From 2912baafcae02aca04897d670e7d068e58a05e6d Mon Sep 17 00:00:00 2001
From: WangWeiye <kj_wangweiye@126.com>
Date: Fri, 14 Apr 2023 15:40:36 +0800
Subject: [PATCH] =?UTF-8?q?=E4=BF=AE=E6=94=B915202=E9=A2=98=E9=9D=A2?=
 =?UTF-8?q?=E4=B8=80=E5=A4=84=E9=94=99=E8=AF=AF?=
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---
 工具/latex界面修改题目内容.py | 2 +-
 题库0.3/Problems.json         | 3 ++-
 2 files changed, 3 insertions(+), 2 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 41d841f5..90d3e2f2 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 = "014823"
+problems = "15202"
 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 fa5f4f11..3c551639 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -374160,7 +374160,7 @@
     },
     "015202": {
         "id": "015202",
-        "content": "如图, 在四棱锥$P-ABCD$中, 底面$ABCD$为直角梯形, $AD\\parallel BC$, $AB \\perp BC$, $AB=AD$, $BC=2AB, E$、$F$分别为棱$BC$、$BP$中点.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0,0) node [right] {$B$} coordinate (B);\n\\draw (0,0,2) node [below] {$A$} coordinate (A);\n\\draw (-2,0,2) node [below] {$D$} coordinate (D);\n\\draw (-4,0,0) node [left] {$C$} coordinate (C);\n\\draw (-1,{sqrt(3)},0) node [above] {$P$} coordinate (P);\n\\draw ($(B)!0.5!(C)$) node [below] {$E$} coordinate (E);\n\\draw ($(B)!0.5!(P)$) node [right] {$F$} coordinate (F);\n\\draw (C)--(D)--(A)--(B)--(P)--cycle(P)--(D)(P)--(A)--(F);\n\\draw [dashed] (C)--(B)(E)--(A)(E)--(F);\n\\end{tikzpicture}\n\\end{center}\n(1) 求证: 平面$AEF\\parallel$平面$DCP$;\\\\\n(2) 若平面$PBC \\perp$乎面$ABCD$, 直线$AP$与平面$PBC$所成的角为$45^{\\circ}$, 且$CP \\perp PB$, 求二面角$P-AB-C$的大小.",
+        "content": "如图, 在四棱锥$P-ABCD$中, 底面$ABCD$为直角梯形, $AD\\parallel BC$, $AB \\perp BC$, $AB=AD$, $BC=2AB, E$、$F$分别为棱$BC$、$BP$中点.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0,0) node [right] {$B$} coordinate (B);\n\\draw (0,0,2) node [below] {$A$} coordinate (A);\n\\draw (-2,0,2) node [below] {$D$} coordinate (D);\n\\draw (-4,0,0) node [left] {$C$} coordinate (C);\n\\draw (-1,{sqrt(3)},0) node [above] {$P$} coordinate (P);\n\\draw ($(B)!0.5!(C)$) node [below] {$E$} coordinate (E);\n\\draw ($(B)!0.5!(P)$) node [right] {$F$} coordinate (F);\n\\draw (C)--(D)--(A)--(B)--(P)--cycle(P)--(D)(P)--(A)--(F);\n\\draw [dashed] (C)--(B)(E)--(A)(E)--(F);\n\\end{tikzpicture}\n\\end{center}\n(1) 求证: 平面$AEF\\parallel$平面$DCP$;\\\\\n(2) 若平面$PBC \\perp$平面$ABCD$, 直线$AP$与平面$PBC$所成的角为$45^{\\circ}$, 且$CP \\perp PB$, 求二面角$P-AB-C$的大小.",
         "objs": [],
         "tags": [
             "第六单元"
@@ -374172,6 +374172,7 @@
         "usages": [],
         "origin": "2023届长宁区高三二模试题18",
         "edit": [
+            "20230414\t王伟叶",
             "20230414\t王伟叶"
         ],
         "same": [],