2010年深圳市高三年级第二次调研考试(理科数学答案)word版 下载本文

21?1,21?2,21?3,…,21??n?1?,21?n ,22?n

22?1,22?2,22?3,…,223?1,23?2,23?3,…,22??n?1?3??n?1?,23?n

………………

2n?1,2n?2,2n?3,… ,2设上表第一行的和为T,则 T?n4?1?2?n?4?2??1.

n??n?1?,2n?n

1?2于是 2Tn?T1?2?22???2n?1???22?24??22n?

?42n?1?2n?1? ?????22?4n?1?4?1

4n2?1???2n?2?2?. ?34nn?1∴ Tn??2?1. …………10分 ??2??1?34nn?1 (3)∵Tn??2?1???2?1?,

32n3?2n3?11????∴??, …………12分 Tn4?2n?1???2n?1?1?4?2n?12n?1?1?222∴M???T1T2?2n? Tn1???1??n?n?1?? ?2?12?1??3??11??11??11???????1??2??3???2344??2?12?1??2?12?1??2?12?1?3?1?1???. 4?2n?1?1?n?1?∵2∴

?1?3,

13?1?3??1?n?1??. 24?2?1?4即

13?M?. …………14分 24