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修改000177的阴影, 更容易看到

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weiye.wang 2023-07-27 20:03:39 +08:00
parent d826e0d155
commit 78247e4819
1 changed files with 3 additions and 2 deletions
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题库0.3/Problems.json
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@ -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": [],