1 . 将函数
的零点按照从小到大的顺序排列,得到数列
,其前
项和为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c3cc4ba626cc12074542728cdfb930.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/352d9b76dcf639368fa68cae70149802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
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2 . 假设在某种细菌培养过程中,正常细菌每小时分裂1次(1个正常细菌分裂成2个正常细菌和1个非正常细菌),非正常细菌每小时分裂1次(1个非正常细菌分裂成2个非正常细菌).若1个正常细菌经过14小时的培养,则可分裂成的细菌的个数为______ .
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7日内更新
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237次组卷
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4卷引用:内蒙古名校联盟2024届高三下学期联合质量检测文科数学试题
解题方法
3 . 已知数列
为等差数列,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67bb9405b5d575f38602e4036ef6f87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9f1f763c066c916bae475f51e63026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
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4 . 在等差数列
中,
,则
的前19项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45f4fdc859dbc3c62b5f7006a8fa35a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4429a287b7e5e8c7a32b818d024be0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45f4fdc859dbc3c62b5f7006a8fa35a.png)
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2024-04-23更新
|
574次组卷
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2卷引用:内蒙古自治区呼伦贝尔市2024届高三下学期二模理科数学试题
解题方法
5 . 已知正项数列
满足
(
,且
),
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de19a41401b6fd32d88a782466e585f.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54f11c73a996bcd0aae0275d0c7b7703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28652e52c0b02a343e618935ea625cbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de19a41401b6fd32d88a782466e585f.png)
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6 . 已知等差数列
的前n项和为
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae9ad4e59d7081cf19021423a984bc29.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/b548012a02126c3dd3c40ece1f858185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f35fa103e2d4cfb68dc624dc45608d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae9ad4e59d7081cf19021423a984bc29.png)
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2024-04-17更新
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3卷引用:内蒙古乌海市第十中学2024届高三下学期4月月考文科(一)数学试题
7 . 南宋数学家杨辉在《详解九章算法》和《算法通变本末》中,提出了一些新的垛积公式,所讨论的数列与一般等差数列不同,前后两项之差并不相等,但是逐项差数之差或者高次差相等.对这类高阶等差数列的研究·杨辉之后一般被称为“垛积术”.现有高阶等差数列前几项分别为1,4,8,14,23,36,54,则该数列的第21项为________ .
(注:
)
(注:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ee4f17114ccb24847c7228ae17ba8c.png)
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8 . 大衍数列,来源于《乾坤谱》中对《易传》“大衍之数五十”的推论,主要用于解释中国传统文化中的太极衍生原理.大衍数列中的每一项都代表太极衍生过程中,曾经经历过的两仪数量的总和.大衍数列从第一项起依次为 0,2,4,8,12,18,24,32,40,50,….记大衍数列
的通项公式为
,若
,则数列
的前30项和为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b5e75a9c9d19bae25c92dc48e31588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b7adab471d41ac1b0451f07ab94aa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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2024-03-12更新
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7卷引用:内蒙古部分学校2024届高三下学期一模考试数学(理科)试题
9 . 《孙子算经》中提到“物不知数”问题.如:被3除余2的正整数按照从小到大的顺序排成一列,即
,构成数列
,记数列
的前
项和为
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5202b1b4fededfea4c89719d9c280f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/9ce90681b67a4e78adfa85e605cd031d.png)
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2024-03-07更新
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3卷引用:内蒙古赤峰市2023~2024学年高三上学期1.30模拟文科数学试题
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解题方法
10 . 等差数列
的前
项和为
,
,则
=__________ .
![](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/7d016134e868cdad2396a514966c29d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27182444d3da4003680f07ec299087c.png)
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2024-01-23更新
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656次组卷
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3卷引用:内蒙古自治区赤峰市红山区2023-2024学年高二上学期期末学情监测数学试卷(B)
内蒙古自治区赤峰市红山区2023-2024学年高二上学期期末学情监测数学试卷(B)(已下线)5.2.2等差数列的前n项和(分层练习,7大题型)-2023-2024学年高二数学同步精品课堂(人教B版2019选择性必修第三册)河北省部分示范性高中2024届高三下学期一模数学试题