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无实根,所以
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.
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科目:高中数学
来源:不详
题型:解答题
设函数
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(1)设
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,
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,证明:

在区间

内存在唯一的零点;
(2)设

,若对任意


,有

,求

的取值范围;
(3)在(1)的条件下,设

是

在

内的零点,判断数列

的增减性。
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科目:高中数学
来源:不详
题型:解答题
已知函数

(1)若函数
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在

上为增函数,求正实数

的取值范围;
(2)当

时,求

在

上的最大值和最小值;
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科目:高中数学
来源:不详
题型:解答题
已知函数

,

,

.
(1)若函数
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在区间

上不是单调函数,试求

的取值范围;
(2)直接写出(不需要给出演算步骤)函数


的单调递增区间;
(3)如果存在

,使函数

,
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在
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处取得最小值,试求

的最大值.
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科目:高中数学
来源:不详
题型:解答题
(本小题满分14分) 设函数

.
(Ⅰ)当

时,求函数

的单调区间和极大值点;
(Ⅱ)已知

,若函数

的图象总在直线

的下方,求

的取值范围;
(Ⅲ)记

为函数

的导函数.若

,试问:在区间

上是否存在

(


)个正数

…

,使得
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成立?请证明你的结论.
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科目:高中数学
来源:不详
题型:解答题
(13分)设函数

(Ⅰ)求

的单调区间;(Ⅱ)求

的值域.
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科目:高中数学
来源:不详
题型:解答题
已知函数

,
(1)求

的单调区间和极值。 (2)求

在

上的最大值和最小值。
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