(本小題滿分共12分)
已知向量
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,
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,其中
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,且
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,
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又函數
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的圖象與直線
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相切,相鄰切點之間的距離為
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.
(Ⅰ)求
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的值
(Ⅱ)設
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是第一象限角,且
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,求
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的值.
解: (Ⅰ)由題意得
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,所以,
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………………………4分
根據題意知,函數
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的最小正周期為

,
又
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,所以
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………………………6分
(Ⅱ)由(Ⅰ)知
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所以
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解得
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………………………8分
因為
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是第一象限角,故

………………………9分
所以,
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………12分
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