
2
4
x,……………………………………(1分) 3
在Rt△ABE中, BEAEcotABEx,……………………………………(1分)
在Rt△ACE中,CEAEcotACE ∵BC=CE-BE,
4
xx2 解得x6.………………………………………………………(2分) 3
答:点A与地面的高度为6米.……………………………………………………(1分) (2)结论:货物Ⅱ不用挪走. ………………………………………………………(1分)
在Rt△ADE
中,EDAEcotADE6 ……………………(1分) cotACE…………………………………………………………(8 CEAE1分)
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