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176. 18407-!-item-!-187;#058&011575 If the operation ⊙ is defined for all integers a and b by a ⊙ b = a + b - ab which of the following statements must be true for all integers a, b, and c ? I. a ⊙ b = b ⊙ a II. a ⊙ 0 = a III. ( a ⊙ b ) ⊙ c = a ⊙ ( b ⊙ c ) (A) I only (B) II only (C) I and II only (D) I and III only (E) I, II, and III ANS: E 有參考過商咖上的解題,但還是看不懂,希望這裡的高人可以幫忙解題 謝謝~ -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 219.84.232.190
freemind99:這種題目不用想太多 就照題目定義的公式把條件帶進去算 12/06 12:43
freemind99:a+b-ab= b+a-ba a+0-ax0=0+a-0xa 12/06 12:44
freemind99:(a+b-ab)+c-(a+b-ab)c = a+(b+c-bc)-a(b+c-bc) 12/06 12:46