若0
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若0若0若000又tanx=3tany则tan(x-y)=(tanx-tany)/(1+tanx*tany)=2tany/(1+3tany*tany)=2/(1/tany+3tany)又1/tany+
若0 若0
若0
00
又tan x=3tan y
则tan(x-y)=(tanx-tany)/(1+tanx*tany)
=2tany/(1+3tany*tany)
=2/(1/tany+3tany)
又1/tany+3tany≥2/根号3
则tan(x-y)≤根号3/3
则x-y≤π/6
即x-y≤30º