diff --git a/工具v2/文本文件/新题收录列表.txt b/工具v2/文本文件/新题收录列表.txt index f71f04be..a85e61f0 100644 --- a/工具v2/文本文件/新题收录列表.txt +++ b/工具v2/文本文件/新题收录列表.txt @@ -172,3 +172,6 @@ 20240125-135645 024058:024066 +20240125-135948 +020205,017574,024067:024068,013656,024069:024072 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index afe3a0a9..80cbcc35 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -156298,7 +156298,9 @@ "20220720\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024070" + ], "remark": "", "space": "", "unrelated": [] @@ -159880,7 +159882,8 @@ ], "same": [], "related": [ - "030036" + "030036", + "024072" ], "remark": "", "space": "4em", @@ -282714,7 +282717,9 @@ "20220806\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024069" + ], "remark": "", "space": "4em", "unrelated": [] @@ -351710,7 +351715,9 @@ "20221215\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024069" + ], "remark": "", "space": "", "unrelated": [] @@ -516498,7 +516505,9 @@ "20230730\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024069" + ], "remark": "", "space": "", "unrelated": [] @@ -539544,7 +539553,9 @@ "20220901\t王伟叶\t伍杨超" ], "same": [], - "related": [], + "related": [ + "024070" + ], "remark": "", "space": "", "unrelated": [] @@ -648169,6 +648180,135 @@ "space": "4em", "unrelated": [] }, + "024067": { + "id": "024067", + "content": "若 $a>0$、$b>0$ 且 $2 a^2+b^2=2$, 则 $a \\sqrt{1+b^2}$ 的最大值为\\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": [] + }, + "024068": { + "id": "024068", + "content": "已知 $a>0$, $b>0$, 若不等式 $(\\dfrac{2}{a}+\\dfrac{1}{b})(2 a+b) \\geq m$ 恒成立, 则实数 $m$ 的最大值为\\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": [] + }, + "024069": { + "id": "024069", + "content": "若 $x \\in \\mathbf{R}$, 则方程 $|x-1|+|3 x-2|=|4 x-3|$ 的解集为\\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": [ + "019348", + "010096", + "012580" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024070": { + "id": "024070", + "content": "下列各函数中, 最小值为 $2$ 的是\\bracket{20}.\n\\twoch{$y=x+\\dfrac{1}{x}$}{$y=\\sin x+\\dfrac{1}{\\sin x}$, $x \\in(0, \\dfrac{\\pi}{2})$}{$y=\\dfrac{x^2+2}{\\sqrt{x^2+1}}$}{$y=3^x+3^{-x}$, $x>0$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [ + "005103", + "020192" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024071": { + "id": "024071", + "content": "``$|x-a|| y|$''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