名校
解题方法
1 . 设数列
的首项
,且
,
,
.
(1)证明:
是等比数列;
(2)若
,数列
中是否存在连续三项成等差数列?若存在,写出这三项,若不存在说明理由.
(3)若
是递增数列,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f258934739ab0989ebaa00025abcdfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6449976ac45703bf448dd960f0c315c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/225194b4c3de347ddf755be14b4bce90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2889dd3096379db5dfdd51305bdbb743.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f4e1236d7dc0366d9523d0cbb426be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
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2018-11-10更新
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834次组卷
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6卷引用:河南省周口市恒大中学2023-2024学年高二下学期开学考试数学试题