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1、2017南安市初中學(xué)業(yè)質(zhì)量檢查數(shù)學(xué)試題參考答案及評分標(biāo)準(zhǔn)說明：（一）考生的正確解法與“參考答案”不同時，可參照“參考答案及評分標(biāo)準(zhǔn)”的精神進行評分．（二）如解答的某一步出現(xiàn)錯誤，這一錯誤沒有改變后續(xù)部分的考查目的，可酌情給分，但原則上不超過后面應(yīng)得的分數(shù)的二分之一；如屬嚴(yán)重的概念性錯誤，就不給分．（三）以下解答各行右端所注分數(shù)表示正確做完該步應(yīng)得的累計分數(shù)．一、選擇題（每小題4，共40分）1.D2.B3.B4.C5.A6.C7.B8.D9.A10.D二、填空題（每小題4分，共24分）11.12.13.14.15.16.．附第16題的解答如下：，∴一次函數(shù)的圖象
2、恒過定點．過點作軸的垂線、軸的垂線，分別與反比例函數(shù)的圖象交于點和，∵當(dāng)一次函數(shù)的值隨的值增大而增大時，一次函數(shù)的圖象上升，此時一次函數(shù)和反比例函數(shù)的圖象的交點必在、兩點之間，∴．二、解答題（9小題，共86分）17．解：原式·················································6分·····················································8分18．解：原式···································2分數(shù)學(xué)參考答案及評分標(biāo)準(zhǔn)第9頁（共7頁）··
3、··········································4分···················································6分當(dāng)時，····················································7分·······················································8分（注意：依題意得不能取1或）19．證明：∵∥∴··············································2分∵
4、∴，即··························4分又∵∴≌···········································6分∴·················································8分20．解：（1）50·························································1分如圖所示：數(shù)學(xué)參考答案及評分標(biāo)準(zhǔn)第9頁（共7頁）············2分（2）（人）答：估計該市在這次測試中成績?yōu)閮?yōu)秀的人數(shù)為3600人?！ぁぁぁぁぁぁぁぁぁ?
5、分（3）因為小王只抽查了九年（3）班的測試成績，對于全市來講不具有代表性，且抽查的樣本只有50名學(xué)生，對于全市12000名中學(xué)生來講不具有廣泛性．·······················································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（畫樹狀圖：略，可參照給分）∴由上表知：P（一男一女）=．························8分21．解：（1）如圖所示·····································3分（2）連結(jié)，∵是的
6、垂直平分線，∴∴數(shù)學(xué)參考答案及評分標(biāo)準(zhǔn)第9頁（共7頁）·································4分∵∴∴·······················5分∴·························6分在中，∴···································7分又∵∴∴········································8分22．解：（1）902································4分（一格2分）（2）甲車的速度是千米/小時，乙車的速度是千米/小時，
7、·························································5分設(shè)甲從A地出發(fā)小時后，兩人相遇依題意，得解得當(dāng)時，，即點P的坐標(biāo)為························6分點的實際意義是甲、乙分別從A、B兩地出發(fā)，經(jīng)過1.2小時相遇，這時離B地的距離為54千米。··········7分（3）1、1.4、2.75（每個值1分）········10分23．（1）證明：連結(jié)．∵∴·····················1分12∵∴························2分數(shù)學(xué)參考答案及評分標(biāo)
8、準(zhǔn)第9頁（共7頁）∵∴∴∴∥·····
