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设集合A={a,b,c},B={-1,0,1},映射A→B满足f(a)-f(b)=f(c),求映射A→B的个数
设集合A={a,b,c},B={-1,0,1},映射A→B满足f(a)-f(b)=f(c),求映射A→B的个数求详解~...
设集合A={a,b,c},B={-1,0,1},映射A→B满足f(a)-f(b)=f(c),求映射A→B的个数
求详解~ 展开
求详解~ 展开
1个回答
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f:A->B
f(c)=1, f(a)= 1, f(b)=0
f(c)=1, f(a)= 0, f(b)=-1
f(c)=0, f(a)=0, f(b)=0
f(c)=0, f(a)=-1, f(b)=-1
f(c)=0, f(a)=1, f(b)=1
f(c)=-1, f(a)=0, f(b)=1
f(c)=-1, f(a)=-1, f(b)=0
total: 7个
f(c)=1, f(a)= 1, f(b)=0
f(c)=1, f(a)= 0, f(b)=-1
f(c)=0, f(a)=0, f(b)=0
f(c)=0, f(a)=-1, f(b)=-1
f(c)=0, f(a)=1, f(b)=1
f(c)=-1, f(a)=0, f(b)=1
f(c)=-1, f(a)=-1, f(b)=0
total: 7个
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