diff --git a/备课组/24届/校本材料.json b/备课组/24届/校本材料.json
index 1fbf525e..09e722e5 100644
--- a/备课组/24届/校本材料.json
+++ b/备课组/24届/校本材料.json
@@ -3830,7 +3830,17 @@
             "id": "V20240530",
             "name": "第8天第2练(向量的数量积及坐标表示)",
             "filename": "第8天第2练(向量的数量积及坐标表示)",
-            "problems": []
+            "problems": [
+                "023856",
+                "023857",
+                "023858",
+                "023859",
+                "023860",
+                "023861",
+                "023862",
+                "023863",
+                "023864"
+            ]
         },
         "V20240531": {
             "id": "V20240531",