2016届江苏省句容市石狮中学九年级下学期竞赛数学试卷(带解析)

适用年级:初三
试卷号:87941

试卷类型:竞赛
试卷考试时间:2017/5/17

1.单选题(共4题)

1.
给出四个数最大的数是(   )
A.B.C.D.-4
2.
如图,直线y=kx+b交坐标轴于A(﹣2,0),B(0,3)两点,则不等式kx+b>0的解集是
A.x>3B.﹣2<x<3C.x<﹣2D.x>﹣2
3.
在某校“我的中国梦”演讲比赛中,有9名学生参加决赛,他们决赛的最终成绩各不相同.其中的一名学生想要知道自己能否进入前5名,不仅要了解自己的成绩,还要了解这9名学生成绩的(    )
A.众数B.方差C.平均数D.中位数
4.
如图,将△ABC沿直线DE折叠后,使得点B与点A重合.已知AC=5cm,△ADC的周长为17cm,则BC的长为
A.7cmB.10cmC.12cmD.22cm

2.选择题(共5题)

5.

    We have a big playground in our school .We all like to 1 games 2 after school .It's Friday .We have only two classes 3 the afternoon . 4 school is over(结束的),a lot of students go to the playground quickly.  The boys of Grade Two often 5 soccer. The girls like 6 them playing .Soccer is their favorite sport . Their teacher Mr Li also 7 football. Li Ming , Li Lei and Wei Fang are students of Grade One .They sometimes play 8 the students of Class Two. It’s half past five 9 . It's time 10dinner . My father is waiting for me at the school gate .

6.

    We have a big playground in our school .We all like to 1 games 2 after school .It's Friday .We have only two classes 3 the afternoon . 4 school is over(结束的),a lot of students go to the playground quickly.  The boys of Grade Two often 5 soccer. The girls like 6 them playing .Soccer is their favorite sport . Their teacher Mr Li also 7 football. Li Ming , Li Lei and Wei Fang are students of Grade One .They sometimes play 8 the students of Class Two. It’s half past five 9 . It's time 10dinner . My father is waiting for me at the school gate .

7.

    We have a big playground in our school .We all like to 1 games 2 after school .It's Friday .We have only two classes 3 the afternoon . 4 school is over(结束的),a lot of students go to the playground quickly.  The boys of Grade Two often 5 soccer. The girls like 6 them playing .Soccer is their favorite sport . Their teacher Mr Li also 7 football. Li Ming , Li Lei and Wei Fang are students of Grade One .They sometimes play 8 the students of Class Two. It’s half past five 9 . It's time 10dinner . My father is waiting for me at the school gate .

8.

难以想象这条河有多长。

{#blank#}1{#/blank#} {#blank#}2{#/blank#}hard{#blank#}3{#/blank#} {#blank#}4{#/blank#}how long this river is.

9.

阅读下面文字,选择社会主义核心价值观中的一个词,仿照示例创作一则倡导公民践行社会主义核心价值观的公益广告。要求主旨鲜明、语言简洁,至少使用一种修辞格。

党的十八大从国家、社会和公民三个层面概括了社会主义核心价值观:“富强、民主、文明、和谐,自由、平等、公正、法治,爱国、敬业、诚信、友善。”

示例一:诚信,人生的通行证。

示例二:法治长城始于一砖一石,诚信文明凝聚一点一滴。

3.填空题(共2题)

10.
分解因式: .
11.
要使分式有意义,则的取值范围是

4.解答题(共4题)

12.
先化简:,然后从中选择一个合适的数代入求值。
13.
如图,已知:正方形ABCD中,AB=8,点O为边AB上一动点,以点O为圆心,OB为半径的⊙O交边AD于点E(不与点A、D重合),EF⊥OE交边CD于点F.设BO=x,AE=y.
(1)求y关于x的函数关系式,并写出x的取值范围;
(2)在点O运动的过程中,△EFD的周长是否发生变化?如果发生变化,请用x的代数式表示△EFD的周长;如果不变化,请求出△EFD的周长;
(3)以点A为圆心,OA为半径作圆,在点O运动的过程中,讨论⊙O与⊙A的位置关系,并写出相应的x的取值范围.
14.
如图,在直角坐标系中,矩形OABC的顶点O与坐标原点重合,顶点A,C分别在坐标轴上,顶点B的坐标为(4,2).过点D(0,3)和E(6,0)的直线分别与AB,BC交于点M,N.

(1)求直线DE的解析式和点M的坐标;
(2)若反比例函数(x>0)的图象经过点M,求该反比例函数的解析式,并通过计算判断点N是否在该函数的图象上;
(3)若反比例函数(x>0)的图象与△MNB有公共点,请直接写出m的取值范围.
15.
已知:如图,在△ABC中,∠A=30°,∠B=60°,E为AB的中点。
(1)作∠B的平分线BD,交AC于点D;(要求:尺规作图,保留作图痕迹,不必写作法和证明);
(2)连接DE,求证:△ADE≌△BDE。
试卷分析
  • 【1】题量占比

    单选题:(4道)

    选择题:(5道)

    填空题:(2道)

    解答题:(4道)

  • 【2】:难度分析

    1星难题:0

    2星难题:0

    3星难题:0

    4星难题:1

    5星难题:0

    6星难题:4

    7星难题:0

    8星难题:3

    9星难题:2