数列
满足
,前16项和为540,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9bbe98100c8067ff36ac536d043a85.png)
__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433d897335896d51a583022fde77de1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9bbe98100c8067ff36ac536d043a85.png)
2022高三·全国·专题练习 查看更多[8]
(已下线)专题26 数列的通项公式-4(已下线)第04讲 数列求和(练)(已下线)求数列的通项公式河南省新乡市第十一中学2020-2021学年高二下学期第二次月考文科数学试题(已下线)专题06 数列求和-2022-2023学年高二数学新教材同步配套教学讲义(苏教版2019选择性必修第一册)(已下线)拓展一:数列递推与通项公式归类(3)(已下线)第04讲 数列的通项公式(十六大题型)(讲义)-3(已下线)专题08 求数列通项17种常见考法归类(3)
更新时间:2022-07-28 15:37:31
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名校
解题方法
【推荐1】已知数列
满足:
,
,记数列
的前
项和为
,若对所有满足条件的列数
,
的最大值为
,最小值为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d06ad126eef8c33fdcd8a55107fe7d.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/559c1f3a1960160a74d45629b3bd6974.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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3cf6f2bbe20a404fea41a4d2b1c4c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d06ad126eef8c33fdcd8a55107fe7d.png)
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【推荐2】已知数列
的前
项和为
,
,且对任意的
,都有
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fbdd2e3efbef1ff014df55b242eced.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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34f555ec0f501d5575e5d18f04f035a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fbdd2e3efbef1ff014df55b242eced.png)
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填空题-双空题
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【推荐1】十九世纪法国数学家洛卡斯提出数列
:2,1,3,4,7,…,称之为洛卡斯数列,且满足
,
,
(
),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e60fae499371b1a4de8ef6589276e4d.png)
________ ;记
为数列
的前n项和,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9e39f11663f4782fa114189a7adf99.png)
________ .(以含字母
的代数式表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ab233fde57c65ad8591abac0f6a370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07ea0943c8abc65344516556368c4eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2668f7b980ccb696a267aea3500edcb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9502518f150ee114ffb851b680078069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e60fae499371b1a4de8ef6589276e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ab233fde57c65ad8591abac0f6a370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba6310798cd58e044092647af723689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9e39f11663f4782fa114189a7adf99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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【推荐2】给出以下
个命题,其中所有正确结论的序号是________
(1)当
为任意实数时,直线
恒过定点
,则焦点在
轴上且过点
的抛物线的标准方程是
.
(2)若直线
与直线
垂直,则实数
;
(3)已知数列
对于任意
,有
,若
,则
;
(4)对于一切实数
, 令
为不大于
的最大整数,例如:
,则函数
称为高斯函数或取整函数,若
,
为数列
的前
项和,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d44458e3609bb017d0d25b9514c9b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48768ee82086f8e06a69e2a17e696b1b.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80434b317d192a70825c7ed853528f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bc28b18bbcf1d1409f24f803d11250a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
(3)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/765f8933b46c0fbcc19a436cb74e0b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2810a7bc4b4d2608fbed9f4f7a80e4e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca95a7a258907b1028f3e281d92fedc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b5452b0757238b4ee04b349ed1c682.png)
(4)对于一切实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e76815359f64acf010be8048cde945.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1550a97c21c1d71c9e95dde569668be0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a65f4060690e6adfded284ad1f820e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.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/4772c5eb9272984c457039dd00ced9fd.png)
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