设实数X,Y,Z,满足X+1/y=1,y+1/z=1,则xyz的值为?
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设实数X,Y,Z,满足X+1/y=1,y+1/z=1,则xyz的值为?
设实数X,Y,Z,满足X+1/y=1,y+1/z=1,则xyz的值为?
设实数X,Y,Z,满足X+1/y=1,y+1/z=1,则xyz的值为?
1/y=1-x
y=1/﹙1-x﹚
1/﹙1-x﹚+1/z=1
1/z=1-1/﹙1-x﹚=﹣x/﹙1-x﹚
z=﹙1-x﹚/﹙﹣x﹚
∴xyz=x·1/﹙1-x﹚·﹙1-x﹚/﹙﹣x﹚=﹣1
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