录入E20260201新题

工具v2/文本文件/新题收录列表.txt

@@ -421,3 +421,6 @@
 20240311-141520
 024718
 
+20240311-162017
+024722
+

题库0.3/Problems.json

@@ -597455,7 +597455,9 @@
             "20230209\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024722"
+        ],
         "remark": "\\\\\n(20240305)错因: 没写清楚具体角度的三角比的符号的判断过程; 解方程没验根",
         "space": "4em",
         "unrelated": []
@@ -684260,6 +684262,28 @@
         "space": "",
         "unrelated": []
     },
+    "024722": {
+        "id": "024722",
+        "content": "设$\\alpha\\in (-\\dfrac{\\pi}{2},\\dfrac{\\pi}{2})$, 且满足$\\cos(\\alpha-\\dfrac{\\pi}{6})=-\\dfrac{1}{3}$, 求$\\sin\\alpha$的值.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240311\t吴轩萍"
+        ],
+        "same": [],
+        "related": [
+            "021538"
+        ],
+        "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.",