(本小題滿分14分)
已知定義在
R上的單調(diào)函數(shù)
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,存在實數(shù)
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,使得對于任意實數(shù)
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總有
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恒成立.(Ⅰ)求
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的值;(Ⅱ)若
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,且對任意正整數(shù)
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,有
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,記
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,
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,比較
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與
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的大小關(guān)系;
(Ⅲ)若不等式
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對任意不小于2的正整數(shù)
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都成立,求
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的取值范圍.
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設(shè)
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為定義在R上的偶函數(shù),當
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時,
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;當
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時,
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的圖像是頂點在
P(3,4),且過點
A(2,2)的拋物線的一部分.
(1)求函數(shù)
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在
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上的解析式;
(2)在下面的直角坐標系中直接畫出函數(shù)

的圖像;
(3)寫出函數(shù)
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的值域.
(4)若
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對
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恒成立,求
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的取值范圍。
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已知f(x)、g(x)是定義在[a,b]上的函數(shù),若對任意

,總有
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,則稱f(x)可被g(x)替代,試判斷函數(shù)
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能否被
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替代,并說明理由.
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
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如圖,設(shè)點
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是單位圓上的一定點,動點
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從點

出發(fā)在圓上按逆時針方向旋轉(zhuǎn)一周,點
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所旋轉(zhuǎn)過的弧
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的長為
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,弦
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的長為
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,則函數(shù)
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的圖像大致是

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的圖像分別對應曲線
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和
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, 則( )
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在區(qū)間
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在區(qū)間
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