添加两个关联题

题库0.3/Problems.json

@@ -582665,7 +582665,8 @@
         ],
         "same": [],
         "related": [
-            "023599"
+            "023599",
+            "023604"
         ],
         "remark": "",
         "space": "",
@@ -582822,7 +582823,8 @@
         ],
         "same": [],
         "related": [
-            "023600"
+            "023600",
+            "023605"
         ],
         "remark": "",
         "space": "4em",
@@ -638153,6 +638155,58 @@
         "space": "",
         "unrelated": []
     },
+    "023604": {
+        "id": "023604",
+        "content": "函数$y=\\sqrt{-2 \\cos x}$的定义域为\\blank{100}.",
+        "objs": [],
+        "tags": [
+            "第三单元"
+        ],
+        "genre": "",
+        "ans": "$\\left \\{x|\\dfrac{\\pi}{2}+2k\\pi \\leq x \\leq \\dfrac{3\\pi}{2}+2k\\pi,k \\in \\mathbf{Z} \\right \\}$.",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下校本作业-20240116修改",
+        "edit": [
+            "20230209\t王伟叶",
+            "20240116\t朱敏慧"
+        ],
+        "same": [],
+        "related": [
+            "023599",
+            "021641"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023605": {
+        "id": "023605",
+        "content": "已知$a$为实常数, 作出函数$f(x)=\\begin{cases}-\\sin x,& x \\in(0, \\pi], \\\\ \\cos x,& x \\in[-\\pi, 0]\\end{cases}$的图像并讨论方程$f(x)=a$的实数解个数.",
+        "objs": [],
+        "tags": [
+            "第三单元"
+        ],
+        "genre": "4em",
+        "ans": "当$a \\in (-\\infty,-1)\\cup (1,+\\infty)$ 时, 方程实数解个数为$0$个; \\\\\n当$a \\in (0,1]$时，方程实数解个数为$1$个;\\\\\n当$a \\in \\{0,-1\\}$时，方程实数解个数为$2$个;\\\\\n当$a \\in (-1,0)$时, 方程实数解个数为$3$个",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一下校本作业-20240116修改",
+        "edit": [
+            "20230209\t王伟叶",
+            "20240116\t朱敏慧"
+        ],
+        "same": [],
+        "related": [
+            "023600",
+            "021646"
+        ],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
     "030001": {
         "id": "030001",
         "content": "若$x,y,z$都是实数, 则:(填写``\\textcircled{1} 充分非必要、\\textcircled{2} 必要非充分、\\textcircled{3} 充要、\\textcircled{4} 既非充分又非必要''之一)\\\\\n(1) ``$xy=0$''是``$x=0$''的\\blank{50}条件;\\\\\n(2) ``$x\\cdot y=y\\cdot z$''是``$x=z$''的\\blank{50}条件;\\\\\n(3) ``$\\dfrac xy=\\dfrac yz$''是``$xz=y^2$''的\\blank{50}条件;\\\\\n(4) ``$|x |>| y|$''是``$x>y>0$''的\\blank{50}条件;\\\\\n(5) ``$x^2>4$''是``$x>2$'' 的\\blank{50}条件;\\\\\n(6) ``$x=-3$''是``$x^2+x-6=0$'' 的\\blank{50}条件;\\\\\n(7) ``$|x+y|<2$''是``$|x|<1$且$|y|<1$'' 的\\blank{50}条件;\\\\\n(8) ``$|x|<3$''是``$x^2<9$'' 的\\blank{50}条件;\\\\\n(9) ``$x^2+y^2>0$''是``$x\\ne 0$'' 的\\blank{50}条件;\\\\\n(10) ``$\\dfrac{x^2+x+1}{3x+2}<0$''是``$3x+2<0$'' 的\\blank{50}条件;\\\\\n(11) ``$0<x<3$''是``$|x-1|<2$'' 的\\blank{50}条件.",