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) (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, perpendicular to g, wrong number How to solve without trigonometric function

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) (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, perpendicular to g, wrong number How to solve without trigonometric function

1. ∫ ABCD is a rectangle ∫ Abe = ∠ FCE = 90 °∫ EF ⊥ AE ⊥ AEF = 90 °∫ AEB + ∠ FEC = 90 °∫ BAE + ∠ AEB = 90 °∫ FEC = ∠ BAE ≁ Abe ∽ ecf2, ∫ FEC = ∠ BAE ≁ MEC = bah ≁ BG ⊥ AC, i.e. ∫ BGC = 90 °∫ GBC + ∠ BCG = 90 °∫ ABG + ∠ GBC = 90 °