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 0296bb29..31bc3b97 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 = "18076" +problems = "18063,18077" editor = "王伟叶" def generate_number_set(string,dict): diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index ef690d55..09756377 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -463260,7 +463260,7 @@ }, "018063": { "id": "018063", - "content": "已知$\\{a_n\\}$为等比数列, 且$a_1=3$, $q=2$, 则$s_6=$\\blank{50}.", + "content": "已知$\\{a_n\\}$为等比数列, 且$a_1=3$, $q=2$, 则该数列的前$6$项之和$S_6=$\\blank{50}.", "objs": [], "tags": [], "genre": "填空题", @@ -463270,7 +463270,8 @@ "usages": [], "origin": "2023年秋考试题3", "edit": [ - "20230608\t王伟叶" + "20230608\t王伟叶", + "20230609\t王伟叶" ], "same": [], "related": [], @@ -463542,7 +463543,7 @@ }, "018077": { "id": "018077", - "content": "直四棱柱$ABCD-A_1B_1C_1D_1$中, $AB\\parallel DC$, $AB \\perp AD$, $AB=2$, $AD=3$, $DC=4$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, scale = 0.5]\n\\draw (0,0,0) node [below left] {$A$} coordinate (A);\n\\draw (A) ++ (2,0,0) node [below right] {$B$} coordinate (B);\n\\draw (A) ++ (4,0,-3) node [right] {$C$} coordinate (C);\n\\draw (A) ++ (0,0,-3) node [left] {$D$} coordinate (D);\n\\draw (A) -- (B) -- (C);\n\\draw [dashed] (A) -- (D) -- (C);\n\\draw (A) ++ (0,4,0) node [left] {$A_1$} coordinate (A_1);\n\\draw (B) ++ (0,4,0) node [right] {$B_1$} coordinate (B_1);\n\\draw (C) ++ (0,4,0) node [above right] {$C_1$} coordinate (C_1);\n\\draw (D) ++ (0,4,0) node [above left] {$D_1$} coordinate (D_1);\n\\draw (A_1) -- (B_1) -- (C_1) -- (D_1) -- cycle;\n\\draw (A) -- (A_1) (B) -- (B_1) (C) -- (C_1);\n\\draw [dashed] (D) -- (D_1);\n\\draw (A_1)--(B);\n\\draw [dashed] (B)--(D)--(A)(D)--(A_1);\n\\end{tikzpicture}\n\\end{center}\n(1) 求证: $A_1B \\parallel$面$DCC_1D$;\\\\\n(2) 若四棱柱体积为$36$, 求二面角$A_1-BD-A$的大小.", + "content": "直四棱柱$ABCD-A_1B_1C_1D_1$中, $AB\\parallel DC$, $AB \\perp AD$, $AB=2$, $AD=3$, $DC=4$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, scale = 0.5]\n\\draw (0,0,0) node [below left] {$A$} coordinate (A);\n\\draw (A) ++ (2,0,0) node [below right] {$B$} coordinate (B);\n\\draw (A) ++ (4,0,-3) node [right] {$C$} coordinate (C);\n\\draw (A) ++ (0,0,-3) node [left] {$D$} coordinate (D);\n\\draw (A) -- (B) -- (C);\n\\draw [dashed] (A) -- (D) -- (C);\n\\draw (A) ++ (0,4,0) node [left] {$A_1$} coordinate (A_1);\n\\draw (B) ++ (0,4,0) node [right] {$B_1$} coordinate (B_1);\n\\draw (C) ++ (0,4,0) node [above right] {$C_1$} coordinate (C_1);\n\\draw (D) ++ (0,4,0) node [above left] {$D_1$} coordinate (D_1);\n\\draw (A_1) -- (B_1) -- (C_1) -- (D_1) -- cycle;\n\\draw (A) -- (A_1) (B) -- (B_1) (C) -- (C_1);\n\\draw [dashed] (D) -- (D_1);\n\\draw (A_1)--(B);\n\\draw [dashed] (B)--(D)--(A)(D)--(A_1);\n\\end{tikzpicture}\n\\end{center}\n(1) 求证: $A_1B \\parallel$平面$DCC_1D$;\\\\\n(2) 若四棱柱体积为$36$, 求二面角$A_1-BD-A$的大小.", "objs": [], "tags": [], "genre": "解答题", @@ -463552,7 +463553,8 @@ "usages": [], "origin": "2023年秋考试题17", "edit": [ - "20230608\t王伟叶" + "20230608\t王伟叶", + "20230609\t王伟叶" ], "same": [], "related": [],