名校
解题方法
1 . 设等差数列
的前
项和为
,则有以下四个结论:
①若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ca47be5a21ea60ebd04dd8945852d8.png)
②若
,且
,则
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eef1f2c439ad1043f4b0e8892066826.png)
③若
,且在前16项中,偶数项的和与奇数项的和之比为3:1,则公差为2
④若
,且
,则
和
均是
的最大值
其中正确命题的序号为___________ .
![](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)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd67cf18bd35149475d35f1c603ad59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ca47be5a21ea60ebd04dd8945852d8.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45c65fa15317b33766389407c427668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642a443e3315a7fb6489b01fad7e3215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd3c579e5e0540f190994cbb5b0653a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eef1f2c439ad1043f4b0e8892066826.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8bdb404dcbe74cd8bbd30de782a8fa.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a8933c07e3651731291184c080766c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41c4154f019120be078200f2dff6f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
其中正确命题的序号为
您最近一年使用:0次
2023-11-26更新
|
505次组卷
|
5卷引用:宁夏银川市唐徕中学2023-2024学年高三上学期期中考试数学(理)试题
宁夏银川市唐徕中学2023-2024学年高三上学期期中考试数学(理)试题北京朝阳区六校联考2024届高三12月阶段性诊断数学试题北京第五中学2023-2024学年高三下学期开学检测数学试卷(已下线)2024年高考数学二轮复习测试卷(北京专用)(已下线)4.2.2 等差数列的前n项和公式——课后作业(提升版)
解题方法
2 . 等差数列
的公差
,
是其前n项和,给出下列命题:若
,且
,则
和
都是
中的最大项;给定n,对于一些
,都有
;存在
使
和
同号;
.其中正确命题的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d8bbb4a09e0ac86bbae46222a90841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/277d63e2ebf03b22f9f110b436342043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27182444d3da4003680f07ec299087c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a48e81b54f78b96294295542b010dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22db6654cd047b8d214e3cda861d2de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668a397301141b4e3fa8109515847004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf5776ec7059c208daf01ca48a34915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68040f99c4f1199f33ae9e269b700db0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177e4374fb738c4f13dc58e9025c88e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc5df9b9a310fa06507207fd1afc048.png)
您最近一年使用:0次
2022高一·全国·专题练习
解题方法
3 . 已知函数
,各项均不相等的数列
满足
,
,数列
和
的前
项和分别为
和
,给出下列两个命题:
①若
,则
;
②存在等差数列
,使得
成立.关于上述两个命题,
以上说法正确的是______ .(填写序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a89aebeb8393a39f62d34c89fdc5654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/811308edf40d7e10059f5652f0e65420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292b7800ba829f3f458cd6c23edf68a7.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66efb7bb8ed08d5b8b1d51e7d4dddb83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cf3107b2fbe839c67499bf58175a117.png)
②存在等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95603baa4634fa1ef7fe744ff5180586.png)
以上说法正确的是
您最近一年使用:0次
名校
4 . 学者森德拉姆(Sundaram)发现了一个有意思的素数筛法矩阵,这个矩阵后来在素数研究领域获得广泛应用.我们用
(
)表示矩阵中第i行第j列处的分量,这些分量之间满足如下递推关系:
,
,
,数表局部如下:
关于森德拉姆(Sundaram)素数筛法矩阵,有下列说法
①
; ②
;
③
; ④存在i,
使得
.
其中,所有正确说法的序号是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ba1bbe411bc71bca016d3fd82352f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8ad3cf001b89b9df5363d096eacee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6123377e52f8611dc24eccc0dc29bf40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04230dc33504a3af9682bfcdb71b0921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/534a7166c49a9f39c31b5d92e66a5b42.png)
4 | 7 | 10 | 13 | 16 | 19 | … |
7 | 12 | 17 | 22 | 27 | 32 | … |
10 | 17 | 24 | 31 | 38 | 45 | … |
13 | 22 | 31 | 40 | 49 | 58 | … |
16 | 27 | 38 | 49 | 60 | 71 | … |
19 | 32 | 45 | 58 | 71 | 84 | … |
… | … | … | …… | … | … | … |
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e10512e15a48cb2b27cc60a90086f94b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01804f36afe15f0327cc8ae450b6294e.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2abebbae7edc68681b50c47aafd9d1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cfbd6f249dc98fdabe20ec58fbc467c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b00503e90e7f627e9c85f76d195a54.png)
其中,所有正确说法的序号是
您最近一年使用:0次
5 . 判断正误(正确的填“正确”,错误的“错误”)
(1)已知等差数列的首项、公差,可求S10.( )
(2)在等差数列中涉及a1,d,n,an,Sn五个量,利用方程思想可以“知三求二” .( )
(3)在等差数列{an}中,若a1=2,a9=10,则S9=45.( )
(4)公式an=Sn-Sn-1成立的条件是n∈N*.( )
(1)已知等差数列的首项、公差,可求S10.
(2)在等差数列中涉及a1,d,n,an,Sn五个量,利用方程思想可以“知三求二” .
(3)在等差数列{an}中,若a1=2,a9=10,则S9=45.
(4)公式an=Sn-Sn-1成立的条件是n∈N*.
您最近一年使用:0次