[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$femsNPB60C-13P8HCcRBTR2cfkZROK9FBFT8cmnYnRnw":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":19,"related":20,"source":31,"type":32},[],"2025-04-06 15:30:46",181772295,[8,9,10,11],"周四下雨","我周二不休假","周四下雪","我周二休假",{"count":13,"courseId":14,"courseImg":15,"courseName":16,"workId":17,"workName":18},73,"ab85973f2567b92d73a448f09d267b12","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F35f97c8324f322a7ca42de7bc5dc5abb.png","离散结构","work_41124022","推理与一阶逻辑","对于前提:如果我周二休假,则周二下雨或下雪.周二是晴天.可以得出的结论是( )",[21,33,43,53,63,72,82,92,102,111],{"answer":22,"createTime":23,"id":24,"options":25,"question":30,"source":31,"type":32},[],"2025-04-06 15:30:35",181772118,[26,27,28,29],"①存在实例 ②假言推理 ③存在实例 ④假言推理","①全称实例 ②假言推理 ③存在实例 ④化简律","①存在实例 ②假言推理 ③全称实例 ④取拒式","①全称实例 ②假言推理 ③全称实例 ④假言推理","对于有效论证:班上的 93 个学生,每人拥有一台 PC.拥有 PC 的每个人都会使用 word 软件.因此,班上的学生 Zeke 会使用 word 软件.使用的推理规则按顺序应该是( )","v1",0,{"answer":34,"createTime":35,"id":36,"options":37,"question":42,"source":31,"type":32},[],"2025-04-06 15:30:36",181772125,[38,39,40,41],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F01a953128df0bf1ec0bc80debefb51fe.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6799c81afa5f5847ab3653365d04ea90.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F10a80922b1caf5efd7b9be5fd2c944a3.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd251f3d67da2319a7098a65ed80e18b9.png\">","语句"每门课至少有一名学生选修"的否定可以用哪个逻辑公式表示?其中,命题函数 T(x, y) 表示"x 正在上 y",x 的论域是学生,y 的论域是课程",{"answer":44,"createTime":45,"id":46,"options":47,"question":52,"source":31,"type":32},[],"2025-04-06 15:30:38",181772135,[48,49,50,51],"①假言推理 ②合取律","①全称实例 ②假言推理 ③合取律 ④存在引入","①存在实例 ②假言推理 ③合取律 ④存在引入","①全称实例 ②假言推理 ③合取律 ④全称引入","对于有效论证:班上的学生 Doug 知道如何写 Java 程序.知道如何写 Java 程序的每个人都可以得到高薪的工作.因此,班上的某些人可以得到高薪的工作.使用的推理规则按顺序应该是( )",{"answer":54,"createTime":55,"id":56,"options":57,"question":62,"source":31,"type":32},[],"2025-04-06 15:30:39",181772146,[58,59,60,61],"有效:假设命题变元 p 为真、q 为假,则出现了"1 个前提为真、1 个前提为假,结论为真"的情况","无效:假设命题变元 p 为真、q 为真,则出现了"1 个前提为真、1 个前提为假,结论为假"的情况","无效:假设命题变元 p 为假、q 为真,则出现了"2 个前提都为真,但结论为假"的情况","有效:假设命题变元 p 为假、q 为假,则出现了"2 个前提都为真,结论也为真"的情况",""有效论证"可定义为:在论证的所有可能性中,不能出现"所有前提为真,但结论为假"的情况.据此解释以下论证是否"有效"? p → q ¬p --------------- ∴ ¬q",{"answer":64,"createTime":55,"id":65,"options":66,"question":71,"source":31,"type":32},[],181772155,[67,68,69,70],"①全称实例 ②全称实例 ③假言三段论 ④全称引入","①全称实例 ②全称实例 ③假言推理 ④全称引入","①存在实例 ②存在实例 ③假言三段论 ④存在引入","①全称实例 ②存在实例 ③假言推理 ④全称引入","对于有效论证:寝室 5 位室友的每一个都选修过离散数学课程.选修过离散数学课程的每个学生都可以选修算法课程.因此,所有 5 位室友都可以选修算法课程.使用的推理规则按顺序应该是( )",{"answer":73,"createTime":74,"id":75,"options":76,"question":81,"source":31,"type":32},[],"2025-04-06 15:30:40",181772162,[77,78,79,80],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F55369b2499293a9ad4bb97b727c9017f.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9af3c820cf6c762c696f8d89aac123d9.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F01fb3b5dbe5277016180286552c3abed.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc0c2209f94eb76c36aedd9d57c8c24fd.webp\">","将语句"存在一个非负整数,小于等于任何一个非负整数"翻译成逻辑表达式.在下面选项中,m 和 n 的论域是所有非负整数",{"answer":83,"createTime":84,"id":85,"options":86,"question":91,"source":31,"type":32},[],"2025-04-06 15:30:41",181772173,[87,88,89,90],"①存在实例 ②附加律 ③全称实例 ④假言推理 ⑤附加律 ⑥取拒式 ⑦存在引入","①全称实例 ②化简律 ③全称实例 ④假言推理 ⑤化简律 ⑥取拒式 ⑦全称引入","①全称实例 ②化简律 ③存在实例 ④假言推理 ⑤化简律 ⑥合取律 ⑦全称引入","①存在实例 ②化简律 ③全称实例 ④假言推理 ⑤化简律 ⑥合取律 ⑦存在引入","对于有效论证:本班有人到过法国.到过法国的每个人都会参观卢浮宫.因此,本班有人参观过卢浮宫.使用的推理规则按顺序应该是( )",{"answer":93,"createTime":94,"id":95,"options":96,"question":101,"source":31,"type":32},[],"2025-04-06 15:30:42",181772179,[97,98,99,100],"没有香蕉不熟","所有香蕉都熟了","有些香蕉没熟","没有香蕉熟了","下面哪个是"有些香蕉熟了"的否定",{"answer":103,"createTime":94,"id":104,"options":105,"question":110,"source":31,"type":32},[],181772185,[106,107,108,109],"∃ x∃ y(x≥y)","∃ x∀ y(x≥y)","∃ x∀ y(x<y)","∀ x∃ y(x≥y)","∀ x∃ y(x<y)的否定是",{"answer":112,"createTime":113,"id":114,"options":115,"question":120,"source":31,"type":32},[],"2025-04-06 15:30:43",181772189,[116,117,118,119],"没有人去过商店","每个人都没去过商店","某人去过商店","每个人都去过商店","下面哪一项是"某人没有去过商店"的否定"]