【试题分析】第47道原创题:尺规画圆

文摘   2024-10-25 18:33   美国  

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:
  1. The center of the circle, O, lies on AB, and ⊙O is tangent to BC at D ; 
  2. ⊙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.


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