As shown in the figure, known isosceles △ ABC, AC = BC = 10, ab = 12, take BC as diameter, make ⊙ o intersection AB point D, intersection AC at point G, DF ⊥ AC, perpendicular foot is f, intersection CB extension line at point E. (1) prove: straight line ef is tangent line of ⊙ o; (2) find the value of sin ∠ a

As shown in the figure, known isosceles △ ABC, AC = BC = 10, ab = 12, take BC as diameter, make ⊙ o intersection AB point D, intersection AC at point G, DF ⊥ AC, perpendicular foot is f, intersection CB extension line at point E. (1) prove: straight line ef is tangent line of ⊙ o; (2) find the value of sin ∠ a

(1) It is proved that: connecting CD, OD, ∵ BC is the diameter of ⊙ o, ∵ CDB = 90 °, namely CD ⊥ AB, ∵ AC = BC, ∵ BD = ad, ∵ Bo = Co, ∵ OD ∥ AC, ∵ EF ⊥ AC,