第1页共13页编号:时间:2021年x月x日书山有路勤为径,学海无涯苦作舟页码:第1页共13页第2页共13页第1页共13页编号:时间:2021年x月x日书山有路勤为径,学海无涯苦作舟页码:第2页共13页第3页共13页第2页共13页编号:时间:2021年x月x日书山有路勤为径,学海无涯苦作舟页码:第3页共13页第4页共13页第3页共13页编号:时间:2021年x月x日书山有路勤为径,学海无涯苦作舟页码:第4页共13页第5页共13页第4页共13页编号:时间:2021年x月x日书山有路勤为径,学海无涯苦作舟页码:第5页共13页2012年福州市高中毕业班质量检查数学(文科)试卷参考答案及评分标准一、选择题(本大题共12小题,每小题5分.)1.A2.B3.D4.B5.D6.C7.C8.B9.A10.C11.A12.D二、填空题(本大题共4小题,每小题4分,共16分.)13.14.15.116.三、解答题(本大题共6小题,共74分.)17.解:(Ⅰ)由已知得,即.·········································1分∴数列是以为首项,以为公差的等差数列.······································2分 ······································································································3分∴().·········································································6分(Ⅱ)由(Ⅰ)得,·····························································7分∴.··································································································9分∴.························12分18.解:(Ⅰ)事件包含的基本事件为:、、、、、、、、,,共10个.···········································································6分注:⑴漏写1个情形扣2分,扣完6分为止;多写情形一律扣3分.(Ⅱ)方法一:记“至少有1扇门被班长敞开”为事件.第6页共13页第5页共13页编号:时间:2021年x月x日书山有路勤为径,学海无涯苦作舟页码:第6页共13页 事件包含的基本事件有、、、、、,,共7个.···················································································································································9分∴.············································································································12分方法二:事件“2个门都没被班长敞开”包含的基本事件有、、,共3个.···················································································8分∴2个门都没被班长敞开的概率,······························································10分∴至少有1个门被班长敞开的概率.············································12分19.方法一:由,得(),即(),∴函数定义域为.········································...