1 . 已知函数
有如下性质:如果常数
,那么该函数在区间
上是减函数,在
上是增函数.
(1)如果函数
(
)的值域为
,求b的值;
(2)研究函数
(常数
)在定义域上的单调性,并说明理由;
(3)对函数
和
(常数
)作出推广,使它们都是你所推广的函数的特例.研究推广后的函数的单调性(只须写出结论,不必证明),并求函数
(n是正整数)在区间
上的最大值和最小值(可利用你的研究结论).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae543122a9a00feb76c84fd2ee6d1369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311f24add812e85cff437a699caa202e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c049415b40b1e5d3ddbd8c6b945c987c.png)
(1)如果函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33063230cfd1e497b93e1b87bc1a154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d875db0083b0b82f8864f1b25f7f7c7.png)
(2)研究函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c845cf8af8bfb0463e9797cc5628b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
(3)对函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae543122a9a00feb76c84fd2ee6d1369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d74fef9c96eb3f55872919e7054f087a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/300f5517aa55c4c832e2008c18f436a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b448fe164c2c2931805e3b3847dcdd75.png)
您最近一年使用:0次
2021-09-25更新
|
1256次组卷
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7卷引用:2006 年普通高等学校招生考试数学(理)试题(上海卷)
真题
名校
2 . 如图,已知曲线
,曲线
,P是平面上一点,若存在过点P的直线与
都有公共点,则称P为“C1—C2型点”.
(1)在正确证明
的左焦点是“C1—C2型点”时,要使用一条过该焦点的直线,试写出一条这样的直线的方程(不要求验证);
(2)设直线
与
有公共点,求证
,进而证明原点不是“C1—C2型点”;
(3)求证:圆
内的点都不是“C1—C2型点”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f63dee0fb484e63eb3a8baebcdf46f1.png)
![](https://img.xkw.com/dksih/QBM/2013/7/18/1571296931315712/1571296936722432/STEM/3ed6c0368dc94e10afd48a28c75e801f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9feabc99f62ee569b460e61526e2e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/30/854d5f50-0404-48a2-ba83-49ad3c2727e1.png?resizew=168)
(1)在正确证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/553288bc51ba6174dab2e0175d2df90a.png)
(3)求证:圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28123e129b6426c9a5f31ad8ec2465b.png)
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2019-01-30更新
|
2080次组卷
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6卷引用:2013年全国普通高等学校招生统一考试理科数学(上海卷)
真题
3 . 在平面直角坐标系
中,对于直线
:
和点
记
若
<0,则称点
被直线
分隔.若曲线C与直线
没有公共点,且曲线C上存在点
被直线
分隔,则称直线
为曲线C的一条分隔线.
⑴求证:点
被直线
分隔;
⑵若直线
是曲线
的分隔线,求实数
的取值范围;
⑶动点M到点
的距离与到
轴的距离之积为1,设点M的轨迹为E,求
的方程,并证明
轴为曲线
的分割线.
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/146bc338f0cb4b9eac729e20a2d84c9d.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/8cc7f97b973d4055babec655488c3dc7.png?resizew=9)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f6e1f67dc15c3cf135a78af95c70fe.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/4798c1132a6e4f51b43cf3f27e5e55d2.png?resizew=132)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55d9dbc16d2f63153fdd7b4e612ebfd7.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/799cdc6ca82444bba6e38ded9e4f05a9.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/0ee6677792774e1f92376a3cc9cdcf04.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/8cc7f97b973d4055babec655488c3dc7.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/8cc7f97b973d4055babec655488c3dc7.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/d6ed1f43183149358b54022127d1376c.png?resizew=44)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/8cc7f97b973d4055babec655488c3dc7.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/8cc7f97b973d4055babec655488c3dc7.png?resizew=9)
⑴求证:点
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/4db3073bd68f40a48ff1be5d04e1149e.png?resizew=137)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/fc8a60b8c323475fafee5e37ae437883.png?resizew=80)
⑵若直线
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/28005b52bdec46a5a73f547fec3b5fca.png?resizew=45)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/c336db074c384094989b4af9e793011f.png?resizew=80)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/1814601f310e4e1d8da6d2739f5a7de5.png?resizew=13)
⑶动点M到点
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/2b948a7ab1d644cdb681998277c3f8b3.png?resizew=56)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/f8696ed58b464e0193e6d72fe9643684.png?resizew=15)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571792460980224/1571792597475328/STEM/f8696ed58b464e0193e6d72fe9643684.png?resizew=15)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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2019-01-30更新
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2068次组卷
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2卷引用:2014年全国普通高等学校招生统一考试理科数学(上海卷)
真题
名校
4 . 若无穷数列
满足:只要
,必有
,则称
具有性质
.
(1)若
具有性质
,且
,
,求
;
(2)若无穷数列
是等差数列,无穷数列
是公比为正数的等比数列,
,
,
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/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e7146186b3a33ea5cbff137f9e3437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c0b488096f27c73fc960e27f3b864a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73bc889cb3a977841028e444d62a4d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e690b25af1cd3e04b784a9f26be3e90e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(2)若无穷数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89d1f32c1605cfdb8e8855051b9f6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c522c1c881528ab6f9708f6bdd4c4db5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1e52d55280e664b707f4e9ef4cb1554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/928be44c53a39c116c715ab72f2f2d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cb2db37e079b735acc41ea3035139e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89d1f32c1605cfdb8e8855051b9f6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d8df5703574ef08007f1eea3cea18e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4611e6b3af6a0f44f9d7a481f0e50d72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89d1f32c1605cfdb8e8855051b9f6ec.png)
您最近一年使用:0次
2016-12-04更新
|
996次组卷
|
16卷引用:2016年全国普通高等学校招生统一考试理科数学(上海卷精编版)
2016年全国普通高等学校招生统一考试理科数学(上海卷精编版)(已下线)2016年全国普通高等学校招生统一考试理科数学(上海卷参考版)上海市复旦大学附属中学2019届高三高考4月模拟试卷数学试题(已下线)重组卷03北京市西城区北师大实验2017届高三上12月月考数学(理)试题北京西城北师大实验2017届高三上12月月考数学(理)试题(已下线)《2018届优等生百日闯关系列》【江苏版】专题二 第五关 以子数列或生成数列为背景的解答题江苏省南通市海安高级中学2019-2020学年高三上学期9月月考数学试题(已下线)专题14 数列综合-五年(2016-2020)高考数学(文)真题分项(已下线)专题14 数列综合-五年(2016-2020)高考数学(理)真题分项(已下线)考点20 数列的综合运用-2021年高考数学三年真题与两年模拟考点分类解读(新高考地区专用)北京市第八中学2021-2022学年高二下学期期中考试数学试题2020年江苏省南通海安市高三学年初学业质量检测数学试题北京市中关村中学2022-2023学年高二下学期期中调研数学试题(已下线)专题21 数列解答题(理科)-2辽宁省沈阳市东北育才学校科学高中部2023-2024学年高二下学期期中考试数学试题
真题
名校
5 . 已知数列
与
满足
,
.
(1)若
,且
,求数列
的通项公式;
(2)设
的第
项是最大项,即
(
),求证:数列
的第
项是最大项;
(3)设
,
(
),求
的取值范围,使得
有最大值
与最小值
,且
.
![](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/c6ece8e9ffa8e174590cb9e0a9fab6e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9f41a0eb95a51bc64caca93cb3dc2cf.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef61f0d996f76193db07159d89dfe09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7e9f86738335a22298559db41037a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b33b7a3717e96535a53c53a847b9e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9f41a0eb95a51bc64caca93cb3dc2cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7e9f86738335a22298559db41037a4.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d54395be36a4e0746b555b3882b107a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fe8f20c9882a52fce09a8fdf97ede9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9f41a0eb95a51bc64caca93cb3dc2cf.png)
![](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/d54cb2decd0d50d4031f7e7b7cb34fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4fd1f05bd7ccb2399dcc3ca96834a55.png)
您最近一年使用:0次
2016-12-03更新
|
3375次组卷
|
8卷引用:2015年全国普通高等学校招生统一考试理科数学(上海卷)
2015年全国普通高等学校招生统一考试理科数学(上海卷)上海市吴淞中学2018-2019学年高三上学期10月月考数学试题沪教版(上海) 高二第一学期 新高考辅导与训练 第7章 数列与数学归纳法 本章复习题沪教版(上海) 高三年级 新高考辅导与训练 第二部分 走近高考 第四章 数列与数学归纳法高考题选(已下线)考向16 数列求和及数列的综合应用-备战2022年高考数学一轮复习考点微专题(上海专用)(已下线)4.3数列的概念与性质(第1课时)(作业)(夯实基础+能力提升)-【教材配套课件+作业】2022-2023学年高二数学精品教学课件(沪教版2020选择性必修第一册)(已下线)考点17 数列的综合运用-备战2022年高考数学(理)一轮复习考点微专题(已下线)专题21 数列解答题(理科)-4
真题
名校
6 . 给定常数
,定义函数
,数列
满足
.
(1)若
,求
及
;
(2)求证:对任意
,;
(3)是否存在
,使得
成等差数列?若存在,求出所有这样的
,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4950cc100c4f08bec9fc33ce6ddedac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69bd34a73127f3483a9d50d2dc1755c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed8613ce827804b9485d8dfc0ca2d563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d043d6b72ab55699dcbb12cfc242b006.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/922de166bb11f7828ca5496015ca97fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(2)求证:对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05ebe11bc5d30b80341cc3be681d58a.png)
(3)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c01bd7853f3d558f5b34c8decb1124.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
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2016-12-02更新
|
2719次组卷
|
7卷引用:2013年全国普通高等学校招生统一考试理科数学(上海卷)
2013年全国普通高等学校招生统一考试理科数学(上海卷)上海市金山中学2016-2017学年高一下学期期末数学试题沪教版(上海) 高二第一学期 新高考辅导与训练 第7章 数列与数学归纳法 7.2(2)等差数列的定义与通项公式的应用沪教版(上海) 高三年级 新高考辅导与训练 第二部分 走近高考 第四章 数列与数学归纳法高考题选(已下线)考向14 等差数列-备战2022年高考数学一轮复习考点微专题(上海专用)(已下线)4.1等差数列及其通项公式(第1课时)(作业)(夯实基础+能力提升)-【教材配套课件+作业】2022-2023学年高二数学精品教学课件(已下线)第08讲 等差、等比数列-2
真题
7 . 对于数集
,其中
,
,定义向量集
. 若对于任意
,存在
,使得
,则称X具有性质P.例如
具有性质P.
(1)若x>2,且
,求x的值;
(2)若X具有性质P,求证:
且当xn>1时,x1=1;
(3)若X具有性质P,且x1=1,x2=q(q为常数),求有穷数列
的通
项公式.
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630479360/STEM/3d715d362827445d973e4c81efd1cd26.png?resizew=147)
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630479360/STEM/f9bd441368eb4fb4b21cb5849b328b3e.png?resizew=129)
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630479360/STEM/2ce7aaf10d8a4f6480ab98d961de4573.png?resizew=37)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86cde9cb6c32a16ccbbc39a822fe1065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eaae85741a85ff6fceaf51d7b7c908c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe6217f5a3a719f6a1ffbd4cb05dbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e442b3e4354982f3f2b8e725b6e43c.png)
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630479360/STEM/a2d346722dcd42c795246331dc9820ec.png?resizew=89)
(1)若x>2,且
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630479360/STEM/61a378803cbe4125a9e3d9580bdb9b0f.png?resizew=76)
(2)若X具有性质P,求证:
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630479360/STEM/0f08770bdad94805a2ae0a771fae431f.png?resizew=35)
(3)若X具有性质P,且x1=1,x2=q(q为常数),求有穷数列
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630479360/STEM/4b7d8470d6bb4740a9bacd99eea9d751.png?resizew=87)
项公式.
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真题
8 . 对于项数为m的有穷数列数集
,记
(k=1,2,…,m),即
为
中的最大值,并称数列
是
的控制数列.如1,3,2,5,5的控制数列是1,3,3,5,5.
(1)若各项均为正整数的数列
的控制数列为2,3,4,5,5,写出所有的
;
(2)设
是
的控制数列,满足
(C为常数,k=1,2,…,m).
求证:
(k=1,2,…,m);
(3)设m=100,常数
.若
,
是
的控制数列,
求
.
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/2b0ff7d0a5534c47a187f63321aa63df.png)
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/c9eb5ef62e064fc6bcaaeaa26ea738e6.png)
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/513040b1110c4e2daef20ec1f1f63ca2.png)
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/e87c0cf6094f41818bc77d67ebc144c6.png)
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/6d972c3ad65a4a2991f16123a016974f.png)
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/2b0ff7d0a5534c47a187f63321aa63df.png)
(1)若各项均为正整数的数列
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/2b0ff7d0a5534c47a187f63321aa63df.png)
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/2b0ff7d0a5534c47a187f63321aa63df.png)
(2)设
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/6d972c3ad65a4a2991f16123a016974f.png)
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/2b0ff7d0a5534c47a187f63321aa63df.png)
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/f24f5e7fcbbd4a86a6d9f51dd5574723.png)
求证:
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/ac5b489281da4a33b5c33dcc232c58b9.png)
(3)设m=100,常数
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/43433998e87d495d8fa11eb84e197878.png)
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/08af965a17a44eb6b854e2ef1415ea8f.png)
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/6d972c3ad65a4a2991f16123a016974f.png)
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/2b0ff7d0a5534c47a187f63321aa63df.png)
求
![](https://img.xkw.com/dksih/QBM/2012/6/14/1570886267199488/1570886272892928/STEM/c6c501a37bc245e8904d034a77b7dcd9.png)
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真题
9 . 已知
是公差为
的等差数列,
是公比为
的等比数列.
(1) 若
,是否存在
,有
说明理由;
(2) 找出所有数列
和
,使对一切
,
,并说明理由;
(3) 若
试确定所有的
,使数列
中存在某个连续
项的和是数列
中的一项,请证明.
![](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/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(1) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ab4ad049f59b28b6f434b5933af5a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e396eb470cb5c41cb751391e3dc1ea5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/523764272014175d85c35e1b85ef3e80.png)
(2) 找出所有数列
![](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/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09fee32e0d09ea30addd230ef4c972a5.png)
(3) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8676c526f1aedf8acba91cb42e21602f.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/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次
2016-11-30更新
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1756次组卷
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3卷引用:2009年普通高等学校招生全国统一考试理科数学(上海卷)
2009年普通高等学校招生全国统一考试理科数学(上海卷)(已下线)考向16 数列求和及数列的综合应用-备战2022年高考数学一轮复习考点微专题(上海专用)沪教版(上海) 高三年级 新高考辅导与训练 第四章 数列与数学归纳法 二、数列的其他问题