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初三下册数学试卷及答案(word版)

初三下册数学试卷及答案(word版)
初三下册数学试卷及答案(word版)

初三下册模拟试卷

数学试题

说明:

1、本试题分为1卷和2卷两部分,第1卷尾选择题,第2卷为非选择题,考试时间120分钟,满分150分。

2、答题前将密封线内的项目填写清楚。

3、考试过程中允许考生进行剪、拼、折叠等实验。

第一卷

注意事项:

请考生将自己的姓名、准考证号、考试科目涂写在答题卡上。每小题选出答案后,用2B铅笔把答题卡对应题目的答案标号涂黑,如要改动,必须用橡皮擦干净,再选涂其它答案。

一、选择题(本题共12个小题,每小题4分,共48分。每小题都给出标号为ABCD四个备选答案,其中有且只有一个

....)

....是正确的

1、-8的立方根是

A、2

B、-2

C、

D、

2、下列四个几何体中,三视图(主视图、左视图、俯视图)相同的几何体是

3、手工制作课上,小红利用一些花布的边角料,剪裁后装饰手工画,下面四个图案是她剪裁出的空心不等边三角形、等边三角形、正方形、矩形花边,其中,每个图案花边的宽度都相等,那么,每个图案中花边的内外边缘所围成的几何图形不相似的是

4、据统计,截止5月31日上海世博会累计入园人数为803万。这个数字用科学计数法表示为

A、8×106

B、8.03×106

C、8.03×107

D、803×104

5、如图,等腰△ABC中,AB=AC,∠A=20°。线段AB的垂直平分线交AB于D,交AC于E,连接BE,则∠CBE等于

A、80°

B、70°

C、60°

D、50°

6、某射击队要从四名运动员中选拔一名运动员参加比赛,选拔赛中每名队员的平均成绩

与方差S2如下表所示,如果要选择一个成绩高且发挥稳定的人参赛,则这个

人应是

A、甲

B、乙

C、丙

D、丁

7、如图,小区的一角有一块形状为等梯形的空地,为了美化小区,社区居委会计划在空地上建一个四边形的水池,使水池的四个顶点恰好在梯形各边的中点上,则水池的形状一定是

A、等腰梯形

B、矩形

C、菱形

D、正方形

8、如图,一串有趣的图案按一定的规律排列,请仔细观察,按此规律第2010个图案是

9、如图,△ABC中,点D在线段BC上,且△ABC∽△DBA,则下列结论一定正确的是

A、AB2=BC·BD

B、AB2=AC·BD

C、AB·AD=BD·BC

D、AB·AD=AD·CD

10、如图,直线y1=k1x+a与y2=k3x+b的交点坐标为(1,2),则使y1∠y2的x的取值范围为

A、x>1

B、x>2

C、x<1 Dx<2

11、如图,△ABC内接于⊙O,D为线段AB的中点,延长OD交⊙O于点E,连接AE,

BE,则下列五个结论①AB⊥DE,②AE=BE,③OD=DE,④∠AEO=∠C,⑤,正确结论的个数是

A、2

B、3

C、4

D、5

12、如图,AB为半圆的直径,点P为AB上一动点,动点P从点A出发,沿AB匀速运动到点B,运动时间为t,分别以AP于PB为直径做半圆,则图中阴影部分的面积S与时间t之间的函数图像大致为

第2卷

二、填空题(本题共6个小题,每小题4分,满分24分)

13、在函数y=,自变量x的取值范围是__________。

14、在如图所示的矩形纸片上作随机扎针实验,则针头扎在阴影区域的概率为

________。

15、方程x2-2x-1=0的两个实数根分别为x

1,x

2

,则(x

1

-1)(x

1

-1)=_________。

16、将两张矩形纸片如图所示摆放,使其中一张矩形纸片的一个顶点恰好落在另一张矩形纸片的一条边上,则∠1+∠2=_____________。

17、计算-2sin60°+(π-1)2=_____________________。

18、如图,在平面直角坐标系中,点O为原点,菱形OABC的对角线OB在x轴上,顶点A 在反比例函数y=的图像上,则菱形的面积为____________。

三、解答题(本大题共8各小题,满分78分)

19、(本题满分6分)先简化,再求值:其中

20、(本题满分10分)

如图,在平面直角坐标系中,△ABC的三个顶点的坐标分别为A(0,1),B(-1,1),C (-1,3)。

(1)画出△ABC关于x轴对称的△A1B1C1,并写出点C1的坐标;

(2)画出△ABC绕原点O顺时针方向旋转90°后得到的△A2B2C2,并写出点C2的坐标;,(3)将△A2B2C2平移得到△A3B3C3,使点A2的对应点是A3,点B2的对应点是B3

,点C2的对应点是C3(4,-1),在坐标系中画出△A3B3C3,并写出点A3,B3的坐标。

21、(本题满分8分)

在烟台市举办的“读好书、讲礼仪”活动中,东华学校积极行动,各班图书角的新书、好书不断增多,除学校购买外,还有师生捐献的图书,下面是七年级(1)班全体同学捐献图书的情况统计图:

请你根据以上统计图中的信息,解答下列问题:

(1)该班有学生多少人?

(2)补全条形统计图;

(3)七(1)班全体同学所卷图书的中位数和众数分别是多少?

22、(本题满分8分)

小刚很擅长球类运动,课外活动时,足球队、篮球队都力邀他到自己的阵营,小刚左右为难,最后决定通过掷硬币来确定。游戏规则如下:连续抛掷硬币三次,如果三次正面朝上或三次反面朝上,则由小刚任意挑选两球队;如果两次正面朝上一次正面朝下,则小刚加入足球阵营;如果两次反面朝上一次反面朝下,则小刚加入篮球阵营。

(1)用画树状图的方法表示三次抛掷硬币的所有结果。

(2)小刚任意挑选两球队的概率有多大?

(3)这个游戏规则对两个球队是否公平?为什么?

23、(本题满分8分)

去冬今春,我国西南地区遭遇历史上罕见的旱灾,解放军某部接到了限期打30口水井大的作业任务,部队官兵到达灾区后,目睹灾情心急如焚,他们增派机械车辆,争分夺秒,每天比原计划多打3口井,结果提前5天完成任务,求原计划每天打多少口井?

24、(本题满分10分)

如图以△ABC的一边AB为直径作⊙O,⊙O与BC边的交点D恰好为BC的中点,过点D 作⊙O的切线交AC边于点E。

(1)求证:DE⊥AC;

(2)若∠ABC=30°,求tan∠BCO的值。

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