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A geometric problem (ι = Greek letter L) in the math homework of Dragon Boat Festival in the first semester.
1, which proves △ ACD △ BCE.

∴? DE=3- 1=2

2. There are three situations:

⑴? Intersect with AB

Prove that △ ACD △ BCE

DE=∣a-b∣

⑵? 1. If it coincides with AC or BC, then DE=AC=BC.

(3) 4. It does not intersect with AB, as shown in the figure.

Create CF⊥ι

Then: AD‖CF‖BE

∠ACD = BFC(90 & amp; ordm-∠ACF)=∠CBE

Similarly: ∠DAC=∠BCE

∴△ACD≌△BCE

DE=a+b