已知函數(shù)
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.
(1)試求
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的值域;
(2)設
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,若對
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,
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,恒
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成立,試求實數(shù)
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的取值范圍
(1)
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(2) 若
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第一問利用
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第二問中若
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,則
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,即當
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時,
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,又由(Ⅰ)知
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若對
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,
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,恒有
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成立,即
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轉化得到。
解:(1)函數(shù)可化為
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,
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……5分
(2) 若
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,則
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,即當
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時,
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,又由(Ⅰ)知
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. …………8分
若對
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,
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,恒有
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成立,即
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,
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,即
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的取值范圍是
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
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
.
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≤
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