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 c2c98259..66846d06 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 @@ -19,3 +19,6 @@ 20240124-202600 023683:023688 +20240124-202938 +023689:023691 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 4022db0d..dcc164c8 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -74527,7 +74527,9 @@ "20220625\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023690" + ], "remark": "", "space": "", "unrelated": [] @@ -255937,7 +255939,9 @@ "edit": [ "20220726\t王伟叶" ], - "same": [], + "same": [ + "023689" + ], "related": [], "remark": "", "space": "", @@ -640026,6 +640030,70 @@ "space": "4em", "unrelated": [] }, + "023689": { + "id": "023689", + "content": "若圆 $C: x^2+y^2+k x+2 y=-k^2$($k \\in \\mathbf{R}$), 则当圆 $C$ 面积最大时, 圆心 $C$ 的坐标为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240124\t毛培菁" + ], + "same": [ + "009076" + ], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023690": { + "id": "023690", + "content": "若实数 $x$、$y$ 满足 $x^2+y^2-4 x+1=0$, 则 $x-y$ 的最小值为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240124\t毛培菁" + ], + "same": [], + "related": [ + "002292" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023691": { + "id": "023691", + "content": "在平面直角坐标系 $x O y$ 中, 曲线 $\\Gamma: y=x^2-m x+2 m$($m \\in \\mathbf{R}$) 与 $x$ 轴交于不同的两点\n$A$、$B$, 曲线 $\\Gamma$ 与 $y$ 轴交于点 $C$.\\\\\n(1) 是否存在以 $AB$ 为直径的圆过点 $C$ ? 若存在, 求出该圆的方程; 若不存在, 请说明理由;\\\\\n(2) 求证: 过 $A$、$B$、$C$ 三点的圆过定点.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240124\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