江苏省滨淮初中教育集团2018-2019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:207832

试卷类型:月考
试卷考试时间:2019/4/9

1.单选题(共7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.
如图,下列能判定AB∥CD的条件有(   )个.
(1)∠B+∠BCD=180°;
(2)∠1=∠2;
(3)∠3=∠4;
(4)∠B=∠5.
A.1B.2C.3D.4
3.
如图,直线相交于点, ∠1=80°,如果,那么的度数是(    )
A.80°B.90°C.100°D.110°
4.
如图,把一块直角三角板的直角顶点放在直尺的一边上,若∠1=35°,则∠2等于(   )
A.35°B.45°C.55°D.65°
5.
下列条件中,能判定△ABC为直角三角形的是()
A.∠A=2∠B=3∠CB.∠A+∠B=2∠C
C.∠A=∠B=30°D.∠A=∠B=∠C
6.
下列各组数据中,能构成三角形的是(  )
A.1cm、2cm、3cmB.2cm、3cm、4cm
C.4cm、9cm、4cmD.2cm、1cm、4cm
7.
如图,过△ABC的顶点A,作BC边上的高,以下作法正确的是( )
A. B. C. D.

2.选择题(共1题)

8.

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.

3.填空题(共9题)

9.
已知2x+1=16,则x的值是_____.
10.
若x3•(2xk)=2x8,则适合此等式的k=____.
11.
如图,a // b, c 与a ,b都相交,∠1=50°,则∠2=_____.
12.
如图所示,已知a∥b,∠1=29°,∠2=33°,则∠3=_____度. 
13.
如图,AD、BE、CF是△ABC的三条中线,若△ABC的周长是20cm,则AE+CD+BF=____cm.
14.
中,,则= _____.
15.
三角形的三边分别是3、4、x,则x的范围是____.
16.
已知一个等腰三角形的两边长分别为3和6,则该等腰三角形的周长是_____.
17.
如果一个正多边形每一个内角都等于144°,那么这个正多边形的边数是____

4.解答题(共6题)

18.
,求下列式子的值:
(1) (2)
19.
如图,在△ABC中,∠1=∠2,点E、F、G分别在BC、AB、AC上,且EF⊥AB,DG∥BC,请判断CD与AB的位置关系,并说明理由.
20.
如图,EF//AD,.求证:∠DGA+∠BAC=180°.请将说明过程填写完成.

证明:∵EF//AD,(已知)
=_____(_____________________________).

又∵(______)

(________________________).
∴AB//______(____________________________)
∴∠DGA+∠BAC=180°(_____________________________)
21.
如图,在△ABC中,AD是高,AE是∠BAC的角平分线,若∠B=,∠C=,求∠BAD、∠AEB的度数.
22.
(问题背景)
(1)如图1的图形我们把它称为“8字形”,请说理证明∠A+∠B=∠C+∠D

(简单应用)
(2)如图2,AP、CP分别平分∠BAD、∠BCD,若∠ABC=20°,∠ADC=26°,求∠P的度数(可直接使用问题(1)中的结论)
(问题探究)
(3)如图3,直线AP平分∠BAD的外角∠FAD,CP平分∠BCD的外角∠BCE,若∠ABC=36°,∠ADC=16°,猜想∠P的度数为______
(拓展延伸)
(4)在图4中,若设∠C=x,∠B=y,∠CAP=∠CAB,∠CDP=∠CDB,试问∠P与∠C、∠B之间的数量关系为__________________(用x、y表示∠P)
(5)在图5中,AP平分∠BAD,CP平分∠BCD的外角∠BCE,猜想∠P与∠B、D的关系,直接写出结论_________________________.
23.
如图,已知∠A=∠1,∠C=∠D.试说明FD∥BC. 
试卷分析
  • 【1】题量占比

    单选题:(7道)

    选择题:(1道)

    填空题:(9道)

    解答题:(6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:5

    7星难题:0

    8星难题:10

    9星难题:7