添加三道关联题

题库0.3/Problems.json

@@ -3839,7 +3839,9 @@
             "008380",
             "031239"
         ],
-        "related": [],
+        "related": [
+            "024723"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -4161,7 +4163,9 @@
         "same": [
             "008395"
         ],
-        "related": [],
+        "related": [
+            "024724"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -292403,7 +292407,9 @@
             "20220806\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024725"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -684284,6 +684290,87 @@
         "space": "4em",
         "unrelated": []
     },
+    "024723": {
+        "id": "024723",
+        "content": "已知$\\tan \\alpha=3$, 则$\\dfrac 1{\\sin^2\\alpha+2\\sin \\alpha\\cos \\alpha}=$\\blank{50}.",
+        "objs": [
+            "K0304003B"
+        ],
+        "tags": [
+            "第三单元"
+        ],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "教材复习题-20240311修改",
+        "edit": [
+            "20220624\t王伟叶, 余利成",
+            "20240311\t吴轩萍"
+        ],
+        "same": [],
+        "related": [
+            "000100"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024724": {
+        "id": "024724",
+        "content": "已知$\\alpha$是第二象限的角, 且$\\sin \\alpha=\\dfrac{\\sqrt {15}}4$, 则$\\dfrac{\\sin (\\alpha+\\dfrac{\\pi}{4})}{1+\\sin 2\\alpha+\\cos 2\\alpha}=$\\blank{50}.",
+        "objs": [
+            "K0304003B",
+            "K0310002B",
+            "K0312003B"
+        ],
+        "tags": [
+            "第三单元"
+        ],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "教材复习题-20240311修改",
+        "edit": [
+            "20220624\t王伟叶, 余利成",
+            "20240311\t吴轩萍"
+        ],
+        "same": [],
+        "related": [
+            "000111"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024725": {
+        "id": "024725",
+        "content": "已知$\\sin \\alpha=-\\dfrac 14$, $\\alpha\\in (\\pi , \\dfrac{3\\pi} 2)$, $\\cos \\beta=\\dfrac 45$, $\\beta\\in (\\dfrac{3\\pi} 2, 2\\pi)$, 则$\\alpha+\\beta$是第\\blank{20}象限的角.",
+        "objs": [],
+        "tags": [
+            "第三单元"
+        ],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "新教材必修第二册习题-20240311修改",
+        "edit": [
+            "20220806\t王伟叶",
+            "20240311\t吴轩萍"
+        ],
+        "same": [],
+        "related": [
+            "010249"
+        ],
+        "remark": "",
+        "space": "",
+        "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.",