若实数x,y满足x²+y²-4x-2y+5=0,则根号下x+y/根号下3y-2根号下x的值是( )A 1 B 3/2+ C 3+2倍根号2 D 3- 2倍根号2
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![若实数x,y满足x²+y²-4x-2y+5=0,则根号下x+y/根号下3y-2根号下x的值是( )A 1 B 3/2+ C 3+2倍根号2 D 3- 2倍根号2](/uploads/image/z/582626-2-6.jpg?t=%E8%8B%A5%E5%AE%9E%E6%95%B0x%2Cy%E6%BB%A1%E8%B6%B3x%26%23178%3B%2By%26%23178%3B-4x-2y%2B5%3D0%2C%E5%88%99%E6%A0%B9%E5%8F%B7%E4%B8%8Bx%2By%2F%E6%A0%B9%E5%8F%B7%E4%B8%8B3y-2%E6%A0%B9%E5%8F%B7%E4%B8%8Bx%E7%9A%84%E5%80%BC%E6%98%AF%28+%29A+1+B+3%2F2%2B+C+3%2B2%E5%80%8D%E6%A0%B9%E5%8F%B72+D+3-+2%E5%80%8D%E6%A0%B9%E5%8F%B72)
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若实数x,y满足x²+y²-4x-2y+5=0,则根号下x+y/根号下3y-2根号下x的值是( )A 1 B 3/2+ C 3+2倍根号2 D 3- 2倍根号2
若实数x,y满足x²+y²-4x-2y+5=0,则根号下x+y/根号下3y-2根号下x的值是( )
A 1 B 3/2+ C 3+2倍根号2 D 3- 2倍根号2
若实数x,y满足x²+y²-4x-2y+5=0,则根号下x+y/根号下3y-2根号下x的值是( )A 1 B 3/2+ C 3+2倍根号2 D 3- 2倍根号2
x²+y²-4x-2y+5=0
x²-4x+4+y²-2y+1=0
(x-2)²+(y-1)²=0
x-2=0 x=2
y-1=0 y=1
带入的3+2倍根号2,选C
x^2+y^2-4x-2y+5=0
x^2-4x+4+y^2-2y+1=0
(x-2)^2+(y-1)^2=0
x-2=0,y-1=0
x=2,y=1
根号下x+y/根号下3y-2×根号下x
=(√3)/(1×√2)
=2分之根号6
x²+y²-4x-2y+5=0
(x-2)^2+(y-1)^2=0
x=2,y=1