1 . (1)在
中,内角A,B,C的对边分别为a,b,c,R表示
的外接圆半径.
①如图,在以O圆心、半径为2的圆O中,
和
是圆O的弦,其中
,
,求弦
的长;
②在
中,若
是钝角,求证:
;
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/6/b88cc3d0-c666-487e-9727-d5d16300cd3f.png?resizew=160)
(2)给定三个正实数a、b、R,其中
,问:a、b、R满足怎样的关系时,以a、b为边长,R为外接圆半径的
不存在、存在一个或存在两个(全等的三角形算作同一个)?在
存在的情况下,用a、b、R表示c.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
①如图,在以O圆心、半径为2的圆O中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83a71cff8e2ed9c2c93ed91a5d48671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e901c430af74f7bbce43364bd4f2e47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
②在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e0c86fd15b7ef641e45e582dd4a58a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/6/b88cc3d0-c666-487e-9727-d5d16300cd3f.png?resizew=160)
(2)给定三个正实数a、b、R,其中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2c659396f6a0f72e213185b1ab2e198.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
您最近一年使用:0次
2020-04-17更新
|
1646次组卷
|
15卷引用:上海市华师大二附中2015-2016学年高一下学期期中数学试题
(已下线)上海市华师大二附中2015-2016学年高一下学期期中数学试题【全国百强校】福建省福州第三中学2017-2018学年高一下学期(实验班)期末考试数学试题上海市曹杨二中2018-2019学年高一下期末数学试题江苏省南通中学2018-2019学年高一下学期期中数学试题江苏省扬州中学2019-2020学年高一下学期6月月考数学试题(已下线)第6章三角(能力提升)-2020-2021学年高一数学下册单元测试定心卷(沪教版2020必修第二册)(已下线)第19讲压轴综合题(讲义)-【教育机构专用】2021年春季高一数学辅导讲义(沪教版2020必修第二册)湖南省怀化市第三中学2020-2021学年高一下学期期中数学试题(已下线)上海期末真题精选50题(大题压轴版)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)(已下线)大题好拿分期中考前必做30题(压轴版)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)(已下线)第20讲 期末复习(练习)提升卷-【教育机构专用】2021年春季高一数学辅导讲义(沪教版2020必修第二册)(已下线)6.4平面向量的应用C卷湖南省长沙市明德中学2021-2022学年高一下学期期中数学试题上海市复旦大学附属中学2022-2023学年高二上学期开学考试数学试题(已下线)第六章 平面向量及其应用(基础、典型、易错、压轴)分类专项训练(3)
解题方法
2 . 规定:对于任意实数
,若存在数列
和实数
,使
,则称
可以表示成
进制形式,简记为:
;如:
,表示
是一个2进制形式的数,且
;
(1)已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dff740b3b15a876e6de4e1a2783bcdf.png)
,试将
表示成
进制的简记形式;
(2)若数列
满足
,
,
,
,
,求证:
;
(3)若常数
满足
且
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db02c520989da5adce55d84410a644b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c5827acadcb93523ae7fa25204ebcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f49fb140af76ff062c908e96e9dab466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69946ed268a024eca1cf522acee6985a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0328bf462207065c2e0eaaba1002ef1.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dff740b3b15a876e6de4e1a2783bcdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aebf62d230cbee1781de6c1d73a7ff6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c7f1ce82982b8385d78e8e77c8f1e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b6d151d3f864bae873987f6db9327a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb701fb5c95b3612e64712d836754860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed6ef8ef7af86ebdca4f34a36989a63.png)
(3)若常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823ab696d27d40920c39b8c910789380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e12b644318c5c276a086a82982b8dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e909ffa98363a211839d0b1338afbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137510e8bcf483cdb40a0592140a800a.png)
您最近一年使用:0次
名校
解题方法
3 . 已知数列
的前
项和为
,对一切正整数
,点
都在函数
的图象上,记
与
的等差中项为
.
(Ⅰ)求数列
的通项公式;
(Ⅱ)若
,求数列
的前
项和
;
(Ⅲ)设集合
,
,等差数列
的任意一项
,其中
是
中的最小数,且
,求
的通项公式.
![](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/528042c027763b53c080104675c204bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/becd598a11b876d858728161a7a09705.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090426eb29836bc30c006b3739c08057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bbbf4d763f3cbe5a71707bc19c78191.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966e9d0e4acb1a4ee439609fff765ba9.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)
(Ⅲ)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f26f04b2318ce0cf6be85a7fd76c67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a092458a52a9fbe036064075f8fb0e07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0665c1943808f985d6b4b1917688f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7936359df4c926b72b48c6fdae55f12d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff91868da489380a5036d40b142c6e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
您最近一年使用:0次
2020-02-18更新
|
678次组卷
|
3卷引用:2015-2016学年广东省石门中学等校高一下期末数学试卷
2015-2016学年广东省石门中学等校高一下期末数学试卷江苏省无锡市天一中学2018-2019学年高一下学期期中数学试题(强化班)(已下线)专题10 数列通项公式的求法 微点10 数列通项公式的求法综合训练
解题方法
4 . 记
,
.设关于实数
的函数
满足:
,则
可取的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328cf8e4759bb78e04aea6f5e3e4ab43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc086863d90e663013046adce71cc9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1fa178a867ab231e841a6941da0391a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc3fe934fc04557f6258fcbaf8abb969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
5 . 将一个数列中部分项按原来的先后次序排列所成的一个新数列称为原数列的一个子数列,如果数列存在成等比数列的子数列,那么称该数列为“弱等比数列”.已知
,设区间
内的三个正整数
,
,
满足:数列
,
,
,
为“弱等比数列”,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e34f42b3be15518c29e3689c9fe6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c72e056edc8ce492ccbaaacaeaa7cb1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8cc0b4997cae4d8aec791a1d3923314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32bd3ea56596730917cd797c963072a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51d60c9e444ef2d7705c3c6bee3efe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e1fbe0fb49725cf6d1e689ee8986d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb59638769faa7d399f622c03ee3674f.png)
您最近一年使用:0次
2020-02-14更新
|
968次组卷
|
2卷引用:上海市宝山区2015-2016学年高二上学期期末教学质量监测数学试题
6 . 在数列
中,
,对任意
,
,
,
成等差数列,其公差为
.
(Ⅰ)若
,证明:
,
,
成等比数列(
)
(Ⅱ)若对任意
,
,
,
成等比数列,其公比为
,
,证明
是等差数列.
![](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/46b6d151d3f864bae873987f6db9327a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7b6ecfdff9d2b29ef64d2a6f3343f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39773a450e3c30c72ead226d84e54563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069c88b849f37a1597cb7e9cdcb1e755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8904e7018ec79c8b0efdcb3ba67cb7cb.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597f7f45c16b0f1f35acbb4528863311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39773a450e3c30c72ead226d84e54563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069c88b849f37a1597cb7e9cdcb1e755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/952162dafce99cb22b05a1e313df53ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b6d151d3f864bae873987f6db9327a.png)
(Ⅱ)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b6d151d3f864bae873987f6db9327a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39773a450e3c30c72ead226d84e54563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069c88b849f37a1597cb7e9cdcb1e755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/952162dafce99cb22b05a1e313df53ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9778f679a2495d92a52b36e5e86d4b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d1e7059a9d5555935ffded7be5f8c9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad1490fc8c90d79ab85d83f98667e177.png)
您最近一年使用:0次
名校
解题方法
7 . 对于数列
,如果存在一个正整数
,使得对任意
,都有
.成立,那么,就把这样的一类数列
称作周期为
的周期数列,
的最小值称作数列
的最小正周期,简称周期:例如:当
时,
是周期为1的周期数列:当
时,
是周期为4的周期数列.
(1)设数列
满足
(
不同时为0),求证:数列
是周期数列,并求数列
前2020项和
;
(2)设数列
前项
和为
,且
;
①若
,试判断
是否为周期数列,并说明理由;
②若
,试判断
是否为周期数列,并说明理由;
(3)设数列
满足
,数列
前
项和为
,试问是否存在
,使对任意
,都有
成立,若存在,求出
的取值范围,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086e9b14c35ef3c57b20f5e952ebf9c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223ed9652852ca4d996fd1f20808df9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/126141b8d68abc6a0823fade2f1b8127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082e8fd18cc10f578020188f254a2455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1572ac23908a3b46c6318aec4386f1c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1165edc23b5782b5942ef7e79130bb94.png)
(1)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f68f289e17b56ff63265e61a977276.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663a61ad241d5d874c9a9362f0ee917c.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/a6f422edb72f7e1d5529a5570feb77df.png)
(2)设数列
![](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/efe0e18ac798a9c97104527230aed898.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f6fa04e7c7d34de6f0c9f3ea6feb08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/022abb9d2a17457017a2374e6a9faeb1.png)
![](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/a550c916c64f621010e604a30ef67566.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5014429b696a37a9461b66f22b1800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a550c916c64f621010e604a30ef67566.png)
您最近一年使用:0次
8 . 已知数列
是等比数列,且
,
,数列
满足:对于任意
,有
.
(1)求数列
的通项公式;
(2)若数列
满足:
,
,设
,当且仅当
时,
取得最大值,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d8e8f821111de8075e5c3dfb22a5d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a135c20407aa59f589f9e2e837fc37b2.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/8ea72f0e6d6599c25850647bdef96ec2.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79560cd442650b675d08e9ca65856685.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37115bee81c499659e8a110f907535b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894079e90dbd238139e7c0a65239a66b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ec5d76db9bd05547932966c9913dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
9 . 已知数列
中,
,
,且其前n项和
满足
(其中
),令
;
(1)求数列
的通项公式;
(2)若
,求证:
,
;
(3)
,求同时满足下列条件的所有a的值;
①对任意的正整数n,都有
;
②对任意的
,均存在
,使得当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1928c254cfada1f75a5cd1e34db5a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a8b7e459d1769b13c79bca8890c959c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216876de04325fd250c38c485cbc34b7.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e37a2adb69dc49bb586de6477a1e36aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b96f4711de10bdb4f6724f0a706f7913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce642b73be99b3c1a8c5dd38ec58eb28.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0438dfd927db90d7f5fcfff89aebfc14.png)
①对任意的正整数n,都有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa33d6f116c61ab89224c1a9886861cd.png)
②对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/763756bfe137b23b3e9bcd9564b7b9ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c55f3b870ec43e1c778b2acd532e718.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591c10d6af25780ba5bfcd82f2cb366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33591caf3f8bec653e47cd9b644ae9c5.png)
您最近一年使用:0次
10 . 已知数列
,
为其前
项的和,满足
.
(1)求数列
的通项公式;
(2)设数列
的前
项和为
,数列
的前
项和为
,求证:当
,
时
;
(3)已知当
,且
时有
,其中
,求满足
的所有
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.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/b6f0f28c4d7360934da7f876a2695b52.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a44cfbb86a4eb76261c00ddc6bff181.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/d09b1397026ef8f4a2762b896e4ba2a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15526f7c892333030073b85fc3baee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26e76b5b7ba14cb838a2412cab235bb.png)
(3)已知当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/831608f09609c37f757f5bfcd01253f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb29441c2acd6cbc81fd061af1274f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/608cda4002a7c87561a248866771dc82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb7ba544e366503789e094747e1ffcac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2020-02-07更新
|
575次组卷
|
2卷引用:2016届上海市闸北区高考二模(理科)数学试题