名校
1 . 已知数列
满足:
(m为正整数),
,若
,则m的所有可能取值之和为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/999ac8c1ef39251e07a7fc54cbf7e26e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc73d432eb681f59489b833a7eab42e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c5c4ac959eb2c4b74afabc9cdd3a6b.png)
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2 . 已知等差数列
的公差与等比数列
的公比相等,且
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414187fca31df508dbf88d7f2bb83662.png)
______ ;若数列
和
的所有项合在一起,从小到大依次排列构成一个数列
,数列
的前
项和为
,则使得
成立的
的最小值为______ .
![](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/684b935a7274130d081bfa7b2b938023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89b8821c758c29c8b02bd79425ecbd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13624221ac7e06fc5ebd48b21ed0de10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414187fca31df508dbf88d7f2bb83662.png)
![](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/57ef6d44448092ebdb9e4a49d866a749.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/055bd850286feebbeac5df481988b1d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2024-03-08更新
|
1234次组卷
|
4卷引用:河北省部分学校联考2024届高三下学期3月模拟(二)数学试题
名校
3 . 已知等比数列
的公比为q,且
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0d99fef1aa4dbcc6dc7b30b7d2c9a9.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca664b1e82da6f50064a76fe118aa80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c3aed8080f03c6fbd5da85238278ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0d99fef1aa4dbcc6dc7b30b7d2c9a9.png)
您最近一年使用:0次
2024-03-02更新
|
290次组卷
|
2卷引用:河北省唐山市2023-2024学年高二上学期期末考试数学试题
4 . 已知
为等比数列,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f04f286f63962393d359510550b055b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/102e44c1e2a15b201bb6386f3ce7dfc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f04f286f63962393d359510550b055b.png)
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2024-02-28更新
|
372次组卷
|
3卷引用:河北省邢台市2023-2024学年高二上学期1月期末数学试题
名校
解题方法
5 . 单调递增的等比数列
的前
项和为
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614306cc3f34bdee4d5d885b79667645.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/77938c3d50a8ce4b9210c554cb2213dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a716a70687e1bb5d8320f7c4a10914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614306cc3f34bdee4d5d885b79667645.png)
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解题方法
6 . 由正整数组成的数对按规律排列如下:
,
.若数对
满足
,则数对
排在第_______ 位.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45a2f06fb0027c961b32cbb1fcf21958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f840afbf1a30a0a775964f4af077ef40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/633c9c159d7c1bd064e82a0574983da0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
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7 . 等差数列
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a944cf5b9342ac78a5c51bd7f6fb120c.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02205ac939ebf4c1ee22905b507aea91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a944cf5b9342ac78a5c51bd7f6fb120c.png)
您最近一年使用:0次
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8 . 在数列
中,
,
,其中
是自然对数的底数,令
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80ab5d085ad4596492d3838a3379403.png)
____________ .
![](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/4c01db705f3dedb49cd8b89ce82a6a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e774010246e510b7b53834434c169bc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80ab5d085ad4596492d3838a3379403.png)
您最近一年使用:0次
2024-02-17更新
|
633次组卷
|
3卷引用:河北省保定市定州市2023-2024学年高二上学期1月期末考试数学试题
名校
解题方法
9 . 设等差数列
的前
项和为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30eb42578f654fb61e826026d2199751.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/aadba464541b15efa2dc833c615f1b2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30eb42578f654fb61e826026d2199751.png)
您最近一年使用:0次
2024-02-17更新
|
401次组卷
|
4卷引用:河北省金科大联考2024届高三上学期1月质量检测数学试题
解题方法
10 . 已知数列
各项均为正数,且首项为1,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcd5367f5c88db960f534311d3476ef5.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d553ac6b63cb9cbf1fe3f8f670f4f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcd5367f5c88db960f534311d3476ef5.png)
您最近一年使用:0次