From c4db0b34e1a5bd9164a8cf430166fcdb857d7bef Mon Sep 17 00:00:00 2001 From: WangWeiye Date: Fri, 14 Apr 2023 09:53:14 +0800 Subject: [PATCH] =?UTF-8?q?=E5=BD=95=E5=85=A5=E7=AC=AC=E4=BA=8C=E8=BD=AE?= =?UTF-8?q?=E8=AE=B2=E4=B9=8915=E8=AF=BE=E5=89=8D=E8=AF=BE=E5=90=8E?= =?UTF-8?q?=E4=BD=BF=E7=94=A8=E7=BB=93=E6=9E=9C?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 工具/文本文件/metadata.txt | 884 +++++++++++-------------------------- 题库0.3/Problems.json | 323 ++++++++++++-- 2 files changed, 555 insertions(+), 652 deletions(-) diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt index 2451025b..fba9a8e2 100644 --- a/工具/文本文件/metadata.txt +++ b/工具/文本文件/metadata.txt @@ -1,758 +1,392 @@ usages -031332 -20230411 2023届高三10班 0.972 +013000 +20230411 2023届高三11班 0.762 -031333 -20230411 2023届高三10班 0.944 +012956 +20230411 2023届高三11班 0.809 -031334 -20230411 2023届高三10班 1.000 +014553 +20230411 2023届高三11班 0.905 -031335 -20230411 2023届高三10班 0.917 +012959 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2023届高三08班 0.767 - -031348 -20230411 2023届高三08班 0.561 0.971 - -031349 -20230411 2023届高三08班 0.978 0.738 - -031350 -20230411 2023届高三08班 0.917 0.750 - -031351 -20230411 2023届高三08班 0.542 0.439 0.121 - -031352 -20230411 2023届高三08班 0.583 0.289 0.033 - -031332 -20230411 2023届高三09班 1.000 - -031333 -20230411 2023届高三09班 0.933 - -031334 -20230411 2023届高三09班 1.000 - -031335 -20230411 2023届高三09班 0.833 - -031336 -20230411 2023届高三09班 0.700 - -031337 -20230411 2023届高三09班 0.767 - -031338 -20230411 2023届高三09班 1.000 - -031339 -20230411 2023届高三09班 0.733 - -031340 -20230411 2023届高三09班 0.733 - -031341 -20230411 2023届高三09班 0.133 - -031342 -20230411 2023届高三09班 0.000 - -031343 -20230411 2023届高三09班 0.100 - -031344 -20230411 2023届高三09班 0.933 - -031345 -20230411 2023届高三09班 1.000 - -031346 -20230411 2023届高三09班 0.600 - -031347 -20230411 2023届高三09班 0.567 - -031348 -20230411 2023届高三09班 0.600 0.833 - -031349 -20230411 2023届高三09班 0.917 0.667 - -031350 -20230411 2023届高三09班 0.860 0.358 - -031351 -20230411 2023届高三09班 0.617 0.328 0.079 - -031352 -20230411 2023届高三09班 0.358 0.011 0.033 +012938 +20230411 2023届高三09班 0.630 0.074 diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 90f21aff..a4d61af2 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -321687,7 +321687,16 @@ "ans": "$3018$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230403\t2023届高三11班\t0.632", + "20230403\t2023届高三12班\t0.714", + "20230403\t2023届高三02班\t0.800", + "20230403\t2023届高三04班\t0.708", + "20230403\t2023届高三05班\t0.811", + "20230403\t2023届高三07班\t0.852", + "20230403\t2023届高三08班\t0.920", + "20230403\t2023届高三09班\t0.741" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -321902,7 +321911,16 @@ "ans": "$\\dfrac{n}{n+1}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230403\t2023届高三11班\t0.737", + "20230403\t2023届高三12班\t0.857", + "20230403\t2023届高三02班\t0.733", + "20230403\t2023届高三04班\t0.792", + "20230403\t2023届高三05班\t0.838", + "20230403\t2023届高三07班\t0.630", + "20230403\t2023届高三08班\t0.840", + "20230403\t2023届高三09班\t0.741" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -322001,7 +322019,18 @@ "ans": "$1830$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230411\t2023届高三11班\t0.524", + "20230411\t2023届高三12班\t0.900", + "20230411\t2023届高三02班\t0.645", + "20230411\t2023届高三03班\t0.800", + "20230411\t2023届高三04班\t0.615", + "20230411\t2023届高三05班\t0.694", + "20230411\t2023届高三06班\t0.692", + "20230411\t2023届高三07班\t0.633", + "20230411\t2023届高三08班\t0.682", + "20230411\t2023届高三09班\t0.630" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -322043,7 +322072,18 @@ "ans": "(1) $b_n=\\begin{cases} 2^{\\frac 32 n}, & n=2k, \\\\ 2^{\\frac{3n-1}2} & n=2k-1\\end{cases}$($k$为正整数); (2) $S_n=\\begin{cases} \\dfrac{10}{7}\\cdot 2^{\\frac 32 n}-\\dfrac{10}{7}, & n=2k, \\\\ \\dfrac{3}{7}\\cdot 2^{\\frac{3n+3}2}-\\dfrac{10}{7} & n=2k-1\\end{cases}$($k$为正整数)", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230411\t2023届高三11班\t0.857\t0.286", + "20230411\t2023届高三12班\t0.950\t0.350", + "20230411\t2023届高三02班\t0.871\t0.484", + "20230411\t2023届高三03班\t0.720\t0.440", + "20230411\t2023届高三04班\t0.731\t0.423", + "20230411\t2023届高三05班\t0.889\t0.611", + "20230411\t2023届高三06班\t0.846\t0.513", + "20230411\t2023届高三07班\t0.867\t0.433", + "20230411\t2023届高三08班\t0.318\t0.227", + "20230411\t2023届高三09班\t0.630\t0.074" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -322106,7 +322146,16 @@ "ans": "$\\dfrac{2}{19}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230403\t2023届高三11班\t0.737", + "20230403\t2023届高三12班\t0.762", + "20230403\t2023届高三02班\t0.833", + "20230403\t2023届高三04班\t0.917", + "20230403\t2023届高三05班\t0.865", + "20230403\t2023届高三07班\t0.852", + "20230403\t2023届高三08班\t0.880", + "20230403\t2023届高三09班\t0.741" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -322127,7 +322176,16 @@ "ans": "$\\begin{cases} 2, & n=1, \\\\ 2^{n-1} & n\\ge 2\\end{cases}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230403\t2023届高三11班\t0.737", + "20230403\t2023届高三12班\t0.429", + "20230403\t2023届高三02班\t0.800", + "20230403\t2023届高三04班\t0.958", + "20230403\t2023届高三05班\t0.649", + "20230403\t2023届高三07班\t0.481", + "20230403\t2023届高三08班\t0.920", + "20230403\t2023届高三09班\t0.593" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -322232,7 +322290,16 @@ "ans": "$\\begin{cases} 2, & n=1, \\\\ -\\dfrac{1}{3^{n-1}} & n\\ge 2\\end{cases}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230403\t2023届高三11班\t0.210", + "20230403\t2023届高三12班\t0.333", + "20230403\t2023届高三02班\t0.333", + "20230403\t2023届高三04班\t0.375", + "20230403\t2023届高三05班\t0.460", + "20230403\t2023届高三07班\t0.222", + "20230403\t2023届高三08班\t0.360", + "20230403\t2023届高三09班\t0.148" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -322460,7 +322527,18 @@ "ans": "$\\begin{cases} 4, & n=1, \\\\ 2 & n\\ge 2\\end{cases}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230411\t2023届高三11班\t0.809", + "20230411\t2023届高三12班\t0.650", + "20230411\t2023届高三02班\t0.839", + "20230411\t2023届高三03班\t0.880", + "20230411\t2023届高三04班\t0.962", + "20230411\t2023届高三05班\t0.583", + "20230411\t2023届高三06班\t0.872", + "20230411\t2023届高三07班\t0.633", + "20230411\t2023届高三08班\t0.591", + "20230411\t2023届高三09班\t0.741" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -322523,7 +322601,18 @@ "ans": "$\\begin{cases} 1, & n=1, \\\\ 2^{n-2} & n\\ge 2\\end{cases}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230411\t2023届高三11班\t0.524", + "20230411\t2023届高三12班\t0.450", + "20230411\t2023届高三02班\t0.903", + "20230411\t2023届高三03班\t0.840", + "20230411\t2023届高三04班\t0.885", + "20230411\t2023届高三05班\t0.556", + "20230411\t2023届高三06班\t0.692", + "20230411\t2023届高三07班\t0.767", + "20230411\t2023届高三08班\t0.500", + "20230411\t2023届高三09班\t0.741" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -322684,7 +322773,16 @@ "ans": "$8$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230403\t2023届高三11班\t0.947\t0.947", + "20230403\t2023届高三12班\t0.857\t0.905", + "20230403\t2023届高三02班\t0.900\t0.933", + "20230403\t2023届高三04班\t0.833\t0.958", + "20230403\t2023届高三05班\t0.973\t0.973", + "20230403\t2023届高三07班\t0.926\t1.000", + "20230403\t2023届高三08班\t0.960\t0.920", + "20230403\t2023届高三09班\t0.963\t0.963" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -322828,7 +322926,16 @@ "ans": "(1) 最大项为$a_{10}-b_{10}=8976$; (2) $\\{1,2,3,\\cdots,13\\}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230403\t2023届高三11班\t0.947\t0.737", + "20230403\t2023届高三12班\t0.857\t0.857", + "20230403\t2023届高三02班\t0.700\t0.733", + "20230403\t2023届高三04班\t0.583\t0.667", + "20230403\t2023届高三05班\t0.811\t0.811", + "20230403\t2023届高三07班\t0.741\t0.778", + "20230403\t2023届高三08班\t0.720\t0.760", + "20230403\t2023届高三09班\t0.778\t0.852" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -322946,7 +323053,16 @@ "ans": "$2^{\\frac{n(n-1)}{2}}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230403\t2023届高三11班\t0.842", + "20230403\t2023届高三12班\t0.809", + "20230403\t2023届高三02班\t0.700", + "20230403\t2023届高三04班\t0.833", + "20230403\t2023届高三05班\t0.757", + "20230403\t2023届高三07班\t0.852", + "20230403\t2023届高三08班\t0.960", + "20230403\t2023届高三09班\t0.778" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -322967,7 +323083,18 @@ "ans": "$0$; $-\\dfrac{63}{256}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230411\t2023届高三11班\t0.952\t0.952", + "20230411\t2023届高三12班\t1.000\t0.850", + "20230411\t2023届高三02班\t1.000\t0.903", + "20230411\t2023届高三03班\t0.960\t0.920", + "20230411\t2023届高三04班\t1.000\t0.846", + "20230411\t2023届高三05班\t0.972\t0.861", + "20230411\t2023届高三06班\t0.949\t0.846", + "20230411\t2023届高三07班\t0.967\t0.900", + "20230411\t2023届高三08班\t0.955\t0.636", + "20230411\t2023届高三09班\t1.000\t0.778" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -322988,7 +323115,16 @@ "ans": "$33$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230403\t2023届高三11班\t0.632", + "20230403\t2023届高三12班\t0.905", + "20230403\t2023届高三02班\t0.667", + "20230403\t2023届高三04班\t0.750", + "20230403\t2023届高三05班\t0.757", + "20230403\t2023届高三07班\t0.667", + "20230403\t2023届高三08班\t0.760", + "20230403\t2023届高三09班\t0.630" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -323100,7 +323236,18 @@ "ans": "$4$或$5$或$32$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230411\t2023届高三11班\t0.619", + "20230411\t2023届高三12班\t0.700", + "20230411\t2023届高三02班\t0.710", + "20230411\t2023届高三03班\t0.520", + "20230411\t2023届高三04班\t0.731", + "20230411\t2023届高三05班\t0.722", + "20230411\t2023届高三06班\t0.897", + "20230411\t2023届高三07班\t0.800", + "20230411\t2023届高三08班\t0.591", + "20230411\t2023届高三09班\t0.815" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -323121,7 +323268,18 @@ "ans": "(1) $(a_1,a_2)=(0,0)$或$(1-\\sqrt{2},2-\\sqrt{2})$或$(1+\\sqrt{2},2+\\sqrt{2})$; (2) 当$n=7$时$T_n$最大, $T_7=7-\\dfrac{21}{2}\\lg 2$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230411\t2023届高三11班\t0.714\t0.191", + "20230411\t2023届高三12班\t0.800\t0.500", + "20230411\t2023届高三02班\t0.742\t0.581", + "20230411\t2023届高三03班\t0.800\t0.720", + "20230411\t2023届高三04班\t0.577\t0.231", + "20230411\t2023届高三05班\t0.889\t0.611", + "20230411\t2023届高三06班\t0.769\t0.487", + "20230411\t2023届高三07班\t0.600\t0.233", + "20230411\t2023届高三08班\t0.455\t0.455", + "20230411\t2023届高三09班\t0.815\t0.333" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -323478,7 +323636,18 @@ "ans": "$\\dfrac 34-\\dfrac{2n+3}{2(n^2+3n+2)}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230411\t2023届高三11班\t0.762", + "20230411\t2023届高三12班\t0.850", + "20230411\t2023届高三02班\t0.774", + "20230411\t2023届高三03班\t0.640", + "20230411\t2023届高三04班\t0.692", + "20230411\t2023届高三05班\t0.861", + "20230411\t2023届高三06班\t0.744", + "20230411\t2023届高三07班\t0.733", + "20230411\t2023届高三08班\t0.727", + "20230411\t2023届高三09班\t0.704" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -323520,7 +323689,16 @@ "ans": "$2999$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230403\t2023届高三11班\t0.789", + "20230403\t2023届高三12班\t0.667", + "20230403\t2023届高三02班\t0.867", + "20230403\t2023届高三04班\t0.958", + "20230403\t2023届高三05班\t0.784", + "20230403\t2023届高三07班\t0.815", + "20230403\t2023届高三08班\t0.920", + "20230403\t2023届高三09班\t0.741" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -323583,7 +323761,16 @@ "ans": "$2^{n+1}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230403\t2023届高三11班\t0.579", + "20230403\t2023届高三12班\t0.809", + "20230403\t2023届高三02班\t0.867", + "20230403\t2023届高三04班\t0.792", + "20230403\t2023届高三05班\t0.784", + "20230403\t2023届高三07班\t0.778", + "20230403\t2023届高三08班\t0.960", + "20230403\t2023届高三09班\t0.741" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -323604,7 +323791,18 @@ "ans": "(1) $\\{f(n)\\}$是严格增数列, 证明略; (2) $(-1,0)\\cup (0,1)$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230411\t2023届高三11班\t0.762\t0.143", + "20230411\t2023届高三12班\t0.900\t0.250", + "20230411\t2023届高三02班\t0.806\t0.290", + "20230411\t2023届高三03班\t0.640\t0.120", + "20230411\t2023届高三04班\t0.692\t0.385", + "20230411\t2023届高三05班\t0.917\t0.306", + "20230411\t2023届高三06班\t0.821\t0.462", + "20230411\t2023届高三07班\t0.733\t0.167", + "20230411\t2023届高三08班\t0.909\t0.182", + "20230411\t2023届高三09班\t0.444\t0.296" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -345123,7 +345321,16 @@ "ans": "$\\dfrac{2\\sqrt{3}}3$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230403\t2023届高三11班\t0.421", + "20230403\t2023届高三12班\t0.714", + "20230403\t2023届高三02班\t0.700", + "20230403\t2023届高三04班\t0.625", + "20230403\t2023届高三05班\t0.811", + "20230403\t2023届高三07班\t0.481", + "20230403\t2023届高三08班\t0.760", + "20230403\t2023届高三09班\t0.296" + ], "origin": "2020年空中课堂高三复习课17", "edit": [ "20230128\t王伟叶" @@ -345313,7 +345520,18 @@ "ans": "$(-\\infty,-2]\\cup [2,+\\infty)$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230411\t2023届高三11班\t0.381", + "20230411\t2023届高三12班\t0.800", + "20230411\t2023届高三02班\t0.548", + "20230411\t2023届高三03班\t0.680", + "20230411\t2023届高三04班\t0.808", + "20230411\t2023届高三05班\t0.889", + "20230411\t2023届高三06班\t0.821", + "20230411\t2023届高三07班\t0.567", + "20230411\t2023届高三08班\t0.636", + "20230411\t2023届高三09班\t0.667" + ], "origin": "2020年空中课堂高三复习课18", "edit": [ "20230128\t王伟叶" @@ -345557,7 +345775,18 @@ "ans": "$9$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230411\t2023届高三11班\t0.809", + "20230411\t2023届高三12班\t0.900", + "20230411\t2023届高三02班\t0.806", + "20230411\t2023届高三03班\t0.920", + "20230411\t2023届高三04班\t0.885", + "20230411\t2023届高三05班\t0.944", + "20230411\t2023届高三06班\t0.923", + "20230411\t2023届高三07班\t0.900", + "20230411\t2023届高三08班\t0.909", + "20230411\t2023届高三09班\t0.926" + ], "origin": "2020年空中课堂高三复习课19", "edit": [ "20230128\t王伟叶" @@ -345663,7 +345892,16 @@ "ans": "(1) $a_n=2^n+1$; (2) 证明略; (3) 证明略", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230403\t2023届高三11班\t0.842\t0.474\t0.053", + "20230403\t2023届高三12班\t0.714\t0.905\t0.095", + "20230403\t2023届高三02班\t0.967\t0.767\t0.333", + "20230403\t2023届高三04班\t0.958\t0.667\t0.250", + "20230403\t2023届高三05班\t0.946\t0.730\t0.135", + "20230403\t2023届高三07班\t0.926\t0.741\t0.111", + "20230403\t2023届高三08班\t0.600\t0.600\t0.160", + "20230403\t2023届高三09班\t0.444\t0.444\t0.000" + ], "origin": "2020年空中课堂高三复习课19", "edit": [ "20230128\t王伟叶" @@ -359997,7 +360235,16 @@ "ans": "$(-\\infty,3)$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230403\t2023届高三11班\t0.737", + "20230403\t2023届高三12班\t0.714", + "20230403\t2023届高三02班\t0.800", + "20230403\t2023届高三04班\t0.625", + "20230403\t2023届高三05班\t0.649", + "20230403\t2023届高三07班\t0.556", + "20230403\t2023届高三08班\t0.760", + "20230403\t2023届高三09班\t0.630" + ], "origin": "2023年空中课堂高三复习课23", "edit": [ "20230221\t王伟叶" @@ -360054,7 +360301,18 @@ "ans": "$3$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230411\t2023届高三11班\t0.905", + "20230411\t2023届高三12班\t0.900", + "20230411\t2023届高三02班\t0.935", + "20230411\t2023届高三03班\t0.960", + "20230411\t2023届高三04班\t0.962", + "20230411\t2023届高三05班\t0.917", + "20230411\t2023届高三06班\t0.974", + "20230411\t2023届高三07班\t0.867", + "20230411\t2023届高三08班\t0.955", + "20230411\t2023届高三09班\t0.889" + ], "origin": "2023年空中课堂高三复习课23", "edit": [ "20230221\t王伟叶" @@ -360187,7 +360445,18 @@ "ans": "B", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230411\t2023届高三11班\t0.476", + "20230411\t2023届高三12班\t0.400", + "20230411\t2023届高三02班\t0.355", + "20230411\t2023届高三03班\t0.400", + "20230411\t2023届高三04班\t0.308", + "20230411\t2023届高三05班\t0.472", + "20230411\t2023届高三06班\t0.667", + "20230411\t2023届高三07班\t0.500", + "20230411\t2023届高三08班\t0.364", + "20230411\t2023届高三09班\t0.518" + ], "origin": "2023年空中课堂高三复习课23", "edit": [ "20230221\t王伟叶"