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泸州市高2017级第二次教学质量诊断性考试
数 学(文科)参考答案
一、选择题
题号
答案 D C B B C B A D A D D D 1 2 3 4 5 6 7 8 9 10 11 12 二、填空题: 13.?1; 三、解答题:
17.解:(Ⅰ)当n?1时:2S1?a1?1,所以a1?当n≥2时:2Sn?an?1, ①
··························································· 2分 2Sn?1?an?1?1, ② ·
所以2(Sn?Sn?1)?an?an?1?0, ···························································· 3分 即3an?an?1,所以
14.5;
15.3;
16.32.
1, ················································· 1分 3an1?(n≥2), ····················································· 4分 an?13所以{an}是首项a1?
11,公比为的等比数列, ······································· 5分 33111······························································ 6分 an??()n?1?()n(n?N*);
333(Ⅱ)因为{bn}是等差数列,b1?3a1?1,b2?2, ·············································· 7分
所以公差d?1, ·················································································· 8分 ·········································································· 9分 bn?1?(n?1)?1?n, ·
Tn?(a1?b1)?(a2?b2)?????(an?bn) ?(a1?a2?????an)?(b1?b2?????bn)
二诊数学文科参考答案 第1页 共6页
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