山东省济南市槐荫区2020-2021学年八年级上学期期末考试数学试题答案
第 1 页(共 6 页)
八年级数学试题参考答案与评分标准
一、选择题
题号
1
2
3
4
5
6
7
8
9
10
11
12
答案
D
A
C
B
A
C
B
D
A
C
B
D
二、填空题
13. (-3,5)
14. x<-2
15. 乙
16. 40°或100°
17.
34
18.
3
2
3
三、解答题
19.解:(1)原式=
2
2
2
3-24
······················································· 2 分
=
22
2
3
-24
=
2
2
7
········································································ 3 分
(2)解:①+②得:7x=14
x=2 ·································································· 4 分
把x=2 代入①得:2×2+3y=7
解得:y=1 ······························································· 5 分
原方程组的解为:
1
2
y
x
···································································· 6 分
20.解: 解不等式①得:
153 xx
62 x
3x
························································ 1 分
解不等式②得:
223 xx
322 xx
1x
1x
··························································· 3 分
所以,不等式组的解集为:
31 x
········································· 5 分
所以,不等式组的整数解为:0,1,2 ········································ 6 分
第 2 页(共 6 页)
21.解:(1)图形正确 ············································································· 2 分
如图 1所示:正方形即为所求; ······························································· 3 分
(2)作图痕迹正确 ················································································ 5 分
如图 2,点 D即为所求. ········································································ 6 分
22.解:∵AB=AC,
∴∠ABC=∠ACB, ··········································································· 1 分
∵BD 平分∠ABC,CE 平分∠ACB,
∴∠ABD=
1
2
∠ABC,∠ACE=
1
2
∠ACB, ············································· 2 分
∴∠ABD=∠ACE, ··········································································· 3 分
∵AD⊥BD,AE⊥CE
∴∠D=∠E=90°, ········································································· 4 分
在△ADB 与△AEC 中,
DD
ABD ACE
AB AC
, ············································································ 6 分
∴△ADB≌△AEC, ··········································································· 7 分
∴AD=AE. ····················································································· 8 分
23.解:(1)∵OB=2,OA=1,
∴A的坐标为(1,0), B的坐标为(0,2), ·········································· 1 分
设AB 的解析式为 y=kx+2 ,
将A坐标代入得 0=k+2,
图1
图2
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