diff --git a/工具v2/文本文件/新题收录列表.txt b/工具v2/文本文件/新题收录列表.txt index c39d49be..5b8b0131 100644 --- a/工具v2/文本文件/新题收录列表.txt +++ b/工具v2/文本文件/新题收录列表.txt @@ -46,3 +46,6 @@ 20240125-101736 023731:023737 +20240125-102216 +023738:023743,017707,023744:023746 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 040a4d0a..6feb30ad 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -144000,7 +144000,9 @@ "20220710\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023739" + ], "remark": "", "space": "", "unrelated": [] @@ -263017,7 +263019,9 @@ "same": [ "002642" ], - "related": [], + "related": [ + "023742" + ], "remark": "", "space": "4em", "unrelated": [] @@ -464846,7 +464850,9 @@ "20230503\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023739" + ], "remark": "", "space": "", "unrelated": [] @@ -479832,7 +479838,9 @@ "20230606\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023742" + ], "remark": "", "space": "", "unrelated": [] @@ -566841,7 +566849,9 @@ "20230101\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023742" + ], "remark": "", "space": "4em", "unrelated": [] @@ -641078,6 +641088,195 @@ "space": "4em", "unrelated": [] }, + "023738": { + "id": "023738", + "content": "从一副去掉了大小王的 $52$ 张扑克牌中任取 $5$ 张, 取得四种花色齐全的概率为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023739": { + "id": "023739", + "content": "若有 $5$ 位同学各自在周六、周日两天中任选一天参加公益活动, 则周六、周日都有同学参加公益活动的概率为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [ + "004647", + "017053" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023740": { + "id": "023740", + "content": "四张卡片上分别写着 $1$、$2$、$3$、$4$ 四个数, 若由这四张卡片排成一排组成一个四位数, 则其中 $2$ 不在个位上, $3$ 不在百位上的概率为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023741": { + "id": "023741", + "content": "一个口袋中有 $9$ 个形状大小完全相同的球, 球的编号分别为 $1,2 \\cdots 9$, 随机摸出两个球, 则两个球的编号之和大于 $9$ 的概率是\\blank{50}. (结果用分数表示).", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023742": { + "id": "023742", + "content": "$10$ 件产品中有 $3$ 件次品, 从中任取 $3$ 件, 无次品的概率为\\blank{50}, 至少出现 $1$ 件次品的概率为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [ + "017718", + "009351", + "021101" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023743": { + "id": "023743", + "content": "直线 $A x+B y+C=0$ 的系数可以从 $0$、$1$、$2$、$3$、$5$、$7$ 这 $6$ 个数字中取不同值, 在所有不同的直线中, 任取一条直线是经过原点的概率为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023744": { + "id": "023744", + "content": "某人射击一次击中的概率为 0.6 , 经过 $3$ 次射击, 此人至少有两次击中目标的概率为\\bracket{20}.\n\\fourch{$\\dfrac{81}{125}$}{$\\dfrac{54}{125}$}{$\\dfrac{36}{125}$}{$\\dfrac{27}{125}$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [ + "031484" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023745": { + "id": "023745", + "content": "甲口袋中有大小相同的白球 $3$ 个、红球 $5$ 个, 乙口袋中有大小相同的白球 $4$ 个、黑球 $8$ 个, 从两个口袋中各摸出 $2$ 个球. 则甲口袋中摸出的 $2$ 个球都是红球的概率为\\blank{50}, 两个口袋中摸出的 $4$ 个球中恰有 $2$ 个白球的概率为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023746": { + "id": "023746", + "content": "生产一种零件, 出现次品的概率是 $0.04$, 生产这种零件 $4$ 件, 其中恰有 $1$ 件次品, 恰有 $2$ 件次品, 至多有 $1$ 件次品的概率分别是多少?", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, "030001": { "id": "030001", "content": "若$x,y,z$都是实数, 则:(填写``\\textcircled{1} 充分非必要、\\textcircled{2} 必要非充分、\\textcircled{3} 充要、\\textcircled{4} 既非充分又非必要''之一)\\\\\n(1) ``$xy=0$''是``$x=0$''的\\blank{50}条件;\\\\\n(2) ``$x\\cdot y=y\\cdot z$''是``$x=z$''的\\blank{50}条件;\\\\\n(3) ``$\\dfrac xy=\\dfrac yz$''是``$xz=y^2$''的\\blank{50}条件;\\\\\n(4) ``$|x |>| y|$''是``$x>y>0$''的\\blank{50}条件;\\\\\n(5) ``$x^2>4$''是``$x>2$'' 的\\blank{50}条件;\\\\\n(6) ``$x=-3$''是``$x^2+x-6=0$'' 的\\blank{50}条件;\\\\\n(7) ``$|x+y|<2$''是``$|x|<1$且$|y|<1$'' 的\\blank{50}条件;\\\\\n(8) ``$|x|<3$''是``$x^2<9$'' 的\\blank{50}条件;\\\\\n(9) ``$x^2+y^2>0$''是``$x\\ne 0$'' 的\\blank{50}条件;\\\\\n(10) ``$\\dfrac{x^2+x+1}{3x+2}<0$''是``$3x+2<0$'' 的\\blank{50}条件;\\\\\n(11) ``$0