已知點(diǎn)
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、
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的坐標(biāo)滿足不等式組
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,若
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,則
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的
取值范圍是( )
試題分析:作出不等式組
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所表示的可行域如下圖所示,
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假設(shè)點(diǎn)
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為
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上的一點(diǎn),過點(diǎn)
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作直線
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的垂線,需使得垂線與與可行域有公共點(diǎn),結(jié)合圖象知,當(dāng)點(diǎn)
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,
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時(shí),
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在
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方向上的投影最大,此時(shí)
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,且
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取最大值,此時(shí)
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;同理當(dāng)點(diǎn)
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,
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,此時(shí)
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,此時(shí)
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取最小值,
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,故
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的取值范圍是
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,故選D.
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