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(a+b)(x+y)<2(ax+by)
右-左=ax+by-bx-ay=(a-b)*(x-y)>0
(x-y)/(a-b)+(a-b)/(x-y)=(x-y)^2/(a-b)(x-y)+(a-b)(x-y)/(x-y)^2
满足各项为正
故(x-y)/(a-b)+(a-b)/(x-y)=(x-y)^2/(a-b)(x-y)+(a-b)(x-y)/(x-y)^2>=2√【(x-y)^2/(a-b)(x-y)*(a-b)(x-y)/(x-y)^2】=2
右-左=ax+by-bx-ay=(a-b)*(x-y)>0
(x-y)/(a-b)+(a-b)/(x-y)=(x-y)^2/(a-b)(x-y)+(a-b)(x-y)/(x-y)^2
满足各项为正
故(x-y)/(a-b)+(a-b)/(x-y)=(x-y)^2/(a-b)(x-y)+(a-b)(x-y)/(x-y)^2>=2√【(x-y)^2/(a-b)(x-y)*(a-b)(x-y)/(x-y)^2】=2
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