From 8a281314b30b82acf11d1c0bc37d24cb20aa36be Mon Sep 17 00:00:00 2001
From: "weiye.wang" <kj_wangweiye@126.com>
Date: Fri, 21 Apr 2023 20:31:29 +0800
Subject: [PATCH] =?UTF-8?q?=E5=BD=95=E5=85=A5=E9=AB=98=E4=BA=8C=E6=9C=9F?=
 =?UTF-8?q?=E4=B8=AD=E8=80=83=E8=AF=95=E7=AD=94=E6=A1=88?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 工具/文本文件/metadata.txt | 319 ++++++-------------------------------
 题库0.3/Problems.json      |  42 ++---
 2 files changed, 66 insertions(+), 295 deletions(-)

diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt
index 6b1affc6..8d061f25 100644
--- a/工具/文本文件/metadata.txt
+++ b/工具/文本文件/metadata.txt
@@ -1,295 +1,66 @@
-usages
-015269
-20230418	2025届高一01班	0.833
-20230418	2025届高一02班	0.927
-20230418	2025届高一03班	0.927
-20230418	2025届高一04班	0.877
-20230418	2025届高一05班	0.903
-20230418	2025届高一06班	0.927
-20230418	2025届高一07班	0.930
-20230418	2025届高一08班	0.973
-20230418	2025届高一09班	0.953
-20230418	2025届高一10班	0.950
-20230418	2025届高一11班	1.000
-20230418	2025届高一12班	0.977
+ans
 
-015270
-20230418	2025届高一01班	0.930
-20230418	2025届高一02班	0.950
-20230418	2025届高一03班	0.977
-20230418	2025届高一04班	1.000
-20230418	2025届高一05班	0.977
-20230418	2025届高一06班	1.000
-20230418	2025届高一07班	0.977
-20230418	2025届高一08班	1.000
-20230418	2025届高一09班	0.977
-20230418	2025届高一10班	0.950
-20230418	2025届高一11班	1.000
-20230418	2025届高一12班	1.000
 
-015271
-20230418	2025届高一01班	0.977
-20230418	2025届高一02班	0.977
-20230418	2025届高一03班	0.977
-20230418	2025届高一04班	0.927
-20230418	2025届高一05班	1.000
-20230418	2025届高一06班	0.950
-20230418	2025届高一07班	0.953
-20230418	2025届高一08班	0.973
-20230418	2025届高一09班	0.953
-20230418	2025届高一10班	1.000
-20230418	2025届高一11班	1.000
-20230418	2025届高一12班	1.000
+15248
+$\sqrt{10}$
 
-015272
-20230418	2025届高一01班	1.000
-20230418	2025届高一02班	0.927
-20230418	2025届高一03班	0.950
-20230418	2025届高一04班	0.830
-20230418	2025届高一05班	0.903
-20230418	2025届高一06班	0.903
-20230418	2025届高一07班	1.000
-20230418	2025届高一08班	0.947
-20230418	2025届高一09班	0.953
-20230418	2025届高一10班	0.977
-20230418	2025届高一11班	0.953
-20230418	2025届高一12班	0.933
+15249
+$(0,+\infty)$
 
-015273
-20230418	2025届高一01班	0.763
-20230418	2025届高一02班	0.780
-20230418	2025届高一03班	0.830
-20230418	2025届高一04班	0.877
-20230418	2025届高一05班	0.853
-20230418	2025届高一06班	0.803
-20230418	2025届高一07班	0.737
-20230418	2025届高一08班	0.817
-20230418	2025届高一09班	0.860
-20230418	2025届高一10班	0.927
-20230418	2025届高一11班	0.883
-20230418	2025届高一12班	0.887
+15250
+$11$
 
-015274
-20230418	2025届高一01班	0.667
-20230418	2025届高一02班	0.757
-20230418	2025届高一03班	0.803
-20230418	2025届高一04班	0.780
-20230418	2025届高一05班	0.877
-20230418	2025届高一06班	0.780
-20230418	2025届高一07班	0.787
-20230418	2025届高一08班	0.710
-20230418	2025届高一09班	0.743
-20230418	2025届高一10班	0.877
-20230418	2025届高一11班	0.907
-20230418	2025届高一12班	0.933
+15251
+$-10$
 
-015275
-20230418	2025届高一01班	0.570
-20230418	2025届高一02班	0.733
-20230418	2025届高一03班	0.707
-20230418	2025届高一04班	0.633
-20230418	2025届高一05班	0.463
-20230418	2025届高一06班	0.487
-20230418	2025届高一07班	0.667
-20230418	2025届高一08班	0.607
-20230418	2025届高一09班	0.510
-20230418	2025届高一10班	0.733
-20230418	2025届高一11班	0.767
-20230418	2025届高一12班	0.703
+15252
+$-\sin(x-\dfrac\pi 3)$
 
-015276
-20230418	2025届高一01班	0.833
-20230418	2025届高一02班	0.780
-20230418	2025届高一03班	0.707
-20230418	2025届高一04班	0.780
-20230418	2025届高一05班	0.757
-20230418	2025届高一06班	0.660
-20230418	2025届高一07班	0.737
-20230418	2025届高一08班	0.710
-20230418	2025届高一09班	0.813
-20230418	2025届高一10班	0.903
-20230418	2025届高一11班	0.907
-20230418	2025届高一12班	0.953
+15253
+$-1$
 
-015277
-20230418	2025届高一01班	0.403
-20230418	2025届高一02班	0.293
-20230418	2025届高一03班	0.293
-20230418	2025届高一04班	0.413
-20230418	2025届高一05班	0.340
-20230418	2025届高一06班	0.440
-20230418	2025届高一07班	0.310
-20230418	2025届高一08班	0.317
-20230418	2025届高一09班	0.490
-20230418	2025届高一10班	0.513
-20230418	2025届高一11班	0.533
-20230418	2025届高一12班	0.637
+15254
+$112$
 
-015278
-20230418	2025届高一01班	0.620
-20230418	2025届高一02班	0.587
-20230418	2025届高一03班	0.367
-20230418	2025届高一04班	0.587
-20230418	2025届高一05班	0.463
-20230418	2025届高一06班	0.513
-20230418	2025届高一07班	0.500
-20230418	2025届高一08班	0.553
-20230418	2025届高一09班	0.650
-20230418	2025届高一10班	0.633
-20230418	2025届高一11班	0.697
-20230418	2025届高一12班	0.773
+15255
+$5$
 
-015279
-20230418	2025届高一01班	0.357
-20230418	2025届高一02班	0.340
-20230418	2025届高一03班	0.243
-20230418	2025届高一04班	0.463
-20230418	2025届高一05班	0.560
-20230418	2025届高一06班	0.293
-20230418	2025届高一07班	0.380
-20230418	2025届高一08班	0.290
-20230418	2025届高一09班	0.443
-20230418	2025届高一10班	0.587
-20230418	2025届高一11班	0.533
-20230418	2025届高一12班	0.613
+15256
+$2\sqrt{2}$
 
-015280
-20230418	2025届高一01班	0.287
-20230418	2025届高一02班	0.097
-20230418	2025届高一03班	0.220
-20230418	2025届高一04班	0.220
-20230418	2025届高一05班	0.317
-20230418	2025届高一06班	0.243
-20230418	2025届高一07班	0.190
-20230418	2025届高一08班	0.183
-20230418	2025届高一09班	0.257
-20230418	2025届高一10班	0.487
-20230418	2025届高一11班	0.533
-20230418	2025届高一12班	0.477
+15257
+$(0,\dfrac{4}{\mathrm{e}^2})$
 
-015281
-20230418	2025届高一01班	0.737
-20230418	2025届高一02班	0.757
-20230418	2025届高一03班	0.853
-20230418	2025届高一04班	0.853
-20230418	2025届高一05班	0.830
-20230418	2025届高一06班	0.757
-20230418	2025届高一07班	0.930
-20230418	2025届高一08班	0.683
-20230418	2025届高一09班	0.767
-20230418	2025届高一10班	0.903
-20230418	2025届高一11班	0.883
-20230418	2025届高一12班	0.910
+15258
+$17$
 
-015282
-20230418	2025届高一01班	0.763
-20230418	2025届高一02班	0.610
-20230418	2025届高一03班	0.803
-20230418	2025届高一04班	0.853
-20230418	2025届高一05班	0.803
-20230418	2025届高一06班	0.803
-20230418	2025届高一07班	0.833
-20230418	2025届高一08班	0.737
-20230418	2025届高一09班	0.767
-20230418	2025届高一10班	0.903
-20230418	2025届高一11班	0.907
-20230418	2025届高一12班	0.840
+15259
+$8$
 
-015283
-20230418	2025届高一01班	0.453
-20230418	2025届高一02班	0.512
-20230418	2025届高一03班	0.830
-20230418	2025届高一04班	0.682
-20230418	2025届高一05班	0.682
-20230418	2025届高一06班	0.537
-20230418	2025届高一07班	0.547
-20230418	2025届高一08班	0.580
-20230418	2025届高一09班	0.650
-20230418	2025届高一10班	0.682
-20230418	2025届高一11班	0.767
-20230418	2025届高一12班	0.660
+15260
+A
 
-015284
-20230418	2025届高一01班	0.263
-20230418	2025届高一02班	0.318
-20230418	2025届高一03班	0.365
-20230418	2025届高一04班	0.170
-20230418	2025届高一05班	0.268
-20230418	2025届高一06班	0.245
-20230418	2025届高一07班	0.215
-20230418	2025届高一08班	0.105
-20230418	2025届高一09班	0.325
-20230418	2025届高一10班	0.292
-20230418	2025届高一11班	0.185
-20230418	2025届高一12班	0.340
+15261
+D
 
-015285
-20230418	2025届高一01班	0.940
-20230418	2025届高一02班	0.943
-20230418	2025届高一03班	0.979
-20230418	2025届高一04班	0.965
-20230418	2025届高一05班	0.939
-20230418	2025届高一06班	0.890
-20230418	2025届高一07班	0.955
-20230418	2025届高一08班	0.975
-20230418	2025届高一09班	0.975
-20230418	2025届高一10班	0.979
-20230418	2025届高一11班	0.985
-20230418	2025届高一12班	0.971
+15262
+D
 
-015286
-20230418	2025届高一01班	0.912	0.850
-20230418	2025届高一02班	0.935	0.905
-20230418	2025届高一03班	0.943	0.975
-20230418	2025届高一04班	0.995	0.932
-20230418	2025届高一05班	0.890	0.905
-20230418	2025届高一06班	0.892	0.930
-20230418	2025届高一07班	0.965	0.912
-20230418	2025届高一08班	0.948	0.935
-20230418	2025届高一09班	0.915	0.970
-20230418	2025届高一10班	0.948	0.950
-20230418	2025届高一11班	0.995	0.927
-20230418	2025届高一12班	0.917	0.983
+15263
+B
 
-015287
-20230418	2025届高一01班	0.976	0.512
-20230418	2025届高一02班	0.966	0.590
-20230418	2025届高一03班	0.964	0.504
-20230418	2025届高一04班	0.930	0.526
-20230418	2025届高一05班	0.966	0.580
-20230418	2025届高一06班	0.966	0.492
-20230418	2025届高一07班	0.950	0.488
-20230418	2025届高一08班	0.942	0.426
-20230418	2025届高一09班	0.958	0.612
-20230418	2025届高一10班	0.990	0.676
-20230418	2025届高一11班	0.990	0.724
-20230418	2025届高一12班	0.988	0.632
+15264
+(1) $y=1$; (2) 最大值为$\mathrm{e}-1$, 最小值为$1$
 
-015288
-20230418	2025届高一01班	0.863	0.502
-20230418	2025届高一02班	0.777	0.465
-20230418	2025届高一03班	0.858	0.542
-20230418	2025届高一04班	0.915	0.564
-20230418	2025届高一05班	0.915	0.637
-20230418	2025届高一06班	0.890	0.544
-20230418	2025届高一07班	0.875	0.514
-20230418	2025届高一08班	0.835	0.474
-20230418	2025届高一09班	0.833	0.517
-20230418	2025届高一10班	0.890	0.650
-20230418	2025届高一11班	0.953	0.685
-20230418	2025届高一12班	0.882	0.632
+15265
+(1) $\arcsin\dfrac{\sqrt{6}}6$; (2) $\arccos\dfrac{2\sqrt{5}}5$或$\pi-\arccos\dfrac{2\sqrt{5}}5$
 
-015289
-20230418	2025届高一01班	0.700	0.667	0.025
-20230418	2025届高一02班	0.640	0.568	0.022
-20230418	2025届高一03班	0.573	0.560	0.003
-20230418	2025届高一04班	0.627	0.555	0.005
-20230418	2025届高一05班	0.573	0.455	0.043
-20230418	2025届高一06班	0.625	0.427	0.013
-20230418	2025届高一07班	0.672	0.517	0.005
-20230418	2025届高一08班	0.535	0.398	0.007
-20230418	2025届高一09班	0.662	0.532	0.005
-20230418	2025届高一10班	0.750	0.695	0.040
-20230418	2025届高一11班	0.780	0.800	0.122
-20230418	2025届高一12班	0.770	0.710	0.037
+15266
+(1) 在$(0,1]$上是严格减函数, 在$[1,+\infty)$上是严格增函数; (2) $(0,\dfrac{8}{13}]\cup [\sqrt{6},+\infty)$
+
+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
+
+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
 
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 4a50b884..1f1094ea 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -376575,7 +376575,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\sqrt{10}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -376607,7 +376607,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(0,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -376639,7 +376639,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$11$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -376671,7 +376671,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-10$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -376703,7 +376703,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-\\sin(x-\\dfrac\\pi 3)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -376735,7 +376735,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -376767,7 +376767,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$112$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -376799,7 +376799,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$5$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -376831,7 +376831,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$2\\sqrt{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -376863,7 +376863,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(0,\\dfrac{4}{\\mathrm{e}^2})$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -376895,7 +376895,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$17$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -376927,7 +376927,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$8$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -376959,7 +376959,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -376991,7 +376991,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -377023,7 +377023,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -377055,7 +377055,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -377087,7 +377087,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $y=1$; (2) 最大值为$\\mathrm{e}-1$, 最小值为$1$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -377119,7 +377119,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\arcsin\\dfrac{\\sqrt{6}}6$; (2) $\\arccos\\dfrac{2\\sqrt{5}}5$或$\\pi-\\arccos\\dfrac{2\\sqrt{5}}5$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -377151,7 +377151,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 在$(0,1]$上是严格减函数, 在$[1,+\\infty)$上是严格增函数; (2) $(0,\\dfrac{8}{13}]\\cup [\\sqrt{6},+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -377183,7 +377183,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(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",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -377215,7 +377215,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(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",
         "solution": "",
         "duration": -1,
         "usages": [