设x,y是实数,且x눀+y눀-2x﹢4y﹢5≒0,求根号下﹙根号下2x+봀根号下y﹚分之一的值,急用

2025-05-18 09:17:02
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回答1:

解:
x²+y²-2x﹢4y﹢5=0
x²-2x+1+y²﹢4y﹢4=0
(x-1)²+(y+2)²=0
x-1=0或y+2=0
x=1或y=-2
根号下﹙根号下2x+½根号下y﹚分之一
=1/[√﹙√2+½√2﹚]
=1/[√﹙3√2/2﹚]
=√[2/(3√2)]
=√(√2/3)