W20260206新题收录(填空, 解答)

工具v2/文本文件/新题收录列表.txt

@@ -460,3 +460,6 @@
 20240322-123120 高二下学期周末卷05
 002112,002409,041079:041080,041088,003441,002417,041089:041091,023320,041092,023327,023321,004479,041093:041096
 
+20240325-153814 W20260206新题收录(填空, 解答)
+024747:024748
+

题库0.3/Problems.json

@@ -359514,7 +359514,9 @@
             "20221215\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024747"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -510641,7 +510643,9 @@
             "20230705\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024747"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -688891,6 +688895,51 @@
         "space": "4em",
         "unrelated": []
     },
+    "024747": {
+        "id": "024747",
+        "content": "函数$y=\\sin^2 x$的最小正周期为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240325\t赵琍琍"
+        ],
+        "same": [],
+        "related": [
+            "031314",
+            "018441",
+            "012596",
+            "040277"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024748": {
+        "id": "024748",
+        "content": "如图, 圆心在$O$处, 半径为$1$, 圆心角为$\\dfrac{\\pi}{2}$的扇形以直线$OP$为对称轴($P$在圆弧上). 设$A,B,A',B'$是扇形边界上的四点, 其中$A,A'$在扇形的两条半径上, $B,B'$在圆弧上, $AB\\parallel OP$, $AA'\\perp OP$, $BB'\\perp OP$. 用$\\theta = \\angle BOP$表示矩形$AA'B'A$的面积, 并求面积的最大值.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240325\t赵琍琍"
+        ],
+        "same": [],
+        "related": [],
+        "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.",
@@ -726824,7 +726873,9 @@
             "20230315\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024747"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -757209,7 +757260,8 @@
         ],
         "same": [],
         "related": [
-            "040269"
+            "040269",
+            "024747"
         ],
         "remark": "",
         "space": "",