From 61ad3e5988947fb9d101a92878205a60be535f00 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Mon, 25 Mar 2024 16:26:34 +0800 Subject: [PATCH] =?UTF-8?q?=E4=BF=AE=E6=94=B924748=E9=A2=98=E9=9D=A2?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 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 2b4b5127..c0ff754b 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -688922,7 +688922,7 @@ }, "024748": { "id": "024748", - "content": "如图, 圆心在$O$处, 半径为$1$, 圆心角为$\\dfrac{\\pi}{2}$的扇形以直线$OP$为对称轴($P$在圆弧上). 设$A,B,A',B'$是扇形边界上的四点, 其中$A,A'$在扇形的两条半径上, $B,B'$在圆弧上, $AB\\parallel OP$, $AA'\\perp OP$, $BB'\\perp OP$. 用$\\theta = \\angle BOP$表示矩形$AA'B'A$的面积, 并求面积的最大值.", + "content": "如图, 圆心在$O$处, 半径为$1$, 圆心角为$\\dfrac{\\pi}{2}$的扇形以直线$OP$为对称轴($P$在圆弧上). 设$A,B,A',B'$是扇形边界上的四点, 其中$A,A'$在扇形的两条半径上, $B,B'$在圆弧上, $AB\\parallel OP$, $AA'\\perp OP$, $BB'\\perp OP$. 用$\\theta = \\angle BOP$表示矩形$AA'B'B$的面积, 并求面积的最大值.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) -- (2,0) arc (0:90:2) -- cycle;\n\\draw (0,0) node [below] {$O$} coordinate (O) (45:2) node [right] {$P$} coordinate (P);\n\\draw [dashed] ($(O)!-0.2!(P)$) -- ($(O)!1.2!(P)$);\n\\draw (30:2) node [right] {$B$} coordinate (B) (60:2) node [above] {$B'$} coordinate (B');\n\\draw ({sin(15)/sin(45)*2},0) node [below] {$A$} coordinate (A) (0,{sin(15)/sin(45)*2}) node [left] {$A'$} coordinate (A');\n\\draw (A)--(B)--(B')--(A')--cycle;\n\\draw [dashed] (O)--(B);\n\\end{tikzpicture}\n\\end{center}", "objs": [], "tags": [], "genre": "解答题", @@ -688932,7 +688932,8 @@ "usages": [], "origin": "自拟题目", "edit": [ - "20240325\t赵琍琍" + "20240325\t赵琍琍", + "20240325\t王伟叶" ], "same": [], "related": [],