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八年级数学试题答案及评分参考第 1 页(共 4 页)
数学试题答案及评分参考
评分说明:
1.本解答给出了一种或几种解法供参考,如果考生的解法与本解答不同,可根据试题的主要考
查内容比照评分参考制定相应的评分细则.
2.对于计算题,当考生的解答在某一步出现错误时,如果后继部分的解答未改变该题的内容和
难度,可视影响的程度决定后继部分的给分,但不得超过该部分正确解答应给分数的一半;
如果后继部分的解答有较严重的错误,就不再给分.
3.解答右端所注分数,表示考生正确做到这一步应得的累加分数.
4.只给整数分数.选择题和填空题不给中间分.
一、选择题:共10小题,每小题4分,满分40分;在每小题给出的四个选项中,只有一项是符合题目要求的,请
在答题卡的相应位置填涂.
1.A 2.C 3.B 4.D 5.B
6.D 7.C 8.B 9.B 10.A
二、填空题:共6小题,每小题4分,满分24分,请在答题卡的相应位置作答.
11.50 12. 34 13.>
14.70 15.6 16.6
三、解答题:共9小题,满分86分,请在答题卡的相应位置作答.
17.(本小题满分8分)
解:原式 2 2 1 2 2 2 1 ························································································ 6 分
2. ················································································································· 8 分
18.(本小题满分8分)
解:(1)将(1,4)代入 y kx 2(k≠0),
得 k 2 4, ······································································································· 2 分
解得 k 2, ········································································································· 3 分
则该一次函数的解析式为 y 2x 2. ········································································ 4 分
x 1 0
y 0 2
该一次函数的图象如图所示:
································································ 6 分
(2)由图象可得,当 y≤0 时,x≤ 1. ·········································································· 8 分
4
3
2
1
-1
-2
-2 -1 21 3 x
y
O
2 2y x
八年级数学试题答案及评分参考第 2 页(共 4 页)
19.(本小题满分8分)
解:(1)
································································ 3 分
如图,射线 BC,线段 BD 即为所求作; ···································································· 4 分
(2)解:由(1)得 BD∥OA,BD OA,
∴四边形 OBDA 是平行四边形. ······································································· 5 分
∵OA OB,
∴平行四边形 OBDA 是菱形, ·········································································· 6 分
∴DE 1
2
OD,AB⊥OD. ················································································ 7 分
∵OD