名校
1 . 意大利著名数学家斐波那契在研究兔子的繁殖问题时,发现有这样的一列数:1,1,2,3,5,8,13,21,….该数列的特点如下:前两个数均为1,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组成的数列
称为斐波那契数列,现将
中的各项除以2所得的余数按原来的顺序构成的数列记为
,数列
的前n项和为
,数列
的前n项和为
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
A.![]() | B.![]() |
C.若![]() ![]() | D.![]() |
您最近一年使用:0次
2023-05-23更新
|
976次组卷
|
12卷引用:重庆市綦江区等5地2023届高三上学期12月月考数学试题
重庆市綦江区等5地2023届高三上学期12月月考数学试题山西省部分学校2023届高三上学期11月联考数学试题湖北省武汉市江岸区2022-2023学年高二上学期期末数学试题河北省邢台市内丘县等5地2022-2023学年高二上学期第三次(12月)月考数学试题湖北省武汉市华中科技大学附属中学2022-2023学年高二下学期2月月考数学试题江西省南昌市第五中学2022-2023学年高二下学期第一次月考数学试题江苏省南通市如皋中学2022-2023学年高三下学期4月阶段测试数学试题(已下线)第三篇 数列、排列与组合 微点9 多边形数、伯努利数、斐波那契数、洛卡斯数、明安图数与卡塔兰数综合训练甘肃省白银市靖远县第四中学2023-2024学年高二上学期9月月考数学试题(已下线)【一题多变】斐波那契数列1(已下线)第4章 数列单元检测(提优卷)-2023-2024学年高二数学《重难点题型·高分突破》(苏教版2019选择性必修第一册)(已下线)压轴题05数列压轴题15题型汇总-2
名校
2 . 在
中,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7851dc502e4e803f30953f9254de00c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/688638541aed94725d40860dab0c0015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879d9133c919116ce2bdd18df1d2b2ee.png)
(1)求
的值;
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/333c0ee9c4e52cf234c3e91e5a98770c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1333cdf8fb69d80828a7cfa621697ab7.png)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7851dc502e4e803f30953f9254de00c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/688638541aed94725d40860dab0c0015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879d9133c919116ce2bdd18df1d2b2ee.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b01adc561735ff5be9bb97266918f2.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/333c0ee9c4e52cf234c3e91e5a98770c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1333cdf8fb69d80828a7cfa621697ab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed0dd8ef70f907cac046f15f68ed5d5.png)
您最近一年使用:0次
3 . 已知首项都是1的两个数列{
},{
}(
≠0,n∈N*)满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f379586601dadb588ad439226b1d1a0.png)
(1)令
,求数列{
}的通项公式;
(2)若
=
,求数列{
}的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9408e3483a9e54c6598e4ce7fb9211f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ea1f915eed0bb5e662313e084e9328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ea1f915eed0bb5e662313e084e9328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f379586601dadb588ad439226b1d1a0.png)
(1)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/786ff08602874aebc771b0c7dc6c6dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b0c0c0518d95224872da0acf5c6b30.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ea1f915eed0bb5e662313e084e9328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d17568772e309b6775939a4b4cd1af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9408e3483a9e54c6598e4ce7fb9211f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58fce1b44d0491f277449f0217f4f3ec.png)
您最近一年使用:0次
2018-08-12更新
|
961次组卷
|
10卷引用:重庆市綦江实验中学校2017-2018学年高一下学期半期考试数学(理)试题.
重庆市綦江实验中学校2017-2018学年高一下学期半期考试数学(理)试题.2015届甘肃省天水市一中高三5月中旬仿真考试理科数学试卷2015-2016学年河北衡水冀州中学高二上学期第一次月考理科数学试卷2016届贵州市兴义市八中高三上第四次月考理科数学试卷2015-2016学年贵州遵义一中高二下联考理科数学试卷2015-2016学年贵州遵义一中高二下联考文科数学试卷河南省林州市第一中学2019-2020学年高二(实验班)4月月考数学试题江苏省木渎高级中学2020-2021学年高二上学期三校12月联合调研数学试题(已下线)重难点02:求数列前n项和常用10种解题策略-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)(已下线)专题21 数列解答题(理科)-2
名校
4 . 已知函数
,无穷数列
满足
.
(1)若
,求
;
(2)若
,且
,
成等差数列?若存在,求出所有这样的
;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eec7831889b518b64a7f73931a72bd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bac366b967aa441db8fcd15381c8b35.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bae03ee4ac75dacfb026290e4207dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed529240a883f68f0921e818addeb9c8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9304e71a623c4412188a800046a970d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
您最近一年使用:0次