题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035930-77570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035931-70766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035931-69132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035931-24616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035931-72245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035932-48579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035932-60188.png)
(Ⅰ)求数列{
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035932-48579.png)
(Ⅱ)在数列
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035932-32474.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035932-44306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035932-68496.png)
(Ⅲ)令函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035933-35740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035933-36145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035933-51042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035933-38022.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035934-99251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035932-68496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035934-95849.png)
解析
试题分析:(Ⅰ)将函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035934-34935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035934-33135.png)
再由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035934-85615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035935-70029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035935-43382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035932-48579.png)
(Ⅱ)求出函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035934-34935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035935-24241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035935-61520.png)
将
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035932-48579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035931-72245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035932-32474.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035936-90381.png)
这是一个二次函数,但n只取正整数,画出图象可以看出当对称轴介于
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035936-72509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035936-82290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035932-44306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035936-99418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035932-68496.png)
(Ⅲ)由题设可得:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035937-25058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035937-61109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035937-78993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035937-79988.png)
又递推公式可知,
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035933-36145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035937-38679.png)
试题解析:(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035938-49759.png)
∴函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035934-34935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035934-33135.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035934-85615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035935-70029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035935-43382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035934-99251.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035938-49121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035938-53295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035935-24241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035938-22004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035938-87700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035935-61520.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035939-13484.png)
依题意,仅当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035939-44478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035936-99418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035939-32007.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035932-68496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035934-95849.png)
(Ⅲ)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035939-71980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035937-25058.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035940-70219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035940-58152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035940-23023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035940-98241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035940-57404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035937-79988.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035941-18873.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035941-33176.png)
核心考点
试题【已知函数的反函数为,设的图象上在点处的切线在y轴上的截距为,数列{}满足: (Ⅰ)求数列{}的通项公式;(Ⅱ)在数列中,仅最小,求的取值范围;(Ⅲ)令函数数列满】;主要考察你对常见函数的导数等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035923-97986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035923-33254.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035924-84955.png)
(1)求实数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035924-87233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035924-60850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035924-98981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035918-55359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035907-34167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035907-13297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035907-59129.png)
(I)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035907-48860.png)
(II)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035907-50541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035907-57725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035907-24923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035907-57725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035907-13297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035854-57725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035854-52384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035854-57725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035854-76661.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035854-93508.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035854-57725.png)
(Ⅱ)记
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035854-57725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035854-35387.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035854-97095.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035855-95926.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035855-30966.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035855-31244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035855-97090.png)
(Ⅲ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035855-32893.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035855-19226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035855-65435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035854-57725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035855-46799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035838-60197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035838-65571.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035838-42788.png)
(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035839-46253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035839-90663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035839-69148.png)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035839-89396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035840-48949.png)
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