广西壮族自治区防城港市2022-2023学年七年级下学期6月期末数学试题
展开2023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）
题号 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
答案 | D | B | C | D | B | A | B | A | B | D | B | C |
二、填空题（本大题共6小题，每小题3分，共18分）
13.<； 14.； 15.； 16．； 17．； 18．．
三、解答题（本大题共66分）
19．（本题满分6分）
解：原式=··················································4分
=··················································2分
20．（本题满分6分）
解：由①+②得
·······································3分
把代入②得··········································5分
方程组的解为········································6分
21．（本题满分10分）
解:由①解得····················································3分
由②解得······················································3分
解集在同一数轴上表示为：
·····························································8分
不等式组的解集为：·············································10分
22.（本题满分10分）
(1)解：，
·····························································5分
(2),
又
····························································10分
23．（本题满分10分）
解:（1）,,；···················································3分
（2）作图略····················································6分
····························································10分
24．（本题满分10分）
解：（1）样本容量为40，=3，=7.5％，=18；·························4分
（2）作图略····················································6分
（3）·························································9分
答：该居民小区家庭收入大于1000不足1600元的大约有225户.············10分
25．（本题满分10分）
（1）解：设篮球单价是元，足球的单价元，则根据题意得···············1分
···················································3分
解得···············································4分
答：篮球单价是元，足球的单价元··································5分
（2）解：设最多能购买个个篮球，根据题意得························6分
·················································8分
解得···········································9分
答：最多能购买个20个篮球.······································10分
26．（本题满分10分）
(1)＝ , , ＝··············································3分
(2)解：过点作
∴＝．·························································4分
∵，
∴，··························································5分
∴＝,··························································6分
∴····························································7分
平分，平分
,·····························································8分
又，
,·····························································9分
····························································10分
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