在平面内,定点 A,B,C,D\mathrm{A},\mathrm{B},\mathrm{C},\mathrm{D}A,B,C,D 满足 ∣DA→∣=∣DB→∣=∣DC→∣,DA→⋅DB→=DB→⋅DC→=DC→⋅DA→=−2\left| \overrightarrow{DA}\right| = \left| \overrightarrow{DB}\right| = \left| \overrightarrow{DC}\right| ,\overrightarrow{DA} \cdot \overrightarrow{DB} = \overrightarrow{DB} \cdot \overrightarrow{DC} = \overrightarrow{DC} \cdot \overrightarrow{DA} = - 2DA=DB=DC,DA⋅DB=DB⋅DC=DC⋅DA=−2 ,动点 P,M\mathrm{P},\mathrm{M}P,M 满足 ∣AP→∣=1,PM→=MC→\left| \overrightarrow{AP}\right| = 1,\overrightarrow{PM} = \overrightarrow{MC}AP=1,PM=MC , 则 ∣BM→∣2{\left| \overrightarrow{BM}\right| }^{2}BM2 的最大值是A. 434\frac{43}{4}443B. 494\frac{49}{4}449C. 37+634\frac{{37} + 6\sqrt{3}}{4}437+63D. 37+2334\frac{{37} + 2\sqrt{33}}{4}437+233