解题方法
1 . 已知正项等比数列
的公比为2,若
,则
的最小值等于________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3efedefcd76038d8192051894503e85f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768f39aec3702caae34591cf637a7b00.png)
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2 . 已知函数
,记等差数列
的前
项和为
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2778e2dadff4d91102e6046bb5def8.png)
_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7171630a8610c1f9362de046d4baae00.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/06ab748baafaf91a25770930894a97fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17712fd88c68decaa76dc5f8bb5b06b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2778e2dadff4d91102e6046bb5def8.png)
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2024-02-18更新
|
119次组卷
|
2卷引用:【名校面对面】2022-2023学年高三大联考(11月)理数试题
名校
解题方法
3 . 已知正项等比数列
的前
项和为
,且
,则公比
的值为________
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a3885dba73b6cc430fb238b5b349efd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
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名校
解题方法
4 . 设正项等比数列
的前
项和为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e4487468ab2823d6dbf7f0ebd2eb38.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/accc42d3d641877c83d8feada9956438.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42e4487468ab2823d6dbf7f0ebd2eb38.png)
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5 . 已知数列
的前
项和为
,若
,则
可能是________ (填序号).
①公差大于0的等差数列;②公差小于0的等差数列;
③公比大于0的等比数列;④公比小于0的等比数列.
![](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/2d8b994b9d62039d7a1f4772bde7412e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
①公差大于0的等差数列;②公差小于0的等差数列;
③公比大于0的等比数列;④公比小于0的等比数列.
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名校
解题方法
6 . 已知等差数列
的前
项和为
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4e70b360f988fdbd92300ab22c4613.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/1cf365a978e7afc667442c9d9677a764.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eef891ea05e8b3fb8bdaacea8cdbf57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4e70b360f988fdbd92300ab22c4613.png)
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2023-11-26更新
|
902次组卷
|
2卷引用:湖南省株洲市第二中学2022届高三下学期第三次月考数学试题
名校
解题方法
7 . 在等比数列
中,
,
是函数
的两个不同极值点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d6a70385455871e9a7b17b2e71a77f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
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2023-11-22更新
|
305次组卷
|
3卷引用:安徽省安庆市第七中学2021-2022学年高二下学期3月阶段性考试数学试题
安徽省安庆市第七中学2021-2022学年高二下学期3月阶段性考试数学试题天津市五区重点校联考2023-2024学年高三上学期期中考试数学试题(已下线)技巧02 填空题的答题技巧(8大核心考点)(讲义)
8 . 在数列
中,
,
,若对于任意的
,
恒成立,则实数
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e38321617930485aed7b188a22f464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fc336b4a83bf6d66c4afcc431597f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde69fee0812fdc64dbbee7e48527b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e510c99b3e01521f0b7ea7cb188b66b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2023-10-11更新
|
2179次组卷
|
20卷引用:安徽省芜湖市南陵中学2021-2022学年高二下学期3月第一次学情调查数学试题
安徽省芜湖市南陵中学2021-2022学年高二下学期3月第一次学情调查数学试题贵州省黔西南州义龙蓝天学校2023届高三上学期第一次月考数学(理)试题河南省南阳市六校2020-2021学年高二上学期第一次联考数学试题(已下线)考点22 数列的综合应用-备战2022年高考数学一轮复习考点帮(浙江专用)(已下线)专题3 数列的综合问题-学会解题之高三数学321训练体系【2022版】甘肃省定西市临洮县临洮中学2023-2024学年高二上学期10月月考数学试题宁夏银川市第二中学2023-2024学年高二上学期月考二数学试卷河南省开封市五县联考2019-2020学年高二上学期期中数学(理)试题(已下线)文科数学-学科网2021年高三3月大联考考后强化卷(新课标Ⅰ卷)(已下线)专题13 数列-备战2021年新高考数学纠错笔记 上海市进才中学2023-2024学年高三上学期期中考试数学试卷山东省临沂市兰陵县第一中学2024届高三上学期教学质量检测模拟考试(11月校际联考)数学试题(已下线)模块二 专题8 复杂的数列递推式的探究 期末终极研习室(高二人教A版)(已下线)专题07 等比数列及其前n项和6种常见考法归类(3)(已下线)4.3等比数列(4)(已下线)专题08 求数列通项17种常见考法归类(4)(已下线)第09讲 第四章 数列 章节验收测评卷(综合卷)-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第二册)(已下线)第4讲:数列中的最值问题【讲】(已下线)专题5-1 等差等比性质综合-2(已下线)专题05:数列不等式问题
9 . 已知数列
的前n项和为
,
,
.令
,则数列
的前n项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2cc1f21cd2a66e2fe6d64d11dddaebf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1d14cae0b93387644996a97ccfd47b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
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2023-09-27更新
|
578次组卷
|
2卷引用:新疆伊犁州伊宁县第三中学2023届高三上学期第三次诊断性理科数学试题
名校
解题方法
10 . 已知数列
满足
,
且
.若对任意
,
,不等式
恒成立,则正整数
的最小值为______ .
![](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/c00472b8a42ec38e09e777095e849722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f347f0643c8013d25ca2d88e87a44a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5d0a73f50b3e4583f1c1b6d6bf0d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9183a3b5eecd5f715c96255db742c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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