名校
1 . 已知无穷数列
满足
,其中
表示x,y中最大的数,
表示x,y中最小的数.
(1)当
,
时,写出
的所有可能值;
(2)若数列
中的项存在最大值,证明:0为数列
中的项;
(3)若
,是否存在正实数M,使得对任意的正整数n,都有
?如果存在,写出一个满足条件的M;如果不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ba6d5fdf4c491c1332483be3cfab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37f161c1dd788025cef9910858df7a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c03a27be8ae82e24b86cc52a92204c28.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2a65d8762e567f485f39f81564b593a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5612ce06759d0f77ca029d10083f7d1e.png)
您最近一年使用:0次
2023-05-05更新
|
3790次组卷
|
19卷引用:北京卷专题18数列(解答题)
北京卷专题18数列(解答题)北京市朝阳区2023届高三二模数学试题北京一零一中学2024届高三上学期统考一数学试题北京市景山学校2024届高三上学期10月月考数学试题(已下线)北京市第四中学2024届高三上学期10月月考数学试题(已下线)北京市第四中学2024届高三上学期10月月考数学试题变式题16-21北京市东城区东直门中学2024届高三上学期期中数学试题(已下线)专题01 条件开放型【练】【北京版】(已下线)【一题多变】取大取小 分类讨论(已下线)数列新定义北京市第二中学2023-2024学年高三下学期开学考试数学试卷(已下线)(新高考新结构)2024年高考数学模拟卷(二)北京市顺义区第九中学2023-2024学年高三下学期3月月考数学试题北京市海淀实验中学2024届高三上学期10月月考数学试题2024年全国普通高中九省联考仿真模拟数学试题(二)(已下线)高三数学开学摸底考02(新考法,新高考七省地区专用)广东省2024届高三数学新改革适应性训练二(九省联考题型)上海市杨浦区复旦大学附属中学2024届高三下学期3月月考数学试题广东省云浮市云安区云安中学2024届高三下学期3月模拟考试数学试题
名校
解题方法
2 . 记
,为数列
的前n项和,已知
,
.
(1)求
,并证明
是等差数列;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95240946e433fafd9e063827c0a6c7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e6f19b84484b5480ea2100165abfd81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa0dc13236eaa2bd0cdc0f24beea11fe.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2023-02-17更新
|
7534次组卷
|
10卷引用:预测卷02(新高考卷)
3 . 数列
满足:
或
.对任意
,都存在
,使得
,其中
且两两不相等.
(1)若
,写出下列三个数列中所有符合题目条件的数列的序号;
①
;②
;③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6682443f327ff60ddf3e91cbe7821d99.png)
(2)记
.若
,证明:
;
(3)若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32034ab9eaa06e450e27d87e999ea9e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bad657749a0e222333076c72bf949970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fdb0c5b7a3e183c714fad838d246d29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c639c7e5f1e7e7ee5d5ee2f30b155bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b056a90a2751f04ba5fff3dc5c1d0674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86c4d0383577207858e39b4b19b0853e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454cc6ac47d35ebc2b34af6a8047a44e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5305ea58d22efe7136d404b1d44634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e44f2f5b6cab3a33e24de2502ac0c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6682443f327ff60ddf3e91cbe7821d99.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6559598727fb120a5cdbf4f15510615d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/743b4f6fde34464397b010cb45eabb7d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662276a5012893d881e7d1d882b5ea4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2022-05-29更新
|
536次组卷
|
9卷引用:北京卷专题18数列(解答题)
名校
解题方法
4 . 已知函数
,其中
,定义数列
如下:
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)当
时,求
的值;
(2)是否存在实数m,使
构成公差不为0的等差数列?若存在,请求出实数m的值;若不存在,请说明理由;
(3)求证:当
时,总能找到
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dca111ffec29e2d76efc0afe050fdf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725a89d93c791f7a0098f4964587905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bae03ee4ac75dacfb026290e4207dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cfb19f0c37a72b33083ae9319f11a74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed529240a883f68f0921e818addeb9c8.png)
(2)是否存在实数m,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed529240a883f68f0921e818addeb9c8.png)
(3)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49fe8282fb8035a439eede627d50af5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e36bff57bcfa86432b340e25e51d42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bc6b71532178cafa4fd3c897cea62c.png)
您最近一年使用:0次
2021-05-29更新
|
704次组卷
|
4卷引用:北京卷专题18数列(解答题)
北京卷专题18数列(解答题)北京市中央民族大学附属中学2021届高三三模数学试题(已下线)专题7.5 数列的综合应用(讲)- 2022年高考数学一轮复习讲练测(新教材新高考)(已下线)押全国卷(理科)第17题 解三角形与数列-备战2022年高考数学(理)临考题号押题(全国卷)
5 . 已知数列
的前
项和为
.
(1)求
的通项公式;
(2)若数列
满足
,求数列
的前
项和
;
(3)若数列
满足
,求证:
.
![](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/7332ed5ad57fbdf8869176943b6d6275.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84555ac5b03299e220e5ee823a4c3486.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26db6f419ea5e600d0913c103dcbbb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/015221d24ded0923094d54cf77450bac.png)
您最近一年使用:0次
2021-05-19更新
|
1374次组卷
|
5卷引用:专题7.22 数列大题(证明不等式2)-2022届高三数学一轮复习精讲精练
(已下线)专题7.22 数列大题(证明不等式2)-2022届高三数学一轮复习精讲精练(已下线)专题6.数列与数学归纳法 -《2022届复习必备-2021届浙江省高考冲刺数学试卷分项解析》浙江省金华市义乌市2021届高三下学期适应性考试数学试题江西省鹰潭市贵溪市第一中学2022-2023学年高二下学期期中考试数学试题(已下线)模块四专题2重组综合练(江西)(8+3+3+5模式)(北师大版高二)
解题方法
6 . 若无穷数列
满足:只要
,必有
,则称
具有性质
.
(1)若
具有性质
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8009720d2373e22214d666653b19dd32.png)
,求
;
(2)若无穷数列
是等差数列,无穷数列
是等比数列,
,
,
.判断
是否具有性质
,并说明理由;
(3)设
是无穷数列,已知
.求证:“对任意
都具有性质
”的充要条件为“
是常数列”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89ca8ba2854f01dd208c38bbf68b22ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c0b488096f27c73fc960e27f3b864a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8009720d2373e22214d666653b19dd32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26eab8fdd970544217744bc6dde4ed56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(2)若无穷数列
![](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/438a8cdd7e928a64b38461035c02c614.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3f0f2ede5ab34f6aa68d4fe6681bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cb2db37e079b735acc41ea3035139e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf3c4a72fe0c64ed27efe0e853a1287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c724f54bb6fc75013faa21db5c8ea4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
您最近一年使用:0次
2020-01-28更新
|
375次组卷
|
3卷引用:专题09 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)
7 . 已知项数为
的数列
满足如下条件:①
;②
若数列
满足
其中
则称
为
的“伴随数列”.
(I)数列
是否存在“伴随数列”,若存在,写出其“伴随数列”;若不存在,请说明理由;
(II)若
为
的“伴随数列”,证明:
;
(III)已知数列
存在“伴随数列”
且
求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/111015a6c16cda1e5d3966b313511746.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35cec7b3ee327046de9908763c2bf023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fe0a2886c9ceb7b7438191431832ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/733b780de1cef29b1cf2b9895eb2c13f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c34bc2839f6f4d185c8f8048a70e837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(I)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da997a3efc3d0775e7f3d77e0427f22.png)
(II)若
![](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/1a6c152e6d1beb0d48feb018340f2833.png)
(III)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b897ca3d600797fdc944b06bb5f4603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c0190ca73287c6044968747216345c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-05-28更新
|
917次组卷
|
8卷引用:专题21 数列的综合应用-2020年高考数学母题题源解密(北京专版)
(已下线)专题21 数列的综合应用-2020年高考数学母题题源解密(北京专版)2020届北京市通州区高三第一学期期末考试数学试题2020届北京市平谷区高三第二次模拟考试数学试题北京市平谷区2020届高三第二学期阶段性测试(二模)数学试题(已下线)数学-6月大数据精选模拟卷05(上海卷)(满分冲刺篇)(已下线)北京市第四中学2021届高三下学期开学考试数学试题北京市陈经纶中学2020届高三下学期开学考试数学试题北京市第三十五中学2024届高三上学期10月月考数学试题
名校
8 . 若无穷数列
满足:
是正实数,当
时,
,则称
是“Y﹣数列”.
(Ⅰ)若
是“Y﹣数列”且
,写出
的所有可能值;
(Ⅱ)设
是“Y﹣数列”,证明:
是等差数列当且仅当
单调递减;
是等比数列当且仅当
单调递增;
(Ⅲ)若
是“Y﹣数列”且是周期数列(即存在正整数T,使得对任意正整数n,都有
),求集合
的元素个数的所有可能值的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734c7aadf48a9b3405c2028d49a285c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅰ)若
![](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/daf464629fa321a6ff7401ab79f07083.png)
(Ⅱ)设
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅲ)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b34e4ee11d8f0fa8efc2260f3c6cd795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/015fdbdd05f9feda626db9c9ac066eb3.png)
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2020-07-25更新
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890次组卷
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5卷引用:专题21 数列的综合应用-2020年高考数学母题题源解密(北京专版)
(已下线)专题21 数列的综合应用-2020年高考数学母题题源解密(北京专版)(已下线)卷03-【赢在高考·黄金20卷】备战2021高考数学全真模拟卷(北京专用)2019届北京市中国人民大学附属中学高三考前热身练习数学(理)试题北京市人大附中2020届高三(6月份)高考数学考前热身试题北京十一学校2022届高三10月月考数学试题
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9 . 已知无穷数列{an}(an∈Z)的前n项和为Sn,记S1,S2,…,Sn中奇数的个数为bn.
(1)若an=n,请写出数列{bn}的前5项;
(2)求证:“a1为奇数,ai(i=2,3,4,…)为偶数”是“数列{bn}是单调递增数列”的充分不必要条件;
(3)若ai=bi,i=1,2,3,…,求数列{an}的通项公式.
(1)若an=n,请写出数列{bn}的前5项;
(2)求证:“a1为奇数,ai(i=2,3,4,…)为偶数”是“数列{bn}是单调递增数列”的充分不必要条件;
(3)若ai=bi,i=1,2,3,…,求数列{an}的通项公式.
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2019-12-02更新
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1367次组卷
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6卷引用:北京市城六区2018届高三一模理科数学解答题分类汇编之压轴创新题
北京市城六区2018届高三一模理科数学解答题分类汇编之压轴创新题北京市丰台区2018年高三年级一模数学试题(理)北京市西城区北京师范大学附中2019-2020学年高二上学期期中数学试题(已下线)专题10 数列通项公式的求法 微点1 观察法(不完全归纳法)、公式法上海市育才中学2018-2019学年高三下学期三模数学试卷2018年上海市建平中学高考三模数学试题
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10 . 已知
是由非负整数组成的无穷数列,对每一个正整数
,该数列前
项的最大值记为
,第
项之后各项
的最小值记为
,记
.
(1)若数列
的通项公式为
,求数列
的通项公式;
(2)证明:“数列
单调递增”是“
”的充要条件;
(3)若
对任意
恒成立,证明:数列
的通项公式为
.
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64665ad62060a70f3b8ac82d734fd677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f5c583c98a1fd516c6ceaa60b55dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8c4312e4b482794178f8b34e61a1302.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6d1e9760ab82a085875ea169aaa98e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
(2)证明:“数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/730ec44e39f96354d8e9c04aa39ab1df.png)
(3)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31bd42f8e3f220a7b1c6f6945e73bc10.png)
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2019-12-02更新
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3卷引用:专题05 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05 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)北京市海淀区清华大学附属中学2019-2020学年高二上学期期中数学试题2020届北京市清华大学附属中学高三第一学期(12月)月考数学试题