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曲靖Only one培训机构(初中部)中考真题

曲靖Only one培训机构(初中部)中考真题
曲靖Only one培训机构(初中部)中考真题

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曲靖Only one培训机构(初中部)中考真题

数学试题(2)

满分120分,考试时间120分钟

一、选择题(本题有10小题,每小题4分,共40分。每小题只有一个选项是正确的,

不选、多选、错选-均不给分)

1.在0,l,一2,一3.5这四个数中,是负整数的是( )

A.0 B.1 C.一2 D.一3.5

2.下列长度的三条线段能组成三角形的是( )

A.1cm, 2cm, 3.5cm B.4cm, 5cm, 9cmC.5cm,8cm, 15cm D.6cm,8cm, 9cm

3.如图,么AOB是⊙0的圆心角,∠AOB=80°,则弧AB所对圆周角∠ACB 的度数是( )

A.40° B.45° C.50° D.80°

4.由两块大小不同的正方体搭成如图所示的几何体,它的主视图是( )

5.抛物线y=x2一3x+2与y轴交点的坐标是( )

A.(0,2) B.(1,O) C.(0,一3) D.(0,O)

6.九年级(1)班共50名同学,右图是该班体育模拟测试成绩的频数分布直方图(满分为30分,成绩均为整数).若将不低于

29分的成绩评为优秀,则该班此次成绩优秀的

同学人数占全班人数的百分比是( )

A.20% B.44%C.58%D.72%

7.把多项式x2一4x+4分解因式,所得结果是( )

A.x(x一4)+4 B.(x一2)(x+2) C.(x一2)2 2D.(z+2)2

8.某次器乐比赛设置了6个获奖名额,共有ll名选手参加,他们的比赛得分均不相同.若知道某位选手的得分。要判断他能否获奖,在下列ll名选手成绩的统计量中,只需知道( )

A.方差 B.平均数C.众数 D.中位数

9.如图,△ABC中,AB=AC=6,BC=8,AE平分么BAC交BC

于点E,点D为AB的中点,连结DE,则△BDE的周长是( )

A.7+5 B.10 C.4+25 D.12

10.一张等腰三角形纸片,底边长l5cm,底边上的高长

22.5cm.现沿底边依次从下往上裁剪宽度均为3cm的矩形

纸条,如图所示.已知剪得的纸条中有一张是正方形,则这

张正方形纸条是( )

A.第4张 B.第5张 C.第6张 D.第7张

二、填空题(本题有6小题,每小题5分.共30分)

11.方程(x-1)2=4的解是。

12.如图,将△OAB绕点0按逆时针方面旋转至△0′A′B′,使点B恰好落在边A′B′上.已知AB=4cm,BB′=lcm,则A′B长是 cm.

13.学校组织七、八、九年级同学参加某项综合实践活动.

如图所示的扇形统计图表示上述各年级参加人数的分布情况.

已知九年级有80人参加,则这三个年级参加该项综合实践活动共有 人

14.如图,△ABC 中,∠C=90°,AB=8,cosA=4

3,则AC 的长是 。 15.某单位全体员工在植树节义务植树240棵.原计划每小时植树口棵。实际每小时植树的棵数是原计划的1.2倍,那么实际比原计划提前了 小时完成任务(用含口的代数式表示).

16.如图,已知正方形纸片ABCD 的边长为8,⊙0的半径为2,圆心在正方形的中心上,将纸片按图示方式折叠,使EA7恰好与6)0相切于点 A ′(△EFA′与⊙0除切点外无重叠部分),延长FA ′交CD 边于点G ,则A ′G 的长是

三、解答题(本题有8小题共80分)

17.(本题l0分)(1)计算:()121240

-++

-;

(2)先化简,再求值:(3+m)(3-m)+m(m-6)-7,其中m=21

18.(本题6分)在学习中,小明发现:当n=1,2,3时,n2—6n的值都是负数.于是小朋猜想:当n为任意正整数时,n2-6n的值都是负数.小明的猜想正确吗?请简要说明你的理由.

19.(本题8分)在所给的9×9方格中,每个小正方形的边长都是1.按要求画平行四边形,使它的四个顶点以及对角线交点都在方格的顶点上.

(1)在图甲中画一个平行四边形,使它的周长是整数;

(2)在图乙中画一个平行四边形,使它的周长不是整数.(注:图甲、图乙在答题纸上)

20.(本题8分)一个布袋中有8个红球和l6个白球,它们除颜色外都相同.

(1)求从袋中摸出一个球是红球的概率;

(2)现从袋中取走若干个白球,并放入相同数量的红球.搅拌均匀后,要使从袋中摸出一个球是红球的概率是昔,问取走了多少个白球?(要求通过列式或列方程解答)

21.(本题ll分)如图,在平面直角坐标系中,直线AB与Y轴和X轴分别交于点A、点8,与反比例函数y一罟在第一象限的图象交于点c(1,6)、点D(3,x).过点C作CE上y轴于E,过点D作DF上X轴于F.

(1)求m,n的值;

(2)求直线AB的函数解析式;

(3)求证:△AEC∽△DFB.

22.(本题ll分)如图,在△ABC中,∠C=90°,AC=3,BC=4.0为BC边上一点,以0为圆心,OB为半径作半圆与BC边和AB边分别交于点D、点E,连结DE.’

(1)当BD=3时,求线段DE的长;

(2)过点E作半圆O的切线,当切线与AC边相交

时,设交点为F.求证:△FAE是等腰三角形.

23.(本题l2分)某工厂用如图甲所示的长方形和正方形纸板,做成如图乙所彖的竖式与横式两种长方体形状的无盖纸盒.

(1)现有正方形纸板162张,长方形纸板340张.若要做两种纸盒共l00个,设做竖式纸盒2个.①根据题意,完成以下表格:

竖式纸盒(个) 横式纸盒(个)

x

正方形纸板(张) 2(100-x)

长方形纸板(张) 4x

②按两种纸盒的生产个数来分,有哪几种生产方案?

(2)若有正方形纸板162张,长方形纸板口张,做成上述两种纸盒,纸板恰好用完.已知290

24.(本题l4分)如图,在平面直角坐标系中,点A(3,0),B(33,2),(0,2).动点D以每秒1个单位的速度

从点0出发沿OC向终点C运动,同时动点E以每秒2个单位的速度从点A出发沿AB向终点B运动.过点E作EF上AB,交BC于点F,连结DA、DF.设运动时间为t秒.

(1)求∠ABC的度数;

(2)当t为何值时,AB∥DF;

(3)设四边形AEFD的面积为S.①求S关于t的

函数关系式;

②若一抛物线y=x2+mx经过动点E,当S<23时,求m的取值范围(写出答案即可).

2018年云南省曲靖市中考数学试卷(含答案解析版)

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A的对应点A′,则k的值为() A.6 B.﹣3 C.3 D.6 8.(4分)(2018?曲靖)如图,在正方形ABCD中,连接AC,以点A为圆心,适当长为半径画弧,交AB、AC于点M,N,分别以M,N为圆心,大于MN长的一半为半径画弧,两弧交于点H,连结AH并延长交BC于点E,再分别以A、E 为圆心,以大于AE长的一半为半径画弧,两弧交于点P,Q,作直线PQ,分别交CD,AC,AB于点F,G,L,交CB的延长线于点K,连接GE,下列结论:① ∠LKB=22.5°,②GE∥AB,③tan∠CGF=,④S △CGE :S △CAB =1:4.其中正确的是 () A.①②③B.②③④C.①③④D.①②④ 二、填空题(共6题,每题3分) 9.(3分)(2018?曲靖)如果水位升高2m时,水位的变化记为+2m,那么水位下降3m时,水位的变化情况是. 10.(3分)(2018?曲靖)如图:四边形ABCD内接于⊙O,E为BC延长线上一点,若∠A=n°,则∠DCE=°.

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4.(3分)(2019?曲靖)某地资源总量Q一定,该地人均资源享有量与人口数n的函数关 B =;故,的实际意义 Q= = 是 > 5.(3分)(2019?曲靖)在平面直角坐标系中,将点P(﹣2,1)向右平移3个单位长度,

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二、填空题(共8个小题,每小题3分,共24分)。 9.(3分)(2019?曲靖)﹣2的倒数是. 的倒数是﹣ 10.(3分)(2019?曲靖)若a=1.9×105,b=9.1×104,则a>b(填“<”或“>”). 11.(3分)(2019?曲靖)如图,直线AB、CD相交于点O,若∠BOD=40°,OA平分∠COE,则∠AOE=40°.

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