已知函數(shù)
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滿足
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,當
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,
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,若在區(qū)間
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內(nèi),函數(shù)
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有三個不同零點,則實數(shù)
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的取值范圍是( )
試題分析:當
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時,則
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,于是
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,故
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,如圖所示,作出函數(shù)
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的圖像,觀察圖像可知:要使函數(shù)
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有三個不同零點,則直線
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應在圖中的兩條虛線之間,于是
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.
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科目:高中數(shù)學
來源:不詳
題型:解答題
已知定義在
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上的函數(shù)
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,如果滿足:對任意
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,存在常數(shù)
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,使得
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成立,則稱
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是
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上的有界函數(shù),其中
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稱為函數(shù)
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的上界.
下面我們來考慮兩個函數(shù):
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,
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.
(Ⅰ)當
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時,求函數(shù)
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在
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上的值域,并判斷函數(shù)
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在
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上是否為有界函數(shù),請說明理由;
(Ⅱ)若
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,函數(shù)
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在
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上的上界是
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,求
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的取值范圍;
(Ⅲ)若函數(shù)
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在
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上是以
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為上界的有界函數(shù), 求實數(shù)

的取值范圍.
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已知函數(shù)
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(其中
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為常數(shù)且

)的圖象經(jīng)過點
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.
(1)求
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的解析式;
(2)若不等式
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在
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
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2的正四棱錐形有蓋容器(如下圖)。設容器高為
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m,蓋子邊長為
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m,
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(1)求
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關于
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的解析式;
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3,則當h為何值時,V最大? 并求出V的最大值(求解本題時,不計容器厚度).
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, 則
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定義映射

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
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
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