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 889e18a8..ed8f05b2 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 @@ -316,9 +316,12 @@ 20240203-220459 高二寒假作业1(1-8题) 024418:024422,017769,024423:024424 -20240203-221900 高二寒假作业1(9-16题) +20240203-221900 高二寒假作业1(9-最后题) 019519,024425:024427,031901,023142,024428:024430,022083 20240204-000056 高二寒假作业2 024431:024432,016870,024433,016886,023213,023215,016827,024434:024435,016865,024436:024437,014695,024438:024441 +20240204-115130 高二寒假作业3(1-9题) +024442:024444,007394,024445:024449 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index fefeea2f..5d7005bb 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -83135,7 +83135,9 @@ "20220625\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024449" + ], "remark": "", "space": "", "unrelated": [] @@ -111773,7 +111775,9 @@ "20220701\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024442" + ], "remark": "", "space": "", "unrelated": [] @@ -211810,7 +211814,9 @@ "20220720\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024443" + ], "remark": "", "space": "4em", "unrelated": [] @@ -212637,7 +212643,9 @@ "20220720\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024443" + ], "remark": "", "space": "", "unrelated": [] @@ -212844,7 +212852,9 @@ "20220720\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024449" + ], "remark": "", "space": "", "unrelated": [] @@ -214295,7 +214305,8 @@ "same": [], "related": [ "002570", - "009292" + "009292", + "024447" ], "remark": "", "space": "", @@ -215877,7 +215888,9 @@ "20220720\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024443" + ], "remark": "", "space": "4em", "unrelated": [] @@ -262010,7 +262023,9 @@ "same": [ "021061" ], - "related": [], + "related": [ + "024445" + ], "remark": "", "space": "4em", "unrelated": [] @@ -304831,7 +304846,8 @@ ], "same": [], "related": [ - "009292" + "009292", + "024447" ], "remark": "", "space": "4em", @@ -464396,7 +464412,9 @@ "20230503\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024442" + ], "remark": "", "space": "4em", "unrelated": [] @@ -464748,7 +464766,9 @@ "20230503\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024444" + ], "remark": "", "space": "", "unrelated": [] @@ -514293,7 +514313,9 @@ "20230707\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024442" + ], "remark": "", "space": "4em", "unrelated": [] @@ -569712,7 +569734,9 @@ "same": [ "009274" ], - "related": [], + "related": [ + "024445" + ], "remark": "", "space": "4em", "unrelated": [] @@ -662135,6 +662159,185 @@ "space": "4em", "unrelated": [] }, + "024442": { + "id": "024442", + "content": "[r016909,r003568,r019121,019126,019127] 540 共有\\blank{50}个正约数.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [ + "016909", + "003568", + "019121" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024443": { + "id": "024443", + "content": "[r007382,r007354,r007509,009299,021085] 四封不同的信投入三个不同的箱子, 共有\\blank{50}种不同的投法; 若每个箱子至少投一封信, 又有\\blank{50}种不同的投法.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [ + "007382", + "007354", + "007509" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024444": { + "id": "024444", + "content": "[r016925,002544,001248,002632,018295] $1 !+2 !+3 !+\\cdots+2013$ ! 的个位数为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [ + "016925" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024445": { + "id": "024445", + "content": "[023318,007570,r021061,r009274,021077] 已知 $n \\in \\mathbf{N}$, $n \\geq 1$, 则 $\\mathrm{P}_1^1+2\\mathrm{P}_2^2+3\\mathrm{P}_3^3+\\cdots+n \\mathrm{P}_n^n=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [ + "021061", + "009274" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024446": { + "id": "024446", + "content": "[019146,018009,014572,004018,007471] 关于 $n$ 的不等式 $\\mathrm{C}_n^4>\\mathrm{C}_n^{n-6}$ 的解集为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024447": { + "id": "024447", + "content": "[r010869,009292,021079,r007449,018008] $\\mathrm{C}_3^3+\\mathrm{C}_4^3+\\mathrm{C}_5^3+\\cdots+C_{2012}^3=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [ + "010869", + "007449" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024448": { + "id": "024448", + "content": "[009388,019175,019579,004022,009266] 数学小组有 10 名学生, 其中高二学生有 3 名, 高三有 7 名, 今派 5 人参加一次数学竟赛, 并且高二高三必须都要有, 共有种不同的选法.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "024449": { + "id": "024449", + "content": "[r002593,r007391,003537,019166,009267] (1) 让 8 个同学站成一排的排列数为 $m$, 让 8 个同学站成两排 (前排 3 人, 后排 5 人) 的排列数为 $n$, 试比较 $m$ 与 $n$ 的大小;\\\\\n(2) 让 8 个身高各不相同的同学站成两排 (前排 3 人, 后排 5 人), 且后排的任意一位同学都比前排的所有同学高, 共有多少种排法?", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [ + "002593", + "007391" + ], + "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