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(2)∵m?1,∴当x???1,1?时,f(x)?m?1,
2∴不等式f(x)?x?mx?3即m?x?mx?2,
2x2?2∴m(1?x)?x?2,m?,
1?x2x2?2(1?x)2?2(1?x)?33??(1?x)??2, 令g(x)?1?x1?x1?x∵0?1?x?2,
∴(1?x)?3?23(当x?1?3时取“=”),∴g(x)min?23?2, 1?x∴m?23?2.