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拆分题目并作关联

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wangweiye7840 2023-12-04 15:05:43 +08:00
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题库0.3/Problems.json
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@ -297246,7 +297246,10 @@
"20220806\t王伟叶" "20220806\t王伟叶"
], ],
"same": [], "same": [],
"related": [], "related": [
"022192",
"022193"
],
"remark": "", "remark": "",
"space": "4em", "space": "4em",
"unrelated": [] "unrelated": []
@ -591628,7 +591631,9 @@
"20230905\t王伟叶" "20230905\t王伟叶"
], ],
"same": [], "same": [],
"related": [], "related": [
"010747"
],
"remark": "", "remark": "",
"space": "4em", "space": "4em",
"unrelated": [] "unrelated": []
@ -591661,7 +591666,9 @@
"20230905\t王伟叶" "20230905\t王伟叶"
], ],
"same": [], "same": [],
"related": [], "related": [
"010747"
],
"remark": "", "remark": "",
"space": "", "space": "",
"unrelated": [] "unrelated": []
@ -609957,6 +609964,46 @@
"space": "4em", "space": "4em",
"unrelated": [] "unrelated": []
}, },
"022912": {
"id": "022912",
"content": "设数列$\\{a_n\\}$为等差数列, 其前$n$项和为$S_n$.\\\\\n(1) 已知$a_4+a_{14}=1$, 求$S_{17}$;\\\\\n(2) 已知$S_{21}=420$, 求$a_{11}$.",
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20231204\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "4em",
"unrelated": []
},
"022913": {
"id": "022913",
"content": "设数列$\\{a_n\\}$为等差数列, 其前$n$项和为$S_n$.\\\\\n(1) 已知$a_1+a_2+a_3=-3$, $a_{18}+a_{19}+a_{20}=6$, 求$S_{20}$;\\\\\n(2) 已知$S_4=2$, $S_8=6$, 求$S_{16}$.",
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20231204\t王伟叶"
],
"same": [],
"related": [],
"remark": "",
"space": "4em",
"unrelated": []
},
"030001": { "030001": {
"id": "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.", "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.",