diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 331d0c20..ff312cd1 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -156616,7 +156616,9 @@
             "20220720\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "023400"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -351620,7 +351622,8 @@
         ],
         "same": [],
         "related": [
-            "022803"
+            "022803",
+            "023395"
         ],
         "remark": "",
         "space": "",
@@ -598722,7 +598725,9 @@
             "20230905\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "023389"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -625445,6 +625450,352 @@
         "space": "4em",
         "unrelated": []
     },
+    "023389": {
+        "id": "023389",
+        "content": "不等式 $|x-2|+|x+1|>4$ 的解集是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "same": [],
+        "related": [
+            "022317"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023390": {
+        "id": "023390",
+        "content": "关于 $x$ 的不等式 $\\begin{cases}x \\leq 2 a,\\\\3 x+4>5 a\\end{cases}$ 有解, 则实数 $a$ 的取值范围为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023391": {
+        "id": "023391",
+        "content": "已知 $-3<x<2$ 且 $x \\neq 0$, 则 $\\dfrac{1}{x}$ 的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023392": {
+        "id": "023392",
+        "content": "以下命题中正确的有\\blank{50}(填写你认为正确的所有编号)\\\\\n\\textcircled{1} 若 $a>b$, 则 $a c^2>b c^2$;\\\\\n\\textcircled{2} 若 $a c^2>b c^2$, 则 $a>b$;\\\\\n\\textcircled{3} 若 $a<b$ 则 $\\dfrac{1}{a}>\\dfrac{1}{b}$;\\\\\n\\textcircled{4} 若 $a<b<0$, $c<d<0$ 则 $a c>b d$.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023393": {
+        "id": "023393",
+        "content": "已知不等式 $x^2-2 x-3<0$ 的解集为 $A$, $x^2+x-6<0$ 的解集为 $B$, 不等式 $x^2+a x+b<0$ 的解集为 $A \\cap B$, 则 $a+b=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023394": {
+        "id": "023394",
+        "content": "已知 $a \\in \\mathbf{R}$, 若不等式 $(a-2) x^2+2(a-2) x-4<0$ 对一切 $x \\in \\mathbf{R}$ 成立, 则 $a$ 的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023395": {
+        "id": "023395",
+        "content": "设 $x>\\dfrac{1}{2}$, 则函数 $y=x+\\dfrac{8}{2 x-1}$ 的最小值是\\blank{50}, 此时 $x=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "same": [],
+        "related": [
+            "012658"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023396": {
+        "id": "023396",
+        "content": "已知关于 $x$ 的一元二次方程 $x^2-m x+m+1=0$ 的两个实数根为 $x_1, x_2$, 且 $x_1^2+x_2^2=1$, 则实数 $m$ 的值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023397": {
+        "id": "023397",
+        "content": "已知 $a>b>c$, 求证: $\\dfrac{1}{a-b}+\\dfrac{1}{b-c}+\\dfrac{1}{c-a}>0$.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "023398": {
+        "id": "023398",
+        "content": "已知 $a, b \\in \\mathbf{R}$, 求证: $|a-b| \\geq|a|-|b|$.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "023399": {
+        "id": "023399",
+        "content": "已知关于 $x$ 的方程 $x^2+(m-3) x+m=0$.\\\\\n(1) 若该方程有两个不同的正数根, 求实数 $m$ 的集合\\\\\n(2) 若该方程有一个正数根和一个负数根, 求实数 $m$ 的集合.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "023400": {
+        "id": "023400",
+        "content": "如果不等式 $a x^2+b x+c>0$ 的解集是 $(\\alpha, \\beta)$($0<\\alpha<\\beta$), 那么不等式 $c x^2+b x+a<0$的解集为\\bracket{20}.\n\\twoch{$(\\dfrac{1}{\\beta}, \\dfrac{1}{\\alpha})$}{$(-\\dfrac{1}{\\alpha},-\\dfrac{1}{\\beta})$}{$(-\\infty, \\dfrac{1}{\\beta}) \\cup(\\dfrac{1}{\\alpha},+\\infty)$}{$(-\\infty,-\\dfrac{1}{\\alpha}) \\cup(-\\dfrac{1}{\\beta},+\\infty$)}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "same": [],
+        "related": [
+            "005159"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023401": {
+        "id": "023401",
+        "content": "若关于 $x$ 的不等式 $|x-1|+|x-2| \\leq a^2+a+1$ 的解集是空集, 则实数 $a$ 的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023402": {
+        "id": "023402",
+        "content": "已知 $x, y>0$, $x y=x+y+1$, 则 $x+y$ 的最小值是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023403": {
+        "id": "023403",
+        "content": "设关于 $x$ 的不等式 $a x^2-(a+2) x+2>0$ 的解集为 $A$.\\\\\n(1) 求集合 $A$;\\\\\n(2) 是否存在实数 $a$, 使 $A \\cap\\{x | \\dfrac{1}{x}<1\\}\\cap \\mathbf{Z}$ 是单元素集合? 如果存在, 求实数 $a$ 的取值范围; 如果不存在, 说明理由.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "023404": {
+        "id": "023404",
+        "content": "设 $a>b>0$, 则 $a^2+\\dfrac{1}{a b}+\\dfrac{1}{a(a-b)}$ 的最小值是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023405": {
+        "id": "023405",
+        "content": "已知 $P=\\{x | x^2-x-2>0\\}$, $Q=\\{x | x^2+4 x+m<0\\}$, 若 $Q \\subseteq P$, 则实数 $m$ 的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "26届寒假作业补充题目",
+        "edit": [
+            "20240108\t王伟叶"
+        ],
+        "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.",