設(shè)
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>0,若函數(shù)
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=sin
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cos
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在區(qū)間[-
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,
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]上單調(diào)遞增,則
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的范圍是_____________.
試題分析:首先函數(shù)化簡為
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,求它的增區(qū)間,
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,
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,考慮到題設(shè)中
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,因此
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,因此可求出
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,即
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.
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
已知函數(shù)

.
(I)若函數(shù)

為奇函數(shù),求實(shí)數(shù)

的值;
(II)若對(duì)任意的

,都有

成立,求實(shí)數(shù)

的取值范圍.
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
已知
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在區(qū)間

上是增函數(shù).
(1)求實(shí)數(shù)

的值組成的集合
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;
(2)設(shè)關(guān)于
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的方程
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的兩個(gè)非零實(shí)根為
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、
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.試問:是否存在實(shí)數(shù)
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,使得不等式
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對(duì)任意
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及
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恒成立?若存在,求
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的取值范圍;若不存在,請(qǐng)說明理由.
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科目:高中數(shù)學(xué)
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題型:單選題
函數(shù)
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是定義在
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上的增函數(shù),函數(shù)
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的圖象關(guān)于點(diǎn)
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對(duì)稱.若實(shí)數(shù)
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滿足不等式
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,則
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的取值范圍是 ( )
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科目:高中數(shù)學(xué)
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已知函數(shù)

。又?jǐn)?shù)列
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滿足
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
,且
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,則正實(shí)數(shù)
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的取值范圍是( )
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科目:高中數(shù)學(xué)
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已知函數(shù)
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滿足
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當(dāng)
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時(shí),總有
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.若
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則實(shí)數(shù)
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的取值范圍是
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科目:高中數(shù)學(xué)
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設(shè)函數(shù)
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的定義域?yàn)?img src="http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824030204210315.png" style="vertical-align:middle;" />,如果存在正實(shí)數(shù)

,對(duì)于任意

都有
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,且
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恒成立,則稱函數(shù)
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為
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上的“
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型增函數(shù)”。已知函數(shù)
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是定義在
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上的奇函數(shù),且當(dāng)
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時(shí),
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,若
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為
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上的“
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型增函數(shù)”,則實(shí)數(shù)
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的取值范圍是
.
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科目:高中數(shù)學(xué)
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題型:單選題
下列函數(shù)
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中,滿足“對(duì)任意
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,
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(0,
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),當(dāng)
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<
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時(shí),
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>
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的是 ( )
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科目:高中數(shù)學(xué)
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函數(shù)
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的單調(diào)遞減區(qū)間為
.
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