From 72b53d47b779cc787c65ac87f97f2a962e021892 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Thu, 25 Jan 2024 14:34:19 +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=9A67=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 | 92 +++++++++++++++++++++++++++++++- 2 files changed, 93 insertions(+), 2 deletions(-) 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 7b326f3b..a1e84573 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 @@ -199,3 +199,6 @@ 20240125-143125 021294,024128:024129,013757,024130:024132 +20240125-143409 +031229,024133:024135,016576,024136 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 16ace9b7..2730b96a 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -299226,7 +299226,9 @@ "20220806\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024134" + ], "remark": "", "space": "4em", "unrelated": [] @@ -570514,7 +570516,9 @@ "20230101\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024135" + ], "remark": "", "space": "4em", "unrelated": [] @@ -649561,6 +649565,90 @@ "space": "4em", "unrelated": [] }, + "024133": { + "id": "024133", + "content": "若 $a>1$, 则双曲线 $\\dfrac{x^2}{a^2}-y^2=1$ 的离心率的取值范围是\\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": [] + }, + "024134": { + "id": "024134", + "content": "若椭圆 $C: \\dfrac{x^2}{2}+y^2=1$, 直线 $l: y=x+3$, 则椭圆 $C$ 上的点到直线 $l$ 距离最大值为\\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": [ + "010702" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024135": { + "id": "024135", + "content": "椭圆 $\\dfrac{x^2}{9}+\\dfrac{y^2}{4}=1$ 的焦点为 $F_1$、$F_2$, 点 $P$ 为椭圆上一动点, 当 $\\angle F_1PF_2$ 为钝角时, 点 $P$ 的横坐标的取值范围是\\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": [ + "021201" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024136": { + "id": "024136", + "content": "椭圆 $C_1: \\dfrac{x^2}{a^2}+\\dfrac{y^2}{b^2}=1$($a>b>0$) 的焦点 $F_1$、$F_2$ 是等轴双曲线 $C_2: \\dfrac{x^2}{2}-\\dfrac{y^2}{2}=1$ 的顶点, 若椭圆 $C_1$ 与双曲线 $C_2$ 的一个交点是 $P, \\triangle PF_1F_2$ 的周长为 $4+2 \\sqrt{2}$.\\\\\n(1) 求椭圆 $C_1$ 的标准方程;\\\\\n(2) 点 $M$ 是双曲线 $C_2$ 上任意不同于其顶点的动点, 设直线 $MF_1$、$MF_2$ 的斜率分别为 $k_1$、$k_2$, 求证: $k_1$、$k_2$ 的乘积为定值.", + "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