x^2+y^2=2(x+y) 则x+y的最大值是

来源：学生作业帮助网编辑：六六作业网时间：2024/05/19 22:09:55

x^2+y^2=2(x+y)则x+y的最大值是x^2+y^2=2(x+y)则x+y的最大值是x^2+y^2=2(x+y)则x+y的最大值是令x+y=ay=a-x代入x²+a²-2a

x^2+y^2=2(x+y) 则x+y的最大值是
x^2+y^2=2(x+y) 则x+y的最大值是

x^2+y^2=2(x+y) 则x+y的最大值是
令x+y=a
y=a-x
代入
x²+a²-2ax+x²=2a
2x²-2ax+(a²-2a)=0
x是实数则方程有实数解
△>=0
4a²-8a²+16a>=0
4a(a-4)≤0
0≤a≤4
所以最大值是4

x+y的最大值为4

用线性规划。原式化为x^2-2x+y^2-2y=0
(x-1)^2+(y-1)^2=2，即为圆心（1,1），半径为根号二的圆
然后设z=x+y，线性规划啊
楼主高中了应该知道

x-y/x-x+y/y-(x+y)(x-y)/y² y/x=2 已知x-y=3,求[（x+y)(x-y)-(x-y)^2+2y(x-y)]除以的值已知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 (y-x)²(x-y)+(x-y)的三次方+2(x-y)²(y-x) 化简y(x+y)+(x+y)(x-y)-x^2 x+2y分之x-y=3,则代数式,x+2y分之2（x-y)-3(x-y)分之x+2y的值为若x+2y分之x-y=3,则代数式x+2y分之2（x-y)-3(x-y)分之x+2y的值为已知x≠y,x^2-x=y^2-y,求x+y的值. y=3(x-y),x=2(x-y)求x,y的值 x,y 满足x(x-2)-y(y-6)=-10,求x,y的值若x*x+y*y=x+y-1/2,求x,y的值如题正数x,y满足x-y=2xy,求x-y/x+y的值. 设f(x+y,x-y)=x^2-y^2,则f(x,y)= 若f(x+y,y/x)=x^2-y^2,则F(X,Y)= 已知f(x+y,y/x)=x^2-y^2,则f(x,y)= x（x-2y）=y(2y-x) ,则y分之x是多少 (x+y)(x-y)-(x-y)^2如题 (x+y)(x-y)-(x-y)^2