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修改18280题面

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wangweiye7840 2023-12-11 16:37:36 +08:00
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commit dc1cd5d0cc
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题库0.3/Problems.json
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@ -488863,7 +488863,7 @@
},
"018280": {
"id": "018280",
"content": "如图, 正方形$ABCD$的边长等于 1, 连接这个正方形各边的中点得到一个小正方形$A_1B_1C_1D_1$; 又连接正方形$A_1B_1C_1D_1$各边的中点得到一个更小的正方形$A_2B_2C_2D_2$; 如此无限继续下去. 求所直这些正方形的周长的和与面积的和.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, line cap = round, line join = round, scale = 0.6]\n\\draw (0, 0) rectangle (4, 4);\n\\draw (0, 2) -- (2, 4) -- (4, 2) -- (2, 0) -- cycle;\n\\draw (1, 3) -- (3, 3) -- (3, 1) -- (1, 1) -- cycle;\n\\draw (2, 3) -- (3, 2) -- (2, 1) -- (1, 2) -- cycle;\n\\draw (0, 4) node [above left] {$A$} (4, 4) node [above right] {$B$} (4, 0) node [below right] {$C$} (0, 0) node [below left] {$D$};\n\\draw (2, 4) node [above] {$A_1$} (4, 2) node [right] {$B_1$} (2, 0) node [below] {$C_1$} (0, 2) node [left] {$D_1$};\n\\draw (3, 3) node [above right] {$A_2$} (3, 1) node [below right] {$B_2$} (1, 1) node [below left] {$C_2$} (1, 3) node [above left] {$D_2$};\n\\end{tikzpicture}\n\\end{center}",
"content": "如图, 正方形$ABCD$的边长等于 1, 连接这个正方形各边的中点得到一个小正方形$A_1B_1C_1D_1$; 又连接正方形$A_1B_1C_1D_1$各边的中点得到一个更小的正方形$A_2B_2C_2D_2$; 如此无限继续下去. 求所有这些正方形的周长的和与面积的和.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, line cap = round, line join = round, scale = 0.6]\n\\draw (0, 0) rectangle (4, 4);\n\\draw (0, 2) -- (2, 4) -- (4, 2) -- (2, 0) -- cycle;\n\\draw (1, 3) -- (3, 3) -- (3, 1) -- (1, 1) -- cycle;\n\\draw (2, 3) -- (3, 2) -- (2, 1) -- (1, 2) -- cycle;\n\\draw (0, 4) node [above left] {$A$} (4, 4) node [above right] {$B$} (4, 0) node [below right] {$C$} (0, 0) node [below left] {$D$};\n\\draw (2, 4) node [above] {$A_1$} (4, 2) node [right] {$B_1$} (2, 0) node [below] {$C_1$} (0, 2) node [left] {$D_1$};\n\\draw (3, 3) node [above right] {$A_2$} (3, 1) node [below right] {$B_2$} (1, 1) node [below left] {$C_2$} (1, 3) node [above left] {$D_2$};\n\\end{tikzpicture}\n\\end{center}",
"objs": [],
"tags": [
"第四单元"
@ -488875,7 +488875,8 @@
"usages": [],
"origin": "空中课堂选择性必修第一册数列例题与习题",
"edit": [
"20230704\t王伟叶"
"20230704\t王伟叶",
"20231211\t王伟叶"
],
"same": [],
"related": [],