1 . 在等比数列
中,已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36d4be137c1d24a5eb5b7ac6d774375.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5faf76fe3074b0725dab4e615bb507c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36d4be137c1d24a5eb5b7ac6d774375.png)
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2 . 等比数列
中,
和
是关于
的方程
的两个根,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7147e313f9d9f67d19ecb5f499c05.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc858b7a95c5006a44067022da09f667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd268e82ddd114a0208499cb05a450f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7147e313f9d9f67d19ecb5f499c05.png)
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3 . 已知数列
的通项公式
为它的前
项和,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39feec096f8625e6fdad71731fa799c1.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287260f78f0c1a5a28ef22934d727a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39feec096f8625e6fdad71731fa799c1.png)
您最近一年使用:0次
2024-03-30更新
|
224次组卷
|
2卷引用:第六届高一试题(初赛)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
解题方法
4 . 已知数列
,对任意
都有
成立,且
,
,则数列
的通项公式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076a9a6eecec4c7891432d6934de8ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4c492ef0c41f7a2f4c15fb27df44a7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb826b0eee0ec278a944d5c78685c050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
您最近一年使用:0次
5 . 四人互相传球,由甲开始发球,并作为第一次传球,经过5次传球后,球仍回到甲手中.则所有不同的传球方式的种数为______ .
您最近一年使用:0次
6 . 设数列
的前
项和为
,令
,称
为数列
的“理想数”,已知
的“理想数”为2004,那么数列
的“理想数”为______ .
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ec74541f0ac0c31c4e947ac382af8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2b043b989216035c6fd985f1dd6a3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff99bd8a58df89ac64355221ec44d5ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55181e7fc543e756f1739f2ad4c1e292.png)
您最近一年使用:0次
解题方法
7 . 已知数列
是等比数列,前n项和
,则常数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d35b853b8341d3c7378741389b704ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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8 . 已知数列
满足
,则
等于( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40805bb69d40b534311dea2bda9e32e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5a9219209bd4544432b4ecbc97741af.png)
A.![]() | B.![]() | C.1 | D.2 |
您最近一年使用:0次
9 . 已知
,
,
.记:
;
;
,试用
表示
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca717c6a55e786238e64f7ebd69b9b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6647098a15a5a3da59e48c2315becc48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/001275b85cfe674b5fba3f6aaeec64c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374a751f76c40a28ff40d83119637e06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f73f2d4a10f99ea0dbeef0db1393dec7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc01e0f29d47363658756983f88adc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0158862238e250d2a2598b7d4ecd148.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
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10 . 等差数列
的前
项和分别为
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478421b81927e435cbcf5acafa89efd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9d361f09e7ca6d59ce71fe2c6da7f77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1f959646f47d0b32bfa6a3411ae55f.png)
A.![]() | B.![]() | C.![]() | D.以上答案均不对 |
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