己知|a|=1,lb|=2,|c|=3,且a>b>c,求a十b+c的值
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b的绝对值大于a,但是b小于a因此a=1或-1,b=-2,c=-3
a+b+c=-4 或-6
a+b+c=-4 或-6
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|a|=1, a= -1 or +1 -----(1)
|b|=2, b= -2 or +2 -----(2)
|c|=3, c= -3 or +3 -----(3)
a > b -------------------(4)
b > c -------------------(5)
(1), (2) and (4) => b = -2 -------(6)
(3), (5) and (6) => c = -3 --------(7)
==> a= -1 or +1, b=-2, c=-3
a+b+c = 1-2-3 or -1-2-3 = -4 or -6
|b|=2, b= -2 or +2 -----(2)
|c|=3, c= -3 or +3 -----(3)
a > b -------------------(4)
b > c -------------------(5)
(1), (2) and (4) => b = -2 -------(6)
(3), (5) and (6) => c = -3 --------(7)
==> a= -1 or +1, b=-2, c=-3
a+b+c = 1-2-3 or -1-2-3 = -4 or -6
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