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
问题描述:
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
答
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 = ...