题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035820-32570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-17338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-56264.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-43549.png)
(Ⅰ)请写出的
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-78629.png)
(Ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-78629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-38032.png)
(Ⅲ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035822-23471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035822-58801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035822-14435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-78629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035822-11694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035823-74103.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-78629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-78629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-38032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035823-74103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035823-87663.png)
解析
试题分析:(Ⅰ)先由已知条件写出
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035823-89677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035823-70520.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-78629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-78629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-78629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035823-78051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035824-37774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-78629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-38032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-78629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035822-58801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035822-14435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035822-58801.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035823-74103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035823-74103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035823-74103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035824-60789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035824-76657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035823-74103.png)
试题解析:(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035824-74665.png)
(Ⅱ)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035825-12499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035825-68562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035825-15517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035825-70261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035825-24270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035826-11084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035821-78629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035826-67514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035826-63042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035826-30906.png)
(Ⅲ)解法一:∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035826-80573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035827-34604.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035827-12979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035824-60789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035827-13144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035827-41942.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035828-59243.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035828-46694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035828-20571.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035828-87276.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035828-60165.png)
∴存在
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035829-69373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035829-91712.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035828-59243.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035828-46694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035829-61860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035829-43476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035830-79376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035830-51537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035830-13996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035830-57427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035831-79311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035831-64785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035831-34085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035831-53977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035831-67285.png)
∴当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035832-92647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035823-74103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035832-59494.png)
解法二: ∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035826-80573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035827-34604.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035827-12979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035824-60789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035832-37546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035832-16918.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035832-60579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035832-16918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035832-60579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035833-95061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035833-69961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035833-81485.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035833-75634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035834-94565.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035834-84464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035834-78779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035832-92647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035823-74103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035832-59494.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035804-96411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035804-20480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035804-63665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035804-56685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035805-16404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035804-96411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035805-84421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035805-10318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035804-96411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035805-84421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035805-60333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035806-61126.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035806-15283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035804-96411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035804-20480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035805-60333.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035806-90788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035806-46096.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035807-87677.png)
(Ⅱ)已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035807-56120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035804-96411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035807-58472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035805-60333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035805-60333.png)
(Ⅲ)已知
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035807-28780.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035807-93067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035808-49454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035808-52206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035754-87269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035754-22492.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035754-65144.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-10014.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-83016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-64501.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-10014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-14950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-76292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-10014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-96534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035755-57112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035734-54665.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035734-28671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035735-83513.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035735-73226.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035735-18105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035735-28695.png)
(3)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035735-41651.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035735-24238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035721-74239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035721-97768.png)
(Ⅰ)若函数在区间
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035722-60290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035722-84580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035722-52128.png)
(Ⅱ)如果当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035722-57620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035723-45637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035723-43078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035703-38439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035703-40046.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035703-93039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035703-50855.png)
(Ⅰ)证明:当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035703-49743.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035704-21250.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035704-77067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035704-28290.png)
(Ⅱ)记
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035704-61237.png)
(ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035704-67002.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035705-86188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035705-89140.png)
(ⅱ)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018035705-86273.png)
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