题目
题型:解答题难度:简单来源:不详
已知二次函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064337-19092.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064337-37984.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064337-34342.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064338-98357.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064338-82897.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064338-87604.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064339-48664.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064337-19092.gif)
1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064337-34342.gif)
2)设
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064339-92044.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064339-93801.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064339-11322.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064338-98357.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064339-81886.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064339-85820.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064340-46457.gif)
答案
解:1)由题可设
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064340-67420.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064340-58188.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064337-37984.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064340-39876.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064340-46989.gif)
又由点
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064341-85877.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064337-19092.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064341-50088.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064341-96858.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064341-69354.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064341-88390.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064342-42908.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064342-92123.gif)
2)由1)得
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064342-62515.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064342-92975.gif)
因此使得
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064342-46269.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064340-46457.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064342-46996.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064343-87728.gif)
故满足要求的最小正整数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064340-46457.gif)
解析
核心考点
试题【..(满分12分)已知二次函数的图像经过坐标原点,其导函数为,数列的前项和为,点均在函数的图像上。1)求数列的通项公式;2)设,是数列的前项和,求使得对所有都成】;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/20190819/20190819064335-50263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064335-13442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064336-35913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064332-52138.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064332-71319.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064332-10138.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064333-84353.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064333-81256.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064333-62996.gif)
A.(1,2) | B.(2,+∞) | C.(1) | D.(2) |
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064321-84153.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064321-43377.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064321-50397.gif)
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064321-72469.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064322-16628.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064322-67718.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064322-49653.gif)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064322-16628.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064322-67718.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064322-49653.gif)
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064322-24965.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064322-45049.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064323-52849.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064323-27201.gif)
证明:当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064323-52768.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064323-63822.gif)
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064311-52774.gif)
(Ⅰ)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064311-66239.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064311-39038.gif)
(Ⅱ)在函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064311-66239.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064311-16442.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064311-53122.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064312-77890.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064311-53122.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064312-40017.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064312-47122.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064312-77890.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064309-65287.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819064309-28504.gif)
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