摘要:证:设a < 0, ∵abc > 0, ∴bc < 0 又由a + b + c > 0, 则b + c = -a > 0 ∴ab + bc + ca = a(b + c) + bc < 0 与题设矛盾 又:若a = 0.则与abc > 0矛盾. ∴必有a > 0 同理可证:b > 0, c > 0
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