1 . 已知数列
满足
,
.
(Ⅰ)求证:数列
为等差数列,并求数列
的通项公式;
(Ⅱ)若数列
满足
.
①求证:
;
②求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0ae8af1b4dfc31c317fcbe291d28b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d971b3e74014e2a8eb7e90f4529b42f4.png)
(Ⅰ)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099a64d86bd0b4602578d910322adc1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅱ)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a198acf03cdeefbf200ae41fbf577c89.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f8f1b85895c28178f41fd154f76c5d.png)
②求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35ddf0bae58dd1e841cd37847afa8c6f.png)
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2020-05-26更新
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2卷引用:安徽省合肥市第六中学2019-2020学年高一下学期期末数学试题