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问题: 初二期末错题改错求助

期末错题中有平时见过的差不多题型,因为平时没看懂过程,也没深究,结果期末扣分,向大家求助,请写明详细过程,想完全弄懂这几道题。谢谢!

解答:

解:(1)
∵1/x+1/y=1
∴(x+y)/xy=1 x+y=xy
(2x-3xy+2y)/(x+2xy+y)
=[2(x+y)-3xy]/[(x+y)+2xy]
=(2xy-3xy)/(xy+2xy)=-xy/3xy=-1/3
(2)
∵x+1/x=3
∴(x+1/x)^=9
x^+2+(1/x)^=9
x^-2+(1/x)^+4=9
(x-1/x)^=5
x-1/x=±√5
(3)
1/s1=1/t1+1/t2
s1=(t1+t2)/t1t2
1/s2=1/t2-1/t1
s2=(t1-t2)/t1t2
s1/s2=(t1-t2)/(t1+t2)