增加两道关联题

题库0.3/Problems.json

@@ -272701,7 +272701,8 @@
         "same": [],
         "related": [
             "011853",
-            "030035"
+            "030035",
+            "019841"
         ],
         "remark": "",
         "space": "4em",
@@ -512710,6 +512711,62 @@
         "space": "4em",
         "unrelated": []
     },
+    "019841": {
+        "id": "019841",
+        "content": "用三角不等式证明: $|x+2|-|x-1|\\ge -3$, 对所有实数$x$均成立, 并求等号成立时$x$的取值范围.",
+        "objs": [
+            "K0120001B",
+            "K0120002B"
+        ],
+        "tags": [
+            "第一单元",
+            "2023届高三-第一轮复习讲义-03-等式与不等式的性质及证明"
+        ],
+        "genre": "4em",
+        "ans": "证明略, 等号成立时$x$的取值范围为$(-\\infty,-2]$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "新教材必修第一册习题-20230925修改",
+        "edit": [
+            "20220806\t王伟叶",
+            "20230925\t王伟叶"
+        ],
+        "same": [],
+        "related": [
+            "011853",
+            "030035",
+            "010104"
+        ],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "019842": {
+        "id": "019842",
+        "content": "用三角不等式证明: $|x-3|-|x-5|\\le 2$对一切实数$x$恒成立, 并指出等号成立的条件.",
+        "objs": [],
+        "tags": [
+            "第一单元"
+        ],
+        "genre": "4em",
+        "ans": "证明略, 等号成立当且仅当$x\\ge 5$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一校本作业必修第二章-20230925修改",
+        "edit": [
+            "20220901\t王伟叶\t伍杨超",
+            "20230925\t王伟叶"
+        ],
+        "same": [],
+        "related": [
+            "020213"
+        ],
+        "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.",
@@ -518935,7 +518992,9 @@
             "20220901\t王伟叶\t伍杨超"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "019842"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []