名校
解题方法
1 . 若
,且对任意正整数n,均有
,则称一个复数数列
为“有趣的”.若存在常数C,使得对一切有趣的数列
及任意正整数m,均有
,则C的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b670aca396b96eaf2c553b1ca84486dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a383b03b4869ea984d58b8d87c35402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/078c417ea54a5065c1f72941b9e4b0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/078c417ea54a5065c1f72941b9e4b0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7763a0445ba78bceb1bc24a9f1010f5c.png)
A.![]() | B.1 | C.![]() | D.![]() |
您最近一年使用:0次
2023-02-09更新
|
791次组卷
|
4卷引用:浙江省杭州市桐庐中学2022-2023学年高三上学期1月期末数学试题
浙江省杭州市桐庐中学2022-2023学年高三上学期1月期末数学试题(已下线)专题17 数列探索型、存在型问题的解法 微点1 数列探索型问题的解法河南省新乡市第二中学2024届高三上学期1月测试数学试题(已下线)【练】专题3 数列范围(最值)问题
名校
2 . 设数列
的各项都是正数,若对于任意的正整数
,存在
,使得
、
、
成等比数列,则称函数
为“
型”数列.
(1)若
是“
型”数列,且
,
,求
的值;
(2)若
是“
型”数列,且
,
,求
的前
项和
;
(3)若
既是“
型”数列,又是“
型”数列,求证:数列
是等比数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad52924df9291d5d191d18e09374ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681ae1522a36768618f7ddaf74abbb7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93ab544636f4e8a933f88e4fdd5a0f17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/453cd35e55fefbedb6210c2cca7fabcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63666ed9a7dfd5b578b43d513468acff.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a27ee67f4016a48492a614ea2dc774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2761c9ee8b440dd678baee4c17fdada.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c296e45b84cf67a98939aa7334e7d478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e1cbde26dc8fc0139bf9b917303fb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f1e55cb07aa8350755e0e4f54ca0fe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c296e45b84cf67a98939aa7334e7d478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8ce8c07e34224e2d25130ed27c9a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
您最近一年使用:0次
2019-08-17更新
|
461次组卷
|
2卷引用:上海市格致中学2018-2019学年高三下学期三模数学试题