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九年级数学模拟答案第 1页(共 7页)
2019年兰州市九年级数学模拟考试
参考答案及评分参考
本答案仅供参考,阅卷时会制定具体的评分细则和评分标准。
一、选择题:本大题共 12 小题,每小题 4 分,共 48 分.
题号 1 2 3 4 5 6 7 8 9 10 11 12
答案 A D D B C B D C C A B B
二、填空题:本大题共 4小题,每小题 4分,共 16分.
13. 2x(x-2)2 14. 9
16
15. 2022 16. (8,3)或( 5
2
,0)
三、解答题:本大题共 12小题,共 86分.解答时写出必要的文字说明、证明过程或演算步
骤.
17.(5分)
解:(-1)2019+ 3 8-( 1
3
)-2+ 2 sin45°
=-1+2-9+ 2 × 2
2
·················································································· 1,2,3,4分
=-7.································································································································· 5分
18.(5分)
解:原式=x2-9+4x2-4x+1-4x2+4x········································································ 1,2,3分
=x2-8,·························································································································4分
当 x 7= 时,原式=7-8=-1.······················································································· 5分
19.(5分)
解:
3 4
2 3
2 3
x
x x
+ < ①
+ +
> ②
由①得 x<1.······················································································································ 2分
由②得 x>0.······················································································································ 4分
∴不等式组的解集为 0<x<1.························································································5分
20.(6分)
证明:∵DE∥AB,
∴∠EDA=∠CAB.············································································································1分
在△ABC和△DAE中
CAB EDA
AB DA
B DAE
=
=
=
,········································································4分
九年级数学模拟答案第 2页(共 7页)
∴△ABC≌△DAE(ASA).······························································································· 5分
∴BC=AE.························································································································· 6分
21.(7分)
解:(1)样本容量是 1000,··················································································