diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index d8c64777..4381882f 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -549272,7 +549272,7 @@
     },
     "021029": {
         "id": "021029",
-        "content": "如图, 已知$OA$是球$O$的半径, $OA=5, O_2$是$OA$上的两点, 平面$\\alpha$、$\\beta$分别通过点$O_2$, 且垂直于$OA$, 截得圆$O_1$和圆$O_2$, 当圆$O_1$、圆$O_2$的面积分别为$9 \\pi$、$21 \\pi$时, 求$O_1O_2$的长.\n\\begin{center}\n\\begin{tikzpicture}[>=latex,scale = 0.4]\n\\filldraw (0,0) circle (0.05) node [below] {$O$};\n\\filldraw (0,5) circle (0.05) node [above] {$A$};\n\\filldraw (0,2) circle (0.05) node [right] {$O_2$};\n\\filldraw (0,4) circle (0.05) node [right] {$O_1$};\n\\draw (0,0) circle (5);\n\\draw [dashed] ({-sqrt(21)},2) arc (180:0:{sqrt(21)} and {sqrt(21)/4});\n\\draw ({-sqrt(21)},2) arc (180:360:{sqrt(21)} and {sqrt(21)/4});\n\\draw [dashed] (-3,4) arc (180:0:3 and {3/4});\n\\draw (-3,4) arc (180:360:3 and {3/4});\n\\draw [dashed] (0,0) -- (0,5);\n\\end{tikzpicture}\n\\end{center}",
+        "content": "如图, 已知$OA$是球$O$的半径, $OA=5$, $O_1$与$O_2$是$OA$上的两点, 平面$\\alpha$、$\\beta$分别通过点$O_2$, 且垂直于$OA$, 截得圆$O_1$和圆$O_2$, 当圆$O_1$、圆$O_2$的面积分别为$9 \\pi$、$21 \\pi$时, 求$O_1O_2$的长.\n\\begin{center}\n\\begin{tikzpicture}[>=latex,scale = 0.4]\n\\filldraw (0,0) circle (0.05) node [below] {$O$};\n\\filldraw (0,5) circle (0.05) node [above] {$A$};\n\\filldraw (0,2) circle (0.05) node [right] {$O_2$};\n\\filldraw (0,4) circle (0.05) node [right] {$O_1$};\n\\draw (0,0) circle (5);\n\\draw [dashed] ({-sqrt(21)},2) arc (180:0:{sqrt(21)} and {sqrt(21)/4});\n\\draw ({-sqrt(21)},2) arc (180:360:{sqrt(21)} and {sqrt(21)/4});\n\\draw [dashed] (-3,4) arc (180:0:3 and {3/4});\n\\draw (-3,4) arc (180:360:3 and {3/4});\n\\draw [dashed] (0,0) -- (0,5);\n\\end{tikzpicture}\n\\end{center}",
         "objs": [],
         "tags": [
             "第六单元"
@@ -549284,7 +549284,8 @@
         "usages": [],
         "origin": "2024届高二校本作业必修第十一章",
         "edit": [
-            "20230101\t王伟叶"
+            "20230101\t王伟叶",
+            "20231102\t王伟叶"
         ],
         "same": [],
         "related": [],