※ 引述《rfvbgtsport (uygh)》之銘言:
: 若a,b,c為複數,a/b=b/c=c/a,求a+b+c/a-b+c?
: 我利用合比性值,a/b=b/c=c/a
: =a+b+c/b+c+a=1,得a=b=c,但答案會少一個,為什麼呢?可否請前輩指點一下!謝謝
a/b = b/c = c/a = t
a = bt
b = ct
c = at
(a + b + c) = (a + b + c)t
=> (1 - t)(a + b + c) = 0
a + b + c = 0 or a = b = c
=> (a + b + c)/(a - b + c) = 0 or 3
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