diff --git a/工具/文本文件/批量题目分类号记录.txt b/工具/文本文件/批量题目分类号记录.txt
index c9dcd76a..9b5c7f9e 100644
--- a/工具/文本文件/批量题目分类号记录.txt
+++ b/工具/文本文件/批量题目分类号记录.txt
@@ -1,3 +1,50 @@
+20230905 2026届高一上学期周末卷测验卷与随堂练习
+problems_dict = {
+    "2026届高一上学期周末卷01": "022647:022659",
+    "2026届高一上学期测验卷01": "022660:022674",
+    "2026届高一上学期随堂练习卷01": "022675:022684"
+}
+
+
+20230905 2025届高一上学期周末卷与测验卷
+
+
+problems_dict = {
+    "2025届高一上学期周末卷01": "022139:022148",
+    "2025届高一上学期周末卷01小测": "022149:022152",
+    "2025届高一上学期周末卷02": "022153:022174",
+    "2025届高一上学期周末卷02小测": "022175:022180",
+    "2025届高一上学期周末卷03": "022181:022202",
+    "2025届高一上学期周末卷03小测": "022203:022210",
+    "2025届高一上学期周末卷04": "022211:022231",
+    "2025届高一上学期周末卷04小测": "022232:022237",
+    "2025届高一上学期周末卷05": "022238:022259",
+    "2025届高一上学期周末卷05小测": "022260:022265",
+    "2025届高一上学期周末卷06": "022266:022286",
+    "2025届高一上学期周末卷07": "022287:022312",
+    "2025届高一上学期周末卷07小测": "022313:022321",
+    "2025届高一上学期周末卷08": "022322:022348",
+    "2025届高一上学期周末卷08小测": "022349:022357",
+    "2025届高一上学期周末卷09": "022358:022383",
+    "2025届高一上学期周末卷09小测": "022384:022393",
+    "2025届高一上学期周末卷10": "022394:022418",
+    "2025届高一上学期周末卷12": "022419:022439",
+    "2025届高一上学期周末卷12小测": "022440:022447",
+    "2025届高一上学期周末卷13": "022448:022466",
+    "2025届高一上学期周末卷13小测": "022467:022475",
+    "2025届高一上学期周末卷14": "022476:022497",
+    "2025届高一上学期周末卷14小测": "022498:022506",
+    "2025届高一上学期周末卷15": "022507:022525",
+    "2025届高一上学期周末卷15小测": "022526:022533",
+    "2025届高一上学期周末卷16": "022534:022553",
+    "2025届高一上学期周末卷17": "022554:022573",
+    "2025届高一上学期周末卷19": "022574:022591",
+    "2025届高一上学期测验卷01": "022592:022607",
+    "2025届高一上学期测验卷02": "022608:022625",
+    "2025届高一上学期测验卷03": "022626:022646"
+}
+
+
 20230705 2026届高一上学期材料准备
 
 problems_dict = {
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index e3d7dfe5..4aee8ca4 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -577724,6 +577724,766 @@
         "space": "4em",
         "unrelated": []
     },
+    "022647": {
+        "id": "022647",
+        "content": "用列举法表示下列集合:\\\\\n(1) $A=\\{x | \\dfrac{10}{4-x}\\in \\mathbf{N}, x \\in \\mathbf{Z}\\}=$\\blank{50}.\\\\\n(2) $B=\\{(x, y) | x+y=4, x, y \\in \\mathbf{N}\\}=$\\blank{50}.\\\\\n(3) $C=\\{y | y=-x^2+2 x+3, x \\in \\mathbf{R}, y \\in \\mathbf{N}\\}=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期周末卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022648": {
+        "id": "022648",
+        "content": "用描述法表示下列集合:\\\\\n(1) 被 5 除余 2 的整数的集合为\\blank{50}.\\\\\n(2) 被 5 除余 2 的正整数的集合为\\blank{50}.\\\\\n(3) 平面直角坐标系内, 到原点距离为 3 的所有点组成的集合为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期周末卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022649": {
+        "id": "022649",
+        "content": "用区间表示下列集合:\\\\\n(1) 不等式 $1<2 x-1 \\leq 3$ 的解集为\\blank{50}.\\\\\n(2) 不等式 $-2 x<7$ 的解集为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期周末卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022650": {
+        "id": "022650",
+        "content": "在直角坐标系中用阴影图形表示下列集合:\\\\\n(1) $\\{(x, y)|| x |=2$ 且 $y=|x|\\}$;\\\\\n(2) $\\{(x, y) | 1<x<3$ 或 $1<y<2\\}$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, scale = 0.6]\n\\foreach \\i in {-3,-2,...,3}\n{\\draw [dashed, gray] (\\i,-4) -- (\\i,4) (-4,\\i) -- (4,\\i);};\n\\draw [->] (-4,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,-4) -- (0,4) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw (1,0) node [below] {$1$} (0,1) node [left] {$1$};\n\\end{tikzpicture}\\hspace*{3em}\n\\begin{tikzpicture}[>=latex, scale = 0.6]\n\\foreach \\i in {-3,-2,...,3}\n{\\draw [dashed, gray] (\\i,-4) -- (\\i,4) (-4,\\i) -- (4,\\i);};\n\\draw [->] (-4,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,-4) -- (0,4) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw (1,0) node [below] {$1$} (0,1) node [left] {$1$};\n\\end{tikzpicture}\n\\end{center}",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期周末卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "022651": {
+        "id": "022651",
+        "content": "已知 $A=\\{y | y=\\sqrt{x}-2, x \\geq 0\\}$, $B=\\{x | y=\\sqrt{-2 x+8}\\}$, 则集合 $A \\cap B=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期周末卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022652": {
+        "id": "022652",
+        "content": "已知 $A=[-3,2]$, $B=(-\\infty, a]$, 若 $A \\subset B$, 则实数 $a$ 的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期周末卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022653": {
+        "id": "022653",
+        "content": "满足关系式 $\\{a_1, a_2\\}\\subseteq A \\subset\\{a_1, a_2, a_3, a_4, a_5\\}$ 的集合 $A$ 的个数是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期周末卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022654": {
+        "id": "022654",
+        "content": "若集合 $P=\\{x, y, 1\\}$, $Q=\\{x^2, x y, x\\}$, 满足 $P=Q$, 实数 $x=$\\blank{50}, $y=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期周末卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022655": {
+        "id": "022655",
+        "content": "已知 $m$是常数.  $\\alpha:-1 \\leq x \\leq 3$, $\\beta: x \\leq m-1$, 若 $\\alpha \\Rightarrow \\beta$, 则实数 $m$ 的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期周末卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022656": {
+        "id": "022656",
+        "content": "设全集 $U=\\mathbf{R}$, 对集合 $A$、$B$ 定义:  $A-B=A \\cap \\overline{B}$, $A \\triangle B=(A-B) \\cup(B-A)$, 若集合 $A=\\{x | 1<x \\leq 5\\}$, $B=\\{x | 3 \\leq x \\leq 7\\}$, 则 $A \\triangle B=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期周末卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022657": {
+        "id": "022657",
+        "content": "设 $a$ 为实数, 且集合 $M=\\{x | a x^2+2 x+1=0\\}$ 的子集有且只有两个, 求满足上述条件 $a$ 所构成的集合.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期周末卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "022658": {
+        "id": "022658",
+        "content": "设 $m \\in \\mathbf{R}$, 已知集合 $A=\\{x | x^2-3 x+2=0\\}$, $B=\\{x | m x+1=0\\}$, 且 $B \\subseteq A$, 求 $m$ 的值.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期周末卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "022659": {
+        "id": "022659",
+        "content": "已知集合 $A=\\{x | x=3 k+1, k \\in \\mathbf{Z}\\}$, $B=\\{y | y=3 m+2, m \\in \\mathbf{Z}\\}$.\\\\\n(1) 求证: 任取 $x_0 \\in A$, $y_0 \\in B$, 总成立 $x_0 \\cdot y_0 \\in B$;\\\\\n(2) 若 $C=\\{z | z=x \\cdot y, x \\in A, y \\in B\\}$, 求证: $C=B$.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期周末卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "022660": {
+        "id": "022660",
+        "content": "集合 $A=\\{(x, y) | x^2+y=4, x \\in \\mathbf{N}, y \\in \\mathbf{N}\\}$, 用列举法表示 $A=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期测验卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022661": {
+        "id": "022661",
+        "content": "设常数 $a \\in \\mathbf{R}$, 集合 $A=\\{a, a^2\\}$, 集合 $B=\\{2 a\\}$, 且 $A \\cup B=A$, 则 $a$ 的值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期测验卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022662": {
+        "id": "022662",
+        "content": "设全集 $U=\\mathbf{R}$, 集合 $A=(0,2)$, $B=(-1,1)$, 则 $A \\cup \\overline{B}=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期测验卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022663": {
+        "id": "022663",
+        "content": "陈述句``$a=0$ 或 $b=0$''的否定形式为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期测验卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022664": {
+        "id": "022664",
+        "content": "满足 $\\{2,4,6\\}\\subseteq A \\subset\\{1,2,3,4,5,6\\}$ 的集合 $A$ 的个数为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期测验卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022665": {
+        "id": "022665",
+        "content": "已知集合 $A=\\{y | y=x^2-6 x+10, x \\in \\mathbf{R}\\}$, $B=\\{x | y=\\sqrt{10-2 x}\\}$, 则 $A \\cap B=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期测验卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022666": {
+        "id": "022666",
+        "content": "已知 $m$ 是实常数, 若 $\\alpha:-1 \\leq x \\leq 3$, $\\beta: m-1 \\leq x \\leq 2 m+5$, 且 $\\alpha$ 是 $\\beta$ 的充分条件, 则实数 $m$ 的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期测验卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022667": {
+        "id": "022667",
+        "content": "已知 $m$ 是实常数, 若集合 $A=\\{0,1\\}$, $B=\\{x | x^2-m x-m>0, x \\in \\mathbf{R}\\}$, 且 $A \\cap B=\\{1\\}$, 则实数 $m$ 的取值范围为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期测验卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022668": {
+        "id": "022668",
+        "content": "在下列陈述句: \\textcircled{1} $a<0$ 或 $b<0$; \\textcircled{2} $a<0$ 且 $b<1$; \\textcircled{3} $a<-1$ 且 $b<0$; \\textcircled{4} $a<0$ 或 $b<-1$ 中, 能成为``$a<0$ 且 $b<0$'' 的必要非充分条件是\\blank{50}(填正确的序号).",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期测验卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022669": {
+        "id": "022669",
+        "content": "已知 $a$ 为实常数, 集合 $A=[1,4]$, $B=\\{x | a \\leq x \\leq 2 a+1\\}$, 且 $A \\cap B \\neq \\varnothing$, 则实数 $a$ 的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期测验卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022670": {
+        "id": "022670",
+        "content": "以下几个关系中正确的是\\bracket{20}.\n\\fourch{$0 \\in \\varnothing$}{$\\varnothing \\in\\{x | x^2+1=0\\}$}{$\\varnothing \\subset\\{0\\}$}{$A\\cap B\\subset A\\cup B$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期测验卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022671": {
+        "id": "022671",
+        "content": "``任意 $c \\in \\mathbf{R}$, 都有 $a c=b c$''是``$a=b$''的\\bracket{20}.\n\\twoch{充分不必要条件}{必要不充分条件}{充要条件}{既不充分又不必要条件}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期测验卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022672": {
+        "id": "022672",
+        "content": "命题``对任意的 $x \\in \\mathbf{R}$, 恒有 $x^3-x^2+1 \\leq 0$''的否定是\\bracket{20}.\n\\twoch{不存在 $x \\in \\mathbf{R}$, 使得 $x^3-x^2+1 \\leq 0$}{存在 $x \\in \\mathbf{R}$, 使得 $x^3-x^2+1 \\leq 0$}{存在 $x \\in \\mathbf{R}$, 使得 $x^3-x^2+1>0$}{对任意 $x \\in \\mathbf{R}$, 恒有 $x^3-x^2+1>0$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期测验卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022673": {
+        "id": "022673",
+        "content": "设 $a \\in \\mathbf{R}$, $b \\in \\mathbf{R}$, 集合 $A=\\{x | x^2-x=0\\}$, $B=\\{x | x^2+a x+b=0\\}$. 若 $B \\neq \\varnothing, B \\subseteq A$, 求 $a, b$ 的值.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期测验卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "022674": {
+        "id": "022674",
+        "content": "已知实数 $x_1, x_2, x_3, x_4, x_5$ 满足 $x_1+x_2+x_3+x_4+x_5=5$.\\\\\n(1) 求证: $x_1, x_2, x_3, x_4, x_5$ 中至少有一个不小于 $1$;\\\\\n(2) 若 $x_1, x_2, x_3, x_4, x_5$ 均为非零整数, 求 $\\dfrac{1}{x_1}+\\dfrac{1}{x_2}+\\dfrac{1}{x_3}+\\dfrac{1}{x_4}+\\dfrac{1}{x_5}$ 的最大值;\\\\\n(3) 设 $x_1, x_2, x_3, x_4, x_5$ 这五个实数两两不等, 集合 $A=\\{x_1, x_2, x_3, x_4, x_5\\}$. 若 $B \\neq \\varnothing$, 且 $B \\subseteq A$, 记 $G(B)$ 是 $B$ 中所有元素之和, 对所有的 $B$, 求 $G(B)$ 的平均值.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期测验卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "022675": {
+        "id": "022675",
+        "content": "数集 $\\{a, a^2-a\\}$ 中 $a$ 的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期随堂练习卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022676": {
+        "id": "022676",
+        "content": "设集合 $A=\\{x | x>2\\}$, $B=\\{x | x<a\\}$, 若 $A \\cup B=\\mathbf{R}$ , 则实数 $a$ 的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期随堂练习卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022677": {
+        "id": "022677",
+        "content": "若全集 $U=\\mathbf{R}$, $A=(1,3)$, $B=$($-\\infty,-1] \\cup[2,+\\infty$), 则 $A \\cup \\overline{B}=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期随堂练习卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022678": {
+        "id": "022678",
+        "content": "已知集合 $A=\\{x | x^2=1\\}$, $B=\\{x | a x-1=0\\}$, 若 $B \\subseteq A$, 则实数 $a=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期随堂练习卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022679": {
+        "id": "022679",
+        "content": "满足 $\\{0,1\\}\\subset A \\subseteq\\{0,1,2,3,4,5\\}$ 的集合 $A$ 的个数为\\blank{50}个.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期随堂练习卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022680": {
+        "id": "022680",
+        "content": "已知集合 $A=\\{(x, y) | y^2=a x+b\\}$, $B=\\{(x, y) | x^2-a y-b=0\\}$ , 若 $(1,2) \\in A \\cap B$ , 则 $a=$\\blank{50}, \n$b=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期随堂练习卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022681": {
+        "id": "022681",
+        "content": "已知集合 $A=\\{y | y=x^2+1\\}$, $B=\\{y | y=-2 x^2+4 x-6\\}$, 则 $A \\cup B=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期随堂练习卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022682": {
+        "id": "022682",
+        "content": "已知全集 $U=\\{2,3, a^2+2 a-3\\}$, $A=\\{|a+1|, 2\\}$, $\\overline{A}=\\{a+3\\}$, 则实数 $a=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期随堂练习卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022683": {
+        "id": "022683",
+        "content": "设集合 $A=\\{x | x^2+4 x=0\\}$, $B=\\{x | x^2+2(a+1) x+a^2-1=0\\}$, 若 $A \\cap B=B$ , 则实数 $a$ 的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期随堂练习卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022684": {
+        "id": "022684",
+        "content": "已知命题 $p$ : 关于 $x$ 的不等式 $m x-1 \\geq 0$ 的解集为 $A$ , 且 $\\dfrac{1}{2}\\in A$; 命题 $q$ :关于 $x$ 的方程 $x^2-2 x+m=0$ 有两个不相等的实数根. 若命题 $p$ 和命题 $q$ 中至少有一个真命题, 则实数 $m$ 的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2026届高一上学期随堂练习卷01",
+        "edit": [
+            "20230905\t朱敏慧"
+        ],
+        "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.",