diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index cb3a4d5d..ffd73eba 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -584606,7 +584606,9 @@
             "20230209\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024594"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -667164,6 +667166,31 @@
         "space": "4em",
         "unrelated": []
     },
+    "024594": {
+        "id": "024594",
+        "content": "根据下列条件, 分别写出角$x$的集合:\\\\\n(1) $\\sin x=\\dfrac{\\sqrt{2}}{2}$, $x$的集合为\\blank{100};\\\\\n(2) $\\cos x=-\\dfrac{1}{2}$, $x$的集合为\\blank{100};\\\\\n(3) $\\cot x=-\\sqrt{3}$, $x$的集合为\\blank{100};\\\\\n(4) $\\sin (x-\\dfrac{2 \\pi}{3})=\\dfrac{1}{2}$, $x$的集合为\\blank{100};\\\\\n(5) $\\cos (5 x+\\dfrac{\\pi}{4})=-\\dfrac{\\sqrt{3}}{2}$, $x$的集合为\\blank{100};\\\\\n(6) $\\sin (\\dfrac{4 x+7 \\pi}{2})=\\dfrac{\\sqrt{2}}{2}$, $x$的集合为\\blank{100}.",
+        "objs": [],
+        "tags": [
+            "第三单元"
+        ],
+        "genre": "",
+        "ans": "(1)  $\\{x | x=k \\pi+ (-1)^k \\cdot \\dfrac{\\pi}{4},\\ k \\in \\mathbf{Z}\\}$;\\\\\n(2) $\\{x | x=2k \\pi \\pm  \\dfrac{2\\pi}{3},\\ k \\in \\mathbf{Z}\\}$;\\\\\n(3) $\\{x | x=k \\pi +  \\dfrac{5\\pi}{6},\\ k \\in \\mathbf{Z}\\}$;\\\\\n(4) $\\{x | x=2k \\pi +  \\dfrac{5\\pi}{6}$ 或$x=2k \\pi + \\dfrac{3\\pi}{2} ,\\ k \\in \\mathbf{Z}\\}$;\\\\\n第二种写法: $\\{x | x=k \\pi+ (-1)^k \\cdot \\dfrac{\\pi}{6}+\\dfrac{2\\pi}{3},\\ k \\in \\mathbf{Z}\\}$;\\\\\n(5)  $\\{x | x=\\dfrac{2k \\pi}{5} +  \\dfrac{7\\pi}{60}$ 或$ x=\\dfrac{2k \\pi}{5} - \\dfrac{13\\pi}{60} ,\\ k \\in \\mathbf{Z}\\}$;\\\\\n(6)  $\\{x | x=k \\pi - \\dfrac{5\\pi}{8}$ 或$x=k \\pi -  \\dfrac{3\\pi}{8} ,\\ k \\in \\mathbf{Z}\\}$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下校本作业-20240219修改",
+        "edit": [
+            "20230209\t王伟叶",
+            "20240219\t王伟叶"
+        ],
+        "same": [],
+        "related": [
+            "021529"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
     "030001": {
         "id": "030001",
         "content": "若$x,y,z$都是实数, 则:(填写``\\textcircled{1} 充分非必要、\\textcircled{2} 必要非充分、\\textcircled{3} 充要、\\textcircled{4} 既非充分又非必要''之一)\\\\\n(1) ``$xy=0$''是``$x=0$''的\\blank{50}条件;\\\\\n(2) ``$x\\cdot y=y\\cdot z$''是``$x=z$''的\\blank{50}条件;\\\\\n(3) ``$\\dfrac xy=\\dfrac yz$''是``$xz=y^2$''的\\blank{50}条件;\\\\\n(4) ``$|x |>| y|$''是``$x>y>0$''的\\blank{50}条件;\\\\\n(5) ``$x^2>4$''是``$x>2$'' 的\\blank{50}条件;\\\\\n(6) ``$x=-3$''是``$x^2+x-6=0$'' 的\\blank{50}条件;\\\\\n(7) ``$|x+y|<2$''是``$|x|<1$且$|y|<1$'' 的\\blank{50}条件;\\\\\n(8) ``$|x|<3$''是``$x^2<9$'' 的\\blank{50}条件;\\\\\n(9) ``$x^2+y^2>0$''是``$x\\ne 0$'' 的\\blank{50}条件;\\\\\n(10) ``$\\dfrac{x^2+x+1}{3x+2}<0$''是``$3x+2<0$'' 的\\blank{50}条件;\\\\\n(11) ``$0<x<3$''是``$|x-1|<2$'' 的\\blank{50}条件.",