[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$fEa1ubJrmiq52nikUv_fkZG9CXwmvXG-p4N13FFVcvRo":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":16,"related":17,"source":27,"type":28},[],"2023-12-03 20:46:44",110670860,[8,9,10,11],"a","c","b","无",{"courseId":13,"courseImg":14,"courseName":15},"4a89ee8a312bca1d51a2bc1e96570db5","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6a9728adf7a593e58b86fcbd440bc14b.jpg","离散数学（杨老师）","令A={a, b, c},<A, *>是循环群,a是幺元,b是生成元,则b3=________________",[18,29,38,45,51,60,69,78,84,92],{"answer":19,"createTime":5,"id":20,"options":21,"question":26,"source":27,"type":28},[],110670842,[22,23,24,25],"2","0","3","1","对自然数集的普通加法,____________是加法的幂等元","v1",0,{"answer":30,"createTime":5,"id":31,"options":32,"question":37,"source":27,"type":28},[],110670844,[33,34,35,36],"a°b=max{a, b}","a°b=min{a,b}","a°b=2ab","a°b=a-b","下列运算中关于自然数集不能构成半群的是( )",{"answer":39,"createTime":5,"id":40,"options":41,"question":44,"source":27,"type":28},[],110670847,[8,42,43,10],"G中幺元","G中零元素","设群G=<A,*>中,A的元素个数大于1,若元素a∈A的逆元为b∈A,则a*b的运算结果是( )",{"answer":46,"createTime":5,"id":47,"options":48,"question":50,"source":27,"type":28},[],110670850,[49,25,24,22],"6","令A={a, b, c},<A, *>是循环群,a是幺元,b是生成元,则c的阶是________________",{"answer":52,"createTime":5,"id":53,"options":54,"question":59,"source":27,"type":28},[],110670853,[55,56,57,58],"零元","左零元","右零元","幺元","设<S,*>是群,若|S|>1,S中不可能有______________",{"answer":61,"createTime":5,"id":62,"options":63,"question":68,"source":27,"type":28},[],110670855,[64,65,66,67],"G中有零元","G有生成元","G中有幺元","G中除了幺元外还有其他幂等元","设〈G,*〉是群,且|G|>1,则下列命题成立的是( )",{"answer":70,"createTime":5,"id":71,"options":72,"question":77,"source":27,"type":28},[],110670856,[73,74,75,76],"一个元素的左右逆元不一定相等","每个元素必有左逆元","一个元素的左逆元存在时必唯一","一个元素有左逆元,则它也是右逆元","对于一个代数系统,以下命题成立的是( )",{"answer":79,"createTime":5,"id":80,"options":81,"question":83,"source":27,"type":28},[],110670857,[25,22,23,82],"-1","设I是整数集,在I上定义二元运算*为a*b=a+b+a·b,其中+和·是数的加法和乘法,则代数系统<I,*>的幺元是",{"answer":85,"createTime":5,"id":86,"options":87,"question":91,"source":27,"type":28},[],110670859,[88,89,90,11],"永假式","永真式","可满足式","设有代数系统G=〈A,*〉,其中A是所有命题公式的集合,*为命题公式的合取运算,则G的幺元是( )",{"answer":93,"createTime":5,"id":6,"options":94,"question":16,"source":27,"type":28},[],[8,9,10,11]]