试题分析:
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的对称轴为
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,
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又当
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时
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=
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,
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为增函数
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时
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为减函数
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点评:此题中
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得到对称轴是突破点
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已知函数
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是
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上的增函数,设
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。
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用定义证明:
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是
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上的增函数;(6分)
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证明:如果
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,则
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>0,(6分)
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对
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,定义运算“
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”、“

”为:
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
给出下列各式
①
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,②

,
③
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, ④
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.
其中等式恒成立的是
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科目:高中数学
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(本小题满分15分)定义在

上的奇函数
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,满足
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,又当
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时,

是减函数,求

的取值范围。
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设

,且

,定义在区间
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内的函数

是奇函数.
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
的取值范围;
(2)讨论函数

的单调性并证明.
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
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