已知1/x+1/(y+z)=1/2,1/y+1/(x+z)=1/3,1/z+1/(x+z)=1/4求2/x+3/y+4/z
来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/20 10:54:04
已知1/x+1/(y+z)=1/2,1/y+1/(x+z)=1/3,1/z+1/(x+z)=1/4求2/x+3/y+4/z已知1/x+1/(y+z)=1/2,1/y+1/(x+z)=1/3,1/z+1
已知1/x+1/(y+z)=1/2,1/y+1/(x+z)=1/3,1/z+1/(x+z)=1/4求2/x+3/y+4/z
已知1/x+1/(y+z)=1/2,1/y+1/(x+z)=1/3,1/z+1/(x+z)=1/4求2/x+3/y+4/z
已知1/x+1/(y+z)=1/2,1/y+1/(x+z)=1/3,1/z+1/(x+z)=1/4求2/x+3/y+4/z
从1/x+1/(y+z)=1/2,
可得 (x+y+z)/[x(y+z)]=1/2
即 1/x =(y+z)/[2(x+y+z)]
同样可得:
1/y=(x+z)/[3(x+y+z)]
1/z=(x+y)/[4(x+y+z)]
所以:
2/x+3/y+4/z
=(y+z)/(x+y+z)+(x+z)/(x+y+z)+(x+y)/(x+y+z)
=2(x+y+z)/(x+y+z)
=2
已知 x/(y+z)+y/(z+x)+z/(x+y)=1求 (x*x)/(y+z)+(y*y)/(x+z)+(z*z)/(x+y)=?
已知实数x y z满足x/(x+1)=y/(y+2)=z/(z+3)=(x+y+z)/3,求x+y+z的值
已知实数x y z满足x/(x+1)=y/(y+2)=z/(z+3)=(x+y+z)/3,求x+y+z的值
已知x,y,z>0,xyz(x+y+z)=1,求证(x+y)(x+z)>=2
已知x,y,z满足 2倍(x-y的绝对值)+(2y的平方根)-z+(z×z)=-1/4,求x,y,z的值
已知X:Y=0.3:1/2,Y:Z=2:3,求X:Y:Z
已知;根号x+根号y-1+根号z-2=1/2(x+y+z),求x、y、z
已知(1)X-Y+Z=0 (2)X+2Y-3Z=0 求X:Y:Z
已知{x:y:z=1:2:3,x+y+z=12,求x、y、z的值
已知{2x-y-z=0,3x-9y+z=0求1,x:y:z
已知x:y:z=1:2:3,x+y+z=24,求x,y,z
已知x:y:z=1:3:5,求(2x+3y-z)/(x+y-2z)的值
已知xyz≥0,x+y+z=1,化简x(2y-z)/(1+x+3y)+y(2z-x) /(1+y+3z) +z(2x-y)/(1+z+3x)
已知实数x,y,z满足x+y+z=2根号x-1+2根号y-1+2根号z-1求X+2Y+3Z
已知 x,y,z都是正实数,且 x+y+z=xyz 证明 (y+x)/z+(y+z)/x+(z+x)/y≥2(1/x+1/y+1/z)^2
已知三个正实数x y z,且x+y+z=1,证明(x^2+y^2+z^2)(z/(x+y)+x/(y+z)+y/(z+x))>=1/2
已知X、Y、Z满足2X-Y+4Z=8(1);X-2Y-Z=7(2)求X-Y-Z的值
已知xyz满足(x/y+z)+(y/z+x)+(z/x+y)=1,则代数式(x^2/y+z)+(y^2/z+x)+z^2/x+y的值为