名校
1 . 在正项无穷数列
中,若对任意的
,都存在
,使得
,则称
为
阶等比数列.在无穷数列
中,若对任意的
,都存在
,使得
,则称
为
阶等差数列.
(1)若
为1阶等比数列,
,求
的通项公式及前
项和;
(2)若
为
阶等比数列,求证:
为
阶等差数列;
(3)若
既是4阶等比数列,又是5阶等比数列,证明:
是等比数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7905fd422e78a1d22ff6f11950bc5cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d7f4b6e82924087d9fa4523cd509d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7905fd422e78a1d22ff6f11950bc5cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41a08caf919ff9fa62e20d91af57c401.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0831836c71efc1b1ffdb73073da2a2dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc71a2fd8c6b263feea5ff5d6a36121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2024-03-10更新
|
953次组卷
|
4卷引用:山东省德州市第一中学2023-2024学年高二下学期3月月考数学试题
解题方法
2 . 数列
满足
且
,
,
,
构成等差数列.
(1)试求出所有三元实数组(α,β,γ),使得
为等比数列.
(2)若
,求
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f390f47fa5678c9a165c50fb9dec58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be536a2097ded867adac5edebb79906b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75e6820c50fa2aa589de5331d7d5f950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13739ca823d61005798cc3298400c6b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad28237c0f9ca65341101d9d7e73e73e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee766a75ae9ee290e403b42b3569db6.png)
(1)试求出所有三元实数组(α,β,γ),使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee766a75ae9ee290e403b42b3569db6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4623bc660145c6ff98af7b1753d5357a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee766a75ae9ee290e403b42b3569db6.png)
您最近一年使用:0次
3 . 在一个传染病流行的群体中,通常有3类人群:
在一个600人的封闭环境中,设第n天S类,I类,R类人群人数分别为
,
,
.其中第1天
,
,
.为了简化模型,我们约定各类人群每天转化的比例参数恒定:
(1)已知对于传染病A有
,
,
.求
,
;
(2)已知对于传染病B有
,
,
.
(Ⅰ)证明:存在常数p,q,使得
是等比数列;
(Ⅱ)已知防止传染病大规模传播的关键途径至少包含:①控制感染人数;②保护易感人群.请选择一项,通过相关计算说明:实际生活中,相较于传染病A需要投入更大力量防控传染病B.
类别 | 特征 |
S类(Susceptible) | 易感染者,体内缺乏有关抗体,与I类人群接触后易变为I类人群. |
I类(Infectious) | 感染者,可以接触S类人群,并把传染病传染给S类人群;康复后成为R类人群. |
R类(Recovered) | 康复者,自愈或者经治疗后康复且体内存在相关抗体的I类人群;若抗体存在时间有限,可能重新转化为S类人群. |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d72f2cbabcb955a433e99bf0ee8ec020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15526f7c892333030073b85fc3baee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bf71cf37199d1275ecab9bec0854191.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cb9d3dc465add3927c6413c4e67921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b3cf37e52060e71bb710f4a54addeb7.png)
S类→I类占当天S类比例 | I类→R类占当天I类比例 | R类→S类占当天R类比例 |
![]() | ![]() | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b41a1596f5bafd4126cdfa27cab1b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11048760a97aaf9b0e9bb3c1f7d82f65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf09e3b9c967b0910007878ee1ed861e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1a0fd1ad044a9ecfcba672779bd678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15526f7c892333030073b85fc3baee6.png)
(2)已知对于传染病B有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/553db32eb0934af3938b00f1391a62e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7cb43dbf4bfeaa09725d4747b5220d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/162f2427b62ce62e0af1dcf7803df960.png)
(Ⅰ)证明:存在常数p,q,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba455b290aa6f2ebd42f764b532c815.png)
(Ⅱ)已知防止传染病大规模传播的关键途径至少包含:①控制感染人数;②保护易感人群.请选择一项,通过相关计算说明:实际生活中,相较于传染病A需要投入更大力量防控传染病B.
您最近一年使用:0次
4 . 已知正项数列
的前项积为
,且满足
.
(1)求证:数列
为等比数列;
(2)若
,求n的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455e3d1c1bfb0b326c0e320f98e66b4c.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0e7f1421d306e84f98d00b7c8652647.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/198f065fed9980714262cc8aae060bb5.png)
您最近一年使用:0次
2021-12-12更新
|
2559次组卷
|
7卷引用:高二数学下学期期中精选50题(压轴版)2021-2022学年高二数学下学期考试满分全攻略(人教A版2019选修第二册+第三册)
(已下线)高二数学下学期期中精选50题(压轴版)2021-2022学年高二数学下学期考试满分全攻略(人教A版2019选修第二册+第三册)江苏省无锡市2021-2022学年高三上学期期中数学试题(已下线)重难点01 数列-2022年高考数学【热点·重点·难点】专练(新高考专用)(已下线)专题26 数列的通项公式-4江苏省南京市田家炳高级中学2021-2022学年高三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5 构造法安徽省合肥市龙翔高复学校2023-2024学年高三上学期9月月考数学试题
2020高三·上海·专题练习
5 . 设
,
满足递推关系
,初值条件
.令
,即
,令此方程的两个根为
、
,若
,则有
(其中
),若
,则有
(其中
).
证明:如果数列
满足下列条件:已知
的值,且对于
,都有
(其中
、
、
、
均为常数,且
,
,
),那么,可作特征方程
.
(1)当特征方程有两个相同的根
(称作特征根)时,若
,则
,
;若
,则
,
其中
,
.
特别地,当存在
使
时,无穷数列
不存在;
(2)当特征方程有两个相异的根
、
(称作特征根)时,则
,
,其中
,
(其中
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d11afb610afef770a3927d3f43423004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cfb19f0c37a72b33083ae9319f11a74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77320e643bdaf88ba8ae88be8dd4dfea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6bcfdd99dc17c7849095ce1e9f2530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f76bb60e54410f2146349c1b8a62859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f333263260646c494225db8a7476c00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b7f78550b99977a4c5a9600f26936b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e127a8a6258284b9289b2f5ce51b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/114fd36d5f85fc927344a507fee158f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0abd8d57d7deb4c3cb59a2f8bebaa7d1.png)
证明:如果数列
![](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/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3baf2e44c62016d2e519a5ee7c13ec19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/992f1c63efb257ea61c2c2515400ceb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790fd1b4fe3a98055b08bcb9d332f072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c68634f6b6ca282c408e075809c6789b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66c24b5fa851cae6fc9d289412fef919.png)
(1)当特征方程有两个相同的根
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47769ca08edfa79fc200b9f37d197335.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da3ac862051caf821465580fdebc5e1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d3d56df807ed171127cfe53d68c9e59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58d13f3186462f976d4921066cc3783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea90e8ed89e3c43a0bd1cb1a654c81c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
特别地,当存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c55f3b870ec43e1c778b2acd532e718.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390981c620bdce40320fa196cc75f85f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)当特征方程有两个相异的根
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b5dc876d7dcd3c971b36d26668b1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7345f310975ddb40dca94b5135c35dad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1306b4a37f5c966737f4c07c6b40262e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6052302df2bb03ecb01b6713bc7ec291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7129d04a40722e38b656a126c2267575.png)
您最近一年使用:0次
2021-01-07更新
|
750次组卷
|
4卷引用:专题10 数列(难点)-2020-2021学年高二数学下学期期末专项复习(北师大版2019选择性必修第一册、第二册)
(已下线)专题10 数列(难点)-2020-2021学年高二数学下学期期末专项复习(北师大版2019选择性必修第一册、第二册)(已下线)第4章 数列 单元综合检测(难点)(单元培优)-2021-2022学年高二数学课后培优练(苏教版2019选择性必修第一册)(已下线)重难点02 数列(特征根法与不动点法)-2021年高考数学【热点·重点·难点】专练(上海专用)(已下线)专题10 数列通项公式的求法 微点8 不动点法
6 . Fibonacci数列又称黄金分割数列,因为当n趋向于无穷大时,其相邻两项中的前项与后项的比值越来越接近黄金分割数
.已知Fibonacci数列的递推关系式为
.
(1)证明:Fibonacci数列中任意相邻三项不可能成等比数列;
(2)Fibonacci数列{an}的偶数项依次构成一个新数列,记为{bn},证明:{bn+1-H2·bn}为等比数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d956c1c07d2b622af28908b25843f2a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad8ab68a92a52246865da222064b34cf.png)
(1)证明:Fibonacci数列中任意相邻三项不可能成等比数列;
(2)Fibonacci数列{an}的偶数项依次构成一个新数列,记为{bn},证明:{bn+1-H2·bn}为等比数列.
您最近一年使用:0次
7 . 已知数列
和
的前
项和分别为
和
,且
,
,
,其中
为常数.
(1)若
,
.
①求数列
的通项公式;
②求数列
的通项公式.
(2)若
,
.求证:
.
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87ea014220aa658c8baa6e1f43e686a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80ada913267398cc292bb7b69dae4cdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec6fb9e0625b85be3103d317fbb0cca.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfec4233214c3a729c843dee0d186db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2753dc1c83d54044b89e628a7eb247f8.png)
①求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5344eadd4711db34e3f935aedd5fb270.png)
②求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec12a9a60f82467bf7bf834a9a9b1f7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b03536dc607a70a2cc597e739cb345f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01f56a22d95eab351e09da1afb8153bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca788f0dfc8b34681bf6ef19b98ab1.png)
您最近一年使用:0次
2020高二·浙江·专题练习
名校
8 . 已知数列
满足
,点
在直线
上.数列
满足
,
(
且
).
(1)求
的通项公式;
(2)(i)求证:
(
且
);
(ii)求证:
.
![](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/b34501fddc49998ac2b35a61ae2f3bc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74a45290d1a0d7bef4d09f688e3b9f14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd4a08aee671bb8723ce3cc064e7532e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)(i)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38a3dea35c3009d64598fe0b2726d7b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac69e6db1df13ed64756b4f391ae9fac.png)
(ii)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a1f4f4b6d2a4d8312ca7f716f02e094.png)
您最近一年使用:0次
2020-01-05更新
|
720次组卷
|
3卷引用:【新东方】杭州高二数学试卷239_240
名校
9 . 数字
的任意一个排列记作
,设
为所有这样的排列构成的集合.集合
任意整数
都有
,集合
任意整数
都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b9d89f2b4a2e160458b36c8fd270c89.png)
(1)用列举法表示集合
;
(2)求集合
的元素个数;
(3)记集合
的元素个数为
,证明:数列
是等比数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1862403f59a94ecf2d21fe7e19d2aec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c686124767ab3c2b84470b065fcef89b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7bc57de21efd7fa1776a01591d99a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e12df2ae8d3e915feafa1c5c21f2926e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767965df8401842b4d727998d43a4fad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280a824d01ca8de7247b6e2ddd6fffdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e2febfa043de68251b23704c5e420a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b9d89f2b4a2e160458b36c8fd270c89.png)
(1)用列举法表示集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f266dacf74b0a86d671a5a422f848cb9.png)
(2)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c612f58462180705a1acfd433714a4.png)
(3)记集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f5c583c98a1fd516c6ceaa60b55dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次
2020-04-03更新
|
712次组卷
|
4卷引用:北京理工大学附属中学2022-2023学年高二下学期3月月考数学试题
名校
解题方法
10 . 数列
,
,
(
)
(1)是否存在常数
,使得数列
是等比数列,若存在,求出
的值若不存在,说明理由;
(2)设
,证明:当
时,
.
![](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/483bf3858e5dcdb2bcd2532d232aabda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
(1)是否存在常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec6fb9e0625b85be3103d317fbb0cca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1761de3795504d0ec416973430e3458d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec6fb9e0625b85be3103d317fbb0cca.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6308c1c4ae22bd1e02470e067c376e8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0215573641a657fdf1aa67edb4faba2.png)
您最近一年使用:0次