From 033ec6298dedd24c2abe308af32e5811ef08fe35 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Thu, 25 Jan 2024 09:59:18 +0800 Subject: [PATCH] =?UTF-8?q?=E6=94=B6=E5=BD=95=E9=AB=98=E4=B8=89=E5=AF=92?= =?UTF-8?q?=E5=81=87=E4=BD=9C=E4=B8=9A13=E6=96=B0=E9=A2=98?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 工具v2/文本文件/新题收录列表.txt | 3 + 题库0.3/Problems.json | 166 ++++++++++++++++++++++++++++++- 2 files changed, 168 insertions(+), 1 deletion(-) 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 cc11a547..319fb3c2 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 @@ -37,3 +37,6 @@ 20240124-214513 023713:023714 +20240125-095857 +023715:023722 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index f83e1bf8..1cd1cd21 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -211594,7 +211594,9 @@ "20220720\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023720" + ], "remark": "", "space": "", "unrelated": [] @@ -640595,6 +640597,168 @@ "space": "4em", "unrelated": [] }, + "023715": { + "id": "023715", + "content": "若将 $1$、$2$、$3$ 填人 $3 \\times 3$ 的方格中, 要求每行、每列都没有重复数字, 如图是其中一种填法, 则不同的填写方法共有\\blank{50}种.\n\\begin{center}\n\\begin{tabular}{|c|c|c|}\n\\hline 1 & 2 & 3 \\\\\n\\hline 3 & 1 & 2 \\\\\n\\hline 2 & 3 & 1 \\\\\n\\hline\n\\end{tabular}\n\\end{center}", + "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": [] + }, + "023716": { + "id": "023716", + "content": "学校组织春游活动,每个学生可以选择去四个地方:崇明、朱家角、南汇和嘉定, 有四位同学恰好分别来自这四个地方, 若他们不去家乡, 且分别去了不同地方,则四位同学去向的所有可能结果数为\\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": [] + }, + "023717": { + "id": "023717", + "content": "甲、乙、丙三个人玩``剪刀、石头、布''游戏,一次游戏中可以出现的不同结果数为\\blank{50}种.", + "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": [] + }, + "023718": { + "id": "023718", + "content": "我们把各位数字之和为 6 的四位数称为``六合数''(如 2013), 则``六合数''中首位为 2 的六合数共有\\blank{50}个.", + "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": [] + }, + "023719": { + "id": "023719", + "content": "从$-1,0,1,2$ 这四个数中选三个不同的数作为函数 $f(x)=a x^2+b x+c$ 的系数, 则可组成个不同的二次函数,其中偶函数有\\blank{50}个(用数字作答).", + "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": [] + }, + "023720": { + "id": "023720", + "content": "如图所示,用 $4$ 种不同的颜色涂入图中的矩形 $A$、$B$、$C$、$D$ 中,要求相邻的矩形涂色不同,则不同的涂法有\\blank{50}种.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) rectangle (1.5,2);\n\\draw (0,{2/3}) --++ (1.5,0);\n\\draw (0,{4/3}) --++ (1.5,0);\n\\draw (0.75,{1/3}) node {D};\n\\draw (0.75,1) node {C};\n\\draw (0.375,{5/3}) node {A} ({9/8},{5/3}) node {B};\n\\draw (0.75,{4/3}) -- (0.75,2);\n\\end{tikzpicture}\n\\end{center}", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [ + "007367" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023721": { + "id": "023721", + "content": "从正方体六个面的对角线中,任取两条作为一对,其中所成角为 $60^{\\circ}$ 的共有\\blank{50}对.", + "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": [] + }, + "023722": { + "id": "023722", + "content": "定义数列 $\\{a_n\\}$ 如下: 存在 $k \\in \\mathbf{N}$ 且 $k \\geq 1$, 满足 $a_ka_{s+1}$,已知数列 $\\{a_n\\}$ 共 $4$ 项, 若 $a_i \\in\\{t, x, y, z\\}$($i=1$、$2$、$3$、$4$) 且 $t| y|$''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