From 78247e4819f9ac5197b61a6ddef4bda6568b6424 Mon Sep 17 00:00:00 2001
From: "weiye.wang" <kj_wangweiye@126.com>
Date: Thu, 27 Jul 2023 20:03:39 +0800
Subject: [PATCH] =?UTF-8?q?=E4=BF=AE=E6=94=B9000177=E7=9A=84=E9=98=B4?=
 =?UTF-8?q?=E5=BD=B1,=20=E6=9B=B4=E5=AE=B9=E6=98=93=E7=9C=8B=E5=88=B0?=
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---
 题库0.3/Problems.json | 5 +++--
 1 file changed, 3 insertions(+), 2 deletions(-)

diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 372a9eb2..6ea8c396 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -4868,7 +4868,7 @@
     },
     "000177": {
         "id": "000177",
-        "content": "如图, 正方体的棱长是$a$, 点$E$、$F$分别是两条棱的中点.\n\\begin{center}\n    \\begin{tikzpicture}[thick]\n        \\path (0,0) node [below left] {$A$} coordinate (A) --++ (2.5,0) node [below right] {$B$} coordinate (B) --++ (45:{2.5/2}) node [right] {$C$} coordinate (C)\n        --++ (0,2.5) node [above right] {$C_1$} coordinate (C1)\n        --++ (-2.5,0) node [above left] {$D_1$} coordinate (D1) --++ (225:{2.5/2}) node [left] {$A_1$} coordinate (A1) -- cycle;\n        \\path (A) ++ (2.5,2.5) node [right] {$B_1$} coordinate (B1) -- (B) (B1) --++ (45:{2.5/2}) (B1) --++ (-2.5,0);\n        \\path [dashed] (A) --++ (45:{2.5/2}) node [left] {$D$} coordinate (D) --++ (2.5,0) (D) --++ (0,2.5);\n        \\draw ($(A1)!0.5!(D1)$) node [above left] {$E$} coordinate (E) ($(A1)!0.5!(B1)$) node [above] {$F$} coordinate (F);\n        \\fill [gray!30] (B) -- (D) -- (E) -- (F);\n        \\draw (B) -- (F) -- (E);\n        \\draw [dashed] (B) -- (D) -- (E) (D) -- (C) (D) -- (A) (D) -- (D1);\n        \\draw (A) -- (B) -- (C) -- (C1) -- (D1) -- (A1) -- (A) (B1) -- (A1) (B1) -- (C1) (B1) -- (B);\n    \\end{tikzpicture}\n\\end{center}\n(1) 求证: 四边形$BDEF$(图中阴影部分)是一个梯形;\\\\\n(2) 求四边形$BDEF$的面积.",
+        "content": "如图, 正方体的棱长是$a$, 点$E$、$F$分别是两条棱的中点.\n\\begin{center}\n    \\begin{tikzpicture}[thick]\n        \\path (0,0) node [below left] {$A$} coordinate (A) --++ (2.5,0) node [below right] {$B$} coordinate (B) --++ (45:{2.5/2}) node [right] {$C$} coordinate (C)\n        --++ (0,2.5) node [above right] {$C_1$} coordinate (C1)\n        --++ (-2.5,0) node [above left] {$D_1$} coordinate (D1) --++ (225:{2.5/2}) node [left] {$A_1$} coordinate (A1) -- cycle;\n        \\path (A) ++ (2.5,2.5) node [right] {$B_1$} coordinate (B1) -- (B) (B1) --++ (45:{2.5/2}) (B1) --++ (-2.5,0);\n        \\path [dashed] (A) --++ (45:{2.5/2}) node [left] {$D$} coordinate (D) --++ (2.5,0) (D) --++ (0,2.5);\n        \\draw ($(A1)!0.5!(D1)$) node [above left] {$E$} coordinate (E) ($(A1)!0.5!(B1)$) node [above] {$F$} coordinate (F);\n        \\fill [pattern = north east lines] (B) -- (D) -- (E) -- (F);\n        \\draw (B) -- (F) -- (E);\n        \\draw [dashed] (B) -- (D) -- (E) (D) -- (C) (D) -- (A) (D) -- (D1);\n        \\draw (A) -- (B) -- (C) -- (C1) -- (D1) -- (A1) -- (A) (B1) -- (A1) (B1) -- (C1) (B1) -- (B);\n    \\end{tikzpicture}\n\\end{center}\n(1) 求证: 四边形$BDEF$(图中阴影部分)是一个梯形;\\\\\n(2) 求四边形$BDEF$的面积.",
         "objs": [
             "K0605003B",
             "K0602003B"
@@ -4883,7 +4883,8 @@
         "usages": [],
         "origin": "教材复习题",
         "edit": [
-            "20220624\t王伟叶, 余利成"
+            "20220624\t王伟叶, 余利成",
+            "20230727\t毛培菁"
         ],
         "same": [],
         "related": [],