题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234918-75534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234918-63370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234919-97545.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234919-59702.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234918-75534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234919-20281.png)
(2)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234919-17478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234919-41274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234920-16325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234920-84248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234918-63370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234920-44261.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234920-58954.png)
解析
试题分析:(1)由所给
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234921-37543.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234921-21994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234921-18240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234921-21994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234921-21994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234921-80173.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234920-84248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234922-16111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234920-16325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234922-72494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234922-91860.png)
试题解析:
解:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234922-46219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234923-22090.png)
①-②,得
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234923-16166.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234923-75479.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234923-43727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234924-86598.png)
当n=1时,由①得
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234924-24221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234924-56185.png)
∴数列
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234921-18240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234924-21150.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234925-45741.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234920-58954.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234925-21844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234920-84248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234922-16111.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234920-16325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234925-87761.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234925-92027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234922-16111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234926-87379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234920-16325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234926-51131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234926-89573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234926-47081.png)
③-④,得
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234926-87379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234920-16325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234925-87761.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234927-61413.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234927-97051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234927-78356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234926-47081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234927-67738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234928-81299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234926-47081.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234927-67738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234926-87379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234927-78356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234926-47081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234928-22617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234928-26693.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234920-16325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234922-72494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234922-91860.png)
当n≥2时,
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234920-16325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234928-18843.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234929-34611.png)
∴{
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234920-16325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234920-16325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234929-34933.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234926-87379.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234844-55236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234844-94152.png)
A.80 | B.60 | C.40 | D.20 |
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234613-74911.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234613-96915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234613-29283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234614-12056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234614-37888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234614-25389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234613-74911.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234356-29133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234356-48254.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234356-45278.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234356-76736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234259-43391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234259-63087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234300-74910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234300-72005.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234300-94744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234300-38330.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234259-43391.png)
(2)记
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234300-33027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234300-72005.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234301-89651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234301-89651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234238-48634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234239-70761.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191008/20191008234239-80304.png)
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