数列
满足
,
,记
,若
对任意
恒成立,则正整数
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd1af387105ead6e19e84a3c4482e3d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50be994861d19063e98e55a3a966bbdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/225babbdec6de7a98dca9ec39daaca6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.10 | B.11 | C.9 | D.12 |
更新时间:2020-02-26 08:41:33
|
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单选题
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【推荐1】已知
等差数列
的前
项和,则“
”是“
是递减数列”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ffd501117a477213e78c957f1e0d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.充分而不必要条件 | B.必要而不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
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【推荐2】欲用数学归纳法证明“对于足够大的自然数
,总有
”,则所取的第一个
值,最小应当是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e63320122300f4b6767697c89cb4f88d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.1 | B.6 | C.10 | D.14 |
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【推荐1】提丢斯—波得定则是关于太阳系中行星轨道的一个简单的几何学规则,它是1766年由德国的一位中学老师戴维·提丢斯发现的,后来被柏林天文台的台长波得归纳成一条定律,即太阳系第颗行星与太阳的平均距离(以天文单位A.U.为单位)构成数列
,且数列
从第二项开始各项乘以10后再减4构成一个等比数列.已知
,
,则太阳系第5颗行星与太阳的平均距离为( )
A.1.6 | B.2 | C.2.8 | D.200 |
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【推荐2】已知数列
、
满足
,
,
,
的前
项和为
,
,则数列
的最大项为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385275d29d8c8a7841eaeaa3dfab2cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce85e5ec0e7fdf824fa1f5479c49009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a70190f40edf121d19387a7b8fbeb46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.png)
A.25 | B.24 | C.27 | D.26 |
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【推荐1】设数列
满足
,
,
,若对一切
,
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe0049c58c27eee3b1010b5697c8b0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04fa7db661d6b7b3e09d97da5dfdb80d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】已知正项数列
满足
,且
为等差数列,设
,若数列
的前
项和为10,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cefeddf71dca8ae824328df3f0e5e1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/362832fa3d3c13c1eafd565349d66dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95b356b0de4898a5f16afac1347d2aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.30 | B.31 | C.40 | D.41 |
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【推荐2】中国的古建筑不仅是挡风遮雨的住处,更是美学和哲学的体现.如图是某古建筑物的剖面图,
是举,
是相等的步,相邻桁的举步之比分别为
,且成首项为0.114的等差数列,若直线
的斜率为0.414,则该数列公差等于( )
![](https://img.xkw.com/dksih/QBM/2023/3/2/3186036325326848/3187185428799488/STEM/f328093f3d1e40bd8fcdf7580152ca37.png?resizew=550)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3dd24b104c96ef814793c9b24a78add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd7d3b417fd0fbd6329f7b236769fd58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9e37bae46b63907d139b56cd456819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://img.xkw.com/dksih/QBM/2023/3/2/3186036325326848/3187185428799488/STEM/f328093f3d1e40bd8fcdf7580152ca37.png?resizew=550)
A.0.1 | B.0.2 | C.0.3 | D.0.4 |
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