diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index c2632049..87de915b 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -447364,7 +447364,7 @@ }, "017268": { "id": "017268", - "content": "中国的古建筑不仅是挡风遮雨的住处, 更是美学和哲学的体现. 如图是某古建筑物的剖面图, 其中$DD_1$, $CC_1$, $BB_1$, $AA_1$是举, $OD_1$, $DC_1$, $CB_1$, $BA_1$是相等的步, 相邻桁的举步之比分别为$\\dfrac{DD_1}{OD_1}=0.5$, $\\dfrac{CC_1}{DC_1}=k_1$, $\\dfrac{BB_1}{CB_1}=k_2$, $\\dfrac{AA_1}{BA_1}=k_3$, 已知$k_1, k_2, k_3$成公差为$0.1$的等差数列, 且直线$OA$的斜率为$0.725$, 则$k_3=$\\bracket{20}.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw [->] (-0.5,0) -- (9.5,0) node [below] {$x$};\n\\draw [->] (0,-0.5) -- (0,3.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw (1,0) node [below] {$D_1$} coordinate (D_1);\n\\draw (D_1) ++ (0,0.5) node [below right] {$D$} coordinate (D);\n\\draw (D) ++ (1,0) node [below] {$C_1$} coordinate (C_1);\n\\draw (C_1) ++ (0,0.7) node [below right] {$C$} coordinate (C);\n\\draw (C) ++ (1,0) node [below] {$B_1$} coordinate (B_1);\n\\draw (B_1) ++ (0,0.8) node [below right] {$B$} coordinate (B);\n\\draw (B) ++ (1,0) node [below] {$A_1$} coordinate (A_1);\n\\draw (A_1) ++ (0,0.9) node [above] {$A$} coordinate (A);\n\\draw (D_1)--(D) (C_1)--(C) (B_1)--(B) (A_1) -- (A);\n\\draw (D) --++ (6,0) coordinate (D_2) (C) --++ (4,0) coordinate (C_2) (B) --++ (2,0) coordinate (B_2);\n\\draw (B_2) --++ (0,-0.8) (C_2) --++ (0,-0.7) (D_2) --++ (0,-0.5);\n\\draw (O)--(D)--(C)--(B)--(A)--(B_2)--(C_2)--(D_2)--(8,0);\n\\draw [dashed] (O)--(A);\n\\end{tikzpicture}\n\\end{center}\n\\fourch{$0.75$}{$0.8$}{$0.85$}{$0.9$}", + "content": "中国的古建筑不仅是挡风遮雨的住处, 更是美学和哲学的体现. 如图是某古建筑物的剖面图, 其中$DD_1$, $CC_1$, $BB_1$, $AA_1$是举, $OD_1$, $DC_1$, $CB_1$, $BA_1$是相等的步, 相邻桁的举步之比分别为$\\dfrac{DD_1}{OD_1}=0.5$, $\\dfrac{CC_1}{DC_1}=k_1$, $\\dfrac{BB_1}{CB_1}=k_2$, $\\dfrac{AA_1}{BA_1}=k_3$, 已知$k_1, k_2, k_3$成公差为$0.1$的等差数列, 且直线$OA$的斜率为$0.725$, 则$k_3=$\\bracket{20}.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw [->] (-0.5,0) -- (9.5,0) node [below] {$x$};\n\\draw [->] (0,-0.5) -- (0,3.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$} coordinate (O);\n\\draw (1,0) node [below] {$D_1$} coordinate (D_1);\n\\draw (D_1) ++ (0,0.5) node [below right] {$D$} coordinate (D);\n\\draw (D) ++ (1,0) node [below] {$C_1$} coordinate (C_1);\n\\draw (C_1) ++ (0,0.7) node [below right] {$C$} coordinate (C);\n\\draw (C) ++ (1,0) node [below] {$B_1$} coordinate (B_1);\n\\draw (B_1) ++ (0,0.8) node [below right] {$B$} coordinate (B);\n\\draw (B) ++ (1,0) node [below] {$A_1$} coordinate (A_1);\n\\draw (A_1) ++ (0,0.9) node [above] {$A$} coordinate (A);\n\\draw (D_1)--(D) (C_1)--(C) (B_1)--(B) (A_1) -- (A);\n\\draw (D) --++ (6,0) coordinate (D_2) (C) --++ (4,0) coordinate (C_2) (B) --++ (2,0) coordinate (B_2);\n\\draw (B_2) --++ (0,-0.8) (C_2) --++ (0,-0.7) (D_2) --++ (0,-0.5);\n\\draw (O)--(D)--(C)--(B)--(A)--(B_2)--(C_2)--(D_2)--(8,0);\n\\draw [dashed] (O)--(A);\n\\end{tikzpicture}\n\\end{center}\n\\fourch{$0.75$}{$0.8$}{$0.85$}{$0.9$}", "objs": [], "tags": [], "genre": "选择题", @@ -447374,7 +447374,8 @@ "usages": [], "origin": "2022届全国高考新高考II卷试题3", "edit": [ - "20230531\t王伟叶" + "20230531\t王伟叶", + "20230624\t王伟叶" ], "same": [], "related": [],