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求式子的取值范围(用基本不等式)x^2-3x+3/x-2(x>2)
人气:255 ℃ 时间:2020-06-16 08:16:25
解答
(x²-3x+3)/(x-2)
=(x²-2x-x+2+1)/(x-2)
=x-1+1/(x-2)
=(x-2)+1/(x-2)+1
>=2+1=3
∴(x^2-3x+3)/(x-2)>=3 (x>2)=(x²-2x-x+2+1)/(x-2)是怎么转化成x-1+1/(x-2)的啊??x²-2x-x+2+1=x(x-2)-(x-2)+1
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