(1) As shown in the figure, take AB, AC, AA 1 as the x, y and z axes respectively, and establish the spatial rectangular coordinate system A-xyz, then P(λ, 0, 1), PN = (12? λ, 12,? The normal vector of plane ABC is n = (0 0,0, 1).

∴sinθ=|PN？ n|PN||n||= 1(λ？ 12)2+54

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