1 . 对于数列
,定义“
变换”:
将数列
变换成数列
,其中
,且
,这种“
变换”记作
.继续对数列
进行“
变换”,得到数列
,依此类推,当得到的数列各项均为
时变换结束.
(1)试问
和
经过不断的“
变换”能否结束?若能,请依次写出经过“
变换”得到的各数列;若不能,说明理由;
(2)求
经过有限次“
变换”后能够结束的充要条件;
(3)证明:
一定能经过有限次“
变换”后结束.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e51c9495c65354ec0448d829f8e72e54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21fa50a83b9b61b0949c2dc00bb4fd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ddd6d92bfa4fd435b96a7e9f3eac30b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5f8df110fbf82cbfdce8c1b98a5f3f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3450d41273d61ef5caac77af552e75a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f5c583c98a1fd516c6ceaa60b55dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48691f8572e79dc87850bea05b0b67a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
(1)试问
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c73822d3bbeffb1c4f0b336d19129922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e673d337cb7dcb73efe8f4ff6104a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/960ba5162d3681cc279c3f2f786ed94b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232a4957e93a83aa5f3dd7215b9be594.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
您最近一年使用:0次
2016-12-01更新
|
1564次组卷
|
7卷引用:专题06 拿高分题目强化卷(第三篇)-备战2021年新高考数学分层强化训练(北京专版)
(已下线)专题06 拿高分题目强化卷(第三篇)-备战2021年新高考数学分层强化训练(北京专版)(已下线)卷15-【赢在高考·黄金20卷】备战2021高考数学全真模拟卷(北京专用)(已下线)2012届北京市西城区高三4月第一次模拟考试理科数学(已下线)2012届北京市西城区高三4月第一次模拟考试文科数学北京市第十三中学2020届高三下学期开学测试数学试题北京市第二中学2023届高三校模数学试题北京朝阳区六校联考2024届高三12月阶段性诊断数学试题
名校
2 . 若数列
满足
(
,
为常数),则称数列
为调和数列,已知数列
为调和数列,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c697bf8d59f10fa93f6a535b4ded6e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3100ae0145d424c88cf5cf7c0e394241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43e49b5d5e162b81e9816f9229b8b349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92bc9b46b57545b59276bf125dfaf326.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-08-19更新
|
237次组卷
|
7卷引用:智能测评与辅导[理]-等差数列
3 . 设
为等差数列
的公差,数列
的前
项和
,满足
(
),且
,若实数
(
,
),则称
具有性质
,若
是数列
的前
项和,对任意的
,
都具有性质
,则所有满足条件的
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4be36d1bd6c5e554e54043447e49ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab958eede2dbad749ba70bb230c88fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81d3037e0651797f5e8fc7d93be7659b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b10dcb965b619c7fb5025b5083e0a364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09659bc38dd8ea03bcd91fdfe7907ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/835c74bbb8c61dd2d2f008664a8c8810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf99487d7860d017c0747ff966edfd77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87bd7d18f67e90a7c37fad4252e43c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eded65284816fdf6bf335b0c2a78e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab958eede2dbad749ba70bb230c88fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87841b7c069b5146a97c5b6d422e7fa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf99487d7860d017c0747ff966edfd77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
4 . 给定无穷数列
,若无穷数列
满足:对任意的
,都有
,则称
与
“比较接近”.
(1)设
是首项为1,公比为
的等比数列,
,判断数列
是否与
“比较接近”;
(2)设数列
的前四项为:
,
是一个与
比较接近的数列,记集合
,求
中元素的个数
;
(3)已知
是公差为
的等差数列,若存在数列
满足:
与
较接近,且在
中至少有1009个为正,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6082828ee33fadd79303f3325f6ba53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ceae866aeb99ea6bfb6bf5bcaaf523.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87705bbe11694467723fd3c8a8c3bb9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c531632bf007d9436cf6d914f43afc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b12c0723e71d8be4c7e65c8aabc07818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
您最近一年使用:0次
解题方法
5 . 定义:对于有穷数列
,将数列
中项
后边比
小的项记作
,(若
是
的最后一项,则
),则称数列
是数列
的统计数列.
(1)若数列
为8,3,a,2,4,
的“统计数列”
为4,2,1,0,0.求实数a的取值范围;
(2)若
,其中
,且
不是常值数列,m>2且
,若
,求数列
的统计数列
;
(3)定义在
上的函数
满足
,且对任意的
都有
成立,
,
,设
,记作
的统计数列
,在所有可能的
中,求数列
的最大值.
![](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/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233427826eb2233641fc3a9805f6d206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6510d0816033afa001c130342bb7cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)若数列
![](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/034ba25825c13725931c483aa47c9363.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d4398fb6c1aa991e52d98dc1e0b05c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c52befe3e5a8bf5ba9a8676a0de3eace.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f364bd19eda02fa19a278441b2aa401b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a46db968c9d307a5505bbc546407b3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
(3)定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccf6bdbb5f48bd7ae57018ebf154cad6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c4ac2076c1aac22c6aeea8463f8a93a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65f0ab8bd59941ba3056cc4edcffc9d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/510a1a52d943d712e50abe98f2b8953d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8acac571c064dbcd498a7e84ffaff08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebce3796deaa09862fe1524abe6974c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/960b682f983b053dc9064cf29c97e250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/440afe27e8558f6bf35c8713ce5664b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/960b682f983b053dc9064cf29c97e250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/440afe27e8558f6bf35c8713ce5664b2.png)
您最近一年使用:0次
6 . 设
,
为正整数,一个正整数数列
,
,…,
满足
,对
,定义集合
,数列
,
,…,
中的
(
)是集合
中元素的个数.
(I)若数列
,
,…,
为5,3,3,2,1,1,写出数列
,
,…,
;
(II)若
,
,
,
,…,
为公比为
的等比数列,求
;
(III)对
,定义集合
,令
是集合
中元素的个数.求证:对
,均有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c827decbf8ca42797b3ab43562d8a834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f59d39259c5b099998c3641814be99a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4479e73de0664383ce113b4f01ae4598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f64696f60c533ad95dc7890eb902741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1602c6064af12eed3fd1291f8272d93c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f59d39259c5b099998c3641814be99a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc5c895153932c3e827a464664cef90.png)
(I)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f64696f60c533ad95dc7890eb902741.png)
(II)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/334f8809e0f6e2a995f034b86f6c5501.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/527093b2ec760913d0dccff8a099248b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f64696f60c533ad95dc7890eb902741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/831ed34d8c6d99fdd0b94688ef03bfcb.png)
(III)对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2429b6a233ef2f66677b15bc11a13294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c608fc4965bcc95b7f9d463aa9499b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12161550d951e17f4eb3de58496cd6e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19dd2f5dd5c782fc17b44ad2d68a450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2429b6a233ef2f66677b15bc11a13294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b554bc1451068f8a8d7f2432ef545ff.png)
您最近一年使用:0次
7 . 已知数列
满足
,且
,点
在二次函数
的图象上.
(1)试判断数列
是否为算术平方根递推数列?若是,请说明你的理由;
(2)记
,求证:数列
是等比数列,并求出通项公式
;
(3)在数列
中依据某种顺序从左至右取出其中的项
,…,把这些项重新组成一个新数列
,….若数列
是首项为
、公比为
的无穷等比数列,且数列
各项的和为
,求正整数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/600ddda5beadd05fb0f12d628c96efe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23cd773ecfdd16ab5dfa2e1399001269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92cce4d6a70765a8342178894f6e2bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc78b2e900890d42a2caf610636415b4.png)
(1)试判断数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf2eb461d12fe388d51cc7f31bce02b.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f7c067b1e4c594552b70ea764a749b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1165edc23b5782b5942ef7e79130bb94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a79b9eaa5e7ab7a1e5c512b571914dc8.png)
(3)在数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1165edc23b5782b5942ef7e79130bb94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1c786d9fe63a1516cfe47cac846f39c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731f9e522d4ee0883959b69f348fd0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/078c417ea54a5065c1f72941b9e4b0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e43c7497cd191bca74dc396c9725a254.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ec6560ef6dc40fc680ef87bbd50001c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/078c417ea54a5065c1f72941b9e4b0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39f4d1dfd429890baab33ca1a5a77d3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef3e9eb0c4bd9c899886668229c4c947.png)
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名校
8 . 对于数列
,若存在
,则称数列
分别为数列
的“商数数列”和“余数数列”.已知数列
是等差数列,
是其前
项和,
.
(1)求数列
的通项公式;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de5bed0059d63bcd866d79b024f5daf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3f785503f28f836337100f4e3d57aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/849916b7bae1da483aa3abceae5c106e.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa3875c17763c4bcbd7eebd5c805ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da6c69ace952e0d9c4defd637be494b.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/420c634c5969c5a9aa7185bd53d4781e.png)
您最近一年使用:0次
2017-12-10更新
|
516次组卷
|
3卷引用:专题9 周期数列 微点3 周期数列综合训练
名校
9 . 若数列
的每一项都是数列
中的项,则称
是
的子数列.已知两个无穷数列
、
的各项均为正数,其中
,
是各项和为
的等比数列,且
是
的子数列,则满足条件的数列
的个数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.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/83cf38189d5cbf627d2b82ac0eb76006.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/e63c2ab170e9f9b4a569e2d1f82d4d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
A.0个 | B.1个 | C.2个 | D.无穷多个 |
您最近一年使用:0次
2020-05-08更新
|
207次组卷
|
4卷引用:考向17 数列新定义-备战2022年高考数学一轮复习考点微专题(上海专用)
(已下线)考向17 数列新定义-备战2022年高考数学一轮复习考点微专题(上海专用)2020届上海市松江区高三在线质量评估(4月)数学试题2020届上海市松江区高三下学期高考模拟(4月)数学试题上海市行知中学2020-2021学年高二上学期10月月考数学试题
10 . 若对任意的
且
,总存在
,使得
(
),则称数列
是“T数列”.现有以下四个数列:①
;②
;③
;④
.其中所有“T数列”的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a82caca991a9f313f3d17537fb41be6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b71af6590f0f369c164a054a8b63bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/633ade479e3fbf0d5e931f95471c6216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f06570f9ce914bbb1a81bd60ade4188b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f510ad524c266160a89d9ed100a5ddda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff3cbe02319216fc8677985dd003fc03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8ec29f45e28624133ace854b9ca648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d531a1145c0da903d3407f8f5d45d78.png)
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