1 . 设
为整数.有穷数列
的各项均为正整数,其项数为m(
).若
满足如下两个性质,则称
为
数列:①
,且
;②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4daddea99be0888d1d6c560987c4bc2.png)
(1)若
为
数列,且
,求m;
(2)若
为
数列,求
的所有可能值;
(3)若对任意的
数列
,均有
,求d的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ac49ab7c8001c209b8611b9ea40d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280f1e7d3e287061e928c064f2197e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7577a0af23649b4a2a25326fb9499c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6b02eaacb42cc64295856fefdd5d287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4daddea99be0888d1d6c560987c4bc2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6065aaa8f3f103d1bc960da8318ce35.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c39770fd747beb3f0431bd6e86876e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
(3)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d43703b905a9846c8f49f23b07ca661d.png)
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2023-05-05更新
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6卷引用:江苏省南京市南京外国语学校2024届高三下学期2月开学期初考试数学试题
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