山东省济南市天桥区2018届九年级上学期期末考试数学试题（pdf版）

2017～2018学年度第一学期九年级期末考试 数学试题参考答案 一、选择题 1. A 2. D 3. D 4. B 5. C 6. B 7. C 8. B 9. A 10. B 11. A 12. B 二、填空题: 13. ， 14. 15. 16. 3 17. 4 18. 5 三、解答题 19．解：因式分解，得 ·······································2分 ·······································3分 ············································5分 20．解： ( A B C D P Q )21．（1） ∵矩形ABCD ∴AB=CD ············································1分 ∴∠ACB=∠DCQ =90° ············································2分 ∵AP=CD ． ············································3分 ∴PB=DQ ············································4分 （2）∵ 当PD=5时四边形PBQD为菱形 ∴PB =PD=5， ············································5分 ∵AB=4 ∴在Rt△ABP中 AP2 =52－42 · ··········································6分 解得AP =3 ···········································7分 ∴AD=AP＋PD=8 ············································8分 22. 设垂直于墙的一边为 米，得 ············································4分 解得 ·······································6分 另一边为 米或 米． ············································7分 答：当矩形长为 米时宽为 米，当矩形长为 米时宽为 米． ························