((本小題滿分14分)設(shè)集合
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,
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,
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,若
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,
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,
(1)求實數(shù)
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的取值集合.
(2)求實數(shù)
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的取值集合.
(1)
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(2)
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解:(1)由已知得A={1,2} B=
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由
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,知
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顯見
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當B為單元素集合時,只需
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,此時B={1}滿足題意。
當B為雙元素集合時,只需
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,此時B={1,2}也滿足題意
所以,
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,故
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的取值集合為
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(2)由
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得
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當C是空集時,
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當C為單元素集合時,
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,此時C={
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}或C={
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}
不滿足題意
當C為雙元素集合時,C只能為{1,2},此時
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綜上
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的取值集合為
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