2015-2016学年江苏省泰州中学附中七年级下第一次月考数学试卷(带解析)

适用年级:初一
试卷号:625740

试卷类型:月考
试卷考试时间:2017/7/27

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.
多边形的边数增加1,则它的外角和( )
A.不变B.增加180°C.增加360°D.无法确定
3.
下列各组长度的3条线段,不能构成三角形的是( )
A.6cm、5cm、10cmB.5cm、4cm、9cm
C.4cm、6cm、9cm D.2cm、3cm、4cm
4.
下列各式
(1)b5×b5=2b5
(2)(﹣2a22=﹣4a4
(3)(an﹣13=a3n﹣1
(4)2m+3n=6m+n
(5)(a﹣b)5(b﹣a)4=(a﹣b)20
(6)﹣a3×(﹣a)5=a8
其中计算错误的有( )
A.3个B.4个C.5个D.6个
5.
如图,点EAC的延长线上,下列条件中能判断ABCD的是( )
A.∠3=∠4B.∠D=∠DCEC.∠1=∠2D.∠ABD=∠2
6.
下列说法中,不正确的是()
A.同位角相等,两直线平行;
B.两直线平行,内错角相等;
C.两直线被第三条直线所截,同旁内角互补;
D.同旁内角互补,两直线平行

2.选择题(共1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.

3.填空题(共7题)

8.
如图,在△ABC中,∠B=46°,∠C=54°,AD平分∠BAC,交BC于D,DE∥AB,交AC于E,则∠ADE的大小是___________.
9.
如图6,点D是△ABC的边BC上任意一点,点E、F分别是线段AD、CE的中点,且△ABC的面积为20,则△BEF的面积=_______.
10.
三角形的三边长为3,a,7,如果这个三角形中有两条边相等,那么它的周长是
11.
若一个多边形每个内角为140°,则这个多边形的边数是________.
12.
已知am=2,an=5,则am+n=________
13.
若27x=312,则x=________
14.
如图,将一张长方形纸片沿EF折叠后,点D,C分别落在D′,C′的位置上,ED′的延长线与BC的交点为G,若∠EFG=56°,则∠2﹣∠1=    

4.解答题(共7题)

15.
如图,△ABC中,AD⊥BC于点D,BE平分∠ABC,若∠ABC=64°,∠AEB=70°.

(1)求∠CAD的度数;
(2)若点F为线段BC上的任意一点,当△EFC为直角三角形时,求∠BEF的度数.
16.
如图,∠ABD和∠BDC的平分线交于E,BE的延长线交CD于点F,∠1+∠2=90°.
(1)求证:AB∥CD;
(2)求证:∠2+∠3=90°.
17.
四边形ABCD中,∠A=145°,∠D=75°.

(1)如图1,若∠B=∠C,试求出∠C的度数;
(2)如图2,若∠ABC的角平分线BE交DC于点E,且BE∥AD,试求出∠C的度数;
(3)如图3,若∠ABC和∠BCD的角平分线交于点E,试求出∠BEC的度数.
18.
已知:5a=4,5b=6,5c=9,
(1)求52a+c﹣b的值;
(2)试说明:2b=a+c.
19.
先化简,再求值:a3×(﹣b3)+(﹣ab23,其中a=,b=4.
20.
阅读材料:①1的任何次幂都等于1;②﹣1的奇数次幂都等于﹣1;③﹣1的偶数次幂都等于1;④任何不等于零的数的零次幂都等于1.
试根据以上材料探索使等式(2x+3)x+2015=1成立的x的值.
21.
如图,平行光线AB与DE射向同一平面镜后被反射,此时∠1=∠2,∠3=∠4,那么反射光线BC与EF平行吗?说明理由.
试卷分析
  • 【1】题量占比

    单选题:(6道)

    选择题:(1道)

    填空题:(7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:6

    7星难题:0

    8星难题:3

    9星难题:11