江苏省常州市部分学校2021-2022学年七年级上学期期中质量调研数学【试卷 答案】
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2021~2022学年第一学期期中质量调研2021.11七年级数学试题注意事项:1.本场考试时间为90分钟,全卷100分。2.考生应将答案全部填写在答题卡相应位置上,答在本试卷上无效。一、选择题(本大题共8小题,每小题2分,共16分)1.身份证号码32010619621118××××告诉我们很多信息,其中32、01、06所属的省(直辖市、自治区)、市、县(县级市、区)的编码,1962、11、18是出生的年、月、日;某人身份证号码是32110219810911××××,则此人出生的月份是()A.8B.10C.9D.112.在数,0,,9,-0.1,8844.43,-32%中,其中负数有()A.2个B.3个C.4个D.5个3.下列各数:-1,,0,3.14,,4.112112112…,其中无理数有()A.1个B.2个C.3个D.4个4.下列代数式中,单项式的是(  )A.B.C.D.5.下列各组中的两项不属于同类项的是(  )A.和B.和C.和D.和6.下列计算正确的是(  )A.B.C.D.bOa7.如图,在数轴上有a、b两数,式子:①,②,③,④,⑤,⑥;其中结果为正的式子有()A.1个B.2个C.3个D.4个8.古希腊著名的毕达哥拉斯学派把1、3、6、10…这样的数称为“三角形数”,而把1、4、9、16…这样的数称为“正方形数”.从下图中可以发现,任何一个大于1的“正方形数”都可以看作两个相邻“三角形数”之和.下列等式中,符合这一规律的是()A.13=3+10B.25=9+16C.36=15+21D.49=18+31二、填空题(本大题共10小题,每小题2分,共20分)9.若将向东行驶3km,记作+3km,则向西行驶2km应记作. 10.的倒数是   ;的相反数是   .11.单项式-ab2c3的系数是   ;多项式-2x3-3x+1的次数是   .12.比较大小:  ;  (填“>”、“<”、或“=”符号).13.北京奥运会国家体育场“鸟巢”的建筑面积为258000平方米,那么258000平方米,用科学记数法可表示为平方米.14.小明在电脑上每分钟录入汉字60个,小明的妈妈每分钟录入汉字50个,如果要录入个汉字,那么妈妈比小明多用分钟.15.如图,是计算机程序计算,若开始输入x=-1,则最后输出的结果是.16.在数轴上,点A表示数-1,A、B两点之间的距离为3,则点B表示数  .17.若三个非零有理数a,b,c满足,则  .18.已知在纸面上有一数轴,折叠纸面,数轴上-2表示的点与7表示的点重合.若数轴上A、B两点之间的距离为2021(A在B的左侧),且A、B两点经以上方法折叠后重合,则A点表示的数是.三、计算题(每小题4分,共16分)19.(1)(2)(3)(4)四、计算与化简(20题每小题5分,21题6分,共16分)20.(1)(2)21.先化简,再求值:,其中,. 五、解答题(本大题共4小题,22题6分,23题、24题各8分,25题10分,共32分)22.已知一个多项式与的和是.(1)求这个多项式?(2)若代数式的值是5,求这个多项式的值?23.有一批试剂,每瓶标准剂量为250毫升,现抽取8瓶样品进行检测,结果如下(单位:毫升):256,248,253,260,244,255,235,242.(1)根据标准剂量,用正、负数记数填表;原剂量256248253260244255235242与标准的差距(2)这8瓶样品试剂的总剂量是多少?(3)若增加或者减少每瓶试剂剂量的人工费10元/毫升,问8瓶样品试剂再加工制作成标准剂量需要多少人工费?24.如图,用三种大小不同的六个正方形和一个缺角的长方形拼成大长方形ABCD,其中GH=1,HM=3,设BF=a.(1)用含a的代数式表示CN=cm,DN=cm.(2)用含a的代数式表示大长方形ABCD的周长. 25.【阅读理解】 一般地,数轴上表示数m和数n的两点A、B之间的距离等于m、n两数差的绝对值,即AB=.例如,数轴上表示3和-1的两点A、B之间的距离是AB=;表示-3和2两点C、D之间的距离是CD=.【知识运用】(1)若数轴上表示数a的点位于-4与2之间,求+的值;01234-1-2-3-4-5(2)数轴上一点表示数a,若+=8,求a的值;01234-1-2-3-4-5(3)如图, A、B为数轴上两点,点 A所表示的数为-20,点 B所表示的数为 40.现有一只电子蚂蚁 P从点 B出发,以 5个单位每秒的速度向左运动,设P运动时间为t秒,当  t为何值时, P、A、 B三点中恰有某两点距离是另两点距离的两倍? 2021学年第一学期期中质量调研七年级数学试卷参考答案一、选择题(本大题共8小题,每小题2分,共16分)1.C2.C3.A4.D5.D6.C7.B8.C二、填空题(本大题共10小题,每小题2分,共20分)9.-2km10.-3311.-1312.>>13.2.58×10514.(m50-m60)15.-1116.-4或217.-118.-1008三、计算题(每小题4分,共16分)19.(1)=-10-4+8-3·······························································1分=-17+8······························································3分=-9·····························································4分(2)=2-2×2×2······························································1分=2-8······························································3分=-6······························································4分(3)=(1-5/6+1/4)×(-48)·······························································1分=-48+5/6×48-1/4×48······························································2分=-48+40-12······························································3分=-20······························································4分(4)=-9×5-4÷4·····························································2分=-45-1·····························································3分=-46····························································4分四、计算化简(第20题每小题5分,第21题6分共16分)20.(1)=(-1+2-5)a···························································3分=-4a···························································5分(2)=2x+2y-3x+3y··························································3分=-x+5y···························································5分21.=3x2-7xy-2x2+6xy························································2分=x2-xy··························································4分x2-xy=(-2)2-(-2)×1/2··························································5分=4+1=5·························································6分五、解答题(第22题6分,第23、24题各8分,第25题10分)22.(1)3b-2-(-2a-3b+1)··························································1分=3b-2+2a+3b-1··························································2分=2a+6b-3··························································3分(2)=2(a+3b)-3·························································4分=2×5-3························································5分=7························································6分23.(1)+6-2+3+10-6+5-15-8···········································2分(2)=250×8+(+6-2+3+10-6+5-15-8)=2000-7=1993(毫升)························································4分 答:·······················································5分(3)|+6|+|-2|+|+3|+|+10|+|-6|+|+5|+|-15|+|-8|=6+2+3+10+6+5+15+8=55(毫升)························································6分50×10=550(元)························································7分答:·························································8分24.(1)(a+1)3a·······················································2分(2)DC=CN+DN=a+1+3a=4a+1·······················································3分BC=a×2+(a+1)×3=2a+3a+3=5a+3······················································4分C长ABCD=(4a+1+5a+3)*2··························································6分=18a+8··························································8分25.(1)|a+4|+|a-2|=6··························································2分(2)(8-6)÷2=1a=-4-1=-5··························································3分a=2+1=3························································4分(3)468182436·························································10分
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江苏省常州市部分学校2021-2022学年七年级上学期期中质量调研数学【试卷 答案】