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1 . 某统计数据共有13个样本
,它们依次成公差
的等差数列,若第60百分位数为30,则它们的平均数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5fb222d30c17b68120423c53b7126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d3b18d23d41e5f456dfd6485feed523.png)
A.19 | B.25 | C.21 | D.23 |
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2024-05-11更新
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23-24高二下·全国·课前预习
2 . 等差数列通项公式的变形及推广
(1)
,
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a26b10d182d3b41ff05beea6edfdf18.png)
________ ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69421e5e6e1f03af5335ea0faa077de9.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
________
,且
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65287b4936b1d642651ec534faee79ad.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a26b10d182d3b41ff05beea6edfdf18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69421e5e6e1f03af5335ea0faa077de9.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02ac5b6cc698996f7aac77a0d75d02d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb55a6ac710d45ef73be9d94340f7df.png)
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3 . 参考《九章算术》中“竹九节”问题,提出:一根9节的竹子,自上而下各节的容积成等差数列,最上面3节的容积共3升,最下面3节的容积共6升,则第5节的容积为__________ 升.
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4 . 已知等差数列
中,
,则数列
的公差为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb3b7b13e91e95aef1b809bebbd47126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.4 | B.3 | C.1 | D.![]() |
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2024-01-27更新
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5 . 已知等差数列
的前5项和
,且
,则公差
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82fc2caef06685cc807b97731419c01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dbce38246a284b220c0cba93ad65a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 若数列
为等差数列且
,
,则数列
的通项公式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1928c254cfada1f75a5cd1e34db5a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0232ec48befa61dc6fa11255904eceb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
您最近一年使用:0次
7 . 已知等差数列
的前5项和
,且满足
,则等差数列
的公差为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5032706dd285c22e149c675da465d9ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d6e6df674dbd7a19e7c7c5d9ba71472.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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8 . 等差数列
中,
,
,则
的公差为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2c97f55d9ffac66e05017b38c05b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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9 . 已知等差数列
的前
项和为
,若
,则数列
的公差
( )
![](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/c4ec3419fe4acd1d8f15e1fbd86ed635.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
A.3 | B.2 | C.![]() | D.4 |
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2024-01-17更新
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10 . 在等差数列
中,首项
,公差
,若
,则
等于__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3012337aa392709349731fb1eef5b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/791e129060cdc7bc5324679c0087ab9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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