[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$fXeg84V6VX4ar0D8zhG8et6nuBZZ1vXiG02L7wwKSDa0":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":16,"related":17,"source":21,"type":22},[],"2023-12-03 20:46:44",110670842,[8,9,10,11],"2","0","3","1",{"courseId":13,"courseImg":14,"courseName":15},"4a89ee8a312bca1d51a2bc1e96570db5","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6a9728adf7a593e58b86fcbd440bc14b.jpg","离散数学（杨老师）","对自然数集的普通加法,____________是加法的幂等元",[18,23,32,41,47,56,65,74,80,89],{"answer":19,"createTime":5,"id":6,"options":20,"question":16,"source":21,"type":22},[],[8,9,10,11],"v1",0,{"answer":24,"createTime":5,"id":25,"options":26,"question":31,"source":21,"type":22},[],110670844,[27,28,29,30],"a&deg;b=max{a, b}","a&deg;b=min{a,b}","a&deg;b=2ab","a&deg;b=a-b","下列运算中关于自然数集不能构成半群的是( )",{"answer":33,"createTime":5,"id":34,"options":35,"question":40,"source":21,"type":22},[],110670847,[36,37,38,39],"a","G中幺元","G中零元素","b","设群G=&lt;A,*&gt;中,A的元素个数大于1,若元素a&isin;A的逆元为b&isin;A,则a*b的运算结果是( )",{"answer":42,"createTime":5,"id":43,"options":44,"question":46,"source":21,"type":22},[],110670850,[45,11,10,8],"6","令A={a, b, c},&lt;A, *&gt;是循环群,a是幺元,b是生成元,则c的阶是________________",{"answer":48,"createTime":5,"id":49,"options":50,"question":55,"source":21,"type":22},[],110670853,[51,52,53,54],"零元","左零元","右零元","幺元","设&lt;S,*&gt;是群,若|S|&gt;1,S中不可能有______________",{"answer":57,"createTime":5,"id":58,"options":59,"question":64,"source":21,"type":22},[],110670855,[60,61,62,63],"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|&gt;1,则下列命题成立的是( )",{"answer":66,"createTime":5,"id":67,"options":68,"question":73,"source":21,"type":22},[],110670856,[69,70,71,72],"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":75,"createTime":5,"id":76,"options":77,"question":79,"source":21,"type":22},[],110670857,[11,8,9,78],"-1","设I是整数集,在I上定义二元运算*为a*b=a+b+a&middot;b,其中+和&middot;是数的加法和乘法,则代数系统&lt;I,*&gt;的幺元是",{"answer":81,"createTime":5,"id":82,"options":83,"question":88,"source":21,"type":22},[],110670859,[84,85,86,87],"永假式","永真式","可满足式","无","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":90,"createTime":5,"id":91,"options":92,"question":94,"source":21,"type":22},[],110670860,[36,93,39,87],"c","令A={a, b, c},&lt;A, *&gt;是循环群,a是幺元,b是生成元,则b3=________________"]