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 8bfc0fbd..bf0d2803 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 @@ -31,3 +31,6 @@ 20240124-205428 023703:023704 +20240124-214301 +023705:023712 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index d296693f..dfe0d4b6 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -107592,7 +107592,10 @@ "same": [ "008964" ], - "related": [], + "related": [ + "023709", + "023710" + ], "remark": "", "space": "4em", "unrelated": [] @@ -251929,7 +251932,9 @@ "20220726\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023707" + ], "remark": "", "space": "4em", "unrelated": [] @@ -253333,7 +253338,9 @@ "same": [ "003434" ], - "related": [], + "related": [ + "023710" + ], "remark": "", "space": "4em", "unrelated": [] @@ -402461,7 +402468,9 @@ "20230209\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023707" + ], "remark": "", "space": "", "unrelated": [] @@ -571086,7 +571095,9 @@ "20230101\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023707" + ], "remark": "", "space": "4em", "unrelated": [] @@ -640375,6 +640386,175 @@ "space": "4em", "unrelated": [] }, + "023705": { + "id": "023705", + "content": "若平面上到两定点距离差的绝对值为非零常数的点的轨迹存在, 则轨迹可以是\\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": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023706": { + "id": "023706", + "content": "方程 $m x^2+n y^2+m n=0$($m<-n<0$)所表示的曲线的焦点坐标为\\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": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023707": { + "id": "023707", + "content": "以椭圆 $\\dfrac{x^2}{3}+\\dfrac{y^2}{4}=1$ 的顶点为焦点, 焦点为顶点的双曲线方程是\\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": [ + "014468", + "008916", + "021240" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023708": { + "id": "023708", + "content": "实、虚轴长之和为 $28$, 焦距为 $20$, 且焦点在 $x$ 轴上的双曲线方程为\\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": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023709": { + "id": "023709", + "content": "以椭圆 $3 x^2+13 y^2=39$ 的焦点为焦点, 以 $y= \\pm \\dfrac{1}{2}x$ 为渐近线的双曲线方程为\\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": [ + "003434" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023710": { + "id": "023710", + "content": "渐近线方程为 $3 x \\pm 4 y=0$, 焦点为椭圆 $\\dfrac{x^2}{10}+\\dfrac{y^2}{5}=1$ 的一对顶点的双曲线方程为\\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": [ + "008964", + "003434" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023711": { + "id": "023711", + "content": "双曲线 $C: \\dfrac{x^2}{4}-\\dfrac{y^2}{2}=1$ 的右焦点为 $F$, 若点 $P$ 在 $C$ 的一条渐近线上, $O$ 为坐标原点, 若 $|PO|=|PF|$, 则 $\\triangle PFO$ 的面积为\\bracket{20}.\n\\fourch{$\\dfrac{3 \\sqrt{2}}{4}$}{$\\dfrac{3 \\sqrt{2}}{2}$}{$2 \\sqrt{2}$}{$3 \\sqrt{2}$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240124\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023712": { + "id": "023712", + "content": "设 $F$ 为双曲线 $C: \\dfrac{x^2}{a^2}-\\dfrac{y^2}{b^2}=1$($a>0$, $b>0$) 的右焦点, $O$ 为坐标原点, 以 $OF$ 为直径的圆与圆 $x^2+y^2=a^2$ 交于 $P$、$Q$ 两点. 若 $|PQ|=|OF|$, 则双曲线 $C$ 的离心率为 \\bracket{20}.\n\\fourch{$\\sqrt{2}$}{$\\sqrt{3}$}{$2$}{$\\sqrt{5}$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240124\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "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