名校
1 . 在数列
中,
,
,则
的前2024项和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71d4a9c13754e4083ba948afd4a35ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.589 | B.590 | C.![]() | D.![]() |
您最近一年使用:0次
名校
2 . 蜜蜂是母系社会生物,蜂后产的卵若能受精则孵化为雌蜂,若不能受精则孵化为雄蜂即雄蜂是“有母无父”,雌蜂是“有父有母”的,下图是某只雄峰的家系图,规定:其“父母”为上溯第1代祖辈.其“祖父母”为上溯第2代祖辈,以此类推.记
表示该雄蜂上溯第n代祖辈数量,例如
,那么下列结论中不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9da2b0e7b9eca965043be2f38a91f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005f1439800a880d7b50ab7c98da9c4e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知数列
中各项均为正数,且
,给出下列四个结论:
①对任意的
,都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0515775e751e33b3df49f5ee93c6792.png)
②数列
可能为常数列
③若
,则当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6d5bc22be6388e3a0c79701c5fe56f.png)
④若
,则数列
为递减数列.
其中正确结论有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0dfc31b1b5b7f65cc7da953aae130b.png)
①对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0515775e751e33b3df49f5ee93c6792.png)
②数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a40af859d892e1c30f300678e4a05c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6d5bc22be6388e3a0c79701c5fe56f.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/492b4cec252b0417cbec8e361718001d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
其中正确结论有( )
A.1 | B.2 | C.3 | D.4 |
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2024高三下·全国·专题练习
解题方法
4 . 设“斐波那契数列”为
,数列
的前
项中随机抽取1项,能被3整除的概率是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e8936c9fe1e81726455908657a29fc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
5 . 已知数列
中,
,
(其中
表示
的整数部分,
表示
的小数部分),则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d2b2d4f703cbaa738a7cdfc7129c17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37941d690486e2b674f965c6cafb3f95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b467b0667aad83b30ce6ef93ed88289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24266445fd940abb343ac52372f3f80a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7b44aa2e8257a15ec68a5f48bd3733.png)
A.2024 | B.2025 | C.4046 | D.4047 |
您最近一年使用:0次
2024高三·全国·专题练习
6 . 已知
,
,数列
满足
,
,
,则 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f515a2b16232d8c17df0a03a9f835d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fab51121848ce166035ceab6f4e00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73702a22abbf58a70e56a40540de7355.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09881de0dc186bbcd1e60eb00159ee97.png)
A.当![]() ![]() | B.当![]() ![]() |
C.当![]() ![]() | D.当![]() ![]() |
您最近一年使用:0次
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7 . 已知数列
的首项
,当
时,
,若
,则
的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55c81a793ff754519ba26469585dedc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2bbb0b451614ddf751cbd3352eace89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.2022 | B.2023 | C.2024 | D.2025 |
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2024-05-08更新
|
386次组卷
|
4卷引用:河南省南阳市六校联考2023-2024学年高二下学期4月期中考试数学试题变式题1-5
(已下线)河南省南阳市六校联考2023-2024学年高二下学期4月期中考试数学试题变式题1-5河南省南阳市六校联考2023-2024学年高二下学期4月期中考试数学试题(已下线)模块四专题1重组综合练(河南)高二安徽省六安市金寨县青山中学2023-2024学年高二下学期期中考试数学试题
2024·全国·模拟预测
解题方法
8 . 已知数列
满足
,
,若
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b71ef6cb9c5d494692d40a9ef279f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9679f99308205d57bbe85d9aef74af0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591100ab4a458ef6a0835a122c3c5b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4077d5b51cc3c00e7d2b8038035dc1.png)
A.10 | B.12 | C.16 | D.18 |
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解题方法
9 . 在数列
中,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc5e0da4e2ee24fe5d4a2e0eedda6ae3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd21f4cb498101d26b4aaa2e1a6addc.png)
A.1012 | B.1013 | C.2023 | D.2024 |
您最近一年使用:0次
2024-04-19更新
|
562次组卷
|
4卷引用:河南省南阳市六校联考2023-2024学年高二下学期4月期中考试数学试题变式题1-5
(已下线)河南省南阳市六校联考2023-2024学年高二下学期4月期中考试数学试题变式题1-5(已下线)专题3 复杂递推及斐波那契数列相关二阶递推问题【讲】(高二期末压轴专项)河南省南阳市六校联考2023-2024学年高二下学期4月期中考试数学试题湖南省长沙市湖南师范大学附属中学2024届高三下学期高考模拟(三)数学试卷
名校
10 . 已知数列
满足
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9cff1a9ceaafab92feca53e701b150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd21f4cb498101d26b4aaa2e1a6addc.png)
A.![]() | B.![]() | C.2 | D.4 |
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