解關于
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的不等式:
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.
當
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時,不等式的解集為
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或
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;當
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時,不等式的解集為
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且
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;當
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時,不等式的解集為
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或
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.
試題分析:由
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得,
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或
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, ……4分
當
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時,不等式的解集為
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或
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;
當
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時,不等式的解集為
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且

;
當
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時,不等式的解集為
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或
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.……10分
綜上,當

時,不等式的解集為
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或
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;當
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時,不等式的解集為

且

;當

時,不等式的解集為

或

.……12分
點評:易錯題,本題不等式左邊一進行因式分解,解的思路比較明確,主要討論a與-1的大小關系,本題比較典型也常常因討論不全面而失分。
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證明不等式:
(1)(5分)設

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
(2)(5分)已知

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
(3)(5分)已知

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
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
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
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
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