求集合
,且
中元素的个数,并求这些元素的和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6200ffdc7d16045383bf492e88fae30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/777bcbe850b683c1ced2a6abfbf8dbaa.png)
21-22高二上·全国·课后作业 查看更多[5]
人教A版(2019) 选择性必修第二册 新高考名师导学 第四章 4.2 等差数列(已下线)4.2 等差数列(已下线)4.2.3 等差数列的前n项和人教A版(2019)选择性必修第二册课本习题4.2 等差数列苏教版(2019)选择性必修第一册课本习题4.2.3 等差数列的前n项和
更新时间:2021-02-07 20:28:04
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【推荐1】已知数列
中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98b760e2f0c2c2cdff85b8585df21084.png)
.
(1)是否存在实数
,使数列
是等比数列?若存在,求
的值;若不存在,请说明理由;
(2)若
是数列
的前
项和,求满足
的所有正整数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98b760e2f0c2c2cdff85b8585df21084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11c105ea15c7918ad68e86d12703639.png)
(1)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5fffd330dd6b9241659d790bd2a7fb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87515127a5f57b95f47ee18d27b96c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5fffd330dd6b9241659d790bd2a7fb2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9403f1cbcbe70add5171ba9f0da996a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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【推荐2】已知等差数列
的公差为2,且
成等比数列.
(1)求数列
的通项公式;
(2)设数列
的前
项和为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/920ad6b9e7f1c2c4a5a3025ba57e71b1.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设数列
![](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/08c9965a04c2a6de04e949a15762f372.png)
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【推荐1】设数集
满足条件:①A
R;②
且
;③若
,则
.
(1)若
,则
中至少有多少个元素;
(2)证明:
中不可能只有一个元素.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b980d8446f130dfc405c196109e73ea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72552b86b4558a36aac78c7148d6a6a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84dededf0bca6907ca47d7ab4d8a154a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc020b0997a2f37b214718112b79d8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dbf4c218f86b57e8f9a98b5459c8e14.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed961de27af72b7d11887ccfb6f15071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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【推荐2】已知实数集R的子集S满足条件:①
;②若
,则
.求证:
(1)若
,则S中必有另外两个元素;
(2)集合S中不可能只有一个元素.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1107c91e7c65ca51173ef4c4a3dda02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9409604b37bb50e8ef3fea8db56d5687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f94a5ad558be9315502df1219d533c4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ae18dfd288e4c9f51e08695eb651a79.png)
(2)集合S中不可能只有一个元素.
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