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江苏省苏州市姑苏区2018-2019学年八年级(下)期末数学试卷(含答案)

江苏省苏州市姑苏区2018-2019学年八年级(下)期末数学试卷(含答案)
江苏省苏州市姑苏区2018-2019学年八年级(下)期末数学试卷(含答案)

苏州市区学校2018-2019学年第二学期期末考试试卷

八年级数学

本试卷由选择题、填空题和解答题三大题组成,共29小题,满分100分.考试时间120分钟. 一、选择题(本大题共10小题,每小题2分,共20分.)

1x 的取值范围是

A .1x >

B .1x …

C .1x …

D .1x < 2.剪纸是潍坊特有的民间艺术,在如图所示的四个剪纸图案中.既是轴对称图形又是中心对称图形的是

A .

B .

C .

D .

3

A B C D 4.完成以下任务,适合用抽样调查的是

A .调查你班同学的年龄情况

B .为订购校服,了解学生衣服的尺寸

C .对北斗导航卫星上的零部件进行检查

D .考察一批炮弹的杀伤半径.

5.下列说法:①“掷一枚质地均匀的硬币,朝上一面可能是正面”;②“从一副普通扑克牌中任意抽取一张,点数一定是3”

A .只有①正确

B .只有②正确

C .①②都正确

D .①②都错误 6.若11(P x ,1)y ,22(P x ,2)y 是函数5

y x

=图象上的两点,当120x x >>时,下列结论正确的是

A .120y y <<

B .210y y <<

C .120y y <<

D .210y y << 7.如图,在平行四边形ABCD 中,点

E 在边DC 上,连结AE 并延长交BC 的延长线于点

F ,若3AD CF =,那么下列结论中正确的是

A .:1:3FC F

B = B .:1:3CE CD =

C .:1:4CE AB =

D .:1:2A

E A

F =.

第7题图 第8题图 第9题图 第10题图

8.如图,A 是射线5

(0)4

y x x ==

…上一点,过A 作AB x ⊥轴于点B ,以AB 为边在其右侧作正方形ABCD ,过A 的双曲线k y x =交CD 边于点E ,则DE EC

的值为 A .

54 B .95 C .25

36

D .1 9.如图,四边形OABC 和四边形BDEF 都是正方形,反比例函数k

y x

=在第一象限的图象经过点E ,若两正方形的面积差为12,则k 的值为

A .12

B .6

C .12-

D .8

10.如图,正方形纸片ABCD 的边长为4cm ,点M 、N 分别在边AB 、CD 上.将该纸片沿MN 折叠,使点D 落在边BC 上,落点为E ,MN 与DE 相交于点Q .随着点M 的移动,

点Q 移动路线长度的最大值是

A .2cm

B .4cm

C cm

D .1cm

二.填空题(本大题共8小题,每小题2分,共16分.把答案直接填在答题卡相应位置上.) 11.抛掷一枚质地均匀的骰子1次,朝上一面的点数不小于3的概率是 .

12.一水塘里有鲤鱼、鲢鱼共10000尾,一渔民通过多次捕捞试验后发现,鲤鱼出现的频率为0.36,则水塘有鲤鱼 尾. 13.已知

2334b a b =-,则a

b

= .

14.当1x =222028x x -+= .

15.如图,比例规是一种画图工具,使用它可以把线段按一定的比例伸长或缩短,它是由长度相等的两脚AD 和BC 交叉构成的,如果把比例规的两脚合上,使螺丝钉固定在刻度3的地方(即同时使3OA OD =,3)OB OC =,然后张开两脚,使A 、B 两个尖端分别在线段的两端上,若2CD =,则AB 的长是 .

第15题图 第16题图 第17题图 第18题图

16.如图,已知在ABC ?中,BC 边上的高AD 与AC 边上的高BE 交于点F ,且45BAC ∠=?,6BD =,4CD =,则ABC ?的面积为 .

17.如图,在边长相同的小正方形网格中,点A 、B 、C 、D 都在这些小正方形的顶点上,AB ,CD 相交于点P ,则PBD ?与PAC ?的面积比为 .

18.如图,正方形ABCD 中,30AB =,点E 在边CD 上,且3CD DE =.将ADE ?沿AE 对

折至AFE ?,延长EF 交边BC 于点G .连结AG 、CF .下列结论:①ABG AFG ???;②15BG =;③CFG ?是正三角形;④FGC ?的面积为90.其中正确的是 (填所有正

确答案的序号).

三、解答题(11题,64分)

19.(4分)计算:011()3

-+

20.(4分)解分式方程:21133

x x

x x -=

--.

21.(4分)先化简,再求值:(1+a -3a +3)÷4a a 2-9.,其中3a =.

22.(6分)某校有3000名学生.为了解全校学生的上学方式,该校数学兴趣小组以问卷调查的形式,随机调查了该校部分学生的主要上学方式(参与问卷调查的学生只能从以下六个种类中选择一类),并将调查结果绘制成如下不完整的统计图.

根据以上信息,回答下列问题:

(1)参与本次问卷调查的学生共有人,其中选择B类的人数有人.

(2)在扇形统计图中,求E类对应的扇形圆心角α的度数,并补全条形统计图.

(3)若将A、C、D、E这四类上学方式视为“绿色出行”,请估计该校每天“绿色出行”的学生人数.

23.(6分)如图,在平面直角坐标系中,以原点O为位似中心,将OAB

?放大到原来的2倍后得到△OA B'',其中A、B在图中格点上,点A、B的对应点分别为A'、B'.

(1)在第一象限内画出△OA B'';(2)若OAB

?的面积为3.5,求△OA B''的面积.

24.(6分)反比例函数1(0)k

y x x

=>的图象与一次函数2y x b =-+的图象交于A ,B 两点,其中(1,2)A

(1)求这两个函数解析式;

(2)在y 轴上求作一点P ,使PA PB +的值最小,并直接写出此时点P 的坐标.

25.(6分)如图,在Rt △ABC 中,∠C =90°,△ACD 沿AD 折叠,使得点C 落在斜边AB 上的点E 处.

(1)求证:△BDE ∽△BAC ;(2)已知AC =6,BC =8,求线段AD 的长度.

26.(6分)如图,ABC ?为锐角三角形,AD 是BC 边上的高,正方形EFMN 的一边MN 在边BC 上,顶点E 、F 分别在AB 、AC 上,其中24BC cm =,高12AD cm =. (1)求证:AEF ABC ??∽; (2)求正方形EFMN 的边长.

27.(7分)如图,在矩形ABCD 中,AC 为对角线,点P 为BC 边上一动点,连结AP ,过点B 作BQ AP ⊥,垂足为Q ,连结CQ .

(1)证明:ABP BQP ??∽;

(2)当点P 为BC 的中点时,若37BAC ∠=?,求CQP ∠的度数;

(3)当点P 运动到与点C 重合时,延长BQ 交CD 于点F ,若AQ AD =,则

DF

CF

= .

28.(7分) (1)某学校“智慧方园”数学社团遇到这样一个题目:

如图1,在ABC

OAC

∠=?,AO=,

∠=?,75

BAO

?中,点O在线段BC上,30

BO CO=,求AB的长.

:1:3

经过社团成员讨论发现,过点B作//

?就

BD AC,交AO的延长线于点D,通过构造ABD

可以解决问题(如图2).

请回答:ADB

∠=,AB=.

(2)请参考以上解决思路,解决问题:

如图3,在四边形ABCD中,对角线AC与BD相交于点O,AC AD

⊥,AO=,

BO OD=,求DC的长.

∠=∠=?,:1:3

ABC ACB

75

29.(8分)如图1,点O是正方形ABCD的中心,点E是AB边上一动点,在BC上截取=,连结OE,OF.初步探究:在点E的运动过程中:

CF BE

(1)猜想线段OE与OF的关系,并说明理由.

深入探究:

(2)如图2,连结EF,过点O作EF的垂线交BC于点G.交AB的延长线于点I.延长OE 交CB的延长线于点H.

①直接写出EOG

∠的度数.

②若2

AB=,请探究BH BI的值是否为定值,若是,请求出其值;反之,请说明理由

【人教版】2017-2018年八年级下期末考试英语试题(含答案)

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