题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112520-47051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112520-71497.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112520-47051.png)
(II)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112520-30460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112520-82226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112521-99078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112521-87665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112521-50724.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112521-60343.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112522-86503.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112522-77466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112522-21461.png)
∴数列{
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112522-26517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112522-96755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112522-60061.png)
第二问中,
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112523-92408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112523-86998.png)
进一步得到得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112523-97654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112523-93594.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112524-30081.png)
然后结合公式求解。
解:(I) 解法二、
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112522-77466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112522-21461.png)
∴数列{
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112522-26517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112522-96755.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112522-60061.png)
(II)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112523-92408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112523-86998.png)
由②可得:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112524-45626.png)
③-②,得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112523-97654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112523-93594.png)
又由④可得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112524-39703.png)
⑤-④得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112524-24997.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112524-30081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112524-85324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112525-36024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112525-57403.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112525-47822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112525-93878.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112509-29666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112509-64633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112509-50640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112509-82076.png)
(2) 猜想数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112510-64043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112500-67817.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112500-88923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112500-30673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112501-43378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112501-40603.png)
A.1 | B.2 | C.3 | D.4 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112444-66083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112444-18240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112444-66083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112445-58581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112445-84620.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112420-61367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112420-81615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112420-83204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112421-84433.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112414-80743.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112414-18354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112414-23710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112414-79701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012112414-10529.png)
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