From 6d5bd2b25546471f3837875ff77fd914299ae39a Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Mon, 1 May 2023 13:46:18 +0800 Subject: [PATCH] =?UTF-8?q?=E5=BD=95=E5=85=A52023=E7=A9=BA=E4=B8=AD?= =?UTF-8?q?=E8=AF=BE=E5=A0=82=E9=AB=98=E4=B8=89=E5=A4=8D=E4=B9=A0=E8=AF=BE?= =?UTF-8?q?32=E9=A2=98=E7=9B=AE?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 工具/latex界面修改题目内容.py | 2 +- 工具/关键字筛选题号.py | 2 +- 工具/批量收录题目.py | 4 +- 工具/文本文件/题号筛选.txt | 11 +- 工具/题号选题pdf生成.py | 2 +- 题库0.3/Problems.json | 400 ++++++++++++++++++++++++++++++++++ 6 files changed, 406 insertions(+), 15 deletions(-) diff --git a/工具/latex界面修改题目内容.py b/工具/latex界面修改题目内容.py index 3e32b0be..99658811 100644 --- a/工具/latex界面修改题目内容.py +++ b/工具/latex界面修改题目内容.py @@ -1,6 +1,6 @@ import os,re,json """这里编辑题号(列表)后将在vscode中打开窗口, 编辑后保存关闭""" -problems = "13475" +problems = "15305" editor = "王伟叶" def generate_number_set(string,dict): diff --git a/工具/关键字筛选题号.py b/工具/关键字筛选题号.py index 1c566e21..deb59247 100644 --- a/工具/关键字筛选题号.py +++ b/工具/关键字筛选题号.py @@ -2,7 +2,7 @@ import os,re,json """---设置关键字, 同一field下不同选项为or关系, 同一字典中不同字段间为and关系, 不同字典间为or关系, _not表示列表中的关键字都不含, 同一字典中的数字用来供应同一字段不同的条件之间的and---""" keywords_dict_table = [ - {"origin":[r"一模"],"origin2":["2023"],"origin3":[r"试题(9|10|11|15|19)"]} + {"origin":[r"2023"],"content":["内切球为"]} ] """---关键字设置完毕---""" # 示例： keywords_dict_table = [ diff --git a/工具/批量收录题目.py b/工具/批量收录题目.py index 57bc380c..b7a06ab1 100644 --- a/工具/批量收录题目.py +++ b/工具/批量收录题目.py @@ -1,8 +1,8 @@ #修改起始id,出处,文件名 -starting_id = 40667 +starting_id = 15332 raworigin = "" filename = r"C:\Users\weiye\Documents\wwy sync\临时工作区\自拟题目12.tex" -editor = "20230428\t王伟叶" +editor = "20230501\t王伟叶" indexed = False import os,re,json diff --git a/工具/文本文件/题号筛选.txt b/工具/文本文件/题号筛选.txt index 6295cbdc..97a97792 100644 --- a/工具/文本文件/题号筛选.txt +++ b/工具/文本文件/题号筛选.txt @@ -1,10 +1 @@ -15080:15100 - - - - -未使用题号: - - -已使用题号: -015080,015081,015082,015083,015084,015085,015086,015087,015088,015089,015090,015091,015092,015093,015094,015095,015096,015097,015098,015099,015100 \ No newline at end of file +015305 \ No newline at end of file diff --git a/工具/题号选题pdf生成.py b/工具/题号选题pdf生成.py index 1d5d168c..348f755a 100644 --- a/工具/题号选题pdf生成.py +++ b/工具/题号选题pdf生成.py @@ -7,7 +7,7 @@ import os,re,time,json,sys """---设置题目列表---""" #留空为编译全题库, a为读取文本文件中的题号筛选.txt文件生成题库 problems = r""" -21529 +a """ """---设置题目列表结束---""" diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 5bc6848e..ef2d7001 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -397868,6 +397868,406 @@ "space": "4em", "unrelated": [] }, + "015332": { + "id": "015332", + "content": "若关于$x$的方程$(\\dfrac{1}{2})^x+m=\\sqrt{x+1}$在实数范围内有解, 则实数$m$的取值范围是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年空中课堂高三复习课32", + "edit": [ + "20230501\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "015333": { + "id": "015333", + "content": "设$a>0$, 已知第一象限的两个点$P_1(x_1, y_1)$, $P_2(x_2, y_2)$分别在双曲线$\\Gamma_1: \\dfrac{x^2}{a^2}-y^2=1$和$\\Gamma_2: a^2 x^2-y^2=1$的右\n支上, 则$\\dfrac{x_1 x_2}{y_1 y_2}$的取值范围为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年空中课堂高三复习课32", + "edit": [ + "20230501\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "015334": { + "id": "015334", + "content": "设复数$z_1, z_2$满足: $z_1=\\mathrm{i} \\cdot \\overline{z_2}$, 且$|z_1-1|=1$, 其中$\\mathrm{i}$是虚数单位, 则$|z_1-z_2|$的取值范围是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年空中课堂高三复习课32", + "edit": [ + "20230501\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "015335": { + "id": "015335", + "content": "已知定义域为区间$D$的函数$y=f(x)$, 其导函数为$y=f'(x)$, 满足: 对任意$x \\in D$, 都有$f'(x)<1$. 证明: 方程$f(x)-x=0$至多只有一个实数解.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年空中课堂高三复习课32", + "edit": [ + "20230501\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "015336": { + "id": "015336", + "content": "设$S_n$是无穷数列$\\{a_n\\}$的前$n$项和, 若对任意正整数$n$, 不等式$\\dfrac{S_n}{n}<\\dfrac{S_{n+1}}{n+1}$恒成立, 则称数列$\\{a_n\\}$为和谐数列. 给出下列$3$个命题:\\\\\n\\textcircled{1} 若对任意正整数$n$, 均有$a_n=latex]\n\\def\\l{2}\n\\draw (0,0,0) node [below left] {$A$} coordinate (A);\n\\draw (A) ++ (\\l,0,0) node [below right] {$B$} coordinate (B);\n\\draw (A) ++ (\\l,0,-\\l) node [right] {$C$} coordinate (C);\n\\draw (A) ++ (0,0,-\\l) node [left] {$D$} coordinate (D);\n\\draw (A) -- (B) -- (C);\n\\draw [dashed] (A) -- (D) -- (C);\n\\draw (A) ++ (0,\\l,0) node [left] {$A_1$} coordinate (A1);\n\\draw (B) ++ (0,\\l,0) node [right] {$B_1$} coordinate (B1);\n\\draw (C) ++ (0,\\l,0) node [above right] {$C_1$} coordinate (C1);\n\\draw (D) ++ (0,\\l,0) node [above left] {$D_1$} coordinate (D1);\n\\draw (A1) -- (B1) -- (C1) -- (D1) -- cycle;\n\\draw (A) -- (A1) (B) -- (B1) (C) -- (C1);\n\\draw [dashed] (D) -- (D1);\n\\draw ($(C)!0.5!(C1)$) node [right] {$E$} coordinate (E);\n\\draw ($(B1)!0.3!(C)$) node [below] {$Q$} coordinate (Q);\n\\draw ($1/3*(A1)+1/3*(B1)+1/3*(C1)$) node [left] {$P$} coordinate (P);\n\\draw (B1)--(C)(E)--(Q);;\n\\draw [dashed] (Q)--(P)--(E);\n\\end{tikzpicture}\n\\end{center}\n\\fourch{$2 \\sqrt{2}$}{$\\sqrt{10}$}{$\\sqrt{11}$}{$2 \\sqrt{3}$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年空中课堂高三复习课32", + "edit": [ + "20230501\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "015338": { + "id": "015338", + "content": "已知椭圆$\\Gamma: \\dfrac{x^2}{2}+y^2=1$的右焦点为$F_2$, 过$F_2$作两条不重合的动直线$l_1$、$l_2$, 其中$l_1$与$\\Gamma$交于$A$、$B$两点, $l_2$与$\\Gamma$交于$C$、$D$两点, $M$、$N$分别是线段$AB$、$CD$的中点. 若直线$MN$过定点$(\\dfrac{2}{3}, 0)$, 试问$l_1$与$l_2$的夹角是否为定值? 如果是, 求出该定值; 如果不是, 请说明理由.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年空中课堂高三复习课32", + "edit": [ + "20230501\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "015339": { + "id": "015339", + "content": "设定义域为$\\mathbf{R}$的函数$y=f(x)$是增函数, 且存在实数$u, v$, 使得$u\\ln x$的解集是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年空中课堂高三复习课32", + "edit": [ + "20230501\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "015345": { + "id": "015345", + "content": "已知$y=f(x)$是定义域为$\\mathbf{R}$的奇函数, 且$x \\leq 0$时, $f(x)=\\mathrm{e}^x-1$, 其中$\\mathrm{e}$为自然对数的底数, 则$y=f(x)$的值域是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年空中课堂高三复习课32", + "edit": [ + "20230501\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "015346": { + "id": "015346", + "content": "如图, 在$\\triangle ABC$中, 点$D$、$E$是线段$BC$上两个动点, 且$\\overrightarrow{AD}+\\overrightarrow{AE}=x \\overrightarrow{AB}+y \\overrightarrow{AC}$, 则$\\dfrac{1}{x}+\\dfrac{9}{y}$的最小值为\\blank{50}.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) node [left] {$B$} coordinate (B);\n\\draw (3,0) node [right] {$C$} coordinate (C);\n\\draw ($(B)!0.3!(C)$) node [below] {$D$} coordinate (D);\n\\draw ($(B)!0.65!(C)$) node [below] {$E$} coordinate (E);\n\\draw (1,2) node [above] {$A$} coordinate (A);\n\\draw [->] (A)--(B);\n\\draw [->] (A)--(C);\n\\draw [->] (A)--(D);\n\\draw [->] (A)--(E);\n\\draw (B)--(C);\n\\end{tikzpicture}\n\\end{center}", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年空中课堂高三复习课32", + "edit": [ + "20230501\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "015347": { + "id": "015347", + "content": "如图, 棱长为$2$的正方体$ABCD-A_1B_1C_1D_1$的内切球为球$O, E$、$F$分别是棱$AB$和棱$CC_1$的中点, $G$在棱$BC$上移动, 则下列命题正确的个数是\\bracket{20}.\\\\\n\\textcircled{1} 存在点$G$, 使$OD$垂直于平面$EFG$;\\\\\n\\textcircled{2} 对于任意点$G, OA$平行于平面$EFG$;\\\\\n\\textcircled{3} 直线$EF$被球$O$截得的弦长为$\\sqrt{2}$;\\\\\n\\textcircled{4} 过直线$EF$的平面截球$O$所得的所有截面圆中, 半径最小的圆的面积为$\\dfrac{\\pi}{2}$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\def\\l{2}\n\\draw (0,0,0) node [below left] {$B$} coordinate (B);\n\\draw (B) ++ (\\l,0,0) node [below right] {$C$} coordinate (C);\n\\draw (B) ++ (\\l,0,-\\l) node [right] {$D$} coordinate (D);\n\\draw (B) ++ (0,0,-\\l) node [above right] {$A$} coordinate (A);\n\\draw (B) -- (C) -- (D);\n\\draw [dashed] (B) -- (A) -- (D);\n\\draw (A) ++ (0,\\l,0) node [above] {$A_1$} coordinate (A1);\n\\draw (B) ++ (0,\\l,0) node [left] {$B_1$} coordinate (B1);\n\\draw (C) ++ (0,\\l,0) node [above] {$C_1$} coordinate (C1);\n\\draw (D) ++ (0,\\l,0) node [right] {$D_1$} coordinate (D1);\n\\draw (A1) -- (B1) -- (C1) -- (D1) -- cycle;\n\\draw (D) -- (D1) (B) -- (B1) (C) -- (C1);\n\\draw [dashed] (A) -- (A1);\n\\filldraw ($(A1)!0.5!(C)$) node [right] {$O$} coordinate (O) circle (0.03);\n\\draw [dashed] (O) circle (1) ellipse (1 and 0.25);\n\\draw ($(A)!0.5!(B)$) node [left] {$E$} coordinate (E);\n\\draw ($(C)!0.5!(C1)$) node [right] {$F$} coordinate (F);\n\\draw ($(B)!0.8!(C)$) node [below] {$G$} coordinate (G);\n\\draw (F)--(G);\n\\draw [dashed] (F)--(E)--(G);\n\\end{tikzpicture}\n\\end{center}\n\\fourch{0}{1}{2}{3}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年空中课堂高三复习课32", + "edit": [ + "20230501\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "015348": { + "id": "015348", + "content": "设$a \\in \\mathbf{R}$, 若集合$A=\\{(x, y) |(x+y)^2+x+y-2 \\leq 0\\}$, $B=\\{(x, y) |(x-a)^2+(y-2 a-1)^2 \\leq a^2-1\\}$, \n且$A \\cap B \\neq \\varnothing$, 则$a$的取值范围是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年空中课堂高三复习课32", + "edit": [ + "20230501\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "015349": { + "id": "015349", + "content": "已知$a$、$b$、$\\alpha$、$\\beta \\in \\mathbf{R}$, 满足$\\sin \\alpha+\\cos \\beta=a$, $\\cos \\alpha+\\sin \\beta=b$, $0