名校
解题方法
1 . 已知数列
为等差数列,公差为
,前
项和为
.
(1)若
,求
的值;
(2)若首项
中恰有6项在区间
内,求
的范围;
(3)若首项
,公差
,集合
,是否存在一个新数列
,满足①此新数列
不是常数列;②此新数列
中任意一项
;③此新数列
从第二项开始,每一项都等于它的前一项和后一项的调和平均数.若能,请举例说明;若不能,请说明理由.(注:数
叫做数
和数
的调和平均数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c2d1a12d12803534db0e52cb194489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08c9965a04c2a6de04e949a15762f372.png)
(2)若首项
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a79ad1addaf50a6159a55d9d0845a6fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65fee4e27b361e30d76db328b9048b49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(3)若首项
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3012337aa392709349731fb1eef5b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c85144ca40f64972b8c94652f3926628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6856c966ef5c9461552f681de2c48558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b4dda7369edf57a39cfad583031328a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2023-02-08更新
|
537次组卷
|
2卷引用:辽宁省沈阳市辽宁实验中学北校2023-2024学年高二下学期4月阶段测试数学试题
10-11高一下·辽宁大连·期末
2 . 已知函数
满足
,对任意
恒成立,在数列
中,
,
,对任意![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8e12071a5c8db12c6f076849688b7a.png)
(1)求函数的解析式
(2) 求数列
的通项公式
(3) 若对任意的实数
,总存在自然数
,当
时,
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e638ad193e61a4c650046e8de4ae6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8e12071a5c8db12c6f076849688b7a.png)
(1)求函数的解析式
(2) 求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
(3) 若对任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afe62a251f3d6dfb60ba2a42bdda534c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4fef5f2a4235817fb704d29e08766e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9538aabd050731ec4688cf47ad32fa96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次