数列
中,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ffbfb2502cc0ef8c5e1e60c567df35.png)
__________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b92370a11904b5793e747a75cad03027.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f087c4ce33b0755d7fd9c09e23df7e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ffbfb2502cc0ef8c5e1e60c567df35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b92370a11904b5793e747a75cad03027.png)
2020高三·全国·专题练习 查看更多[2]
更新时间:2020-10-27 20:03:14
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【推荐1】一个正方形被等分成九个相等的小正方形,将中间的一个小正方形挖掉(如图(1));再将剩余的每个小正方形都分成九个相等的小正方形,并将中间的一个小正方形挖掉得图(2);如此继续下去…….设原正方形的边长为1,则第3个图中共挖掉____ 个正方形,第n个图中所有挖掉的正方形的面积和为_____ .
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【推荐2】某校数学课外小组在坐标纸上为学校的一块空地设计植树方案为:第
棵树种植在点
处,其中
,
,当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29df4e79fd368fc95ce4be48f2da7944.png)
表示非负实数
的整数部分,例如
,
.按此方案第
棵树种植点的坐标应为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a9ea0c17c1c1576541f981a202701b.png)
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解题方法
【推荐1】若曲线
在
处的切线斜率为
,则数列
的前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3632b0d41d6670c191f5e80f1651b242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e799b8439c78aa12d4917d8c50135ba7.png)
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【推荐2】已知数列
满足
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134c026cc369350db3202b3a5b563ce7.png)
___________ .
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0ae8af1b4dfc31c317fcbe291d28b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9187d7cf69990125fd70db2db11b396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c3e6d4630558921dedf38f7c289d8e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134c026cc369350db3202b3a5b563ce7.png)
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