题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031506-29862.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031506-57023.png)
解析
试题分析:
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031506-37617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031506-56378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031507-94362.png)
用数学归纳法证明:
① 当n=1时,a1=2+ln1,成立.
② 假设当n=k时等式成立,即ak=2+lnk,
③ 则当n=k+1时,
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031507-32074.png)
由①②知,an=2+lnn.
故答案为:2+lnn.
点评:解题时要注意总结规律合理地进行猜想。
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031420-79259.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031420-73414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031420-30853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031420-14173.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031421-95866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031421-41623.png)
①若等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031329-84454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031340-62812.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031340-71905.png)
②命题:“
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031340-52925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031340-20832.png)
③若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031341-49066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031341-87168.png)
④
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031341-62466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031341-55469.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031342-93810.png)
其中正确的是 。
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031240-34125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031240-57288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031240-34125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031240-26277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031240-60055.png)
⑴ 求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031241-27386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031241-72982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031241-11062.png)
⑵ 令
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031241-45829.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031241-78253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031240-26277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031242-13740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031234-83004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031235-10642.png)
已知等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031043-18923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031043-33174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031044-48010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031043-18923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031044-20898.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031044-33432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031044-41450.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031045-53851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031045-86559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031045-37700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031045-18922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031046-13457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010031046-56804.png)
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