a+b=√2011+√2012 ①,a-b=√2012-√2011 ②a²-b²=（a+b)*(a-b)=(√2012+√2011)(√2012-√2011)=2012-2011=1①²+②²2（a²+b²）=2012+2011+2√(2012×2011)+2012+2011-2√(2012×2011...