曲线x+y+z=√3,x²+y²+z² =4,所围成的面积s

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(x+y-z)(x-y+z)=

[x+(z-y)][x-(z-y)]=x-(z-y)记得采纳啊

因式分解(x+y+z)^3-(y+z-x)^3-(z+x-y)^3-(x+y-z)^3

(x+y+z)^3-(y+z-x)^3-(z+x-y)^3-(x+y-z)^3=((x+y+z)^3-(y+z-x)^3)-((z+x-y)^3+(x+y-z)^3)=(x+y+z-y-z+x)((x

(y-x)/(x+z-2y)(x+y-2z)+(z-y)(x-y)/(x+y-2z)(y+z-2x)+(x-z)(y-z

∑是循环和例如∑a=a+b+c∑a^2=a^2+b^2+c^2∑(z-y)(x-y)/(x+y-2z)(y+z-2x)=∑(z-y)(x-y)(x+z-2y)/(x+y-2z)(y+z-2x)(x+z

求曲线x+y+z=3 x+2y=1在yOz面上投影方程.具体如图

z=3-x-yx=1-2y求得z=2+yy=z-2回答完毕

试证明(x+y-2z)+(y+z-2x)+(z+x-2y)=3(x+y-2z)(y+z-2x)(z+x-2y)

有这样的公式:a^3+b^3+c^2-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)左边减右边,证明:(x+y-2z)^3+(y+z-2x)^3+(z+x-2y)^3-3(x+y

x+y−2z=52x−y+z=42x+y−3z=10

方程(1)+(2)得:3x-z=9④,方程(2)+(3)得:2x-z=7⑤,④-⑤得:x=2,把它代入⑤得:z=-3,把它代入(1)得:y=-3,∴原方程的解为x=2y=−3z=−3.

z=x*y是什么曲线在直角坐标系中

是一个马鞍面你可以用matlab软件画出来看看

(X-Y)3+(Y-Z)3+(Z-X)3 因式分解

(x-y)^3+(y-z)^3+(z-x)^3=[(x-y)^3+(y-z)^3]+(z-x)^3=(x-y+y-z)[(x-y)^2-(x-y)(y-z)+(y-z)^2]+(z-x)^3=(x-z

曲线y^2+z^2-2x=0; z=3 在x0y平面上投影曲线方程为( )

代人z=3则y^2=2x+9=2(x+9/2),即将y^2=2x图像向左平移4.5个单位

z/(x-y) × y/(x+y)

z/(x-y)×y/(x+y)=zy/(x-y)(x+y)=zy/(x²-y²)再问:还有两道题!麻烦你了!1.已知x-1/x=2,求x²/x四次方-x²+12

曲线y=2x

由曲线y=2x与直线y=x-1联立,解得,x=-1,x=2,故所求图形的面积为S=∫42(x−1−2x)dx=(12x2−x−2lnx)|42=4-2ln2.故答案为:4-2ln2.

若x+2y-4z=0 3x+y-z=0 求x:y:z

①x+2y-4z=0②3x+y-z=0①-2②x-6x-4z+2z=05x=2z代入①z=5x/2x+2y-10x=02y=9xy=9x/2x:y:z=1:9/2:5/2=2:9:5

2x+y+3z=383x+2y+4z=564x+y+5z=66

2x+y+3z=38①3x+2y+4z=56②4x+y+5z=66③③-①得:2x+2z=28,即x+z=14④,①×2-②得:x+2z=20⑤,由④和⑤组成方程组:x+z=14x+2z=20,解得:

设Γ为曲线x=t,y=t^2,z=t^3上相应于t从0变为1的曲线弧.第二类曲线积分∫P(x,y,z)dx+Q(x,y,

T=(x',y',z')=(1,2t,3t^2)所以,三个方向余弦分别为cosα=1/√(1+4t^2+9t^4)cosβ=2t/√(1+4t^2+9t^4)cosγ=3t^2/√(1+4t^2+9t

若曲线y=x

由积分的几何意义可得,a2=∫a0xdx=23x32|a0=2a323∴a=49故答案为:49

x+2y+3z=12x+3y+z=23x+y+2z=3

x+2y+3z=1            ①2x+3y+z=2 &nb

x=y/z=z/3,x+y+z =12,求2x+3y+4z是多少,

3元一次方程,好像是初一的问题哦.根据前面两个等式可以得出x=3zy=z(平方)/32x+3y+4z=2*(3z)+3*(z方/3)+4z现在变成了一元二次方程,你应该会解吧.

x/2=y/3=z/5 x+3y-z/x-3y+z

设x/2=y/3=z/5=ax=2ay=3az=5a是不是求的是:(x+3y-z)/(x-3y+z)?若是,如下:(x+3y-z)/(x-3y+z)=(2a+9a-5a)/(2a-9a+5a)=-3

若{x+3y+10z=0 则 (x+y-z)/(x-y+z)

x+3y+10z=0就是x+3y=-10z即2x+6y=-20zA式2x-y-2z=0就是2x-y=2zB式A式-B式得到:(2x+6y)-(2x-y)=-20z-2z即7y=-22z解出y=-22z