名校
解题方法
1 . 已知等差数列
,若
,且
,
,
成等比数列.
(Ⅰ)求数列
的通项公式;
(Ⅱ)若
,设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b50b3927041221a53f19b6a0549d71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be9c9b05fd84ac9256d49a5a553af5.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd231d21b6e06beffecff1bf6c18896e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216876de04325fd250c38c485cbc34b7.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/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2020-04-20更新
|
5057次组卷
|
6卷引用:黑龙江省大庆中学2020-2021学年高二上学期开学考试数学试题
名校
解题方法
2 . 已知
是公差
不为0的等差数列,
,
,
成等比数列,且
.
(1)求数列
的通项公式;
(2)若
,数列
的前
项和为
,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/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcbb6d34180a10805000eb7c2c5c0fc1.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d005409790b3192705a181b2c8e7dfed.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1cb91e89800a81f4d62ed75c3ace24a.png)
您最近一年使用:0次
2020-03-02更新
|
599次组卷
|
2卷引用:西藏拉萨中学2021-2022学年高二上学期第三次月考数学试题
名校
3 . 已知各项均为正数的数列{
}满足
(
N*),且
是
的等差中项.
(I)求数列{
}的通项公式
;
(II)若
,求使
成立的正整数n的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b11103bd6a443922b72a702024373c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b0aafc603ba02b6702e785b00a5013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61d473bfcc52ebc119430335531488a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a826ead2adf4c861699c3db58d151c6.png)
(I)求数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(II)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43befc950bb08161ac8a3ce23e756c3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60441404a57a2ad8001542d08c98c9b7.png)
您最近一年使用:0次
2020-02-08更新
|
802次组卷
|
6卷引用:江西省赣州市十六县(市)十七校2021-2022学年高二上学期期中联考数学(理)试题
名校
4 . 对于数列
,称
(其中
)为数列
的前k项“波动均值”.若对任意的
,都有
,则称数列
为“趋稳数列”.
(1)若数列1,
,2为“趋稳数列”,求
的取值范围;
(2)已知等差数列
的公差为
,且
,其前
项和记为
,试计算:
(
);
(3)若各项均为正数的等比数列
的公比
,求证:
是“趋稳数列”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98816fb04cd9855c376352b915c41b42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d6aaee5e84eb6c6a4f339fe82c20025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d6aaee5e84eb6c6a4f339fe82c20025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca48e93a553f5828b86e09f4d5f1042.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(1)若数列1,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)已知等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/370c1c8c958a7010fa144eb32e23f8d2.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/80f0bf06a83e595c7195e5c3cfd53a39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ea88016f672b8f54901e457cceecca1.png)
(3)若各项均为正数的等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fecd48d65ac4f8197c45231f68e8bce1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
您最近一年使用:0次
2020-02-01更新
|
1848次组卷
|
5卷引用:上海市2021届高三高考数学押题密卷试题07
名校
解题方法
5 . 在①
;②
;③
,这三个条件中任选一个,补充在下面问题中,并解答.
已知等差数列
的公差为
,前n项和为
,等比数列
的公比为q,且
,____________.
(1)求数列
,
的通项公式.
(2)记
,求数列
,的前n项和
.注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08254d9fbf1e1d0e9b2abdb125a9df19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73ace54d12c7cffdc3ef5731f8552b4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9669fd33bea340c00e3337614cd0d54c.png)
已知等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/251299e21f8b20cacaa0a4a851376b97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f9f90ecceda6e7956efa4b4d87a3e5.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c2a5f8ec179b72b201c3c0a670612a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8890769a19ffa101e95d672c4a343d1.png)
您最近一年使用:0次
2020-01-31更新
|
2267次组卷
|
32卷引用:北京市平谷区第五中学2020-2021学年高二下学期第一次月考数学试题
北京市平谷区第五中学2020-2021学年高二下学期第一次月考数学试题河北省邯郸市大名县第一中学2021-2022学年高二上学期第二次月考数学试题山东省泰安市2019-2020学年高二上学期期末数学试题2020届山东济宁市兖州区高三网络模拟考试数学试题(已下线)强化卷02(3月)-冲刺2020高考数学之少丢分题目强化卷(山东专版)(已下线)第7篇——数列-新高考山东专题汇编江苏省镇江市名校2020-2021学年高三上学期10月月考数学试题(已下线)新高考题型:开放性问题《数列》江苏省镇江市扬中市高级中学2020-2021学年高三上学期第一次月考数学试题江苏省扬州大学附属中学东部分校2020-2021学年高二上学期第一次模块学习效果调查数学试题(已下线)专题7.4 数列求和(练)-2021年新高考数学一轮复习讲练测(已下线)专题7.4 数列求和(精练)-2021年新高考数学一轮复习学与练江苏省南通市启东中学2020-2021学年高二上学期第一次月考数学试题江苏省扬州市邗江区公道中学2020-2021学年高二上学期第二次测试数学试题(已下线)专题04 少丢分题目强化卷(第二篇)-备战2021年新高考数学分层强化训练(北京专版)(已下线)专题03 少丢分题目强化卷(第二篇)-备战2021年新高考数学分层强化训练(北京专版)江苏省扬州市邗江区2020-2021学年高二上学期期中数学试题人教A版(2019) 选择性必修第二册 过关斩将 第四章 数列 4.3 等比数列 4.3.2 等比数列的前n项和公式 第2课时 等比数列前n项和的综合运用江苏省盐城市东台中学2020-2021学年高二上学期期中数学试题江苏省2021届镇江一中、镇中高三上学期第一次联考(月考)数学试题江苏省扬州市高邮中学2020-2021学年高二上学期阶段测试(四)数学试题(已下线)专题31数列求和-2022年(新高考)数学高频考点+重点题型(已下线)专题7.4 数列求和(练)- 2022年高考数学一轮复习讲练测(新教材新高考)江苏省镇江市丹阳高级中学2021-2022学年高二(1-16,20班)下学期期初考试数学试题江苏省南京市第一中学2022-2023学年高二上学期1月阶段测试数学试题黑龙江省七台河市勃利县高级中学2022-2023学年高二下学期期中数学试题4.3.2 等比数列的前n项和公式练习(已下线)模块一 专题5《等差数列与等比数列》单元检测篇 A基础卷 期末终极研习室(高二人教A版)人教A版(2019) 选修第二册 数学奇书 第四章 数列 4.3等比数列 4.3.2等比数列的前n项和公式 第2课时 等比数列前n项和的综合应用宁夏回族自治区银川一中2023-2024学年高二上学期期末考试数学试题(已下线)模块一专题1《数列基础、等差数列和等比数列》单元检测篇A基础卷(高二人教B版)(已下线)模块一 专题2《数列基础、等差数列和等比数列》单元检测篇A基础卷(高二北师大版)
6 . 已知数列
的各项均为正数,且
,对于任意的
,均有
,
.
(1)求证:
是等比数列,并求出
的通项公式;
(2)若数列
中去掉
的项后,余下的项组成数列
,求
;
(3)设
,数列
的前
项和为
,是否存在正整数
,使得
、
、
成等比数列,若存在,求出
的值;若不存在,请说明理由.
![](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/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/130caef903e98d12e307f97c5970b4ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98851ec1ca2341b0ba5972b20122a112.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804478b7ffdf453e210334d3d28be804.png)
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca9f124f782685d94f664be0005e61f.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2739d4e88c3dedb057fee4bd223db7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.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/b9f568b0db3e1b5c55d0565bbe16f964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e74be91bfe4bc209da7539dbf9b72c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-01-29更新
|
1826次组卷
|
5卷引用:专题二 数列求和-2020-2021学年高二数学新教材同步课堂精讲练导学案(人教A版2019选择性必修第二册)
(已下线)专题二 数列求和-2020-2021学年高二数学新教材同步课堂精讲练导学案(人教A版2019选择性必修第二册)2017届上海市普陀区高三上学期质量调研(一模)数学试题(已下线)必刷卷08-2020年高考数学必刷试卷(新高考)【学科网名师堂】-《2020年新高考政策解读与配套资源》(已下线)卷08-2020年高考数学冲刺逆袭必备卷(山东、海南专用)【学科网名师堂】(已下线)考点21 求和方法(第2课时)练习-2021年高考数学复习一轮复习笔记
名校
7 . 给定数列
,若数列
中任意(不同)两项之和仍是该数列中的一项,则称该数列是“封闭数列”.
(1)已知数列
的通项公式为
,试判断
是否为封闭数列,并说明理由;
(2)已知数列
满足
且
,设
是该数列
的前
项和,试问:是否存在这样的“封闭数列”
,使得对任意
都有
,且
,若存在,求数列
的首项
的所有取值;若不存在,说明理由;
(3)证明等差数列
成为“封闭数列”的充要条件是:存在整数
,使
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac7f82f00fe6163833431241820687ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d716ccbf4313122355c270fe2e67b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf4000fec5bf94d56935108d72af3c1.png)
![](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/b6a24198bd04c29321ae5dc5a28fe421.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/f1d236a265a6cc0f3d06a0e568ffa907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9bf52f91d72053371b83ea0d713047a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
(3)证明等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87a9ef1f87936695fb681df932efd10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54680219b440350ffc5f1f43b3b78e0.png)
您最近一年使用:0次
2020-01-01更新
|
583次组卷
|
3卷引用:上海市高桥中学2022届高三上学期12月月考数学试题
名校
8 . 设数列
的前
项和为
,若
,则称
是“
数列”.
(1)若
是“
数列”,且
,
,
,
,求
的取值范围;
(2)若
是等差数列,首项为
,公差为
,且
,判断
是否为“
数列”;
(3)设数列
是等比数列,公比为
,若数列
与
都是“
数列”,求
的取值范围.
![](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/55a57859a8e9231b465644db24f57215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8aa3e510f891053e546b003d70eec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55b58f3f154dc5acafe10e3878cacb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0748c346ed88f98e424de8edf278325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a158b3a7a78ef3d72bf1d941a29d489c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(3)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce224c28ca451c4f105dc3b077736cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
您最近一年使用:0次
2019-12-07更新
|
443次组卷
|
6卷引用:上海市延安中学2022届高三上学期期中数学试题
名校
9 . 平面直角坐标系中,
为坐标原点,射线
与
轴正半轴重合,射线
在第一象限,且与
轴正半轴的夹角为
,在
上有点列
,在
上有点
,已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/743a804e62f13bfb5f8d2468b8ad34fa.png)
(1)求点
和
的坐标;
(2)求
的坐标;
(3)求
面积的最大值,并求出此时的
值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b62bd9976b37f0e5919155e5a8c50d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98714eea0de264fed373d73bd93d23c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f138be24bfcc4c58bf8b43244315dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/743a804e62f13bfb5f8d2468b8ad34fa.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b65a3cabd534738ebb98823e5c203c5.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9079438b81a652c5deaf0641d249423a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
10 . (1)在等差数列
和等比数列
中,
,是否存在正整数
,使得数列
的所有项都在数列
中,若存在,求出所有的
,若不存在,说明理由;
(2)已知当
时,有
,根据此信息,若对任意
,都有
,求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf82c1e9501358a78d5dde6f32fd2d8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)已知当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358b212c1a075d80c221c0df5b72c8d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7a1e39dc65e132fa83c02cd0d91168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358b212c1a075d80c221c0df5b72c8d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ef8f0a683e12d585877db46d28933b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e35eeaabd951fb09b2926807da3685b.png)
您最近一年使用:0次