江苏省扬州市江都区国际学校2017-2018学年七年级下学期第一次月考数学试题

适用年级:初一
试卷号:642660

试卷类型:月考
试卷考试时间:2018/4/8

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.
一个正五边形与一个正方形的边长正好相等,在它们相接的地方,形成一个完整的“苹果”图案(如图).如果让正方形沿着正五边形的四周滚动,并且始终保持正方形和正五边形有两条边邻接,那么第一次恢复“苹果”的图形时,正方形要绕五边形转(    )圈.
A.4B.3C.6D.8
3.
下列运算正确的是(  )
A.x3•x2=x6B.(ab)2=a2bC.a6+a6=a12D.b2+b2=2b2
4.
已知多项式的积中x的一次项系数为零,则m的值是(   )
A.1B.–1C.–2D.
5.
世界上最小的开花结果植物是澳大利亚的出水浮萍,这种植物的果实像一个微小的无花果,质量只有0.00 000 0076克,用科学记数法表示是(   )
A.7.6×108B.7.6×10-7
C.7.6×10-8D.7.6×10-9
6.
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.5cm,7cm,10cmB.5cm,7cm,13cmC.7cm,10cm,13cmD.5cm,10cm,13cm

2.选择题(共8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.    按要求转换句子
9.    按要求转换句子
10.完成对话 (每格一词)

A : {#blank#}1{#/blank#} you happy with our new house, Winnie?

B : Yes. I like the living room best.

A : {#blank#}2{#/blank#}?

B : Because it faces {#blank#}3{#/blank#}. There's a lot of sunshine.

A: What do you want to {#blank#}4{#/blank#} in the living room.

B: I want to have a party with my friends.{#blank#}5{#/blank#} room do you like, Mum?

A: I like the {#blank#}6{#/blank#}. There are many books in it. I can read books in it.

11.完成对话 (每格一词)

A : {#blank#}1{#/blank#} you happy with our new house, Winnie?

B : Yes. I like the living room best.

A : {#blank#}2{#/blank#}?

B : Because it faces {#blank#}3{#/blank#}. There's a lot of sunshine.

A: What do you want to {#blank#}4{#/blank#} in the living room.

B: I want to have a party with my friends.{#blank#}5{#/blank#} room do you like, Mum?

A: I like the {#blank#}6{#/blank#}. There are many books in it. I can read books in it.

12.完成对话 (每格一词)

A : {#blank#}1{#/blank#} you happy with our new house, Winnie?

B : Yes. I like the living room best.

A : {#blank#}2{#/blank#}?

B : Because it faces {#blank#}3{#/blank#}. There's a lot of sunshine.

A: What do you want to {#blank#}4{#/blank#} in the living room.

B: I want to have a party with my friends.{#blank#}5{#/blank#} room do you like, Mum?

A: I like the {#blank#}6{#/blank#}. There are many books in it. I can read books in it.

13.完成对话 (每格一词)

A : {#blank#}1{#/blank#} you happy with our new house, Winnie?

B : Yes. I like the living room best.

A : {#blank#}2{#/blank#}?

B : Because it faces {#blank#}3{#/blank#}. There's a lot of sunshine.

A: What do you want to {#blank#}4{#/blank#} in the living room.

B: I want to have a party with my friends.{#blank#}5{#/blank#} room do you like, Mum?

A: I like the {#blank#}6{#/blank#}. There are many books in it. I can read books in it.

14.It's a fine day. Let's           .

3.填空题(共7题)

15.
计算
=_____________.
16.
人体中红细胞的直径约为这个数据用科学记数法表示为,那么___________.
17.
如图,一条公路修到湖边时,需拐弯绕湖而过,若第一次拐角∠A=130°,第二次拐角∠B=150°.第三次拐的角是∠C,这时的道路恰好和第一次拐弯之前的道路平行,则∠C为______度.
18.
如图,AB∥CD,直线EF分别交AB、CD于点E、F,EG平分∠AEF,∠1=35º,那么∠2=______度.
19.
若a-b=1,ab=-2,则(a+1)(b-1)=_______.
20.
如果x+4y﹣5=0,那么2x•16y=______.
21.
若5x=24,5y=8,则5xy=___________.

4.解答题(共10题)

22.
你能化简(x﹣1)(x99+x98+…+…+x+1)吗?遇到这样的复杂问题时,我们可以先从简单的情形入手.然后归纳出一些方法.
(1)分别化简下列各式:
(x﹣1)(x+1)=
(x﹣1)(x2+x+1)=
(x﹣1)(x3+x2+x+1)=

(x﹣1)(x99+x98+…+x+1)=
(2)请你利用上面的结论计算:
299+298+…+2+1
399+398+…+3+1
23.
计算:
(1)    
(2)
24.
计算:
(1) 
(2)a2·a4+(a2)3
25.
如图,AB∥CD,AE平分∠BAD,CD与AE相交于F,∠CFE=∠E.求证:AD∥BC.
26.
如图,在△ABC中,点D在BC 上,点E 在AC 上,AD交BE于F. 已知EG∥AD交BC于G, EH⊥BE交BC于H,∠HEG = 50°.
(1)求∠BFD的度数.
(2)若∠BAD=∠EBC,∠C=41°,求∠BAC的度数.
27.
已知△ABC、△DEF是两个完全一样的三角形,其中∠ACB=∠DFE=90°,∠A=∠D=30°.
(1)将它们摆成如图①的位置(点E、F在AB上,点C在DF上,DE与AC相交于点G).求∠AGD的度数.
(2)将图①的△ABC固定,把△DEF绕点F按逆时针方向旋转n°.
①当△DEF旋转到DE∥AB的位置时(如图2), n =
②若由图①旋转后的EF能与△ABC的一边垂直,则n的值为   .
28.
化简求值:
(5x﹣y)(y+2x)﹣(3y+2x)(3y﹣x),其中x=1,y=2
29.
李叔叔刚分到一套新房,其结构如图所示(单位:m),他打算除卧室外,其余部分铺地砖.
(1)至少需要多少平方米地砖?
(2)如果铺的这种地砖的价格为每平方米60元,那么李叔叔至少需要花多少元钱?
30.
探究与发现:

图1 图2 图3
(1)探究一:三角形的一个内角与另两个内角的平分线所夹的角之间的关系
已知:如图1,在△ADC中,DP、CP分别平分∠ADC和∠ACD,
试探究∠P与∠A的数量关系,并说明理由.
(2)探究二:四边形的两个个内角与另两个内角的平分线所夹的角之间的关系
已知:如图2,在四边形ABCD中,DP、CP分别平分∠ADC和∠BCD,
试探究∠P与∠A+∠B的数量关系,并说明理由.
(3)探究三:六边形的四个内角与另两个内角的平分线所夹的角之间的关系
已知:如图3,在六边形ABCDEF中,DP、CP分别平分∠EDC和∠BCD,
请直接写出∠P与∠A+∠B+∠E+∠F的数量关系:__ __ __
31.
如下图,在每个小正方形边长为1的方格纸中,
△ABC的顶点都在方格纸格点上.将△ABC向左平移2格,再向上平移4格.
(1)请在图中画出平移后的△A′B′C′,
(2)再在图中画出△A′B′C′的高C′D′,并求出△A′B′C′的面积.
试卷分析
  • 【1】题量占比

    单选题:(6道)

    选择题:(8道)

    填空题:(7道)

    解答题:(10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:10

    7星难题:0

    8星难题:3

    9星难题:9