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x=a
则a²+3a-2=0
a²+3a=2
原式=[(a+2)(a-2)/(a-2)²+1/(a-2)]×a(a-2)/2
=[(a+2)/(a-2)+1/(a-2)]×a(a-2)/2
=(a+2+1)/(a-2)×a(a-2)/2
=a(a+3)/2
=(a²+3a)/2
=2/2
=1
则a²+3a-2=0
a²+3a=2
原式=[(a+2)(a-2)/(a-2)²+1/(a-2)]×a(a-2)/2
=[(a+2)/(a-2)+1/(a-2)]×a(a-2)/2
=(a+2+1)/(a-2)×a(a-2)/2
=a(a+3)/2
=(a²+3a)/2
=2/2
=1
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