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已知二次函数y=x²+(2m+1)x+m²-1的最小值是-2,则m=
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y=x²+(2m+1)x+m²-1
=(x+m+1/2)^2+m^2-1-(m-1/2)^2
=(x+m+1/2)^2+m^2-1-(m^2-m+1/4)
=(x+m+1/2)^2+m-5/4
即当x+m+1/2=0时,取最小值
m-5/4=-2
m=-3/4
=(x+m+1/2)^2+m^2-1-(m-1/2)^2
=(x+m+1/2)^2+m^2-1-(m^2-m+1/4)
=(x+m+1/2)^2+m-5/4
即当x+m+1/2=0时,取最小值
m-5/4=-2
m=-3/4
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