解题方法
1 . 已知数列
是等差数列,其前n项和为Sn,若
,
.
(1)求
;
(2)若数列{Mn}满足条件:
,当
时,
-
,其中数列
单调递增,且
,
.
①试找出一组
,
,使得
;
②证明:对于数列
,一定存在数列
,使得数列
中的各数均为一个整数的平方.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa45ba57a920ce722a0e17307601b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d177df50b8c484fe1bb22342421328f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)若数列{Mn}满足条件:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7821a658acd4326fcaca1b3deca9da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a55f63ec71a096320bb0ca7990f712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/956cfc1bc1bd2b59fc3e10019804c2d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272b44a71d0bec02b3c4f3f05304f942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7506cd409fc15693d2fa0f69fcc0464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/961830705c754fdfbdbc8303b58d0bcd.png)
①试找出一组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd84a8f95166367063218ee03ffd5a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db31d2bbc9b044646fd026f239e7b62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0e88cfcfa8e8cec01cc4e85da805da7.png)
②证明:对于数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272b44a71d0bec02b3c4f3f05304f942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ada1e6800ad9d452585f9a6cf1ab7ef9.png)
您最近一年使用:0次
2016-12-03更新
|
861次组卷
|
6卷引用:盐城市2019届高三年级第一学期期中模拟考试数学试题
2 . 在一个有穷数列的每相邻两项之间插入这两项的和,形成新的数列,我们把这样的操作称为该数列的一次“和扩充”.如数列1,2第1次“和扩充”后得到数列1,3,2,第2次“和扩充”后得到数列1,4,3,5,2.设数列a,b,c经过第n次“和扩充”后所得数列的项数记为
,所有项的和记为
.
(1)若
,求
,
;
(2)设满足
的n的最小值为
,求
及
(其中[x]是指不超过x的最大整数,如
,
);
(3)是否存在实数a,b,c,使得数列{
}为等比数列?若存在,求
b,c满足的条件;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb179b52814cf68ce86201e14c1dcae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
(2)设满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02d9ec2496e67711ab849b0f8988cd50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7e9f86738335a22298559db41037a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7e9f86738335a22298559db41037a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28ede5e4c703019a7250cb63503df94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fe1e778c9e668594c42b77459328c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf031d0c50f5013e0a8469d1f609d81.png)
(3)是否存在实数a,b,c,使得数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe9fbbd9c88736e500f5251f97b08452.png)
您最近一年使用:0次
2023-03-28更新
|
566次组卷
|
6卷引用:江苏省盐城第一中学2023-2024学年高二上学期第二次学情调研考试(期中)数学试卷