From 465d6f1bb0353cc7aa879157ef94f487d07bae24 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Wed, 19 Jul 2023 12:49:01 +0800 Subject: [PATCH] =?UTF-8?q?=E5=92=8CK0108,K0207=E6=9C=89=E5=85=B3=E7=9A=84?= =?UTF-8?q?=E9=A2=98=E7=9B=AE=E5=92=8C=E5=A4=87=E8=AF=BE=E7=A8=BF=E9=A2=98?= =?UTF-8?q?=E5=8F=B7=E7=9A=84=E4=BF=AE=E6=94=B9?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 工具v2/文本文件/备课稿题号.json | 12 +++ 题库0.3/Problems.json | 146 ++++++++++++++++++++++++++++++-- 2 files changed, 151 insertions(+), 7 deletions(-) diff --git a/工具v2/文本文件/备课稿题号.json b/工具v2/文本文件/备课稿题号.json index 23962150..18a35016 100644 --- a/工具v2/文本文件/备课稿题号.json +++ b/工具v2/文本文件/备课稿题号.json @@ -44,6 +44,18 @@ "集合与逻辑章节复习题": [ "1:11,30001,13:19" ], + "K0108": [ + "11783,11784,19275", + "19276", + "9444,9445,10041", + "20097:20099,20101,20100,20102:20104" + ], + "K0207": [ + "11882,19277,19278", + "19279", + "20406:20410", + "11885:11886,9485,65,10129:10130,10135,20405,20411,10131" + ], "K0215": [ "11924,11925,11926", "11930", diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 3aa5213f..a1c8d5ed 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -311564,7 +311564,8 @@ ], "same": [], "related": [ - "011789" + "011789", + "019275" ], "remark": "", "space": "4em", @@ -311588,7 +311589,8 @@ ], "same": [], "related": [ - "011788" + "011788", + "019275" ], "remark": "", "space": "4em", @@ -311611,7 +311613,9 @@ "20220901\t王伟叶" ], "same": [], - "related": [], + "related": [ + "019276" + ], "remark": "", "space": "4em", "unrelated": [] @@ -313699,7 +313703,8 @@ "same": [], "related": [ "011882", - "011884" + "011884", + "019277" ], "remark": "", "space": "4em", @@ -313724,7 +313729,8 @@ "same": [], "related": [ "011882", - "011883" + "011883", + "019278" ], "remark": "", "space": "4em", @@ -493728,6 +493734,131 @@ "space": "4em", "unrelated": [] }, + "019275": { + "id": "019275", + "content": "设$k$为实数, 求以下关于$x$与$y$的二元一次方程组的解集.\\\\n(1) $\\begin{cases} y=(3-2k)x-2, \\\\ y=k^2x-1; \\end{cases}$\\\\\n(2) $\\begin{cases} y=x+k^2+2k, \\\\ y=k^2x+3. \\end{cases}$", + "objs": [], + "tags": [ + "第一单元" + ], + "genre": "4em", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂必修第一册例题与习题-20230719修改", + "edit": [ + "20220901\t王伟叶", + "20230719\t赵琍琍" + ], + "same": [], + "related": [ + "011789", + "011788" + ], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "019276": { + "id": "019276", + "content": "设$x$、$y$均为整数, 求以下关于$x$与$y$的方程的解集.\\\\\n(1) $|x-2|+|y-1|=1$;\\\\\n(2) $(x-2)^2+(y-1)^2=25$.", + "objs": [], + "tags": [ + "第一单元" + ], + "genre": "4em", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂必修第一册例题与习题-20230719修改", + "edit": [ + "20220901\t王伟叶", + "20230719\t赵琍琍" + ], + "same": [], + "related": [ + "011790" + ], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "019277": { + "id": "019277", + "content": "写出幂函数$y=x^3$的定义域, 说明其图像关于原点对称的理由, 并作出它的大致图像.", + "objs": [], + "tags": [ + "第二单元" + ], + "genre": "4em", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂必修第一册例题与习题-20230719修改", + "edit": [ + "20220901\t王伟叶", + "20230719\t严捷" + ], + "same": [], + "related": [ + "011882", + "011884", + "011883" + ], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "019278": { + "id": "019278", + "content": "写出幂函数$y=x^{-\\frac 23}$的定义域, 说明其图像关于$y$轴对称的理由, 并作出它的大致图像.", + "objs": [], + "tags": [ + "第二单元" + ], + "genre": "4em", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂必修第一册例题与习题-20230719修改", + "edit": [ + "20220901\t王伟叶", + "20230719\t严捷" + ], + "same": [], + "related": [ + "011882", + "011883", + "011884" + ], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "019279": { + "id": "019279", + "content": "已知幂函数 $y=x^s$, $y=x^t$ 的图像在第一象限内的部分关于直线 $y=x$ 对称, 则 $s, t$ 应该满足什么关系式, 为什么?", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20230719\t严捷" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "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.", @@ -496414,7 +496545,7 @@ }, "020104": { "id": "020104", - "content": "已知$a\\in \\mathbf{R}$, 要使方程组$\\begin{cases} 2x+ay=16, \\\\x-2y=0 \\end{cases}$有正整数解, 求整数组成$a$的集合.", + "content": "已知$a\\in \\mathbf{Z}$, 要使方程组$\\begin{cases} 2x+ay=16, \\\\x-2y=0 \\end{cases}$有正整数解, 求整数$a$组成的集合.", "objs": [], "tags": [ "第一单元" @@ -496426,7 +496557,8 @@ "usages": [], "origin": "2025届高一校本作业必修第二章", "edit": [ - "20220901\t王伟叶\t伍杨超" + "20220901\t王伟叶\t伍杨超", + "20230719\t赵琍琍" ], "same": [], "related": [],