题型:解答题-证明题
难度:0.65
引用次数:18
题号:21627669
已知数列
满足
,
,
数列
,
的前n项和分别为.
(1)求
,并证明数列
为等比数列;
(2)当
时,有恒成立,求正整数m的最小值.
![](/uploads/image/squformula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](/uploads/image/squformula/b13a6e1d671215fc96e4bee3541d1096.png)
![](/uploads/image/squformula/60d3eaf50c4cacfbe369e12984e8b31a.png)
![](/uploads/image/squformula/a784243ca60ed9fa55480c6987d40605.png)
![](/uploads/image/squformula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](/uploads/image/squformula/034ba25825c13725931c483aa47c9363.png)
(1)求
![](/uploads/image/squformula/d7de777f1b9ad8ffaf3568c093b2f7c5.png)
![](/uploads/image/squformula/c8194a62bc60a9da9b5cf76f9dc0fa09.png)
(2)当
![](/uploads/image/squformula/856b137a34d2d5b20671b7a3c7a29606.png)
更新时间:2024-01-27 18:20:16
|
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【推荐1】已知递增等差数列{an}中,a3a7=﹣16,a4 a6=0,求数列{an}的通项公式及前n项和sn,并求sn最小值时n的值.
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【推荐2】记
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(1)记
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![](/uploads/image/squformula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](/uploads/image/squformula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](/uploads/image/squformula/b6a24198bd04c29321ae5dc5a28fe421.png)
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![](/uploads/image/squformula/2482ca583ca219a3fe468d1822b4f3b5.png)
(1)记
![](/uploads/image/squformula/314501f06c7e4bf3112fe41ecac7be68.png)
![](/uploads/image/squformula/034ba25825c13725931c483aa47c9363.png)
(2)求
![](/uploads/image/squformula/2a27c112387e56c976489fa484c0d48f.png)
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【推荐3】在正项等比数列
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(2)设
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![](/uploads/image/squformula/29518f13a1ebc3fff8181c2d7cfba22f.png)
![](/uploads/image/squformula/9b045994306c105672f1b94d80c21d9c.png)
(1)求数列
![](/uploads/image/squformula/29518f13a1ebc3fff8181c2d7cfba22f.png)
(2)设
![](/uploads/image/squformula/a61b6c2d474c1ed9657040fa09ef03bf.png)
![](/uploads/image/squformula/e2448cf72af76b810310e4cfb9818e2e.png)
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解题方法
【推荐1】已知数列{an}的各项均为正数,其前n页和为sn,且a1=2,
.
(1)证明:数列
是等比数列;
(2)求数列
的前n项和.
![](/uploads/image/squformula/89008c4bcfc6733b09bb55ce8bb5f583.png)
(1)证明:数列
![](/uploads/image/squformula/a080c94bf1ffea8d5af10f9688978fb5.png)
(2)求数列
![](/uploads/image/squformula/8b25826d8358c9376e1fc9e25ff1aa25.png)
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【推荐2】已知数列
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![](/uploads/image/squformula/63d471926f7b27322d90c82b9ce21d3d.png)
![](/uploads/image/squformula/43493d9317de51a9b8db54fd3d264bb7.png)
(1)求证:
![](/uploads/image/squformula/0b782196a0568f3b6192cd10c510ada7.png)
![](/uploads/image/squformula/7d783b37f105c054edb71cb3a9e9c1ce.png)
(2)设
![](/uploads/image/squformula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](/uploads/image/squformula/63d471926f7b27322d90c82b9ce21d3d.png)
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![](/uploads/image/squformula/a949b947e9961d4d68bfeb4e24ef40f9.png)
![](/uploads/image/squformula/735a0463becf74ba8efc8544dcfbe8d0.png)
![](/uploads/image/squformula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2018-04-23更新
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解答题-证明题
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适中
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解题方法
【推荐3】(1)已知等差数列
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②求数列
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项和
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![](/uploads/image/squformula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](/uploads/image/squformula/b38fda654c021e994ac899d0ecdc6955.png)
![](/uploads/image/squformula/95f293767f23d043f408e50ae88646a2.png)
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![](/uploads/image/squformula/07e42fd1465539b4c54a32273c52adeb.png)
![](/uploads/image/squformula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](/uploads/image/squformula/034ba25825c13725931c483aa47c9363.png)
(2)在数列
![](/uploads/image/squformula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](/uploads/image/squformula/5ecf69901899bba130968c7a091790d3.png)
![](/uploads/image/squformula/d99afdf5472fd4867e7d8a5a7b0845c6.png)
①求证:
![](/uploads/image/squformula/1c7d94406136605c5bc9cd9295d6c9fa.png)
②求数列
![](/uploads/image/squformula/d363b6982fee3bf1337d1542137a2f3d.png)
![](/uploads/image/squformula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](/uploads/image/squformula/08eb71ecf8d733b6932f4680874dbbf3.png)
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【推荐1】在公差不为零的等差数列
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![](/uploads/image/squformula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](/uploads/image/squformula/039e4fe671d61e59b96ee525c9df43e8.png)
![](/uploads/image/squformula/edcd9a1492c60152f2e32604cd519e72.png)
(1)求数列
![](/uploads/image/squformula/83cf38189d5cbf627d2b82ac0eb76006.png)
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![](/uploads/image/squformula/4844ada5b5eb39d704345bb4e6080d99.png)
![](/uploads/image/squformula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](/uploads/image/squformula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](/uploads/image/squformula/08eb71ecf8d733b6932f4680874dbbf3.png)
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![](/uploads/image/squformula/d6104c8adc6023374cd56a93ff501a14.png)
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【推荐2】已知等比数列
满足
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,
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的前
项和.
(1)求
的通项公式;
(2)
(
)能否构成等差数列,若能,则求
的值;若不能,则说明理由.
![](/uploads/image/squformula/63d471926f7b27322d90c82b9ce21d3d.png)
![](/uploads/image/squformula/f9954d6701d2b7d8302684bb896a1afe.png)
![](/uploads/image/squformula/bc4787b11b456ed3075d53fd6c05099c.png)
![](/uploads/image/squformula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](/uploads/image/squformula/63d471926f7b27322d90c82b9ce21d3d.png)
![](/uploads/image/squformula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)求
![](/uploads/image/squformula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)
![](/uploads/image/squformula/c3c2ea72de471c76180aeb6dddc6ab8d.png)
![](/uploads/image/squformula/67cd89a09ed5e6e2950ed665a2965186.png)
![](/uploads/image/squformula/a1620d091f50ea9ad7666e1c3cfaaa4f.png)
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2023-03-17更新
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110次组卷
解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐3】已知正项数列
满足:
,且
.
(1)设
,求数列
的通项公式;
(2)设
,求数列
的前
项和
,并确定最小正整数
,使得
为整数.
![](/uploads/image/squformula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](/uploads/image/squformula/b13a6e1d671215fc96e4bee3541d1096.png)
![](/uploads/image/squformula/057aca68b6623b57cfee1e138f5469a0.png)
(1)设
![](/uploads/image/squformula/b39c3300bf689f857b22fdd3fbefbb6f.png)
![](/uploads/image/squformula/034ba25825c13725931c483aa47c9363.png)
(2)设
![](/uploads/image/squformula/4a306bbf6ae0f4f1abf9f4f7248fefb7.png)
![](/uploads/image/squformula/57ef6d44448092ebdb9e4a49d866a749.png)
![](/uploads/image/squformula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](/uploads/image/squformula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](/uploads/image/squformula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](/uploads/image/squformula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2023-07-24更新
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解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐1】设
为数列
的前
项和,已知
.
(1)求数列
的通项公式;
(2)求数列
的前
项和
.
![](/uploads/image/squformula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](/uploads/image/squformula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](/uploads/image/squformula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](/uploads/image/squformula/aa60d535e079798793b4b3a17d080031.png)
(1)求数列
![](/uploads/image/squformula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](/uploads/image/squformula/8fa3ba961186e48e98f8819f44279bed.png)
![](/uploads/image/squformula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](/uploads/image/squformula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐2】已知
,
分别为等差数列,等比数列,且
,
,
,
.
(1)求
,
的通项公式;
(2)求数列
的前n项和
.
![](/uploads/image/squformula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](/uploads/image/squformula/034ba25825c13725931c483aa47c9363.png)
![](/uploads/image/squformula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](/uploads/image/squformula/385275d29d8c8a7841eaeaa3dfab2cdb.png)
![](/uploads/image/squformula/2a125436ee7f5ecf96dd4511aa9439d3.png)
![](/uploads/image/squformula/eab7d59ce066c8f0b346719003f8e28f.png)
(1)求
![](/uploads/image/squformula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](/uploads/image/squformula/034ba25825c13725931c483aa47c9363.png)
(2)求数列
![](/uploads/image/squformula/6fa2bacb35e4485ccbeee092d11aa4b7.png)
![](/uploads/image/squformula/08eb71ecf8d733b6932f4680874dbbf3.png)
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解题方法
【推荐3】设集合
,
、
是
的两个非空子集,且满足集合
中的最大数不大于集合
中的最小数,记满足条件的集合对
的个数为
.
(1)求
的值;
(2)求
的表达式.
![](/uploads/image/squformula/18b60d7c237641d58d7e264317999db7.png)
![](/uploads/image/squformula/5963abe8f421bd99a2aaa94831a951e9.png)
![](/uploads/image/squformula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](/uploads/image/squformula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](/uploads/image/squformula/5963abe8f421bd99a2aaa94831a951e9.png)
![](/uploads/image/squformula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](/uploads/image/squformula/a95d247ffb2774bb7e22708b25daf7f0.png)
![](/uploads/image/squformula/bf83e20035c3afd6d26ebfd53d768a70.png)
(1)求
![](/uploads/image/squformula/9b9cb8e6ff801523b0304576cd69fd2d.png)
(2)求
![](/uploads/image/squformula/bf83e20035c3afd6d26ebfd53d768a70.png)
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