若有理数x、y、z满足(x-y)²-4(x-y)(y-z)=0,则下列式子一定成立的是:A:x+y+z=0B:x+y-2z=0C:y+z-2x=0D:z+x-2y=0
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![若有理数x、y、z满足(x-y)²-4(x-y)(y-z)=0,则下列式子一定成立的是:A:x+y+z=0B:x+y-2z=0C:y+z-2x=0D:z+x-2y=0](/uploads/image/z/14562531-27-1.jpg?t=%E8%8B%A5%E6%9C%89%E7%90%86%E6%95%B0x%E3%80%81y%E3%80%81z%E6%BB%A1%E8%B6%B3%EF%BC%88x-y%EF%BC%89%26%23178%3B-4%EF%BC%88x-y%EF%BC%89%EF%BC%88y-z%EF%BC%89%3D0%2C%E5%88%99%E4%B8%8B%E5%88%97%E5%BC%8F%E5%AD%90%E4%B8%80%E5%AE%9A%E6%88%90%E7%AB%8B%E7%9A%84%E6%98%AF%EF%BC%9AA%EF%BC%9Ax%2By%2Bz%3D0B%EF%BC%9Ax%2By-2z%3D0C%EF%BC%9Ay%2Bz-2x%3D0D%EF%BC%9Az%2Bx-2y%3D0)
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若有理数x、y、z满足(x-y)²-4(x-y)(y-z)=0,则下列式子一定成立的是:A:x+y+z=0B:x+y-2z=0C:y+z-2x=0D:z+x-2y=0
若有理数x、y、z满足(x-y)²-4(x-y)(y-z)=0,则下列式子一定成立的是:
A:x+y+z=0
B:x+y-2z=0
C:y+z-2x=0
D:z+x-2y=0
若有理数x、y、z满足(x-y)²-4(x-y)(y-z)=0,则下列式子一定成立的是:A:x+y+z=0B:x+y-2z=0C:y+z-2x=0D:z+x-2y=0
∵﹙x-z﹚²-4﹙x-y﹚﹙y-z﹚=0,
∴[(x-y)+(y-z)]²-4﹙x-y﹚﹙y-z﹚=0
∴[(x-y)-(y-z)]²=0
z+x-2y=0
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