题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050216-58109.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050216-83474.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050217-76250.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050217-39664.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050223-86935.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050223-78288.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050224-30346.gif)
(2)求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050216-58109.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050224-90150.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050224-50806.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050224-31609.gif)
(2)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050225-62493.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050225-54556.gif)
两式相减:
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050225-96684.gif)
∴当
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050225-80100.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050226-37303.gif)
∴数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050216-58109.gif)
解析
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050113-62032.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050113-41142.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050114-10265.gif)
(Ⅰ)求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050114-13753.gif)
(Ⅱ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011050114-35483.gif)
按照这种规律往下排,那么第37个图案应该是 ( )
A.○ | B.□ | C.△ | D.都有可能 |
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045922-54196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045923-10585.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045923-36618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045923-87897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045923-19296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045924-30130.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045924-55251.png)
①若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045924-30130.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045924-15172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045924-30130.png)
②等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045924-30130.png)
③等比数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045924-30130.png)
正确命题的个数是( )
A.0 | B.1 | C.2 | D.3 |
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045851-73046.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045851-96236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045851-38314.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045839-58977.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045839-15431.gif)
如果把上述数组中的括号都去掉会形成一个数列:
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045839-63089.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045839-82620.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045840-10338.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045840-83515.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045840-56057.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011045840-69246.gif)
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