添加2024届高三上学期测验2的三道关联题

题库0.3/Problems.json

@@ -122458,7 +122458,8 @@
         "same": [],
         "related": [
             "004687",
-            "000480"
+            "000480",
+            "019885"
         ],
         "remark": "",
         "space": "",
@@ -299257,7 +299258,9 @@
             "20220817\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "019884"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -299524,7 +299527,9 @@
             "20220817\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "019886"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -517928,6 +517933,85 @@
         "space": "4em",
         "unrelated": []
     },
+    "019884": {
+        "id": "019884",
+        "content": "已知集合$A=\\mathbf{N}$, $B=\\{x||2x-1|<5\\}$, 则$A\\cap B=$\\blank{50}. (用列举法表示)",
+        "objs": [],
+        "tags": [
+            "第一单元"
+        ],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2022届高三上学期周末卷5试题1-20231021修改",
+        "edit": [
+            "20220817\t王伟叶",
+            "20231021\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "010986"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019885": {
+        "id": "019885",
+        "content": "已知圆锥的底面半径为$1$, 母线长为$2$, 则该圆锥的侧面积为\\blank{50}.",
+        "objs": [],
+        "tags": [
+            "第六单元",
+            "2023届高三-上学期测验卷-测验05",
+            "2023届高三-寒假作业-容易题"
+        ],
+        "genre": "",
+        "ans": "$\\dfrac{\\sqrt{3}}3\\pi$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2022届高三下学期测验卷04第3题-20231021修改",
+        "edit": [
+            "20220705\t王伟叶",
+            "20231021\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "004687",
+            "000480",
+            "004124"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019886": {
+        "id": "019886",
+        "content": "已知函数$f(x)=|x+\\dfrac 1x|$, 给出下列命题:\\\\\n\\textcircled{1} 存在实数$a$, 使得函数$y=f(x)+f(x-a)$为奇函数;\\\\\n\\textcircled{2} 对任意实数$a$, 均存在实数$m$, 使得函数$y=f(x)+f(x-a)$关于$x=m$对称;\\\\\n\\textcircled{3} 若对任意非零实数$a$, $f(x)+f(x-a)\\ge k$都成立, 则实数$k$的取值范围为$(-\\infty ,4]$;\\\\\n\\textcircled{4} 存在实数$k$, 都存在实数$a$使得函数$y=f(x)+f(x-a)-k$有零点.\\\\\n其中的真命题是\\blank{50}. (写出所有真命题的序号)",
+        "objs": [],
+        "tags": [
+            "第二单元"
+        ],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2022届高三上学期周末卷5试题12-20231021修改",
+        "edit": [
+            "20220817\t王伟叶",
+            "20231021\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "010997"
+        ],
+        "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.",