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修正18063,18077题面

This commit is contained in:
weiye.wang 2023-06-09 10:20:45 +08:00
parent 87c7dba056
commit 3dc501623e
2 changed files with 7 additions and 5 deletions
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2
工具/latex界面修改题目内容.py
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@ -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):

10
题库0.3/Problems.json
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@ -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": [],