题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045402-84561.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045402-75179.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045402-49033.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045402-20356.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045403-85728.gif)
⑴ 求函数f(x)的解析式;
⑵ 求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045403-45679.gif)
⑶ 设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045403-36743.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045403-90588.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045403-57100.gif)
(3)当n = 1时,x=1,bn最大值为0
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045402-84561.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045404-46733.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045404-30899.gif)
联立①②组成方程组解得两图象的交点坐标为(1,0),(
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045404-21225.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045404-52876.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045403-90588.gif)
⑵由
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045403-85728.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045403-90588.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045404-30899.gif)
得,
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045405-62296.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045405-84479.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045405-37031.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045405-58487.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045405-59268.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045406-39884.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045406-48090.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045406-39884.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045406-51050.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045403-57100.gif)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045406-71143.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045407-95616.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045407-18947.gif)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045407-58001.gif)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045407-44757.gif)
当n = 1时,x=1,bn最大值为0
核心考点
试题【已知定义域为R的二次函数f(x)的最小值为0,且有,直线图象截得的弦长为,数列,⑴ 求函数f(x)的解析式;⑵ 求数列的通项公式;⑶ 设的最值及相应的n.】;主要考察你对等差数列等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045353-84885.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045354-62900.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045354-24699.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045354-51355.gif)
(Ⅰ) 判断并证明函数f(x)的单调性;
(Ⅱ) 设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045354-88333.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045354-18733.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045342-49765.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045342-41344.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045343-83165.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045343-69649.gif)
对任意的实数
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045343-70592.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045343-12986.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045343-87140.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045343-79267.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045344-44288.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045344-31328.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045343-87140.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045344-29713.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045344-87074.gif)
(I)求
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045342-41344.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045343-83165.gif)
(II)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045344-26596.gif)
(III)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045345-12302.gif)
22.已知函数
(x≥4)的反函数为
,数列
满足:a1=1,
,(
N*),数列
,
,
,…,
是首项为1,公比为
的等比数列.
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045333-66606.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045333-35981.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045334-71920.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045323-65428.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045323-35390.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045324-25903.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045324-17970.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045324-62511.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045324-24283.gif)
(I)试问
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045324-62511.gif)
(II)已知数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045324-54889.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045324-39003.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045324-54889.gif)
(III)已知
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045324-55336.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045324-72523.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045325-73028.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045307-11328.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045307-53923.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045307-97336.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045307-51072.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045308-87037.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045308-47094.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045308-27191.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045308-32398.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045307-53923.gif)
(2)已知对任意的正整数
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045308-21025.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045309-81490.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045309-94006.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045309-76446.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045308-21025.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013045309-86249.gif)
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