Construction of Circle ⊙O in Right Triangle △ABC with Tangency and Parallel Conditions:In △ABC, as shown in the diagram, ∠C = 90°. Use a compass to draw a circle ⊙O that satisfies the following conditions:
The center of the circle, O, lies on AB, and ⊙O is tangent to BC at D ;
⊙O intersects AB at points E and F, where AE < AF. Draw a tangent line AG from A to ⊙O, such that AG is parallel to DE.