1 . 设不等式组
所表示的平面区域为
,记
内的整点个数为
,(整点即横、纵坐标均为整数的点)
(1)计算
的值;
(2)求数列
的通项公式
;
(3)记数列
的前
项和为
,且
,若对于一切的正整数
,总有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cc8c4388452ab64b54db55bffa7352b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/163e5879f61fdb6bc8771455f40fcbdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/163e5879f61fdb6bc8771455f40fcbdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d064196f38b30602e2c37475c1b59d16.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e811319298c688d1264a792699a5d35.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bfccafa83afe5ee21eab6ef2b2c8852.png)
(3)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b708c8dcb2d66eb2ce0b3718a9cd924a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d133c4c47f9746b8d0bee0d24e10f6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da0f1349bbb967b5b1b1cd13288efaca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
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解题方法
2 . 已知函数
(a,b为常数,
),
,且
有唯一的解.
(1)求
的表达式;
(2)记
,且
,证明数列
是等差数列并求出
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ffddac685bc1056fd8f0bc616dd0cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b4ed4485745f1d259a3953c242b9cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a18ca67c2770b98f36dbfd802595a95.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d36f8b82978acaef7bd2c90577578f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a60302649eb940748da818199e55da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3100ae0145d424c88cf5cf7c0e394241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
您最近一年使用:0次
2022-05-04更新
|
209次组卷
|
3卷引用:四川省南充市白塔中学2021-2022学年高一下学期期中考试数学(理)试题
解题方法
3 . 设数列
的前
项和为
,对一切
,点
在函数
的图象上.
(1)求
的表达式;
(2)设
为数列
的前
项积,是否存在实数
,使得不等式
对一切
都成立?若存在,求出
的取值范围;若不存在,请说明理由;
(3)将数列
依次按1项、2项循环地分为
,分别计算各个括号内各数之和,设由这些和按原来括号的前后顺序构成的数列为
,求
的值.
![](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/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41f32693d25ece7f8e22c34a183537f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f762c96e3ac6d45248ff06ebd7a6e0d8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09953c3d3c8bb8566bb740c3a7d53e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb8f5cff3bc3f6b86f68837d11106fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)将数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/830e6579d84bd90321c7a87ba078f41e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c50b5f75c050e3b40f1e35fdc114e.png)
您最近一年使用:0次
2024-03-23更新
|
113次组卷
|
2卷引用:第六届高一试题(初赛)-“枫叶新希望杯”全国数学大赛真题解析(高中版)