f(x,y)=3x^2y y^3-3x^2-3y^2 2-搜答案-搜狗做题网

(x-y)(x+y)(xx-yy)=?

(x-y)(x+y)(xx-yy)=(x^2-y^2)(x^2-y^2)=x^4-2x^2y^2+y^4

X:Y:Z=1:2:3因为：14(XX+YY+ZZ)=(X+2Y+3Z)^214(XX+YY+ZZ)-(X+2Y+3Z)^2=013X^2+10Y^2+5Z^2-4XY-6XZ-12YZ=0(4X^2

(x²-2x+1)+(y²-2y+1)+1=(x-1)²+(y-1)²+1完全平方大于等于0所以(x-1)²+(y-1)²>=0所以(x-1

x=1/(√3-2)=-(2+√3)y=1/(√3+2)=2-√3x+y=-2√3xy=-1xx+xy+yy=(x+y)^2-xy=12-(-1)=13(xx+xy+yy)/(x+y)=-13/2√3

XX+YY-4X-6Y+13=(XX-2X+4)+(YY-6Y+9)=(X-2)(X-2)+(Y-3)(Y-3)=0所以(X-2)的平方和(Y-3)的平方都等于0所以X=2,Y=3所以3X+4Y=18

f(x+y,x-y)=(x+y)^3-2(x+y)(x-y)+3(x-y)^2

XX-YY/(X-Y)(X-Y)约分

XX-YY/(X-Y)(X-Y)=(x^2-y^2)/(x-y)(x-y)=(x+y)(x-y)/(x-y)(x-y)=(x+y)/(x-y)

这两题都可以化成全微分求解 .点击放大：

2/9再问：过程，谢谢再答：由题目得y/x=2/3xy/xx+yy-yy/xx-yy=y/x-(y/x)²=2/3-4/9=2/9

x2+y2-z2+2xy/x2-y2+z2-2xz=(x+y)2-z2/(x-z)2-y2=(x+y-z)(x+y+z)/(x-y-z)(x-z+y)=(x+y+z)/(x-y-z)然后就是代入了

用一个变量来表示另外两个变量即可得解.如用Y表示X有X=3Y/4用Y表示Z有z=5Y/4所以(xy+yz+xz)/xx+yy+zz=（3YY/4+5YY/4+15YY/16）/（9YY/16+YY+2

xx+yy+4x-6y+13=0整理得：(x+2)^2+(y-3)^2=0那么只有(x+2)=0(y-3)=0x=-2y=3(x^2-2x)/(x^2+3y^2)=(4+4)/(4+3*9)=8/31

x^2+x-x^2-y=3x-y=3(x-y)^2=9x^2+y^2-2xy=9(x^2+y^2)/2-xy=9/2

f(x)=3xf(y)=3yf(x)*f(y)=3x*3y=3(x+y)=f(x+y)同理可证f(x)/f(y)=f(x-y)x,y是指数哦

x=y=0f(0)=2f(0)+0f(0)=0令y=0f(x)=2f(0)+x^2+3x=x^2+3x

(xx)+(yy)-4x+6y+13=0(xx)-4x+(yy)+6y+13=0(xx)-4x+4+(yy)+6y+9=0(x-2)²+(y+3)²=0x-2=0y+3=0x=2y

【e^(--x^2)y^2】'=e^(--x^2)*【2yy'--2xy^2】=2e^(--x^2)(x^3--x)=--【e^(--x^2)*x^2】‘,因此e^(--x^2)y^2=C--e^(-

x^2-2x+y^2+6y+10=0(x-1)^2+(y+3)^2=0所以x=1,y=-3x+y=-2x^2表示x的平方

x(x+1)-(xx+y)=-3x^2+x-x^2-y=-3x-y=-3(xx+yy)/2-xy=(x^2+y^2-2xy)/2=(x-y)^2/2=(-3)^2/2=9/2再问：是对的吧！再答：当然

xx-yy-x-y 因式分解

xx-yy-x-y=(x^2-y^2)-(x+y)=(x+y)(x-y)-(x+y)=(x+y)(x-y-1)