2017南安市初中学业质量检查

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1、2017南安市初中学业质量检查数学试题参考答案及评分标准说明：（一）考生的正确解法与“参考答案”不同时，可参照“参考答案及评分标准”的精神进行评分．（二）如解答的某一步出现错误，这一错误没有改变后续部分的考查目的，可酌情给分，但原则上不超过后面应得的分数的二分之一；如属严重的概念性错误，就不给分．（三）以下解答各行右端所注分数表示正确做完该步应得的累计分数．一、选择题（每小题4，共40分）1.D2.B3.B4.C5.A6.C7.B8.D9.A10.D二、填空题（每小题4分，共24分）11.12.13.14.15.16.．附第16题的解答如下：，∴一次函数的图象

2、恒过定点．过点作轴的垂线、轴的垂线，分别与反比例函数的图象交于点和，∵当一次函数的值随的值增大而增大时，一次函数的图象上升，此时一次函数和反比例函数的图象的交点必在、两点之间，∴．二、解答题（9小题，共86分）17．解：原式·················································6分·····················································8分18．解：原式···································2分数学参考答案及评分标准第9页（共7页）··

3、··········································4分···················································6分当时，····················································7分·······················································8分（注意：依题意得不能取1或）19．证明：∵∥∴··············································2分∵

4、∴，即··························4分又∵∴≌···········································6分∴·················································8分20．解：（1）50·························································1分如图所示：数学参考答案及评分标准第9页（共7页）············2分（2）（人）答：估计该市在这次测试中成绩为优秀的人数为3600人。··········4

5、分（3）因为小王只抽查了九年（3）班的测试成绩，对于全市来讲不具有代表性，且抽查的样本只有50名学生，对于全市12000名中学生来讲不具有广泛性．·······················································6分（4）列表如下：男1男2女男1男2男1女男1男2男1男2女男2女男1女男2女（画树状图：略，可参照给分）∴由上表知：P（一男一女）=．························8分21．解：（1）如图所示·····································3分（2）连结，∵是的

6、垂直平分线，∴∴数学参考答案及评分标准第9页（共7页）·································4分∵∴∴·······················5分∴·························6分在中，∴···································7分又∵∴∴········································8分22．解：（1）902································4分（一格2分）（2）甲车的速度是千米/小时，乙车的速度是千米/小时，

7、·························································5分设甲从A地出发小时后，两人相遇依题意，得解得当时，，即点P的坐标为························6分点的实际意义是甲、乙分别从A、B两地出发，经过1.2小时相遇，这时离B地的距离为54千米。··········7分（3）1、1.4、2.75（每个值1分）········10分23．（1）证明：连结．∵∴·····················1分12∵∴························2分数学参考答案及评分标

8、准第9页（共7页）∵∴∴∴∥·····