名校
解题方法
1 . 已知数列
的前
项和为
,数列
的前
项积为
,且
.
(1)求
的通项公式;
(2)若不等式
对于任意
恒成立,求实数
的取值范围.
![](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/a595b024075c345ae9212a79f458119c.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/82ea6353a1bff62a8ff5368169c4d1b9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d37b6a8b5c44683cfcc508026683900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2771c5f04582c545e0f9afc8a2cb9597.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-04-15更新
|
209次组卷
|
2卷引用:河南省许昌市鄢陵县第一高级中学2023届高三下学期高考全真模拟押题数学(文)试题
名校
解题方法
2 . 已知数列
满足
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7350cd628909cc2c660a0206573f4799.png)
(1)记
,求出
的值,并证明数列
为等比数列;
(2)若数列
的前2n项和为
,求满足不等式
的n的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7350cd628909cc2c660a0206573f4799.png)
(1)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4188680e5320653753ad0340439cb77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9a0d7150fb24be3e28ef7f0e18be93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb8c686dd9094f36105dadfbc985977.png)
您最近一年使用:0次
2021-12-04更新
|
574次组卷
|
3卷引用:河南省许昌市禹州市高级中学2024届高三上学期12月月考数学试题
名校
解题方法
3 . 在数列
中,
,
;等比数列
的前n项和为
.当
时,使得
恒成立的实数
的最小值是_________ .
![](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/797abbfcefff42b1fa41d7952df0d36b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5442d7293761b6d1ed9434c96af095c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d027e8863b1073c124c1e202dd0a0ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2021-01-24更新
|
594次组卷
|
2卷引用:河南省许昌市2020-2021学年高二上学期期末数学(理)试题
4 . 已知首项为2的正项数列
的前
项和为
,且当
时,
.若
恒成立,则实数
的取值范围为
![](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/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5858757b1101f7598234b1e761e77b3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6e2f1554adf21de062e531b953661a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2018-12-31更新
|
342次组卷
|
2卷引用:【校级联考】河南省许昌、平顶山、汝州市九校联盟2018-2019学年高二上学期第三次联考-数学试题
5 . 已知数列
满足
,若
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cec40535d86633f31129cbde19ebb6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59bc1aca36ee10ac116a7a3c303ff4c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c206f0e21df366200bf3eb8c297b3658.png)
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2017-05-10更新
|
3290次组卷
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9卷引用:河南省禹州市高级中学2020届高三4月月考数学(文)试题
河南省禹州市高级中学2020届高三4月月考数学(文)试题安徽省蚌埠市2017届高三第三次教学质量检查数学(理)试题安徽省蚌埠市2017届高三第三次教学质量检查数学(文)试题江西省赣州市南康区第三中学2021届高三数学(理)期中考试模拟试题(已下线)专题26 数列的通项公式 -2(已下线)专题5 数列 第2讲 数列通项与求和新疆乌鲁木齐地区2023届高三第一次质量监测数学(理)试题(已下线)第6讲 数列的通项公式的11种题型总结(3)(已下线)专题14 数列的通项公式(已知递推式)-1
11-12高三上·河南许昌·期末
名校
6 . 已知数列
的前
项和为
,等差数列
满足
.
(1)分别求数列
的通项公式;
(2)若对任意的
,恒成立,求实数
的取值范围.
![](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/3161c66f5380cb3aed3beef00073bd9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ccccb2cbc0ebba7da8bfddd3b1772a.png)
(1)分别求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/170b9eac31d18bdd41389fba8b8d14c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2016-11-30更新
|
1079次组卷
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5卷引用:2011届河南省许昌市三校高三上学期期末数学理卷
(已下线)2011届河南省许昌市三校高三上学期期末数学理卷(已下线)2013届浙江省东阳市黎明补校高三12月月考文科数学试卷(已下线)2013-2014学年黑龙江省哈师大附中高一下学期期中数学试卷上海市川沙中学2018-2019学年高一第二学期期末数学试题上海市金山中学2016-2017学年高一下学期期末数学试题