若丨x丨=3,丨y丨=5,且丨x-y丨=-(x-y).求丨x-3丨+(y-5)²的值

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若丨x丨=3,丨y丨=5,且丨x-y丨=-(x-y).求丨x-3丨+(y-5)²的值若丨x丨=3,丨y丨=5,且丨x-y丨=-(x-y).求丨x-3丨+(y-5)²的值若丨x丨=3

若丨x丨=3,丨y丨=5,且丨x-y丨=-(x-y).求丨x-3丨+(y-5)²的值
若丨x丨=3,丨y丨=5,且丨x-y丨=-(x-y).求丨x-3丨+(y-5)²的值

若丨x丨=3,丨y丨=5,且丨x-y丨=-(x-y).求丨x-3丨+(y-5)²的值
因为 丨x丨 = 3,丨y丨= 5
所以 x = 3 或 -3 , y = 5 或 -5
因为 丨x - y丨= -(x - y)
所以 x - y ≤ 0
所以 x = 3 , y = 5 或 x = -3 , y = 5
当 x = 3 , y = 5 时,
|x - 3| + (y - 5)² = 0 + 0 = 0
当 x = -3 , y = 5 时,
|x - 3| + (y - 5)² = 6 + 0 = 6