练习3、设a∈(0,1),b∈(0,1),求证:sqrt(a^2)+b^(2)+sqrt((1-a)^2)+b^(2)+sqrt((1-a)^2)+(1-b)^(2)+sqrt(a^2)+(1-b)^(2)geq2sqrt(2)

练习3、设a∈(0,1),b∈(0,1),求证: $\sqrt{a^{2}+b^{2}}+\sqrt{(1-a)^{2}+b^{2}}+\sqrt{(1-a)^{2}+(1-b)^{2}}+\sqrt{a^{2}+(1-b)^{2}}\geq2\sqrt{2}$

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