添加关联题20160->19837

题库0.3/Problems.json

@@ -510222,6 +510222,56 @@
         "space": "4em",
         "unrelated": []
     },
+    "019836": {
+        "id": "019836",
+        "content": "已知$a\\in \\mathbf{R}$, 求关于$x$的不等式 $x^2-(a+1)^2x+2a(a^2+1)<0$的解集.",
+        "objs": [],
+        "tags": [
+            "第一单元"
+        ],
+        "genre": "4em",
+        "ans": "当$a=1$时, 解集为$\\varnothing$; 当$a\\ne 1$时, 解集为$(2a,a^2+1)$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一校本作业必修第二章-20230918修改",
+        "edit": [
+            "20220901\t王伟叶\t伍杨超",
+            "20230918\t王伟叶"
+        ],
+        "same": [],
+        "related": [
+            "020147"
+        ],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "019837": {
+        "id": "019837",
+        "content": "若关于$x$的不等式$(a^2-1)x^2+2ax-1>0$有实数解, 求$a$的取值范围.",
+        "objs": [],
+        "tags": [
+            "第一单元"
+        ],
+        "genre": "4em",
+        "ans": "$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一校本作业必修第二章-20230918修改",
+        "edit": [
+            "20220901\t王伟叶\t伍杨超",
+            "20230918\t王伟叶"
+        ],
+        "same": [],
+        "related": [
+            "020160"
+        ],
+        "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.",
@@ -514672,7 +514722,9 @@
             "20220901\t王伟叶\t伍杨超"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "019836"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -514974,7 +515026,9 @@
             "20220901\t王伟叶\t伍杨超"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "019837"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []