2014-2015学年江苏省无锡市八年级上学期期末考试数学试卷(带解析)

适用年级:初二
试卷号:203224

试卷类型:期末
试卷考试时间:2017/7/26

1.单选题(共4题)

1.
点P(-5,2)是第几象限内的点(    )
A.第一象限B.第二象限C.第三象限D.第四象限
2.
甲,乙两人以相同路线前往距离单位10的培训中心参加学习.图中分别表示甲,乙两人前往目的地所走的路程s随时间(分)变化的函数图象.以下说法:①乙比甲提前12分钟到达;②甲的平均速度为15千米/小时;③乙走了8后遇到甲;④乙出发6分钟后追上甲.其中正确的有()

A. 4个 B. 3个 C. 2个 D. 1个
3.
一座建筑物发生了火灾,消防车到达现场后,发现最多只能靠近建筑物底端5米,消防车的云梯最大升长为13米,则云梯可以达该建筑物的最大高度是( )
A.12米B.13米C.14米D.15米
4.
若点(-4,y1),(2,y2)都在直线上,则y1与y2大小关系是( )
A.y1>y2B.y1<y2C.y1=y2D.不能确定

2.选择题(共2题)

5.阅读下面短文,从短文后各题所给的四个选项(A、 B 、C 、D)中,选出可以填入空白处的最佳选项。

    Annie, my neighbor's daughter, was away for her first term at college this year. She is a very sweet girl but just a bit shy. When her birthday month 1, I found out she was feeling a bit blue and 2.

    Her family is quite 3 and finances are tight, so there wouldn't be any birthday visitors.

    I wanted to send her a card and maybe a small gift to 4 her up. I got her school address from her mom and planned to 5 send her something. Then I got a(n) 6!  I thought perhaps I could give her a big 7. I bought some balloons, birthday hats and other small novelties (新奇玩意) at a one-dollar 8.  I took a small 9 and asked three other people in my area to sing Happy Birthday and send some birthday 10 to her. Other people found out 11 we were doing and added their voices, 12 it really sounded like we had a party 13 .

    Then I bought her a small present and a card as 14 originally. The real fun was 15 it to be sent. I arranged everything specially so it was like opening a birthday present!

    At the last minute, I added a pack of small cakes and a box of birthday 16 before sending it off. 

    I got a call a few days later. Annie said her roommate and one of her neighbors in her school got together with her and held the party for her once it arrived. She sounded so 17 and I was so glad that she had some friends to 18 her special day with her.

    It was such an easy and fun thing to do. The people who helped me make the tape still laughed and talked about the 19 experience. And Annie told me it was the most fun birthday she can 20!

6.—Where are the children?

—They{#blank#}1{#/blank#}(plan) for the summer holiday.

3.填空题(共5题)

7.
A(3,-2)关于x轴对称的点的坐标是________.
8.
如图,在一个单位为1的方格纸上,△A1A2A3,△A3A4A5,△A5A6A7, ,是斜边在x轴上、斜边长分别为2,4,6, 的等腰直角三角形.若△A1A2A3的顶点坐标分别为A1(2,0),A2(1,-1),A3(0,0),则依图中所示规律,A2015的坐标为        
9.
如图,BC = EC,∠1 =∠2,要使△ABC≌△DEC,则应添加的一个条件为_____________(答案不惟一,只需填一个)
10.
如图,在△ABC中,∠C=90°,BD是∠ABC的平分线,DE⊥AB,AB=8cm,DC=3cm,则△ADB的面积是      cm2
11.
+|b-4|=0,则以a、b为直角边的直角三角形的斜边长为        

4.解答题(共7题)

12.
(每小题3分,共6分)求下列各式中的x.
(1)   (2)
13.
如图,在四边形ABCD中,AB=DC,延长线段CB到E,使BE=AD,连接AE、AC,且AE=AC,
求证:(1)△ABE≌△CDA;
(2)AD∥EC.
14.
(本题满分10分)如图,直线y=x+2与x轴、y轴分别交于A、B两点,点C的坐标为(﹣3,0),P(x,y)是直线y=x+2的一个动点(点P不与点A重合).

(1)在点P运动过程中,试写出△OPC的面积S与x的函数关系式;
(2)当P运动到什么位置时,△OPC的面积为,求出此时点P的坐标;
(3)过P作AB的垂线分别交x轴、y轴于E、F两点,是否存在这样的点P,使△EOF≌△BOA?若存在,求出点P的坐标;若不存在,请说明理由.
15.
如图,在等边三角形ABC中,点D,E分别在边BC,AC上,且DE∥AB,过点E作EF⊥DE,交BC的延长线于点
A.
(1)求∠F的度数;
(2)若CD=2,求DF的长.
16.
如图,一次函数的图像与x轴、y轴分别交于A、B两点,且A、B的坐标分别为(4,0),(0,3).
(1)求一次函数的表达式.
(2)点C在线段OA上,沿BC将△OBC翻折,O点恰好落在AB上的D处,
求直线BC的表达式.
17.
(本题满分8分)一次函数 y=-x+5的图像与y=kx-1的图像都经过点(2,a).
(1)求a和k的值.
(2)判断点(-1,1)是否在一次函数y=kx-1的图像上.
18.
(本题满分10分)
某乡组织20辆汽车装运A、B、C三个品种的苹果42吨到外地销售。按规定每辆车只装同一品种苹果,且必须装满。每一个品种苹果不少于2车。
苹果品种
A
B
C
每辆汽车运载量(吨)
2.2
2.1
2
每吨苹果获利(百元)
6
8
5
 
(1)设x辆车装运A种苹果,用y辆车装运B种苹果,根据上表提供的信息,求x与y间的函数关系式,并求x的取值范围;
(2)设此次外销活动的利润为 w (百元),求w与x的函数关系式以及最大利润,并写出相应的车辆分配方案。
试卷分析
  • 【1】题量占比

    单选题:(4道)

    选择题:(2道)

    填空题:(5道)

    解答题:(7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:0

    5星难题:0

    6星难题:1

    7星难题:0

    8星难题:3

    9星难题:12