From 3e8ffa67c21ce73b46db7fc925f5d2a4c19e1618 Mon Sep 17 00:00:00 2001
From: "weiye.wang" <kj_wangweiye@126.com>
Date: Sun, 4 Feb 2024 13:37:06 +0800
Subject: [PATCH] =?UTF-8?q?=E6=94=B6=E5=BD=95=E9=AB=98=E4=BA=8C=E5=AF=92?=
 =?UTF-8?q?=E5=81=87=E4=BD=9C=E4=B8=9A6?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 工具v2/文本文件/新题收录列表.txt |   3 +
 题库0.3/Problems.json            | 331 +++++++++++++++++++++++++++++--
 2 files changed, 316 insertions(+), 18 deletions(-)

diff --git a/工具v2/文本文件/新题收录列表.txt b/工具v2/文本文件/新题收录列表.txt
index 6b51d1dc..e7a96561 100644
--- a/工具v2/文本文件/新题收录列表.txt
+++ b/工具v2/文本文件/新题收录列表.txt
@@ -334,3 +334,6 @@
 20240204-132416 高二寒假作业5
 024476:024478,017842,011651,024479:024483,009311,022102,009344,024484:024488
 
+20240204-133650 高二寒假作业6
+024489:024496,040399,030028,013015,024497,013014,024498:024500,013033,016087
+
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index d3cb3414..d02eb268 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -3783,7 +3783,8 @@
         ],
         "same": [],
         "related": [
-            "008223"
+            "008223",
+            "024491"
         ],
         "remark": "",
         "space": "4em",
@@ -99168,7 +99169,9 @@
             "20220701\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024495"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -179043,7 +179046,9 @@
             "20220720\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024491"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -179709,7 +179714,9 @@
             "20220720\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024496"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -235027,7 +235034,8 @@
             "040108"
         ],
         "related": [
-            "000099"
+            "000099",
+            "024491"
         ],
         "remark": "",
         "space": "4em",
@@ -270183,7 +270191,9 @@
             "20220730\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024493"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -288115,7 +288125,9 @@
             "20220806\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024489"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -399434,7 +399446,9 @@
             "20230131\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024496"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -442034,7 +442048,8 @@
         ],
         "same": [],
         "related": [
-            "023781"
+            "023781",
+            "024489"
         ],
         "remark": "",
         "space": "4em",
@@ -498266,7 +498281,9 @@
             "20230705\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024492"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -498948,7 +498965,9 @@
             "20230705\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024491"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -521861,7 +521880,9 @@
             "20230730\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024500"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -581978,7 +581999,8 @@
         ],
         "same": [],
         "related": [
-            "023781"
+            "023781",
+            "024489"
         ],
         "remark": "",
         "space": "4em",
@@ -647448,7 +647470,8 @@
         "same": [],
         "related": [
             "021463",
-            "015905"
+            "015905",
+            "024489"
         ],
         "remark": "",
         "space": "",
@@ -648734,7 +648757,8 @@
         ],
         "same": [],
         "related": [
-            "008197"
+            "008197",
+            "024493"
         ],
         "remark": "",
         "space": "",
@@ -663203,6 +663227,271 @@
         "space": "4em",
         "unrelated": []
     },
+    "024489": {
+        "id": "024489",
+        "content": "设一个扇形的周长是 16 , 其面积是 12 , 则它的圆心角的大小为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240204\t杨懿荔"
+        ],
+        "same": [],
+        "related": [
+            "010223",
+            "023781",
+            "021463",
+            "015905"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024490": {
+        "id": "024490",
+        "content": "已知点 $P(\\tan \\alpha, \\sin \\alpha)$ 在第三象限, 则角 $\\alpha$ 的终边在\\blank{50}第象限;",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240204\t杨懿荔"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024491": {
+        "id": "024491",
+        "content": "化简 $\\dfrac{\\sin (\\pi-\\theta) \\cdot \\cos (\\dfrac{3 \\pi}{2}-\\theta) \\cdot \\tan \\theta}{\\cos (2 \\pi-\\theta) \\cdot \\cot (\\theta-\\dfrac{\\pi}{2}) \\cdot \\sin (\\dfrac{\\pi}{2}-\\theta)}=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240204\t杨懿荔"
+        ],
+        "same": [],
+        "related": [
+            "018429",
+            "040108",
+            "008223",
+            "005978",
+            "000099"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024492": {
+        "id": "024492",
+        "content": "设 $\\sin (\\dfrac{\\pi}{4}+\\theta)=\\dfrac{1}{3}$, 则 $\\sin 2 \\theta=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240204\t杨懿荔"
+        ],
+        "same": [],
+        "related": [
+            "018398"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024493": {
+        "id": "024493",
+        "content": "在 $\\triangle ABC$ 中, 三边为 $a=2$, $b=3$, $c=4$, 则最大角的余弦值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240204\t杨懿荔"
+        ],
+        "same": [],
+        "related": [
+            "009584",
+            "023837"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024494": {
+        "id": "024494",
+        "content": "在 $\\triangle ABC$ 中, 若 $A=30^\\circ$, $C=135^\\circ$, $a=1$, 则 $c=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240204\t杨懿荔"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024495": {
+        "id": "024495",
+        "content": "函数 $y=\\sin x-\\sqrt{3}\\cos x$, $x \\in[-\\dfrac{\\pi}{6}, \\dfrac{\\pi}{2})$ 的值域是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240204\t杨懿荔"
+        ],
+        "same": [],
+        "related": [
+            "003149",
+            "040403",
+            "040688"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024496": {
+        "id": "024496",
+        "content": "函数 $y=\\sin ^2 x+2 \\cos x$ 的值域是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240204\t杨懿荔"
+        ],
+        "same": [],
+        "related": [
+            "014271",
+            "006007"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024497": {
+        "id": "024497",
+        "content": "已知在 $\\triangle ABC$ 中, 角 $A, B, C$ 所对的边分别为 $a, b, c$. 若 $a=1$, $\\angle B=45^{\\circ}$, 三角形的面积 $S_{\\triangle ABC}=2$, 那么 $\\triangle ABC$ 的外接圆直径等于\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240204\t杨懿荔"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024498": {
+        "id": "024498",
+        "content": "把函数 $y=\\sin (\\omega x+\\varphi)$, ($\\omega>0$, $|\\varphi|<\\pi$) 的图像向左平移 $\\dfrac{\\pi}{6}$ 个单位, 所得图像解析式为 $y=\\sin x$, 则$\\varphi=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240204\t杨懿荔"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024499": {
+        "id": "024499",
+        "content": "在 $\\triangle ABC$ 中, 角 $A,B,C$ 的对边分别 $a,b,c$, 已知 $a+b=5$, $c=\\sqrt{7}$, 且 $\\sin ^22C+\\sin 2C \\cdot \\sin C+\\cos 2C=1$.\\\\\n(1) 求角 $C$ 的大小;\\\\\n(2) 求 $\\triangle ABC$ 的面积.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240204\t杨懿荔"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "024500": {
+        "id": "024500",
+        "content": "已知函数 $f(x)=\\cos (2 x-\\dfrac{\\pi}{3})+2 \\sin (x-\\dfrac{\\pi}{4}) \\sin (x+\\dfrac{\\pi}{4})$.\\\\\n(1) 求函数 $f(x)$ 的最小正周期和图像的对称轴方程;\\\\\n(2) 求函数 $f(x)$ 在区间 $[-\\dfrac{\\pi}{12}, \\dfrac{\\pi}{2}]$ 上的值域.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240204\t杨懿荔"
+        ],
+        "same": [],
+        "related": [
+            "019446"
+        ],
+        "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.",
@@ -722206,7 +722495,9 @@
         "same": [
             "008223"
         ],
-        "related": [],
+        "related": [
+            "024491"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -729940,7 +730231,9 @@
             "20230330\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024495"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -737445,7 +737738,9 @@
             "20230428\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024495"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []