名校
1 . 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
|
302次组卷
|
2卷引用:2024届河北省承德市部分示范高中高三三模数学试题
名校
2 . 在数列
中,
,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2815b24f5a89be7ae53aed93182e8988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa2d5f6ce6faf0e01dc769c9949c3437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11075f2c574b6c59b97fb3038000e38.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-28更新
|
263次组卷
|
2卷引用:河北省邢台市第一中学2023-2024学年高二下学期期中测试数学试题
3 . 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
名校
解题方法
4 . 在数列
中,
,都有
成立.
(1)证明:数列
是等差数列;
(2)若数列
是首项为1的等差数列,求实数
的值及数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b78297a65e7fad69635b19928ecc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2409107e98dbd38ddae5bbe934f1bd2e.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8194a62bc60a9da9b5cf76f9dc0fa09.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
5 . 已知数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baace4b72eca0616a42834e515210a01.png)
(1)写出
;
(2)证明:数列
为等比数列;
(3)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baace4b72eca0616a42834e515210a01.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed529240a883f68f0921e818addeb9c8.png)
(2)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9341a8e07b3e0af5b65ab199a25b0c.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314501f06c7e4bf3112fe41ecac7be68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/762bc360e4431d503ae8bd147d5a288c.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
2024-04-16更新
|
1980次组卷
|
5卷引用:河北省石家庄市2024届高三下学期教学质量检测(二)数学试卷
河北省石家庄市2024届高三下学期教学质量检测(二)数学试卷(已下线)第二套 艺体生新高考全真模拟 (二模重组卷)(已下线)5.3 数列的求和问题(高考真题素材之十年高考)(已下线)压轴题05数列压轴题15题型汇总-1陕西省西安市西安中学2024届高三仿真考试(一)数学试题
6 . 已知数列
,
,满足
,
,当
时,
,则( )
![](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/d5d5286d383d990492b5b8035fdcbc45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebaf2a2590bb84d646957f913d78f6dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9dfd3612076c87f14119af2319b01ab.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
7 . 意大利数学家斐波那契在研究兔子繁殖问题时发现数列1,1,2,3,5,8,13,……数列中的每一项称为斐波那契数,记作
.已知
.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9da2b0e7b9eca965043be2f38a91f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b0c75cf57f4bc71fed518212e9173b.png)
A.![]() |
B.![]() |
C.若斐波那契数![]() ![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
2024-04-01更新
|
257次组卷
|
2卷引用:河北省正定中学2023-2024学年高二下学期第一次月考数学试题
8 . 已知数列
满足
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ea47801d8340f3d0ccf3153cb8bcb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
A.3 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-21更新
|
942次组卷
|
3卷引用:河北省邢台市五岳联盟2023-2024学年高二下学期3月月考数学试题
名校
9 . 在数列
中,已知
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ea47801d8340f3d0ccf3153cb8bcb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e4487468ab2823d6dbf7f0ebd2eb38.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-04更新
|
501次组卷
|
2卷引用:河北省邢台市2023-2024学年高二上学期1月期末数学试题
10 . 在数列
中,满足
,则
的值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264107f1eed5885864de03c65cb3a127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca0d579b21444c33d1dd802dbef20ef.png)
您最近一年使用:0次