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2,3.33333(這個區間裏x,1/x都大於0可用均值不等式顯然當x=1/x,即x=1是F(x)有最小值F(1)=2;)通過求導判斷單調性,易知其導數為1-1/x^2,顯然在[1/2,1]上是减函數,(1,3]是增函數,比較端點值大小,F(1/2)=2.5F(3)=3.3…
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