江苏省徐州市2020-2021学年九年级下学期第一次模拟检测数学试卷参考答案
九年级数学期中试题参考答案 ( 第 1 页 共 4 页 )
2020—2021 学年度初中、毕业升学第一次模拟检测
九年级数学试题参考答案及评分标准
题号
1
2
3
4
5
6
7
8
选项
C
B
D
D
C
B
A
C
9.
4
10. 2 11.
6x
12. 8 13. -2
14.
12
15. 3 16. 55º 17.
3
18. 625
19. (1) 原式= 2-4-1 ····················································································· 3 分
=-2-1 ························································································ 4 分
=-3 . ··························································································· 5 分
(2) 原式 =
212
()
( 1) ( 1)
a a a
a a a a
·························································· 3 分
=
2
( 1)
( 1) ( 1)
aa
a a a
···································································· 4 分
=
1
1
a
a
··························································································· 5 分
20. (1) 解法一:(配方法)
x2-4x + 4 = 2. ························································································· 1 分
(x-2)2=2. ······························································································· 2 分
x-2=
2
. ···························································································· 3 分
x1=2
2
,x2=2
2
. ··············································································· 5 分
解法二:(公式法)
x2-4x + 2 = 0. ························································································· 1 分
∵a=1,b=-4,c =2.
b2-4ac = 16-8 = 8. ················································································· 2 分
∴
22
2
224
12
8)4(
x
··········································· 3 分
∴
.22,22 21
xx
, (结果正确没化简,扣 1分) . ···················· 5 分
(2) 由① 得,x ≤-3, ················································································ 2 分
由② 得,
1
2
x
. ······················································································ 4 分
九年级数学期中试题参考答案 ( 第 2 页 共 4 页 )
所以不等式组的解集是:x ≤-3. ································································· 5 分
21. (1)
1
3
. ···································································································· 2 分
(2) 若王老师、张老师、李老师分别用 A、B、C表示,画树状图如下: ··············· 5 分
共有 9种等可能情况,其中都是王老师测体温的有 1种情况,则都是王老师测体温
的概率是
1
9
. ······················································································ 7 分
22. (1) 100 ; ································································································ 3 分
(2) 补完条形图(如图 ). ·········································································· 5 分
(3)
%402000
800 . ·········································································· 7 分
23. (1) ∵AB∥CD,∴∠B=∠D. ····································································· 1 分
在△ABE 和△CDF 中,
BD
AB CD
BAE DCF
,∴△ABE≌△CDF(ASA).∴AE=CF.
············································································································ 4 分
(2) 由(1)△ABE≌△CDF 得∠AEB=∠CFD . ·········································· 5 分
∴180°-∠AEB=180°-∠CFD,
即∠AEF=∠CFE.∴AE∥CF . ································································ 7 分
∴四边形 AECF 是平行四边形. ·································································· 8 分
24.(1)设每副围棋 x元,则每副象棋(x﹣8)元. ············································· 1 分
根据题意,得
420 756
8xx
. ········································································· 4 分
解得 x=18.
经检验 x=18 是所列方程的根. ·································································· 6 分
所以 x﹣8=10. ······················································································ 7 分
( 第22 题 ) ( 第21 题 )
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