收录高三寒假作业18新题

工具v2/文本文件/新题收录列表.txt

@@ -52,3 +52,6 @@
 20240125-102759
 013655,023747:023755
 
+20240125-103242
+023756:023762,017215,023763
+

题库0.3/Problems.json

@@ -295574,7 +295574,9 @@
             "20220806\t王伟叶"
         ],
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+        "related": [
+            "023759"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -504068,7 +504070,9 @@
             "20230706\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "023760"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -522394,7 +522398,9 @@
             "20230730\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "023760"
+        ],
         "remark": "",
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         "unrelated": []
@@ -528036,7 +528042,8 @@
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             "023279",
-            "023320"
+            "023320",
+            "023762"
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         "space": "",
@@ -568543,7 +568550,9 @@
             "20230101\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "023756"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -615259,7 +615268,9 @@
             "20231109\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "023760"
+        ],
         "remark": "",
         "space": "",
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@@ -630093,7 +630104,8 @@
         "related": [
             "019851",
             "017154",
-            "014629"
+            "014629",
+            "023762"
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@@ -641473,6 +641485,177 @@
         "space": "4em",
         "unrelated": []
     },
+    "023756": {
+        "id": "023756",
+        "content": "为了了解某市高三毕业生升学考试中数学成绩的情况, 从参加考试的学生中随机地抽查了 $1000$ 名学生的数学成绩进行统计分析, 在这个问题中, 下列说法中正确的是\\bracket{20}.\n\\twoch{总体指的是该市参加升学考试的全体学生}{个体指的是 $1000$ 名学生中的每一名学生}{样本容量指的是 $1000$ 名学生}{样本是指 $1000$ 名学生的数学升学考试成绩}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240125\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "021144"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023757": {
+        "id": "023757",
+        "content": "下面抽样方法中是简单随机抽样的是\\bracket{20}.\n\\onech{从平面直角坐标系中抽取 $5$ 个点作为样本}{可口可乐公司从仓库中的 $1000$ 箱可乐中一次性抽取 $20$ 箱进行质量检查}{某连队从 $200$ 名战士中, 挑选出 $50$ 名最优秀的战士去参加抢险救灾活动}{从 $10$ 个手机中逐个不放回地随机抽取 $2$ 个进行质量检验(假设 $10$ 个手机已编好号, 对编号随机抽取)}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240125\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023758": {
+        "id": "023758",
+        "content": "要了解一种新型灯管的寿命, 可以通过\\blank{50}获取数据(填``观测''或``实验'').",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240125\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023759": {
+        "id": "023759",
+        "content": "从总数为 $N$ 的一批零件中抽取一个容量为 $30$ 的样本, 若每个零件被抽取的可能性为 $25 \\%$, 则 $N=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240125\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "010572"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023760": {
+        "id": "023760",
+        "content": "某工厂生产 $A$、$B$、$C$ 三种不同型号的产品, 产品数量之比为 $2: 3: 4$, 现用分层抽样方法抽出一个容量为 $n$ 的样本, 样本中 $A$ 型产品有 $16$ 件, 那么此样本的容量 $n=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240125\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "018802",
+            "022746",
+            "019624"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023761": {
+        "id": "023761",
+        "content": "一名交警在高速路上随机观测了 $6$ 辆车的行驶速度, 然后做出了一份报告, 调查结果如下表:\n\\begin{center}\n\\begin{tabular}{|c|c|c|c|c|c|c|c|}\n\\hline 车序号 & 1 & 2 & 3 & 4 & 5 & 6 \\\\\n\\hline 速度 $(\\mathrm{km}/ \\mathrm{h})$ & 66 & 65 & 71 & 54 & 69 & 58 \\\\\n\\hline\n\\end{tabular}\n\\end{center}\n(1) 交警采取的是\\blank{50}调查方式;\\\\\n(2) 这次调查的样本容量是\\blank{50}, 个体是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240125\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023762": {
+        "id": "023762",
+        "content": "假设要考察某公司生产的空调质量是否合格, 现从 $800$ 台空调中抽取 $60$ 台进行检验, 利用随机数表抽取样本时, 先将 $800$ 台空调按 $000,001, \\cdots, 799$ 进行编号, 如果从随机数表第 $7$ 行第 $8$ 列的数开始向右读, 则得到的第 $4$ 个个体的编号是\\blank{50}(下面摘取随机数表第 $7$ 行至第 $9$ 行).\n\\begin{center}\n\\begin{tabular}{c}\n84 \\ 42 \\ 17 \\ 53 \\ 31 \\ 57 \\ 24 \\ 55 \\ 06 \\ 88 \\ 77 \\ 04 \\ 74 \\ 47 \\ 67 \\ 21 \\ 76 \\ 33 \\ 50 \\ 25 \\ 83 \\ 92 \\ 12 \\ 06 \\ 76\\\\\n63 \\ 01 \\ 63 \\ 78 \\ 59 \\ 16 \\ 95 \\ 55 \\ 67 \\ 19 \\ 98 \\ 10 \\ 50 \\ 71 \\ 75 \\ 12 \\ 86 \\ 73 \\ 58 \\ 07 \\ 44 \\ 39 \\ 52 \\ 38 \\ 79\\\\\n33 \\ 21 \\ 12 \\ 34 \\ 29 \\ 78 \\ 64 \\ 56 \\ 07 \\ 82 \\ 52 \\ 42 \\ 07 \\ 44 \\ 38 \\ 15 \\ 51 \\ 00 \\ 13 \\ 42 \\ 99 \\ 66 \\ 02 \\ 79 \\ 54\\\\\n\\end{tabular}\n\\end{center}",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240125\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "023279",
+            "019851"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023763": {
+        "id": "023763",
+        "content": "海关对同时从 A、B、C 三个不同地区进口的某种商品进行抽样检测, 从各地区进口此种商品的数量(单位: 件)如下表所示.工作人员用分层抽样的方法从这些商品中共抽取 $6$ 件样品进行检测.\n\\begin{center}\n\\begin{tabular}{|c|c|c|c|}\n\\hline 地区 & A & B & C \\\\\n\\hline 数量 & $50$ & $150$ & $100$ \\\\\n\\hline\n\\end{tabular}\n\\end{center}\n(1) 求这 $6$ 件样品中来自 A、B、C 各地区商品的数量;\\\\\n(2) 若在这 $6$ 件样品中随机抽取 $2$ 件送往甲机构进行进一步检测, 求这 $2$ 件商品来自相同地区的概率.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240125\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "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.",