From c233f00cab6399f97ae5e7cd17caa3b3dc643631 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Tue, 2 Apr 2024 17:48:19 +0800 Subject: [PATCH] =?UTF-8?q?=E5=BD=95=E5=85=A5=E4=BD=BF=E7=94=A8=E6=95=B0?= =?UTF-8?q?=E6=8D=AE=E6=88=AA=E8=87=B3202404021740stage1?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 工具v2/文本文件/metadata.txt | 4284 ++++++++++++++++++++++++++- 工具v2/文本文件/pendingmetadata.txt | 48 + 题库0.3/Problems.json | 812 ++++- 3 files changed, 5036 insertions(+), 108 deletions(-) diff --git a/工具v2/文本文件/metadata.txt b/工具v2/文本文件/metadata.txt index 73a55f46..df0c3a90 100644 --- a/工具v2/文本文件/metadata.txt +++ b/工具v2/文本文件/metadata.txt @@ -1,12 +1,4278 @@ -ans - -23823 -$[-\dfrac{\pi}{12}+k\pi,\dfrac{5\pi}{12}+k\pi]$, $k\in \mathbf{Z}$ +usages -24751 -$[0,\dfrac{\pi}{8}]$和$[\dfrac{5\pi}{8},\pi]$ +021348 +20240402 2025届高二10班 0.344 + + +021349 +20240402 2025届高二10班 0.406 + + +021351 +20240402 2025届高二10班 0.875 + + +041028 +20240402 2025届高二10班 0.969 0.594 + + +021352 +20240402 2025届高二10班 0.938 + + +021353 +20240402 2025届高二10班 0.938 + + +041029 +20240402 2025届高二10班 0.688 + + +021354 +20240402 2025届高二10班 1.000 0.984 + + +021355 +20240402 2025届高二10班 0.797 + + +021348 +20240402 2025届高二11班 0.321 + + +021349 +20240402 2025届高二11班 0.429 + + +021351 +20240402 2025届高二11班 0.393 + + +041028 +20240402 2025届高二11班 1.000 0.321 + + +021352 +20240402 2025届高二11班 0.857 + + +021353 +20240402 2025届高二11班 0.750 + + +041029 +20240402 2025届高二11班 0.929 + + +021354 +20240402 2025届高二11班 0.982 1.000 + + +021355 +20240402 2025届高二11班 0.589 + + +021348 +20240402 2025届高二03班 0.488 + + +021349 +20240402 2025届高二03班 0.634 + + +021351 +20240402 2025届高二03班 0.805 + + +041028 +20240402 2025届高二03班 0.927 0.512 + + +021352 +20240402 2025届高二03班 0.951 + + +021353 +20240402 2025届高二03班 0.976 + + +041029 +20240402 2025届高二03班 0.866 + + +021354 +20240402 2025届高二03班 0.988 0.951 + + +021355 +20240402 2025届高二03班 0.878 + + +021348 +20240402 2025届高二04班 0.417 + + +021349 +20240402 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0.920 + + +031048 +20240401 2024届高二07班 0.943 0.943 0.670 + + +019475 +20240401 2024届高二07班 0.466 + + +032183 +20240401 2024届高二07班 0.818 + + +031087 +20240401 2024届高二07班 0.966 0.341 + + +014825 +20240401 2024届高二07班 0.955 0.761 0.500 + + +030615 +20240401 2024届高二09班 0.706 + + +030966 +20240401 2024届高二09班 0.882 + + +030760 +20240401 2024届高二09班 0.824 + + +014809 +20240401 2024届高二09班 0.882 + + +024333 +20240401 2024届高二09班 0.588 + + +032180 +20240401 2024届高二09班 0.912 + + +014811 +20240401 2024届高二09班 0.412 + + +024334 +20240401 2024届高二09班 0.971 + + +031000 +20240401 2024届高二09班 0.529 + + +014812 +20240401 2024届高二09班 0.647 + + +032181 +20240401 2024届高二09班 0.882 + + +014815 +20240401 2024届高二09班 0.382 + + +030674 +20240401 2024届高二09班 0.941 + + +030516 +20240401 2024届高二09班 0.794 + + +032182 +20240401 2024届高二09班 0.176 + + +030785 +20240401 2024届高二09班 0.912 0.603 + + +031048 +20240401 2024届高二09班 1.000 0.912 0.779 + + +019475 +20240401 2024届高二09班 0.603 + + +032183 +20240401 2024届高二09班 0.676 + + +031087 +20240401 2024届高二09班 0.868 0.324 + + +014825 +20240401 2024届高二09班 0.941 0.706 0.471 -24752 -(1) 当$k\in (-\infty,-1)\cup (\sqrt{2},+\infty)$时, 无解; 当$k\in [-1,1)\cup \{\sqrt{2}\}$时, 一解; 当$k\in [1,\sqrt{2})$时, 两解;\\ -(2) 当$k\in (-\infty,-1)\cup (\dfrac{5}{4},+\infty)$时, 无解; 当$k=\dfrac{5}{4}$时, 两解; 当$k=1$时, 三解; 当$k\in (1,\dfrac{5}{4})$时, 四解 \ No newline at end of file diff --git a/工具v2/文本文件/pendingmetadata.txt b/工具v2/文本文件/pendingmetadata.txt index 2faa8048..c8216676 100644 --- a/工具v2/文本文件/pendingmetadata.txt +++ b/工具v2/文本文件/pendingmetadata.txt @@ -1,2 +1,50 @@ usages +014586 +20240402 2024届高三11班 1.000 FORCE +20240110 2024届高三11班 0.967 + +014587 +20240402 2024届高三11班 0.481 FORCE +20231206 2024届高三11班 0.233 + +014587 +20240402 2024届高三12班 0.500 FORCE +20231206 2024届高三12班 0.333 + +014586 +20240402 2024届高三04班 1.000 FORCE +20240110 2024届高三04班 0.833 + +014587 +20240402 2024届高三04班 0.379 FORCE +20231206 2024届高三04班 0.516 + +014586 +20240402 2024届高三05班 1.000 FORCE +20240110 2024届高三05班 0.935 + +014587 +20240402 2024届高三05班 0.483 FORCE +20231206 2024届高三05班 0.333 + +014586 +20240402 2024届高三06班 0.968 FORCE +20240110 2024届高三06班 0.900 + +014587 +20240402 2024届高三06班 0.677 FORCE +20231206 2024届高三06班 0.464 + +014586 +20240402 2024届高三07班 0.944 FORCE +20240110 2024届高三07班 1.000 + +014587 +20240402 2024届高三07班 0.500 FORCE +20231206 2024届高三07班 0.488 + +014587 +20240402 2024届高三08班 0.750 FORCE +20231206 2024届高三08班 0.143 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 332bded3..7bf2feac 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -294318,7 +294318,16 @@ "ans": "(1) \\begin{tikzpicture}[>=latex, scale = 0.6]\n\\draw [->] (-0.5,0) -- (7,0) node [below] {$x$};\n\\draw [->] (0,-3.5) -- (0,1.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = 0:2*pi, samples = 100] plot (\\x,{cos(\\x/pi*180)*2-1});\n\\draw [dashed] (2*pi,1) -- (0,1) node [left] {$1$};\n\\draw [dashed] (2*pi,1) -- (2*pi,0) node [below] {$2\\pi$};\n\\draw [dashed] (pi,0) node [above] {$\\pi$} -- (pi,-3) -- (0,-3) node [left] {$-3$};\n\\end{tikzpicture}\\\\\n(2) \\begin{tikzpicture}[>=latex]\n\\draw [->] (-7,0) -- (7,0) node [below] {$x$};\n\\draw [->] (0,-0.5) -- (0,1.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = -pi/2:pi/2, samples = 100] plot (\\x,{cos(\\x/pi*180)});\n\\draw [domain = pi/2:3*pi/2, samples = 100] plot (\\x,{-cos(\\x/pi*180)});\n\\draw [domain = 3*pi/2:7, samples = 100] plot (\\x,{cos(\\x/pi*180)});\n\\draw [domain = -3*pi/2:-pi/2, samples = 100] plot (\\x,{-cos(\\x/pi*180)});\n\\draw [domain = -7:-3*pi/2, samples = 100] plot (\\x,{cos(\\x/pi*180)});\n\\draw (pi/2,0) node [below] {$\\frac{\\pi}{2}$};\n\\draw (0,1) node [above left] {$1$};\n\\end{tikzpicture}", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20240402\t2026届高一10班\t0.886\t0.971", + "20240402\t2026届高一11班\t0.838\t0.973", + "20240402\t2026届高一12班\t0.878\t1.000", + "20240402\t2026届高一03班\t0.952\t0.952", + "20240402\t2026届高一06班\t0.854\t0.878", + "20240402\t2026届高一07班\t0.737\t0.974", + "20240402\t2026届高一08班\t0.846\t0.872", + "20240402\t2026届高一09班\t0.902\t0.902" + ], "origin": "新教材必修第二册习题", "edit": [ "20220806\t王伟叶" @@ -294364,7 +294373,16 @@ "ans": "(1) 最大值为$3$, 取得最大值时$x$的集合为$\\{x|x=k\\pi, \\ k\\in \\mathbf{Z}\\}$; 最小值为$\\dfrac{1}{3}$, 取得最小值时$x$的集合为$\\{x|x=\\dfrac{\\pi}{2}+k\\pi, \\ k\\in \\mathbf{Z}\\}$;\\\\\n(2) 最大值为$1$, 取得最大值时$x$的集合为$\\{x|x=2k\\pi, \\ k\\in \\mathbf{Z}\\}$; 最小值为$-\\dfrac{5}{4}$, 取最小值时$x$的集合为$\\{x|x=\\dfrac{2\\pi}{3}+2k\\pi\\text{ 或 }\\dfrac{4\\pi}{3}+2k\\pi, \\ k\\in \\mathbf{Z}\\}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20240402\t2026届高一10班\t0.714\t0.400", + "20240402\t2026届高一11班\t0.784\t0.676", + "20240402\t2026届高一12班\t0.756\t0.488", + "20240402\t2026届高一03班\t0.571\t0.310", + "20240402\t2026届高一06班\t0.780\t0.488", + "20240402\t2026届高一07班\t0.684\t0.395", + "20240402\t2026届高一08班\t0.538\t0.462", + "20240402\t2026届高一09班\t0.707\t0.439" + ], "origin": "新教材必修第二册习题", "edit": [ "20220806\t王伟叶", @@ -379232,7 +379250,8 @@ "20230331\t2023届高三10班\t1.000", "20230331\t2023届高三11班\t1.000", "20230331\t2023届高三12班\t1.000", - "20240320\t2024届高三02班\t0.917" + "20240320\t2024届高三02班\t0.917", + "20240326\t2024届高三03班\t0.870" ], "origin": "2022届高三第二轮复习讲义", "edit": [ @@ -379338,7 +379357,14 @@ "20230324\t2023届高三10班\t0.714", "20230324\t2023届高三11班\t0.870", "20230324\t2023届高三12班\t0.909", - "20240322\t2024届高三01班\t0.844" + "20240322\t2024届高三01班\t0.844", + "20240402\t2024届高三11班\t0.704", + "20240402\t2024届高三12班\t0.458", + "20240402\t2024届高三04班\t0.724", + "20240402\t2024届高三05班\t0.552", + "20240402\t2024届高三06班\t0.613", + "20240402\t2024届高三07班\t0.917", + "20240402\t2024届高三08班\t0.625" ], "origin": "2022届高三第二轮复习讲义", "edit": [ @@ -379459,7 +379485,14 @@ "20230324\t2023届高三10班\t0.771", "20230324\t2023届高三11班\t0.652", "20230324\t2023届高三12班\t0.909", - "20240322\t2024届高三01班\t0.938" + "20240322\t2024届高三01班\t0.938", + "20240402\t2024届高三11班\t0.889", + "20240402\t2024届高三12班\t1.000", + "20240402\t2024届高三04班\t0.931", + "20240402\t2024届高三05班\t0.862", + "20240402\t2024届高三06班\t0.903", + "20240402\t2024届高三07班\t0.889", + "20240402\t2024届高三08班\t0.938" ], "origin": "2022届高三第二轮复习讲义", "edit": [ @@ -379617,7 +379650,14 @@ "20230517\t2023届高三10班\t0.973", "20230517\t2023届高三11班\t1.000", "20230517\t2023届高三12班\t0.958", - "20240322\t2024届高三01班\t1.000" + "20240322\t2024届高三01班\t1.000", + "20240402\t2024届高三11班\t1.000", + "20240402\t2024届高三12班\t1.000", + "20240402\t2024届高三04班\t1.000", + "20240402\t2024届高三05班\t0.966", + "20240402\t2024届高三06班\t0.935", + "20240402\t2024届高三07班\t1.000", + "20240402\t2024届高三08班\t1.000" ], "origin": "2022届高三第二轮复习讲义", "edit": [ @@ -379753,7 +379793,14 @@ "20230329\t2023届高三09班\t0.733", "20230329\t2023届高三11班\t0.857", "20230329\t2023届高三12班\t0.955", - "20240319\t2024届高三02班\t0.833" + "20240319\t2024届高三02班\t0.833", + "20240402\t2024届高三11班\t0.778", + "20240402\t2024届高三12班\t0.913", + "20240402\t2024届高三04班\t0.889", + "20240402\t2024届高三05班\t0.750", + "20240402\t2024届高三06班\t0.909", + "20240402\t2024届高三07班\t0.811", + "20240402\t2024届高三08班\t0.941" ], "origin": "2022届高三第二轮复习讲义", "edit": [ @@ -379788,7 +379835,8 @@ "20230331\t2023届高三10班\t1.000", "20230331\t2023届高三11班\t0.800", "20230331\t2023届高三12班\t0.842", - "20240320\t2024届高三02班\t0.861" + "20240320\t2024届高三02班\t0.861", + "20240326\t2024届高三03班\t0.826" ], "origin": "2022届高三第二轮复习讲义", "edit": [ @@ -379867,7 +379915,8 @@ "20230331\t2023届高三10班\t0.000", "20230331\t2023届高三11班\t0.350", "20230331\t2023届高三12班\t0.105", - "20240320\t2024届高三02班\t0.417" + "20240320\t2024届高三02班\t0.417", + "20240326\t2024届高三03班\t1.000" ], "origin": "2022届高三第二轮复习讲义", "edit": [ @@ -402019,7 +402068,14 @@ "20230324\t2023届高三10班\t0.971\t0.943\t0.771", "20230324\t2023届高三11班\t0.870\t0.826\t0.609", "20230324\t2023届高三12班\t0.955\t0.955\t0.864", - "20240322\t2024届高三01班\t0.938\t0.906\t0.906" + "20240322\t2024届高三01班\t0.938\t0.906\t0.906", + "20240402\t2024届高三11班\t0.926\t0.815\t0.778", + "20240402\t2024届高三12班\t0.958\t0.667\t0.500", + "20240402\t2024届高三04班\t0.828\t0.897\t0.621", + "20240402\t2024届高三05班\t1.000\t0.897\t0.793", + "20240402\t2024届高三06班\t0.903\t0.903\t0.710", + "20240402\t2024届高三07班\t0.861\t0.889\t0.750", + "20240402\t2024届高三08班\t1.000\t1.000\t0.938" ], "origin": "2020年空中课堂高三复习课29", "edit": [ @@ -402056,7 +402112,14 @@ "20230324\t2023届高三10班\t0.857\t0.914\t0.743", "20230324\t2023届高三11班\t0.826\t0.957\t0.652", "20230324\t2023届高三12班\t0.864\t0.909\t0.909", - "20240322\t2024届高三01班\t0.859\t0.844\t0.984" + "20240322\t2024届高三01班\t0.859\t0.844\t0.984", + "20240402\t2024届高三11班\t0.852\t0.963\t0.704", + "20240402\t2024届高三12班\t0.792\t0.958\t0.625", + "20240402\t2024届高三04班\t0.828\t0.966\t0.621", + "20240402\t2024届高三05班\t0.862\t0.931\t0.603", + "20240402\t2024届高三06班\t0.887\t0.887\t0.839", + "20240402\t2024届高三07班\t0.750\t0.889\t0.611", + "20240402\t2024届高三08班\t0.875\t0.938\t0.625" ], "origin": "2020年空中课堂高三复习课29", "edit": [ @@ -402221,7 +402284,14 @@ "20230324\t2023届高三10班\t0.714", "20230324\t2023届高三11班\t0.565", "20230324\t2023届高三12班\t0.909", - "20240322\t2024届高三01班\t0.875" + "20240322\t2024届高三01班\t0.875", + "20240402\t2024届高三11班\t0.926", + "20240402\t2024届高三12班\t0.750", + "20240402\t2024届高三04班\t0.724", + "20240402\t2024届高三05班\t0.966", + "20240402\t2024届高三06班\t0.935", + "20240402\t2024届高三07班\t0.833", + "20240402\t2024届高三08班\t0.688" ], "origin": "2020年空中课堂高三复习课29", "edit": [ @@ -402371,7 +402441,14 @@ "20230329\t2023届高三09班\t0.933", "20230329\t2023届高三11班\t0.905", "20230329\t2023届高三12班\t0.864", - "20240319\t2024届高三02班\t0.917" + "20240319\t2024届高三02班\t0.917", + "20240402\t2024届高三11班\t0.852", + "20240402\t2024届高三12班\t0.957", + "20240402\t2024届高三04班\t0.704", + "20240402\t2024届高三05班\t0.714", + "20240402\t2024届高三06班\t0.758", + "20240402\t2024届高三07班\t0.838", + "20240402\t2024届高三08班\t0.941" ], "origin": "2020年空中课堂高三复习课30", "edit": [ @@ -402529,7 +402606,8 @@ "20230331\t2023届高三10班\t1.000\t1.000\t1.000", "20230331\t2023届高三11班\t0.950\t0.750\t0.850", "20230331\t2023届高三12班\t1.000\t0.789\t0.895", - "20240320\t2024届高三02班\t1.000\t0.972\t0.889" + "20240320\t2024届高三02班\t1.000\t0.972\t0.889", + "20240326\t2024届高三03班\t0.957\t0.870\t0.913" ], "origin": "2020年空中课堂高三复习课30", "edit": [ @@ -402565,7 +402643,14 @@ "20230329\t2023届高三09班\t0.700", "20230329\t2023届高三11班\t0.809", "20230329\t2023届高三12班\t0.727", - "20240319\t2024届高三02班\t0.806" + "20240319\t2024届高三02班\t0.806", + "20240402\t2024届高三11班\t0.741", + "20240402\t2024届高三12班\t0.826", + "20240402\t2024届高三04班\t0.704", + "20240402\t2024届高三05班\t0.679", + "20240402\t2024届高三06班\t0.636", + "20240402\t2024届高三07班\t0.838", + "20240402\t2024届高三08班\t0.941" ], "origin": "2020年空中课堂高三复习课30", "edit": [ @@ -402656,7 +402741,8 @@ "20230331\t2023届高三10班\t1.000", "20230331\t2023届高三11班\t1.000", "20230331\t2023届高三12班\t1.000", - "20240320\t2024届高三02班\t0.972" + "20240320\t2024届高三02班\t0.972", + "20240326\t2024届高三03班\t1.000" ], "origin": "2020年空中课堂高三复习课30", "edit": [ @@ -417074,7 +417160,14 @@ "20230324\t2023届高三10班\t1.000\t0.829", "20230324\t2023届高三11班\t0.957\t0.913", "20230324\t2023届高三12班\t0.818\t0.864", - "20240322\t2024届高三01班\t1.000\t0.750" + "20240322\t2024届高三01班\t1.000\t0.750", + "20240402\t2024届高三11班\t1.000\t0.963", + "20240402\t2024届高三12班\t1.000\t1.000", + "20240402\t2024届高三04班\t0.931\t0.897", + "20240402\t2024届高三05班\t0.931\t0.828", + "20240402\t2024届高三06班\t1.000\t0.968", + "20240402\t2024届高三07班\t0.972\t0.889", + "20240402\t2024届高三08班\t1.000\t1.000" ], "origin": "2023年空中课堂高三复习课25", "edit": [ @@ -417111,7 +417204,14 @@ "20230324\t2023届高三10班\t0.600\t0.743", "20230324\t2023届高三11班\t0.609\t0.609", "20230324\t2023届高三12班\t0.636\t0.727", - "20240322\t2024届高三01班\t0.844\t0.969" + "20240322\t2024届高三01班\t0.844\t0.969", + "20240402\t2024届高三11班\t0.852\t0.741", + "20240402\t2024届高三12班\t0.833\t0.750", + "20240402\t2024届高三04班\t0.793\t0.828", + "20240402\t2024届高三05班\t0.759\t0.655", + "20240402\t2024届高三06班\t0.839\t0.645", + "20240402\t2024届高三07班\t0.917\t0.806", + "20240402\t2024届高三08班\t0.938\t0.875" ], "origin": "2023年空中课堂高三复习课25", "edit": [ @@ -417295,7 +417395,14 @@ "20230329\t2023届高三09班\t0.967", "20230329\t2023届高三11班\t0.905", "20230329\t2023届高三12班\t0.955", - "20240319\t2024届高三02班\t1.000" + "20240319\t2024届高三02班\t1.000", + "20240402\t2024届高三11班\t0.926", + "20240402\t2024届高三12班\t0.957", + "20240402\t2024届高三04班\t1.000", + "20240402\t2024届高三05班\t0.964", + "20240402\t2024届高三06班\t1.000", + "20240402\t2024届高三07班\t1.000", + "20240402\t2024届高三08班\t1.000" ], "origin": "2023年空中课堂高三复习课25", "edit": [ @@ -417334,7 +417441,14 @@ "20230324\t2023届高三10班\t0.771", "20230324\t2023届高三11班\t0.957", "20230324\t2023届高三12班\t1.000", - "20240322\t2024届高三01班\t1.000" + "20240322\t2024届高三01班\t1.000", + "20240402\t2024届高三11班\t0.889", + "20240402\t2024届高三12班\t0.958", + "20240402\t2024届高三04班\t0.862", + "20240402\t2024届高三05班\t0.966", + "20240402\t2024届高三06班\t0.871", + "20240402\t2024届高三07班\t0.944", + "20240402\t2024届高三08班\t0.875" ], "origin": "2023年空中课堂高三复习课25", "edit": [ @@ -417371,7 +417485,14 @@ "20230324\t2023届高三10班\t0.914", "20230324\t2023届高三11班\t0.870", "20230324\t2023届高三12班\t0.909", - "20240322\t2024届高三01班\t0.812" + "20240322\t2024届高三01班\t0.812", + "20240402\t2024届高三11班\t0.815", + "20240402\t2024届高三12班\t0.958", + "20240402\t2024届高三04班\t0.828", + "20240402\t2024届高三05班\t0.828", + "20240402\t2024届高三06班\t0.774", + "20240402\t2024届高三07班\t0.861", + "20240402\t2024届高三08班\t0.812" ], "origin": "2023年空中课堂高三复习课25", "edit": [ @@ -417450,7 +417571,14 @@ "20230324\t2023届高三10班\t0.914", "20230324\t2023届高三11班\t0.826", "20230324\t2023届高三12班\t0.955", - "20240322\t2024届高三01班\t0.938" + "20240322\t2024届高三01班\t0.938", + "20240402\t2024届高三11班\t0.889", + "20240402\t2024届高三12班\t0.917", + "20240402\t2024届高三04班\t0.966", + "20240402\t2024届高三05班\t0.862", + "20240402\t2024届高三06班\t0.774", + "20240402\t2024届高三07班\t0.917", + "20240402\t2024届高三08班\t1.000" ], "origin": "2023年空中课堂高三复习课25", "edit": [ @@ -417563,7 +417691,9 @@ "20240110\t2024届高三07班\t1.000", "20240110\t2024届高三09班\t0.947", "20240110\t2024届高三11班\t0.967", - "20240322\t2024届高三01班\t0.969" + "20240322\t2024届高三01班\t0.969", + "20240402\t2024届高三12班\t0.917", + "20240402\t2024届高三08班\t0.938" ], "origin": "2023年空中课堂高三复习课25", "edit": [ @@ -417801,7 +417931,14 @@ "20230329\t2023届高三09班\t0.867", "20230329\t2023届高三11班\t0.809", "20230329\t2023届高三12班\t1.000", - "20240319\t2024届高三02班\t0.889" + "20240319\t2024届高三02班\t0.889", + "20240402\t2024届高三11班\t0.926", + "20240402\t2024届高三12班\t0.870", + "20240402\t2024届高三04班\t0.852", + "20240402\t2024届高三05班\t0.786", + "20240402\t2024届高三06班\t0.909", + "20240402\t2024届高三07班\t0.838", + "20240402\t2024届高三08班\t1.000" ], "origin": "2023年空中课堂高三复习课26", "edit": [ @@ -417962,7 +418099,14 @@ "20230329\t2023届高三09班\t0.833", "20230329\t2023届高三11班\t0.762", "20230329\t2023届高三12班\t0.955", - "20240319\t2024届高三02班\t0.903" + "20240319\t2024届高三02班\t0.903", + "20240402\t2024届高三11班\t0.889", + "20240402\t2024届高三12班\t1.000", + "20240402\t2024届高三04班\t0.778", + "20240402\t2024届高三05班\t0.857", + "20240402\t2024届高三06班\t0.909", + "20240402\t2024届高三07班\t0.946", + "20240402\t2024届高三08班\t0.882" ], "origin": "2023年空中课堂高三复习课26", "edit": [ @@ -418132,7 +418276,14 @@ "20230329\t2023届高三09班\t0.967\t0.733", "20230329\t2023届高三11班\t0.857\t0.809", "20230329\t2023届高三12班\t0.818\t0.682", - "20240319\t2024届高三02班\t0.958\t0.806" + "20240319\t2024届高三02班\t0.958\t0.806", + "20240402\t2024届高三11班\t0.889\t0.889", + "20240402\t2024届高三12班\t1.000\t0.891", + "20240402\t2024届高三04班\t0.852\t0.926", + "20240402\t2024届高三05班\t0.857\t0.911", + "20240402\t2024届高三06班\t1.000\t0.924", + "20240402\t2024届高三07班\t0.784\t0.892", + "20240402\t2024届高三08班\t0.882\t1.000" ], "origin": "2023年空中课堂高三复习课26", "edit": [ @@ -418210,7 +418361,14 @@ "20230329\t2023届高三09班\t0.700", "20230329\t2023届高三11班\t0.905", "20230329\t2023届高三12班\t1.000", - "20240319\t2024届高三02班\t0.972" + "20240319\t2024届高三02班\t0.972", + "20240402\t2024届高三11班\t0.926", + "20240402\t2024届高三12班\t0.913", + "20240402\t2024届高三04班\t0.963", + "20240402\t2024届高三05班\t0.964", + "20240402\t2024届高三06班\t0.970", + "20240402\t2024届高三07班\t0.892", + "20240402\t2024届高三08班\t0.941" ], "origin": "2023年空中课堂高三复习课26", "edit": [ @@ -418300,7 +418458,14 @@ "20230517\t2023届高三10班\t0.541", "20230517\t2023届高三11班\t0.400", "20230517\t2023届高三12班\t0.542", - "20240319\t2024届高三02班\t0.917" + "20240319\t2024届高三02班\t0.917", + "20240402\t2024届高三11班\t0.815", + "20240402\t2024届高三12班\t0.652", + "20240402\t2024届高三04班\t0.667", + "20240402\t2024届高三05班\t0.679", + "20240402\t2024届高三06班\t0.879", + "20240402\t2024届高三07班\t0.784", + "20240402\t2024届高三08班\t0.882" ], "origin": "2023年空中课堂高三复习课26", "edit": [ @@ -418336,7 +418501,14 @@ "20230329\t2023届高三09班\t0.967", "20230329\t2023届高三11班\t0.952", "20230329\t2023届高三12班\t1.000", - "20240319\t2024届高三02班\t0.972" + "20240319\t2024届高三02班\t0.972", + "20240402\t2024届高三11班\t0.963", + "20240402\t2024届高三12班\t0.957", + "20240402\t2024届高三04班\t0.963", + "20240402\t2024届高三05班\t1.000", + "20240402\t2024届高三06班\t1.000", + "20240402\t2024届高三07班\t1.000", + "20240402\t2024届高三08班\t0.941" ], "origin": "2023年空中课堂高三复习课26", "edit": [ @@ -418370,7 +418542,14 @@ "20230329\t2023届高三09班\t0.767", "20230329\t2023届高三11班\t0.714", "20230329\t2023届高三12班\t0.909", - "20240319\t2024届高三02班\t0.944" + "20240319\t2024届高三02班\t0.944", + "20240402\t2024届高三11班\t0.815", + "20240402\t2024届高三12班\t0.957", + "20240402\t2024届高三04班\t0.741", + "20240402\t2024届高三05班\t0.857", + "20240402\t2024届高三06班\t0.970", + "20240402\t2024届高三07班\t0.865", + "20240402\t2024届高三08班\t0.941" ], "origin": "2023年空中课堂高三复习课26", "edit": [ @@ -418404,7 +418583,14 @@ "20230329\t2023届高三09班\t0.367", "20230329\t2023届高三11班\t0.381", "20230329\t2023届高三12班\t0.682", - "20240319\t2024届高三02班\t0.778" + "20240319\t2024届高三02班\t0.778", + "20240402\t2024届高三11班\t0.519", + "20240402\t2024届高三12班\t0.435", + "20240402\t2024届高三04班\t0.519", + "20240402\t2024届高三05班\t0.464", + "20240402\t2024届高三06班\t0.667", + "20240402\t2024届高三07班\t0.541", + "20240402\t2024届高三08班\t0.471" ], "origin": "2023年空中课堂高三复习课26", "edit": [ @@ -419226,7 +419412,8 @@ "20230331\t2023届高三10班\t1.000", "20230331\t2023届高三11班\t1.000", "20230331\t2023届高三12班\t0.947", - "20240320\t2024届高三02班\t0.972" + "20240320\t2024届高三02班\t0.972", + "20240326\t2024届高三03班\t0.957" ], "origin": "2023年空中课堂高三复习课27", "edit": [ @@ -419394,7 +419581,8 @@ "20230331\t2023届高三10班\t1.000", "20230331\t2023届高三11班\t0.850", "20230331\t2023届高三12班\t0.842", - "20240320\t2024届高三02班\t0.806" + "20240320\t2024届高三02班\t0.806", + "20240326\t2024届高三03班\t0.739" ], "origin": "2023年空中课堂高三复习课27", "edit": [ @@ -419473,7 +419661,8 @@ "20230331\t2023届高三10班\t1.000", "20230331\t2023届高三11班\t0.750", "20230331\t2023届高三12班\t0.421", - "20240320\t2024届高三02班\t0.778" + "20240320\t2024届高三02班\t0.778", + "20240326\t2024届高三03班\t0.913" ], "origin": "2023年空中课堂高三复习课27", "edit": [ @@ -419508,7 +419697,8 @@ "20230331\t2023届高三10班\t1.000\t1.000", "20230331\t2023届高三11班\t0.950\t0.900", "20230331\t2023届高三12班\t0.947\t0.895", - "20240320\t2024届高三02班\t1.000\t0.917" + "20240320\t2024届高三02班\t1.000\t0.917", + "20240326\t2024届高三03班\t1.000\t0.870" ], "origin": "2023年空中课堂高三复习课27", "edit": [ @@ -419543,7 +419733,8 @@ "20230331\t2023届高三10班\t1.000\t1.000\t0.000", "20230331\t2023届高三11班\t0.900\t0.650\t0.350", "20230331\t2023届高三12班\t0.947\t0.947\t0.000", - "20240320\t2024届高三02班\t0.986\t0.889\t0.472" + "20240320\t2024届高三02班\t0.986\t0.889\t0.472", + "20240326\t2024届高三03班\t0.717\t0.913\t0.000" ], "origin": "2023年空中课堂高三复习课27", "edit": [ @@ -419579,7 +419770,8 @@ "20230331\t2023届高三10班\t1.000\t0.000\t1.000", "20230331\t2023届高三11班\t0.650\t0.600\t0.600", "20230331\t2023届高三12班\t0.895\t0.842\t0.895", - "20240320\t2024届高三02班\t0.889\t1.000\t0.889" + "20240320\t2024届高三02班\t0.889\t1.000\t0.889", + "20240326\t2024届高三03班\t0.522\t0.913\t0.652" ], "origin": "2023年空中课堂高三复习课27", "edit": [ @@ -419615,7 +419807,8 @@ "20230331\t2023届高三10班\t1.000\t1.000\t0.000", "20230331\t2023届高三11班\t0.900\t0.600\t0.350", "20230331\t2023届高三12班\t0.947\t0.789\t0.842", - "20240320\t2024届高三02班\t0.972\t0.861\t0.944" + "20240320\t2024届高三02班\t0.972\t0.861\t0.944", + "20240326\t2024届高三03班\t0.587\t0.522\t0.783" ], "origin": "2023年空中课堂高三复习课27", "edit": [ @@ -424193,7 +424386,18 @@ "20240401\t2024届高二03班\t0.946", "20240401\t2024届高二04班\t0.833", "20240401\t2024届高二05班\t0.944", - "20240401\t2024届高二07班\t0.818" + "20240401\t2024届高二07班\t0.818", + "20240401\t2024届高三10班\t0.947", + "20240401\t2024届高三02班\t0.971", + "20240401\t2024届高三05班\t0.962", + "20240401\t2024届高三06班\t0.941", + "20240401\t2024届高三07班\t0.976", + "20240401\t2024届高三08班\t1.000", + "20240401\t2024届高三09班\t1.000", + "20240401\t2024届高二10班\t0.970", + "20240401\t2024届高二01班\t0.974", + "20240401\t2024届高二02班\t0.946", + "20240401\t2024届高二09班\t0.882" ], "origin": "2023届高三崇明区二模试题5", "edit": [ @@ -424270,7 +424474,18 @@ "20240401\t2024届高二03班\t0.730", "20240401\t2024届高二04班\t0.500", "20240401\t2024届高二05班\t0.611", - "20240401\t2024届高二07班\t0.432" + "20240401\t2024届高二07班\t0.432", + "20240401\t2024届高三10班\t1.000", + "20240401\t2024届高三02班\t1.000", + "20240401\t2024届高三05班\t0.923", + "20240401\t2024届高三06班\t1.000", + "20240401\t2024届高三07班\t0.951", + "20240401\t2024届高三08班\t1.000", + "20240401\t2024届高三09班\t0.944", + "20240401\t2024届高二10班\t0.485", + "20240401\t2024届高二01班\t0.789", + "20240401\t2024届高二02班\t0.865", + "20240401\t2024届高二09班\t0.412" ], "origin": "2023届高三崇明区二模试题7", "edit": [ @@ -424311,7 +424526,18 @@ "20240401\t2024届高二03班\t0.730", "20240401\t2024届高二04班\t0.533", "20240401\t2024届高二05班\t0.556", - "20240401\t2024届高二07班\t0.614" + "20240401\t2024届高二07班\t0.614", + "20240401\t2024届高三10班\t1.000", + "20240401\t2024届高三02班\t1.000", + "20240401\t2024届高三05班\t0.923", + "20240401\t2024届高三06班\t1.000", + "20240401\t2024届高三07班\t0.976", + "20240401\t2024届高三08班\t1.000", + "20240401\t2024届高三09班\t0.944", + "20240401\t2024届高二10班\t0.485", + "20240401\t2024届高二01班\t0.763", + "20240401\t2024届高二02班\t0.784", + "20240401\t2024届高二09班\t0.647" ], "origin": "2023届高三崇明区二模试题8", "edit": [ @@ -424425,7 +424651,18 @@ "20240401\t2024届高二03班\t0.811", "20240401\t2024届高二04班\t0.500", "20240401\t2024届高二05班\t0.639", - "20240401\t2024届高二07班\t0.500" + "20240401\t2024届高二07班\t0.500", + "20240401\t2024届高三10班\t0.526", + "20240401\t2024届高三02班\t0.886", + "20240401\t2024届高三05班\t0.692", + "20240401\t2024届高三06班\t0.794", + "20240401\t2024届高三07班\t0.683", + "20240401\t2024届高三08班\t0.500", + "20240401\t2024届高三09班\t0.778", + "20240401\t2024届高二10班\t0.455", + "20240401\t2024届高二01班\t0.816", + "20240401\t2024届高二02班\t0.730", + "20240401\t2024届高二09班\t0.382" ], "origin": "2023届高三崇明区二模试题11", "edit": [ @@ -424806,7 +425043,18 @@ "20240401\t2024届高二03班\t0.932\t0.932\t0.919", "20240401\t2024届高二04班\t0.900\t0.817\t0.650", "20240401\t2024届高二05班\t0.861\t0.819\t0.556", - "20240401\t2024届高二07班\t0.955\t0.761\t0.500" + "20240401\t2024届高二07班\t0.955\t0.761\t0.500", + "20240401\t2024届高三10班\t0.947\t0.789\t0.000", + "20240401\t2024届高三02班\t0.943\t0.857\t0.300", + "20240401\t2024届高三05班\t0.885\t0.577\t0.038", + "20240401\t2024届高三06班\t0.897\t0.779\t0.059", + "20240401\t2024届高三07班\t0.732\t0.634\t0.122", + "20240401\t2024届高三08班\t0.944\t0.500\t0.000", + "20240401\t2024届高三09班\t0.944\t0.667\t0.000", + "20240401\t2024届高二10班\t0.803\t0.652\t0.439", + "20240401\t2024届高二01班\t0.974\t0.882\t0.697", + "20240401\t2024届高二02班\t0.973\t0.838\t0.730", + "20240401\t2024届高二09班\t0.941\t0.706\t0.471" ], "origin": "2023届高三崇明区二模试题21", "edit": [ @@ -535281,7 +535529,18 @@ "20240401\t2024届高二03班\t0.770", "20240401\t2024届高二04班\t0.567", "20240401\t2024届高二05班\t0.569", - "20240401\t2024届高二07班\t0.466" + "20240401\t2024届高二07班\t0.466", + "20240401\t2024届高三10班\t0.947\t0.684", + "20240401\t2024届高三02班\t0.971\t0.914", + "20240401\t2024届高三05班\t1.000\t0.808", + "20240401\t2024届高三06班\t0.956\t0.897", + "20240401\t2024届高三07班\t0.963\t0.854", + "20240401\t2024届高三08班\t1.000\t0.833", + "20240401\t2024届高三09班\t1.000\t0.806", + "20240401\t2024届高二10班\t0.439", + "20240401\t2024届高二01班\t0.658", + "20240401\t2024届高二02班\t0.608", + "20240401\t2024届高二09班\t0.603" ], "origin": "高考数学风暴第二轮复习用书07数列与数学归纳法", "edit": [ @@ -593933,7 +594192,13 @@ "20230216\t2024届高二09班\t0.320", "20230216\t2024届高二10班\t0.464", "20230216\t2024届高二11班\t0.438", - "20240328\t2025届高二03班\t0.488" + "20240328\t2025届高二03班\t0.488", + "20240402\t2025届高二10班\t0.344", + "20240402\t2025届高二11班\t0.321", + "20240402\t2025届高二04班\t0.417", + "20240402\t2025届高二05班\t0.528", + "20240402\t2025届高二07班\t0.533", + "20240402\t2025届高二09班\t0.568" ], "origin": "2024届高二校本作业选择性必修第二章", "edit": [ @@ -593966,7 +594231,13 @@ "20230216\t2024届高二09班\t0.160", "20230216\t2024届高二10班\t0.500", "20230216\t2024届高二11班\t0.688", - "20240328\t2025届高二03班\t0.634" + "20240328\t2025届高二03班\t0.634", + "20240402\t2025届高二10班\t0.406", + "20240402\t2025届高二11班\t0.429", + "20240402\t2025届高二04班\t0.778", + "20240402\t2025届高二05班\t0.583", + "20240402\t2025届高二07班\t0.556", + "20240402\t2025届高二09班\t0.378" ], "origin": "2024届高二校本作业选择性必修第二章", "edit": [ @@ -594041,7 +594312,13 @@ "20230216\t2024届高二09班\t0.600", "20230216\t2024届高二10班\t0.714", "20230216\t2024届高二11班\t0.656", - "20240328\t2025届高二03班\t0.805" + "20240328\t2025届高二03班\t0.805", + "20240402\t2025届高二10班\t0.875", + "20240402\t2025届高二11班\t0.393", + "20240402\t2025届高二04班\t0.639", + "20240402\t2025届高二05班\t0.528", + "20240402\t2025届高二07班\t0.600", + "20240402\t2025届高二09班\t0.811" ], "origin": "2024届高二校本作业选择性必修第二章", "edit": [ @@ -594074,7 +594351,13 @@ "20230216\t2024届高二09班\t0.880", "20230216\t2024届高二10班\t0.857", "20230216\t2024届高二11班\t0.969", - "20240328\t2025届高二03班\t0.951" + "20240328\t2025届高二03班\t0.951", + "20240402\t2025届高二10班\t0.938", + "20240402\t2025届高二11班\t0.857", + "20240402\t2025届高二04班\t0.972", + "20240402\t2025届高二05班\t0.861", + "20240402\t2025届高二07班\t1.000", + "20240402\t2025届高二09班\t0.919" ], "origin": "2024届高二校本作业选择性必修第二章", "edit": [ @@ -594098,7 +594381,13 @@ "solution": "", "duration": -1, "usages": [ - "20240328\t2025届高二03班\t0.976" + "20240328\t2025届高二03班\t0.976", + "20240402\t2025届高二10班\t0.938", + "20240402\t2025届高二11班\t0.750", + "20240402\t2025届高二04班\t0.861", + "20240402\t2025届高二05班\t0.944", + "20240402\t2025届高二07班\t0.911", + "20240402\t2025届高二09班\t0.946" ], "origin": "2024届高二校本作业选择性必修第二章", "edit": [ @@ -594131,7 +594420,13 @@ "20230216\t2024届高二09班\t0.940\t0.960", "20230216\t2024届高二10班\t1.000\t0.964", "20230216\t2024届高二11班\t0.984\t0.953", - "20240328\t2025届高二03班\t0.988\t0.951" + "20240328\t2025届高二03班\t0.988\t0.951", + "20240402\t2025届高二10班\t1.000\t0.984", + "20240402\t2025届高二11班\t0.982\t1.000", + "20240402\t2025届高二04班\t0.972\t0.958", + "20240402\t2025届高二05班\t0.972\t1.000", + "20240402\t2025届高二07班\t1.000\t0.911", + "20240402\t2025届高二09班\t1.000\t0.919" ], "origin": "2024届高二校本作业选择性必修第二章", "edit": [ @@ -594164,7 +594459,13 @@ "20230216\t2024届高二09班\t0.480", "20230216\t2024届高二10班\t0.643", "20230216\t2024届高二11班\t0.641", - "20240328\t2025届高二03班\t0.878" + "20240328\t2025届高二03班\t0.878", + "20240402\t2025届高二10班\t0.797", + "20240402\t2025届高二11班\t0.589", + "20240402\t2025届高二04班\t0.694", + "20240402\t2025届高二05班\t0.708", + "20240402\t2025届高二07班\t0.656", + "20240402\t2025届高二09班\t0.865" ], "origin": "2024届高二校本作业选择性必修第二章", "edit": [ @@ -605147,7 +605448,15 @@ "20230323\t2025届高一08班\t0.897", "20230323\t2025届高一09班\t0.976", "20230323\t2025届高一11班\t0.976", - "20230323\t2025届高一12班\t0.900" + "20230323\t2025届高一12班\t0.900", + "20240402\t2026届高一10班\t0.971", + "20240402\t2026届高一11班\t1.000", + "20240402\t2026届高一12班\t0.951", + "20240402\t2026届高一03班\t0.976", + "20240402\t2026届高一06班\t1.000", + "20240402\t2026届高一07班\t0.974", + "20240402\t2026届高一08班\t0.846", + "20240402\t2026届高一09班\t0.951" ], "origin": "2025届高一下校本作业", "edit": [ @@ -605350,7 +605659,15 @@ "20230324\t2025届高一08班\t0.882", "20230324\t2025届高一09班\t0.950", "20230324\t2025届高一11班\t0.954", - "20230324\t2025届高一12班\t0.854" + "20230324\t2025届高一12班\t0.854", + "20240402\t2026届高一10班\t0.886", + "20240402\t2026届高一11班\t0.919", + "20240402\t2026届高一12班\t1.000", + "20240402\t2026届高一03班\t0.952", + "20240402\t2026届高一06班\t0.732", + "20240402\t2026届高一07班\t0.947", + "20240402\t2026届高一08班\t0.923", + "20240402\t2026届高一09班\t1.000" ], "origin": "2025届高一下校本作业", "edit": [ @@ -605680,7 +605997,15 @@ "20230327\t2025届高一08班\t0.973", "20230327\t2025届高一09班\t0.927", "20230327\t2025届高一11班\t1.000", - "20230327\t2025届高一12班\t1.000" + "20230327\t2025届高一12班\t1.000", + "20240402\t2026届高一10班\t0.971", + "20240402\t2026届高一11班\t0.973", + "20240402\t2026届高一12班\t1.000", + "20240402\t2026届高一03班\t0.976", + "20240402\t2026届高一06班\t1.000", + "20240402\t2026届高一07班\t1.000", + "20240402\t2026届高一08班\t0.974", + "20240402\t2026届高一09班\t1.000" ], "origin": "2025届高一下校本作业", "edit": [ @@ -606130,7 +606455,15 @@ "20230327\t2025届高一08班\t0.824", "20230327\t2025届高一09班\t0.817", "20230327\t2025届高一11班\t0.857", - "20230327\t2025届高一12班\t0.786" + "20230327\t2025届高一12班\t0.786", + "20240402\t2026届高一10班\t0.657", + "20240402\t2026届高一11班\t0.784", + "20240402\t2026届高一12班\t0.659", + "20240402\t2026届高一03班\t0.881", + "20240402\t2026届高一06班\t0.732", + "20240402\t2026届高一07班\t0.526", + "20240402\t2026届高一08班\t0.641", + "20240402\t2026届高一09班\t0.756" ], "origin": "2025届高一下校本作业", "edit": [ @@ -606565,7 +606898,15 @@ "20230330\t2025届高一08班\t1.000", "20230330\t2025届高一09班\t1.000", "20230330\t2025届高一11班\t0.975", - "20230330\t2025届高一12班\t1.000" + "20230330\t2025届高一12班\t1.000", + "20240402\t2026届高一10班\t0.943", + "20240402\t2026届高一11班\t0.892", + "20240402\t2026届高一12班\t0.976", + "20240402\t2026届高一03班\t0.929", + "20240402\t2026届高一06班\t0.780", + "20240402\t2026届高一07班\t0.947", + "20240402\t2026届高一08班\t0.897", + "20240402\t2026届高一09班\t0.927" ], "origin": "2025届高一下校本作业", "edit": [ @@ -606809,7 +607150,15 @@ "20230330\t2025届高一08班\t0.750", "20230330\t2025届高一09班\t0.775", "20230330\t2025届高一11班\t0.812", - "20230330\t2025届高一12班\t0.769" + "20230330\t2025届高一12班\t0.769", + "20240402\t2026届高一10班\t0.743", + "20240402\t2026届高一11班\t0.703", + "20240402\t2026届高一12班\t0.756", + "20240402\t2026届高一03班\t0.738", + "20240402\t2026届高一06班\t0.854", + "20240402\t2026届高一07班\t0.737", + "20240402\t2026届高一08班\t0.769", + "20240402\t2026届高一09班\t0.512" ], "origin": "2025届高一下校本作业", "edit": [ @@ -662484,7 +662833,16 @@ "ans": "$\\left \\{x|\\dfrac{\\pi}{2}+2k\\pi \\leq x \\leq \\dfrac{3\\pi}{2}+2k\\pi,k \\in \\mathbf{Z} \\right \\}$.", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20240402\t2026届高一10班\t0.600", + "20240402\t2026届高一11班\t0.946", + "20240402\t2026届高一12班\t0.829", + "20240402\t2026届高一03班\t0.857", + "20240402\t2026届高一06班\t0.927", + "20240402\t2026届高一07班\t0.579", + "20240402\t2026届高一08班\t0.821", + "20240402\t2026届高一09班\t0.805" + ], "origin": "2025届高一下校本作业-20240116修改", "edit": [ "20230209\t王伟叶", @@ -662510,7 +662868,16 @@ "ans": "图像如下:\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw [->] (-4,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,1.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw (-pi,-1) cos (-pi/2,0) sin (0,1);\n\\draw (0,0) sin (pi/2,-1) cos (pi,0);\n\\draw [dashed] (-pi,0) node [above] {$\\pi$} -- (-pi,-1) -- (0,-1) node [right] {$-1$};\n\\draw (0,1) node [right] {$1$} (pi,0) node [above] {$\\pi$};\n\\foreach \\i/\\j in {-pi/-1,0/1,pi/0}\n{\\filldraw (\\i,\\j) circle (0.03);};\n\\filldraw [fill = white] (0,0) circle (0.03);\n\\end{tikzpicture}\n\\end{center}\n当$a \\in (-\\infty,-1)\\cup (1,+\\infty)$ 时, 方程实数解个数为$0$个; \\\\\n当$a \\in (0,1]$时,方程实数解个数为$1$个;\\\\\n当$a \\in \\{0,-1\\}$时,方程实数解个数为$2$个;\\\\\n当$a \\in (-1,0)$时, 方程实数解个数为$3$个", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20240402\t2026届高一10班\t0.429", + "20240402\t2026届高一11班\t0.568", + "20240402\t2026届高一12班\t0.659", + "20240402\t2026届高一03班\t0.452", + "20240402\t2026届高一06班\t0.610", + "20240402\t2026届高一07班\t0.447", + "20240402\t2026届高一08班\t0.590", + "20240402\t2026届高一09班\t0.512" + ], "origin": "2025届高一下校本作业-20240116修改", "edit": [ "20230209\t王伟叶", @@ -662536,7 +662903,16 @@ "ans": "$6\\pi$, $\\pi$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20240402\t2026届高一10班\t1.000\t1.000", + "20240402\t2026届高一11班\t1.000\t0.973", + "20240402\t2026届高一12班\t1.000\t1.000", + "20240402\t2026届高一03班\t0.976\t1.000", + "20240402\t2026届高一06班\t0.976\t0.927", + "20240402\t2026届高一07班\t0.974\t0.947", + "20240402\t2026届高一08班\t0.974\t1.000", + "20240402\t2026届高一09班\t0.976\t0.976" + ], "origin": "自拟题目", "edit": [ "20240116\t朱敏慧", @@ -662559,7 +662935,16 @@ "ans": "在$[-\\dfrac{\\pi}{6},\\dfrac{\\pi}{3}]$上严格减, 在$[\\dfrac{\\pi}{3},\\dfrac{2\\pi}{3}]$上严格增, 值域为$[-1,1]$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20240402\t2026届高一10班\t0.457", + "20240402\t2026届高一11班\t0.595", + "20240402\t2026届高一12班\t0.390", + "20240402\t2026届高一03班\t0.738", + "20240402\t2026届高一06班\t0.634", + "20240402\t2026届高一07班\t0.763", + "20240402\t2026届高一08班\t0.718", + "20240402\t2026届高一09班\t0.659" + ], "origin": "自拟题目", "edit": [ "20240116\t朱敏慧" @@ -679574,7 +679959,18 @@ "20240401\t2024届高二03班\t0.784", "20240401\t2024届高二04班\t0.300", "20240401\t2024届高二05班\t0.556", - "20240401\t2024届高二07班\t0.568" + "20240401\t2024届高二07班\t0.568", + "20240401\t2024届高三10班\t0.895", + "20240401\t2024届高三02班\t0.943", + "20240401\t2024届高三05班\t1.000", + "20240401\t2024届高三06班\t0.912", + "20240401\t2024届高三07班\t0.976", + "20240401\t2024届高三08班\t1.000", + "20240401\t2024届高三09班\t0.944", + "20240401\t2024届高二10班\t0.515", + "20240401\t2024届高二01班\t0.868", + "20240401\t2024届高二02班\t0.892", + "20240401\t2024届高二09班\t0.588" ], "origin": "自拟题目", "edit": [ @@ -679606,7 +680002,18 @@ "20240401\t2024届高二03班\t0.973", "20240401\t2024届高二04班\t0.800", "20240401\t2024届高二05班\t0.889", - "20240401\t2024届高二07班\t0.886" + "20240401\t2024届高二07班\t0.886", + "20240401\t2024届高三10班\t0.737", + "20240401\t2024届高三02班\t0.943", + "20240401\t2024届高三05班\t0.885", + "20240401\t2024届高三06班\t1.000", + "20240401\t2024届高三07班\t0.829", + "20240401\t2024届高三08班\t0.944", + "20240401\t2024届高三09班\t0.944", + "20240401\t2024届高二10班\t1.000", + "20240401\t2024届高二01班\t0.947", + "20240401\t2024届高二02班\t0.973", + "20240401\t2024届高二09班\t0.971" ], "origin": "自拟题目", "edit": [ @@ -688854,7 +689261,9 @@ "20240401\t2026届高一11班\t0.947", "20240401\t2026届高一01班\t0.951", "20240401\t2026届高一05班\t0.974", - "20240401\t2026届高一06班\t0.974" + "20240401\t2026届高一06班\t0.974", + "20240401\t2026届高一02班\t0.976", + "20240401\t2026届高一04班\t0.919" ], "origin": "导学先锋必修第四章测验试题1", "edit": [ @@ -688881,7 +689290,9 @@ "20240401\t2026届高一11班\t0.842", "20240401\t2026届高一01班\t0.927", "20240401\t2026届高一05班\t0.895", - "20240401\t2026届高一06班\t0.872" + "20240401\t2026届高一06班\t0.872", + "20240401\t2026届高一02班\t0.854", + "20240401\t2026届高一04班\t0.838" ], "origin": "导学先锋必修第四章测验试题2", "edit": [ @@ -688910,7 +689321,9 @@ "20240401\t2026届高一11班\t0.947", "20240401\t2026届高一01班\t0.902", "20240401\t2026届高一05班\t0.974", - "20240401\t2026届高一06班\t0.974" + "20240401\t2026届高一06班\t0.974", + "20240401\t2026届高一02班\t0.902", + "20240401\t2026届高一04班\t0.973" ], "origin": "导学先锋必修第四章测验试题3", "edit": [ @@ -688940,7 +689353,9 @@ "20240401\t2026届高一11班\t0.947", "20240401\t2026届高一01班\t0.878", "20240401\t2026届高一05班\t1.000", - "20240401\t2026届高一06班\t0.872" + "20240401\t2026届高一06班\t0.872", + "20240401\t2026届高一02班\t0.902", + "20240401\t2026届高一04班\t0.784" ], "origin": "导学先锋必修第四章测验试题4", "edit": [ @@ -688967,7 +689382,9 @@ "20240401\t2026届高一11班\t0.974", "20240401\t2026届高一01班\t1.000", "20240401\t2026届高一05班\t1.000", - "20240401\t2026届高一06班\t0.872" + "20240401\t2026届高一06班\t0.872", + "20240401\t2026届高一02班\t0.976", + "20240401\t2026届高一04班\t0.892" ], "origin": "导学先锋必修第四章测验试题5", "edit": [ @@ -688997,7 +689414,9 @@ "20240401\t2026届高一11班\t0.816", "20240401\t2026届高一01班\t0.854", "20240401\t2026届高一05班\t0.868", - "20240401\t2026届高一06班\t0.923" + "20240401\t2026届高一06班\t0.923", + "20240401\t2026届高一02班\t0.732", + "20240401\t2026届高一04班\t0.676" ], "origin": "导学先锋必修第四章测验试题6", "edit": [ @@ -689024,7 +689443,9 @@ "20240401\t2026届高一11班\t0.263", "20240401\t2026届高一01班\t0.244", "20240401\t2026届高一05班\t0.316", - "20240401\t2026届高一06班\t0.179" + "20240401\t2026届高一06班\t0.179", + "20240401\t2026届高一02班\t0.220", + "20240401\t2026届高一04班\t0.135" ], "origin": "导学先锋必修第四章测验试题7", "edit": [ @@ -689054,7 +689475,9 @@ "20240401\t2026届高一11班\t0.947", "20240401\t2026届高一01班\t0.902", "20240401\t2026届高一05班\t0.947", - "20240401\t2026届高一06班\t0.897" + "20240401\t2026届高一06班\t0.897", + "20240401\t2026届高一02班\t0.902", + "20240401\t2026届高一04班\t0.838" ], "origin": "导学先锋必修第四章测验试题8", "edit": [ @@ -689083,7 +689506,9 @@ "20240401\t2026届高一11班\t0.789", "20240401\t2026届高一01班\t0.854", "20240401\t2026届高一05班\t0.921", - "20240401\t2026届高一06班\t0.795" + "20240401\t2026届高一06班\t0.795", + "20240401\t2026届高一02班\t0.854", + "20240401\t2026届高一04班\t0.811" ], "origin": "导学先锋必修第四章测验试题9", "edit": [ @@ -689115,7 +689540,9 @@ "20240401\t2026届高一11班\t0.763", "20240401\t2026届高一01班\t0.732", "20240401\t2026届高一05班\t0.763", - "20240401\t2026届高一06班\t0.615" + "20240401\t2026届高一06班\t0.615", + "20240401\t2026届高一02班\t0.805", + "20240401\t2026届高一04班\t0.730" ], "origin": "导学先锋必修第四章测验试题10", "edit": [ @@ -689146,7 +689573,9 @@ "20240401\t2026届高一11班\t0.947", "20240401\t2026届高一01班\t0.951", "20240401\t2026届高一05班\t1.000", - "20240401\t2026届高一06班\t1.000" + "20240401\t2026届高一06班\t1.000", + "20240401\t2026届高一02班\t0.829", + "20240401\t2026届高一04班\t0.892" ], "origin": "导学先锋必修第四章测验试题11", "edit": [ @@ -689173,7 +689602,9 @@ "20240401\t2026届高一11班\t1.000", "20240401\t2026届高一01班\t0.976", "20240401\t2026届高一05班\t0.974", - "20240401\t2026届高一06班\t1.000" + "20240401\t2026届高一06班\t1.000", + "20240401\t2026届高一02班\t0.951", + "20240401\t2026届高一04班\t0.973" ], "origin": "导学先锋必修第四章测验试题12", "edit": [ @@ -689203,7 +689634,9 @@ "20240401\t2026届高一11班\t0.711", "20240401\t2026届高一01班\t0.902", "20240401\t2026届高一05班\t0.737", - "20240401\t2026届高一06班\t0.923" + "20240401\t2026届高一06班\t0.923", + "20240401\t2026届高一02班\t0.732", + "20240401\t2026届高一04班\t0.757" ], "origin": "导学先锋必修第四章测验试题13", "edit": [ @@ -689230,7 +689663,9 @@ "20240401\t2026届高一11班\t0.737", "20240401\t2026届高一01班\t0.756", "20240401\t2026届高一05班\t0.789", - "20240401\t2026届高一06班\t0.846" + "20240401\t2026届高一06班\t0.846", + "20240401\t2026届高一02班\t0.634", + "20240401\t2026届高一04班\t0.730" ], "origin": "导学先锋必修第四章测验试题14", "edit": [ @@ -689257,7 +689692,9 @@ "20240401\t2026届高一11班\t0.974", "20240401\t2026届高一01班\t0.902", "20240401\t2026届高一05班\t0.974", - "20240401\t2026届高一06班\t0.897" + "20240401\t2026届高一06班\t0.897", + "20240401\t2026届高一02班\t0.902", + "20240401\t2026届高一04班\t0.946" ], "origin": "导学先锋必修第四章测验试题15", "edit": [ @@ -689287,7 +689724,9 @@ "20240401\t2026届高一11班\t0.737", "20240401\t2026届高一01班\t0.854", "20240401\t2026届高一05班\t0.868", - "20240401\t2026届高一06班\t0.744" + "20240401\t2026届高一06班\t0.744", + "20240401\t2026届高一02班\t0.780", + "20240401\t2026届高一04班\t0.757" ], "origin": "导学先锋必修第四章测验试题16", "edit": [ @@ -689316,7 +689755,9 @@ "20240401\t2026届高一11班\t0.816\t0.632", "20240401\t2026届高一01班\t0.927\t0.707", "20240401\t2026届高一05班\t0.974\t0.684", - "20240401\t2026届高一06班\t0.974\t0.795" + "20240401\t2026届高一06班\t0.974\t0.795", + "20240401\t2026届高一02班\t0.927\t0.634", + "20240401\t2026届高一04班\t0.946\t0.622" ], "origin": 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"20240401\t2024届高三09班\t0.778", + "20240401\t2024届高二10班\t0.758", + "20240401\t2024届高二01班\t0.895", + "20240401\t2024届高二02班\t0.973", + "20240401\t2024届高二09班\t0.794" ], "origin": "空中课堂选择性必修第七章补充习题", "edit": [ @@ -711113,7 +711569,18 @@ "20240401\t2024届高二03班\t0.919", "20240401\t2024届高二04班\t0.700", "20240401\t2024届高二05班\t0.833", - "20240401\t2024届高二07班\t0.886" + "20240401\t2024届高二07班\t0.886", + "20240401\t2024届高三10班\t1.000", + "20240401\t2024届高三02班\t1.000", + "20240401\t2024届高三05班\t1.000", + "20240401\t2024届高三06班\t0.971", + "20240401\t2024届高三07班\t1.000", + "20240401\t2024届高三08班\t1.000", + "20240401\t2024届高三09班\t1.000", + "20240401\t2024届高二10班\t0.879", + "20240401\t2024届高二01班\t0.921", + "20240401\t2024届高二02班\t0.919", + "20240401\t2024届高二09班\t0.706" ], "origin": "2022届松江二模试题01", "edit": [ @@ -712494,7 +712961,18 @@ "20240401\t2024届高二03班\t0.946", "20240401\t2024届高二04班\t0.933", "20240401\t2024届高二05班\t0.917", - "20240401\t2024届高二07班\t0.886" + "20240401\t2024届高二07班\t0.886", + "20240401\t2024届高三10班\t0.895", + "20240401\t2024届高三02班\t1.000", + "20240401\t2024届高三05班\t0.962", + "20240401\t2024届高三06班\t0.971", + "20240401\t2024届高三07班\t0.976", + "20240401\t2024届高三08班\t0.889", + "20240401\t2024届高三09班\t1.000", + "20240401\t2024届高二10班\t0.879", + "20240401\t2024届高二01班\t1.000", + "20240401\t2024届高二02班\t0.892", + "20240401\t2024届高二09班\t0.941" ], "origin": "2022届松江二模试题13", "edit": [ @@ -714624,7 +715102,18 @@ "20240401\t2024届高二03班\t0.973", "20240401\t2024届高二04班\t0.933", "20240401\t2024届高二05班\t0.806", - "20240401\t2024届高二07班\t0.818" + "20240401\t2024届高二07班\t0.818", + "20240401\t2024届高三10班\t1.000", + "20240401\t2024届高三02班\t1.000", + "20240401\t2024届高三05班\t1.000", + "20240401\t2024届高三06班\t1.000", + "20240401\t2024届高三07班\t1.000", + "20240401\t2024届高三08班\t1.000", + "20240401\t2024届高三09班\t0.944", + "20240401\t2024届高二10班\t0.909", + "20240401\t2024届高二01班\t0.947", + "20240401\t2024届高二02班\t1.000", + "20240401\t2024届高二09班\t0.824" ], "origin": "2022届松江二模试题03", "edit": [ @@ -715232,7 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"20240401\t2024届高三08班\t0.944", + "20240401\t2024届高三09班\t1.000", + "20240401\t2024届高二10班\t1.000", + "20240401\t2024届高二01班\t0.947", + "20240401\t2024届高二02班\t0.919", + "20240401\t2024届高二09班\t0.882" ], "origin": "2022届松江二模试题02", "edit": [ @@ -720224,7 +720735,18 @@ "20240401\t2024届高二03班\t0.757", "20240401\t2024届高二04班\t0.400", "20240401\t2024届高二05班\t0.361", - "20240401\t2024届高二07班\t0.500" + "20240401\t2024届高二07班\t0.500", + "20240401\t2024届高三10班\t0.947", + "20240401\t2024届高三02班\t1.000", + "20240401\t2024届高三05班\t0.962", + "20240401\t2024届高三06班\t0.941", + "20240401\t2024届高三07班\t0.951", + "20240401\t2024届高三08班\t0.833", + "20240401\t2024届高三09班\t0.944", + "20240401\t2024届高二10班\t0.485", + "20240401\t2024届高二01班\t0.711", + "20240401\t2024届高二02班\t0.703", + "20240401\t2024届高二09班\t0.529" ], "origin": "2022届松江二模试题08", "edit": [ @@ -721368,7 +721890,18 @@ "20240401\t2024届高二03班\t0.892\t1.000\t0.703", "20240401\t2024届高二04班\t0.933\t0.950\t0.783", "20240401\t2024届高二05班\t0.972\t1.000\t0.708", - "20240401\t2024届高二07班\t0.943\t0.943\t0.670" + "20240401\t2024届高二07班\t0.943\t0.943\t0.670", + "20240401\t2024届高三10班\t1.000\t1.000", + "20240401\t2024届高三02班\t0.843\t0.971", + "20240401\t2024届高三05班\t0.904\t0.846", + "20240401\t2024届高三06班\t0.971\t0.956", + "20240401\t2024届高三07班\t0.866\t0.988", + "20240401\t2024届高三08班\t0.889\t1.000", + "20240401\t2024届高三09班\t0.833\t1.000", + "20240401\t2024届高二10班\t0.879\t0.939\t0.727", + "20240401\t2024届高二01班\t0.974\t0.987\t0.697", + "20240401\t2024届高二02班\t0.973\t1.000\t0.838", + "20240401\t2024届高二09班\t1.000\t0.912\t0.779" ], "origin": "2022届松江二模试题17", "edit": [ @@ -722269,7 +722802,18 @@ "20240401\t2024届高二03班\t0.946\t0.703", "20240401\t2024届高二04班\t0.833\t0.583", "20240401\t2024届高二05班\t0.944\t0.403", - "20240401\t2024届高二07班\t0.966\t0.341" + "20240401\t2024届高二07班\t0.966\t0.341", + "20240401\t2024届高三10班\t1.000\t0.816\t0.789", + "20240401\t2024届高三02班\t1.000\t0.943\t0.771", + "20240401\t2024届高三05班\t1.000\t0.808\t0.615", + "20240401\t2024届高三06班\t1.000\t0.765\t0.603", + "20240401\t2024届高三07班\t0.988\t0.622\t0.695", + "20240401\t2024届高三08班\t1.000\t0.556\t0.833", + "20240401\t2024届高三09班\t1.000\t0.778\t0.667", + "20240401\t2024届高二10班\t0.909\t0.409", + "20240401\t2024届高二01班\t1.000\t0.711", + "20240401\t2024届高二02班\t1.000\t0.635", + "20240401\t2024届高二09班\t0.868\t0.324" ], "origin": "2022届松江二模试题20", "edit": [ @@ -748211,7 +748755,14 @@ "solution": "", "duration": -1, "usages": [ - "20240322\t2024届高三01班\t1.000" + "20240322\t2024届高三01班\t1.000", + "20240402\t2024届高三11班\t0.889", + "20240402\t2024届高三12班\t0.875", + "20240402\t2024届高三04班\t0.966", + "20240402\t2024届高三05班\t0.793", + "20240402\t2024届高三06班\t0.903", + "20240402\t2024届高三07班\t0.861", + "20240402\t2024届高三08班\t0.812" ], "origin": "2020年空中课堂高三复习课29-20240121修改", "edit": [ @@ -748276,7 +748827,14 @@ "solution": "", "duration": -1, "usages": [ - "20240319\t2024届高三02班\t0.833" + "20240319\t2024届高三02班\t0.833", + "20240402\t2024届高三11班\t0.852", + "20240402\t2024届高三12班\t0.783", + "20240402\t2024届高三04班\t0.741", + "20240402\t2024届高三05班\t0.857", + "20240402\t2024届高三06班\t0.894", + "20240402\t2024届高三07班\t0.865", + "20240402\t2024届高三08班\t0.882" ], "origin": "2023年空中课堂高三复习课26-20240121修改", "edit": [ @@ -751529,7 +752087,18 @@ "20240401\t2024届高二03班\t0.973", "20240401\t2024届高二04班\t1.000", "20240401\t2024届高二05班\t0.861", - "20240401\t2024届高二07班\t0.932" + "20240401\t2024届高二07班\t0.932", + "20240401\t2024届高三10班\t0.632", + "20240401\t2024届高三02班\t0.771", + "20240401\t2024届高三05班\t0.808", + "20240401\t2024届高三06班\t0.765", + "20240401\t2024届高三07班\t0.756", + "20240401\t2024届高三08班\t0.667", + "20240401\t2024届高三09班\t0.667", + "20240401\t2024届高二10班\t0.970", + "20240401\t2024届高二01班\t0.868", + "20240401\t2024届高二02班\t0.946", + "20240401\t2024届高二09班\t0.912" ], "origin": "自拟题目", "edit": [ @@ -751563,7 +752132,18 @@ "20240401\t2024届高二03班\t0.892", "20240401\t2024届高二04班\t0.833", "20240401\t2024届高二05班\t0.694", - "20240401\t2024届高二07班\t0.955" + "20240401\t2024届高二07班\t0.955", + "20240401\t2024届高三10班\t0.632", + "20240401\t2024届高三02班\t0.886", + "20240401\t2024届高三05班\t0.885", + "20240401\t2024届高三06班\t0.941", + "20240401\t2024届高三07班\t0.902", + "20240401\t2024届高三08班\t0.667", + "20240401\t2024届高三09班\t0.611", + "20240401\t2024届高二10班\t0.909", + "20240401\t2024届高二01班\t0.868", + "20240401\t2024届高二02班\t0.919", + "20240401\t2024届高二09班\t0.882" ], "origin": "自拟题目", "edit": [ @@ -751591,7 +752171,18 @@ "20240401\t2024届高二03班\t0.027", "20240401\t2024届高二04班\t0.033", "20240401\t2024届高二05班\t0.167", - "20240401\t2024届高二07班\t0.068" + "20240401\t2024届高二07班\t0.068", + "20240401\t2024届高三10班\t0.474", + "20240401\t2024届高三02班\t0.571", + "20240401\t2024届高三05班\t0.538", + "20240401\t2024届高三06班\t0.647", + "20240401\t2024届高三07班\t0.512", + "20240401\t2024届高三08班\t0.556", + "20240401\t2024届高三09班\t0.611", + "20240401\t2024届高二10班\t0.030", + "20240401\t2024届高二01班\t0.263", + "20240401\t2024届高二02班\t0.081", + "20240401\t2024届高二09班\t0.176" ], "origin": "自拟题目", "edit": [ @@ -751620,7 +752211,18 @@ "20240401\t2024届高二03班\t0.838", "20240401\t2024届高二04班\t0.767", "20240401\t2024届高二05班\t0.764", - "20240401\t2024届高二07班\t0.818" + "20240401\t2024届高二07班\t0.818", + "20240401\t2024届高三10班\t0.947\t0.895", + "20240401\t2024届高三02班\t0.943\t0.814", + "20240401\t2024届高三05班\t0.846\t0.885", + "20240401\t2024届高三06班\t0.926\t0.897", + "20240401\t2024届高三07班\t0.878\t0.732", + "20240401\t2024届高三08班\t0.722\t0.889", + "20240401\t2024届高三09班\t0.944\t0.667", + "20240401\t2024届高二10班\t0.667", + "20240401\t2024届高二01班\t0.855", + "20240401\t2024届高二02班\t0.973", + "20240401\t2024届高二09班\t0.676" ], "origin": "自拟题目", "edit": [ @@ -780292,7 +780894,13 @@ "solution": "", "duration": -1, "usages": [ - "20240328\t2025届高二03班\t0.927\t0.512" + "20240328\t2025届高二03班\t0.927\t0.512", + "20240402\t2025届高二10班\t0.969\t0.594", + "20240402\t2025届高二11班\t1.000\t0.321", + "20240402\t2025届高二04班\t1.000\t0.528", + "20240402\t2025届高二05班\t0.889\t0.389", + "20240402\t2025届高二07班\t0.956\t0.289", + "20240402\t2025届高二09班\t1.000\t0.757" ], "origin": "2025届高二下学期校本作业-解析几何", "edit": [ @@ -780318,7 +780926,13 @@ "solution": "", "duration": -1, "usages": [ - "20240328\t2025届高二03班\t0.866" + "20240328\t2025届高二03班\t0.866", + "20240402\t2025届高二10班\t0.688", + "20240402\t2025届高二11班\t0.929", + "20240402\t2025届高二04班\t0.861", + "20240402\t2025届高二05班\t0.583", + "20240402\t2025届高二07班\t0.556", + "20240402\t2025届高二09班\t0.905" ], "origin": "2025届高二下学期校本作业-解析几何", "edit": [