已知函數(shù)
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,關(guān)于x的方程f(x)=m(m∈R)恰有三個互不相等的實(shí)數(shù)根
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,
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,
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,則
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+
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+
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的取值范圍是_______________.
試題分析:作出函數(shù)
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的圖像,由圖像可知
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大于
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,小于
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,(注當(dāng)
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時,最小值
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,
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,解得
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).本題綜合性強(qiáng),難度大,有一定的探索性,對數(shù)學(xué)思維能力要求較高.像此類題,應(yīng)結(jié)合圖像,綜合考慮.
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