集合A={x/x=3n+1,n∈Z}B={x/x=3n+2,n∈Z}M={x/x=6n+3,n∈Z}对于任意a∈A,b∈B,是否一定有a+b=m且m∈M?答案给的是设a=3k+1,b=3l+2.k,l∈Z,则a+b=3(k+l)+3因此当k+l=2p(p∈Z)时,a+b=6p+3,此时有m∈M,使a+b=m;当k+l=2p+1(p∈Z)时,a
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![集合A={x/x=3n+1,n∈Z}B={x/x=3n+2,n∈Z}M={x/x=6n+3,n∈Z}对于任意a∈A,b∈B,是否一定有a+b=m且m∈M?答案给的是设a=3k+1,b=3l+2.k,l∈Z,则a+b=3(k+l)+3因此当k+l=2p(p∈Z)时,a+b=6p+3,此时有m∈M,使a+b=m;当k+l=2p+1(p∈Z)时,a](/uploads/image/z/2743997-5-7.jpg?t=%E9%9B%86%E5%90%88A%3D%7Bx%2Fx%3D3n%2B1%2Cn%E2%88%88Z%7DB%3D%7Bx%2Fx%3D3n%2B2%2Cn%E2%88%88Z%7DM%3D%7Bx%2Fx%3D6n%2B3%2Cn%E2%88%88Z%7D%E5%AF%B9%E4%BA%8E%E4%BB%BB%E6%84%8Fa%E2%88%88A%2Cb%E2%88%88B%2C%E6%98%AF%E5%90%A6%E4%B8%80%E5%AE%9A%E6%9C%89a%2Bb%3Dm%E4%B8%94m%E2%88%88M%3F%E7%AD%94%E6%A1%88%E7%BB%99%E7%9A%84%E6%98%AF%E8%AE%BEa%3D3k%2B1%2Cb%3D3l%2B2.k%2Cl%E2%88%88Z%2C%E5%88%99a%2Bb%3D3%28k%2Bl%29%2B3%E5%9B%A0%E6%AD%A4%E5%BD%93k%2Bl%3D2p%28p%E2%88%88Z%29%E6%97%B6%2Ca%2Bb%3D6p%2B3%2C%E6%AD%A4%E6%97%B6%E6%9C%89m%E2%88%88M%2C%E4%BD%BFa%2Bb%3Dm%3B%E5%BD%93k%2Bl%3D2p%2B1%28p%E2%88%88Z%29%E6%97%B6%2Ca)
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