江苏省滨海县大套中学2018-2019学年七年级下学期第一次质量检测数学试题

适用年级:初一
试卷号:642664

试卷类型:月考
试卷考试时间:2019/4/6

1.单选题(共6题)

1.
若a=-0.32,b=-3-2,c=()-2,d=()0,则a、b、c、d大小关系正确的是(    )
A.a<b<c<dB.b<a<d<c
C.a<d<c<bD.c<a<d<b
2.
计算x2·x4的结果是(    )
A.x8B.x6C.2x2D.2x3
3.
∠1与∠2是内错角,∠1=30°,则∠2的度数为(   )
A.30°B.150°C.30°或150°D.不能确定
4.
下列长度的三根木棒首尾相接,不能做成三角形框架的是(    )
A.4cm、7cm、3cmB.7cm、3cm、8cm
C.5cm、6cm、7cmD.2cm、4cm、5cm
5.
如果(am·bn·b)3=a9b15,那么m、n的值分别为(    )
A.m=9,n=-4B.m=3,n=4C.m=4,n=3D.m=9,n=6
6.
如果一个多边形的内角和等于720°,则这个多边形是( )
A.四边形B.五边形C.六边形D.七边形

2.选择题(共4题)

7.

根据短文理解, 从A、B、C、D四个选项中选择最佳答案填空。

    An old friend from the US whom I was looking forward to staying with telephoned from the airport to tell me that he had arrived. I was still at the 1  at that time, but I had got everything ready for his arrival. After letting him know where my house was, I told him that I had left the  2under the doormat(门垫),  3  I was likely to be home rather late. I told him to go into the 4 and help himself to food and drink. Two hours later my friend 5 me from the house. At the moment, he said, he was listening to some of my records after having just had a truly wonderful 6 . He had found a cooker and  7  two eggs and he helped himself to some cold chicken from the ice box. He said he was drinking a glass of orange juice and he hoped I would 8him. When I asked him if he had reached the house without difficulty, he answered, "I was not able to find the key,  9 luckily, the living-room windows Just by the apple tree were left open and you know what I could do." I listened to all this in 10 . In front of my living-room there was no apple tree at all.

8.已知 {#mathml#}e1{#/mathml#} 、 {#mathml#}e2{#/mathml#} 、 {#mathml#}e3{#/mathml#} 均为单位向量,其中任何两个向量的夹角均为120°,则| {#mathml#}e1{#/mathml#} + {#mathml#}e2{#/mathml#} + {#mathml#}e3{#/mathml#} |=(   )
9.已知 {#mathml#}e1{#/mathml#} 、 {#mathml#}e2{#/mathml#} 、 {#mathml#}e3{#/mathml#} 均为单位向量,其中任何两个向量的夹角均为120°,则| {#mathml#}e1{#/mathml#} + {#mathml#}e2{#/mathml#} + {#mathml#}e3{#/mathml#} |=(   )
10.如图:把4个完全一样棱长为1cm的正方体,摆成一个长方体,这个长方体有几个面露在

外面?露在外面的面的面积和是多少?

 

3.填空题(共6题)

11.
计算机是将信息转换成二进制数进行处理的,二进制即“逢2进1”,如(101)2表示二进制数,将它转换成十进制的形式是:1×22+0×21+1×20=5,那么将二进制数(10101)2转换成十进制数是________.
12.
已知22×29=2n+1,则n的值为______.
13.
如图,AB∥CD,EG⊥AB,∠1=50°,则∠E的度数等于______.
14.
△ABC的高为AD,角平分线为AE,中线为AF,则把△ABC的面积分成相等两部分的线段是______.
15.
如果x+4y-3=0,那么2x×16y=________.
16.
一个十边形所有内角都相等,它的每一个外角等于_____度.

4.解答题(共9题)

17.
计算:
(1)
(2)
(3)
(4)(p-q)2(q-p)4÷(q-p)2
18.
用简便方法计算下列各题:
(1)(0.25)2019×42019
(2)0.24×0.44×12.54
19.
已知32m=5,3n=10.
(1)求32m+n的值;
(2)求32m-n的值.
20.
阅读材料:
求l+2+22+23+24+…+22019的值.
解:设S=l+2+22+23+24+…+22018+22019…①
则2S=2+22+23+24+25+…+22019+22020…②
②-①,得2S﹣S=22020-l
即S=22020-l
∴1+2+22+23+24+…+22019=22020-l
仿照此法计算:
(1)计算:1+3+32+33+34+…+3100.
(2)计算:1++++…++=________(直接写答案)
21.
如图,已知BD平分∠ABC,点F在AB上,点G在AC上,连接FG、FC,FC与BD相交于点H,如果∠GFH与∠BHC互补.
(1)说明:∠1=∠2.
(2)若∠A=80°,FG⊥AC,求∠ACB的度数.
22.
四边形ABCD中,BE、DF分别是∠ABC、∠ADC的平分线.且∠A=∠C=90°,
(1)说明:∠1+∠2= 90°,
(2)试猜想BE与DF有何位置关系?请说明理由.
23.
如图,∠1=45°,∠2=135°,l1与l2平行吗?试说明理由.
24.
一个多边形,除一个内角外,其余各内角之和等于2020°,求这个内角的度数及多边形的边数.
25.
已知如图1,线段AB、CD相交于点O,连结AC、BD,我们把形如图1的图形称之为“8字形”,那么在这一个简单的图形中,到底隐藏了哪些数学知识呢?下面就请你发挥聪明才智,解决以下问题:
(1)在图1中,请写出∠A、∠B、∠C、∠D之间的数量关系,并说明理由;
(2)仔细观察,在图2中“8字形”的个数有_____个;
(3)在图2中,若∠B=76°,∠C=80°,∠CAB和∠BDC的平分线AP和DP相交于点P,并且与CD、AB分别相交于M、N,利用(1)中的结论,试求∠P的度数;
(4)在图3中,如果∠B和∠C为任意角,并且AP和DP分别是∠CAB和∠BDC的三等分线,即
∠PAO=∠CAO,∠BDP=∠BDO,那么∠P与∠C、∠B之间存在的数量关系是_______(直接写出结论即可).
试卷分析
  • 【1】题量占比

    单选题:(6道)

    选择题:(4道)

    填空题:(6道)

    解答题:(9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:6

    7星难题:0

    8星难题:7

    9星难题:7