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Mathematics in Meishan City in 2009 12.
△ABC perimeter is OC+AC,

Judging from the meaning of the question, OC * AC = 6;; AC? +OC? =4? You know,

Then there is clever calculation. If you want OC+AC and observe two equations, you can add the first equation *2 and then add the two equations to get AC? +OC? +2OC*AC=(AC+OC)? =2*6+4? =28, so AC+OC=2* root number 7, so calculate a.