收录高三寒假作业19新题

工具v2/文本文件/新题收录列表.txt

@@ -55,3 +55,6 @@
 20240125-103242
 023756:023762,017215,023763
 
+20240125-103720
+023764:023771
+

题库0.3/Problems.json

@@ -467395,7 +467395,9 @@
             "20230503\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "023769"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -468209,7 +468211,9 @@
             "20230503\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "023768"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -476010,7 +476014,9 @@
             "20230602\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "023770"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -569295,7 +569301,9 @@
             "20230101\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "023768"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -569695,7 +569703,9 @@
             "20230101\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "023770"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -641656,6 +641666,174 @@
         "space": "4em",
         "unrelated": []
     },
+    "023764": {
+        "id": "023764",
+        "content": "某班班主任为了了解该班学生寒假期间做家务劳动的情况, 若随机抽取该班 $15$ 名学生, 调查得到这 $15$ 名学生寒假期间做家务劳动的天数分别是 $8$、$18$、$15$、$20$、$16$、$21$、$19$、$18$、$19$、$10$、$6$、$20$、$20$、$23$、$25$, 则这组数据的中位数为\\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": []
+    },
+    "023765": {
+        "id": "023765",
+        "content": "某班级积极响应``书香校园''活动的号召, 如图所示茎叶图记录了该班甲、乙两个小组的同学在寒假中阅读打卡的天数(单位:天), 若甲组数据的中位数为 $16$, 乙组数据的平均数为 $16.4$, 则 $x+y$ 的值为\\blank{50}.\n\\begin{center}\n\\begin{tabular}{ccc|c|ccc}\n\\multicolumn{3}{c|}{甲组} & & \\multicolumn{3}{c}{乙组} \\\\\n\\hline\n&&9&0&9\\\\\n9&$x$&0&1&6&6&$y$\\\\\n&&6&2&9        \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": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023766": {
+        "id": "023766",
+        "content": "下表记录了某地区一年之内的月降水量.\n\\begin{center}\n\\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|}\n\\hline 月份 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\\\\n\\hline 月降水量 $/ \\mathrm{mm}$ & 58 & 48 & 53 & 46 & 56 & 56 & 51 & 71 & 56 & 53 & 64 & 66 \\\\\n\\hline\n\\end{tabular}    \n\\end{center}\n根据上述统计表, 该地区月降水量的 $80 \\%$ 分位数是\\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": []
+    },
+    "023767": {
+        "id": "023767",
+        "content": "现有一组数据: $1$、$3$、$4$、$6$、$7$、$7$、$21$, 若中位数为 $a$, 众数为 $b$, 方差为 $s^2$, 则 $a+b+s^2=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
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+        "origin": "自拟题目",
+        "edit": [
+            "20240125\t毛培菁"
+        ],
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+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023768": {
+        "id": "023768",
+        "content": "将某选手的 $6$ 个得分去掉一个最高分, 去掉一个最低分, $4$个剩余分数的平均分为$91$, 现场作的$6$个分数的茎叶图后来有 $1$ 个数据模糊, 无法辨认, 在图中以 $x$ 表示, 则 $4$ 个剩余分数的方差为\\blank{50}.\n\\begin{center}\n\\begin{tabular}{c|ccccc}\n8 & 7 \\\\\n9 & 3 & 0 & $x$ & 0 & 1\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": [
+            "017205",
+            "021165"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023769": {
+        "id": "023769",
+        "content": "设样本数据 $x_1$、$x_2$、$\\cdots$、$x_{10}$ 的平均数和方差分别为 $1$ 和 $4$ , 若 $y_i=3 x_i+a$($a$ 为非零常数, $i=1$、$2$、$\\cdots, 10$), 则 $y_1$、$y_2, \\cdots$、$y_{10}$ 的方差为\\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": [
+            "017168"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023770": {
+        "id": "023770",
+        "content": "在发生某地公共卫生事件期间, 有专业机构认为该事件在一段时间没有发生规模群体感染的标志为``连续 $10$ 天, 每天新增疑似病例不超过 $7$ 人''.根据过去 $10$ 天甲、乙、丙、丁四地新增疑似病例数据, 一定符合该标志的结论是\\blank{50}(填写序号).\\\\\n\\textcircled{1}甲地:总体均值为 $3$ , 中位数为 $4$ ;\\\\\n\\textcircled{2}乙地:总体均值为 $1$ , 总体方差大于 $0$ ;\\\\\n\\textcircled{3}丙地:中位数为 $2$ , 众数为 $3$ ;\\\\\n\\textcircled{4}丁地:总体均值为 $2$ , 总体方差为 3.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
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+        "solution": "",
+        "duration": -1,
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+        "origin": "自拟题目",
+        "edit": [
+            "20240125\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "021177",
+            "017545"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023771": {
+        "id": "023771",
+        "content": "某校高三(1)班全体女生的一次数学测试成绩的茎叶图和频率分布直方图都受到不同程度的破坏, 但可见部分如图所示, 据此解答如下问题.\n\\begin{center}\n\\begin{minipage}[t]{0.5\\textwidth}\n\\begin{tabular}{c|cccccccccc}\n5&6&8\\\\\n6&2&3&3&5&6&8&9\\\\\n7&1&2&2&3&4&5&6&7&8&9\\\\\n8&\\multicolumn{10}{l}{\\textcolor{gray!50}{\\rule[-0.2em]{16em}{1.2em}}}\\\\\n9&5&8\n\\end{tabular}\n\\end{minipage}\n\\begin{minipage}[t]{0.4\\textwidth}\n\\begin{tikzpicture}[>=latex, xscale = 0.05, yscale = 50]\n\\draw [->] (40,0) -- (42,0) -- (43,-0.002) -- (45,0.002) -- (46,0) -- (120,0) node [below] {分数};\n\\draw [->] (40,0) -- (40,0.06) node [left] {$\\dfrac{\\text{频率}}{\\text{组距}}$};\n\\draw (40,0) node [below left] {$O$};\n\\foreach \\i/\\j in {50/0.008,60/0.028,70/0.04,80/0.016,90/0.008}\n{\\draw (\\i,0) node [below] {$\\i$} --++ (0,\\j) --++ (10,0) --++ (0,-\\j);};\n\\foreach \\i/\\j/\\k in {60/0.028,70/0.04,80/0.016,90/0.008}\n{\\draw [dashed] (\\i,\\j) -- (40,\\j) node [left] {$\\k$};};\n\\draw (100,0) node [below] {$100$};\n\\filldraw [gray!50] (78,0.025) circle (20 and 0.02);\n\\end{tikzpicture}\n\\end{minipage}\n\\end{center}\n(1) 求高三(1)班全体女生的人数;\\\\\n(2) 求分数在 $[80,90)$ 之间的女生人数, 并计算频率分布直方图中 $[80,90)$ 之间的矩形的高;\\\\\n(3) 根据频率分布直方图, 估计高三(1)班全体女生的数学平均成绩(同一组中的数据用该组区间的中点值代表).",
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+        "genre": "解答题",
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+        "duration": -1,
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+            "20240125\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
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+    },
     "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.",