名校
解题方法
1 . 已知数列
中,
,
,则下列结论正确的是( )
![](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/d473f50e50d7b532dfb81983e4f9f094.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-15更新
|
1256次组卷
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6卷引用:广东省揭阳市惠来同仁北实高级中学2024届高三上学期期中学业诊断数学试题
广东省揭阳市惠来同仁北实高级中学2024届高三上学期期中学业诊断数学试题山西省太原市2024届高三上学期期中数学试题福建省德化一中、永安一中、漳平一中三校协作2024届高三上学期12月联考数学试题江苏省泰州市兴化市2024届高三上学期期末适应性考试数学试题(已下线)重难点5-1 数列通项公式的求法(8题型+满分技巧+限时检测)(已下线)模块四 数列(测试)
2 . 若在数列的每相邻两项之间插入此两项的和,形成新的数列,再把所得数列按照同样的方法不断构造出新的数列.现对数列1,2进行构造,第一次得到数列1,3,2;第二次得到数列1,4,3,5,2;依次构造,第
(
)次得到的数列的所有项之和记为
.
(1)求
与
满足的关系式;
(2)求数列
的通项公式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090426eb29836bc30c006b3739c08057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
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名校
解题方法
3 . 设数列
的前
项和为
,
,
,则下列结论正确的是( )
![](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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d50f7eae10e4c4d291ada2e1d36434c.png)
A.若![]() ![]() ![]() | B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() | D.若![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
4 . 已知数列
满足
,
,
为参数且
.
(1)求
、
的值(用
表示),并探究是否存在
使得数列
成等比数列,若存在,求
的值,无需证明.
(2)当
时,求
的前
项和
;试给出
前
项和
表达式.
![](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/ad6ce88f1e9d9acde5b6a51f79958db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2f2d7c81cb44416bcdf59419637682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9a0d7150fb24be3e28ef7f0e18be93.png)
![](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)
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5 . 已知数列
满足
,且对任意正整数m,n都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4212b6e50bb7fa70220e1dd27bbbeda3.png)
(1)求数列
的通项公式;
(2)求数列
的前n项和
.
![](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/4212b6e50bb7fa70220e1dd27bbbeda3.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b2e1bb8879fee8024c9b12ac24350fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2023-11-09更新
|
1787次组卷
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3卷引用:广东省深圳市龙岗区2024届高三上学期期末质量监测数学试题
名校
解题方法
6 . 已知数列
的前
项的和为
,
,
,
,则下列说法正确的是( )
![](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/f56de8f4df2cbd501c56927d5e56847f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47dce0a1fe55239f8017915d53669ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1792298dd15b62f5ddd44e7b3341784.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-11-06更新
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1237次组卷
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6卷引用:广东省佛山市顺德区普通高中2024届高三上学期教学质量检测(一)数学试题
广东省佛山市顺德区普通高中2024届高三上学期教学质量检测(一)数学试题河北省衡水市冀州中学2024届高三上学期期中数学试题黑龙江省佳木斯市第一中学2024届高三第四次调研考试数学试题福建省福州市福清西山学校2024届高三上学期12月月考数学试题(已下线)考点4 等比数列的定义与判断 2024届高考数学考点总动员【练】(已下线)重难点5-1 数列通项公式的求法(8题型+满分技巧+限时检测)
7 . 已知数列
满足
,
,则( )
![](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/de9743efd677eb188b1f412799923d97.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-11-05更新
|
440次组卷
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3卷引用:广东省广州市华南师范大学附属中学2024届高三上学期综合测试(二)数学试题
8 . 已知各项均不为零的数列
的前
项和为
,
,
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
__________ ;
的最大值等于__________ .
![](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/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7fdd606e80f1f7c0a559d259d381c6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc208502a66c7206fa643dc46870b18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5b083c3cf55f65f882796e960f4c3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addee6ce5163a2580888ce2da22714af.png)
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名校
9 . “斐波那契”数列由十三世纪意大利数学家斐波那契发现,该数列满足递推关系:
,
.已知数列
为“斐波那契”数列,
为数列
的前
项和,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8323901a49cac29afd7d62864f088077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/905cd9e324a4a93cbe68ebeab5126604.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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e7115630e98bb67bfd729ef33b5dd32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5eb9b8f893dd71876349ad40724550.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-03更新
|
656次组卷
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5卷引用:广东省揭阳市惠来县第一中学2023-2024学年高二上学期第二次阶段考试数学试题
广东省揭阳市惠来县第一中学2023-2024学年高二上学期第二次阶段考试数学试题甘肃省酒泉市四校联考期中2023-2024学年高二上学期期中数学试题甘肃省定西市临洮中学2023-2024学年高二上学期期中数学试题(已下线)考点16 几类特殊的数列模型 2024届高考数学考点总动员【练】(已下线)第4.1.2讲 数列的递推公式与前n项和-2023-2024学年新高二数学同步精讲精练宝典(人教A版2019选修第二、三册)
名校
解题方法
10 . 已知数列
的首项为
,
是
边
所在直线上一点,且
,则数列
的通项公式为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/788d9c12130a2e8f6fe20f7960356e3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-02更新
|
1573次组卷
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5卷引用:广东省揭阳第一中学榕江新城学校2024届高三上学期期中数学试题