解题方法
1 . 已知数列
满足
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7930aa506a6e6a94ceba89591da6e2c2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
2 . 已知数列
满足
,且
,数列
的前
项和为
,若
的最大值仅为
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a28adb3f84bd50b83965e88ead2ed134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/871b143712b15af427647c535c0f2ee5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dbc11f7d077852e228eb15de6627717.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eed39c7d611309b01476c15ab242308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-04-21更新
|
199次组卷
|
2卷引用:山西省吕梁市2022-2023学年高二下学期期中数学试题
解题方法
3 . 2021年暑假期间,河南有一新开发的景区在各大媒体循环播放广告,观众甲首次看到该景区的广告后,不来此景区的概率为
,从第二次看到广告起,若前一次不来此景区,则这次来此景区的概率是
,若前一次来此景区,则这次来此景区的概率是
.记观众甲第n次看到广告后不来此景区的概率为
,若当
时,
恒成立,则M的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b696b79a748797ef1e56fa31ee9a450d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eac97e6740365c85ad857aff85cefbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f726d8d4a9f897734c5d2ecbf01a0433.png)
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解题方法
4 . 已知数列
的前
项和为
,且
,
(
,
为常数).
(1)若
,
,
成等差数列,求
的值;
(2)若
,
,求证:数列
为等比数列,并求数列
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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0d9d9e6d9aacb16795363a9667a816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(1)若
![](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/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4338dd5d6ac02dbb9d5069eb98f436d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac8e1d60f036093acd1e8fb476226b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2022-03-21更新
|
199次组卷
|
2卷引用:山西省部分学校2021-2022学年高二下学期期中数学试题
名校
解题方法
5 . 已知数列
的首项
,函数
有唯一零点,则通项
( )
![](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/291f48ef2354f57efb23140b22e7b472.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-06-20更新
|
410次组卷
|
4卷引用:山西省新高考2023届高三上学期期中数学试题
山西省新高考2023届高三上学期期中数学试题河南省睢县高级中学2021-2022学年高三上学期11月考试数学(理)(清北部)试题(已下线)考点6-3 数列通项与递推公式综合应用(文理)-2023年高考数学一轮复习小题多维练(全国通用)(已下线)专题06 函数与导数常见经典压轴小题归类(练习)-1
名校
6 . 英国著名物理学家牛顿用“作切线”的方法求函数零点时,给出的“牛顿数列”在航空航天中应用广泛,若数列
满足
,则称数列
为牛顿数列.如果函数
,数列
为牛顿数列,设
且
,
,数列
的前
项和为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2e7dc046f15fecf7daad7c2d912fe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc5e21864578393c488455f17094c6f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2e7dc046f15fecf7daad7c2d912fe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6930b08bc9a14f0e3494378503db91c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2e7dc046f15fecf7daad7c2d912fe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500632c4edc6890e6d32340dca9e29cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0998bd7bdcf49633c773084eea9317.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/e6f18f2c2ec67b5e59e4b3d28795d125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc676b4409f30f8da924989c445b3433.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2021-10-27更新
|
1848次组卷
|
7卷引用:山西省怀仁市第一中学2022届高三上学期期中数学(理)试题
山西省怀仁市第一中学2022届高三上学期期中数学(理)试题内蒙古赤峰市宁城县2021-2022学年高三上学期10月考数学(理)试题(已下线)专题29 数列结合其他问题考查更精彩-备战2022年高考数学一轮复习一网打尽之重点难点突破山东省济南外国语学校三箭分校2021-2022学年高三上学期模拟考试数学试题(已下线)专题13 数列的性质必刷小题100题-【千题百练】2022年新高考数学高频考点+题型专项千题百练(新高考适用)(已下线)专题9 牛顿河北省衡水中学2022届高三下学期素养提升五数学试题
解题方法
7 . 已知数列{
}满足a₁=1,
(n≥2,n∈
)
(1)证明
是等比数列,并求
的通项公式;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c455a1448eb16d80186ddbfa8f31de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891d3c5fdf4d8eb207202a0d14e076cb.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84da234b49c200898de092fa0009ec9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da37c5ebe246863d7c181e29d01c80d.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe43e41273c5ed549d250e5123e8953.png)
您最近一年使用:0次
2021-08-17更新
|
1333次组卷
|
2卷引用:山西省晋城市2020-2021学年高二上学期期中数学(文)试题
解题方法
8 . 在数列
中,已知
,
,
,(
)
(1)求数列
,
的通项公式;
(2)设数列
满足
,求
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2438f2272d7b7ab51dbbe587025a553d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b06a665a3caf78ee2f074a0f73de57ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb298f2db5dc57d6fb335388baad975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d5ec9ad92f37e64eccce922ab1b14e.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9221c0c92a526f65533cdc5400767af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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解题方法
9 . 已知数列
的前n项和
,数列
满足
.
(1)求数列
的通项公式;
(2)若数列
满足:
,且
(
),
是数列
的前n项和,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a38122953a83101349f63073eaed02a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4c04f6122fe9a7809acbe97fb7bcee.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e1ee88beaddafb0d0a185c3a8e0dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb04ed1665d0bb065b3d0fa86a3c999.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6828a1cf75f19bb74a0e0490bd65c168.png)
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2020-11-25更新
|
283次组卷
|
2卷引用:山西省太原市2021届高三上学期期中质量监测数学试题
名校
解题方法
10 . 已知数列
的前
项和为
,其中
为常数,若
,则数列
中的项的最小值为__________ .
![](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/ddf99f7d8f7332649f4097de71cdb6f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/658b4cc82124c8e76a12f966499451fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次