1 . 将正整数
填入
方格表中,每个小方格恰好填1个数,要求每行从左到右10个数依次递减,记第
行的10个数之和为
. 设
满足:存在一种填法,使得
均大于第
列上的10个数之和,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deacb2d14b3b685334af74c9eb08e708.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23f3b42cd6069f0e461035e76459ee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aba753aa5e77c45b0d328c036a954a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e72518ba0d330df05786f6c48db9b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77efd8c62dacd2212c3ff5db6b02a5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
解题方法
2 . 等差数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331e95093927765b3b4ef77a9c0591a9.png)
,则
的最大值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acf4c64d3919d2cc0bd0a9953133714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331e95093927765b3b4ef77a9c0591a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afb7577911fa01ca4ad899a97eb7fab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
3 . 设数列
的前
项和为
.若对任意的正整数
,总存在正整数
,使得
,则称
是“
数列”.
(1)若数列
,
,判断
和
是否是“
数列”;
(2)设
是等差数列,其首项
,公差
.若
是“
数列”,求
的值;
(3)证明:对任意的等差数列
,总存在两个“
数列”
和
,使得
成立.
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3693c7c942afef5517a3c18997c878df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e903c3dc6bdb559fd173f8d4e930f78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ff259bff098430a6512d0e4f6fb2d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d8bbb4a09e0ac86bbae46222a90841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(3)证明:对任意的等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a13fcd18316e035cdc08901073672e.png)
您最近一年使用:0次
2023-12-25更新
|
761次组卷
|
4卷引用:上海市松江二中2023-2024学年高二上学期期末考试数学试题
4 . 设数集S满足:①任意
,有
﹔②对任意x,
(x,y可以取相同值),有
或
,则称数集S具有性质P.
(1)判断数集
和
是否具有性质P,并说明理由;
(2)若数集
且
具有性质P.
(i)当
时,判断
是否一定构成等差数列,说明理由;
(ⅱ)若
,数集B中的每个元素均为自然数且
,求数集B中所有元素的和的所有可能值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8647b00cc8c8f35555c7d78cf2812c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c8b2714e2f6ddfdd6b05d3b4de1149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8e5872f45d4b878b0119997cb5bae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84734fbba70c0b45045fabf8090f810b.png)
(1)判断数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e300e8b92758e3f411495dde53d5a904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/802bb7e2a3ad9686147591de5e12392b.png)
(2)若数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ddc189d2c675b0e2ade4f7ed40f66fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93ef80455ed7f56718cc4f1d8b837b30.png)
(i)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac3649308b528fd56545ba102dc42d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec99c57bf7997bd93e1ed8f48d5af9a.png)
(ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ab800bb4666f21dbe05ec239ca39ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06f73eec2bbbfa166f874c39d05accb6.png)
您最近一年使用:0次
5 . 数列
项数为
,我们称
为
的“映射焦点”,如果
满足:①
;
②对于任意
,存在
,满足
,并将最小的
记作
;
(1)若
,判断
时,4是否为映射焦点?5是否为映射焦点?
(2)若
时,
是映射焦点,证明:
的最大值为4;
(3)若
,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bffad48b15100705866ba46290565ad.png)
②对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ce7321fc8327e26061496e71449b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50c30354773ccb897fd2a051d0c54e6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9acd5d5440efe67dfc45065d7d82b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bbbf4d763f3cbe5a71707bc19c78191.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a34da86d1dcf7cf1d87e4e8da8de09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adaa90dd6dde1e37d6caacea95bf6790.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19e8cfd14a88e7b51bf95b9c25ad7d12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d05e0ae98ca9bb7198b3cda1fe8e3ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2223a2a3e8fda348c26169430964949d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b07d62c4025696b4c648db0c3dd67bf.png)
您最近一年使用:0次
6 . 高铁的建设为一个地区的经济发展提供了强大的推进力,也给人们的生活带来极大便捷.以下是2022年开工的雄商高铁线路上某个路段的示意图,其中线段
、
代表山坡,线段
为一段平地.设图中
坡的倾角满足
,
长
长
长
.假设该路段的高铁轨道是水平的(与
平行),且端点
分别与
在同一铅垂线上,每隔
需要建造一个桥墩(不考虑端点
建造桥墩)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/11/c74f6394-8bbb-41cf-9c85-b0607eb123fd.png?resizew=200)
(1)求需要建造的桥墩的个数;
(2)已知高铁轨道的高度为
,设计过程中每
放置一个桥墩,设桥墩高度为
(单位:
),单个桥墩的建造成本为
(单位:万元),求所有桥墩建造成本总和的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e731b605eba332df44bea683c4aee5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27db0d05bd138ad752b4cddc2e3bed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8392f26db20adb474c5e7673036fe3d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d4ef601f9b9db4f7fb5f0b0dd2e0a61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/617b624dd6e80853ea8dda1b5591cdd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bed8f425894336757c6feb514a884fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ae536809b1161fd4e83fdc7f42be96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b4ee159aea403220848b14b8e81dc20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1611d15c7e1e4ab4a4a61537b3989d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/11/c74f6394-8bbb-41cf-9c85-b0607eb123fd.png?resizew=200)
(1)求需要建造的桥墩的个数;
(2)已知高铁轨道的高度为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ec72d07385ed62ec9540083958be2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1611d15c7e1e4ab4a4a61537b3989d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1369d3503abf9bfcbdab0d6a4717017c.png)
您最近一年使用:0次
2023-03-06更新
|
1415次组卷
|
3卷引用:上海市2023届高三模拟数学试题
名校
解题方法
7 . 数列
的前
项和为
,若对任意的正整数
,总存在正整数
,使得
,则称数列
是“
数列”.
(1)数列
的前
项和
,判断数列
是否为“
数列”,并说明理由;
(2)数列
是等差数列,其首项
,公差
,数列
是“
数列”,求
的值;
(3)证明:对任意的等差数列
,总存在两个“
数列”
和
,使得
成立.
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3693c7c942afef5517a3c18997c878df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)数列
![](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/6357e298ae5bca4d511ea9faefc626ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d8bbb4a09e0ac86bbae46222a90841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(3)证明:对任意的等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64b07f0df289c3d949aee523b8281ba9.png)
您最近一年使用:0次
2022-12-25更新
|
411次组卷
|
2卷引用:上海财经大学附属北郊高级中学2023届高三上学期10月月考数学试题
名校
解题方法
8 . 已知数列
满足:①
(
);②当
(
)时,
;当
(
)时,
.记数列
的前
项和为
.
(1)求满足条件的所有
,
,
的值;
(2)若
,求
的最小值;
(3)求证:
的充要条件是
(
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6978c2051e0a7305d2add555ff4646b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e95aa486211d7f810a5eec609a4f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b08c58baacec3cd0c0a06e267fa9ec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f7428a907e1e376d64b44d693f2955f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f496f5660b342973930563ccc1e72755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b08c58baacec3cd0c0a06e267fa9ec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a5945ce5c2114af8c18718ca8dc899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)求满足条件的所有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc858b7a95c5006a44067022da09f667.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a6210ceedb78e4e5974d06b78d23a79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0f924858fdfc9403142fcbce46de32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f7b4c93ca2429e16ab37678fa28c27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
您最近一年使用:0次
名校
解题方法
9 . 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)
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2023-02-08更新
|
538次组卷
|
2卷引用:上海市交通大学附属中学2022届高三上学期期末数学试题
10 . 若数列
满足:对任意的
,只有有限个正整数k使得
成立,记这样的k的个数为
,则得到一个新数列
,例如,若数列
,则数列
是0、1、2、…、
、…,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4a399158566ffb31c198cd6fadc983e.png)
_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b18daa9be42f1a2056250df4504a774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a655a5e5876d813e5cb2609c133f95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84c72d8d3829f1f18e6f88cc66c2299e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80c1ed7b10ac7ca1cd81cdd39a8fcc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84c72d8d3829f1f18e6f88cc66c2299e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aadf9ab510510120699c5eee39ab18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0dd3ce757a2ad080ece0e34424fb05f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4a399158566ffb31c198cd6fadc983e.png)
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