已知1999(x-y)+2000(y-z)-2001(x-y)=01999²(x-y)+2000²(y-z)+2001²(y-z)=2000,求z-y的值1式的2001(x-y)应改为2001(x-z),二式的2001²(y-z)应改为2001²(z-x)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/27 12:12:53
已知1999(x-y)+2000(y-z)-2001(x-y)=01999²(x-y)+2000²(y-z)+2001²(y-z)=2000,求z-y的值1式的2001(

已知1999(x-y)+2000(y-z)-2001(x-y)=01999²(x-y)+2000²(y-z)+2001²(y-z)=2000,求z-y的值1式的2001(x-y)应改为2001(x-z),二式的2001²(y-z)应改为2001²(z-x)
已知1999(x-y)+2000(y-z)-2001(x-y)=0
1999²(x-y)+2000²(y-z)+2001²(y-z)=2000,求z-y的值
1式的2001(x-y)应改为2001(x-z),二式的2001²(y-z)应改为2001²(z-x)

已知1999(x-y)+2000(y-z)-2001(x-y)=01999²(x-y)+2000²(y-z)+2001²(y-z)=2000,求z-y的值1式的2001(x-y)应改为2001(x-z),二式的2001²(y-z)应改为2001²(z-x)
已知1999(x-y)+2000(y-z)+2001(x-z)=0
∴1999²(x-y)+2000²(y-z)+2001²(z-x)=2000,求z-y的值
1999(x-y)+2000(y-z)-2001(x-z)=0
1999x-1999y+2000y-2000z-2001x+2001z=0
-2x+y+z=0
∴x=(y+z)/2
1999²(x-y)+2000²(y-z)+2001²(z-x)=2000
1999²[(y+z)/2-y]+2000²(y-z)+2001²[(z-(y+z)/2]=2000
1999²(z-y)/2+2000²(y-z)+2001²(z-y)/2=2000
(z-y)(1999²-2*2000²+2001²)=2000
(z-y)[1999²-2*(1999+1)²+2001²]=2000
(z-y)(1999²-2*1999²-4*1999-2+2001²)=2000
(z-y)(2001²-1999²-4*1999-2)=2000
(z-y)(8000-7996-2)=2000
(z-y)*2=2000
∴z-y=1/1000

已知1999(x-y)+2000(y-z)+2001(x-z)=0
因为1999²(x-y)+2000²(y-z)+2001²(z-x)=2000,求z-y的值

1999(x-y)+2000(y-z)-2001(x-z)=0
1999x-1999y+2000y-2000z-2001x+2001z=0
-2x+y+z=0

全部展开

已知1999(x-y)+2000(y-z)+2001(x-z)=0
因为1999²(x-y)+2000²(y-z)+2001²(z-x)=2000,求z-y的值

1999(x-y)+2000(y-z)-2001(x-z)=0
1999x-1999y+2000y-2000z-2001x+2001z=0
-2x+y+z=0
所以x=(y+z)/2
1999²(x-y)+2000²(y-z)+2001²(z-x)=2000
1999²[(y+z)/2-y]+2000²(y-z)+2001²[(z-(y+z)/2]=2000
1999²(z-y)/2+2000²(y-z)+2001²(z-y)/2=2000
(z-y)(1999²-2*2000²+2001²)=2000
(z-y)[1999²-2*(1999+1)²+2001²]=2000
(z-y)(1999²-2*1999²-4*1999-2+2001²)=2000
(z-y)(2001²-1999²-4*1999-2)=2000
(z-y)(8000-7996-2)=2000
(z-y)*2=2000所以
z-y=1/1000

收起

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)=? 3.已知:1998(x-y)+1999(y-z)+2000(z-x)=0,1998^2(x-y)+1999^2(y-z)+2000^2(z-x)=1999,求z-y的值. 已知:1998(x-y)+1999(y-z)+2000(z-x)=01998^2(x-y)+1999^2(y-z)+2000^2(z-x)=1999求:z-y等于多少 已知:1998(x-y)+1999(y-z)+2000(z-x)=0 1998^2(x-y)+1999^2(y-z)+2000^2(z-x)=1999 求:z-y等于多少 已知1999(x-y)+2000(y-z)-2001(x-y)=01999²(x-y)+2000²(y-z)+2001²(y-z)=2000,求z-y的值1式的2001(x-y)应改为2001(x-z),二式的2001²(y-z)应改为2001²(z-x) 已知 (x+y-z)/z=(x-y+z)/y=(y+z-x)/x,且xyz≠0,求代数式 ((x+y)(y+z)(x+z))/xyz 分式加减法:已知x+y/z=x+z/y=y+z/x(x+y+z≠0),求x+y-z/x+y+z 已知(x+y)(x+z)=x,(y+z)(y+x)=2y,(z+x)(z+y)=3z,求x,y,z 已知:x^2/(z+y)+y^2/(x+z)+z^2/(x+y)=0,求x/(z+y)+y/(x+z)+z/(x+y)的值. 已知x+y/z=x+z/y=y+z/x(x+y+z≠0),求x+y-z/x+y+z的步骤 已知x+y/z=x+z/y=y+z/x(x+y+z≠0),求x+y-z/x+y+z的步骤 已知x,y,z是正整数,且x大于y,x+y=6,z-y=2000,求x+y+z的最大值,要求:分类讨论 1998(z-y)+1999(y-z)+2000(z-x)=0 1998²(z-y)+1999²(y-z)+2000²(z-x)=0求z-y的值1998(x-y)+1999(y-z)+2000(z-x)=0 1998²(x-y)+1999²(y-z)+2000²(z-x)=0求z-y的值 已知X+Y+Z=0,求(X+Y)(Y+Z)(X+Z)+XYZ的值. 已知x+y+z=0,求(x+y)(y+z)(z+x)+xyz的值 已知x+y+z=0,求(x+y)(y+z)(x+z)+xyz的值 已知x+y+z=0求证x*x*x+y*y*y+z*z*z=3xyz 已知(y+z)/x=(z+x)/y=(x+y)/z,则(y+z)/x的值是多少