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八年级(下)第三次月考试题

八年级(下)第三次月考试题
八年级(下)第三次月考试题

八年级(下)数学第三次月考试卷

(一至六章)

一. 选择题(3×10)

1.如图,已知直线a ∥b ,∠1=100°,则∠2=( )

A 、 90°

B 、 110°

C 、 70°

D 、80°

2

1

b

a

2.下列说法最恰当的是( )

A 、防治H 1N 1流感期间,某校对学生测量体温,采用抽样调查

B 、了解我市中学生的素质身体状况采用抽样调查法

C 、 要了解某小组各学生某次数学测试成绩采用抽样调查法

D 、 某工厂质检人员检测灯泡的使用寿命采用普查法

3.已知等腰三角形的顶角为80°,则每个底角的度数为( )

A 、 50°

B 、 60°

C 、 70°

D 、 80°

4. 在书桌上放了一直尺和一三角板,则∠1+∠2的度数为( ) A 、 45° B 、 60° C 、 90° D 、 180°

5. 体育课上,我班两个小组10名同学参加立定跳远,要判断哪个小组成绩比较整齐,需要确定成绩的( )

A 、方差

B 、平均数

C 、 众数

D 、中位数

6.?ABC 三边a,b,c 满足()c c b a 1236)4(32

22=++-+-,则 ?ABC 的形状是( ) A 、 直角三角形 B 、 锐角三角形 C 、 钝角三角形 D 、不能确定

7.一组数据54321,,,,x x x x x 的平均数是x ,则另一组数据

52,52,52,52,5254321+++++x x x x x 的平均数是( )

A 、x

B 、 x 2

C 、 52+x

D 、x 4

8.不等式 x 21 >-2的解是( )

A 、x <-4

B 、 x >-4

C 、 x <-1

D 、 x >-1

9.如图RT ⊿ABC 中,∠A=90°,AB=4,AC=3, ∠ABC 和∠ACB 的平分线交于点O ,作O E ∥AC,OF ∥A B,则?OEF 的周长为( )

A 、 3

B 、 4

C 、 5

D 、 6

B

10.如图,以AB 为一边作R t ?ABC,要求点C 也在格点上,这样的三角形能作出多少个( )

A 、 3个

B 、 4个

C 、 5

D 、6个

二.填空(4×6)

11.等腰三角形的两边长为3和7,则周长为 12.若点

)2,1(a a M -+在第二象限,则a 的取值范围是

13.在平面直角坐标系中,已知点ABC B A ?-),0,3(),0,5(的面积是12,点C 的横坐标为-1,则点C 的纵坐标是

14.不等式(a-1)x ≤1-a 的解可以这样做:(1)当a >1时,解为 ,当a <1时,解为 ,当a=1时,解为任何实数.

15.在?ABC 中,AB=13,AC=15,BC 边上的高AD=12,则BC=

16.如图,O 是等边三角形ABC 内一点,∠AOB=110°, ∠BOC= α 度,将三角

形BOC 绕点C 顺时针方向旋转60°得?ADC,连接OD ,当α =150°时,

?AOD 是 三角形,当α= 时, ?AOD 是等腰三角形.

三.解答题

17.(8分)解不等式:

(1)3x-1 ≥x+5 (2)61

2

13+-

-x x <1-312-x

18、(7分)先画出?ABC 沿y 轴向上平移2个单位后的111C B A ?,再画出111C B A ?关于

222C B A ?222C B A ?(1)AP 可表示为 ,DP 可表示为 (用含x 的代数式表示) AP+DP 的最小值为

(2)(知识运用)

9

2+

x

+

4

)

12

(2+

-x

的最小值是

20.(6分)如图,将矩形ABCD沿对角线BD对折,

∠ADB=30°

(1)求∠ADE的度数

(2)求证:EF=CF

20题

21.(6分)如图,AF=CE,AD∥BC,AD=BC,

说明BE与DF之间的关系,并说明理由

21题

22题图1

22.(7分)如图1,直线m∥n ?ABC和?ABF的面积的大小关系是

如图2,边长为6的正三角形ABC,P是BC上的一点,PB=1,以PB为一边作正三角形PBD,则?ADC的面积是

如图3,边长为6的正三角形ABC,P是BC上的一点,PB=2,以PB为一边作正三角形PBD,

则?ADC的面积是

如图4边长为6的正三角形ABC,P是BC上的任意一点,以PB为一边作正三角形PBD,则?ADC的面积是

图2 图3 图4

23.(6分)两位跳高选手5次测试成绩如下(每隔一周测一次,单位:cm)甲:142 145 147 146 145

乙:136 142 140 148 159

(1)平均成绩各为多少?

(2)方差各为多少?谁稳定?

(3)若体育老师估计148得冠军,你认为派谁去?

24.(8分)甲、乙两个仓库向A、B两地运送水泥,已知甲库可调出100吨水泥,乙库可调出80吨水泥,A地需要70吨水泥,B地需要110吨水泥,两库到两地的路程和

设甲库运往A地水泥为x吨,则

(1)用含x的代数式表示运送所有水泥的总运费;

(2)如果要求运送的水泥数是10吨的整数倍,且运费不能超过38000元,则总共有几种运送方案?并求出各种方案中甲库运往A地水泥吨数

?放在平面直角坐标系中,A、B两点分别在y轴25.(10分)如图,将等腰直角ABO

负半轴和x轴正半轴上,且腰长为1,

(1)求A、B两点的坐标;

?的面积;

(2)点C在第三象限,且到x轴距离是2,到y轴距离是1,求OBC

(3)点D是坐标轴上的点,若以A、B、D为顶点的三角形与

?全等,求D点的坐标.

OAC

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