名校
解题方法
1 . 已知等比数列的公比为整数,且
,数列
的前
项和为
.
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次
2024-03-24更新
|
299次组卷
|
2卷引用:1号卷·A10联盟2022届全国高考第一轮总复习试卷数学(文科)试题(十二)
解题方法
2 . 在正项数列
中,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a3ea943a288369a4f11d340b1379301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0db9b5bec6c73846ed31eba4c46b52a9.png)
A.16 | B.8 | C.![]() | D.7 |
您最近一年使用:0次
解题方法
3 . 已知
的内角
的对边分别为
,若
成等差数列,则
的范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e5d4f93699f8dcffb0e7840ca5597e.png)
您最近一年使用:0次
4 . 已知数列
的前
项和为
,
,若
,则
取最大值时,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/1cccb575b747df7f48a4cc6aa050d5e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd7add9adf1c0c46be13580f7a30192.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ab05b04cbec4fadfa0a95f6e27cc96.png)
A.3 | B.![]() | C.4 | D.3或4 |
您最近一年使用:0次
5 . 已知数列
中,
,
,
.
(1)求证:数列
是等比数列;
(2)记数列
的前
项和
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78cb4881067e9d80f7ade344864f329f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e264c278b0ca7a6809b86da100423971.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(2)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/5f3cf6f2bbe20a404fea41a4d2b1c4c7.png)
您最近一年使用:0次
6 . 已知
,
,
,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4292234d8a1c922266e2e53f8048c95b.png)
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e181cf680167b7aa6808d7b9e803f85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d499cf8b05914b0a434396d4846929a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03d84f9bfb2c9de5beef25d4edf529f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4292234d8a1c922266e2e53f8048c95b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89ba85f74cda4ddd621278e558bc036f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
您最近一年使用:0次
解题方法
7 . 已知等差数列
的首项为
,公差为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
,前
项和为
,若对
,
为常数k.
(1)求k;
(2)当
时,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f282b34cb12ceb853401ede8b9ff7408.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/d12d0bd9afdd4e53ff37f5bfcaa1106c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a3dab80709d7a4798633a904e1323d.png)
(1)求k;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fc336b4a83bf6d66c4afcc431597f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f47815f3f2bd6e1d656ee9b413ecb1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
8 . 等差数列
的前
项和为
,若
,
,则
的公差为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/e081fefdf536e0e3872c7d69128b183d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1ffea610bb8cc1701142c58024db05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
A.4 | B.6 | C.8 | D.10 |
您最近一年使用:0次
2024-02-28更新
|
243次组卷
|
2卷引用:中原名校2022年高三上学期第三次精英联赛文数试题
9 . 若数列
的前
项和
,则数列
的前
项和
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab8159d658290b9df2453eef6f275b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be67f7ce9d528348fa1cf90208d305c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-27更新
|
714次组卷
|
2卷引用:中原名校2022年高三上学期第四次精英联赛文科数学试题
10 . “中国剩余定理”又称“孙子定理”.1852年,英国来华传教士伟烈亚力将《孙子算经》中“物不知数”问题的解法传至欧洲.1874年,英国数学家马西森指出此法符合1801年由高斯得到的关于同余式解法的一般性定理,因而西方称之为“中国剩余定理”.“中国剩余定理”讲的是一个关于整除的问题,现有这样一个整除问题:将1到2020这2020个数中,能被3除余1且被4除余1的数按从小到大的顺序排成一列,构成数列
,则此数列的项数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.167 | B.168 | C.169 | D.170 |
您最近一年使用:0次