广西防城港市2021—2022学年下学期期末教学质量检测七年级数学试题（含答案）

2022年春季学期教学质量检测

七年级数学参考答案

一、选择题（本大题共12小题，每小题3分，共36分）

二、填空题（本大题共6小题，每小题3分，共18分）

13．； 14．假命题；15．；  16．答案不唯一； 17．一； 18．．

三、解答题（本大题共66分）

19．（本题满分6分）

解：原式=··················································3分

=····························································4分

            =························································5分

            =4·······················································6分

20．（本题满分6分）

解：由①—②得：···········································1分

··························································3分

把代入①得

······················································5分

方程组得解为··············································6分

21．（本题满分6分）

解:解不等式①得·········································2分

      解不等式②得············································4分

不等式组的解集为············································5分

        作图（略）·················································6分

22．（本题满分8分）

    解：（1）（图略）·············································5分  

    （2）（1，－2），（－2，－4），（－1，－1）···················8分

23．（本题满分8分）（每空1分）

证明：

（  两直线平行，同位角相等  ）

   又平分（已知 ）

（ 等量代换  ）

（ 等量代换  ）

（ 内错角相等，两直线平行）

（ 两直线平行，内错角相等）

24．（本题满分10分） 

（1）200 名；··················································3分

（2）解：6000×30%=1800（册）

     答：估计学校购买科普类读物1800册。···························6分

（3）解：n=200×30%=60（人）·····································8分

m=200-60-70-30=40（人）·······································10分

25．（本题满分10分）

（1）解：，····················································1分

·····························································2分

·····························································3分

（2）证明：····················································4分

·····························································5分

·····························································6分

·····························································7分

（3）作图略····················································8分

····························································10分

26．（本题满分12分）

（1）3680元····················································3分

（2）解：设甲校有名学生准备参加演出，乙校有名学生准备参加演出，

  根据题意可得：··············································4分

·····························································6分

      解得：···················································7分

答：甲校有名学生准备参加演出，乙校有名学生准备参加演出.·············8分

（3）由题意得

两校联合购买82套服装需要的费用为：，······························9分

两校联合购买91套服装需要的费用为：，·····························10分

.····························································11分

两校联合购买91套服装最省钱. 12分