若实数X、Y、Z满足(X-Z)的平方-4(X-Y)(Y-Z)=0,则下列成立的是:A:X+Y+Z=0 B:X+Y-2Z=0 C:Y+Z-2X=0D:Z+X-2Y=0
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![若实数X、Y、Z满足(X-Z)的平方-4(X-Y)(Y-Z)=0,则下列成立的是:A:X+Y+Z=0 B:X+Y-2Z=0 C:Y+Z-2X=0D:Z+X-2Y=0](/uploads/image/z/1079446-22-6.jpg?t=%E8%8B%A5%E5%AE%9E%E6%95%B0X%E3%80%81Y%E3%80%81Z%E6%BB%A1%E8%B6%B3%EF%BC%88X-Z%EF%BC%89%E7%9A%84%E5%B9%B3%E6%96%B9-4%EF%BC%88X-Y%29%28Y-Z%29%3D0%2C%E5%88%99%E4%B8%8B%E5%88%97%E6%88%90%E7%AB%8B%E7%9A%84%E6%98%AF%EF%BC%9AA%3AX%2BY%2BZ%3D0+B%3AX%2BY-2Z%3D0+C%3AY%2BZ-2X%3D0D%3AZ%2BX-2Y%3D0)
若实数X、Y、Z满足(X-Z)的平方-4(X-Y)(Y-Z)=0,则下列成立的是:A:X+Y+Z=0 B:X+Y-2Z=0 C:Y+Z-2X=0D:Z+X-2Y=0
若实数X、Y、Z满足(X-Z)的平方-4(X-Y)(Y-Z)=0,则下列成立的是:A:X+Y+Z=0 B:X+Y-2Z=0 C:Y+Z-2X=0
D:Z+X-2Y=0
若实数X、Y、Z满足(X-Z)的平方-4(X-Y)(Y-Z)=0,则下列成立的是:A:X+Y+Z=0 B:X+Y-2Z=0 C:Y+Z-2X=0D:Z+X-2Y=0
D
设x-y=a,y-z=b
由题意得 (a+b)^2-4ab=(a-b)^2=0
所以 a=b
所以 x-y=y-z
所以 z+x-2y=0 选D
选择题,由选项得X等于多少Y多少Z,代到条件里试,很快