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本題可以結合幾何直觀來解釋,在平面直角坐標系中構建一個梯形,可見F(0)和F(2)分別是梯形的上底和下底,和除以2為梯形中位線,囙此只要證明F(1)短於梯形中位線即可,也就是證明F(X)是凹函數.當X小於1時,F(X)的導數小於…
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