>>408
|PA↑|^2+PA↑・(-3PB↑)+PA↑・(2PC↑)+(-3PB↑)・(2PC↑)=0
PB'↑ = -3PB↑ , PC'↑ = 2PC↑ とおけば
|PA↑+(1/2)(PB'↑+PC'↑)|^2 = (1/4)|PB'↑-C'↑|^2
B'C'の中点をM、AMの中点をNとすれば
4|PN↑|^2 = (1/4)|B'C'↑|^2