已知x+y=2,求z=1/x+4/y的极值,最好不要用求导的方法x,y均大于0.

已知x:：y：z=3：4：5,(1)求x+y分之z的值；（2）若x+y+z=6,求x,y,z. 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^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满足2X-Y+4Z=8(1);X-2Y-Z=7(2)求X-Y-Z的值 已知x+2y+4z=1,求x^+y^+z^的最小值 已知x+2y+4z=1,q求x^+y^+z^的最小值 已知整数x、y、z,满足x≤y＜z,且｜x+y｜+｜y+z｜+｜z+x｜=4,｜x-y｜+｜y-z｜+｜z-x｜=2,求x^2+y^2+z^2的值. 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2｜x-y｜+√2y+z+z2-z+1/4=0求x+y+z的值 已知XY+X/X+Y+1=2 XZ+2X/X+Z+2=3 (Y+1)(Z+2)/Y+Z+3=4 求X+Y+Z的值已知(XY+X)/(X+Y+1)=2 (XZ+2X)/(X+Z+2)=3 [(Y+1)(Z+2)]/(Y+Z+3)=4 求X+Y+Z的值 已知4x-3y-3z=x-3y+z=0(x、y、z不等于0)(1)求x：y：z （2）求2x+3y-4z/z的值 已知X/Y=2,X/Z=4,Z=1,求代数式X+Y+Z的和除以X-Y+Z的值 已知4x-3y-3z=0,x-3y-z=0求(1)x:z的值.（2）x:y:z的值. 已知x/4=y/5=z/6 求x+y+z/3x-2y+z的值 已知x/4=y/5=z/6,求x+y+z/3x-2y+z的值. 已知x:y:z=2:3:4,且x-y+z=36,求x+y+z的值.