题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080804-58181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080805-95598.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080804-58181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080805-22376.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080805-25948.png)
解析
试题分析:因为
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080805-95598.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080805-13334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080805-58252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080806-73806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080806-56821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080806-54516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080806-53100.png)
……,
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080806-49337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080807-18119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080807-23374.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080805-13334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080805-58252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080807-36477.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080806-54516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080806-53100.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080808-51392.png)
……
由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080806-49337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080807-18119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080808-66431.png)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080808-96811.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080805-13334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080806-73806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080806-54516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080806-49337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080807-23374.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080808-67347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080809-12839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080809-60300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080809-70426.png)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080809-90831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080809-93830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080810-70698.png)
因此
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080810-24925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080810-59613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080811-82704.png)
点评:解决此题的理解数列的概念,通过递推公式发现项与项之间的关系,并能准确计算,难度较大,本题也可以利用递推公式把每一项表示为与通项的关系,然后每四项求和再相加求解,总之不论哪种办法都需要较高的运算能力和归纳能力。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080749-36332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080750-48309.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080750-93653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080750-12840.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080749-36332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080750-48309.png)
(Ⅱ)记
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080750-20232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080750-45745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080751-73607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080750-45745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080743-73521.png)
A.22 | B.18 | C.20 | D.13 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080735-13737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080735-20218.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080735-13737.png)
(Ⅱ)调整数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080735-13737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080736-82539.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080736-58566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080736-58566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080736-17916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080723-42801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080724-70904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080724-49980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080724-65077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080724-62580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080725-44437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080725-34027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080725-74507.png)
(Ⅰ)求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080723-42801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080723-42801.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080725-93593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080725-11451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080724-65077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080726-52363.png)
(Ⅲ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080726-18578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080726-39888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080725-74507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080726-39888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080725-74507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080726-51257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080719-87887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080719-72395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012080719-91088.png)
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