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 a750b83b..46d27a1d 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 @@ -421,3 +421,6 @@ 20240311-141520 024718 +20240311-162017 +024722 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 7e265b04..d893f15b 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -597455,7 +597455,9 @@ "20230209\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024722" + ], "remark": "\\\\\n(20240305)错因: 没写清楚具体角度的三角比的符号的判断过程; 解方程没验根", "space": "4em", "unrelated": [] @@ -684260,6 +684262,28 @@ "space": "", "unrelated": [] }, + "024722": { + "id": "024722", + "content": "设$\\alpha\\in (-\\dfrac{\\pi}{2},\\dfrac{\\pi}{2})$, 且满足$\\cos(\\alpha-\\dfrac{\\pi}{6})=-\\dfrac{1}{3}$, 求$\\sin\\alpha$的值.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240311\t吴轩萍" + ], + "same": [], + "related": [ + "021538" + ], + "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