∵MD⊥ plane ABCD, NB⊥ plane ABCD, ∴MD∨nb.
∴ bppm = nbmd = 12,QBQA=232? 23= 12,
∴ qbqa = bppm = 12。 At △MAB, QP∨AM can be obtained.
∵QP? Tablet AMD, AM? Flat AMD.
∴QP∥ plane AMD, that is, find a point Q on the side of AB. When BQ= 13AB, there is qp∑ plane AMD;
(2) Take the straight lines of DA, DC and DM as the X, Y and Z axes respectively, and establish the spatial rectangular coordinate system as shown in the figure.
Get d (0 0,0,0), b (2 2,2,0), c (0 0,2,0), m (0 0,0,2), n (2 2,2, 1).
∴cm=(0,-2,2),cn=(2,0, 1),dc=(0,2,0)
Let the normal vector of CMN plane be m=(x, y, z).
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