From 05aff5ed5d1845aa5cee7223564a60ae73d449b4 Mon Sep 17 00:00:00 2001
From: WangWeiye <kj_wangweiye@126.com>
Date: Mon, 24 Apr 2023 14:51:51 +0800
Subject: [PATCH] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=E9=AB=98=E4=B8=89=E5=91=A8?=
 =?UTF-8?q?=E6=9C=AB=E5=8D=B75=E6=95=B0=E6=8D=AE?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 工具/修改题目数据库.py                        |   2 +-
 .../小闲平台作业测验数据导入_2023届.ipynb     |   2 +-
 工具/文本文件/metadata.txt                    | 778 +++++++++++++++++-
 题库0.3/Problems.json                         | 315 ++++++-
 4 files changed, 1031 insertions(+), 66 deletions(-)

diff --git a/工具/修改题目数据库.py b/工具/修改题目数据库.py
index da26b966..9b132ced 100644
--- a/工具/修改题目数据库.py
+++ b/工具/修改题目数据库.py
@@ -1,6 +1,6 @@
 import os,re,json
 """这里编辑题号(列表)后将在vscode中打开窗口, 编辑后保存关闭, 随后运行第二个代码块"""
-problems = "13982"
+problems = "40504"
 
 def generate_number_set(string,dict):
     string = re.sub(r"[\n\s]","",string)
diff --git a/工具/分年级专用工具/小闲平台作业测验数据导入_2023届.ipynb b/工具/分年级专用工具/小闲平台作业测验数据导入_2023届.ipynb
index a8abe3b4..13a9c866 100644
--- a/工具/分年级专用工具/小闲平台作业测验数据导入_2023届.ipynb
+++ b/工具/分年级专用工具/小闲平台作业测验数据导入_2023届.ipynb
@@ -14,7 +14,7 @@
     "filepath = \"数据导入作业文件\"\n",
     "\n",
     "# date = str(time.localtime().tm_year)+str(time.localtime().tm_mon).zfill(2)+str(time.localtime().tm_mday).zfill(2)\n",
-    "date = \"20230418\"\n",
+    "date = \"20230417\"\n",
     "\n",
     "#生成文件名tex_file和zip_file\n",
     "files = [os.path.join(filepath,f) for f in os.listdir(filepath)]\n",
diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt
index 8d061f25..a24c6e42 100644
--- a/工具/文本文件/metadata.txt
+++ b/工具/文本文件/metadata.txt
@@ -1,66 +1,758 @@
-ans
+usages
 
+040464
+20230417	2023届高三10班	0.929
 
-15248
-$\sqrt{10}$
+040465
+20230417	2023届高三10班	1.000
 
-15249
-$(0,+\infty)$
+040466
+20230417	2023届高三10班	0.821
 
-15250
-$11$
+040467
+20230417	2023届高三10班	0.964
 
-15251
-$-10$
+040468
+20230417	2023届高三10班	0.857
 
-15252
-$-\sin(x-\dfrac\pi 3)$
+040469
+20230417	2023届高三10班	0.964
 
-15253
-$-1$
+040470
+20230417	2023届高三10班	0.821
 
-15254
-$112$
+040471
+20230417	2023届高三10班	0.929
 
-15255
-$5$
+040472
+20230417	2023届高三10班	0.893
 
-15256
-$2\sqrt{2}$
+040473
+20230417	2023届高三10班	0.607
 
-15257
-$(0,\dfrac{4}{\mathrm{e}^2})$
+040474
+20230417	2023届高三10班	0.607
 
-15258
-$17$
+040475
+20230417	2023届高三10班	0.357
 
-15259
-$8$
+040476
+20230417	2023届高三10班	0.893
 
-15260
-A
+040477
+20230417	2023届高三10班	1.000
 
-15261
-D
+040478
+20230417	2023届高三10班	1.000
 
-15262
-D
+040479
+20230417	2023届高三10班	0.821
 
-15263
-B
+040480
+20230417	2023届高三10班	1.000	0.857
 
-15264
-(1) $y=1$; (2) 最大值为$\mathrm{e}-1$, 最小值为$1$
+040481
+20230417	2023届高三10班	0.964	0.893
 
-15265
-(1) $\arcsin\dfrac{\sqrt{6}}6$; (2) $\arccos\dfrac{2\sqrt{5}}5$或$\pi-\arccos\dfrac{2\sqrt{5}}5$
+040482
+20230417	2023届高三10班	0.821	0.821
 
-15266
-(1) 在$(0,1]$上是严格减函数, 在$[1,+\infty)$上是严格增函数; (2) $(0,\dfrac{8}{13}]\cup [\sqrt{6},+\infty)$
+040483
+20230417	2023届高三10班	0.893	0.714	0.321
 
-15267
-(1) $43956$; (2) $4^{99}$; (3) 当$m\in (12,\dfrac{243}{19})$时, 最大项为第$81$项; 当$m=\dfrac{243}{19}$时, 最大项为第$81$项与第$82$项; 当$m\in (\dfrac{243}{19},13)$时, 最大项为第$82$项
+040484
+20230417	2023届高三10班	0.857	0.679	0.250
 
-15268
-(1) $M(0,1-a,0)$, $N(\lambda a,0,0)$, $Q(\lambda,1,1)$; (2) $\lambda = \dfrac{2\sqrt{11}}{11}$; (3) 证明略
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+20230417	2023届高三08班	0.833
+
+040480
+20230417	2023届高三08班	1.000	0.958
+
+040481
+20230417	2023届高三08班	0.792	0.583
+
+040482
+20230417	2023届高三08班	0.750	0.833
+
+040483
+20230417	2023届高三08班	0.833	0.750	0.417
+
+040484
+20230417	2023届高三08班	0.958	0.708	0.083
+
+040464
+20230417	2023届高三09班	0.955
+
+040465
+20230417	2023届高三09班	1.000
+
+040466
+20230417	2023届高三09班	0.818
+
+040467
+20230417	2023届高三09班	0.955
+
+040468
+20230417	2023届高三09班	0.818
+
+040469
+20230417	2023届高三09班	1.000
+
+040470
+20230417	2023届高三09班	0.864
+
+040471
+20230417	2023届高三09班	0.909
+
+040472
+20230417	2023届高三09班	0.864
+
+040473
+20230417	2023届高三09班	0.409
+
+040474
+20230417	2023届高三09班	0.409
+
+040475
+20230417	2023届高三09班	0.273
+
+040476
+20230417	2023届高三09班	0.864
+
+040477
+20230417	2023届高三09班	1.000
+
+040478
+20230417	2023届高三09班	1.000
+
+040479
+20230417	2023届高三09班	0.545
+
+040480
+20230417	2023届高三09班	0.818	0.773
+
+040481
+20230417	2023届高三09班	0.955	0.864
+
+040482
+20230417	2023届高三09班	0.909	0.773
+
+040483
+20230417	2023届高三09班	0.864	0.591	0.227
+
+040484
+20230417	2023届高三09班	0.773	0.364	0.000
 
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 5db20910..f60adf61 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -472384,7 +472384,20 @@
         "ans": "$(-2,1]$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.929",
+            "20230417\t2023届高三11班\t0.905",
+            "20230417\t2023届高三12班\t0.905",
+            "20230417\t2023届高三01班\t0.963",
+            "20230417\t2023届高三02班\t0.935",
+            "20230417\t2023届高三03班\t0.826",
+            "20230417\t2023届高三04班\t0.857",
+            "20230417\t2023届高三05班\t0.973",
+            "20230417\t2023届高三06班\t0.789",
+            "20230417\t2023届高三07班\t0.955",
+            "20230417\t2023届高三08班\t0.958",
+            "20230417\t2023届高三09班\t0.955"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题1",
         "edit": [
             "20230401\t王伟叶"
@@ -472403,7 +472416,20 @@
         "ans": "$1$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t1.000",
+            "20230417\t2023届高三11班\t0.952",
+            "20230417\t2023届高三12班\t0.952",
+            "20230417\t2023届高三01班\t1.000",
+            "20230417\t2023届高三02班\t0.871",
+            "20230417\t2023届高三03班\t0.957",
+            "20230417\t2023届高三04班\t1.000",
+            "20230417\t2023届高三05班\t0.973",
+            "20230417\t2023届高三06班\t0.974",
+            "20230417\t2023届高三07班\t1.000",
+            "20230417\t2023届高三08班\t0.917",
+            "20230417\t2023届高三09班\t1.000"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题2",
         "edit": [
             "20230401\t王伟叶"
@@ -472424,7 +472450,20 @@
         "ans": "$\\dfrac{4 \\pi}{3}$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.821",
+            "20230417\t2023届高三11班\t0.714",
+            "20230417\t2023届高三12班\t0.667",
+            "20230417\t2023届高三01班\t0.704",
+            "20230417\t2023届高三02班\t0.774",
+            "20230417\t2023届高三03班\t0.696",
+            "20230417\t2023届高三04班\t0.571",
+            "20230417\t2023届高三05班\t0.784",
+            "20230417\t2023届高三06班\t0.895",
+            "20230417\t2023届高三07班\t0.682",
+            "20230417\t2023届高三08班\t0.917",
+            "20230417\t2023届高三09班\t0.818"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题3",
         "edit": [
             "20230401\t王伟叶"
@@ -472443,7 +472482,20 @@
         "ans": "$\\sqrt{3}$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.964",
+            "20230417\t2023届高三11班\t0.952",
+            "20230417\t2023届高三12班\t1.000",
+            "20230417\t2023届高三01班\t1.000",
+            "20230417\t2023届高三02班\t0.839",
+            "20230417\t2023届高三03班\t1.000",
+            "20230417\t2023届高三04班\t0.857",
+            "20230417\t2023届高三05班\t0.973",
+            "20230417\t2023届高三06班\t0.947",
+            "20230417\t2023届高三07班\t0.955",
+            "20230417\t2023届高三08班\t1.000",
+            "20230417\t2023届高三09班\t0.955"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题4",
         "edit": [
             "20230401\t王伟叶"
@@ -472464,7 +472516,20 @@
         "ans": "$(-\\infty,-2] \\cup[0,2]$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.857",
+            "20230417\t2023届高三11班\t0.857",
+            "20230417\t2023届高三12班\t0.809",
+            "20230417\t2023届高三01班\t0.889",
+            "20230417\t2023届高三02班\t0.935",
+            "20230417\t2023届高三03班\t0.913",
+            "20230417\t2023届高三04班\t0.905",
+            "20230417\t2023届高三05班\t0.973",
+            "20230417\t2023届高三06班\t0.868",
+            "20230417\t2023届高三07班\t0.591",
+            "20230417\t2023届高三08班\t0.958",
+            "20230417\t2023届高三09班\t0.818"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题5",
         "edit": [
             "20230401\t王伟叶"
@@ -472485,7 +472550,20 @@
         "ans": "$y^2=4 x$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.964",
+            "20230417\t2023届高三11班\t1.000",
+            "20230417\t2023届高三12班\t1.000",
+            "20230417\t2023届高三01班\t0.963",
+            "20230417\t2023届高三02班\t0.968",
+            "20230417\t2023届高三03班\t0.913",
+            "20230417\t2023届高三04班\t1.000",
+            "20230417\t2023届高三05班\t1.000",
+            "20230417\t2023届高三06班\t0.921",
+            "20230417\t2023届高三07班\t0.955",
+            "20230417\t2023届高三08班\t0.958",
+            "20230417\t2023届高三09班\t1.000"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题6",
         "edit": [
             "20230401\t王伟叶"
@@ -472506,7 +472584,20 @@
         "ans": "$\\dfrac{14}{15}$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.821",
+            "20230417\t2023届高三11班\t0.905",
+            "20230417\t2023届高三12班\t0.905",
+            "20230417\t2023届高三01班\t0.889",
+            "20230417\t2023届高三02班\t0.968",
+            "20230417\t2023届高三03班\t1.000",
+            "20230417\t2023届高三04班\t0.952",
+            "20230417\t2023届高三05班\t0.811",
+            "20230417\t2023届高三06班\t0.921",
+            "20230417\t2023届高三07班\t0.864",
+            "20230417\t2023届高三08班\t0.917",
+            "20230417\t2023届高三09班\t0.864"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题7",
         "edit": [
             "20230401\t王伟叶"
@@ -472525,7 +472616,20 @@
         "ans": "$5$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.929",
+            "20230417\t2023届高三11班\t0.905",
+            "20230417\t2023届高三12班\t0.809",
+            "20230417\t2023届高三01班\t0.926",
+            "20230417\t2023届高三02班\t0.806",
+            "20230417\t2023届高三03班\t0.913",
+            "20230417\t2023届高三04班\t0.809",
+            "20230417\t2023届高三05班\t0.838",
+            "20230417\t2023届高三06班\t0.895",
+            "20230417\t2023届高三07班\t0.864",
+            "20230417\t2023届高三08班\t0.917",
+            "20230417\t2023届高三09班\t0.909"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题8",
         "edit": [
             "20230401\t王伟叶"
@@ -472544,7 +472648,20 @@
         "ans": "$\\dfrac{6+2 \\sqrt{3}}{5}$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.893",
+            "20230417\t2023届高三11班\t0.952",
+            "20230417\t2023届高三12班\t0.714",
+            "20230417\t2023届高三01班\t1.000",
+            "20230417\t2023届高三02班\t0.935",
+            "20230417\t2023届高三03班\t0.913",
+            "20230417\t2023届高三04班\t0.952",
+            "20230417\t2023届高三05班\t0.973",
+            "20230417\t2023届高三06班\t0.868",
+            "20230417\t2023届高三07班\t0.909",
+            "20230417\t2023届高三08班\t0.917",
+            "20230417\t2023届高三09班\t0.864"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题9",
         "edit": [
             "20230401\t王伟叶"
@@ -472563,7 +472680,20 @@
         "ans": "$2-2^{2024}$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.607",
+            "20230417\t2023届高三11班\t0.381",
+            "20230417\t2023届高三12班\t0.714",
+            "20230417\t2023届高三01班\t0.778",
+            "20230417\t2023届高三02班\t0.742",
+            "20230417\t2023届高三03班\t0.957",
+            "20230417\t2023届高三04班\t0.619",
+            "20230417\t2023届高三05班\t0.838",
+            "20230417\t2023届高三06班\t0.816",
+            "20230417\t2023届高三07班\t0.773",
+            "20230417\t2023届高三08班\t0.667",
+            "20230417\t2023届高三09班\t0.409"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题10",
         "edit": [
             "20230401\t王伟叶"
@@ -472582,7 +472712,20 @@
         "ans": "$\\dfrac{2 \\sqrt{3}}{3}$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.607",
+            "20230417\t2023届高三11班\t0.571",
+            "20230417\t2023届高三12班\t0.714",
+            "20230417\t2023届高三01班\t0.963",
+            "20230417\t2023届高三02班\t0.839",
+            "20230417\t2023届高三03班\t0.870",
+            "20230417\t2023届高三04班\t0.714",
+            "20230417\t2023届高三05班\t0.838",
+            "20230417\t2023届高三06班\t0.789",
+            "20230417\t2023届高三07班\t0.636",
+            "20230417\t2023届高三08班\t0.792",
+            "20230417\t2023届高三09班\t0.409"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题11",
         "edit": [
             "20230401\t王伟叶"
@@ -472601,7 +472744,20 @@
         "ans": "$6+4 \\sqrt{2}$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.357",
+            "20230417\t2023届高三11班\t0.191",
+            "20230417\t2023届高三12班\t0.429",
+            "20230417\t2023届高三01班\t0.778",
+            "20230417\t2023届高三02班\t0.419",
+            "20230417\t2023届高三03班\t0.783",
+            "20230417\t2023届高三04班\t0.571",
+            "20230417\t2023届高三05班\t0.513",
+            "20230417\t2023届高三06班\t0.447",
+            "20230417\t2023届高三07班\t0.227",
+            "20230417\t2023届高三08班\t0.250",
+            "20230417\t2023届高三09班\t0.273"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题12",
         "edit": [
             "20230401\t王伟叶"
@@ -472620,7 +472776,20 @@
         "ans": "B",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.893",
+            "20230417\t2023届高三11班\t0.857",
+            "20230417\t2023届高三12班\t1.000",
+            "20230417\t2023届高三01班\t0.852",
+            "20230417\t2023届高三02班\t0.871",
+            "20230417\t2023届高三03班\t1.000",
+            "20230417\t2023届高三04班\t0.952",
+            "20230417\t2023届高三05班\t0.865",
+            "20230417\t2023届高三06班\t0.842",
+            "20230417\t2023届高三07班\t0.955",
+            "20230417\t2023届高三08班\t0.875",
+            "20230417\t2023届高三09班\t0.864"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题13",
         "edit": [
             "20230401\t王伟叶"
@@ -472639,7 +472808,20 @@
         "ans": "D",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t1.000",
+            "20230417\t2023届高三11班\t1.000",
+            "20230417\t2023届高三12班\t0.952",
+            "20230417\t2023届高三01班\t0.963",
+            "20230417\t2023届高三02班\t1.000",
+            "20230417\t2023届高三03班\t0.957",
+            "20230417\t2023届高三04班\t0.905",
+            "20230417\t2023届高三05班\t0.973",
+            "20230417\t2023届高三06班\t1.000",
+            "20230417\t2023届高三07班\t0.955",
+            "20230417\t2023届高三08班\t0.958",
+            "20230417\t2023届高三09班\t1.000"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题14",
         "edit": [
             "20230401\t王伟叶"
@@ -472658,7 +472840,20 @@
         "ans": "C",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t1.000",
+            "20230417\t2023届高三11班\t0.905",
+            "20230417\t2023届高三12班\t1.000",
+            "20230417\t2023届高三01班\t0.889",
+            "20230417\t2023届高三02班\t0.935",
+            "20230417\t2023届高三03班\t1.000",
+            "20230417\t2023届高三04班\t1.000",
+            "20230417\t2023届高三05班\t0.973",
+            "20230417\t2023届高三06班\t0.974",
+            "20230417\t2023届高三07班\t0.955",
+            "20230417\t2023届高三08班\t0.917",
+            "20230417\t2023届高三09班\t1.000"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题15",
         "edit": [
             "20230401\t王伟叶"
@@ -472679,7 +472874,20 @@
         "ans": "B",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.821",
+            "20230417\t2023届高三11班\t0.667",
+            "20230417\t2023届高三12班\t0.619",
+            "20230417\t2023届高三01班\t0.889",
+            "20230417\t2023届高三02班\t0.806",
+            "20230417\t2023届高三03班\t1.000",
+            "20230417\t2023届高三04班\t0.952",
+            "20230417\t2023届高三05班\t0.919",
+            "20230417\t2023届高三06班\t0.895",
+            "20230417\t2023届高三07班\t0.682",
+            "20230417\t2023届高三08班\t0.833",
+            "20230417\t2023届高三09班\t0.545"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题16",
         "edit": [
             "20230401\t王伟叶"
@@ -472698,7 +472906,20 @@
         "ans": "(1) 略; (2) $\\arccos \\dfrac{2}{3}$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t1.000\t0.857",
+            "20230417\t2023届高三11班\t0.905\t0.905",
+            "20230417\t2023届高三12班\t0.952\t0.952",
+            "20230417\t2023届高三01班\t1.000\t0.926",
+            "20230417\t2023届高三02班\t1.000\t0.968",
+            "20230417\t2023届高三03班\t0.870\t0.870",
+            "20230417\t2023届高三04班\t0.952\t0.809",
+            "20230417\t2023届高三05班\t1.000\t0.865",
+            "20230417\t2023届高三06班\t1.000\t0.921",
+            "20230417\t2023届高三07班\t1.000\t0.773",
+            "20230417\t2023届高三08班\t1.000\t0.958",
+            "20230417\t2023届高三09班\t0.818\t0.773"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题17",
         "edit": [
             "20230401\t王伟叶"
@@ -472717,7 +472938,20 @@
         "ans": "(1) $[k \\pi-\\dfrac{3 \\pi}{8}, k \\pi+\\dfrac{\\pi}{8}]$,  $k \\in \\mathbf{Z}$; (2) $\\{x | x=\\dfrac{k \\pi}{2}+\\dfrac{\\pi}{8},\\ k \\in \\mathbf{Z}\\}$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.964\t0.893",
+            "20230417\t2023届高三11班\t0.952\t0.667",
+            "20230417\t2023届高三12班\t0.905\t0.905",
+            "20230417\t2023届高三01班\t0.852\t0.704",
+            "20230417\t2023届高三02班\t1.000\t0.806",
+            "20230417\t2023届高三03班\t0.957\t0.696",
+            "20230417\t2023届高三04班\t0.905\t0.476",
+            "20230417\t2023届高三05班\t0.757\t0.622",
+            "20230417\t2023届高三06班\t0.895\t0.500",
+            "20230417\t2023届高三07班\t0.955\t0.682",
+            "20230417\t2023届高三08班\t0.792\t0.583",
+            "20230417\t2023届高三09班\t0.955\t0.864"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题18",
         "edit": [
             "20230401\t王伟叶"
@@ -472736,7 +472970,20 @@
         "ans": "(1) $1.4$米; (2) $\\arcsin \\dfrac{5 \\sqrt{3}}{14}$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.821\t0.821",
+            "20230417\t2023届高三11班\t1.000\t1.000",
+            "20230417\t2023届高三12班\t0.952\t0.857",
+            "20230417\t2023届高三01班\t0.815\t0.889",
+            "20230417\t2023届高三02班\t0.903\t0.903",
+            "20230417\t2023届高三03班\t1.000\t1.000",
+            "20230417\t2023届高三04班\t0.857\t0.762",
+            "20230417\t2023届高三05班\t0.919\t0.892",
+            "20230417\t2023届高三06班\t0.974\t0.921",
+            "20230417\t2023届高三07班\t0.909\t0.818",
+            "20230417\t2023届高三08班\t0.750\t0.833",
+            "20230417\t2023届高三09班\t0.909\t0.773"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题19",
         "edit": [
             "20230401\t王伟叶"
@@ -472755,7 +473002,20 @@
         "ans": "(1) $\\dfrac{6 \\sqrt{5}}{5}$; (2) 略; (3) $\\dfrac{3 \\sqrt{3}}{4}$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.893\t0.714\t0.321",
+            "20230417\t2023届高三11班\t0.857\t0.619\t0.333",
+            "20230417\t2023届高三12班\t0.905\t0.857\t0.476",
+            "20230417\t2023届高三01班\t0.926\t1.000\t0.815",
+            "20230417\t2023届高三02班\t0.935\t0.774\t0.548",
+            "20230417\t2023届高三03班\t0.957\t0.957\t0.522",
+            "20230417\t2023届高三04班\t0.857\t0.952\t0.476",
+            "20230417\t2023届高三05班\t1.000\t0.919\t0.568",
+            "20230417\t2023届高三06班\t0.816\t0.868\t0.474",
+            "20230417\t2023届高三07班\t0.955\t0.773\t0.273",
+            "20230417\t2023届高三08班\t0.833\t0.750\t0.417",
+            "20230417\t2023届高三09班\t0.864\t0.591\t0.227"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题20",
         "edit": [
             "20230401\t王伟叶"
@@ -472774,7 +473034,20 @@
         "ans": "(1) 略; (2) $a_n=\\dfrac{(n+3)(n+4)}{2}$, $b_n=\\dfrac{(n+4)^2}{2}$; (3) $(-\\infty,1]$",
         "solution": "",
         "duration": -1,
-        "usages": [],
+        "usages": [
+            "20230417\t2023届高三10班\t0.857\t0.679\t0.250",
+            "20230417\t2023届高三11班\t0.952\t0.619\t0.095",
+            "20230417\t2023届高三12班\t0.857\t0.714\t0.191",
+            "20230417\t2023届高三01班\t1.000\t0.963\t0.741",
+            "20230417\t2023届高三02班\t0.903\t0.710\t0.194",
+            "20230417\t2023届高三03班\t0.957\t0.826\t0.435",
+            "20230417\t2023届高三04班\t1.000\t0.429\t0.333",
+            "20230417\t2023届高三05班\t0.919\t0.622\t0.216",
+            "20230417\t2023届高三06班\t0.974\t0.816\t0.237",
+            "20230417\t2023届高三07班\t1.000\t0.409\t0.136",
+            "20230417\t2023届高三08班\t0.958\t0.708\t0.083",
+            "20230417\t2023届高三09班\t0.773\t0.364\t0.000"
+        ],
         "origin": "2023届交大附中高三数学卓越测试(2022303)试题21",
         "edit": [
             "20230401\t王伟叶"