福建省莆田第二十五中学2018-2019学年七年级下学期期中考试数学试题

适用年级:初一
试卷号:634651

试卷类型:期中
试卷考试时间:2019/5/22

1.单选题(共9题)

1.
在-1.732, ,π, 3, 2+,3.212212221…,3.14这些数中,无理数的个数为( )
A. 5 B. 2   C. 3   D. 4
2.
4的平方根是(  )
A.±2B.2C.±4D.4
3.
二元一次方程3x+4y=11在正整数范围内的解有(  )
A.1组B.2组C.3组D.4组
4.
下列方程中是二元一次方程的是(   )
A.5x+y=3xyB.C.3x=2yD.x2-y=6
5.
气象台为了预报台风,首先要确定它的位置,下列说法中,能确定台风具体位置的是(  )
A.西太平洋
B.距台湾30海里
C.东经33°,北纬36°
D.台湾岛附近
6.
点P(﹣2,1)在平面直角坐标系中所在的象限是()
A.第一象限B.第二象限C.第三象限D.第四象限
7.
在平面直角坐标系中,点P(-3,4)到x轴的距离为( )
A.3B.-3C.4D.-4
8.
如图,ABCDEF相交于点O,则∠1+∠2+∠3等于( )
A.90°B.120°C.150°D.180°
9.
下列说法中,是真命题的是( )
A.相等的角是对顶角
B.两条直线被第三条直线所截,内错角相等
C.若两条直线都和第三条直线平行,则这两条直线平行
D.若两个角的和为180°,则这两个角互为邻补角

2.选择题(共2题)

10.

根据短文内容,用方框中所给词的正确形式填空,使短文完整、正确。

for   you   be   good   careful   do   should   ever   friend   true

      Middle school is going to use a new way to decide who the {#blank#}1{#/blank#} students are in your class. The top students won't only have high marks. They will also be kids who don't dye (染) their hair, smoke or drink. Here {#blank#}2{#/blank#} some of the new rules.

      Tell the {#blank#}3{#/blank#}. Have you ever copied someone else's work on an exam? Don't do it again! If you have played computer games for two hours in your room, don't tell your parents you have{#blank#}4{#/blank#}homework.

      Do more at school. Good students love animals and care for other people. You should learn more about animals and try to protect them. Be {#blank#}5{#/blank#} to other people. Try to think of others, not only yourself.

      Be open to new ideas. Have you {#blank#}6{#/blank#} thought that people could live on the moon? You {#blank#}7{#/blank#} welcome new ideas, because they make life better for everyone.

      Protect {#blank#}8{#/blank#}. If you have to go home late, you should let your parents know. Use the Internet {#blank#}9{#/blank#}. The Internet can be very useful for your studies. But some things on the Internet aren't good {#blank#}10{#/blank#} kids, so try to look at Websites that are good for you.

11.一个长方体的高增加3分米后,就变成了一个正方体.这个正方体的表面积比原来增加了60平方分米,原来长方体的表面积是多少?

3.填空题(共5题)

12.
实数8的立方根是_____.
13.
如图,将正整数按如图所示规律排列下去,若用有序数对(m,n)表示m排从左到右第n个数.如(4,3)表示9,则(8,4)表示 _________
14.
若点B的坐标为(2,1),ABy轴,且AB=4,则点A的坐标为________________.
15.
已知点M(a+3,4-a)在y轴上,则点M的坐标为________.
16.
如图,两张长方形纸条交叉重叠在一起,若∠1=50°,则∠2的度数为________.

4.解答题(共8题)

17.
已知a是2的算术平方根,的相反数是0,c是-1的立方根,求a2+b2+c2的值.
18.
计算:
(1)求方程中x的值:. (2)计算:
19.
解下列方程组.
(1)  (2)
20.
如图,在四边形ABCD中,ADBC,∠1=∠2,∠2与∠3互余,以点C为顶点,CD为一边,在四边形ABCD的外部作∠5,使∠5=∠4,交DE于点F,试探索DECF的位置关系,并说明理由.
21.
如图,两条射线AMBN,线段CD的两个端点CD分别在射线BNAM上,且∠A=∠BCD=108°.E是线段AD上一点(不与点AD重合),且BD平分∠EBC
(1)求∠ABC的度数.
(2)请在图中找出与∠ABC相等的角,并说明理由.
(3)若平行移动CD,且ADCD,则∠ADB与∠AEB的度数之比是否随着CD位置的变化而发生变化?若变化,找出变化规律;若不变,求出这个比值.
22.
如图,已知∠1=∠2,∠3=∠4,求证:BC∥EF.
23.
如图,在四边形ABCD中,已知BE平分∠ABC,∠AEB=∠ABE,∠D=70°.
(1)求证:ADBC
(2)求∠C的度数.
24.
完成下面推理过程
如图,已知DE∥BC,DF、BE分别平分∠ADE、∠ABC,可推得∠FDE=∠DEB的理由:

∵DE∥BC(已知)
∴∠ADE= .(
∵DF、BE分别平分∠ADE、∠ABC,
∴∠ADF=
∠ABE= .(  
∴∠ADF=∠ABE
∴DF∥ .(    
∴∠FDE=∠DE
A.  (     
试卷分析
  • 【1】题量占比

    单选题:(9道)

    选择题:(2道)

    填空题:(5道)

    解答题:(8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:10

    7星难题:0

    8星难题:5

    9星难题:7