diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index d21d1330..baa797f6 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -617271,6 +617271,166 @@
         "space": "",
         "unrelated": []
     },
+    "023033": {
+        "id": "023033",
+        "content": "函数 $f(x)=\\sqrt{1-x}+\\dfrac{2}{x}$ 的定义域为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "24届赋能补充题目",
+        "edit": [
+            "20240105\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023034": {
+        "id": "023034",
+        "content": "设 $\\alpha \\in\\{\\dfrac{1}{3}, \\dfrac{1}{2},-1,-2,3\\}$, 若 $f(x)=x^\\alpha$ 为偶函数, 则 $\\alpha=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "24届赋能补充题目",
+        "edit": [
+            "20240105\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023035": {
+        "id": "023035",
+        "content": "已知复数 $z$ 满足 $(1+\\mathrm{i}) \\cdot z=4 \\mathrm{i}$ ($\\mathrm{i}$ 为虚数单位), 则 $z$ 的模为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "24届赋能补充题目",
+        "edit": [
+            "20240105\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023036": {
+        "id": "023036",
+        "content": "若一个球的体积是其半径的 $\\dfrac{4}{3}$ 倍, 则该球的表面积为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "24届赋能补充题目",
+        "edit": [
+            "20240105\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023037": {
+        "id": "023037",
+        "content": "在一个袋中装有大小、质地均相同的 9 只球, 其中红色、黑色、白色各 3 只, 若从袋中随机取出两只球, 则至少有一只红球的概率为\\blank{50}(结果用最简分数表示).",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "24届赋能补充题目",
+        "edit": [
+            "20240105\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023038": {
+        "id": "023038",
+        "content": "设 $a>0$ 且 $a \\neq 1$, 若 $\\log _a(\\sin x-\\cos x)=0$, 则 $\\sin ^4 x+\\cos ^4 x=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "24届赋能补充题目",
+        "edit": [
+            "20240105\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023039": {
+        "id": "023039",
+        "content": "下列关于双曲线 $\\Gamma: \\dfrac{x^2}{6}-\\dfrac{y^2}{3}=1$ 的判断, 正确的是 \\bracket{20}.\n\\twoch{渐近线方程为 $x \\pm 2 y=0$}{焦点坐标为 $(3,0)$、$(-3,0)$}{实轴长为 $12$}{顶点坐标为 $(6,0)$ 、 $(-6,0)$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "24届赋能补充题目",
+        "edit": [
+            "20240105\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023040": {
+        "id": "023040",
+        "content": "函数 $y=2 \\cos (2 x+\\dfrac{\\pi}{4})$ 的图像\\bracket{20}.\n\\twoch{关于原点对称}{关于点 $(-\\dfrac{3 \\pi}{8}, 0)$ 对称}{关于 $y$ 轴对称}{关于直线 $x=\\dfrac{\\pi}{4}$ 对称}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "24届赋能补充题目",
+        "edit": [
+            "20240105\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "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.",