diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 1436f6b0..19fbc044 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -312315,7 +312315,9 @@
             "20220901\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "019284"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -493945,6 +493947,31 @@
         "space": "4em",
         "unrelated": []
     },
+    "019284": {
+        "id": "019284",
+        "content": "设$a_1,a_2,b_1,b_2,c_1,c_2$均为非零实数, 关于$x$的方程$a_1x^2+b_1x+c_1=0$与$a_2x^2+b_2x+c_2=0$的解集分别为$M$和$N$, 那么``$\\dfrac{a_1}{a_2}=\\dfrac{b_1}{b_2}=\\dfrac{c_1}{c_2}$''是``$M=N$''的\\bracket{20}.\n\\twoch{充分非必要条件}{必要非充分条件}{充要条件}{既非充分又非必要条件}",
+        "objs": [],
+        "tags": [
+            "第一单元"
+        ],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "空中课堂必修第一册例题与习题-20230726修改",
+        "edit": [
+            "20220901\t王伟叶",
+            "20230726\t赵琍琍"
+        ],
+        "same": [],
+        "related": [
+            "011821"
+        ],
+        "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.",