As shown in the figure, e is a point on the edge BC of rectangle ABCD, EF ⊥ AE, EF intersects AC respectively, CD intersects at points m, F, BG ⊥ AC, perpendicular foot is C, BG intersects AE at point H (1) Verification: △ Abe ∽ ECF; (2) Find the triangle similar to △ ABH and prove it; (3) If e is the midpoint of BC, BC = 2Ab, ab = 2, find the length of EM BG ⊥ AC is g, wrong number

As shown in the figure, e is a point on the edge BC of rectangle ABCD, EF ⊥ AE, EF intersects AC respectively, CD intersects at points m, F, BG ⊥ AC, perpendicular foot is C, BG intersects AE at point H (1) Verification: △ Abe ∽ ECF; (2) Find the triangle similar to △ ABH and prove it; (3) If e is the midpoint of BC, BC = 2Ab, ab = 2, find the length of EM BG ⊥ AC is g, wrong number

(1) It is proved that the ∵ quadrilateral ABCD is a rectangle ∵ Abe = ∵ ECF = 90 °≁ AE ⊥ EF, ∵ AEB + ≁ FEC = 90 °∫ AEB + ∧ bea = 90 °∧ BAE = ∧ CEF ∧ Abe ∧ ECF (2) △ ABH ∧ ECM