解题方法
1 . 已知数列
的前
项和为
,且满足
,且
.
(1)求证:数列
为常数列,并求
的通项公式;
(2)若使不等式
成立的最小整数为
,且
,求
和
的最小值.
![](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/80a51fdb3d97b50142146e1323d38fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d184bbed41bf722800038b31fa82ef.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9005e40f6d18bdda17831b849b36f5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若使不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7b88174caa1380678186c1189f1624.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b06e95b57b7a81cd81d05557a11fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f3041a8e109178d9754f6ff98d70d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2023-03-10更新
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3卷引用:广西平果市铝城中学2023-2024学年高二上学期期末预测数学试题