修改15202题面一处错误
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import os,re,json
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import os,re,json
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"""这里编辑题号(列表)后将在vscode中打开窗口, 编辑后保存关闭"""
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"""这里编辑题号(列表)后将在vscode中打开窗口, 编辑后保存关闭"""
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problems = "014823"
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problems = "15202"
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editor = "王伟叶"
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editor = "王伟叶"
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def generate_number_set(string,dict):
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def generate_number_set(string,dict):
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@ -374160,7 +374160,7 @@
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},
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},
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"015202": {
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"015202": {
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"id": "015202",
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"id": "015202",
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"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.",
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"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.",
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"objs": [],
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"objs": [],
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"tags": [
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"tags": [
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"第六单元"
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"第六单元"
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@ -374172,6 +374172,7 @@
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"usages": [],
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"usages": [],
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"origin": "2023届长宁区高三二模试题18",
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"origin": "2023届长宁区高三二模试题18",
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"edit": [
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"edit": [
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"20230414\t王伟叶",
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"20230414\t王伟叶"
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"20230414\t王伟叶"
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],
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],
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"same": [],
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"same": [],
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