From ebd748e35f840ce47e6b29ca6764b3448619dc43 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Fri, 3 Nov 2023 17:41:01 +0800 Subject: [PATCH] =?UTF-8?q?=E5=BD=95=E5=85=A52026=E5=B1=8A=E9=AB=98?= =?UTF-8?q?=E4=B8=89=E5=9F=BA=E7=A1=80=E8=B5=8B=E8=83=BD=E5=8D=B77?= =?UTF-8?q?=E9=83=A8=E5=88=86=E9=A2=98=E7=9B=AE?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 题库0.3/Problems.json | 112 +++++++++++++++++++++++++++++++++++++++++- 1 file changed, 110 insertions(+), 2 deletions(-) diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 7d3ea9dd..43cb0da0 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -354871,7 +354871,9 @@ "20230118\t王伟叶" ], "same": [], - "related": [], + "related": [ + "019951" + ], "remark": "", "space": "", "unrelated": [] @@ -426234,7 +426236,9 @@ "20230503\t王伟叶" ], "same": [], - "related": [], + "related": [ + "019952" + ], "remark": "", "space": "", "unrelated": [] @@ -520712,6 +520716,110 @@ "space": "", "unrelated": [] }, + "019951": { + "id": "019951", + "content": "已知扇形的半径为 $6$, 圆心角为 $\\dfrac{\\pi}{3}$, 则扇形的面积为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231103\t毛培菁" + ], + "same": [], + "related": [ + "013011" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "019952": { + "id": "019952", + "content": "若实数 $x$、$y$ 满足 $x^2+y^2=1$, 则 $x y$ 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": [ + "20231103\t毛培菁" + ], + "same": [], + "related": [ + "015734" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "019953": { + "id": "019953", + "content": "若函数 $f(x)=\\ln \\dfrac{1+x}{1-x}$ 的定义域为集合 $A$, 集合 $B=(a, a+1)$, 且 $B \\subseteq A$, 则实数 $a$ 的取值范围为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231103\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "019954": { + "id": "019954", + "content": "``$a<\\dfrac{1}{4}$''是``一元二次方程 $x^2-x+a=0$ 有实数解''的\\bracket{20}.\n\\twoch{充分非必要条件}{充分必要条件}{必要非充分条件}{非充分非必要条件}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231103\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "019955": { + "id": "019955", + "content": "有一批种子, 对于 1 颗种子来说, 它可能 1 天发芽, 也可能 2 天发芽, .......下表是不同发芽天数的种子数的记录:\n\\begin{center}\n\\begin{tabular}{|c|c|c|c|c|c|c|c|c|}\n\\hline 发芽天数 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & $\\geq 8$ \\\\\n\\hline 种子数 & 8 & 26 & 22 & 24 & 12 & 4 & 2 & 0 \\\\\n\\hline\n\\end{tabular}\n\\end{center}\n统计每个种子发芽天数得到一组数据, 则这组数据的中位数是\\bracket{20}.\n\\fourch{$2$}{$3$}{$3.5$}{$4$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231103\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, "020001": { "id": "020001", "content": "判断下列各组对象能否组成集合, 若能组成集合, 指出是有限集还是无限集.\\\\\n(1) 上海市控江中学$2022$年入学的全体高一年级新生;\\\\\n(2) 中国现有各省的名称;\\\\\n(3) 太阳、$2$、上海市;\\\\\n(4) 大于$10$且小于$15$的有理数;\\\\\n(5) 末位是$3$的自然数;\\\\\n(6) 影响力比较大的中国数学家;\\\\\n(7) 方程$x^2+x-3=0$的所有实数解;\\\\ \n(8) 函数$y=\\dfrac 1x$图像上所有的点;\\\\ \n(9) 在平面直角坐标系中, 到定点$(0, 0)$的距离等于$1$的所有点;\\\\\n(10) 不等式$3x-10<0$的所有正整数解;\\\\\n(11) 所有的平面四边形.",