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例1 (2008年湖北卷)“如图1,在直三棱柱ABC-A_1B_1C_1中,平面A_1BC⊥侧面A_ABB_1.(1)求证:AB⊥BC;(2)若直线AC与平面A_1BC所成的角为θ,二面角A_1-BC-A的大小为
Example 1 (Hubei Volume in 2008) ”Figure 1, in straight triangular prism ABC-A_1B_1C_1, plane A_1BC⊥ side A_ABB_1. (1) verification: AB⊥BC; (2) if straight line AC and plane A_1BC The angle is θ and the dihedral angle A_1-BC-A is