怀化市 2024 年 4 月义务教育质量调研测试卷 七年级 数学 参考答案及评分标准 一、选择题（每小题 3 分，共 30 分） 1、A 2、A 3、B 4、C 5、B 6、D 7、A 8、B 9、C 10、C 二、填空题（每小题 3 分，共 24 分） 11、 8a6b12 12、4xy 13、±4 14、 6 15、12 16、 6 17、0 18、①③④ 三、解答题（8 小题，共 66 分） 19、（6 6 6分）（1）解：原式= x 8x ····························1分 = 7x6 ····························3分 （2 3）解：原式= x x2 y xy2 x2 y xy2 y3 ····························4分 = x3 y3 ····························6分 20、（6 分）（1）解：①+②得：9x 9 所以 x 1 .····························1分 将 x 1代入①中得：7 3y 1 所以 y 2 .····························2分 x 1 所以此方程组的解为 ····························3分 y 2 （2）解：② 2得： 2x 8y 26，③ ③———得：5y 10. 所以 y 2 .····························4分 将 y 2代入②中得： x 8 13， 所以 x 5. ···························5分 x 5, 所以此方程组的解为 ····························6分 y 2. 21 2、（8 分）解：原式= 4a 4ab b2 (4a2 9b2 ) ····························2分 = 4a2 4ab b2 4a2 9b2 ····························3分 = 4ab 10b2 ····························5分 a 1当 ,b 2时, 2 1 = 4 2 10 2 2原式 ····························6分 2 = 36····························8分 1 k b, 22、（8 分）解：由题可知： ································4分 3 k b. k 2, 所以 ································8分 b 1. 1 1 1 1 1 1 23、（9 分）解：原式= 2 1 1 1 2 1 4 1 8 15 ·················3分 2 2 2 2 2 2 1 1 =2 1 16 15 ·······················5分 2 2 = 2 1 1 15 15 ······················7分2 2 =2 ······················9分 24、（9 分）解：（1）设 a b x ，2a b y ， mx ny 17 原方程组可化为 nx my 28 mx ny 17 x 1 的解为 ， nx my 28 y 10 a b 1 2a b 10 故答案为： 1，10 ····························2分 （2）设 x y m ，2x y n m n 11 3 4 4 原方程组可化为 m ，····························4分 2n 3 2 m 6 解得 n 3 ,····························5分 x y 6 即 2x y 3，····························7分 x 3 解得 y 3 x 3 原方程组的解为 y 3 ····························9分 2a b 10 170, 25、（10 分）解：（1）由题意得： ，····························2分 a 2b 30 170 a 60, 解得： ， b 40. 所以图甲中 a 与 b 的值分别为：60、40；····························4分 （2）①由图示裁法一产生 A 型板材为：2×30＝60， 裁法二产生 A 型板材为：1 ... ...
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