(((x+2y)^2)+1)/(x+2y)=2,x和y属于实数,求(x^2)+(y+1)^2的最小(((x+2y)^2)+1)/(x+2y)=2,x和y属于实数,求(x^2)+(y+1)^2的最小值

来源：学生作业帮助网 编辑：作业帮 时间：2024/11/06 07:12:34

(((x+2y)^2)+1)/(x+2y)=2,x和y属于实数,求(x^2)+(y+1)^2的最小(((x+2y)^2)+1)/(x+2y)=2,x和y属于实数,求(x^2)+(y+1)^2的最小值
(((x+2y)^2)+1)/(x+2y)=2,x和y属于实数,求(x^2)+(y+1)^2的最小
(((x+2y)^2)+1)/(x+2y)=2,x和y属于实数,
求(x^2)+(y+1)^2的最小值

(((x+2y)^2)+1)/(x+2y)=2,x和y属于实数,求(x^2)+(y+1)^2的最小(((x+2y)^2)+1)/(x+2y)=2,x和y属于实数,求(x^2)+(y+1)^2的最小值
答：
[ (x+2y)²+1 ] /(x+2y)=2
(x+2y)²+1=2(x+2y)
(x+2y)²-2(x+2y)+1²=0
(x+2y-1)²=0
所以：x+2y=1
所以：
x²+(y+1)²
=(1-2y)²+(y+1)²
=1-4y+4y²+y²+2y+1
=5y²-2y+2
=5(y-1/5)²+9/5
>=9/5
所以：最小值为9/5

[(-x-y)(-x+y)-(x+y)^2-x(y-y^2)}÷1/2y x-y/x-x+y/y-(x+y)(x-y)/y² y/x=2 化简y(x+y)+(x+y)(x-y)-x^2 (x+y)(x-y)-(x-y)^2如题 (x+y)(x-y)-(x-y)^2 1、y-x/x²-y²2、(x-y)(y-z)(z-x)/(z-y)(y-x)(x-z) 【2(x-y)(x-y)(x-y)-8(x-y)(x-y)(x+y)+6y(x-y)(x-y)]/2(x-y)(x-y) (x-y)(2x-y-1) 因式分解x(x+y)(x-y)-x(x+y)^2 (x/x+y-x/y-x-2xy/x.x-y.y)/(1/x-1/y) 分式化简 x²/xy-x/y 3x/4x+y - x-2y/4x+y (1-y/y+x)÷x/y²-x² [(x-y)^2-(x+2y)(x-2y)]/y 2y(x+二分之一y)-[(x+y)(x-y)+2y(y+x)],其中|x-1|=2 （x-y)(x+y)-(x+y)^2+2y(y-x),其中x=1,y=3. 计算:y-x分之x+y+x-y分之y-y-x分之2x-y 已知x+y=a,2x-y=-2a,求[（x/y-y/x)/(x+y)-x(1/x-1/y)]/[(x+1)/y]的值 若2/x-1/y=3,求[y/x-y/x-y(x-y/x-x+y)]/x-2y/x的值 [(-2x-y)^2-(2x+y)(2x-y)]÷2y-1/2y x^2(x-y)+(y-x)