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Butterfly Theorem in Primary School Mathematics (Seeking)
As shown in the figure, in the trapezoid, there is the following relationship:?

(1) For similar graphs, the area ratio is equal to the square of the corresponding side length ratio s1:S2 = a 2/b 2?

(2)s 1 \u S2 \u S3 \u S4 =? a^2︰b^2︰ab︰ab? ; ?

③S3 = S4? ; ?

(4)S 1×S2=S3×S4 (derived from S 1/S3=S4/S2)?

(5)? AO:BO=(S 1+S3):(S2+S4)