a2-2a+1/a2-1+a-2/2a-a2除以a 其中a=根号2+1
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原式=(a²-2a+1)/(a²-1)+(a-2)/(2a-a²)
=(a+1)²/(a+1)(a-1)-(a-2)/[a(a-2)]
=(a+1)/(a-1)-1/a
=(a²+a-a+1)/[a(a-1)]
=(a²+1)/[a(a-1)]
a=√2+1
原式=(3+2√2+1)/[√2(√2+1)]
=(4+2√2)/(2+√2)
=2
=(a+1)²/(a+1)(a-1)-(a-2)/[a(a-2)]
=(a+1)/(a-1)-1/a
=(a²+a-a+1)/[a(a-1)]
=(a²+1)/[a(a-1)]
a=√2+1
原式=(3+2√2+1)/[√2(√2+1)]
=(4+2√2)/(2+√2)
=2
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