题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062029-48852.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062029-33574.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062029-94000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062030-36855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062030-63147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062029-48852.png)
(Ⅰ)、求数列
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062029-94000.png)
(Ⅱ)、设
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062030-81745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062030-62234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062030-32394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062031-22633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062031-26379.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062031-26379.png)
(Ⅱ)满足要求的最小正整数m为10.
解析
(1)设这二次函数f(x)=ax2+bx(a≠0),根据导函数求得f(x)的表达式,再根据点(n,Sn)(n∈N*)均在函数
y=f(x)的图象上,求出an的递推关系式,
(2)把(1)题中an的递推关系式代入bn,根据裂项相消法求得Tn,最后解得使得Tn<
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062031-61564.png)
对所有n∈N*都成立的最小正整数m
核心考点
试题【已知二次函数的图像经过坐标原点,其导函数为,数列的前n项和为,点均在函数的图像上。(Ⅰ)、求数列的通项公式; (Ⅱ)、设,是数列的前n项和,求使得】;主要考察你对一次函数的图象和性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062024-95663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062024-58979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062025-70258.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062025-77385.png)
(1)求实数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062025-19803.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062025-62929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062025-65298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062025-65298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062022-86060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062022-59803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062022-22311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062022-84310.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062023-60520.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062018-20402.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062018-25176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062018-69236.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062015-45368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062016-81814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062016-72455.png)
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