已知数列
是等比数列,若
,且数列
的前n项乘积
,n的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c325bdf979e077323f5c8e6b15146cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ae93e401b499b0e39f251279b5663c.png)
A.10 | B.11 | C.20 | D.21 |
更新时间:2022-12-14 10:48:50
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【推荐1】已知数列
是等比数列,
是等差数列,若
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ea568b993fb5243b2833a93cfcc27a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177b114abc1d62f8b29a0552a37af9ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce46259042a8f531f4188687aa25a3cc.png)
A.4 | B.8 | C.12 | D.16 |
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【推荐2】在各项均为正数的等比数列
中,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/effd22eb6b6c2692b7c1f6af533d7eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb52be97213dcc319f1f3c291159d1e3.png)
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1d0134167f9b73220a504464edc789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/effd22eb6b6c2692b7c1f6af533d7eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb52be97213dcc319f1f3c291159d1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668223cb86a47b19f104fb93459206cf.png)
A.6 | B.5 | C.-6 | D.-5 |
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【推荐1】若数列{
},{
}的通项公式分别为
,且
对任意
恒成立,则a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee7bcbc295b1e12ca4b3dc5dc27c9a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/625d85beee2350af36d23ff6e802974f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】已知等差数列
的公差为
,前n项和为
,
为某三角形的三边长,且该三角形有一个内角为
,若
对任意的
恒成立,则实数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a56f8a9f14dab4bd061ac817a39141be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231b861d6d1f1d0b9f52b041cb40eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8822116e53a05d2282e534b0873a6f87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2aa78c96db411c9e1e939ae16de78d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.7 | B.6 |
C.5 | D.4 |
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解题方法
【推荐3】我国古代数学著作
九章算术
中有如下问题:“今有女子善织,日自倍,五日织五尺,问日织几何?”意思是:“一女子善于织布,每天织出的布都是前一天的
倍,已知她
天共织布
尺,问这女子每天织布多少?”这个问题体现了古代对数列问题的研究.某数学爱好者对于这道题作了以下改编:有甲、乙两位女子,需要合作织出
尺布.两人第一天都织出一尺,以后几天中,甲女子每天织出的布都是前一天的
倍,乙女子每天织出的布都比前一天多半尺,则两人完成织布任务至少需要( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b0e787c1d82071c825975348698f58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/461950348087cdb06ec28d7569d14c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b72ac611ae66b86761e080761d9aabc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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