∵P and m are the midpoint of AB and BC respectively, ∴pm∩... 12ac.
∴ Ed ... PM, ... (3 points)
∴ Quadrilateral PMDE is a parallelogram, ∴EP∥DM.
DM again? Aircraft DBC, sports? Aircraft DBC,
∴PE∥ Plane DBC...(5 points)
(2) Solution: Take the point O as the origin and the straight lines OA, OB and OD as the X, Y and Z axes, respectively, and establish the spatial rectangular coordinate system as shown in the figure. Let |AE|=2, then a (2 2,0,0), b (0 0,2,0) C (-2,0,0),
D (0 0,0,2), E (2 2,0,2), P (1, 1, 0)...(6 points)
∴DA=(2,0？ 2)、BC=(？ 2,? 2，0)、DB=(0，2，？ 2) ...(7 points)
Let the normal vector of the plane PBC be n = (x, y, z),
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