化简求值a눀-1⼀a눀+2a+1+2a-a⼀a-2÷a 其中a=根号2+1

2025-01-05 08:38:51
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回答1:

原式=(a+1)(a-1)/(a+1)^2+(a)/(a-1)*1/a
=(a-1)/(a+1)+1/(a-1)
=[(a-1)^2+1]/(a^2-1)
=[(根号2)^2+1]/(2+1+2根号2-1)
=3/(2+2根号2)
=3(根号2-1)/2(2-1)
=3(根号2-1)/2