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13问答网 > 设a、b为实数,集合A={a,b⼀a,1},B={a^2,a+b,0},若A=B，求a^2010+b^2011

设a、b为实数,集合A={a,b⼀a,1},B={a^2,a+b,0},若A=B，求a^2010+b^2011

2025-03-17 00:01:59

推荐回答（1个）

回答1：

集合A={a,b/a,1},B={a^2,a+b,0},
分母不=0,即a不=0
有A=B,则说明b/a=0,即b=0
所以{a,0,1}={a^2,a,0}
即有:a^2=1.且a不=1,则a=-1
a^2010+b^2011
=1+0
=1

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