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As shown above, in △ABC\triangle ABC△ABC, AB=BC=2AB=BC=2AB=BC=2, ∠ABC=2π3\angle ABC = \dfrac{2\pi}{3}∠ABC=32π.
If PPP is outside plane ABCABCABC and point DDD is on segment ACACAC, so that PD=DA,PB=BAPD=DA, PB=BAPD=DA,PB=BA, then find the maximum volume of pyramid PBCDPBCDPBCD.
Let VVV denote the volume of PBCDPBCDPBCD, submit ⌊10000V⌋\lfloor 10000V \rfloor⌊10000V⌋.
Have a look at my problem set: SAT 1000 problems
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