福州市高中毕业班文科数学质量检查VIP免费

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． 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．··························································2分 ，················································5分注：以上的5分全部在第Ⅱ小题计分.（Ⅰ）；········································8分（Ⅱ）令，····················································10分得··········································································11分∴函数的单...