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09 Chongqing senior high school entrance examination mathematics last one to multiple choice questions
Exclusion can be used.

(2) Obviously not. When both D and E are midpoint, quadrilateral is obviously a square.

(3) Let CD=x, because DA=CE, then DE? =CD? +CE? =CD? +DA?

=x? +(8-x)? =2(x-4)? +32(0≤x≤8)

It is easy to see that when x=4, the minimum DE is four times the root number 2.

So choose B.