湖北省松滋市2017-2018学年七年级第二学期学业水平测试数学试题

适用年级:初一
试卷号:567845

试卷类型:期末
试卷考试时间:2018/12/22

1.单选题(共9题)

1.
以下各数中,、﹣2、0、3、﹣1.732、、3+、0.1010010001…中无理数的个数有(   )
A.1个B.2个C.3个D.4个
2.
下列运算正确的(   )
A.(﹣3)2=﹣9B.
C.D.
3.
小亮在解不等式组时,解法步骤如下:
解不等式①,得x>3,…第一步;
解不等式②,得x>﹣8,…第二步;
所有原不等式组组的解集为﹣8<x<3…第三步.
对于以上解答,你认为下列判断正确的是(   )
A.解答有误,错在第一步B.解答有误,错在第二步
C.解答有误,错在第三步D.原解答正确无误
4.
直角坐标系中,点 P 的坐标为(a+5,a﹣5),则 P 点关于原点的对称点 P′不可能在的象限是(   )
A.第一象限B.第二象限C.第三象限D.第四象限
5.
如图,下列能判定AB∥EF的条件有(    )
①∠B+∠BFE=180°;②∠1=∠2;③∠3=∠4;④∠B=∠5.
A.1个B.2个C.3个D.4个
6.
如图,直线m∥n,将含有45°角的三角板ABC的直角顶点C放在直线n上,则∠1+∠2等于(  )
A.30°B.40°C.45°D.60°
7.
如图是一个运算程序的示意图,若开始输入x的值为81,则第2014次输出的结果为()
A.3B.27C.9D.1
8.
甲、乙两人做同样的零件,如果甲先做1天,乙再开始做,5天后两人做的一样多,如果甲先做30个,乙再开始做,4天后乙反比甲多做10个.甲,乙两人每天分别做多少个?设甲,每天做x个,乙每天做y个,列出的方程组是(   )
A.B.
C.D.
9.
下列调查方式合适的是(   )
A.为了了解市民对电影《战狼》的感受,小华在某校随机采访了8名初三学生
B.为了了解我国中学生对国家“一带一路”的战略的知晓率,小民在网上向3位中学生好友做了调查
C.为了了解“嫦娥一号”卫星零部件的状况,检测人员采用了普查的方式
D.为了了解电视栏目《朗读者》的收视率,统计人员采用了普查的方式

2.选择题(共5题)

10.阅读理解

    Knowing how much her own children loved presents at Christmas, Ann Sutton always tried to seek help for one or two poor families. With a social worker mother, the Sutton children had inherited her commitment to service, and knew never to take their good fortune at Christmas for granted. This year, Kinzie, her seven-year-old daughter was thrilled that Santa Claus would make a special visit to a 22-year-old mother named Ashley who worked in a factory raising her 12-month-old son by herself.

    The phone rang on Sunday. A representative from a local organization was calling to say that the aid Ann had requested for Ashley had fallen through. No Santa Claus, no presents, nothing.

    Ann saw the cheer vanish from her children's faces at the news. Without a word, Kinzie ran into her bedroom. She returned, her face set with determination. Opening up her piggy bank, she put all the coins onto the table: $3.30. Everything she had.

    “Mom,” she told Ann, “I know it's not much. But maybe this will buy a present for the baby.”

    At a breakfast meeting the next day, Ann told her coworkers about her daughter's story. To her surprise, staff members began to open their purses and empty their pockets to help Kinzie. By day's end, the story of Kinzie's gift had spread beyond Ann's office. She received a call from an unknown donor. If a seven-year-old could give everything she had, he said, he should at least match her gift 100 to 1. He contributed $300.

    On Christmas Eve, Ann drove through the pouring rain to the small trailer where the Ashleys lived. Then she began to unload the gifts from the car, handing them to Ashley one by one.

    Ashley was very moved. Reflecting on a little girl's generosity, Ashley says she'll one day be able to do something similar for someone else in need. “Kinzie could have used that money for herself, but she gave it away,” Ashley says. “She's the type of kid I'd like my son to grow up to be.”

11.阅读理解

    Knowing how much her own children loved presents at Christmas, Ann Sutton always tried to seek help for one or two poor families. With a social worker mother, the Sutton children had inherited her commitment to service, and knew never to take their good fortune at Christmas for granted. This year, Kinzie, her seven-year-old daughter was thrilled that Santa Claus would make a special visit to a 22-year-old mother named Ashley who worked in a factory raising her 12-month-old son by herself.

    The phone rang on Sunday. A representative from a local organization was calling to say that the aid Ann had requested for Ashley had fallen through. No Santa Claus, no presents, nothing.

    Ann saw the cheer vanish from her children's faces at the news. Without a word, Kinzie ran into her bedroom. She returned, her face set with determination. Opening up her piggy bank, she put all the coins onto the table: $3.30. Everything she had.

    “Mom,” she told Ann, “I know it's not much. But maybe this will buy a present for the baby.”

    At a breakfast meeting the next day, Ann told her coworkers about her daughter's story. To her surprise, staff members began to open their purses and empty their pockets to help Kinzie. By day's end, the story of Kinzie's gift had spread beyond Ann's office. She received a call from an unknown donor. If a seven-year-old could give everything she had, he said, he should at least match her gift 100 to 1. He contributed $300.

    On Christmas Eve, Ann drove through the pouring rain to the small trailer where the Ashleys lived. Then she began to unload the gifts from the car, handing them to Ashley one by one.

    Ashley was very moved. Reflecting on a little girl's generosity, Ashley says she'll one day be able to do something similar for someone else in need. “Kinzie could have used that money for herself, but she gave it away,” Ashley says. “She's the type of kid I'd like my son to grow up to be.”

12.阅读理解

    Knowing how much her own children loved presents at Christmas, Ann Sutton always tried to seek help for one or two poor families. With a social worker mother, the Sutton children had inherited her commitment to service, and knew never to take their good fortune at Christmas for granted. This year, Kinzie, her seven-year-old daughter was thrilled that Santa Claus would make a special visit to a 22-year-old mother named Ashley who worked in a factory raising her 12-month-old son by herself.

    The phone rang on Sunday. A representative from a local organization was calling to say that the aid Ann had requested for Ashley had fallen through. No Santa Claus, no presents, nothing.

    Ann saw the cheer vanish from her children's faces at the news. Without a word, Kinzie ran into her bedroom. She returned, her face set with determination. Opening up her piggy bank, she put all the coins onto the table: $3.30. Everything she had.

    “Mom,” she told Ann, “I know it's not much. But maybe this will buy a present for the baby.”

    At a breakfast meeting the next day, Ann told her coworkers about her daughter's story. To her surprise, staff members began to open their purses and empty their pockets to help Kinzie. By day's end, the story of Kinzie's gift had spread beyond Ann's office. She received a call from an unknown donor. If a seven-year-old could give everything she had, he said, he should at least match her gift 100 to 1. He contributed $300.

    On Christmas Eve, Ann drove through the pouring rain to the small trailer where the Ashleys lived. Then she began to unload the gifts from the car, handing them to Ashley one by one.

    Ashley was very moved. Reflecting on a little girl's generosity, Ashley says she'll one day be able to do something similar for someone else in need. “Kinzie could have used that money for herself, but she gave it away,” Ashley says. “She's the type of kid I'd like my son to grow up to be.”

13.

Mary has ________ pet dog. She always takes it to go out for ________ walk.        

14.

Mary has ________ pet dog. She always takes it to go out for ________ walk.        

3.填空题(共7题)

15.
如图,是用大小相等的小正方形按一定规律拼成的,则第10个图形是_________个小正方形,第n 个图形是___________个小正方形.
16.
使式子有意义的m的取值范围是_______
17.
已知关于x的方程3a﹣x=x+2的解为2,则代数式a2+1=______
18.
如果不等式组的整数解仅为2,且a、b均为整数,则代数式2a2+b的最大值=______.
19.
若定义f(a,b)=(﹣a,b),g(m,n)=(m,﹣n),如f(1,2)=(﹣1,2),g(1,2)=(1,﹣2),则f(g(2,3))=_______
20.
如图,直线AB∥CD,BC平分∠ABD,∠1=55°,图中∠2=_____
21.
为了了解荆州市2017年3.6万名考生的数学中考成绩,从中抽取了200名考生的成绩进行统计,在这个问题中,下列说法:①这3.6万名考生的数学中考成绩的全体是总体;②每个考生数学中考成绩是个体;③从中抽取的200名考生的数学中考成绩是总体的一个样本;④样本容量是200.其中说法正确的有(填序号)______

4.解答题(共6题)

22.
阅读材料:善于思考的小明在解方程组时,采用了一种“整体代换”的解法,解法如下:
解:将方程②8x+20y+2y=10,变形为 2(4x+10y)+2y=10③,把方程①代入③得,2×6+2y=10,则 y=﹣1;把 y=﹣1 代入①得,x=4,所以方程组的解为: 请你解决以下问题:
(1)试用小明的“整体代换”的方法解方程组
(2)已知 x、y、z,满足试求 z 的值.
23.
计算与求解:
(1).
(2)已知是方程组的解,求a、b的值.
24.
(1)解不等式组解不等式组,并把解集在数轴上标出来.

(2)解不等式组,并写出它的所有整数解.
25.
如图,是一块破损的木板.
(1)请你设计一种方案,检验木板的两条直线边缘AB、CD是否平行;

(2)若AB∥CD,连接BC,过点A作AM⊥BC于M,垂足为M,画出图形,并写出∠BCD与∠BAM的数量关系.
26.
如图1,AM∥CN,点B为平面内一点,AB⊥BC于B,过B作BD⊥AM.
(1)求证:∠ABD=∠C;
(2)如图2,在(1)问的条件下,分别作∠ABD、∠DBC的平分线交DM于E、F,若∠BFC=1.5∠ABF,∠FCB=2.5∠BCN,
①求证:∠ABF=∠AFB;
②求∠CBE的度数.
27.
某地为提倡节约用水,准备实行自来水“阶梯计费”方式,用户用水不超出基本用水量的部分享受基本价格,超出基本用水量的部分实行加价收费,为更好地决策,自来水公司随机抽取部分用户的用适量数据,并绘制了如下不完整统计图(每组数据包括右端点但不包括左端点),请你根据统计图解决下列问题:
(1)此次调查的样本容量是    
(2)补全频数分布直方图,求扇形统计图中“25吨~30吨”部分的圆心角度数;
(3)如果自来水公司将基本用水量定为每户25吨,那么该地20万用户中约有多少用户的用水全部享受基本价格?
试卷分析
  • 【1】题量占比

    单选题:(9道)

    选择题:(5道)

    填空题:(7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:1

    5星难题:0

    6星难题:11

    7星难题:0

    8星难题:5

    9星难题:5