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Does Shaanxi College Entrance Examination 20 12 have a problem to prove the theorem of three perpendicular lines?
Yes Question 18 is yes.

18. (The full score of this small question is 12)

(1) As shown in the figure, it is proved that the proposition "A is a straight line in the plane ∏, B is a straight line outside ∏ (B is not perpendicular to ∏), and C is the projection of the straight line B on ∏. If a⊥b, then a⊥c "is true.

(2) Write the inverse proposition of the above proposition and judge whether it is established (without proof).