若x、y为实数且x<√x-1+√1-x+2⼀1,化简:|1-y|⼀y-1 急需!!!!!!!!!!!!!

2025-05-20 11:54:33
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回答(1):

解:
y<√(x-1) + √(1-x) + 1/2
x-1≥0,即x≥1
1-x≥0,即x≤1
∴x-1=0,x=1
∴y<√(x-1) + √(1-x) + 1/2 = 1/2
∴1-y>1/2
∴|1-y|/(y-1) = (1-y)/(y-1) = -1