設(shè)函數(shù)
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在
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及
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時取得極值.
(Ⅰ)求
a、b的值;
(Ⅱ)當
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時,求函數(shù)
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在區(qū)間
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上的最大值.
①解:
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,
因為函數(shù)
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在
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及
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取得極值,則有
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,

.
即
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解得
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,
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.
②由(Ⅰ)可知,
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,
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.
當
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時,
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;
當
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時,
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;
當

時,

.
所以,當
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時,

取得極大值
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,又
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,

.
則當
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時,

的最大值為
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.
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