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-040475 -20230417 2023届高三08班 0.250 - -040476 -20230417 2023届高三08班 0.875 - -040477 -20230417 2023届高三08班 0.958 - -040478 -20230417 2023届高三08班 0.917 - -040479 -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 - -15249 -$(0,+\infty)$ - -15250 -$11$ - -15251 -$-10$ - -15252 -$-\sin(x-\dfrac\pi 3)$ - -15253 -$-1$ - -15254 -$112$ - -15255 -$5$ - -15256 -$2\sqrt{2}$ - -15257 -$(0,\dfrac{4}{\mathrm{e}^2})$ - -15258 -$17$ - -15259 -$8$ - -15260 -A - -15261 -D - -15262 -D - -15263 -B - -15264 -(1) $y=1$; (2) 最大值为$\mathrm{e}-1$, 最小值为$1$ - -15265 -(1) $\arcsin\dfrac{\sqrt{6}}6$; (2) $\arccos\dfrac{2\sqrt{5}}5$或$\pi-\arccos\dfrac{2\sqrt{5}}5$ - -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 +000321 +20230414 2023届高三09班 0.259 diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 26629feb..e005f45c 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -8583,7 +8583,18 @@ "20221115\t2023届高三02班\t0.633", "20221115\t2023届高三05班\t0.806", "20221115\t2023届高三08班\t0.724", - "20221115\t2023届高三09班\t0.480" + "20221115\t2023届高三09班\t0.480", + "20230414\t2023届高三10班\t0.885", + "20230414\t2023届高三11班\t0.000", + "20230414\t2023届高三12班\t0.800", + "20230414\t2023届高三01班\t0.655", + "20230414\t2023届高三02班\t0.750", + "20230414\t2023届高三03班\t0.762", + "20230414\t2023届高三04班\t0.809", + "20230414\t2023届高三05班\t0.526", + "20230414\t2023届高三07班\t0.826", + "20230414\t2023届高三08班\t0.690", + "20230414\t2023届高三09班\t0.259" ], "origin": "教材复习题", "edit": [ @@ -11598,7 +11609,18 @@ "20221202\t2023届高三07班\t0.586", "20221202\t2023届高三08班\t0.516", "20221202\t2023届高三09班\t0.576", - "20221207\t2023届高三05班\t0.650" + "20221207\t2023届高三05班\t0.650", + "20230414\t2023届高三10班\t0.769", + "20230414\t2023届高三11班\t0.905", + "20230414\t2023届高三12班\t0.800", + "20230414\t2023届高三01班\t0.931", + "20230414\t2023届高三02班\t0.812", + "20230414\t2023届高三03班\t0.762", + "20230414\t2023届高三04班\t0.905", + "20230414\t2023届高三05班\t0.816", + "20230414\t2023届高三07班\t0.783", + "20230414\t2023届高三08班\t0.862", + "20230414\t2023届高三09班\t0.852" ], "origin": "赋能练习", "edit": [ @@ -50479,7 +50501,18 @@ "20221123\t2023届高三07班\t0.156", "20221123\t2023届高三06班\t0.375", "20221123\t2023届高三08班\t0.355", - "20221123\t2023届高三09班\t0.200" + "20221123\t2023届高三09班\t0.200", + "20230414\t2023届高三10班\t0.346", + "20230414\t2023届高三11班\t0.191", + "20230414\t2023届高三12班\t0.400", + "20230414\t2023届高三01班\t0.793", + "20230414\t2023届高三02班\t0.531", + "20230414\t2023届高三03班\t0.524", + "20230414\t2023届高三04班\t0.524", + "20230414\t2023届高三05班\t0.789", + "20230414\t2023届高三07班\t0.391", + "20230414\t2023届高三08班\t0.552", + "20230414\t2023届高三09班\t0.333" ], "origin": "2016届创新班作业\t3109-递推数列求通项[2]", "edit": [ @@ -88387,7 +88420,18 @@ "20221123\t2023届高三07班\t0.469", "20221123\t2023届高三06班\t0.650", "20221123\t2023届高三08班\t0.677", - "20221123\t2023届高三09班\t0.367" + "20221123\t2023届高三09班\t0.367", + "20230414\t2023届高三10班\t0.500", + "20230414\t2023届高三11班\t0.762", + "20230414\t2023届高三12班\t0.450", + "20230414\t2023届高三01班\t0.759", + "20230414\t2023届高三02班\t0.844", + "20230414\t2023届高三03班\t1.000", + "20230414\t2023届高三04班\t0.809", + "20230414\t2023届高三05班\t0.816", + "20230414\t2023届高三07班\t0.696", + "20230414\t2023届高三08班\t0.655", + "20230414\t2023届高三09班\t0.556" ], "origin": "2022届高三第一轮复习讲义", "edit": [ @@ -89999,7 +90043,18 @@ "20221123\t2023届高三05班\t0.882\t0.794", "20221123\t2023届高三08班\t1.000\t0.862", "20221123\t2023届高三09班\t1.000\t0.704", - "20221123\t2023届高三02班\t0.967\t0.567" + "20221123\t2023届高三02班\t0.967\t0.567", + "20230414\t2023届高三10班\t0.962\t0.846", + "20230414\t2023届高三11班\t0.952\t0.762", + "20230414\t2023届高三12班\t1.000\t0.700", + "20230414\t2023届高三01班\t1.000\t0.483", + "20230414\t2023届高三02班\t0.969\t0.688", + "20230414\t2023届高三03班\t1.000\t0.905", + "20230414\t2023届高三04班\t1.000\t0.381", + "20230414\t2023届高三05班\t0.947\t0.605", + "20230414\t2023届高三07班\t0.957\t0.609", + "20230414\t2023届高三08班\t1.000\t0.655", + "20230414\t2023届高三09班\t0.963\t0.481" ], "origin": "2022届高三第一轮复习讲义", "edit": [ @@ -90631,7 +90686,18 @@ "20221123\t2023届高三07班\t0.781", "20221123\t2023届高三06班\t0.725", "20221123\t2023届高三08班\t0.710", - "20221123\t2023届高三09班\t0.700" + "20221123\t2023届高三09班\t0.700", + "20230414\t2023届高三10班\t0.808", + "20230414\t2023届高三11班\t0.809", + "20230414\t2023届高三12班\t0.950", + "20230414\t2023届高三01班\t1.000", + "20230414\t2023届高三02班\t0.906", + "20230414\t2023届高三03班\t0.952", + "20230414\t2023届高三04班\t0.952", + "20230414\t2023届高三05班\t0.921", + "20230414\t2023届高三07班\t0.870", + "20230414\t2023届高三08班\t0.828", + "20230414\t2023届高三09班\t0.926" ], "origin": "2022届高三第一轮复习讲义", "edit": [ @@ -90724,7 +90790,18 @@ "20221123\t2023届高三07班\t0.719", "20221123\t2023届高三06班\t0.850", "20221123\t2023届高三08班\t0.839", - "20221123\t2023届高三09班\t0.733" + "20221123\t2023届高三09班\t0.733", + "20230414\t2023届高三10班\t0.923", + "20230414\t2023届高三11班\t0.952", + "20230414\t2023届高三12班\t0.950", + "20230414\t2023届高三01班\t1.000", + "20230414\t2023届高三02班\t0.969", + "20230414\t2023届高三03班\t0.952", + "20230414\t2023届高三04班\t0.809", + "20230414\t2023届高三05班\t1.000", + "20230414\t2023届高三07班\t0.913", + "20230414\t2023届高三08班\t0.931", + "20230414\t2023届高三09班\t0.889" ], "origin": "2022届高三第一轮复习讲义", "edit": [ @@ -121222,7 +121299,18 @@ "20221116\t2023届高三06班\t0.564", "20221116\t2023届高三07班\t0.176", "20221116\t2023届高三08班\t0.594", - "20221116\t2023届高三09班\t0.419" + "20221116\t2023届高三09班\t0.419", + "20230414\t2023届高三10班\t0.923", + "20230414\t2023届高三11班\t0.952", + "20230414\t2023届高三12班\t0.850", + "20230414\t2023届高三01班\t0.966", + "20230414\t2023届高三02班\t0.875", + "20230414\t2023届高三03班\t0.952", + "20230414\t2023届高三04班\t0.667", + "20230414\t2023届高三05班\t0.921", + "20230414\t2023届高三07班\t0.826", + "20230414\t2023届高三08班\t0.897", + "20230414\t2023届高三09班\t0.963" ], "origin": "2022届高三上学期测验卷07第6题", "edit": [ @@ -176465,7 +176553,18 @@ "20221115\t2023届高三02班\t0.533", "20221115\t2023届高三05班\t0.583", "20221115\t2023届高三08班\t0.379", - "20221115\t2023届高三09班\t0.800" + "20221115\t2023届高三09班\t0.800", + "20230414\t2023届高三10班\t0.846", + "20230414\t2023届高三11班\t0.429", + "20230414\t2023届高三12班\t0.700", + "20230414\t2023届高三01班\t0.207", + "20230414\t2023届高三02班\t0.656", + "20230414\t2023届高三03班\t0.524", + "20230414\t2023届高三04班\t0.238", + "20230414\t2023届高三05班\t0.342", + "20230414\t2023届高三07班\t0.391", + "20230414\t2023届高三08班\t0.552", + "20230414\t2023届高三09班\t0.556" ], "origin": "代数精编第七章数列", "edit": [ @@ -274581,7 +274680,18 @@ "20220913\t2023届高三11班\t1.000\t0.406", "20220914\t2023届高三08班\t0.969\t0.620", "20220914\t2023届高三09班\t0.938\t0.495", - "20220914\t2023届高三12班\t0.966\t0.667" + "20220914\t2023届高三12班\t0.966\t0.667", + "20230414\t2023届高三10班\t1.000\t0.808", + "20230414\t2023届高三11班\t0.905\t0.429", + "20230414\t2023届高三12班\t1.000\t0.700", + "20230414\t2023届高三01班\t1.000\t0.517", + "20230414\t2023届高三02班\t1.000\t0.875", + "20230414\t2023届高三03班\t1.000\t0.476", + "20230414\t2023届高三04班\t1.000\t0.524", + "20230414\t2023届高三05班\t0.974\t0.553", + "20230414\t2023届高三07班\t0.957\t0.652", + "20230414\t2023届高三08班\t0.966\t0.448", + "20230414\t2023届高三09班\t1.000\t0.481" ], "origin": "2022届高三上学期周末卷1试题20", "edit": [ @@ -305970,7 +306080,18 @@ "20230103\t2023届高三02班\t0.727", "20230103\t2023届高三04班\t0.625", "20230103\t2023届高三05班\t0.778", - "20230103\t2023届高三09班\t0.545" + "20230103\t2023届高三09班\t0.545", + "20230414\t2023届高三10班\t0.615", + "20230414\t2023届高三11班\t0.619", + "20230414\t2023届高三12班\t0.850", + "20230414\t2023届高三01班\t0.966", + "20230414\t2023届高三02班\t0.531", + "20230414\t2023届高三03班\t0.809", + "20230414\t2023届高三04班\t0.762", + "20230414\t2023届高三05班\t0.684", + "20230414\t2023届高三07班\t0.739", + "20230414\t2023届高三08班\t0.828", + "20230414\t2023届高三09班\t0.593" ], "origin": "2020届春季高考试题16", "edit": [ @@ -346060,7 +346181,18 @@ "20230322\t2023届高三07班\t0.679", "20230322\t2023届高三08班\t0.724", "20230322\t2023届高三12班\t0.619", - "20230322\t2023届高三09班\t0.680" + "20230322\t2023届高三09班\t0.680", + "20230414\t2023届高三10班\t1.000", + "20230414\t2023届高三11班\t1.000", + "20230414\t2023届高三12班\t1.000", + "20230414\t2023届高三01班\t1.000", + "20230414\t2023届高三02班\t1.000", + "20230414\t2023届高三03班\t1.000", + "20230414\t2023届高三04班\t0.952", + "20230414\t2023届高三05班\t1.000", + "20230414\t2023届高三07班\t0.913", + "20230414\t2023届高三08班\t0.931", + "20230414\t2023届高三09班\t1.000" ], "origin": "2020年空中课堂高三复习课16", "edit": [ @@ -430083,7 +430215,18 @@ "20221023\t2023届高三09班\t0.176", "20221023\t2023届高三10班\t0.316", "20221023\t2023届高三11班\t0.000", - "20221023\t2023届高三12班\t0.476" + "20221023\t2023届高三12班\t0.476", + "20230414\t2023届高三10班\t0.654", + "20230414\t2023届高三11班\t0.762", + "20230414\t2023届高三12班\t0.850", + "20230414\t2023届高三01班\t0.966", + "20230414\t2023届高三02班\t0.906", + "20230414\t2023届高三03班\t0.952", + "20230414\t2023届高三04班\t0.762", + "20230414\t2023届高三05班\t0.763", + "20230414\t2023届高三07班\t0.609", + "20230414\t2023届高三08班\t0.724", + "20230414\t2023届高三09班\t0.593" ], "origin": "赋能练习-20220924修改", "edit": [ @@ -462789,7 +462932,19 @@ "ans": "$\\begin{cases}\\dfrac{2^n+1}{3}, & n = 2k+1, \\\\ \\dfrac{2^n+2}{3}, & n = 2k+2\\end{cases}$($k\\in \\mathbf{N}$)", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230414\t2023届高三10班\t0.115", + "20230414\t2023届高三11班\t0.191", + "20230414\t2023届高三12班\t0.400", + "20230414\t2023届高三01班\t0.759", + "20230414\t2023届高三02班\t0.656", + "20230414\t2023届高三03班\t0.429", + "20230414\t2023届高三04班\t0.333", + "20230414\t2023届高三05班\t0.368", + "20230414\t2023届高三07班\t0.304", + "20230414\t2023届高三08班\t0.310", + "20230414\t2023届高三09班\t0.296" + ], "origin": "2022届高三第二轮复习讲义-20230406修改", "edit": [ "20230118\t王伟叶",