解题方法
1 . 已知数列
满足
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b0c276b0142c7b279e54a47529cc23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ced564150c49c1afbe3e23cbd540ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686e234c0cb9d794feb6e5adedd1f300.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
2 . 已知函数
满足
,
,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d6e216d76cafd65f4e083c4605414e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db7707d6b2754808adefc9b2fb976a6.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() |
您最近一年使用:0次
名校
3 . 已知数列
的前n项和为
且
,给出下列四个结论:①长度分别为
的三条线段可以构成一个直角三角形:②
;③
;④
.其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae734ad099abbb2f7efe7d7a6a4169fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3807e619b383425065eda0ae269ef81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4a02ca421084c3a93d42597bdffb4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b3ee64ccd5bb72bbef0f514989c69a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62552c86435988206cdaee449df97a2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4024050c475a5fd70d29314576c6d0a1.png)
您最近一年使用:0次
2024-06-10更新
|
308次组卷
|
2卷引用:北京市中国人民大学附属中学2024届高三下学期5月热身练习数学试题(三模)
4 . 已知数列
满足
,
,
,则下列结论错误的是( )
![](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/12450dc3d97a4e15026ab56ae47bbd87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
A.![]() | B.存在![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
5 . 分形几何学是一门以不规则几何形态为研究对象的几何学,它的研究对象普遍存在于自然界中,因此又被称为“大自然的几何学”.按照如图1所示的分形规律,可得如图2所示的一个树形图.若记图2中第n行白圈的个数为
,其前n项和为
;黑圈的个数为
,其前n项和为
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
6 . 已知数列
满足,
.
(1)写出数列
的前五项,由此五项,写出数列
的一个通项公式(不需要证明);
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e594cde3f3aa94ce4637826f053e94f.png)
(1)写出数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](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)
您最近一年使用:0次
名校
解题方法
7 . 意大利著名数学家斐波那契在研究兔子繁殖问题时,发现有这样的一列数:
,该数列的特点是:从第三个数起,每一个数都等于它前面两个数的和,人们把这样的一列数所组成的数列
称为“斐波那契数列”,则
是斐波那契数列中的第______ 项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a638fcc8e7d8283654e836b24b938d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa371b6d8ee9bd048308878e0b4ea14c.png)
您最近一年使用:0次
8 . 对于数列
,规定
为数列
的一阶差分,其中
,规定
为数列
的k阶差分,其中
.若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e041b6f4afd9b5090e4a6b05c9b82ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6558223c3276e691c569a665b9ac5d08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f781d8e7a2965dff564da860e2f8d32b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7526cb1a1beabec0268efd30460e19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d6a804f6bed86e43859b180f466aa55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bb3d7598f05034a952bf5495354b9f.png)
A.7 | B.9 | C.11 | D.13 |
您最近一年使用:0次
名校
9 . 数列
的前
项和为
,若
,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19bf566cd9dd81916f53ed33248197c.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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9faad57128c31c9d3bb45e02e04e7f2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-05-18更新
|
606次组卷
|
3卷引用:福建省安溪第八中学2024届高三下学期5月份质量检测数学试题
10 . 已知数列
满足
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d3e9d8f1eb847531b2facb3351e7bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b825a9ea044d414f04fbdb375d2778c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次