小学教育网 发表于 2016-8-15 10:36:45

四年级奥数题及答案:计算(高等难度)

  计算:(高等难度)
       
          计算:规定 a*b=ab(其中 a、 b都是自然数),分别计算(5*3)*2和5*(3*2).
       
          
        更多试题:
       
       
       
       
       
       

jzfour 发表于 2016-8-15 11:56:16


          计算答案:
       
          由5*3=5 3=125
       
          125*2=125 2=15625,
       
          即有(5*3)*2=15625
       
          又由3*2=3 2=9,5*9=5 9=1953125
       
          即有 5*(3*2)=1953125.
       
          规定新的代数运算是一类以近世代数为基础的新题型,近年来多次出现于国内外的数学竞赛题中.解这类问题的关键在于牢记新运算的定义,在计算时严格遵照规定的法则代入数值,遇到括号要优先运算.
       
          值得注意的是,有些规定的新运算未必满足交换律或结合律.譬如,本例实质上是乘方运算,由计算结果可知
       
          (5*3)*2≠5*(3*2)
       
          这就是说,本例规定的运算不满足结合律.又如,运算a△b=3×a-b÷2就不满足交换律,事实上
       
          1△2=1×3-2÷2=3-l=2,
       
          2△l=2×3-1÷2=6-0.5-5.5,
       
          即
       
          1△2≠2△1.
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
/collect/201608/14/40440.html
       
          并且
       
/collect/201608/14/40440.html
          =(a×b+a+b)×c+(a×b+a+b)+c
       
          =a×b×c+a×c+b×c+a×b+a+b+c,
       
/collect/201608/14/40440.html
          =a×(b×c+b+c)+a+(b×c+b+c)
       
          =a×b×c+a×b+a×c+a+b×c+b+c,
       
          从而有
       
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
          =5+7=12,
       
          因此
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查看完整版本: 四年级奥数题及答案:计算(高等难度)