福州市2013-2014学年第一学期九年级期末质量检查数学试卷

福州市2013—2014学年第一学期九年级期末质量检测

数学试卷参考答案及评分标准

一、选择题（每小题4分，共40分）

1．B 2．D 3．A 4．C 5．B 6．C 7．A 8．A 9．D 10．D

二、填空题（每小题4分，共20分）：

11．x 1 12．121 13．1 14．100 15．7； (正确一个得2分) 46

三、解答题：（满分90分）

16．（每小题7分，共14分）

= ······································································· 4分 =8． ··············································································································· 7分

2

= ······················································································· 6分

= ·········································································································· 7分

17．解：（1）△A1B1C1如右下图； ··············································································· 3分

（2）A1(1，3),B1（1，0）,C1（3，0）； ·························································· 6分

（3）由抛物线y ax bx c经过点C、B1、C1，可得： 2

c 3 ············································································ 9分 a b c 0， ·

9a 3b c 0

a 1 解得： b 4， ··················································································· 10分

c 3

∴抛物线的解析式为y x2 4x 3. ···························································· 11分 （答案用一般式或顶点式表示，否则扣2分）

(4)表格填写合理正确得2分，图像正确得2分．

二次函数y x2 4x 3的图像如右图．

18．解：（1）列树状图如下：

小明123

5

············ 3分

51小强 2335231512

由树状图可知：所有可能出现的结果共12

种情况，并且每种情况出现的可能性

相等．其中x

与y的积为偶数有6

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