From d62842d505d87e70d29d9cd64c81e95ecc06f0a0 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Mon, 20 Nov 2023 16:46:36 +0800 Subject: [PATCH] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=E4=B8=A4=E9=81=93=E5=85=B3?= =?UTF-8?q?=E8=81=94=E9=A2=98?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 题库0.3/Problems.json | 54 +++++++++++++++++++++++++++++++++++++++++-- 1 file changed, 52 insertions(+), 2 deletions(-) diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 1a383527..1bdc2c19 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -595460,7 +595460,9 @@ "20230905\t王伟叶" ], "same": [], - "related": [], + "related": [ + "022796" + ], "remark": "", "space": "4em", "unrelated": [] @@ -595480,7 +595482,9 @@ "20230905\t王伟叶" ], "same": [], - "related": [], + "related": [ + "022797" + ], "remark": "", "space": "4em", "unrelated": [] @@ -603631,6 +603635,52 @@ "space": "", "unrelated": [] }, + "022796": { + "id": "022796", + "content": "已知 $m \\in \\mathbf{R}$, $m<0$. 分别求函数 $f(x)=x^2+2 x+3$ 在区间 $[m, 0]$ 上的最大值与最小值.", + "objs": [], + "tags": [], + "genre": "4em", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2025届高一上学期周末卷13-20231120修改", + "edit": [ + "20230905\t王伟叶", + "20231120\t严捷" + ], + "same": [], + "related": [ + "022463" + ], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "022797": { + "id": "022797", + "content": "已知 $a$ 为实常数, 设 $f(x)=\\begin{cases}(x-a)^2,& x \\leq 0,\\\\x+\\dfrac{4}{x}+3 a,& x>0 .\\end{cases}$ 若 $f(0)$ 是 $f(x)$ 的最小值, 则 $a$ 的取值范围为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2025届高一上学期周末卷13-20231120修改", + "edit": [ + "20230905\t王伟叶", + "20231120\t严捷" + ], + "same": [], + "related": [ + "022464" + ], + "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