From 120709072e9ac80849a996f22e418bf31976216b Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Fri, 22 Dec 2023 20:42:26 +0800 Subject: [PATCH 01/12] =?UTF-8?q?=E5=BD=95=E5=85=A52024=E5=B1=8A=E9=AB=98?= =?UTF-8?q?=E4=B8=89=E4=BD=BF=E7=94=A8=E6=95=B0=E6=8D=AE=E6=88=AA=E8=87=B3?= =?UTF-8?q?20231222?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 题库0.3/Problems.json | 559 ++++++++++++++++++++++++++++++++++++++---- 1 file changed, 506 insertions(+), 53 deletions(-) diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index d878a1a4..800d9ccf 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -339785,7 +339785,16 @@ "20230103\t2023届高三09班\t0.952", "20230103\t2023届高三10班\t0.971", "20230103\t2023届高三11班\t0.929", - "20230103\t2023届高三12班\t1.000" + "20230103\t2023届高三12班\t1.000", + "20231222\t2024届高三11班\t1.000", + "20231222\t2024届高三12班\t0.920", + "20231222\t2024届高三01班\t0.914", + "20231222\t2024届高三04班\t0.906", + "20231222\t2024届高三03班\t0.966", + "20231222\t2024届高三05班\t0.964", + "20231222\t2024届高三06班\t1.000", + "20231222\t2024届高三07班\t0.976", + "20231222\t2024届高三08班\t0.900" ], "origin": "2022届春季高考试题1", "edit": [ @@ -339820,7 +339829,16 @@ "20230103\t2023届高三09班\t1.000", "20230103\t2023届高三10班\t0.853", "20230103\t2023届高三11班\t0.929", - "20230103\t2023届高三12班\t0.882" + "20230103\t2023届高三12班\t0.882", + "20231222\t2024届高三11班\t0.964", + "20231222\t2024届高三12班\t0.880", + "20231222\t2024届高三01班\t0.800", + "20231222\t2024届高三04班\t0.844", + "20231222\t2024届高三03班\t0.966", + "20231222\t2024届高三05班\t0.714", + "20231222\t2024届高三06班\t0.900", + "20231222\t2024届高三07班\t0.714", + "20231222\t2024届高三08班\t0.800" ], "origin": "2022届春季高考试题2", "edit": [ @@ -339864,7 +339882,11 @@ "20231201\t2024届高三07班\t1.000", "20231201\t2024届高三09班\t1.000", "20231201\t2024届高三10班\t1.000", - "20231201\t2024届高三11班\t0.964" + "20231201\t2024届高三11班\t0.964", + "20231222\t2024届高三12班\t1.000", + "20231222\t2024届高三08班\t1.000", + "20231222\t2024届高三11班\t1.000", + "20231222\t2024届高三05班\t1.000" ], "origin": "2022届春季高考试题3", "edit": [ @@ -339899,7 +339921,16 @@ "20230103\t2023届高三09班\t1.000", "20230103\t2023届高三10班\t1.000", "20230103\t2023届高三11班\t0.929", - "20230103\t2023届高三12班\t1.000" + "20230103\t2023届高三12班\t1.000", + "20231222\t2024届高三11班\t0.964", + "20231222\t2024届高三12班\t1.000", + "20231222\t2024届高三01班\t1.000", + "20231222\t2024届高三04班\t1.000", + "20231222\t2024届高三03班\t0.966", + "20231222\t2024届高三05班\t1.000", + "20231222\t2024届高三06班\t0.975", + "20231222\t2024届高三07班\t0.929", + "20231222\t2024届高三08班\t0.950" ], "origin": "2022届春季高考试题4", "edit": [ @@ -339934,7 +339965,16 @@ "20230103\t2023届高三09班\t1.000", "20230103\t2023届高三10班\t1.000", "20230103\t2023届高三11班\t0.929", - "20230103\t2023届高三12班\t1.000" + "20230103\t2023届高三12班\t1.000", + "20231222\t2024届高三11班\t0.964", + "20231222\t2024届高三12班\t0.920", + "20231222\t2024届高三01班\t1.000", + "20231222\t2024届高三04班\t0.969", + "20231222\t2024届高三03班\t1.000", + "20231222\t2024届高三05班\t0.964", + "20231222\t2024届高三06班\t0.975", + "20231222\t2024届高三07班\t0.952", + "20231222\t2024届高三08班\t0.950" ], "origin": "2022届春季高考试题5", "edit": [ @@ -339969,7 +340009,16 @@ "20230103\t2023届高三09班\t1.000", "20230103\t2023届高三10班\t0.941", "20230103\t2023届高三11班\t0.857", - "20230103\t2023届高三12班\t1.000" + "20230103\t2023届高三12班\t1.000", + "20231222\t2024届高三11班\t0.929", + "20231222\t2024届高三12班\t0.920", + "20231222\t2024届高三01班\t0.943", + "20231222\t2024届高三04班\t0.812", + "20231222\t2024届高三03班\t1.000", + "20231222\t2024届高三05班\t0.929", + "20231222\t2024届高三06班\t0.950", + "20231222\t2024届高三07班\t0.929", + "20231222\t2024届高三08班\t0.900" ], "origin": "2022届春季高考试题6", "edit": [ @@ -340004,7 +340053,16 @@ "20230103\t2023届高三09班\t1.000", "20230103\t2023届高三10班\t1.000", "20230103\t2023届高三11班\t0.929", - "20230103\t2023届高三12班\t1.000" + "20230103\t2023届高三12班\t1.000", + "20231222\t2024届高三11班\t0.893", + "20231222\t2024届高三12班\t0.880", + "20231222\t2024届高三01班\t0.943", + "20231222\t2024届高三04班\t0.938", + "20231222\t2024届高三03班\t1.000", + "20231222\t2024届高三05班\t0.929", + "20231222\t2024届高三06班\t0.975", + "20231222\t2024届高三07班\t0.976", + "20231222\t2024届高三08班\t1.000" ], "origin": "2022届春季高考试题7", "edit": [ @@ -340039,7 +340097,16 @@ "20230103\t2023届高三09班\t1.000", "20230103\t2023届高三10班\t0.941", "20230103\t2023届高三11班\t0.857", - "20230103\t2023届高三12班\t1.000" + "20230103\t2023届高三12班\t1.000", + "20231222\t2024届高三11班\t0.893", + "20231222\t2024届高三12班\t0.760", + "20231222\t2024届高三01班\t0.914", + "20231222\t2024届高三04班\t0.750", + "20231222\t2024届高三03班\t0.862", + "20231222\t2024届高三05班\t0.893", + "20231222\t2024届高三06班\t0.850", + "20231222\t2024届高三07班\t0.833", + "20231222\t2024届高三08班\t0.800" ], "origin": "2022届春季高考试题8", "edit": [ @@ -340074,7 +340141,16 @@ "20230103\t2023届高三09班\t0.952", "20230103\t2023届高三10班\t0.882", "20230103\t2023届高三11班\t1.000", - "20230103\t2023届高三12班\t1.000" + "20230103\t2023届高三12班\t1.000", + "20231222\t2024届高三11班\t0.786", + "20231222\t2024届高三12班\t0.840", + "20231222\t2024届高三01班\t0.914", + "20231222\t2024届高三04班\t0.781", + "20231222\t2024届高三03班\t0.862", + "20231222\t2024届高三05班\t0.893", + "20231222\t2024届高三06班\t0.900", + "20231222\t2024届高三07班\t0.857", + "20231222\t2024届高三08班\t0.850" ], "origin": "2022届春季高考试题9", "edit": [ @@ -340109,7 +340185,16 @@ "20230103\t2023届高三09班\t0.714", "20230103\t2023届高三10班\t0.647", "20230103\t2023届高三11班\t0.714", - "20230103\t2023届高三12班\t0.824" + "20230103\t2023届高三12班\t0.824", + "20231222\t2024届高三11班\t0.750", + "20231222\t2024届高三12班\t0.880", + "20231222\t2024届高三01班\t0.857", + "20231222\t2024届高三04班\t0.844", + "20231222\t2024届高三03班\t0.828", + "20231222\t2024届高三05班\t0.857", + "20231222\t2024届高三06班\t0.800", + "20231222\t2024届高三07班\t0.857", + "20231222\t2024届高三08班\t0.900" ], "origin": "2022届春季高考试题10", "edit": [ @@ -340144,7 +340229,16 @@ "20230103\t2023届高三09班\t0.286", "20230103\t2023届高三10班\t0.441", "20230103\t2023届高三11班\t0.143", - "20230103\t2023届高三12班\t0.706" + "20230103\t2023届高三12班\t0.706", + "20231222\t2024届高三11班\t0.179", + "20231222\t2024届高三12班\t0.200", + "20231222\t2024届高三01班\t0.743", + "20231222\t2024届高三04班\t0.281", + "20231222\t2024届高三03班\t0.207", + "20231222\t2024届高三05班\t0.250", + "20231222\t2024届高三06班\t0.475", + "20231222\t2024届高三07班\t0.405", + "20231222\t2024届高三08班\t0.100" ], "origin": "2022届春季高考试题11", "edit": [ @@ -340179,7 +340273,16 @@ "20230103\t2023届高三09班\t0.238", "20230103\t2023届高三10班\t0.294", "20230103\t2023届高三11班\t0.143", - "20230103\t2023届高三12班\t0.000" + "20230103\t2023届高三12班\t0.000", + "20231222\t2024届高三11班\t0.500", + "20231222\t2024届高三12班\t0.440", + "20231222\t2024届高三01班\t0.943", + "20231222\t2024届高三04班\t0.438", + "20231222\t2024届高三03班\t0.621", + "20231222\t2024届高三05班\t0.464", + "20231222\t2024届高三06班\t0.475", + "20231222\t2024届高三07班\t0.452", + "20231222\t2024届高三08班\t0.100" ], "origin": "2022届春季高考试题12", "edit": [ @@ -340214,7 +340317,16 @@ "20230103\t2023届高三09班\t1.000", "20230103\t2023届高三10班\t1.000", "20230103\t2023届高三11班\t0.929", - "20230103\t2023届高三12班\t0.941" + "20230103\t2023届高三12班\t0.941", + "20231222\t2024届高三11班\t1.000", + "20231222\t2024届高三12班\t1.000", + "20231222\t2024届高三01班\t1.000", + "20231222\t2024届高三04班\t1.000", + "20231222\t2024届高三03班\t1.000", + "20231222\t2024届高三05班\t0.964", + "20231222\t2024届高三06班\t1.000", + "20231222\t2024届高三07班\t1.000", + "20231222\t2024届高三08班\t1.000" ], "origin": "2022届春季高考试题13", "edit": [ @@ -340249,7 +340361,16 @@ "20230103\t2023届高三09班\t1.000", "20230103\t2023届高三10班\t1.000", "20230103\t2023届高三11班\t1.000", - "20230103\t2023届高三12班\t0.941" + "20230103\t2023届高三12班\t0.941", + "20231222\t2024届高三11班\t0.893", + "20231222\t2024届高三12班\t1.000", + "20231222\t2024届高三01班\t0.943", + "20231222\t2024届高三04班\t0.969", + "20231222\t2024届高三03班\t1.000", + "20231222\t2024届高三05班\t0.893", + "20231222\t2024届高三06班\t0.975", + "20231222\t2024届高三07班\t0.952", + "20231222\t2024届高三08班\t0.950" ], "origin": "2022届春季高考试题14", "edit": [ @@ -340284,7 +340405,16 @@ "20230103\t2023届高三09班\t0.762", "20230103\t2023届高三10班\t0.971", "20230103\t2023届高三11班\t0.857", - "20230103\t2023届高三12班\t0.941" + "20230103\t2023届高三12班\t0.941", + "20231222\t2024届高三11班\t0.929", + "20231222\t2024届高三12班\t0.720", + "20231222\t2024届高三01班\t0.943", + "20231222\t2024届高三04班\t0.906", + "20231222\t2024届高三03班\t0.931", + "20231222\t2024届高三05班\t0.929", + "20231222\t2024届高三06班\t0.950", + "20231222\t2024届高三07班\t0.929", + "20231222\t2024届高三08班\t0.650" ], "origin": "2022届春季高考试题15", "edit": [ @@ -340307,7 +340437,17 @@ "ans": "D", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231222\t2024届高三11班\t0.786", + "20231222\t2024届高三12班\t0.800", + "20231222\t2024届高三01班\t0.971", + "20231222\t2024届高三04班\t0.781", + "20231222\t2024届高三03班\t0.966", + "20231222\t2024届高三05班\t0.786", + "20231222\t2024届高三06班\t0.800", + "20231222\t2024届高三07班\t0.952", + "20231222\t2024届高三08班\t0.700" + ], "origin": "2022届春季高考试题16", "edit": [ "20221209\t王伟叶" @@ -340331,7 +340471,17 @@ "ans": "(1) $\\arctan 2$; (2) 体积为$2\\pi$, 侧面积为$4\\pi$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231222\t2024届高三11班\t1.000\t0.893", + "20231222\t2024届高三12班\t0.973\t0.860", + "20231222\t2024届高三01班\t0.971\t0.986", + "20231222\t2024届高三04班\t0.953\t0.875", + "20231222\t2024届高三03班\t0.983\t0.983", + "20231222\t2024届高三05班\t0.923\t0.946", + "20231222\t2024届高三06班\t0.838\t0.966", + "20231222\t2024届高三07班\t0.996\t0.911", + "20231222\t2024届高三08班\t0.992\t0.925" + ], "origin": "2022届春季高考试题17", "edit": [ "20221209\t王伟叶" @@ -340365,7 +340515,16 @@ "20230103\t2023届高三09班\t1.000\t0.726", "20230103\t2023届高三10班\t1.000\t0.820", "20230103\t2023届高三11班\t1.000\t0.679", - "20230103\t2023届高三12班\t1.000\t0.838" + "20230103\t2023届高三12班\t1.000\t0.838", + "20231222\t2024届高三11班\t0.929\t0.464", + "20231222\t2024届高三12班\t0.940\t0.635", + "20231222\t2024届高三01班\t1.000\t0.793", + "20231222\t2024届高三04班\t0.906\t0.375", + "20231222\t2024届高三03班\t0.977\t0.552", + "20231222\t2024届高三05班\t0.964\t0.478", + "20231222\t2024届高三06班\t0.971\t0.578", + "20231222\t2024届高三07班\t0.972\t0.583", + "20231222\t2024届高三08班\t1.000\t0.713" ], "origin": "2022届春季高考试题18", "edit": [ @@ -340400,7 +340559,16 @@ "20230103\t2023届高三09班\t0.952\t0.381", "20230103\t2023届高三10班\t0.980\t0.607", "20230103\t2023届高三11班\t0.952\t0.098", - "20230103\t2023届高三12班\t0.931\t0.625" + "20230103\t2023届高三12班\t0.931\t0.625", + "20231222\t2024届高三11班\t0.875\t0.321", + "20231222\t2024届高三12班\t0.973\t0.495", + "20231222\t2024届高三01班\t0.976\t0.625", + "20231222\t2024届高三04班\t0.896\t0.359", + "20231222\t2024届高三03班\t0.925\t0.647", + "20231222\t2024届高三05班\t0.905\t0.362", + "20231222\t2024届高三06班\t0.925\t0.359", + "20231222\t2024届高三07班\t0.901\t0.571", + "20231222\t2024届高三08班\t0.900\t0.469" ], "origin": "2022届春季高考试题19", "edit": [ @@ -340435,7 +340603,16 @@ "20230103\t2023届高三09班\t0.952\t0.762\t0.143", "20230103\t2023届高三10班\t0.971\t0.799\t0.069", "20230103\t2023届高三11班\t1.000\t0.929\t0.119", - "20230103\t2023届高三12班\t0.941\t0.882\t0.098" + "20230103\t2023届高三12班\t0.941\t0.882\t0.098", + "20231222\t2024届高三11班\t0.929\t0.774\t0.036", + "20231222\t2024届高三12班\t0.760\t0.593\t0.130", + "20231222\t2024届高三01班\t0.914\t0.848\t0.354", + "20231222\t2024届高三04班\t0.812\t0.625\t0.031", + "20231222\t2024届高三03班\t0.966\t0.793\t0.272", + "20231222\t2024届高三05班\t0.839\t0.643\t0.054", + "20231222\t2024届高三06班\t0.825\t0.721\t0.025", + "20231222\t2024届高三07班\t0.875\t0.730\t0.009", + "20231222\t2024届高三08班\t0.850\t0.742\t0.031" ], "origin": "2022届春季高考试题20", "edit": [ @@ -340705,7 +340882,8 @@ "20230508\t2023届高三09班\t0.806", "20230508\t2023届高三10班\t0.806", "20230508\t2023届高三11班\t0.783", - "20230508\t2023届高三12班\t0.958" + "20230508\t2023届高三12班\t0.958", + "20231219\t2024届高三05班\t0.871" ], "origin": "2023届松江区一模试题7", "edit": [ @@ -341009,7 +341187,8 @@ "20230508\t2023届高三09班\t0.968\t0.935", "20230508\t2023届高三10班\t0.917\t0.944", "20230508\t2023届高三11班\t0.826\t0.652", - "20230508\t2023届高三12班\t0.875\t0.917" + "20230508\t2023届高三12班\t0.875\t0.917", + "20231219\t2024届高三05班\t1.000\t0.968" ], "origin": "2023届松江区一模试题17", "edit": [ @@ -341044,7 +341223,8 @@ "20230508\t2023届高三09班\t0.935\t0.871", "20230508\t2023届高三10班\t0.972\t0.889", "20230508\t2023届高三11班\t0.913\t0.826", - "20230508\t2023届高三12班\t1.000\t0.875" + "20230508\t2023届高三12班\t1.000\t0.875", + "20231219\t2024届高三05班\t0.892\t0.903" ], "origin": "2023届松江区一模试题18", "edit": [ @@ -347030,7 +347210,8 @@ "20230519\t2023届高三09班\t0.900", "20230519\t2023届高三10班\t0.972", "20230519\t2023届高三11班\t1.000", - "20230519\t2023届高三12班\t1.000" + "20230519\t2023届高三12班\t1.000", + "20231219\t2024届高三05班\t0.968" ], "origin": "2023届青浦区一模试题5", "edit": [ @@ -349173,7 +349354,8 @@ "20230523\t2023届高三07班\t1.000", "20230523\t2023届高三09班\t0.938", "20230523\t2023届高三11班\t0.682", - "20230523\t2023届高三12班\t0.875" + "20230523\t2023届高三12班\t0.875", + "20231219\t2024届高三05班\t0.806" ], "origin": "2023届普陀区一模试题2", "edit": [ @@ -349776,7 +349958,8 @@ "20230526\t2023届高三07班\t1.000", "20230526\t2023届高三09班\t1.000", "20230526\t2023届高三11班\t1.000", - "20230526\t2023届高三12班\t1.000" + "20230526\t2023届高三12班\t1.000", + "20231219\t2024届高三05班\t1.000" ], "origin": "2023届长宁区一模试题1", "edit": [ @@ -351030,7 +351213,8 @@ "duration": -1, "usages": [ "20230530\t2023届高三09班\t1.000", - "20230530\t2023届高三12班\t1.000" + "20230530\t2023届高三12班\t1.000", + "20231219\t2024届高三05班\t0.871" ], "origin": "2023届宝山区一模试题5", "edit": [ @@ -351158,7 +351342,8 @@ "solution": "", "duration": -1, "usages": [ - "20230531\t2023届高三03班\t0.857" + "20230531\t2023届高三03班\t0.857", + "20231219\t2024届高三05班\t0.806" ], "origin": "2023届宝山区一模试题9", "edit": [ @@ -351253,7 +351438,9 @@ "ans": "B", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231219\t2024届高三05班\t1.000" + ], "origin": "2023届宝山区一模试题13", "edit": [ "20221217\t王伟叶" @@ -351996,7 +352183,8 @@ "20230316\t2023届高三09班\t1.000", "20230316\t2023届高三10班\t1.000", "20230316\t2023届高三11班\t1.000", - "20230316\t2023届高三12班\t1.000" + "20230316\t2023届高三12班\t1.000", + "20231219\t2024届高三05班\t1.000" ], "origin": "2023届奉贤区一模试题2", "edit": [ @@ -353428,7 +353616,20 @@ "ans": "$2$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t1.000", + "20231220\t2024届高三11班\t1.000", + "20231220\t2024届高三12班\t1.000", + "20231220\t2024届高三01班\t1.000", + "20231220\t2024届高三02班\t1.000", + "20231220\t2024届高三03班\t1.000", + "20231220\t2024届高三04班\t0.969", + "20231220\t2024届高三06班\t0.976", + "20231220\t2024届高三05班\t1.000", + "20231220\t2024届高三07班\t1.000", + "20231220\t2024届高三08班\t0.950", + "20231220\t2024届高三09班\t1.000" + ], "origin": "2023届春季高考试题1", "edit": [ "20230109\t王伟叶" @@ -353450,7 +353651,20 @@ "ans": "$(1,0)$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t1.000", + "20231220\t2024届高三11班\t0.966", + "20231220\t2024届高三12班\t1.000", + "20231220\t2024届高三01班\t0.969", + "20231220\t2024届高三02班\t1.000", + "20231220\t2024届高三03班\t1.000", + "20231220\t2024届高三04班\t1.000", + "20231220\t2024届高三06班\t0.976", + "20231220\t2024届高三05班\t0.967", + "20231220\t2024届高三07班\t0.975", + "20231220\t2024届高三08班\t1.000", + "20231220\t2024届高三09班\t1.000" + ], "origin": "2023届春季高考试题2", "edit": [ "20230109\t王伟叶" @@ -353472,7 +353686,20 @@ "ans": "$[-1,3]$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t1.000", + "20231220\t2024届高三11班\t1.000", + "20231220\t2024届高三12班\t1.000", + "20231220\t2024届高三01班\t0.969", + "20231220\t2024届高三02班\t1.000", + "20231220\t2024届高三03班\t0.906", + "20231220\t2024届高三04班\t1.000", + "20231220\t2024届高三06班\t1.000", + "20231220\t2024届高三05班\t1.000", + "20231220\t2024届高三07班\t0.975", + "20231220\t2024届高三08班\t1.000", + "20231220\t2024届高三09班\t0.952" + ], "origin": "2023届春季高考试题3", "edit": [ "20230109\t王伟叶" @@ -353494,7 +353721,20 @@ "ans": "$1$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t1.000", + "20231220\t2024届高三11班\t1.000", + "20231220\t2024届高三12班\t0.964", + "20231220\t2024届高三01班\t1.000", + "20231220\t2024届高三02班\t1.000", + "20231220\t2024届高三03班\t0.969", + "20231220\t2024届高三04班\t0.969", + "20231220\t2024届高三06班\t0.976", + "20231220\t2024届高三05班\t1.000", + "20231220\t2024届高三07班\t1.000", + "20231220\t2024届高三08班\t1.000", + "20231220\t2024届高三09班\t1.000" + ], "origin": "2023届春季高考试题4", "edit": [ "20230109\t王伟叶" @@ -353516,7 +353756,20 @@ "ans": "$\\dfrac 12$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t1.000", + "20231220\t2024届高三11班\t1.000", + "20231220\t2024届高三12班\t1.000", + "20231220\t2024届高三01班\t1.000", + "20231220\t2024届高三02班\t1.000", + "20231220\t2024届高三03班\t1.000", + "20231220\t2024届高三04班\t1.000", + "20231220\t2024届高三06班\t1.000", + "20231220\t2024届高三05班\t1.000", + "20231220\t2024届高三07班\t1.000", + "20231220\t2024届高三08班\t0.950", + "20231220\t2024届高三09班\t1.000" + ], "origin": "2023届春季高考试题5", "edit": [ "20230109\t王伟叶" @@ -353538,7 +353791,20 @@ "ans": "$\\dfrac 1{16}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t0.909", + "20231220\t2024届高三11班\t0.931", + "20231220\t2024届高三12班\t0.821", + "20231220\t2024届高三01班\t0.938", + "20231220\t2024届高三02班\t0.944", + "20231220\t2024届高三03班\t0.906", + "20231220\t2024届高三04班\t0.875", + "20231220\t2024届高三06班\t0.829", + "20231220\t2024届高三05班\t0.967", + "20231220\t2024届高三07班\t0.875", + "20231220\t2024届高三08班\t0.900", + "20231220\t2024届高三09班\t0.857" + ], "origin": "2023届春季高考试题6", "edit": [ "20230109\t王伟叶" @@ -353560,7 +353826,20 @@ "ans": "$7$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t1.000", + "20231220\t2024届高三11班\t1.000", + "20231220\t2024届高三12班\t0.929", + "20231220\t2024届高三01班\t0.875", + "20231220\t2024届高三02班\t0.944", + "20231220\t2024届高三03班\t0.844", + "20231220\t2024届高三04班\t0.875", + "20231220\t2024届高三06班\t0.902", + "20231220\t2024届高三05班\t0.900", + "20231220\t2024届高三07班\t0.900", + "20231220\t2024届高三08班\t0.950", + "20231220\t2024届高三09班\t0.952" + ], "origin": "2023届春季高考试题7", "edit": [ "20230109\t王伟叶" @@ -353582,7 +353861,20 @@ "ans": "$17$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t1.000", + "20231220\t2024届高三11班\t0.966", + "20231220\t2024届高三12班\t0.929", + "20231220\t2024届高三01班\t1.000", + "20231220\t2024届高三02班\t1.000", + "20231220\t2024届高三03班\t0.938", + "20231220\t2024届高三04班\t1.000", + "20231220\t2024届高三06班\t0.951", + "20231220\t2024届高三05班\t0.933", + "20231220\t2024届高三07班\t1.000", + "20231220\t2024届高三08班\t0.950", + "20231220\t2024届高三09班\t0.905" + ], "origin": "2023届春季高考试题8", "edit": [ "20230109\t王伟叶" @@ -353604,7 +353896,20 @@ "ans": "$3$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t0.909", + "20231220\t2024届高三11班\t1.000", + "20231220\t2024届高三12班\t0.893", + "20231220\t2024届高三01班\t0.969", + "20231220\t2024届高三02班\t0.972", + "20231220\t2024届高三03班\t0.844", + "20231220\t2024届高三04班\t0.875", + "20231220\t2024届高三06班\t0.927", + "20231220\t2024届高三05班\t1.000", + "20231220\t2024届高三07班\t0.925", + "20231220\t2024届高三08班\t1.000", + "20231220\t2024届高三09班\t0.905" + ], "origin": "2023届春季高考试题9", "edit": [ "20230109\t王伟叶" @@ -353626,7 +353931,20 @@ "ans": "$\\dfrac 12$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t0.955", + "20231220\t2024届高三11班\t0.966", + "20231220\t2024届高三12班\t0.929", + "20231220\t2024届高三01班\t0.969", + "20231220\t2024届高三02班\t0.917", + "20231220\t2024届高三03班\t0.875", + "20231220\t2024届高三04班\t0.969", + "20231220\t2024届高三06班\t0.927", + "20231220\t2024届高三05班\t0.967", + "20231220\t2024届高三07班\t0.975", + "20231220\t2024届高三08班\t0.900", + "20231220\t2024届高三09班\t1.000" + ], "origin": "2023届春季高考试题10", "edit": [ "20230109\t王伟叶" @@ -353648,7 +353966,20 @@ "ans": "$[0,2+\\sqrt{2}]$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t0.182", + "20231220\t2024届高三11班\t0.448", + "20231220\t2024届高三12班\t0.286", + "20231220\t2024届高三01班\t0.625", + "20231220\t2024届高三02班\t0.639", + "20231220\t2024届高三03班\t0.375", + "20231220\t2024届高三04班\t0.531", + "20231220\t2024届高三06班\t0.293", + "20231220\t2024届高三05班\t0.333", + "20231220\t2024届高三07班\t0.275", + "20231220\t2024届高三08班\t0.100", + "20231220\t2024届高三09班\t0.191" + ], "origin": "2023届春季高考试题11", "edit": [ "20230109\t王伟叶" @@ -353670,7 +354001,20 @@ "ans": "$\\dfrac{\\sqrt{21}}7$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t0.136", + "20231220\t2024届高三11班\t0.276", + "20231220\t2024届高三12班\t0.250", + "20231220\t2024届高三01班\t0.500", + "20231220\t2024届高三02班\t0.750", + "20231220\t2024届高三03班\t0.219", + "20231220\t2024届高三04班\t0.219", + "20231220\t2024届高三06班\t0.366", + "20231220\t2024届高三05班\t0.400", + "20231220\t2024届高三07班\t0.300", + "20231220\t2024届高三08班\t0.050", + "20231220\t2024届高三09班\t0.143" + ], "origin": "2023届春季高考试题12", "edit": [ "20230109\t王伟叶" @@ -353693,7 +354037,20 @@ "ans": "B", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t1.000", + "20231220\t2024届高三11班\t1.000", + "20231220\t2024届高三12班\t1.000", + "20231220\t2024届高三01班\t0.969", + "20231220\t2024届高三02班\t1.000", + "20231220\t2024届高三03班\t1.000", + "20231220\t2024届高三04班\t0.969", + "20231220\t2024届高三06班\t1.000", + "20231220\t2024届高三05班\t0.967", + "20231220\t2024届高三07班\t1.000", + "20231220\t2024届高三08班\t1.000", + "20231220\t2024届高三09班\t1.000" + ], "origin": "2023届春季高考试题13", "edit": [ "20230109\t王伟叶" @@ -353715,7 +354072,20 @@ "ans": "C", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t0.864", + "20231220\t2024届高三11班\t0.793", + "20231220\t2024届高三12班\t0.857", + "20231220\t2024届高三01班\t0.812", + "20231220\t2024届高三02班\t0.917", + "20231220\t2024届高三03班\t0.875", + "20231220\t2024届高三04班\t0.625", + "20231220\t2024届高三06班\t0.756", + "20231220\t2024届高三05班\t0.867", + "20231220\t2024届高三07班\t0.925", + "20231220\t2024届高三08班\t0.900", + "20231220\t2024届高三09班\t0.809" + ], "origin": "2023届春季高考试题14", "edit": [ "20230109\t王伟叶" @@ -353737,7 +354107,20 @@ "ans": "B", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t0.909", + "20231220\t2024届高三11班\t0.897", + "20231220\t2024届高三12班\t0.929", + "20231220\t2024届高三01班\t0.938", + "20231220\t2024届高三02班\t0.972", + "20231220\t2024届高三03班\t0.969", + "20231220\t2024届高三04班\t0.938", + "20231220\t2024届高三06班\t1.000", + "20231220\t2024届高三05班\t0.867", + "20231220\t2024届高三07班\t0.925", + "20231220\t2024届高三08班\t0.950", + "20231220\t2024届高三09班\t0.857" + ], "origin": "2023届春季高考试题15", "edit": [ "20230109\t王伟叶" @@ -353759,7 +354142,20 @@ "ans": "C", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t0.136", + "20231220\t2024届高三11班\t0.483", + "20231220\t2024届高三12班\t0.464", + "20231220\t2024届高三01班\t0.719", + "20231220\t2024届高三02班\t0.750", + "20231220\t2024届高三03班\t0.469", + "20231220\t2024届高三04班\t0.531", + "20231220\t2024届高三06班\t0.610", + "20231220\t2024届高三05班\t0.500", + "20231220\t2024届高三07班\t0.600", + "20231220\t2024届高三08班\t0.300", + "20231220\t2024届高三09班\t0.333" + ], "origin": "2023届春季高考试题16", "edit": [ "20230109\t王伟叶" @@ -353781,7 +354177,20 @@ "ans": "(1) $\\arctan \\dfrac 65$; (2) 证明略, 距离为$2$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t0.924\t0.892", + "20231220\t2024届高三11班\t0.966\t0.664", + "20231220\t2024届高三12班\t0.952\t0.920", + "20231220\t2024届高三01班\t0.984\t1.000", + "20231220\t2024届高三02班\t0.982\t0.965", + "20231220\t2024届高三03班\t0.927\t1.000", + "20231220\t2024届高三04班\t0.875\t0.621", + "20231220\t2024届高三06班\t0.992\t0.915", + "20231220\t2024届高三05班\t0.956\t0.967", + "20231220\t2024届高三07班\t0.938\t0.944", + "20231220\t2024届高三08班\t0.983\t0.944", + "20231220\t2024届高三09班\t1.000\t0.905" + ], "origin": "2023届春季高考试题17", "edit": [ "20230109\t王伟叶" @@ -353803,7 +354212,20 @@ "ans": "(1) $c=\\dfrac{2\\sqrt{3}}3$; (2) $3-\\sqrt{3}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t0.924\t0.790", + "20231220\t2024届高三11班\t0.908\t0.810", + "20231220\t2024届高三12班\t0.958\t0.955", + "20231220\t2024届高三01班\t0.969\t0.984", + "20231220\t2024届高三02班\t0.917\t0.955", + "20231220\t2024届高三03班\t0.969\t0.914", + "20231220\t2024届高三04班\t1.000\t0.922", + "20231220\t2024届高三06班\t0.984\t0.951", + "20231220\t2024届高三05班\t0.967\t0.892", + "20231220\t2024届高三07班\t0.925\t0.950", + "20231220\t2024届高三08班\t0.967\t0.900", + "20231220\t2024届高三09班\t0.897\t0.911" + ], "origin": "2023届春季高考试题18", "edit": [ "20230109\t王伟叶" @@ -353826,7 +354248,20 @@ "ans": "(1) $\\dfrac{1}{H}+\\dfrac 2 R$; (2) $n=6$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t0.818\t0.403", + "20231220\t2024届高三11班\t0.724\t0.392", + "20231220\t2024届高三12班\t0.839\t0.679", + "20231220\t2024届高三01班\t1.000\t0.680", + "20231220\t2024届高三02班\t0.847\t0.965", + "20231220\t2024届高三03班\t1.000\t0.641", + "20231220\t2024届高三04班\t0.812\t0.398", + "20231220\t2024届高三06班\t0.768\t0.622", + "20231220\t2024届高三05班\t0.767\t0.592", + "20231220\t2024届高三07班\t0.896\t0.675", + "20231220\t2024届高三08班\t0.875\t0.562", + "20231220\t2024届高三09班\t0.857\t0.184" + ], "origin": "2023届春季高考试题19", "edit": [ "20230109\t王伟叶" @@ -353848,7 +354283,20 @@ "ans": "(1) $e=\\dfrac 12$; (2) $m=3$; (3) $(\\sqrt{3},3]$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231220\t2024届高三10班\t0.864\t0.833\t0.409", + "20231220\t2024届高三11班\t0.897\t0.862\t0.280", + "20231220\t2024届高三12班\t0.964\t0.839\t0.245", + "20231220\t2024届高三01班\t1.000\t0.943\t0.465", + "20231220\t2024届高三02班\t0.972\t0.917\t0.594", + "20231220\t2024届高三03班\t1.000\t0.922\t0.391", + "20231220\t2024届高三04班\t0.938\t0.854\t0.242", + "20231220\t2024届高三06班\t0.976\t0.793\t0.271", + "20231220\t2024届高三05班\t0.900\t0.867\t0.221", + "20231220\t2024届高三07班\t0.906\t0.800\t0.197", + "20231220\t2024届高三08班\t1.000\t0.900\t0.188", + "20231220\t2024届高三09班\t0.905\t0.897\t0.214" + ], "origin": "2023届春季高考试题20", "edit": [ "20230109\t王伟叶" @@ -418261,7 +418709,9 @@ "ans": "A", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231219\t2024届高三05班\t0.871" + ], "origin": "2023届普陀区高三二模试题13", "edit": [ "20230413\t王伟叶" @@ -418767,7 +419217,8 @@ "20230515\t2023届高三09班\t0.955", "20230515\t2023届高三10班\t0.857", "20230515\t2023届高三11班\t0.789", - "20230515\t2023届高三12班\t0.650" + "20230515\t2023届高三12班\t0.650", + "20231219\t2024届高三05班\t0.903" ], "origin": "2023届闵行区高三二模试题9", "edit": [ @@ -642456,7 +642907,9 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231219\t2024届高三05班\t0.935" + ], "origin": "2022届闵行二模试题06", "edit": [ "20230108\t王伟叶" From 071cc886eadde757387bf1889bb850b81429b535 Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Fri, 22 Dec 2023 20:45:03 +0800 Subject: [PATCH 02/12] =?UTF-8?q?=E5=BD=95=E5=85=A52025=E5=B1=8A=E9=AB=98?= =?UTF-8?q?=E4=BA=8C=E4=BD=BF=E7=94=A8=E8=AE=B0=E5=BD=95=E6=88=AA=E8=87=B3?= =?UTF-8?q?20231222?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 题库0.3/Problems.json | 335 +++++++++++++++++++++++++++++++++++------- 1 file changed, 283 insertions(+), 52 deletions(-) diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 800d9ccf..8084b5e4 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -7692,7 +7692,16 @@ "20231027\t2024届高三07班\t0.921", "20231027\t2024届高三08班\t0.941", "20231027\t2024届高三11班\t0.897", - "20231027\t2024届高三12班\t0.765" + "20231027\t2024届高三12班\t0.765", + "20231219\t2025届高二10班\t0.905", + "20231219\t2025届高二11班\t0.853", + "20231219\t2025届高二01班\t0.949", + "20231219\t2025届高二02班\t0.850", + "20231219\t2025届高二03班\t0.925", + "20231219\t2025届高二04班\t0.903", + "20231219\t2025届高二05班\t0.926", + "20231219\t2025届高二07班\t0.742", + "20231219\t2025届高二09班\t0.689" ], "origin": "教材复习题", "edit": [ @@ -7731,7 +7740,16 @@ "20231026\t2024届高三05班\t0.317", "20231026\t2024届高三06班\t0.865", "20231026\t2024届高三07班\t0.564", - "20231026\t2024届高三11班\t0.821" + "20231026\t2024届高三11班\t0.821", + "20231219\t2025届高二10班\t0.595", + "20231219\t2025届高二11班\t0.559", + "20231219\t2025届高二01班\t0.795", + "20231219\t2025届高二02班\t0.725", + "20231219\t2025届高二03班\t0.900", + "20231219\t2025届高二04班\t0.613", + "20231219\t2025届高二05班\t0.559", + "20231219\t2025届高二07班\t0.516", + "20231219\t2025届高二09班\t0.527" ], "origin": "教材复习题", "edit": [ @@ -271031,7 +271049,9 @@ "20231208\t2025届高二04班\t0.862", "20231208\t2025届高二05班\t0.917", "20231208\t2025届高二07班\t0.814", - "20231208\t2025届高二11班\t0.853" + "20231208\t2025届高二11班\t0.853", + "20231208\t2025届高二10班\t0.812", + "20231208\t2025届高二09班\t0.846" ], "origin": "新教材必修第三册课堂练习", "edit": [ @@ -271288,7 +271308,9 @@ "20231215\t2025届高二04班\t0.958", "20231215\t2025届高二05班\t0.969", "20231215\t2025届高二07班\t0.944", - "20231215\t2025届高二11班\t0.958" + "20231215\t2025届高二11班\t0.958", + "20231215\t2025届高二10班\t1.000", + "20231215\t2025届高二09班\t1.000" ], "origin": "新教材必修第三册课堂练习", "edit": [ @@ -292988,7 +293010,9 @@ "20231215\t2025届高二04班\t0.958\t0.861", "20231215\t2025届高二05班\t0.969\t0.938", "20231215\t2025届高二07班\t0.944\t0.889", - "20231215\t2025届高二11班\t1.000\t0.958" + "20231215\t2025届高二11班\t1.000\t0.958", + "20231215\t2025届高二10班\t1.000\t0.893", + "20231215\t2025届高二09班\t0.973\t0.919" ], "origin": "新教材必修第三册习题", "edit": [ @@ -293034,7 +293058,9 @@ "20231215\t2025届高二04班\t0.792", "20231215\t2025届高二05班\t0.844", "20231215\t2025届高二07班\t0.639", - "20231215\t2025届高二11班\t0.875" + "20231215\t2025届高二11班\t0.875", + "20231215\t2025届高二10班\t0.804", + "20231215\t2025届高二09班\t0.797" ], "origin": "新教材必修第三册习题", "edit": [ @@ -488063,7 +488089,9 @@ "20231215\t2025届高二04班\t0.974", "20231215\t2025届高二05班\t0.974", "20231215\t2025届高二07班\t0.976", - "20231215\t2025届高二11班\t0.938" + "20231215\t2025届高二11班\t0.938", + "20231215\t2025届高二10班\t0.983", + "20231215\t2025届高二09班\t0.956" ], "origin": "2024届高二下学期期末杨浦区统考试题7", "edit": [ @@ -500135,7 +500163,9 @@ "20231215\t2025届高二04班\t0.731", "20231215\t2025届高二05班\t0.789", "20231215\t2025届高二07班\t0.643", - "20231215\t2025届高二11班\t0.583" + "20231215\t2025届高二11班\t0.583", + "20231215\t2025届高二10班\t0.567", + "20231215\t2025届高二09班\t0.515" ], "origin": "空中课堂必修第三册概率初步例题与习题", "edit": [ @@ -527473,7 +527503,9 @@ "20231215\t2025届高二04班\t0.840", "20231215\t2025届高二05班\t0.796", "20231215\t2025届高二07班\t0.857", - "20231215\t2025届高二11班\t0.833" + "20231215\t2025届高二11班\t0.833", + "20231215\t2025届高二10班\t0.842", + "20231215\t2025届高二09班\t0.897" ], "origin": "自拟题目", "edit": [ @@ -562121,7 +562153,9 @@ "20231208\t2025届高二04班\t0.987", "20231208\t2025届高二05班\t0.903", "20231208\t2025届高二07班\t0.930", - "20231208\t2025届高二11班\t0.971" + "20231208\t2025届高二11班\t0.971", + "20231208\t2025届高二10班\t0.893", + "20231208\t2025届高二09班\t0.941" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -562159,7 +562193,9 @@ "20231208\t2025届高二04班\t0.803", "20231208\t2025届高二05班\t0.556", "20231208\t2025届高二07班\t0.651", - "20231208\t2025届高二11班\t0.853" + "20231208\t2025届高二11班\t0.853", + "20231208\t2025届高二10班\t0.589", + "20231208\t2025届高二09班\t0.676" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -562197,7 +562233,9 @@ "20231208\t2025届高二04班\t0.908", "20231208\t2025届高二05班\t0.722", "20231208\t2025届高二07班\t0.861", - "20231208\t2025届高二11班\t0.912" + "20231208\t2025届高二11班\t0.912", + "20231208\t2025届高二10班\t0.964", + "20231208\t2025届高二09班\t0.941" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -562235,7 +562273,9 @@ "20231208\t2025届高二04班\t0.842", "20231208\t2025届高二05班\t0.778", "20231208\t2025届高二07班\t0.814", - "20231208\t2025届高二11班\t0.794" + "20231208\t2025届高二11班\t0.794", + "20231208\t2025届高二10班\t0.929", + "20231208\t2025届高二09班\t0.941" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -562273,7 +562313,9 @@ "20231208\t2025届高二04班\t0.789", "20231208\t2025届高二05班\t0.847", "20231208\t2025届高二07班\t0.744", - "20231208\t2025届高二11班\t0.647" + "20231208\t2025届高二11班\t0.647", + "20231208\t2025届高二10班\t0.607", + "20231208\t2025届高二09班\t0.647" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -562311,7 +562353,9 @@ "20231208\t2025届高二04班\t0.750\t0.763", "20231208\t2025届高二05班\t0.722\t0.639", "20231208\t2025届高二07班\t0.419\t0.384", - "20231208\t2025届高二11班\t0.794\t0.706" + "20231208\t2025届高二11班\t0.794\t0.706", + "20231208\t2025届高二10班\t0.696\t0.607", + "20231208\t2025届高二09班\t0.721\t0.676" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -562349,7 +562393,9 @@ "20231208\t2025届高二04班\t0.829\t0.684", "20231208\t2025届高二05班\t0.611\t0.611", "20231208\t2025届高二07班\t0.419\t0.372", - "20231208\t2025届高二11班\t0.794\t0.794" + "20231208\t2025届高二11班\t0.794\t0.794", + "20231208\t2025届高二10班\t0.839\t0.768", + "20231208\t2025届高二09班\t0.824\t0.853" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -562706,7 +562752,9 @@ "20231215\t2025届高二04班\t0.910", "20231215\t2025届高二05班\t0.928", "20231215\t2025届高二07班\t0.875", - "20231215\t2025届高二11班\t0.875" + "20231215\t2025届高二11班\t0.875", + "20231215\t2025届高二10班\t0.900", + "20231215\t2025届高二09班\t0.904" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -562743,7 +562791,9 @@ "20231215\t2025届高二04班\t0.897", "20231215\t2025届高二05班\t0.961", "20231215\t2025届高二07班\t0.905", - "20231215\t2025届高二11班\t0.938" + "20231215\t2025届高二11班\t0.938", + "20231215\t2025届高二10班\t0.983", + "20231215\t2025届高二09班\t0.956" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -562780,7 +562830,9 @@ "20231215\t2025届高二04班\t0.974", "20231215\t2025届高二05班\t0.961", "20231215\t2025届高二07班\t0.964", - "20231215\t2025届高二11班\t0.958" + "20231215\t2025届高二11班\t0.958", + "20231215\t2025届高二10班\t0.900", + "20231215\t2025届高二09班\t0.853" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -562817,7 +562869,9 @@ "20231215\t2025届高二04班\t0.936", "20231215\t2025届高二05班\t0.921", "20231215\t2025届高二07班\t0.929", - "20231215\t2025届高二11班\t0.958" + "20231215\t2025届高二11班\t0.958", + "20231215\t2025届高二10班\t1.000", + "20231215\t2025届高二09班\t0.926" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -562854,7 +562908,9 @@ "20231215\t2025届高二04班\t0.859", "20231215\t2025届高二05班\t0.776", "20231215\t2025届高二07班\t0.833", - "20231215\t2025届高二11班\t0.917" + "20231215\t2025届高二11班\t0.917", + "20231215\t2025届高二10班\t0.900", + "20231215\t2025届高二09班\t0.926" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -562891,7 +562947,9 @@ "20231215\t2025届高二04班\t0.949", "20231215\t2025届高二05班\t0.974", "20231215\t2025届高二07班\t0.929", - "20231215\t2025届高二11班\t0.972" + "20231215\t2025届高二11班\t0.972", + "20231215\t2025届高二10班\t0.967", + "20231215\t2025届高二09班\t0.941" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -562928,7 +562986,9 @@ "20231215\t2025届高二04班\t0.962", "20231215\t2025届高二05班\t1.000", "20231215\t2025届高二07班\t0.988", - "20231215\t2025届高二11班\t0.979" + "20231215\t2025届高二11班\t0.979", + "20231215\t2025届高二10班\t1.000", + "20231215\t2025届高二09班\t0.956" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -563025,7 +563085,9 @@ "20231215\t2025届高二04班\t0.641", "20231215\t2025届高二05班\t0.517", "20231215\t2025届高二07班\t0.429", - "20231215\t2025届高二11班\t0.611" + "20231215\t2025届高二11班\t0.611", + "20231215\t2025届高二10班\t0.689", + "20231215\t2025届高二09班\t0.529" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -563064,7 +563126,9 @@ "20231215\t2025届高二04班\t0.972", "20231215\t2025届高二05班\t0.875", "20231215\t2025届高二07班\t0.889", - "20231215\t2025届高二11班\t0.979" + "20231215\t2025届高二11班\t0.979", + "20231215\t2025届高二10班\t0.982", + "20231215\t2025届高二09班\t0.973" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -563103,7 +563167,9 @@ "20231215\t2025届高二04班\t0.708", "20231215\t2025届高二05班\t0.797", "20231215\t2025届高二07班\t0.722", - "20231215\t2025届高二11班\t0.688" + "20231215\t2025届高二11班\t0.688", + "20231215\t2025届高二10班\t0.786", + "20231215\t2025届高二09班\t0.581" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -563142,7 +563208,9 @@ "20231215\t2025届高二04班\t0.806", "20231215\t2025届高二05班\t0.781", "20231215\t2025届高二07班\t0.778", - "20231215\t2025届高二11班\t0.708" + "20231215\t2025届高二11班\t0.708", + "20231215\t2025届高二10班\t0.839", + "20231215\t2025届高二09班\t0.770" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -563181,7 +563249,9 @@ "20231215\t2025届高二04班\t1.000\t0.986\t1.000", "20231215\t2025届高二05班\t1.000\t1.000\t0.969", "20231215\t2025届高二07班\t1.000\t0.972\t1.000", - "20231215\t2025届高二11班\t0.958\t1.000\t1.000" + "20231215\t2025届高二11班\t0.958\t1.000\t1.000", + "20231215\t2025届高二10班\t0.964\t0.964\t1.000", + "20231215\t2025届高二09班\t1.000\t1.000\t0.973" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -563220,7 +563290,9 @@ "20231215\t2025届高二04班\t1.000\t1.000\t0.917", "20231215\t2025届高二05班\t1.000\t1.000\t0.938", "20231215\t2025届高二07班\t0.972\t0.972\t0.944", - "20231215\t2025届高二11班\t1.000\t0.979\t0.958" + "20231215\t2025届高二11班\t1.000\t0.979\t0.958", + "20231215\t2025届高二10班\t1.000\t0.964\t0.964", + "20231215\t2025届高二09班\t0.946\t1.000\t0.946" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -563259,7 +563331,9 @@ "20231215\t2025届高二04班\t1.000\t0.889\t0.917", "20231215\t2025届高二05班\t1.000\t0.625\t0.594", "20231215\t2025届高二07班\t1.000\t0.556\t0.556", - "20231215\t2025届高二11班\t0.979\t0.875\t0.812" + "20231215\t2025届高二11班\t0.979\t0.875\t0.812", + "20231215\t2025届高二10班\t0.982\t0.750\t0.714", + "20231215\t2025届高二09班\t0.973\t0.540\t0.540" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -563298,7 +563372,9 @@ "20231215\t2025届高二04班\t0.750\t0.597\t0.694\t0.653\t0.778\t0.681", "20231215\t2025届高二05班\t0.594\t0.531\t0.531\t0.594\t0.500\t0.500", "20231215\t2025届高二07班\t0.667\t0.639\t0.583\t0.611\t0.667\t0.639", - "20231215\t2025届高二11班\t0.333\t0.292\t0.292\t0.271\t0.438\t0.250" + "20231215\t2025届高二11班\t0.333\t0.292\t0.292\t0.271\t0.438\t0.250", + "20231215\t2025届高二10班\t0.750\t0.625\t0.732\t0.464\t0.768\t0.625", + "20231215\t2025届高二09班\t0.540\t0.460\t0.486\t0.486\t0.622\t0.540" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -563328,7 +563404,16 @@ "20221124\t2024届高二09班\t0.960\t0.880", "20221124\t2024届高二10班\t0.840\t0.960", "20221124\t2024届高二11班\t0.828\t0.897", - "20221124\t2024届高二12班\t0.885\t0.923" + "20221124\t2024届高二12班\t0.885\t0.923", + "20231219\t2025届高二10班\t0.952\t0.976", + "20231219\t2025届高二11班\t0.912\t0.912", + "20231219\t2025届高二01班\t0.949\t0.974", + "20231219\t2025届高二02班\t0.975\t1.000", + "20231219\t2025届高二03班\t0.950\t0.950", + "20231219\t2025届高二04班\t0.935\t0.903", + "20231219\t2025届高二05班\t0.882\t0.912", + "20231219\t2025届高二07班\t0.871\t0.806", + "20231219\t2025届高二09班\t0.865\t0.892" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -563351,7 +563436,17 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231219\t2025届高二10班\t0.905", + "20231219\t2025届高二11班\t0.941", + "20231219\t2025届高二01班\t0.974", + "20231219\t2025届高二02班\t0.975", + "20231219\t2025届高二03班\t0.975", + "20231219\t2025届高二04班\t0.968", + "20231219\t2025届高二05班\t0.882", + "20231219\t2025届高二07班\t0.968", + "20231219\t2025届高二09班\t0.892" + ], "origin": "2024届高二校本作业必修第十二章", "edit": [ "20230101\t王伟叶" @@ -563380,7 +563475,16 @@ "20221124\t2024届高二09班\t0.760\t1.000\t0.960\t0.940", "20221124\t2024届高二10班\t0.720\t1.000\t0.880\t0.880", "20221124\t2024届高二11班\t0.724\t1.000\t0.897\t0.966", - "20221124\t2024届高二12班\t1.000\t0.942\t1.000\t1.000" + "20221124\t2024届高二12班\t1.000\t0.942\t1.000\t1.000", + "20231219\t2025届高二10班\t0.667\t1.000\t1.000\t0.952", + "20231219\t2025届高二11班\t0.588\t1.000\t1.000\t0.941", + "20231219\t2025届高二01班\t0.564\t0.974\t0.923\t1.000", + "20231219\t2025届高二02班\t0.800\t1.000\t0.950\t0.975", + "20231219\t2025届高二03班\t0.675\t0.925\t0.975\t1.000", + "20231219\t2025届高二04班\t0.613\t1.000\t0.968\t0.968", + "20231219\t2025届高二05班\t0.735\t0.941\t0.941\t0.971", + "20231219\t2025届高二07班\t0.710\t0.935\t0.903\t0.903", + "20231219\t2025届高二09班\t0.811\t1.000\t0.919\t0.892" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -563410,7 +563514,16 @@ "20221124\t2024届高二09班\t0.920\t1.000", "20221124\t2024届高二10班\t0.880\t0.960", "20221124\t2024届高二11班\t0.741\t0.983", - "20221124\t2024届高二12班\t1.000\t1.000" + "20221124\t2024届高二12班\t1.000\t1.000", + "20231219\t2025届高二10班\t0.857\t1.000", + "20231219\t2025届高二11班\t1.000\t0.941", + "20231219\t2025届高二01班\t0.974\t1.000", + "20231219\t2025届高二02班\t0.950\t1.000", + "20231219\t2025届高二03班\t0.975\t1.000", + "20231219\t2025届高二04班\t0.935\t0.968", + "20231219\t2025届高二05班\t0.941\t0.971", + "20231219\t2025届高二07班\t0.935\t0.935", + "20231219\t2025届高二09班\t0.946\t0.973" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -563440,7 +563553,16 @@ "20221124\t2024届高二09班\t1.000\t1.000", "20221124\t2024届高二10班\t0.800\t0.680", "20221124\t2024届高二11班\t0.948\t0.966", - "20221124\t2024届高二12班\t0.942\t0.846" + "20221124\t2024届高二12班\t0.942\t0.846", + "20231219\t2025届高二10班\t0.881\t0.714", + "20231219\t2025届高二11班\t0.735\t0.559", + "20231219\t2025届高二01班\t0.936\t0.833", + "20231219\t2025届高二02班\t0.887\t0.875", + "20231219\t2025届高二03班\t0.950\t0.900", + "20231219\t2025届高二04班\t0.806\t0.726", + "20231219\t2025届高二05班\t0.971\t0.794", + "20231219\t2025届高二07班\t0.790\t0.629", + "20231219\t2025届高二09班\t0.824\t0.662" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -563470,7 +563592,16 @@ "20221124\t2024届高二09班\t0.760", "20221124\t2024届高二10班\t0.660", "20221124\t2024届高二11班\t0.741", - "20221124\t2024届高二12班\t0.731" + "20221124\t2024届高二12班\t0.731", + "20231219\t2025届高二10班\t0.476", + "20231219\t2025届高二11班\t0.647", + 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"20221124\t2024届高二12班\t0.885\t0.769", + "20231219\t2025届高二10班\t1.000\t0.857", + "20231219\t2025届高二11班\t0.824\t0.706", + "20231219\t2025届高二01班\t1.000\t0.859", + "20231219\t2025届高二02班\t1.000\t0.825", + "20231219\t2025届高二03班\t0.875\t0.812", + "20231219\t2025届高二04班\t0.984\t0.806", + "20231219\t2025届高二05班\t0.926\t0.824", + "20231219\t2025届高二07班\t0.823\t0.726", + "20231219\t2025届高二09班\t0.973\t0.662" ], "origin": "2024届高二校本作业必修第十二章", "edit": [ @@ -563553,7 +563702,14 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231222\t2025届高二11班\t0.905", + "20231222\t2025届高二01班\t1.000", + "20231222\t2025届高二02班\t1.000", + "20231222\t2025届高二04班\t0.976", + "20231222\t2025届高二05班\t1.000", + "20231222\t2025届高二07班\t0.975" + ], "origin": "2024届高二校本作业必修第十三章", "edit": [ "20230101\t王伟叶" @@ -563575,7 +563731,14 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231222\t2025届高二11班\t0.905", + "20231222\t2025届高二01班\t1.000", + "20231222\t2025届高二02班\t0.978", + "20231222\t2025届高二04班\t1.000", + "20231222\t2025届高二05班\t1.000", + "20231222\t2025届高二07班\t0.925" + ], "origin": "2024届高二校本作业必修第十三章", "edit": [ "20230101\t王伟叶" @@ -563597,7 +563760,14 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231222\t2025届高二11班\t0.952", + "20231222\t2025届高二01班\t1.000", + "20231222\t2025届高二02班\t1.000", + "20231222\t2025届高二04班\t0.976", + "20231222\t2025届高二05班\t0.886", + "20231222\t2025届高二07班\t0.950" + ], "origin": "2024届高二校本作业必修第十三章", "edit": [ "20230101\t王伟叶" @@ -563619,7 +563789,14 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231222\t2025届高二11班\t1.000", + "20231222\t2025届高二01班\t0.946", + "20231222\t2025届高二02班\t0.800", + "20231222\t2025届高二04班\t1.000", + "20231222\t2025届高二05班\t0.971", + "20231222\t2025届高二07班\t1.000" + ], "origin": "2024届高二校本作业必修第十三章", "edit": [ "20230101\t王伟叶" @@ -563646,7 +563823,13 @@ "20221204\t2024届高二05班\t0.581", "20221204\t2024届高二07班\t0.425", "20221204\t2024届高二10班\t0.560", - "20221204\t2024届高二11班\t0.571" + "20221204\t2024届高二11班\t0.571", + "20231222\t2025届高二11班\t0.619", + "20231222\t2025届高二01班\t0.892", + "20231222\t2025届高二02班\t0.956", + "20231222\t2025届高二04班\t0.902", + "20231222\t2025届高二05班\t0.886", + "20231222\t2025届高二07班\t0.825" ], "origin": "2024届高二校本作业必修第十三章", "edit": [ @@ -563674,7 +563857,13 @@ "20221204\t2024届高二05班\t0.979", "20221204\t2024届高二07班\t1.000", "20221204\t2024届高二10班\t0.987", - "20221204\t2024届高二11班\t0.952" + "20221204\t2024届高二11班\t0.952", + "20231222\t2025届高二11班\t1.000", + "20231222\t2025届高二01班\t1.000", + "20231222\t2025届高二02班\t1.000", + "20231222\t2025届高二04班\t1.000", + "20231222\t2025届高二05班\t0.986", + "20231222\t2025届高二07班\t0.988" ], "origin": "2024届高二校本作业必修第十三章", "edit": [ @@ -563702,7 +563891,13 @@ "20221204\t2024届高二05班\t0.968\t0.935\t0.968", "20221204\t2024届高二07班\t1.000\t0.950\t0.975", "20221204\t2024届高二10班\t0.920\t0.960\t1.000", - "20221204\t2024届高二11班\t1.000\t1.000\t0.893" + "20221204\t2024届高二11班\t1.000\t1.000\t0.893", + "20231222\t2025届高二11班\t0.952", + "20231222\t2025届高二01班\t0.973", + "20231222\t2025届高二02班\t1.000", + "20231222\t2025届高二04班\t0.976", + "20231222\t2025届高二05班\t0.971", + "20231222\t2025届高二07班\t0.967" ], "origin": "2024届高二校本作业必修第十三章", "edit": [ @@ -563730,7 +563925,13 @@ "20221204\t2024届高二05班\t0.984", "20221204\t2024届高二07班\t0.800", "20221204\t2024届高二10班\t1.000", - "20221204\t2024届高二11班\t0.875" + "20221204\t2024届高二11班\t0.875", + "20231222\t2025届高二11班\t1.000", + "20231222\t2025届高二01班\t0.878", + "20231222\t2025届高二02班\t0.956", + "20231222\t2025届高二04班\t1.000", + "20231222\t2025届高二05班\t0.986", + "20231222\t2025届高二07班\t0.912" ], "origin": "2024届高二校本作业必修第十三章", "edit": [ @@ -563758,7 +563959,13 @@ "20221204\t2024届高二05班\t0.968", "20221204\t2024届高二07班\t0.800", "20221204\t2024届高二10班\t0.920", - "20221204\t2024届高二11班\t1.000" + "20221204\t2024届高二11班\t1.000", + "20231222\t2025届高二11班\t0.905", + "20231222\t2025届高二01班\t1.000", + "20231222\t2025届高二02班\t1.000", + "20231222\t2025届高二04班\t0.902", + "20231222\t2025届高二05班\t0.971", + "20231222\t2025届高二07班\t0.975" ], "origin": "2024届高二校本作业必修第十三章", "edit": [ @@ -563786,7 +563993,13 @@ "20221204\t2024届高二05班\t0.774", "20221204\t2024届高二07班\t0.800", "20221204\t2024届高二10班\t0.880", - "20221204\t2024届高二11班\t1.000" + "20221204\t2024届高二11班\t1.000", + "20231222\t2025届高二11班\t0.571", + "20231222\t2025届高二01班\t1.000", + "20231222\t2025届高二02班\t0.933", + "20231222\t2025届高二04班\t0.951", + "20231222\t2025届高二05班\t1.000", + "20231222\t2025届高二07班\t0.850" ], "origin": "2024届高二校本作业必修第十三章", "edit": [ @@ -563814,7 +564027,13 @@ "20221204\t2024届高二05班\t0.742", "20221204\t2024届高二07班\t0.825", "20221204\t2024届高二10班\t0.720", - "20221204\t2024届高二11班\t0.786" + "20221204\t2024届高二11班\t0.786", + "20231222\t2025届高二11班\t0.762", + "20231222\t2025届高二01班\t0.838", + "20231222\t2025届高二02班\t0.889", + "20231222\t2025届高二04班\t0.829", + "20231222\t2025届高二05班\t0.914", + "20231222\t2025届高二07班\t0.750" ], "origin": "2024届高二校本作业必修第十三章", "edit": [ @@ -563842,7 +564061,13 @@ "20221204\t2024届高二05班\t0.855", "20221204\t2024届高二07班\t0.650", "20221204\t2024届高二10班\t0.780", - "20221204\t2024届高二11班\t0.839" + "20221204\t2024届高二11班\t0.839", + "20231222\t2025届高二11班\t0.691", + "20231222\t2025届高二01班\t0.946", + "20231222\t2025届高二02班\t0.956", + "20231222\t2025届高二04班\t0.695", + "20231222\t2025届高二05班\t0.900", + "20231222\t2025届高二07班\t0.863" ], "origin": "2024届高二校本作业必修第十三章", "edit": [ @@ -563870,7 +564095,13 @@ "20221204\t2024届高二05班\t0.935", "20221204\t2024届高二07班\t0.625", "20221204\t2024届高二10班\t0.800", - "20221204\t2024届高二11班\t0.929" + "20221204\t2024届高二11班\t0.929", + "20231222\t2025届高二11班\t0.762", + "20231222\t2025届高二01班\t0.905", + "20231222\t2025届高二02班\t0.900", + "20231222\t2025届高二04班\t0.744", + "20231222\t2025届高二05班\t0.929", + "20231222\t2025届高二07班\t0.938" ], "origin": "2024届高二校本作业必修第十三章", "edit": [ From d2450b4e8459fe4cfe69097007674619fc5642e0 Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Fri, 22 Dec 2023 20:49:55 +0800 Subject: [PATCH 03/12] =?UTF-8?q?=E5=BD=95=E5=85=A52026=E5=B1=8A=E9=AB=98?= =?UTF-8?q?=E4=B8=80=E4=BD=BF=E7=94=A8=E6=95=B0=E6=8D=AE=E6=88=AA=E8=87=B3?= =?UTF-8?q?20231222?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 题库0.3/Problems.json | 722 ++++++++++++++++++++++++++++++++++++++---- 1 file changed, 664 insertions(+), 58 deletions(-) diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 8084b5e4..83b6a761 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -56509,7 +56509,19 @@ "duration": -1, "usages": [ "2016届11班\t0.872", - "2016届12班\t0.921" + "2016届12班\t0.921", + "20231218\t2026届高一10班\t1.000", + "20231218\t2026届高一11班\t0.923", + "20231218\t2026届高一12班\t0.929", + "20231218\t2026届高一01班\t0.925", + "20231218\t2026届高一02班\t0.884", + "20231218\t2026届高一03班\t0.950", + "20231218\t2026届高一04班\t0.816", + "20231218\t2026届高一05班\t0.954", + "20231218\t2026届高一06班\t0.943", + "20231218\t2026届高一07班\t0.923", + "20231218\t2026届高一08班\t0.917", + 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"20231221\t2026届高一09班\t0.750" + ], "origin": "自拟题目", "edit": [ "20231218\t赵琍琍" @@ -614230,7 +614811,12 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231221\t2026届高一10班\t0.625", + "20231221\t2026届高一12班\t0.692", + "20231221\t2026届高一03班\t0.738", + "20231221\t2026届高一09班\t0.650" + ], "origin": "自拟题目", "edit": [ "20231218\t赵琍琍" @@ -614250,7 +614836,12 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231221\t2026届高一10班\t0.700", + "20231221\t2026届高一12班\t0.872", + "20231221\t2026届高一03班\t0.762", + "20231221\t2026届高一09班\t0.650" + ], "origin": "自拟题目", "edit": [ "20231218\t赵琍琍" @@ -614270,7 +614861,12 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231221\t2026届高一10班\t0.975", + "20231221\t2026届高一12班\t0.974", + "20231221\t2026届高一03班\t0.976", + "20231221\t2026届高一09班\t0.975" + ], "origin": "自拟题目", "edit": [ "20231218\t赵琍琍" @@ -614290,7 +614886,12 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231221\t2026届高一10班\t0.500\t0.200", + "20231221\t2026届高一12班\t0.564\t0.462", + "20231221\t2026届高一03班\t0.357\t0.238", + "20231221\t2026届高一09班\t0.475\t0.275" + ], "origin": "自拟题目", "edit": [ "20231218\t赵琍琍" @@ -614310,7 +614911,12 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231221\t2026届高一10班\t0.825\t0.175", + "20231221\t2026届高一12班\t0.897\t0.308", + "20231221\t2026届高一03班\t0.714\t0.024", + "20231221\t2026届高一09班\t0.875\t0.075" + ], "origin": "自拟题目", "edit": [ "20231218\t赵琍琍" From e1ec3a28b39d8aafe751c86907f949904e44b59e Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Fri, 22 Dec 2023 22:07:28 +0800 Subject: [PATCH 04/12] =?UTF-8?q?=E5=AF=BC=E5=85=A5=E9=83=A8=E5=88=862025?= =?UTF-8?q?=E5=B1=8A=E9=AB=98=E4=BA=8C=E4=B8=8A=E6=A0=A1=E6=9C=AC=E4=BD=9C?= =?UTF-8?q?=E4=B8=9A=E7=AD=94=E6=A1=88?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 题库0.3/Problems.json | 522 +++++++++++++++++++++--------------------- 1 file changed, 261 insertions(+), 261 deletions(-) diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 83b6a761..740af990 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -7220,7 +7220,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\sqrt{h^{2}+{\\frac{a}{4}}^{2}}$; (2) $h=1$时, $V=\\frac{1}{6}$.", "solution": "", "duration": -1, "usages": [ @@ -255579,7 +255579,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "是.", "solution": "", "duration": -1, "usages": [ @@ -255611,7 +255611,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\arccos\\frac{2}{5}$; (2) $\\arccos\\frac{\\sqrt{10}}{10}$.", "solution": "", "duration": -1, "usages": [ @@ -255643,7 +255643,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$8$.", "solution": "", "duration": -1, "usages": [ @@ -255719,7 +255719,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略.", "solution": "", "duration": -1, "usages": [ @@ -255993,7 +255993,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$\\arctan{\\dfrac{\\sqrt{5}}{2}}$", "solution": "", "duration": -1, "usages": [ @@ -256140,7 +256140,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "(1) $\\dfrac{\\sqrt{6}}2$; (2) $\\dfrac{\\sqrt{6}}3$; (3) $\\dfrac{\\sqrt{2}}2$; (4) $\\dfrac{\\sqrt{2}}2$", "solution": "", "duration": -1, "usages": [ @@ -256194,7 +256194,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$\\arcsin{\\dfrac{3}{8}}$", "solution": "", "duration": -1, "usages": [ @@ -256248,7 +256248,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "(1) 错误; (2) 错误; (3) 错误; (4) 正确", "solution": "", "duration": -1, "usages": [ @@ -256494,7 +256494,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略", "solution": "", "duration": -1, "usages": [ @@ -257403,7 +257403,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略.", "solution": "", "duration": -1, "usages": [ @@ -290040,7 +290040,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略.", "solution": "", "duration": -1, "usages": [ @@ -290094,7 +290094,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [ @@ -290534,7 +290534,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$AB$和平面$\\alpha$所成角的大小为$\\arccos{\\dfrac18}$, $AC$和平面$\\alpha$所成角的大小为$\\arccos{\\dfrac34}$", "solution": "", "duration": -1, "usages": [ @@ -290612,7 +290612,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略", "solution": "", "duration": -1, "usages": [ @@ -291596,7 +291596,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$9$", "solution": "", "duration": -1, "usages": [ @@ -525097,7 +525097,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "(1) $A\\in l$, $B\\not\\in l$; (2) $A\\in \\beta$, $B\\not\\in \\beta$; (3) $l\\cap \\alpha=\\varnothing$; (4) $l\\subset \\alpha$", "solution": "", "duration": -1, "usages": [ @@ -525127,7 +525127,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "错, 错, 错, 对.", "solution": "", "duration": -1, "usages": [ @@ -525157,7 +525157,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "略.", "solution": "", "duration": -1, "usages": [ @@ -525185,7 +525185,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\frac{\\pi}{4}$.", "solution": "", "duration": -1, "usages": [ @@ -525215,7 +525215,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$5$.", "solution": "", "duration": -1, "usages": [ @@ -525245,7 +525245,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\frac{\\pi}{4}$.", "solution": "", "duration": -1, "usages": [ @@ -525275,7 +525275,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "略", "solution": "", "duration": -1, "usages": [ @@ -525491,7 +525491,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$(0,\\sqrt{3})$.", "solution": "", "duration": -1, "usages": [ @@ -525521,7 +525521,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "(1) 略; (2) 略; (3) $\\frac{\\pi}{4}$.", "solution": "", "duration": -1, "usages": [ @@ -525551,7 +525551,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{\\pi}4$", "solution": "", "duration": -1, "usages": [ @@ -525579,7 +525579,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "(1) $\\dfrac{\\sqrt{6}}3$; (2) $\\dfrac{\\sqrt{3}}3$", "solution": "", "duration": -1, "usages": [ @@ -525609,7 +525609,7 @@ "第六单元" ], "genre": "4em", - "ans": "", + "ans": "(1) $\\sqrt{7}$; (2) 略", "solution": "", "duration": -1, "usages": [ @@ -553583,7 +553583,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$P\\in l\\subset\\alpha$", "solution": "", "duration": -1, "usages": [ @@ -553622,7 +553622,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $M\\in\\alpha\\cap\\beta $; (2) $\\alpha\\cap\\beta=\\phi,l\\cap \\alpha=A,l\\cap\\beta=B$; (3) $\\alpha\\cap\\beta=l$, $l\\cap\\gamma=\\phi$; (4) $l\\subset\\alpha$,$M\\in\\alpha$, $M\\notin l$; (5) $\\alpha\\cap\\beta=l$, $a\\cap\\alpha=\\phi$, $a\\cap\\beta=\\phi$.", "solution": "", "duration": -1, "usages": [ @@ -553661,7 +553661,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "错, 错, 错, 对.", "solution": "", "duration": -1, "usages": [ @@ -553700,7 +553700,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "若$\\alpha\\cap\\beta=l$, $\\alpha\\cap\\gamma=m$, $\\beta\\cap\\gamma=n$, $l\\parallel m$, 则$l\\parallel m\\parallel n$.", "solution": "", "duration": -1, "usages": [ @@ -553739,7 +553739,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{1}\\textcircled{4}.", "solution": "", "duration": -1, "usages": [ @@ -553778,7 +553778,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略", "solution": "", "duration": -1, "usages": [ @@ -553817,7 +553817,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$4$", "solution": "", "duration": -1, "usages": [ @@ -553886,7 +553886,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "三点不共线, 相交或平行.", "solution": "", "duration": -1, "usages": [ @@ -553929,7 +553929,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "过这一点.", "solution": "", "duration": -1, "usages": [ @@ -553972,7 +553972,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [ @@ -554004,7 +554004,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [ @@ -554038,7 +554038,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -554104,7 +554104,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{2}.", "solution": "", "duration": -1, "usages": [ @@ -554147,7 +554147,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略.", "solution": "", "duration": -1, "usages": [ @@ -554224,7 +554224,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略.", "solution": "", "duration": -1, "usages": [ @@ -554267,7 +554267,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [ @@ -554297,7 +554297,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -554327,7 +554327,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [ @@ -554357,7 +554357,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [ @@ -554387,7 +554387,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [ @@ -554417,7 +554417,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略.", "solution": "", "duration": -1, "usages": [ @@ -554456,7 +554456,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$6\\sqrt{5}$.", "solution": "", "duration": -1, "usages": [ @@ -554495,7 +554495,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$16$.", "solution": "", "duration": -1, "usages": [ @@ -554578,7 +554578,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$\\frac{3\\sqrt{2}}{8}$.", "solution": "", "duration": -1, "usages": [ @@ -554617,7 +554617,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$30^{\\circ}$或$150^{\\circ}$.", "solution": "", "duration": -1, "usages": [ @@ -554656,7 +554656,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "平行.", "solution": "", "duration": -1, "usages": [ @@ -554695,7 +554695,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$c\\parallel d$.", "solution": "", "duration": -1, "usages": [ @@ -554734,7 +554734,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略.", "solution": "", "duration": -1, "usages": [ @@ -554773,7 +554773,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略, $EFGH$为菱形.", "solution": "", "duration": -1, "usages": [ @@ -554812,7 +554812,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略.", "solution": "", "duration": -1, "usages": [ @@ -554851,7 +554851,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略.", "solution": "", "duration": -1, "usages": [ @@ -554890,7 +554890,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略.", "solution": "", "duration": -1, "usages": [ @@ -554929,7 +554929,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略.", "solution": "", "duration": -1, "usages": [ @@ -555000,7 +555000,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "平行或异面.", "solution": "", "duration": -1, "usages": [ @@ -555041,7 +555041,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [ @@ -555073,7 +555073,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [ @@ -555105,7 +555105,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [ @@ -555137,7 +555137,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -555169,7 +555169,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略.", "solution": "", "duration": -1, "usages": [ @@ -555242,7 +555242,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$24$.", "solution": "", "duration": -1, "usages": [ @@ -555411,7 +555411,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$\\arctan\\frac{2\\sqrt{5}}{5}$.", "solution": "", "duration": -1, "usages": [ @@ -555452,7 +555452,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$\\frac{\\pi}{2}$.", "solution": "", "duration": -1, "usages": [ @@ -555525,7 +555525,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [ @@ -555566,7 +555566,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{3}\\textcircled{4}.", "solution": "", "duration": -1, "usages": [ @@ -555607,7 +555607,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$\\arctan\\frac{1}{2}$.", "solution": "", "duration": -1, "usages": [ @@ -555648,7 +555648,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "对, 错, 错, 对, 错, 错.", "solution": "", "duration": -1, "usages": [ @@ -555689,7 +555689,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$MN\\parallel $平面$ABCD$.", "solution": "", "duration": -1, "usages": [ @@ -555730,7 +555730,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "平行.", "solution": "", "duration": -1, "usages": [ @@ -555771,7 +555771,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{1}\\textcircled{2}\\textcircled{3}\\textcircled{4}.", "solution": "", "duration": -1, "usages": [ @@ -555812,7 +555812,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略", "solution": "", "duration": -1, "usages": [ @@ -555853,7 +555853,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略", "solution": "", "duration": -1, "usages": [ @@ -555958,7 +555958,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略", "solution": "", "duration": -1, "usages": [ @@ -555999,7 +555999,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -556031,7 +556031,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "(1) $A_1B$; (2) $AB$; (3) $B_1B$", "solution": "", "duration": -1, "usages": [ @@ -556106,7 +556106,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略", "solution": "", "duration": -1, "usages": [ @@ -556148,7 +556148,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$5\\sqrt{2}$", "solution": "", "duration": -1, "usages": [ @@ -556190,7 +556190,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [ @@ -556277,7 +556277,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略", "solution": "", "duration": -1, "usages": [ @@ -556319,7 +556319,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 错误; (2) 错误; (3) 错误; (4) 错误", "solution": "", "duration": -1, "usages": [ @@ -556360,7 +556360,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$[0,\\dfrac{\\pi}2]$", "solution": "", "duration": -1, "usages": [ @@ -556401,7 +556401,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$30^\\circ$", "solution": "", "duration": -1, "usages": [ @@ -556442,7 +556442,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$45^\\circ$", "solution": "", "duration": -1, "usages": [ @@ -556483,7 +556483,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{\\pi}3$", "solution": "", "duration": -1, "usages": [ @@ -556588,7 +556588,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -556620,7 +556620,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [ @@ -556652,7 +556652,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [ @@ -556684,7 +556684,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [ @@ -556716,7 +556716,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{\\pi}{6}$", "solution": "", "duration": -1, "usages": [ @@ -556757,7 +556757,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{2\\sqrt{30}}{5}$", "solution": "", "duration": -1, "usages": [ @@ -556798,7 +556798,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "(1) 外心; (2) 中心; (3) 垂心; (4) 内心", "solution": "", "duration": -1, "usages": [ @@ -556839,7 +556839,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [ @@ -556871,7 +556871,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{1}\\textcircled{2}\\textcircled{3}\\textcircled{4}", "solution": "", "duration": -1, "usages": [ @@ -556912,7 +556912,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略", "solution": "", "duration": -1, "usages": [ @@ -556985,7 +556985,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\theta_1>\\theta_2$; (2) $4$或$6$", "solution": "", "duration": -1, "usages": [ @@ -557026,7 +557026,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{3}", "solution": "", "duration": -1, "usages": [ @@ -557067,7 +557067,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 错误; (2) 错误; (3) 错误", "solution": "", "duration": -1, "usages": [ @@ -557140,7 +557140,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略", "solution": "", "duration": -1, "usages": [ @@ -557181,7 +557181,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{4}", "solution": "", "duration": -1, "usages": [ @@ -557222,7 +557222,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略", "solution": "", "duration": -1, "usages": [ @@ -557263,7 +557263,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略", "solution": "", "duration": -1, "usages": [ @@ -557345,7 +557345,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\frac{\\pi}{4}$.", "solution": "", "duration": -1, "usages": [ @@ -557386,7 +557386,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "内心.", "solution": "", "duration": -1, "usages": [ @@ -557427,7 +557427,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{\\sqrt{5}}3$", "solution": "", "duration": -1, "usages": [ @@ -557464,7 +557464,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$\\sqrt{3}$", "solution": "", "duration": -1, "usages": [ @@ -557582,7 +557582,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 略; (2) $\\sqrt{13}$.", "solution": "", "duration": -1, "usages": [ @@ -557623,7 +557623,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 略; (2) $arccos\\frac{\\sqrt{7}}{7}$.", "solution": "", "duration": -1, "usages": [ @@ -557661,7 +557661,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "略.", "solution": "", "duration": -1, "usages": [ @@ -557699,7 +557699,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 略; (2) $\\frac{\\sqrt{6}}{3}$.", "solution": "", "duration": -1, "usages": [ @@ -557766,7 +557766,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$250\\sqrt{2}$", "solution": "", "duration": -1, "usages": [ @@ -557837,7 +557837,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "内心", "solution": "", "duration": -1, "usages": [ @@ -557876,7 +557876,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "(1) $120^\\circ$; (2) $\\sqrt{13}$", "solution": "", "duration": -1, "usages": [ @@ -557915,7 +557915,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$(0,\\sqrt{3})$", "solution": "", "duration": -1, "usages": [ @@ -557988,7 +557988,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $b$, $c$, $\\dfrac{bc}{\\sqrt{b^2+c^2}}$; (2) $\\dfrac{a^2-b^2}{\\sqrt{a^2+b^2+c^2}\\sqrt{a^2+b^2}}$", "solution": "", "duration": -1, "usages": [ @@ -558027,7 +558027,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 正确; (2) 错误; (3) 错误", "solution": "", "duration": -1, "usages": [ @@ -558066,7 +558066,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\sqrt{a^2+b^2+c^2}$", "solution": "", "duration": -1, "usages": [ @@ -558105,7 +558105,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$P \\supset N \\supset M \\supset Q$", "solution": "", "duration": -1, "usages": [ @@ -558144,7 +558144,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{1}", "solution": "", "duration": -1, "usages": [ @@ -558183,7 +558183,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -558222,7 +558222,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "略", "solution": "", "duration": -1, "usages": [ @@ -558261,7 +558261,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -558300,7 +558300,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$\\cos ^2 \\alpha+\\cos ^2 \\beta + \\cos^2 \\gamma=1$", "solution": "", "duration": -1, "usages": [ @@ -558339,7 +558339,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$Sh$, 相等", "solution": "", "duration": -1, "usages": [ @@ -558376,7 +558376,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$4$", "solution": "", "duration": -1, "usages": [ @@ -558413,7 +558413,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$48$", "solution": "", "duration": -1, "usages": [ @@ -558450,7 +558450,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$300\\sqrt{3}\\text{cm}^3$", "solution": "", "duration": -1, "usages": [ @@ -558487,7 +558487,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$375\\text{t}$", "solution": "", "duration": -1, "usages": [ @@ -558524,7 +558524,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$252$个", "solution": "", "duration": -1, "usages": [ @@ -558561,7 +558561,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$270\\sqrt{3}\\text{cm}^3$, $\\dfrac{225}{2}\\sqrt{3}\\text{cm}^3$", "solution": "", "duration": -1, "usages": [ @@ -558598,7 +558598,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$1.1\\times 10^{-4}$", "solution": "", "duration": -1, "usages": [ @@ -558633,7 +558633,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$132$", "solution": "", "duration": -1, "usages": [ @@ -558670,7 +558670,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{CS}{4\\pi}$", "solution": "", "duration": -1, "usages": [ @@ -558707,7 +558707,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\sqrt{3}h^2$, $\\dfrac{3h^2}{2\\pi}+\\sqrt{3}h^2$", "solution": "", "duration": -1, "usages": [ @@ -558744,7 +558744,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$132$", "solution": "", "duration": -1, "usages": [ @@ -558781,7 +558781,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$(6\\sqrt{3}+8)\\pi$", "solution": "", "duration": -1, "usages": [ @@ -558850,7 +558850,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$2\\sqrt{2Ph^2+Q^2}$", "solution": "", "duration": -1, "usages": [ @@ -558887,7 +558887,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 略; (2) $\\dfrac98a^2$", "solution": "", "duration": -1, "usages": [ @@ -558924,7 +558924,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$V_1:V_2=\\pi:4$, 正方体体积小", "solution": "", "duration": -1, "usages": [ @@ -558961,7 +558961,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "错, 对, 错, 错.", "solution": "", "duration": -1, "usages": [ @@ -559001,7 +559001,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [ @@ -559032,7 +559032,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{5}.", "solution": "", "duration": -1, "usages": [ @@ -559072,7 +559072,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "外心.", "solution": "", "duration": -1, "usages": [ @@ -559112,7 +559112,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "内心.", "solution": "", "duration": -1, "usages": [ @@ -559152,7 +559152,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 两个直三棱柱; (2) 三棱锥, 四棱锥.", "solution": "", "duration": -1, "usages": [ @@ -559192,7 +559192,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\frac{1}{6}$.", "solution": "", "duration": -1, "usages": [ @@ -559222,7 +559222,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\frac{\\sqrt{Q^{2}P-P^{3}}}{6}$.", "solution": "", "duration": -1, "usages": [ @@ -559252,7 +559252,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\frac{\\pi}{4}$.", "solution": "", "duration": -1, "usages": [ @@ -559282,7 +559282,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -559312,7 +559312,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -559342,7 +559342,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$96\\sqrt{3}$.", "solution": "", "duration": -1, "usages": [ @@ -559372,7 +559372,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$0.5\\text{kg}$.", "solution": "", "duration": -1, "usages": [ @@ -559402,7 +559402,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$1200\\pi \\text{cm}^{3}$.", "solution": "", "duration": -1, "usages": [ @@ -559432,7 +559432,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\frac{2\\pi h^{2}}{3}$.", "solution": "", "duration": -1, "usages": [ @@ -559461,7 +559461,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$4\\pi$.", "solution": "", "duration": -1, "usages": [ @@ -559490,7 +559490,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$1$.", "solution": "", "duration": -1, "usages": [ @@ -559519,7 +559519,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$8\\sqrt{3}$.", "solution": "", "duration": -1, "usages": [ @@ -559548,7 +559548,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\frac{200\\pi}{3}$.", "solution": "", "duration": -1, "usages": [ @@ -559577,7 +559577,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$48cm^{2}$.", "solution": "", "duration": -1, "usages": [ @@ -559606,7 +559606,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$\\frac{\\sqrt{3}a^{2}}{4}+\\frac{\\sqrt{6}a^{2}}{4}$.", "solution": "", "duration": -1, "usages": [ @@ -559635,7 +559635,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$ab+2ab\\sin\\theta$.", "solution": "", "duration": -1, "usages": [ @@ -559664,7 +559664,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$100\\pi \\text{cm}^{2}$.", "solution": "", "duration": -1, "usages": [ @@ -559693,7 +559693,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$4:6$.", "solution": "", "duration": -1, "usages": [ @@ -559722,7 +559722,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$1$个或无穷多个", "solution": "", "duration": -1, "usages": [ @@ -559753,7 +559753,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$4\\text{cm}$", "solution": "", "duration": -1, "usages": [ @@ -559784,7 +559784,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$8\\sqrt{2}\\text{cm}$", "solution": "", "duration": -1, "usages": [ @@ -559815,7 +559815,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$10$", "solution": "", "duration": -1, "usages": [ @@ -559846,7 +559846,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$4$", "solution": "", "duration": -1, "usages": [ @@ -559877,7 +559877,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$1:2\\sqrt{2}:3\\sqrt{3}$", "solution": "", "duration": -1, "usages": [ @@ -559908,7 +559908,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\frac{\\sqrt{3}}{2}\\pi V$", "solution": "", "duration": -1, "usages": [ @@ -559939,7 +559939,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$3\\sqrt{259}$", "solution": "", "duration": -1, "usages": [ @@ -559970,7 +559970,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$\\pi(R^2-d^2)$", "solution": "", "duration": -1, "usages": [ @@ -560001,7 +560001,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$2$", "solution": "", "duration": -1, "usages": [ @@ -560033,7 +560033,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$4.5$", "solution": "", "duration": -1, "usages": [ @@ -560065,7 +560065,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$1000$", "solution": "", "duration": -1, "usages": [ @@ -560096,7 +560096,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$72$", "solution": "", "duration": -1, "usages": [ @@ -560150,7 +560150,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$40$", "solution": "", "duration": -1, "usages": [ @@ -560205,7 +560205,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$36$", "solution": "", "duration": -1, "usages": [ @@ -560236,7 +560236,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$81$", "solution": "", "duration": -1, "usages": [ @@ -560267,7 +560267,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "(1) $180$; (2) $100$", "solution": "", "duration": -1, "usages": [ @@ -560298,7 +560298,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "(1) $48$; (2) $16$", "solution": "", "duration": -1, "usages": [ @@ -560329,7 +560329,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "(1) $36$; (2) $6$; (3) $30$", "solution": "", "duration": -1, "usages": [ @@ -560360,7 +560360,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "(1) $38$; (2) $357$", "solution": "", "duration": -1, "usages": [ @@ -560391,7 +560391,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$11$", "solution": "", "duration": -1, "usages": [ @@ -560422,7 +560422,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$17$", "solution": "", "duration": -1, "usages": [ @@ -560453,7 +560453,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$42$", "solution": "", "duration": -1, "usages": [ @@ -560484,7 +560484,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$2296$", "solution": "", "duration": -1, "usages": [ @@ -560515,7 +560515,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$78$", "solution": "", "duration": -1, "usages": [ @@ -560546,7 +560546,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$504$", "solution": "", "duration": -1, "usages": [ @@ -560577,7 +560577,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$42$", "solution": "", "duration": -1, "usages": [ @@ -560608,7 +560608,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$113$", "solution": "", "duration": -1, "usages": [ @@ -560639,7 +560639,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$12$", "solution": "", "duration": -1, "usages": [ @@ -560670,7 +560670,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$32760$", "solution": "", "duration": -1, "usages": [ @@ -560701,7 +560701,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$60$", "solution": "", "duration": -1, "usages": [ @@ -560732,7 +560732,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$6$", "solution": "", "duration": -1, "usages": [ @@ -560763,7 +560763,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$30$", "solution": "", "duration": -1, "usages": [ @@ -560794,7 +560794,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$240$", "solution": "", "duration": -1, "usages": [ @@ -560825,7 +560825,7 @@ "排列组合" ], "genre": "填空题", - "ans": "", + "ans": "(1) $6$; (2) $5$; (3) $4$", "solution": "", "duration": -1, "usages": [ @@ -560856,7 +560856,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$40$", "solution": "", "duration": -1, "usages": [ @@ -560887,7 +560887,7 @@ "排列组合" ], "genre": "填空题", - "ans": "", + "ans": "$6$", "solution": "", "duration": -1, "usages": [ @@ -560918,7 +560918,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$100$", "solution": "", "duration": -1, "usages": [ @@ -560949,7 +560949,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$1-\\dfrac{1}{n!}$", "solution": "", "duration": -1, "usages": [ @@ -560980,7 +560980,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "略", "solution": "", "duration": -1, "usages": [ @@ -561011,7 +561011,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$96$", "solution": "", "duration": -1, "usages": [ @@ -561044,7 +561044,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$8640$", "solution": "", "duration": -1, "usages": [ @@ -561077,7 +561077,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$144$", "solution": "", "duration": -1, "usages": [ @@ -561110,7 +561110,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$4536$", "solution": "", "duration": -1, "usages": [ @@ -561143,7 +561143,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "(1) $240$; (2) $1200$", "solution": "", "duration": -1, "usages": [ @@ -561176,7 +561176,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$252$", "solution": "", "duration": -1, "usages": [ @@ -561209,7 +561209,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "(1) $240$; (2) $1440$; (3) $2520$", "solution": "", "duration": -1, "usages": [ @@ -561242,7 +561242,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "(1) $384$; (2) $48$", "solution": "", "duration": -1, "usages": [ @@ -561275,7 +561275,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$60480$", "solution": "", "duration": -1, "usages": [ @@ -561308,7 +561308,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$30$", "solution": "", "duration": -1, "usages": [ @@ -561341,7 +561341,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "(1) 排列; (2) 组合; (3) 组合; (4)排列", "solution": "", "duration": -1, "usages": [ 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"ans": "", + "ans": "(1) $13$; (2) $27$; (3) $12$", "solution": "", "duration": -1, "usages": [ @@ -561941,7 +561941,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "(1) $18$; (2) $27$; (3) $21$", "solution": "", "duration": -1, "usages": [ @@ -561975,7 +561975,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$126$", "solution": "", "duration": -1, "usages": [ @@ -562009,7 +562009,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "$44424$", "solution": "", "duration": -1, "usages": [ @@ -562043,7 +562043,7 @@ "排列组合" ], "genre": "解答题", - "ans": "", + "ans": "(1) $2$,$4$; (2) 略", "solution": "", "duration": -1, "usages": [ @@ -607930,7 +607930,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$16\\pi$", "solution": "", "duration": -1, "usages": [ @@ -607963,7 +607963,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$(0,\\dfrac{\\pi}{2}]$", "solution": "", "duration": -1, "usages": [ @@ -607996,7 +607996,7 @@ "objs": [], "tags": [], 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=?UTF-8?q?=E6=94=B6=E5=BD=952024=E5=B1=8A=E9=BB=84?= =?UTF-8?q?=E6=B5=A6=E6=9D=A8=E6=B5=A6=E4=B8=80=E6=A8=A1=E8=AF=95=E9=A2=98?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 题库0.3/Problems.json | 840 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 840 insertions(+) diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 740af990..db1a4ecf 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -668042,6 +668042,846 @@ "space": "4em", "unrelated": [] }, + "031997": { + "id": "031997", + "content": "已知集合 $A=\\{x | x \\leq 2\\}$, $B=\\{x | x \\geq-1\\}$, 则 $A \\cap B=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题1", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "031998": { + "id": "031998", + "content": "若函数 $y=(x+1)(x-a)$ 为偶函数, 则实数 $a$ 的值为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题2", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "031999": { + "id": "031999", + "content": "已知复数 $z=1-\\mathrm{i}$($\\mathrm{i}$ 为虚数单位 $)$, 则满足 $\\overline{z}\\cdot w=z$ 的复数 $w$ 为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题3", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032000": { + "id": "032000", + "content": "若双曲线 $\\dfrac{x^2}{16}-\\dfrac{y^2}{m}=1$ 经过点 $(4 \\sqrt{2}, 3)$, 则此双曲线的离心率为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题4", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032001": { + "id": "032001", + "content": "已知向量 $\\overrightarrow{a}=(0,2)$, $\\overrightarrow{b}=(\\sqrt{3}, 1)$, 则向量 $\\overrightarrow{a}$ 与 $\\overrightarrow{b}$ 夹角的余弦值为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题5", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032002": { + "id": "032002", + "content": "若棱长为 2 的正方体的所有顶点都在同一球面上, 则该球的体积为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题6", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032003": { + "id": "032003", + "content": "某城市 30 天的空气质量指数如下: \n\\begin{center}\n\\begin{tabular}{llllllllll}\n29&26&27&29&38&29&26&26&40&51\\\\\n35&44&33&67&80&86&65&53&70&34\\\\\n36&41&31&38&63&60&56&34&44&31\n\\end{tabular}\n\\end{center}\n则这组数据的第 $75$ 百分位数为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题7", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032004": { + "id": "032004", + "content": "在 $\\triangle ABC$ 中, 三个内角 $A,B,C$ 的对边长分别为 $a, b, c$, 若 $5 a^2-5 b^2+6 b c-5 c^2=0$, 则 $\\sin 2A$ 的值为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题8", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032005": { + "id": "032005", + "content": "某校共有 400 名学生参加了趣味知识竟赛(满分; 150 分), 且每位学生的竞赛成绩均不低于 90 分. 将这 400 名学生的竞赛成绩分组如下: $[90,100)$, $[100,110)$, $[110,120)$, $[120,130)$, $[130,140)$, $[140,150]$, 得到的频率分布直方图如图所示, 则这 400 名学生中竞赛成绩不低于 120 分的人数为\\blank{50}.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, xscale = 0.1, yscale = 80]\n\\draw [->] (80,0) -- (83,0) -- (84,0.002) -- (86,-0.002) -- (87,0) -- (160,0) node [below] {分数};\n\\draw [->] (80,0) -- (80,0.045) node [left] {$\\dfrac{\\text{频率}}{\\text{组距}}$};\n\\draw (80,0) node [below left] {$O$};\n\\foreach \\i/\\j in {90/0.01,100/0.01,110/0.025,120/0.035,130/0.015,140/0.005}\n{\\draw (\\i,0) node [below] {$\\i$} --++ (0,\\j) --++ (10,0) --++ (0,-\\j);};\n\\foreach \\i/\\j/\\k in {90/0.01,110/0.025,120/0.035/a,130/0.015,140/0.005}\n{\\draw [dashed] (\\i,\\j) -- (80,\\j) node [left] {$\\k$};};\n\\draw (150,0) node [below] {$150$};\n\\end{tikzpicture}\n\\end{center}", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题9", + "edit": [ + 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], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032010": { + "id": "032010", + "content": "从 3 名男同学和 2 名女同学中任选 2 名同学参加志愿者服务, 则选出的 2 名同学中至少有 1 名女同学的概率是\\bracket{20} .\n\\fourch{$\\dfrac{7}{20}$}{$\\dfrac{7}{10}$}{$\\dfrac{3}{10}$}{$\\dfrac{3}{5}$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题14", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032011": { + "id": "032011", + "content": "若实数 $a, b$ 满足 $a^2+b^2=1+|a b|$, 则必有\\bracket{20} .\n\\fourch{$a^2+b^2 \\geq 2$}{$a^2-b^2 \\leq 1$}{$a-b \\leq 1$}{$a+b \\leq 2$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题15", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032012": { + "id": "032012", + "content": "在平面直角坐标系 $x O y$ 中, 对于定点 $P(a, b)$, 记点集 $\\{(x, y) \\| x-a|\\leq 1| y-b |, \\leq 1\\}$ 中距离原点 $O$ 最近的点为点 $Q_P$, 此最近距离为 $f(P)$. 当点 $P$ 在曲线 $x^2+y^2-8 x-4 y+16=0$ 上运动时, 关于下列结论: \\textcircled{1} 点 $Q_P$ 的轨迹是一个圆; \\textcircled{2} $f(P)$ 的取值范围是 $[\\sqrt{10}-2, \\sqrt{10}+2]$. 正确的判断是\\bracket{20} . \n\\fourch{\\textcircled{1}成立, \\textcircled{2}成立}{\\textcircled{1}成立, \\textcircled{2}不成立}{\\textcircled{1}不成立, \\textcircled{2}成立}{\\textcircled{1}不成立, \\textcircled{2}不成立}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题16", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032013": { + "id": "032013", + "content": "已知等比数列 $\\{a_n\\}$ 是严格增数列, 其第 $3$、$4$、$5$ 项的乘积为 1000 , 并且这三项分别乘以 $4$、$3$、$2$后, 所得三个数依次成等差数列.\\\\\n(1) 求数列 $\\{a_n\\}$ 的通项公式;\\\\\n(2) 若对任意的正整数 $n$, 数列 $\\{b_n\\}$ 的前 $n$ 项和 $S_n=3(1-2^n)$, 向量 $(a_n, b_n)$ 的模为 $t_n$, 求数列 $\\{t_n\\}$ 的前 $n$ 项和.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题17", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "032014": { + "id": "032014", + "content": "如图, 平面 $ABCD \\perp$ 平面 $ADEF$, 四边形 $ADEF$ 是正方形, $BC \\parallel AD$, $\\angle BAD=\\angle CDA=45^{\\circ}$, $CD=2$, $AD=4 \\sqrt{2}$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, scale = 0.5]\n\\draw (0,0,0) node [below] {$A$} coordinate (A);\n\\draw ({4*sqrt(2)},0,0) node [right] {$F$} coordinate (F);\n\\draw ({4*sqrt(2)},0,{4*sqrt(2)}) node [right] {$E$} coordinate (E);\n\\draw (0,0,{4*sqrt(2)}) node [left] {$D$} coordinate (D);\n\\draw (0,{sqrt(2)},{sqrt(2)}) node [above] {$B$} coordinate (B);\n\\draw (0,{sqrt(2)},{3*sqrt(2)}) node [left] {$C$} coordinate (C);\n\\draw [name path = BE] (B)--(E);\n\\draw (B)--(F)--(E)--(D)--(C)--cycle(A)--(D)(A)--(B);\n\\path [name path = AF] (A)--(F);\n\\draw [name intersections = {of = BE and AF, by = T}];\n\\draw (A)--(T);\n\\draw [dashed] (T)--(F);\n\\end{tikzpicture}\n\\end{center}\n(1) 证明: $CD \\perp$ 平面 $ABF$;\\\\\n(2) 求二面角 $B-EF-A$ 的正切值.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题18", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "032015": { + "id": "032015", + "content": "某公园的一个角形区域 $AOB$ 如图所示, 其中 $\\angle AOB=\\dfrac{2 \\pi}{3}$. 现拟用长度 100 米的隔离档板(折线 $DCE$)与部分围墙 (折线 $DOE$) 围成一个花卉育苗区 $ODCE$, 要求满足 $OD=OC=OE$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) node [below] {$O$} coordinate (O);\n\\draw (2,0) node [below] {$A$} coordinate (A);\n\\draw (120:2) node [left] {$B$} coordinate (B);\n\\draw (1.2,0) node [below] {$D$} coordinate (D);\n\\draw (50:1.2) node [above] {$C$} coordinate (C);\n\\draw (120:1.2) node [below left] {$E$} coordinate (E);\n\\draw (A)--(O)--(B)(E)--(C)--(D);\n\\draw [dashed] (O)--(C);\n\\end{tikzpicture}\n\\end{center}\n(1) 设 $\\angle DOC=\\dfrac{\\pi}{3}+\\alpha$($-\\dfrac{\\pi}{3}<\\alpha<\\dfrac{\\pi}{3}$), 试用 $\\alpha$ 表示 $OD$;\\\\\n(2) 为使花卉育苗区的面积最大, 应如何设计? 请说明理由.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题19", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "032016": { + "id": "032016", + "content": "设 $a$ 为实数, $\\Gamma_1$ 是以点 $O(0,0)$ 为顶点、以点 $F(0, \\dfrac{1}{4})$ 为焦点的抛物线, $\\Gamma_2$ 是以点 $A(0, a)$ 为圆心、半径为 1 的圆位于 $y$ 轴右侧且在直线 $y=a$ 下方的部分.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw [->] (-2,0) -- (2,0) node [below] {$x$};\n\\draw [->] (0,-1) -- (0,4) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = -2:2, thick] plot (\\x,{\\x*\\x});\n\\draw [thick] (1,2.5) arc (360:270:1);\n\\draw [dashed] (1,2.5) arc (0:270:1);\n\\draw (-1.5,2.25) node [below left] {$\\Gamma_1$};\n\\draw (0,2.5) ++ (-45:1) node [above left] {$\\Gamma_2$};\n\\filldraw (0,2.5) circle (0.03) node [left] {$A$};\n\\end{tikzpicture}\n\\end{center}\n(1) 求 $\\Gamma_1$ 与 $\\Gamma_2$ 的方程;\\\\\n(2) 若直线 $y=x+2$ 被 $\\Gamma_1$ 所截得的线段的中点在 $\\Gamma_2$ 上, 求 $a$ 的值;\\\\\n(3) 是否存在 $a$, 满足: $\\Gamma_2$ 在 $\\Gamma_1$ 的上方, 且 $\\Gamma_2$ 有两条不同的切线被 $\\Gamma_1$ 所截得的线段长相等? 若存在,求出 $a$ 的取值范围; 若不存在, 请说明理由.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题20", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "032017": { + "id": "032017", + "content": "设函数 $f(x)$ 与 $g(x)$ 的定义域均为 $D$, 若存在 $x_0 \\in D$, 满足 $f(x_0)=g(x_0)$ 且 $f'(x_0)=g'(x_0)$, 则称函数 $f(x)$ 与 $g(x)$``局部趋同''.\\\\\n(1) 判断函数 $f_1(x)=5 x+1$ 与 $f_2(x)=x^3+2 x$ 是否``局部趋同'', 并说明理由;\\\\\n(2) 已知函数 $g_1(x)=-x^2+a x(x>0)$, $g_2(x)=b \\mathrm{e}^x$($x>0$). 求证: 对任意的正数 $a$, 都存在正数 $b$, 使得函数 $f(x)$ 与 $g(x)$``局部趋同'';\\\\\n(3) 对于给定的实数 $m$, 若存在实数 $n$, 使得函数 $h_1(x)=m x+\\dfrac{n}{x}$($x>0$) 与 $h_2(x)=\\ln x$``局部趋同'', 求实数 $m$ 的取值范围.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届黄浦区一模试题21", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "032018": { + "id": "032018", + "content": "已知全集为 $\\mathbf{R}$, 集合 $A=$($2,+\\infty$), 则 $A$ 的补集可用区间表示为 $\\overline{A}=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题1", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032019": { + "id": "032019", + "content": "若复数 $z$ 满足 $\\mathrm{i}z=-2+\\mathrm{i}$ (其中 $\\mathrm{i}$ 为虚数单位), 则 $|z|=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题2", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032020": { + "id": "032020", + "content": "若 $\\sin \\alpha=\\dfrac{3}{5}$, 则 $\\cos 2 \\alpha=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题3", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032021": { + "id": "032021", + "content": "函数 $y=|x-3|+|5-x|$ 的最小值为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题4", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032022": { + "id": "032022", + "content": "等差数列 $\\{a_n\\}$ 中, 若 $a_1+a_2=6$, $a_2+a_3=10$, 则 $\\{a_n\\}$ 的前 10 项和为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题5", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032023": { + "id": "032023", + "content": "若椭圆 $\\dfrac{x^2}{a^2}+y^2=1$($a>1$) 长轴长为 4 , 则其离心率为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题6", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032024": { + "id": "032024", + "content": "已知向量 $\\overrightarrow{a}=(3,0)$, $\\overrightarrow{b}=(-2,2 \\sqrt{3})$, 则 $\\overrightarrow{b}$ 在 $\\overrightarrow{a}$ 方向上的投影为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题7", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032025": { + "id": "032025", + "content": "甲和乙两射手射击同一目标, 命中的概率分别为 0.7 和 0.8 , 两人各射击一次, 假设事件``甲命中''与``乙命中''是独立的, 则至少一人命中目标的概率为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题8", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032026": { + "id": "032026", + "content": "已知 $(1+x)^m+(1+x)^n=a_0+a_1 x+a_2 x^2+\\cdots+a_{m+n}x^{m+n}$ ($m$、$n$ 为正整数) 对任意实数 $x$ 都成立, 若 $a_1=12$, 则 $a_2$ 的最小值为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题9", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032027": { + "id": "032027", + "content": "函数 $f(x)=\\cos (\\omega x+\\varphi) \\, \\varphi \\in(0,2 \\pi)$ 在 $x \\in \\mathbf{R}$ 上是单调增函数, 且图像关于原点对称, 则满足条件的数对 $(\\omega, \\varphi)=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题10", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032028": { + "id": "032028", + "content": "已知抛物线 $y^2=2 p x$($p>0$) 的焦点为 $F$, 第一象限的 $A$、$B$ 两点在抛物线上, 且满足 $|BF|-|AF|=4$, $|AB|=4 \\sqrt{2}$. 若线段 $AB$ 中点的纵坐标为 4, 则抛物线的方程为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题11", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032029": { + "id": "032029", + "content": "我国古代数学著作《九章算术》中研究过一种叫``鳖臑''的几何体, 它指的是由四个直角三角形围成的四面体, 那么在一个长方体的八个顶点中任取四个, 所组成的四面体中``鳖臑''的个数是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题12", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032030": { + "id": "032030", + "content": "已知实数 $a, b$ 满足 $a>b$, 则下列不等式恒成立的是\\bracket{20}.\n\\fourch{$a^2>b^2$}{$a^3>b^3$}{$|a|>|b|$}{$a^{-1}>b^{-1}$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题13", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032031": { + "id": "032031", + "content": "在一次男子 10 米气手枪射击比赛中, 甲运动员的成绩 (单位: 环) 为 $7.5$、$7.8$、$\\cdots$、$10.9$; 乙运动员的成绩为 $8.3$、$8.4$、$\\cdots$、$10.1$, 如下茎叶图所示. 从这组数据来看, 下列说法正确的是\\bracket{20}.\n\\begin{center}\n\\begin{tabular}{ccc|c|cccc}\n\\multicolumn{3}{c|}{甲} & & \\multicolumn{4}{c}{乙}\\\\\n& 8 & 5 & 7\\\\\n9 & 7 & 7 & 8 & 3 & 4 & 6 & 7\\\\\n& 6 & 4 & 9 & 2 & 4 & 5 & 9\\\\\n9 & 4 & 3 & 10 & 1 & 1\n\\end{tabular}\n\\end{center}\n\\twoch{甲的平均成绩和乙一样, 且甲更稳定}{甲的平均成绩和乙一样, 但乙更稳定}{甲的平均成绩高于乙, 且甲更稳定}{乙的平均成绩高于甲, 且乙更稳定}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题14", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032032": { + "id": "032032", + "content": "等比数列 $\\{a_n\\}$ 的首项 $a_1=\\dfrac{1}{64}$, 公比为 $q$, 数列 $\\{b_n\\}$ 满足 $b_n=\\log _{0.5}a_n$ ($n$ 是正整数),若当且仅当 $n=4$ 时, $\\{b_n\\}$ 的前 $n$ 项和 $B_n$ 取得最大值, 则 $q$ 取值范围是\\bracket{20}.\n\\fourch{$(3,2 \\sqrt{3})$}{$(3,4)$}{$(2 \\sqrt{2}, 4)$}{$(2 \\sqrt{2}, 3 \\sqrt{2})$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题15", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "032033": { + "id": "032033", + "content": "函数 $y=f(x)$ 满足: 对于任意 $x \\in \\mathbf{R}$ 都有 $f(x)=f(a^x)$, (常数 $a>0$, $a \\neq 1$). 给出以下两个命题: \\textcircled{1} 无论 $a$ 取何值, 函数 $y=f(x)$ 不是 $(0,+\\infty)$ 上的严格增函数; \\textcircled{2} 当 $0=latex]\n\\draw (0,0,0) node [left] {$A$} coordinate (A);\n\\draw (2,0,0) node [right] {$D$} coordinate (D);\n\\draw (2,0,2) node [below] {$C$} coordinate (C);\n\\draw (0,0,2) node [below left] {$B$} coordinate (B);\n\\draw (0,2,0) node [above] {$P$} coordinate (P);\n\\draw (P)--(C)(B)--(C)--(D)--(P)--cycle;\n\\draw [dashed] (B)--(A)--(D)(B)--(D)(P)--(A)--(C);\n\\end{tikzpicture}\n\\end{center}\n(1) 求证: 平面 $PBD \\perp$ 平面 $PAC$;\\\\\n(2) 设 $AB=2$, 若四棱锥 $P-ABCD$ 的体积为 $\\dfrac{8}{3}$, 求点 $A$ 到平面 $PBD$ 的距离.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题17", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "032035": { + "id": "032035", + "content": "设函数 $f(x)=\\mathrm{e}^x$, $x \\in \\mathbf{R}$.\\\\\n(1) 求方程 $(f(x))^2=f(x)+2$ 的实数解;\\\\\n(2) 若不等式 $x+b \\leq f(x)$ 对于一切 $x \\in \\mathbf{R}$ 都成立, 求实数 $b$ 的取值范围.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题18", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "032036": { + "id": "032036", + "content": "某数学建模小组研究挡雨棚. 将它抽象为柱体 (图 1), 底面 $ABC$ 与 $A_1B_1C_1$ 全等且所在平面平行, $\\triangle ABC$ 与 $\\triangle A_1B_1C_1$ 各边表示挡雨棚支架, 支架 $AA_1$、$BB_1$、$CC_1$ 垂直于平面 $ABC$. 雨滴下落方向与外墙 (所在平面) 所成角为 $\\dfrac{\\pi}{6}$ (即 $\\angle AOB=\\dfrac{\\pi}{6}$ ), 挡雨棚有效遮挡的区域为矩形 $AA_1O_1O(O$、$O_1$ 分别在 $CA$、$C_1A_1$ 延长线上).\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0,0) node [left] {$O$} coordinate (O);\n\\draw (0,0,-2) node [below right] {$O_1$} coordinate (O_1);\n\\draw (O) ++ (0,1.5,0) node [left] {$A$} coordinate (A);\n\\draw (O) ++ (0,1.8,0) node [left] {$C$} coordinate (C);\n\\draw (O) ++ (60:1.8) node [below] {$B$} coordinate (B);\n\\draw (O_1) ++ (0,1.5,0) node [below right] {$A_1$} coordinate (A_1);\n\\draw (O_1) ++ (0,1.8,0) node [left] {$C_1$} coordinate (C_1);\n\\draw (O_1) ++ (60:1.8) node [right] {$B_1$} coordinate (B_1);\n\\draw (O)--(O_1)(O)--(C)--(B)(A)--(B)(O)--(B)(B)--(B_1)(C)--(C_1)(O_1)--(B_1);\n\\draw [dashed] (A)--(A_1)--(B_1)(B_1)--(C_1)(A_1)--(C_1);\n\\path [name path = O_1A_1] (O_1)--(A_1);\n\\path [name path = barc] (B) arc (60:90:1.8);;\n\\draw [name intersections = {of = O_1A_1 and barc, by = T}];\n\\draw (O_1)--(T);\n\\draw [dashed] (T)--(A_1);\n\\fill [gray!50, opacity = 0.5] (B) arc (60:90:1.8) -- (C_1) arc (90:60:1.8) --cycle;\n\\draw (B) arc (60:90:1.8) (B_1) arc (60:90:1.8);\n\\draw (0.5,0,0) node [below] {图 1};\n\\end{tikzpicture}\n\\hspace*{5em}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) node [left] {$O$} coordinate (O);\n\\draw (0,0.6) node [left] {$A$} coordinate (A);\n\\draw (0,1.8) node [left] {$C$} coordinate (C);\n\\draw ($(A)!0.5!(C)$) ++ (-20:0.6) node [right] {$B$} coordinate (B);\n\\draw (B) arc (-20:90:0.6) -- (O)(A)--(B)(O)--(B)--(C);\n\\draw (A) pic [draw, \"$\\theta$\", scale = 0.5, angle eccentricity = 1.5] {angle = B--A--C};\n\\draw (0.5,0,0) node [below] {图 2};\n\\end{tikzpicture}\n\\end{center}\n(1) 挡雨板 (曲面 $BB_1C_1C$) 的面积可以视为曲线段 $BC$ 与线段 $BB_1$ 长的乘积. 已知 $OA=1.5$米, $AC=0.3$ 米, $AA_1=2$ 米, 小组成员对曲线段 $BC$ 有两种假设, 分别为: \\textcircled{1} 其为直线段且 $\\angle ACB=\\dfrac{\\pi}{3}$; \\textcircled{2} 其为以 $O$ 为圆心的圆弧. 请分别计算这两种假设下挡雨板的面积 (精确到 0.1 平方米);\\\\\n(2) 小组拟自制 $\\triangle ABC$ 部分的支架用于测试 (图 2), 其中 $AC=0.6$ 米, $\\angle ABC=\\dfrac{\\pi}{2}$, $\\angle CAB=\\theta$, 其中 $\\dfrac{\\pi}{6}<\\theta<\\dfrac{\\pi}{2}$, 求有效遮挡区域高 $OA$ 的最大值.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题19", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "032037": { + "id": "032037", + "content": "已知双曲线 $\\Gamma: \\dfrac{x^2}{3}-\\dfrac{y^2}{12}=1, A(2,2)$ 是双曲线 $\\Gamma$ 上一点.\\\\\n(1) 若椭圆 $C$ 以双曲线 $\\Gamma$ 的顶点为焦点, 长轴长为 $4 \\sqrt{3}$, 求椭圆 $C$ 的标准方程;\\\\\n(2) 设 $P$ 是第一象限中双曲线 $\\Gamma$ 渐近线上一点, $Q$ 是双曲线 $\\Gamma$ 上一点, 且 $\\overrightarrow{PA}=\\overrightarrow{AQ}$, 求 $\\triangle POQ$ 的面积 $S$ ($O$ 为坐标原点);\\\\\n(3) 当直线 $l: y=-4 x+m$ (常数 $m \\in \\mathbf{R}$ ) 与双曲线 $\\Gamma$ 的左支交于 $M$、$N$ 两点时, 分别记直线 $AM$、$AN$ 的斜率为 $k_1$、$k_2$, 求证: $k_1+k_2$ 为定值.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题20", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "032038": { + "id": "032038", + "content": "设函数 $f(x)=x+A \\sin \\dfrac{\\pi x}{2}$, $x \\in \\mathbf{R}$ (其中常数 $A \\in \\mathbf{R}$, $A>0$), 无穷数列 $\\{a_n\\}$ 满足:首项 $a_1>0$, $a_{n+1}=f(a_n)$.\\\\\n(1) 判断函数 $y=f(x)$ 的奇偶性, 并说明理由;\\\\\n(2) 若数列 $\\{a_n\\}$ 是严格增数列, 求证: 当 $A<4$ 时, 数列 $\\{a_n\\}$ 不是等差数列;\\\\\n(3) 当 $A=8$ 时, 数列 $\\{a_n\\}$ 是否可能为公比小于 0 的等比数列? 若可能, 求出所有公比的值; 若不可能, 请说明理由.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届杨浦区一模试题21", + "edit": [ + "20231223\t王伟叶, 毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, "040001": { "id": "040001", "content": "参数方程$\\begin{cases}x=3 t^2+4, \\\\ y=t^2-2\\end{cases}$($0 \\leq t \\leq 3$)所表示的曲线是\\bracket{20}.\n\\fourch{一支双曲线}{线段}{圆弧}{射线}", From 967ddecd40172e2f07d24d5a5ba3e8cacfdc0ae7 Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Sat, 23 Dec 2023 10:25:42 +0800 Subject: [PATCH 07/12] =?UTF-8?q?=E5=AF=BC=E5=85=A52024=E5=B1=8A=E9=AB=98?= =?UTF-8?q?=E4=B8=89=E4=B8=80=E6=A8=A1=E6=AD=A3=E7=A1=AE=E7=8E=87=E6=95=B0?= =?UTF-8?q?=E6=8D=AE?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 题库0.3/Problems.json | 315 +++++++++++++++++++++++++++++++++++++++--- 1 file changed, 294 insertions(+), 21 deletions(-) diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index db1a4ecf..7bd7bfef 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -668471,7 +668471,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231212\t2024届高三01班\t1.000", + "20231212\t2024届高三02班\t1.000", + "20231212\t2024届高三03班\t1.000", + "20231212\t2024届高三04班\t1.000", + "20231212\t2024届高三05班\t1.000", + "20231212\t2024届高三06班\t1.000", + "20231212\t2024届高三07班\t1.000", + "20231212\t2024届高三08班\t0.957", + "20231212\t2024届高三09班\t0.958", + "20231212\t2024届高三10班\t1.000", + "20231212\t2024届高三11班\t1.000", + "20231212\t2024届高三12班\t1.000" + ], "origin": "2024届杨浦区一模试题1", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668491,7 +668504,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231212\t2024届高三01班\t1.000", + "20231212\t2024届高三02班\t1.000", + "20231212\t2024届高三03班\t0.970", + "20231212\t2024届高三04班\t1.000", + "20231212\t2024届高三05班\t0.970", + "20231212\t2024届高三06班\t1.000", + "20231212\t2024届高三07班\t1.000", + "20231212\t2024届高三08班\t1.000", + "20231212\t2024届高三09班\t1.000", + "20231212\t2024届高三10班\t1.000", + "20231212\t2024届高三11班\t1.000", + "20231212\t2024届高三12班\t0.964" + ], "origin": "2024届杨浦区一模试题2", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668511,7 +668537,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231212\t2024届高三01班\t1.000", + "20231212\t2024届高三02班\t1.000", + "20231212\t2024届高三03班\t1.000", + "20231212\t2024届高三04班\t1.000", + "20231212\t2024届高三05班\t0.970", + "20231212\t2024届高三06班\t0.976", + "20231212\t2024届高三07班\t0.955", + "20231212\t2024届高三08班\t0.913", + "20231212\t2024届高三09班\t0.917", + "20231212\t2024届高三10班\t0.889", + "20231212\t2024届高三11班\t0.935", + "20231212\t2024届高三12班\t1.000" + ], "origin": "2024届杨浦区一模试题3", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668531,7 +668570,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231212\t2024届高三01班\t0.974", + "20231212\t2024届高三02班\t1.000", + "20231212\t2024届高三03班\t0.970", + "20231212\t2024届高三04班\t1.000", + "20231212\t2024届高三05班\t0.970", + "20231212\t2024届高三06班\t1.000", + "20231212\t2024届高三07班\t0.977", + "20231212\t2024届高三08班\t1.000", + "20231212\t2024届高三09班\t0.958", + "20231212\t2024届高三10班\t1.000", + "20231212\t2024届高三11班\t1.000", + "20231212\t2024届高三12班\t1.000" + ], "origin": "2024届杨浦区一模试题4", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668551,7 +668603,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231212\t2024届高三01班\t1.000", + "20231212\t2024届高三02班\t0.975", + "20231212\t2024届高三03班\t0.939", + "20231212\t2024届高三04班\t1.000", + "20231212\t2024届高三05班\t1.000", + "20231212\t2024届高三06班\t0.951", + "20231212\t2024届高三07班\t1.000", + "20231212\t2024届高三08班\t1.000", + "20231212\t2024届高三09班\t1.000", + "20231212\t2024届高三10班\t1.000", + "20231212\t2024届高三11班\t0.968", + "20231212\t2024届高三12班\t1.000" + ], "origin": "2024届杨浦区一模试题5", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668571,7 +668636,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231212\t2024届高三01班\t0.974", + "20231212\t2024届高三02班\t0.975", + "20231212\t2024届高三03班\t0.970", + "20231212\t2024届高三04班\t0.971", + "20231212\t2024届高三05班\t1.000", + "20231212\t2024届高三06班\t0.976", + "20231212\t2024届高三07班\t0.886", + "20231212\t2024届高三08班\t0.957", + "20231212\t2024届高三09班\t0.958", + "20231212\t2024届高三10班\t0.926", + "20231212\t2024届高三11班\t0.968", + "20231212\t2024届高三12班\t0.893" + ], "origin": "2024届杨浦区一模试题6", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668591,7 +668669,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231212\t2024届高三01班\t0.923", + "20231212\t2024届高三02班\t0.825", + "20231212\t2024届高三03班\t0.758", + "20231212\t2024届高三04班\t0.824", + "20231212\t2024届高三05班\t0.788", + "20231212\t2024届高三06班\t0.707", + "20231212\t2024届高三07班\t0.795", + "20231212\t2024届高三08班\t0.696", + "20231212\t2024届高三09班\t0.833", + "20231212\t2024届高三10班\t0.778", + "20231212\t2024届高三11班\t0.742", + "20231212\t2024届高三12班\t0.821" + ], "origin": "2024届杨浦区一模试题7", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668611,7 +668702,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231212\t2024届高三01班\t1.000", + "20231212\t2024届高三02班\t0.975", + "20231212\t2024届高三03班\t1.000", + "20231212\t2024届高三04班\t0.941", + "20231212\t2024届高三05班\t1.000", + "20231212\t2024届高三06班\t0.951", + "20231212\t2024届高三07班\t1.000", + "20231212\t2024届高三08班\t0.957", + "20231212\t2024届高三09班\t0.958", + "20231212\t2024届高三10班\t0.926", + "20231212\t2024届高三11班\t1.000", + "20231212\t2024届高三12班\t1.000" + ], "origin": "2024届杨浦区一模试题8", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668631,7 +668735,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231212\t2024届高三01班\t0.872", + "20231212\t2024届高三02班\t0.825", + "20231212\t2024届高三03班\t0.758", + "20231212\t2024届高三04班\t0.912", + "20231212\t2024届高三05班\t0.848", + "20231212\t2024届高三06班\t0.854", + "20231212\t2024届高三07班\t0.841", + "20231212\t2024届高三08班\t0.696", + "20231212\t2024届高三09班\t0.708", + "20231212\t2024届高三10班\t0.963", + "20231212\t2024届高三11班\t0.903", + "20231212\t2024届高三12班\t0.893" + ], "origin": "2024届杨浦区一模试题9", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668651,7 +668768,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231212\t2024届高三01班\t0.718", + 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2024届高三06班 0.366 + +032029 +20231212 2024届高三07班 0.386 + +032029 +20231212 2024届高三08班 0.174 + +032029 +20231212 2024届高三09班 0.083 + +032029 +20231212 2024届高三10班 0.148 + +032029 +20231212 2024届高三11班 0.387 + +032029 +20231212 2024届高三12班 0.179 + +032030 +20231212 2024届高三01班 1.000 + +032030 +20231212 2024届高三02班 1.000 + +032030 +20231212 2024届高三03班 1.000 + +032030 +20231212 2024届高三04班 1.000 + +032030 +20231212 2024届高三05班 1.000 + +032030 +20231212 2024届高三06班 1.000 + +032030 +20231212 2024届高三07班 1.000 + +032030 +20231212 2024届高三08班 1.000 + +032030 +20231212 2024届高三09班 1.000 + +032030 +20231212 2024届高三10班 1.000 + +032030 +20231212 2024届高三11班 1.000 + +032030 +20231212 2024届高三12班 0.964 + +032031 +20231212 2024届高三01班 0.974 + +032031 +20231212 2024届高三02班 1.000 + +032031 +20231212 2024届高三03班 0.939 + +032031 +20231212 2024届高三04班 1.000 + +032031 +20231212 2024届高三05班 1.000 + +032031 +20231212 2024届高三06班 1.000 + +032031 +20231212 2024届高三07班 0.932 + +032031 +20231212 2024届高三08班 0.957 + +032031 +20231212 2024届高三09班 1.000 + +032031 +20231212 2024届高三10班 1.000 + +032031 +20231212 2024届高三11班 1.000 + +032031 +20231212 2024届高三12班 0.893 + +032032 +20231212 2024届高三01班 1.000 + +032032 +20231212 2024届高三02班 1.000 + +032032 +20231212 2024届高三03班 0.848 + +032032 +20231212 2024届高三04班 0.882 + +032032 +20231212 2024届高三05班 0.909 + +032032 +20231212 2024届高三06班 0.854 + +032032 +20231212 2024届高三07班 0.932 + +032032 +20231212 2024届高三08班 0.870 + +032032 +20231212 2024届高三09班 0.875 + +032032 +20231212 2024届高三10班 0.778 + +032032 +20231212 2024届高三11班 0.871 + +032032 +20231212 2024届高三12班 0.893 + +032033 +20231212 2024届高三01班 0.538 + +032033 +20231212 2024届高三02班 0.525 + +032033 +20231212 2024届高三03班 0.424 + +032033 +20231212 2024届高三04班 0.441 + +032033 +20231212 2024届高三05班 0.424 + +032033 +20231212 2024届高三06班 0.439 + +032033 +20231212 2024届高三07班 0.523 + +032033 +20231212 2024届高三08班 0.304 + +032033 +20231212 2024届高三09班 0.250 + +032033 +20231212 2024届高三10班 0.333 + +032033 +20231212 2024届高三11班 0.516 + +032033 +20231212 2024届高三12班 0.393 + +032034 +20231212 2024届高三01班 0.978 0.991 + +032034 +20231212 2024届高三02班 0.991 0.996 + +032034 +20231212 2024届高三03班 0.939 0.944 + +032034 +20231212 2024届高三04班 0.956 0.975 + +032034 +20231212 2024届高三05班 0.992 0.939 + +032034 +20231212 2024届高三06班 0.976 0.988 + +032034 +20231212 2024届高三07班 0.918 0.989 + +032034 +20231212 2024届高三08班 0.913 0.899 + +032034 +20231212 2024届高三09班 0.969 0.986 + +032034 +20231212 2024届高三10班 0.944 0.907 + +032034 +20231212 2024届高三11班 0.940 0.946 + +032034 +20231212 2024届高三12班 0.897 0.964 + +032035 +20231212 2024届高三01班 0.974 1.000 + +032035 +20231212 2024届高三02班 0.934 0.979 + +032035 +20231212 2024届高三03班 0.905 1.000 + +032035 +20231212 2024届高三04班 0.915 0.995 + +032035 +20231212 2024届高三05班 0.879 0.995 + +032035 +20231212 2024届高三06班 0.893 0.984 + +032035 +20231212 2024届高三07班 0.940 0.996 + +032035 +20231212 2024届高三08班 0.886 0.978 + +032035 +20231212 2024届高三09班 0.870 0.993 + +032035 +20231212 2024届高三10班 0.824 0.981 + +032035 +20231212 2024届高三11班 0.931 0.952 + +032035 +20231212 2024届高三12班 0.839 0.994 + +032036 +20231212 2024届高三01班 0.939 0.799 + +032036 +20231212 2024届高三02班 0.816 0.817 + +032036 +20231212 2024届高三03班 0.678 0.712 + +032036 +20231212 2024届高三04班 0.754 0.662 + +032036 +20231212 2024届高三05班 0.761 0.727 + +032036 +20231212 2024届高三06班 0.790 0.703 + +032036 +20231212 2024届高三07班 0.642 0.754 + +032036 +20231212 2024届高三08班 0.696 0.681 + +032036 +20231212 2024届高三09班 0.677 0.750 + +032036 +20231212 2024届高三10班 0.565 0.691 + +032036 +20231212 2024届高三11班 0.790 0.651 + +032036 +20231212 2024届高三12班 0.661 0.726 + +032037 +20231212 2024届高三01班 0.862 0.994 0.902 + +032037 +20231212 2024届高三02班 0.834 0.981 0.888 + +032037 +20231212 2024届高三03班 0.549 0.955 0.657 + +032037 +20231212 2024届高三04班 0.559 0.978 0.721 + +032037 +20231212 2024届高三05班 0.682 0.985 0.758 + +032037 +20231212 2024届高三06班 0.582 0.963 0.748 + +032037 +20231212 2024届高三07班 0.580 0.949 0.750 + +032037 +20231212 2024届高三08班 0.522 0.935 0.717 + +032037 +20231212 2024届高三09班 0.406 0.938 0.549 + +032037 +20231212 2024届高三10班 0.380 0.917 0.580 + +032037 +20231212 2024届高三11班 0.560 0.935 0.763 + +032037 +20231212 2024届高三12班 0.469 1.000 0.577 + +032038 +20231212 2024届高三01班 0.628 1.000 0.122 + +032038 +20231212 2024届高三02班 0.658 0.969 0.069 + +032038 +20231212 2024届高三03班 0.404 0.970 0.011 + +032038 +20231212 2024届高三04班 0.387 0.934 0.029 + +032038 +20231212 2024届高三05班 0.384 0.939 0.023 + +032038 +20231212 2024届高三06班 0.427 0.957 0.030 + +032038 +20231212 2024届高三07班 0.417 0.960 0.048 + +032038 +20231212 2024届高三08班 0.203 0.826 0.011 + +032038 +20231212 2024届高三09班 0.090 0.875 0.010 + +032038 +20231212 2024届高三10班 0.247 0.815 0.019 + +032038 +20231212 2024届高三11班 0.323 0.944 0.028 + +032038 +20231212 2024届高三12班 0.345 0.946 0.031 -020711 -20231213 2026届高一10班 0.650 FORCE -20231215 2026届高一10班 0.475 - -020711 -20231213 2026届高一11班 0.775 FORCE -20231215 2026届高一11班 0.875 - -020711 -20231213 2026届高一12班 0.854 FORCE -20231215 2026届高一12班 0.683 - -020711 -20231213 2026届高一03班 0.675 FORCE -20231215 2026届高一03班 0.732 - -020711 -20231213 2026届高一06班 0.524 FORCE -20231215 2026届高一06班 0.698 - -020711 -20231213 2026届高一09班 0.725 FORCE -20231215 2026届高一09班 0.658 - -001193 -20231212 2026届高一10班 0.925 FORCE -20231207 2026届高一10班 0.872 - -010199 -20231212 2026届高一10班 0.950 0.875 0.800 FORCE -20231206 2026届高一10班 0.975 0.975 0.800 - -000349 -20231212 2026届高一11班 0.900 FORCE -20231207 2026届高一11班 0.974 - -001193 -20231212 2026届高一11班 0.925 FORCE -20231207 2026届高一11班 0.795 - -010199 -20231212 2026届高一11班 0.925 0.950 0.875 FORCE -20231206 2026届高一11班 0.795 0.897 0.692 - -001193 -20231212 2026届高一12班 0.952 FORCE -20231207 2026届高一12班 1.000 - -010199 -20231212 2026届高一12班 1.000 0.905 0.881 FORCE -20231206 2026届高一12班 0.976 0.952 0.809 - -000349 -20231212 2026届高一01班 0.975 FORCE -20231207 2026届高一01班 1.000 - -001193 -20231212 2026届高一01班 0.900 FORCE -20231207 2026届高一01班 0.951 - -010199 -20231212 2026届高一01班 0.975 0.975 0.900 FORCE -20231206 2026届高一01班 0.923 0.821 0.538 - -000349 -20231212 2026届高一02班 1.000 FORCE -20231207 2026届高一02班 0.976 - -001193 -20231212 2026届高一02班 0.878 FORCE -20231207 2026届高一02班 0.833 - -010199 -20231212 2026届高一02班 0.927 0.805 0.610 FORCE -20231206 2026届高一02班 0.976 0.952 0.667 - -000349 -20231212 2026届高一03班 0.977 FORCE -20231207 2026届高一03班 1.000 - -001193 -20231212 2026届高一03班 0.954 FORCE -20231207 2026届高一03班 1.000 - -010199 -20231212 2026届高一03班 1.000 0.977 0.698 FORCE -20231206 2026届高一03班 0.952 0.809 0.809 - -001193 -20231212 2026届高一04班 0.805 FORCE -20231207 2026届高一04班 0.809 - -010199 -20231212 2026届高一04班 0.951 0.878 0.707 FORCE -20231206 2026届高一04班 1.000 0.884 0.674 - -000349 -20231212 2026届高一05班 1.000 FORCE -20231207 2026届高一05班 0.973 - -010199 -20231212 2026届高一05班 1.000 1.000 0.829 FORCE -20231206 2026届高一05班 0.944 0.917 0.417 - -001193 -20231212 2026届高一06班 0.833 FORCE -20231207 2026届高一06班 0.857 - -010199 -20231212 2026届高一06班 0.952 0.929 0.833 FORCE -20231206 2026届高一06班 0.951 0.951 0.732 - -000349 -20231212 2026届高一07班 0.950 FORCE -20231207 2026届高一07班 1.000 - -001193 -20231212 2026届高一07班 0.800 FORCE -20231207 2026届高一07班 0.850 - -010199 -20231212 2026届高一07班 1.000 0.900 0.800 FORCE -20231206 2026届高一07班 1.000 0.875 0.675 - -000349 -20231212 2026届高一08班 0.974 FORCE -20231207 2026届高一08班 0.950 - -001193 -20231212 2026届高一08班 0.846 FORCE -20231207 2026届高一08班 0.975 - -010199 -20231212 2026届高一08班 0.974 0.923 0.615 FORCE -20231206 2026届高一08班 0.975 0.925 0.725 - -000349 -20231212 2026届高一09班 0.972 FORCE -20231207 2026届高一09班 1.000 - -001193 -20231212 2026届高一09班 0.861 FORCE -20231207 2026届高一09班 0.974 - -010199 -20231212 2026届高一09班 0.944 0.944 0.639 FORCE -20231206 2026届高一09班 0.972 1.000 0.750 - From 6741db4e3b94dbc6bbbf833f4997391be252c040 Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Sat, 23 Dec 2023 10:45:05 +0800 Subject: [PATCH 09/12] =?UTF-8?q?=E6=A0=B9=E6=8D=AEjson=E6=96=87=E4=BB=B6?= =?UTF-8?q?=E7=94=9F=E6=88=90=E8=AE=B2=E4=B9=89=E7=9A=84=E5=8A=9F=E8=83=BD?= =?UTF-8?q?=E4=BF=AE=E6=94=B9=E4=B8=BA=E6=A0=B9=E6=8D=AE=E6=AD=A3=E5=88=99?= =?UTF-8?q?=E8=A1=A8=E8=BE=BE=E5=BC=8F,=20=E8=80=8C=E4=B8=8D=E6=98=AF?= =?UTF-8?q?=E5=8D=95=E8=AF=BE=E7=9A=84=E9=A2=98=E5=8F=B7?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 工具v2/讲义生成.py | 10 ++++++---- 1 file changed, 6 insertions(+), 4 deletions(-) diff --git a/工具v2/讲义生成.py b/工具v2/讲义生成.py index ee5c641c..3854062b 100644 --- a/工具v2/讲义生成.py +++ b/工具v2/讲义生成.py @@ -1,5 +1,5 @@ -notes_dict_path = "../备课组/公共/年级讲义模板.json" # 讲义（题，基础知识，目标）号码所在json数据库路径 -lessonid = "G20260101" # 数据库中讲义的编号([A-Z][0-9]{4}[(01)|(02)][[0-9]{2}), 字母表示类型, 四位数字表示届别, 2位数字表示学期及其他, 2位数字表示序号 +notes_dict_path = "../备课组/25届/校本材料.json" # 讲义（题，基础知识，目标）号码所在json数据库路径 +lessonpattern = r"H202503\d{2}" # 正则表达式, 数据库中讲义的编号([A-Z][0-9]{4}[(01)|(02)][[0-9]{2}), 字母表示类型, 四位数字表示届别, 2位数字表示学期及其他, 2位数字表示序号 outputdir = "临时文件" # 输出文件夹, 不建议修改 answered = False # 设置是否编译答案 consecutivenumbering = False # 设置是否用连续编号, 试卷请设为True, 普通讲义请设为False @@ -15,5 +15,7 @@ dictionaries = {} for t in (obj_dict,basicknowledge_dict,pro_dict): dictionaries.update(t) -filename = notes_dict["notes"][lessonid]["id"]+notes_dict["notes"][lessonid]["filename"]+".tex" -GenerateSingleLessonNote(id = lessonid,notesdict = notes_dict, metadict = dictionaries, templatepath = ".\模板文件\讲义模板.txt", outputfilepath = os.path.join(outputdir,filename),consecutivenumbering=consecutivenumbering,answered=answered) \ No newline at end of file +for lessonid in notes_dict["notes"]: + if re.findall(lessonpattern,lessonid) != []: + filename = notes_dict["notes"][lessonid]["id"]+notes_dict["notes"][lessonid]["filename"]+".tex" + GenerateSingleLessonNote(id = lessonid,notesdict = notes_dict, metadict = dictionaries, templatepath = ".\模板文件\讲义模板.txt", outputfilepath = os.path.join(outputdir,filename),consecutivenumbering=consecutivenumbering,answered=answered) \ No newline at end of file From c1227555ba84e9a1fdb8d620a5c29d43b54663b5 Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Sat, 23 Dec 2023 11:20:51 +0800 Subject: [PATCH 10/12] =?UTF-8?q?Revert=20"=E5=AF=BC=E5=85=A52024=E5=B1=8A?= =?UTF-8?q?=E9=AB=98=E4=B8=89=E4=B8=80=E6=A8=A1=E6=AD=A3=E7=A1=AE=E7=8E=87?= =?UTF-8?q?=E6=95=B0=E6=8D=AE"?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit This reverts commit 967ddecd40172e2f07d24d5a5ba3e8cacfdc0ae7. --- 题库0.3/Problems.json | 315 +++--------------------------------------- 1 file changed, 21 insertions(+), 294 deletions(-) diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 7bd7bfef..db1a4ecf 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -668471,20 +668471,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t1.000", - "20231212\t2024届高三02班\t1.000", - "20231212\t2024届高三03班\t1.000", - "20231212\t2024届高三04班\t1.000", - "20231212\t2024届高三05班\t1.000", - "20231212\t2024届高三06班\t1.000", - "20231212\t2024届高三07班\t1.000", - "20231212\t2024届高三08班\t0.957", - "20231212\t2024届高三09班\t0.958", - "20231212\t2024届高三10班\t1.000", - "20231212\t2024届高三11班\t1.000", - "20231212\t2024届高三12班\t1.000" - ], + "usages": [], "origin": "2024届杨浦区一模试题1", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668504,20 +668491,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t1.000", - "20231212\t2024届高三02班\t1.000", - "20231212\t2024届高三03班\t0.970", - "20231212\t2024届高三04班\t1.000", - "20231212\t2024届高三05班\t0.970", - "20231212\t2024届高三06班\t1.000", - "20231212\t2024届高三07班\t1.000", - "20231212\t2024届高三08班\t1.000", - "20231212\t2024届高三09班\t1.000", - "20231212\t2024届高三10班\t1.000", - "20231212\t2024届高三11班\t1.000", - "20231212\t2024届高三12班\t0.964" - ], + "usages": [], "origin": "2024届杨浦区一模试题2", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668537,20 +668511,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t1.000", - "20231212\t2024届高三02班\t1.000", - "20231212\t2024届高三03班\t1.000", - "20231212\t2024届高三04班\t1.000", - "20231212\t2024届高三05班\t0.970", - "20231212\t2024届高三06班\t0.976", - "20231212\t2024届高三07班\t0.955", - "20231212\t2024届高三08班\t0.913", - "20231212\t2024届高三09班\t0.917", - "20231212\t2024届高三10班\t0.889", - "20231212\t2024届高三11班\t0.935", - "20231212\t2024届高三12班\t1.000" - ], + "usages": [], "origin": "2024届杨浦区一模试题3", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668570,20 +668531,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t0.974", - "20231212\t2024届高三02班\t1.000", - "20231212\t2024届高三03班\t0.970", - "20231212\t2024届高三04班\t1.000", - "20231212\t2024届高三05班\t0.970", - "20231212\t2024届高三06班\t1.000", - "20231212\t2024届高三07班\t0.977", - "20231212\t2024届高三08班\t1.000", - "20231212\t2024届高三09班\t0.958", - "20231212\t2024届高三10班\t1.000", - "20231212\t2024届高三11班\t1.000", - "20231212\t2024届高三12班\t1.000" - ], + "usages": [], "origin": "2024届杨浦区一模试题4", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668603,20 +668551,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t1.000", - "20231212\t2024届高三02班\t0.975", - "20231212\t2024届高三03班\t0.939", - "20231212\t2024届高三04班\t1.000", - "20231212\t2024届高三05班\t1.000", - "20231212\t2024届高三06班\t0.951", - "20231212\t2024届高三07班\t1.000", - "20231212\t2024届高三08班\t1.000", - "20231212\t2024届高三09班\t1.000", - "20231212\t2024届高三10班\t1.000", - "20231212\t2024届高三11班\t0.968", - "20231212\t2024届高三12班\t1.000" - ], + "usages": [], "origin": "2024届杨浦区一模试题5", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668636,20 +668571,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t0.974", - "20231212\t2024届高三02班\t0.975", - "20231212\t2024届高三03班\t0.970", - "20231212\t2024届高三04班\t0.971", - "20231212\t2024届高三05班\t1.000", - "20231212\t2024届高三06班\t0.976", - "20231212\t2024届高三07班\t0.886", - "20231212\t2024届高三08班\t0.957", - "20231212\t2024届高三09班\t0.958", - "20231212\t2024届高三10班\t0.926", - "20231212\t2024届高三11班\t0.968", - "20231212\t2024届高三12班\t0.893" - ], + "usages": [], "origin": "2024届杨浦区一模试题6", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668669,20 +668591,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t0.923", - "20231212\t2024届高三02班\t0.825", - "20231212\t2024届高三03班\t0.758", - "20231212\t2024届高三04班\t0.824", - "20231212\t2024届高三05班\t0.788", - "20231212\t2024届高三06班\t0.707", - "20231212\t2024届高三07班\t0.795", - "20231212\t2024届高三08班\t0.696", - "20231212\t2024届高三09班\t0.833", - "20231212\t2024届高三10班\t0.778", - "20231212\t2024届高三11班\t0.742", - "20231212\t2024届高三12班\t0.821" - ], + "usages": [], "origin": "2024届杨浦区一模试题7", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668702,20 +668611,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t1.000", - "20231212\t2024届高三02班\t0.975", - "20231212\t2024届高三03班\t1.000", - "20231212\t2024届高三04班\t0.941", - "20231212\t2024届高三05班\t1.000", - "20231212\t2024届高三06班\t0.951", - "20231212\t2024届高三07班\t1.000", - "20231212\t2024届高三08班\t0.957", - "20231212\t2024届高三09班\t0.958", - "20231212\t2024届高三10班\t0.926", - "20231212\t2024届高三11班\t1.000", - "20231212\t2024届高三12班\t1.000" - ], + "usages": [], "origin": "2024届杨浦区一模试题8", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668735,20 +668631,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t0.872", - "20231212\t2024届高三02班\t0.825", - "20231212\t2024届高三03班\t0.758", - "20231212\t2024届高三04班\t0.912", - "20231212\t2024届高三05班\t0.848", - "20231212\t2024届高三06班\t0.854", - "20231212\t2024届高三07班\t0.841", - "20231212\t2024届高三08班\t0.696", - "20231212\t2024届高三09班\t0.708", - "20231212\t2024届高三10班\t0.963", - "20231212\t2024届高三11班\t0.903", - "20231212\t2024届高三12班\t0.893" - ], + "usages": [], "origin": "2024届杨浦区一模试题9", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668768,20 +668651,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t0.718", - "20231212\t2024届高三02班\t0.800", - "20231212\t2024届高三03班\t0.636", - "20231212\t2024届高三04班\t0.588", - "20231212\t2024届高三05班\t0.636", - "20231212\t2024届高三06班\t0.659", - "20231212\t2024届高三07班\t0.614", - "20231212\t2024届高三08班\t0.391", - "20231212\t2024届高三09班\t0.292", - "20231212\t2024届高三10班\t0.556", - "20231212\t2024届高三11班\t0.645", - "20231212\t2024届高三12班\t0.571" - ], + "usages": [], "origin": "2024届杨浦区一模试题10", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668801,20 +668671,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t0.949", - "20231212\t2024届高三02班\t0.925", - "20231212\t2024届高三03班\t0.697", - "20231212\t2024届高三04班\t0.853", - "20231212\t2024届高三05班\t0.697", - "20231212\t2024届高三06班\t0.854", - "20231212\t2024届高三07班\t0.705", - "20231212\t2024届高三08班\t0.739", - "20231212\t2024届高三09班\t0.625", - "20231212\t2024届高三10班\t0.630", - "20231212\t2024届高三11班\t0.710", - "20231212\t2024届高三12班\t0.857" - ], + "usages": [], "origin": "2024届杨浦区一模试题11", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668834,20 +668691,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t0.462", - "20231212\t2024届高三02班\t0.375", - "20231212\t2024届高三03班\t0.121", - "20231212\t2024届高三04班\t0.324", - "20231212\t2024届高三05班\t0.242", - "20231212\t2024届高三06班\t0.366", - "20231212\t2024届高三07班\t0.386", - "20231212\t2024届高三08班\t0.174", - "20231212\t2024届高三09班\t0.083", - "20231212\t2024届高三10班\t0.148", - "20231212\t2024届高三11班\t0.387", - "20231212\t2024届高三12班\t0.179" - ], + "usages": [], "origin": "2024届杨浦区一模试题12", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668867,20 +668711,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t1.000", - "20231212\t2024届高三02班\t1.000", - "20231212\t2024届高三03班\t1.000", - "20231212\t2024届高三04班\t1.000", - "20231212\t2024届高三05班\t1.000", - "20231212\t2024届高三06班\t1.000", - "20231212\t2024届高三07班\t1.000", - "20231212\t2024届高三08班\t1.000", - "20231212\t2024届高三09班\t1.000", - "20231212\t2024届高三10班\t1.000", - "20231212\t2024届高三11班\t1.000", - "20231212\t2024届高三12班\t0.964" - ], + "usages": [], "origin": "2024届杨浦区一模试题13", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668900,20 +668731,7 @@ "ans": 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"20231212\t2024届高三12班\t0.893" - ], + "usages": [], "origin": "2024届杨浦区一模试题15", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668966,20 +668771,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t0.538", - "20231212\t2024届高三02班\t0.525", - "20231212\t2024届高三03班\t0.424", - "20231212\t2024届高三04班\t0.441", - "20231212\t2024届高三05班\t0.424", - "20231212\t2024届高三06班\t0.439", - "20231212\t2024届高三07班\t0.523", - "20231212\t2024届高三08班\t0.304", - "20231212\t2024届高三09班\t0.250", - "20231212\t2024届高三10班\t0.333", - "20231212\t2024届高三11班\t0.516", - "20231212\t2024届高三12班\t0.393" - ], + "usages": [], "origin": "2024届杨浦区一模试题16", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668999,20 +668791,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t0.978\t0.991", - "20231212\t2024届高三02班\t0.991\t0.996", - "20231212\t2024届高三03班\t0.939\t0.944", - "20231212\t2024届高三04班\t0.956\t0.975", - "20231212\t2024届高三05班\t0.992\t0.939", - "20231212\t2024届高三06班\t0.976\t0.988", - "20231212\t2024届高三07班\t0.918\t0.989", - "20231212\t2024届高三08班\t0.913\t0.899", - "20231212\t2024届高三09班\t0.969\t0.986", - "20231212\t2024届高三10班\t0.944\t0.907", - "20231212\t2024届高三11班\t0.940\t0.946", - "20231212\t2024届高三12班\t0.897\t0.964" - ], + "usages": [], "origin": "2024届杨浦区一模试题17", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -669032,20 +668811,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t0.974\t1.000", - "20231212\t2024届高三02班\t0.934\t0.979", - "20231212\t2024届高三03班\t0.905\t1.000", - "20231212\t2024届高三04班\t0.915\t0.995", - "20231212\t2024届高三05班\t0.879\t0.995", - "20231212\t2024届高三06班\t0.893\t0.984", - "20231212\t2024届高三07班\t0.940\t0.996", - "20231212\t2024届高三08班\t0.886\t0.978", - "20231212\t2024届高三09班\t0.870\t0.993", - "20231212\t2024届高三10班\t0.824\t0.981", - "20231212\t2024届高三11班\t0.931\t0.952", - "20231212\t2024届高三12班\t0.839\t0.994" - ], + "usages": [], "origin": "2024届杨浦区一模试题18", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -669065,20 +668831,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t0.939\t0.799", - "20231212\t2024届高三02班\t0.816\t0.817", - "20231212\t2024届高三03班\t0.678\t0.712", - "20231212\t2024届高三04班\t0.754\t0.662", - "20231212\t2024届高三05班\t0.761\t0.727", - "20231212\t2024届高三06班\t0.790\t0.703", - "20231212\t2024届高三07班\t0.642\t0.754", - "20231212\t2024届高三08班\t0.696\t0.681", - "20231212\t2024届高三09班\t0.677\t0.750", - "20231212\t2024届高三10班\t0.565\t0.691", - "20231212\t2024届高三11班\t0.790\t0.651", - "20231212\t2024届高三12班\t0.661\t0.726" - ], + "usages": [], "origin": "2024届杨浦区一模试题19", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -669098,20 +668851,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t0.862\t0.994\t0.902", - "20231212\t2024届高三02班\t0.834\t0.981\t0.888", - "20231212\t2024届高三03班\t0.549\t0.955\t0.657", - "20231212\t2024届高三04班\t0.559\t0.978\t0.721", - "20231212\t2024届高三05班\t0.682\t0.985\t0.758", - "20231212\t2024届高三06班\t0.582\t0.963\t0.748", - "20231212\t2024届高三07班\t0.580\t0.949\t0.750", - "20231212\t2024届高三08班\t0.522\t0.935\t0.717", - "20231212\t2024届高三09班\t0.406\t0.938\t0.549", - "20231212\t2024届高三10班\t0.380\t0.917\t0.580", - "20231212\t2024届高三11班\t0.560\t0.935\t0.763", - "20231212\t2024届高三12班\t0.469\t1.000\t0.577" - ], + "usages": [], "origin": "2024届杨浦区一模试题20", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -669131,20 +668871,7 @@ "ans": "", "solution": "", "duration": -1, - "usages": [ - "20231212\t2024届高三01班\t0.628\t1.000\t0.122", - "20231212\t2024届高三02班\t0.658\t0.969\t0.069", - "20231212\t2024届高三03班\t0.404\t0.970\t0.011", - "20231212\t2024届高三04班\t0.387\t0.934\t0.029", - "20231212\t2024届高三05班\t0.384\t0.939\t0.023", - "20231212\t2024届高三06班\t0.427\t0.957\t0.030", - "20231212\t2024届高三07班\t0.417\t0.960\t0.048", - "20231212\t2024届高三08班\t0.203\t0.826\t0.011", - "20231212\t2024届高三09班\t0.090\t0.875\t0.010", - "20231212\t2024届高三10班\t0.247\t0.815\t0.019", - "20231212\t2024届高三11班\t0.323\t0.944\t0.028", - "20231212\t2024届高三12班\t0.345\t0.946\t0.031" - ], + "usages": [], "origin": "2024届杨浦区一模试题21", "edit": [ "20231223\t王伟叶, 毛培菁" From 1b5f28637d5fbe6f3ea779ec3510b4048233b2d0 Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Sat, 23 Dec 2023 11:26:50 +0800 Subject: [PATCH 11/12] =?UTF-8?q?=E9=87=8D=E6=96=B0=E5=AF=BC=E5=85=A52024?= =?UTF-8?q?=E5=B1=8A=E9=AB=98=E4=B8=89=E4=B8=80=E6=A8=A1=E7=AD=94=E9=A2=98?= =?UTF-8?q?=E6=AD=A3=E7=A1=AE=E7=8E=87=EF=BC=88=E4=BF=AE=E6=94=B9=E4=B9=8B?= =?UTF-8?q?=E5=89=8D=E7=9A=84=E9=94=99=E8=AF=AF=EF=BC=89?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 题库0.3/Problems.json | 315 +++++++++++++++++++++++++++++++++++++++--- 1 file changed, 294 insertions(+), 21 deletions(-) diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index db1a4ecf..c8a9cc76 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -668471,7 +668471,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231212\t2024届高三01班\t1.000", + "20231212\t2024届高三02班\t1.000", + "20231212\t2024届高三03班\t1.000", + "20231212\t2024届高三04班\t1.000", + "20231212\t2024届高三05班\t1.000", + "20231212\t2024届高三06班\t1.000", + "20231212\t2024届高三07班\t1.000", + "20231212\t2024届高三08班\t0.957", + "20231212\t2024届高三09班\t0.958", + "20231212\t2024届高三10班\t1.000", + "20231212\t2024届高三11班\t1.000", + "20231212\t2024届高三12班\t1.000" + ], "origin": "2024届杨浦区一模试题1", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668491,7 +668504,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231212\t2024届高三01班\t1.000", + "20231212\t2024届高三02班\t1.000", + "20231212\t2024届高三03班\t0.970", + "20231212\t2024届高三04班\t1.000", + "20231212\t2024届高三05班\t0.970", + "20231212\t2024届高三06班\t1.000", + "20231212\t2024届高三07班\t1.000", + "20231212\t2024届高三08班\t1.000", + "20231212\t2024届高三09班\t1.000", + "20231212\t2024届高三10班\t1.000", + "20231212\t2024届高三11班\t1.000", + "20231212\t2024届高三12班\t0.964" + ], "origin": "2024届杨浦区一模试题2", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668511,7 +668537,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231212\t2024届高三01班\t1.000", + "20231212\t2024届高三02班\t1.000", + "20231212\t2024届高三03班\t1.000", + "20231212\t2024届高三04班\t1.000", + "20231212\t2024届高三05班\t0.970", + "20231212\t2024届高三06班\t0.976", + "20231212\t2024届高三07班\t0.955", + "20231212\t2024届高三08班\t0.913", + "20231212\t2024届高三09班\t0.917", + "20231212\t2024届高三10班\t0.889", + "20231212\t2024届高三11班\t0.935", + "20231212\t2024届高三12班\t1.000" + ], "origin": "2024届杨浦区一模试题3", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668531,7 +668570,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231212\t2024届高三01班\t0.974", + "20231212\t2024届高三02班\t1.000", + "20231212\t2024届高三03班\t0.970", + "20231212\t2024届高三04班\t1.000", + "20231212\t2024届高三05班\t0.970", + "20231212\t2024届高三06班\t1.000", + "20231212\t2024届高三07班\t0.977", + "20231212\t2024届高三08班\t1.000", + "20231212\t2024届高三09班\t0.958", + "20231212\t2024届高三10班\t1.000", + "20231212\t2024届高三11班\t1.000", + "20231212\t2024届高三12班\t1.000" + ], "origin": "2024届杨浦区一模试题4", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668551,7 +668603,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231212\t2024届高三01班\t1.000", + "20231212\t2024届高三02班\t0.975", + "20231212\t2024届高三03班\t0.939", + "20231212\t2024届高三04班\t1.000", + "20231212\t2024届高三05班\t1.000", + "20231212\t2024届高三06班\t0.951", + "20231212\t2024届高三07班\t1.000", + "20231212\t2024届高三08班\t1.000", + "20231212\t2024届高三09班\t1.000", + "20231212\t2024届高三10班\t1.000", + "20231212\t2024届高三11班\t0.968", + "20231212\t2024届高三12班\t1.000" + ], "origin": "2024届杨浦区一模试题5", "edit": [ "20231223\t王伟叶, 毛培菁" @@ -668571,7 +668636,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20231212\t2024届高三01班\t0.974", + "20231212\t2024届高三02班\t0.975", + "20231212\t2024届高三03班\t0.970", + "20231212\t2024届高三04班\t0.971", + "20231212\t2024届高三05班\t1.000", + 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"20231212\t2024届高三06班\t0.957\t0.427\t0.030", + "20231212\t2024届高三07班\t0.960\t0.417\t0.048", + "20231212\t2024届高三08班\t0.826\t0.203\t0.011", + "20231212\t2024届高三09班\t0.875\t0.090\t0.010", + "20231212\t2024届高三10班\t0.815\t0.247\t0.019", + "20231212\t2024届高三11班\t0.944\t0.323\t0.028", + "20231212\t2024届高三12班\t0.946\t0.345\t0.031" + ], "origin": "2024届杨浦区一模试题21", "edit": [ "20231223\t王伟叶, 毛培菁" From 9fab033f3db2fde82057d88075c1fafda950da61 Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Sun, 24 Dec 2023 14:59:36 +0800 Subject: [PATCH 12/12] =?UTF-8?q?=E4=BF=AE=E6=94=B912286=E9=A2=98=E9=9D=A2?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 题库0.3/Problems.json | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index c8a9cc76..d68ca6c3 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -340705,7 +340705,7 @@ }, "012286": { "id": "012286", - "content": "已知函数$f(x)$的定义域为$\\mathbf{R}$, 现有两种对$f(x)$变换的操作:\n$\\varphi$变换: 得到$f(x)-f(x-t)$; $\\omega$变换: 得到$|f(x+t)-f(x)|$, 其中$t$为大于$0$的常数.\\\\\n(1) 设$f(x)=2^x$, $t=1$, $g(x)$为$f(x)$作$\\varphi$变换后的结果, 解方程: $g(x)=2$;\\\\\n(2) 设$f(x)=x^2$, $h(x)$为$f(x)$作$\\omega$变换后的结果, 解不等式: $f(x) \\ge h(x)$;\\\\\n(3) 设$f(x)$在$(-\\infty, 0)$上是严格增函数, $f(x)$先作$\\varphi$变换后得到$u(x)$, $u(x)$再作$\\omega$变换后得到$h_1(x)$; $f(x)$先作$\\omega$变换后得到$v(x)$, $v(x)$再作$\\varphi$变换后得到$h_2(x)$. 若$h_1(x)=h_2(x)$恒成立, 证明: 函数$f(x)$在$\\mathbf{R}$上是严格增函数.", + "content": "已知函数$f(x)$的定义域为$\\mathbf{R}$, 现有两种对$f(x)$变换的操作:\n$\\varphi$变换: 得到$f(x)-f(x-t)$; $\\omega$变换: 得到$|f(x+t)-f(x)|$, 其中$t$为大于$0$的实数, $t$与$x$无关.\\\\\n(1) 设$f(x)=2^x$, $t=1$, $g(x)$为$f(x)$作$\\varphi$变换后的结果, 解方程: $g(x)=2$;\\\\\n(2) 设$f(x)=x^2$, $h(x)$为$f(x)$作$\\omega$变换后的结果, 解不等式: $f(x) \\ge h(x)$;\\\\\n(3) 设$f(x)$在$(-\\infty, 0)$上是严格增函数, $f(x)$先作$\\varphi$变换后得到$u(x)$, $u(x)$再作$\\omega$变换后得到$h_1(x)$; $f(x)$先作$\\omega$变换后得到$v(x)$, $v(x)$再作$\\varphi$变换后得到$h_2(x)$. 若对任意$t>0$, $h_1(x)=h_2(x)$都恒成立, 证明: 函数$f(x)$在$\\mathbf{R}$上是严格增函数.", "objs": [], "tags": [ "第二单元" @@ -340717,7 +340717,8 @@ "usages": [], "origin": "2022届春季高考试题21", "edit": [ - "20221209\t王伟叶" + "20221209\t王伟叶", + "20231224\t毛培菁" ], "same": [], "related": [],