△ ABC is an equilateral triangle,
E is the midpoint of ∴ae⊥bc BC province,
Also ∵ BC ∨ AD, ∴AE⊥AD,
∵PA⊥ plane ABCD, AE? Plane abcd plane,
∵PA? Flat pAD, ad? Plane PAD, and PA∩AD=A,
∴AE⊥ flat pad,
* PD plane pad again, ∴ AE ⊥ PD
(2) Let AB=2 and H be any point on PD.
Connect, um, from (1) I know AE⊥ flat pad.
∴∠EHA is the angle formed by EH and the plane pad,
In Rt△EAH, AE=√3, so when AH is the shortest, that is, AH⊥PD, the angle between EH and planar PAD ∠EHA is the largest.
At this time tan∠EHA=l
Therefore, ah = AC1Σ surface CDB 1. And AD=2, so ∠ ADH = 45, so PA = 2.
At this time, the angle between AE and CH is 30.