From 60f7cb5082a693d5c9dce41193a60ae33fc2f16d Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Thu, 25 Jan 2024 14:31:35 +0800 Subject: [PATCH] =?UTF-8?q?=E6=94=B6=E5=BD=95=E9=AB=98=E4=B8=89=E5=AF=92?= =?UTF-8?q?=E5=81=87=E4=BD=9C=E4=B8=9A66=E6=96=B0=E9=A2=98?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 工具v2/文本文件/新题收录列表.txt | 3 + 题库0.3/Problems.json | 100 +++++++++++++++++++++++++++++++ 2 files changed, 103 insertions(+) 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 2b95384b..7b326f3b 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 @@ -196,3 +196,6 @@ 20240125-142753 024119:024127 +20240125-143125 +021294,024128:024129,013757,024130:024132 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index f60fbffa..16ace9b7 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -649461,6 +649461,106 @@ "space": "4em", "unrelated": [] }, + "024128": { + "id": "024128", + "content": "设 $O$ 为坐标原点, 若抛物线 $y^2=2 x$ 与过焦点的直线交于点 $A$、$B$, 则 $\\overrightarrow{OA}\\cdot \\overrightarrow{OB}=$\\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": [] + }, + "024129": { + "id": "024129", + "content": "设 $F$ 为抛物线 $y^2=4 x$ 的焦点, $A$、$B$、$C$ 为该抛物线上三点, 若 $A$、$B$、$C$ 三点坐标分别为 $(1,2)$、$(x_1, y_1)$、$(x_2, y_2)$, 且 $|\\overrightarrow{FA}|+|\\overrightarrow{FB}|+|\\overrightarrow{FC}|=10$, 则 $x_1+x_2=$\\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": [] + }, + "024130": { + "id": "024130", + "content": "已知点 $P$ 是抛物线 $y^2=2 x$ 上动点, $A(\\dfrac{7}{2}, 4)$, 若点 $P$ 到 $y$ 轴的距离为 $d_1$, 点 $P$ 到点 $A$ 的距离为 $d_2$, 则 $d_1+d_2$ 的最小值是\\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": [] + }, + "024131": { + "id": "024131", + "content": "已知 $F$ 为抛物线 $C: y^2=6 x$ 的焦点, 过点 $F$ 的直线 $l$ 与抛物线 $C$ 相交于 $A$、$B$ 两点, 若 $|AF|=3|BF|$, 则 $|AB|$ 的值为\\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": [] + }, + "024132": { + "id": "024132", + "content": "已知抛物线 $C: y^2=2 x$, 点 $A(2,0)$、$B(-2,0)$, 过点 $A$ 的直线 $l$ 与抛物线 $C$ 交于 $M$、$N$两点. 求证: $\\angle ABM=\\angle ABN$.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\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