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收录高三寒假作业25新题

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wangweiye7840 2024-01-25 11:14:17 +08:00
parent 972e2ec08a
commit 112c76a511
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3
工具v2/文本文件/新题收录列表.txt
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@ -73,3 +73,6 @@
20240125-110148
023808:023810,015997,023811:023817
20240125-111402
023818:023827

234
题库0.3/Problems.json
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@ -235486,7 +235486,9 @@
"20220726\t王伟叶"
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@ -341072,7 +341074,9 @@
"20221209\t王伟叶"
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@ -396973,7 +396977,9 @@
"20230131\t王伟叶"
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@ -585265,7 +585271,9 @@
"20230209\t王伟叶"
],
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@ -642830,6 +642838,216 @@
"space": "4em",
"unrelated": []
},
"023818": {
"id": "023818",
"content": "函数 $y=\\lg (1-2 \\cos x)$ 的定义域为\\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": []
},
"023819": {
"id": "023819",
"content": "函数 $y=\\dfrac{\\sin ^2 x+2}{\\sin x}$ 的值域为\\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": [],
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"remark": "",
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},
"023820": {
"id": "023820",
"content": "$ 的值域为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
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"duration": -1,
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"20240125\t毛培菁"
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"related": [
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"remark": "",
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},
"023821": {
"id": "023821",
"content": "函数 $y=\\tan 3 \\pi x$ 的最小正周期为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240125\t毛培菁"
],
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"related": [
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"014259"
],
"remark": "",
"space": "",
"unrelated": []
},
"023822": {
"id": "023822",
"content": "函数 $y=\\tan (x+\\dfrac{\\pi}{4})$ 的严格\\blank{50}(填写``增''或``减'') 区间为\\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": [
"021718"
],
"remark": "",
"space": "",
"unrelated": []
},
"023823": {
"id": "023823",
"content": "函数 $y=\\sin (\\dfrac{\\pi}{3}-2 x)$ 的严格减区间是\\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": [
"008271",
"040692"
],
"remark": "",
"space": "",
"unrelated": []
},
"023824": {
"id": "023824",
"content": "设 $a, b \\in \\mathbf{R}$. 若函数 $y=2 \\cos x$ 的定义域为 $[\\dfrac{\\pi}{3}, \\pi]$, 值域为 $[a, b]$, 则 $b-a=$\\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": []
},
"023825": {
"id": "023825",
"content": "若 $y=\\sin (2 x+\\alpha)+\\cos (2 x+\\alpha)$ 为奇函数, 则最小正数 $\\alpha$ 的值为\\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": [],
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"remark": "",
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},
"023826": {
"id": "023826",
"content": "设实数 $t>0$, $f(x)=2 \\sin x+t \\cos x$, \\\\\n(1) 当 $t=1$ 时, $f(x)$ 的最大值为\\blank{50}.\\\\\n(2) 已知 $f(x)=4$ 有实数解, 则 $t$ 的最小值为\\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": []
},
"023827": {
"id": "023827",
"content": "设 $a \\in \\mathbf{R}$. 当 $x \\in[0, \\dfrac{\\pi}{2}]$ 时, 求 $y=\\cos ^2 x-2 a \\cos x$ 的最小值.",
"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.",
@ -708866,7 +709084,9 @@
"20230330\t王伟叶"
],
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@ -716452,7 +716672,9 @@
"20230428\t王伟叶"
],
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