和K0108,K0207有关的题目和备课稿题号的修改

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",

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": [],