四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题
适用年级：高三试卷类型：月考试题总数：23浏览次数：335上传日期：2019/4/28
难度系数：0.94使用：266次题型：单选题更新：2019/4/28
2 . 已知复数
满足
（其中i为虚数单位)，则
的虚部为（）
难度系数：0.94使用：330次题型：单选题更新：2015/6/16
3 . 已知
，则
（ ）
难度系数：0.94使用：638次题型：单选题更新：2019/4/28
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id=\"81004\" type=\"0\">苏教版</category><category id=\"81524\" type=\"0\">高中一年级第二学期</category><category id=\"81526\" type=\"0\">第5章 三角比</category><category id=\"81542\" type=\"0\">二 三角恒等式</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81524\" type=\"0\">高中一年级第二学期</category><category id=\"81526\" type=\"0\">第5章 三角比</category><category id=\"81542\" type=\"0\">二 三角恒等式</category><category id=\"81549\" type=\"0\">5.5 二倍角与半角的正弦、余弦和正切</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81756\" type=\"0\">必修第二册</category><category id=\"81759\" type=\"0\">第5章 三角恒等变换</category><category id=\"81787\" type=\"0\">5.2 二倍角的三角函数</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81756\" type=\"0\">必修第二册</category><category id=\"81759\" type=\"0\">第5章 三角恒等变换</category><category id=\"81788\" type=\"0\">5.3 简单的三角恒等变换</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82202\" type=\"0\">高一下册</category><category id=\"82203\" type=\"0\">第四章 三角函数</category><category id=\"82206\" type=\"0\">二 两角和与差的三角函数</category><category id=\"82215\" type=\"0\">4.7 二倍角的正弦、余弦、正切</category></item><item><category id=\"134949\" type=\"0\">人教A版（2019）</category><category id=\"135303\" type=\"0\">必修（第一册）</category><category id=\"135313\" type=\"0\">第五章 三角函数</category><category id=\"135381\" type=\"0\">5.5 三角恒等变换</category><category id=\"145229\" type=\"0\">5.5.2 简单的三角恒等变换</category></item>","ChildNum":1,"Time":"2019-04-28T06:37:31","QuesBody":"<div>【题文】已知<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/1dc1bfc1-4129-46ac-8bd5-5c32f31bbb32/paper.files/image001.png\" alt=\"eqId3641b0a9c7014879b13e52d1b1683781\">，则<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/1dc1bfc1-4129-46ac-8bd5-5c32f31bbb32/paper.files/image002.png\" alt=\"eqId1954095277c64437ac68b7bce42b77d6\">（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/1dc1bfc1-4129-46ac-8bd5-5c32f31bbb32/paper.files/image003.png\" alt=\"eqId5e331cc23c7f4a05b2253f4ca3bf8ffd\"></td><td width=\"25%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/1dc1bfc1-4129-46ac-8bd5-5c32f31bbb32/paper.files/image004.png\" alt=\"eqId930bd04abb1c40b6b4405722881974c6\"></td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/1dc1bfc1-4129-46ac-8bd5-5c32f31bbb32/paper.files/image005.png\" alt=\"eqId98e23e68e5ce47e79cb1ad3c290a7443\"></td><td width=\"25%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/1dc1bfc1-4129-46ac-8bd5-5c32f31bbb32/paper.files/image006.png\" alt=\"eqId836db6d106e440cd9e5ec0272122b7bb\"></td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":638,"AvgScore":5.0,"ParseAnswerKey":"d2cdc95c36eb8429f8f767f6e1a9f0b2","QuesAttribute":1,"QuesAttributes":{"ID":1,"Name":"知识点同步题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0}]},{"ID":6099840,"Guid":"560a7b50-c186-41e8-a10e-d76bcf4c0de3","Title":"河南省周口市2018届高三上学期期末抽测调研 数学（理）","From":"","Knowledge":"","QuesType":{"ID":2701,"Name":"单选题","IsSelectType":true,"OrderIndex":2,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":3,"DifValue":0.65,"Name":"一般"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27936\" type=\"1\">算法与框图</category><category id=\"29709\" type=\"1\">算法初步</category><category id=\"29711\" type=\"1\">算法与程序框图</category><category id=\"29719\" type=\"1\">循环结构框图</category><category id=\"29742\" type=\"1\">根据循环结构框图计算输出结果</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79332\" type=\"0\">必修3</category><category id=\"79334\" type=\"0\">第二章 算法初步</category><category id=\"79353\" type=\"0\">§2 算法框图的基本结构及设计</category><category id=\"79358\" type=\"0\">2.3 循环结构</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79505\" type=\"0\">选修1-2</category><category id=\"79507\" type=\"0\">第二章 框图</category></item><item><category id=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79821\" type=\"0\">高二第一学期</category><category id=\"79825\" type=\"0\">第十章 算法初步</category><category id=\"79840\" type=\"0\">10.2 程序框图</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"79992\" type=\"0\">必修3</category><category id=\"79993\" type=\"0\">第一章 算法初步</category><category id=\"79997\" type=\"0\">1.1 算法与程序框图</category><category id=\"80002\" type=\"0\">1.1.2 程序框图与算法的基本逻辑结构</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80145\" type=\"0\">选修1-2</category><category id=\"80149\" type=\"0\">第四章 框图</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80584\" type=\"0\">必修3</category><category id=\"80585\" type=\"0\">第一章 算法初步</category><category id=\"80589\" type=\"0\">1.1 算法与程序框图</category><category id=\"80594\" type=\"0\">1.1.2 程序框图</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80584\" type=\"0\">必修3</category><category id=\"80585\" type=\"0\">第一章 算法初步</category><category id=\"80589\" type=\"0\">1.1 算法与程序框图</category><category id=\"80595\" type=\"0\">1.1.3 算法的三种基本逻辑结构和框图表示</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80737\" type=\"0\">选修1-2</category><category id=\"80741\" type=\"0\">第四章 框图</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81066\" type=\"0\">必修3</category><category id=\"81067\" type=\"0\">第1章 算法初步</category><category id=\"81072\" type=\"0\">1.2 流程图</category><category id=\"81078\" type=\"0\">1.2.3 循环结构</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81204\" type=\"0\">选修1-2</category><category id=\"81208\" type=\"0\">第4章 框图</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81565\" type=\"0\">高中二年级第一学期</category><category id=\"81568\" type=\"0\">第9章 矩阵和行列式初步</category><category id=\"81593\" type=\"0\">二 行列式</category><category id=\"81602\" type=\"0\">10.2 程序框图</category></item><item><category id=\"81682\" type=\"0\">苏教版（2004）</category><category id=\"81698\" type=\"0\">选修1-2</category><category id=\"81702\" type=\"0\">第4章 框图</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81837\" type=\"0\">必修第五册</category><category id=\"81838\" type=\"0\">第11章 算法初步</category><category id=\"81843\" type=\"0\">11.2 算法结构与程序框图</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81837\" type=\"0\">必修第五册</category><category id=\"81838\" type=\"0\">第11章 算法初步</category><category id=\"81843\" type=\"0\">11.2 算法结构与程序框图</category><category id=\"81849\" type=\"0\">11.2.3 循环结构</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81916\" type=\"0\">选修1-2</category><category id=\"81919\" type=\"0\">第6章 框图</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81916\" type=\"0\">选修1-2</category><category id=\"81919\" type=\"0\">第6章 框图</category><category id=\"81938\" type=\"0\">6.3 程序框图</category></item>","ChildNum":1,"Time":"2018-03-01T00:00:50","QuesBody":"<div>【题文】宋元时期数学名着《算学启蒙》中有关于“松竹并生”的问题：松长五尺，竹长两尺，松日自半，竹日自倍，松竹何日而长等.如图是源于其思想的一个程序框图，若输入的<img style=\"vertical-align:middle;\" src=\"Upload/2019-07/05/bb165751-0ab9-410e-9860-95f31adf7e46/paper.files/image001.png\" alt=\"eqId70a27b6ddf6b478285353abb3b1f3741\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-07/05/bb165751-0ab9-410e-9860-95f31adf7e46/paper.files/image002.png\" alt=\"eqIdaea992e70d4943e49e893817eb885ed7\">分别为5，2，则输出的<img style=\"vertical-align:middle;\" src=\"Upload/2019-07/05/bb165751-0ab9-410e-9860-95f31adf7e46/paper.files/image003.png\" alt=\"eqId8c4243d3a68d483db73d7f4203c7e940\">（ ）<br><img style=\"vertical-align:middle;\" src=\"Upload/2019-07/05/bb165751-0ab9-410e-9860-95f31adf7e46/paper.files/image004.png\" alt=\"figure\"><table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．5</td><td width=\"25%\">B．4</td><td width=\"25%\">C．3</td><td width=\"25%\">D．2</td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":746,"AvgScore":5.0,"ParseAnswerKey":"cd18e0690d18ce5509fffd37a5721b95","QuesAttribute":1,"QuesAttributes":{"ID":1,"Name":"知识点同步题"},"TitleAbbreviation":"2019·四川省南充高级中学高二月考（理）","PaperSource":[{"Id":541307,"PaperTitle":"四川省南充市阆中中学2018-2019学年高二6月月考数学（理）试题","LearnGrade":11,"PaperType":3,"Province":510000,"PaperYear":2019,"PaperLevel":51,"AddTimeOn":"2019-07-15T10:12:18","SchoolId":64046,"MatchingDegree":0},{"Id":541306,"PaperTitle":"四川省南充市阆中中学2018-2019学年高二6月月考数学（文）试题","LearnGrade":11,"PaperType":3,"Province":510000,"PaperYear":2019,"PaperLevel":51,"AddTimeOn":"2019-07-15T10:11:24","SchoolId":64280,"MatchingDegree":0},{"Id":525168,"PaperTitle":"四川省峨眉山市2019届高三高考适应性考试数学文科试题","LearnGrade":12,"PaperType":9,"Province":510000,"PaperYear":2019,"PaperLevel":42,"AddTimeOn":"2019-06-10T22:43:54","SchoolId":0,"MatchingDegree":0},{"Id":525167,"PaperTitle":"四川省峨眉山市2019届高三高考适应性考试数学（理）试题","LearnGrade":12,"PaperType":9,"Province":510000,"PaperYear":2019,"PaperLevel":42,"AddTimeOn":"2019-06-10T22:42:31","SchoolId":0,"MatchingDegree":0},{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0},{"Id":502264,"PaperTitle":"陕西省延安市2019届高三高考模拟试题（一）理科数学","LearnGrade":12,"PaperType":9,"Province":610000,"PaperYear":2019,"PaperLevel":41,"AddTimeOn":"2019-04-25T22:43:21","SchoolId":0,"MatchingDegree":0},{"Id":339285,"PaperTitle":"江西省八所重点中学2018年高三下学期联考数学（理科）试卷","LearnGrade":12,"PaperType":9,"Province":360000,"PaperYear":2018,"PaperLevel":61,"AddTimeOn":"2018-04-11T19:50:40","SchoolId":33786,"MatchingDegree":0},{"Id":323287,"PaperTitle":"河南省周口市2018届高三上学期期末抽测调研 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type=\"1\">描述正（余）弦型函数图象的变换过程</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27928\" type=\"1\">三角函数与解三角形</category><category id=\"28321\" type=\"1\">三角函数</category><category id=\"28329\" type=\"1\">函数y=Asin(ωx+φ)的图象变换</category><category id=\"28494\" type=\"1\">三角函数的图象变换</category><category id=\"28500\" type=\"1\">求图象变化前（后）的解析式</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79370\" type=\"0\">必修4</category><category id=\"79371\" type=\"0\">第一章 三角函数</category><category id=\"79382\" type=\"0\">§8 函数y=Asin(ωx+φ)的图像与性质</category></item><item><category id=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79804\" type=\"0\">高一第二学期</category><category id=\"79807\" type=\"0\">第六章 三角函数</category><category id=\"79818\" type=\"0\">6.1 正弦函数和余弦函数的图像与性质</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80028\" type=\"0\">必修4</category><category id=\"80029\" type=\"0\">第一章 三角函数</category><category id=\"80037\" type=\"0\">1.5 函数y=Asin(ωx+φ)的图象</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80624\" type=\"0\">必修4</category><category id=\"80625\" type=\"0\">第一章 基本初等函数（Ⅱ）</category><category id=\"80632\" type=\"0\">本章复习与测试</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81103\" type=\"0\">必修4</category><category id=\"81104\" type=\"0\">第1章 三角函数</category><category id=\"81110\" type=\"0\">1.3 三角函数的图象和性质</category><category id=\"81119\" type=\"0\">1.3.3 函数y=Asin(ωx+φ)的图象</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81524\" type=\"0\">高中一年级第二学期</category><category id=\"81527\" type=\"0\">第6章 三角函数</category><category id=\"81553\" type=\"0\">一 三角函数的图像与性质</category><category id=\"81559\" type=\"0\">6.3 函数y=Asin(ωx+ψ)的图像与性质</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81756\" type=\"0\">必修第二册</category><category id=\"81757\" type=\"0\">第3章 三角函数</category><category id=\"81764\" type=\"0\">3.4 函数y=Asin(ωx+φ)的图象与性质</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81756\" type=\"0\">必修第二册</category><category id=\"81757\" type=\"0\">第3章 三角函数</category><category id=\"81764\" type=\"0\">3.4 函数y=Asin(ωx+φ)的图象与性质</category><category id=\"81774\" type=\"0\">3.4.2 函数y=Asin(ωx+φ)的图象与性质</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82202\" type=\"0\">高一下册</category><category id=\"82203\" type=\"0\">第四章 三角函数</category><category id=\"82207\" type=\"0\">三 三角函数的图象和性质</category><category id=\"82217\" type=\"0\">4.9 函数y=Asin（ωx+φ）的图象</category></item><item><category id=\"134949\" type=\"0\">人教A版（2019）</category><category id=\"135303\" type=\"0\">必修（第一册）</category><category id=\"135313\" type=\"0\">第五章 三角函数</category><category id=\"135383\" type=\"0\">5.6 函数y=Asin(ωx +φ)</category><category id=\"145231\" type=\"0\">5.6.2 函数y=Asin(ωx +φ)的图象</category></item><item><category id=\"149368\" type=\"0\">湘教版（2019）</category><category id=\"149385\" type=\"0\">必修（第一册）</category><category id=\"149390\" type=\"0\">第5章 三角函数</category><category id=\"149412\" type=\"0\">5.4 函数y=Asin（wx+φ）的图象与性质</category></item>","ChildNum":1,"Time":"2019-04-28T06:37:32","QuesBody":"<div>【题文】如图是函数<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/0ffcfee7-903c-43f1-af42-6e445be27b14/paper.files/image001.png\" alt=\"eqIdf4053e10b76c4ae4986aae45481abc01\">（<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/0ffcfee7-903c-43f1-af42-6e445be27b14/paper.files/image002.png\" alt=\"eqId6fc94f6e181444c6b809fb393eb8fae6\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/0ffcfee7-903c-43f1-af42-6e445be27b14/paper.files/image003.png\" alt=\"eqId0c10827df4214807ac8d1bda56ba2323\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/0ffcfee7-903c-43f1-af42-6e445be27b14/paper.files/image004.png\" alt=\"eqId8ccf61601cf049d8a2100ee27d5b2419\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/0ffcfee7-903c-43f1-af42-6e445be27b14/paper.files/image005.png\" alt=\"eqIdfbb0de223dd441e6bb68726e7a807fc6\">）在区间<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/0ffcfee7-903c-43f1-af42-6e445be27b14/paper.files/image006.png\" alt=\"eqId2452f69e2eb244909c674c7af307cb5e\">上的图象，为了得到这个函数的图象，只需将<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/0ffcfee7-903c-43f1-af42-6e445be27b14/paper.files/image007.png\" alt=\"eqId21418c9e87ef4f30af18655eb0f1785a\">（<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/0ffcfee7-903c-43f1-af42-6e445be27b14/paper.files/image002.png\" alt=\"eqId6fc94f6e181444c6b809fb393eb8fae6\">）的图象上的所有的点（ ）<br><img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/0ffcfee7-903c-43f1-af42-6e445be27b14/paper.files/image008.jpg\" alt=\"figure\"><table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"100%\">A．向左平移<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/0ffcfee7-903c-43f1-af42-6e445be27b14/paper.files/image009.png\" alt=\"eqId87a9bbb6dd564186905f2064b8c22182\">个长度单位，再把所得各点的横坐标变为原来的<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/0ffcfee7-903c-43f1-af42-6e445be27b14/paper.files/image010.png\" alt=\"eqIddb6b28cbd8a14caa9cf1146f6f7916c0\">，纵坐标不变</td></tr><tr><td width=\"100%\">B．向左平移<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/0ffcfee7-903c-43f1-af42-6e445be27b14/paper.files/image009.png\" alt=\"eqId87a9bbb6dd564186905f2064b8c22182\">个长度单位，再把所得各点的横坐标变为原来的2倍，纵坐标不变</td></tr><tr><td width=\"100%\">C．向左平移<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/0ffcfee7-903c-43f1-af42-6e445be27b14/paper.files/image011.png\" alt=\"eqIdd3e88ecbd2db456396e01302a43b93d9\">个长度单位，再把所得各点的横坐标变为原来的<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/0ffcfee7-903c-43f1-af42-6e445be27b14/paper.files/image010.png\" alt=\"eqIddb6b28cbd8a14caa9cf1146f6f7916c0\">，纵坐标不变</td></tr><tr><td width=\"100%\">D．向左平移<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/0ffcfee7-903c-43f1-af42-6e445be27b14/paper.files/image011.png\" alt=\"eqIdd3e88ecbd2db456396e01302a43b93d9\">个长度单位，再把所得各点的横坐标变为原来的2倍，纵坐标不变</td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":487,"AvgScore":5.0,"ParseAnswerKey":"4d18e8108a21b4d8e2577078e9017cb8","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0}]},{"ID":5829726,"Guid":"dfe482de-2036-47e0-ae8c-03173e97752b","Title":"山东省烟台市实验中学2018届高三上学期第三次诊断考试文科数学试题","From":"","Knowledge":"","QuesType":{"ID":2701,"Name":"单选题","IsSelectType":true,"OrderIndex":2,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27929\" type=\"1\">平面向量</category><category id=\"28574\" type=\"1\">平面向量的数量积</category><category id=\"28619\" type=\"1\">平面向量数量积的运算</category><category id=\"28624\" type=\"1\">数量积的运算律</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27929\" type=\"1\">平面向量</category><category id=\"28574\" type=\"1\">平面向量的数量积</category><category id=\"28619\" type=\"1\">平面向量数量积的运算</category><category id=\"28627\" type=\"1\">垂直关系的向量表示</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79370\" type=\"0\">必修4</category><category id=\"79372\" type=\"0\">第二章 平面向量</category><category id=\"79400\" type=\"0\">§5 从力做的功到向量的数量积</category></item><item><category id=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79821\" type=\"0\">高二第一学期</category><category id=\"79823\" type=\"0\">第八章 平面向量的坐标表示</category><category id=\"79832\" type=\"0\">8.2 向量的数量积</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80028\" type=\"0\">必修4</category><category id=\"80030\" type=\"0\">第二章 平面向量</category><category id=\"80050\" type=\"0\">2.4 平面向量的数量积</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80028\" type=\"0\">必修4</category><category id=\"80030\" type=\"0\">第二章 平面向量</category><category id=\"80050\" type=\"0\">2.4 平面向量的数量积</category><category id=\"80064\" type=\"0\">2.4.2 平面向量数量积的坐标表示、模、夹角</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80624\" type=\"0\">必修4</category><category id=\"80626\" type=\"0\">第二章 平面向量</category><category id=\"80644\" type=\"0\">2.3 平面向量的数量积</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80624\" type=\"0\">必修4</category><category id=\"80626\" type=\"0\">第二章 平面向量</category><category id=\"80644\" type=\"0\">2.3 平面向量的数量积</category><category id=\"80656\" type=\"0\">2.3.2 向量数量积的运算律</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81103\" type=\"0\">必修4</category><category id=\"81105\" type=\"0\">第2章 平面向量</category><category id=\"81124\" type=\"0\">2.4 向量的数量积</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81565\" type=\"0\">高中二年级第一学期</category><category id=\"81567\" type=\"0\">第8章 平面向量的坐标表示</category><category id=\"81586\" type=\"0\">8.2 向量的数量积</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81756\" type=\"0\">必修第二册</category><category id=\"81758\" type=\"0\">第4章 向量</category><category id=\"81780\" type=\"0\">4.5 向量的数量积</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81756\" type=\"0\">必修第二册</category><category id=\"81758\" type=\"0\">第4章 向量</category><category id=\"81780\" type=\"0\">4.5 向量的数量积</category><category id=\"81783\" type=\"0\">4.5.1 向量的数量积</category></item>","ChildNum":1,"Time":"2018-01-01T03:09:10","QuesBody":"<div>【题文】已知不共线的两个向量<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/07/f8cef9e3-8529-4ff3-b487-063db6461481/paper.files/image001.png\" alt=\"eqIdf087b35a5011425daaafbf14a5e61064\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/07/f8cef9e3-8529-4ff3-b487-063db6461481/paper.files/image002.png\" alt=\"eqId5f16eb46594d47b58ffc973b5cc2dd0d\">满足<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/07/f8cef9e3-8529-4ff3-b487-063db6461481/paper.files/image003.png\" alt=\"eqId9fa2f9e398574343822626159feb381f\">，且<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/07/f8cef9e3-8529-4ff3-b487-063db6461481/paper.files/image004.png\" alt=\"eqId2714c63e7914400093f859584245a282\">，则<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/07/f8cef9e3-8529-4ff3-b487-063db6461481/paper.files/image005.png\" alt=\"eqIdcf80a40bfc2f4bd8835b90c6abbf2d9f\">（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/07/f8cef9e3-8529-4ff3-b487-063db6461481/paper.files/image006.png\" alt=\"eqId65021072e3ee4edc934739d219c8c5e2\"></td><td width=\"25%\">B．2</td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/07/f8cef9e3-8529-4ff3-b487-063db6461481/paper.files/image007.png\" alt=\"eqId2644c4fd7d684e75ae5ed93cb3581244\"></td><td width=\"25%\">D．4</td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":552,"AvgScore":5.0,"ParseAnswerKey":"574205cd4a34fc46b68b637939efa349","QuesAttribute":1,"QuesAttributes":{"ID":1,"Name":"知识点同步题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0},{"Id":457260,"PaperTitle":"重庆市第一中学2019届高三12月月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":500000,"PaperYear":2019,"PaperLevel":51,"AddTimeOn":"2019-01-18T18:06:49","SchoolId":61152,"MatchingDegree":0},{"Id":307493,"PaperTitle":"山东省济南外国语学校2018届高三1月月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":370000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2018-01-17T11:01:41","SchoolId":35677,"MatchingDegree":0},{"Id":298309,"PaperTitle":"山东省实验中学2018届高三上学期第三次诊断考试数学（理）试题","LearnGrade":12,"PaperType":3,"Province":370000,"PaperYear":2017,"PaperLevel":51,"AddTimeOn":"2018-01-01T03:21:11","SchoolId":35665,"MatchingDegree":0},{"Id":298308,"PaperTitle":"山东省烟台市实验中学2018届高三上学期第三次诊断考试文科数学试题","LearnGrade":12,"PaperType":3,"Province":370000,"PaperYear":2017,"PaperLevel":51,"AddTimeOn":"2018-01-01T03:08:16","SchoolId":35665,"MatchingDegree":0}]},{"ID":7968345,"Guid":"f0d3a54b-d18b-452b-a57e-d05d4a37fe53","Title":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","From":"","Knowledge":"","QuesType":{"ID":2701,"Name":"单选题","IsSelectType":true,"OrderIndex":2,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27926\" type=\"1\">集合与常用逻辑用语</category><category id=\"27943\" type=\"1\">常用逻辑用语</category><category id=\"27986\" type=\"1\">充分条件与必要条件</category><category id=\"28003\" type=\"1\">充要条件</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79458\" type=\"0\">选修1-1</category><category id=\"79459\" type=\"0\">第一章 常用逻辑用语</category><category id=\"79465\" type=\"0\">§2 充分条件与必要条件</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79458\" type=\"0\">选修1-1</category><category id=\"79459\" type=\"0\">第一章 常用逻辑用语</category><category id=\"79465\" type=\"0\">§2 充分条件与必要条件</category><category id=\"79469\" type=\"0\">2.1 充分条件与必要条件</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79458\" type=\"0\">选修1-1</category><category id=\"79459\" type=\"0\">第一章 常用逻辑用语</category><category id=\"79465\" type=\"0\">§2 充分条件与必要条件</category><category id=\"79471\" type=\"0\">2.3 充要条件与性质定理</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79458\" type=\"0\">选修1-1</category><category id=\"79459\" type=\"0\">第一章 常用逻辑用语</category><category id=\"79465\" type=\"0\">§2 充分条件与必要条件</category><category id=\"79472\" type=\"0\">2.4 充要条件</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79540\" type=\"0\">选修2-1</category><category id=\"79541\" type=\"0\">第一章 常用逻辑用语</category><category id=\"79546\" type=\"0\">§2 充分条件与必要条件</category><category id=\"79550\" type=\"0\">2.1 充分条件与必要条件</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79540\" type=\"0\">选修2-1</category><category id=\"79541\" type=\"0\">第一章 常用逻辑用语</category><category id=\"79546\" type=\"0\">§2 充分条件与必要条件</category><category id=\"79553\" type=\"0\">2.4 充要条件</category></item><item><category id=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79776\" type=\"0\">高一第一学期</category><category id=\"79777\" type=\"0\">第1章 集合和命题</category><category id=\"79786\" type=\"0\">1.5 充分条件，必要条件</category></item><item><category id=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79776\" type=\"0\">高一第一学期</category><category id=\"79777\" type=\"0\">第1章 集合和命题</category><category id=\"79787\" type=\"0\">1.6 子集与推出关系</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80101\" type=\"0\">选修1-1</category><category id=\"80102\" type=\"0\">第一章 常用逻辑用语</category><category id=\"80107\" type=\"0\">1.2 充分条件与必要条件</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80101\" type=\"0\">选修1-1</category><category id=\"80102\" type=\"0\">第一章 常用逻辑用语</category><category id=\"80107\" type=\"0\">1.2 充分条件与必要条件</category><category id=\"80114\" type=\"0\">1.2.1 充分条件与必要条件</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80101\" type=\"0\">选修1-1</category><category 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集合与逻辑</category><category id=\"149394\" type=\"0\">1.2 常用逻辑用语</category><category id=\"149527\" type=\"0\">1.2.2 充分条件和必要条件</category></item><item><category id=\"136156\" type=\"0\">人教B版（2019）</category><category id=\"136247\" type=\"0\">必修（第一册）</category><category id=\"150376\" type=\"0\">第一章 集合与常用逻辑用语</category><category id=\"150381\" type=\"0\">1.2 常用逻辑用语</category><category id=\"150384\" type=\"0\">1.2.3 充分条件、必要条件</category></item>","ChildNum":1,"Time":"2019-04-28T06:37:33","QuesBody":"<div>【题文】已知<i>O</i>，<i>A</i>，<i>B</i>，<i>C</i>是不同的四个点，且<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/f521f219-5537-49e1-9d80-410a0ba189c2/paper.files/image001.png\" alt=\"eqId1c11253fe14742a8ad8338b22ec1ec2e\">，则“<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/f521f219-5537-49e1-9d80-410a0ba189c2/paper.files/image002.png\" alt=\"eqId395f1b121e02437cbd3d459679307205\">”是“<i>A</i>，<i>B</i>，<i>C</i>共线”的（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"50%\">A．充分不必要条件</td><td width=\"50%\">B．必要不充分条件</td></tr><tr><td width=\"50%\">C．充要条件</td><td width=\"50%\">D．既不充分也不必要条件</td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":167,"AvgScore":5.0,"ParseAnswerKey":"f2947590cc77bd714a9f5101aef00772","QuesAttribute":3,"QuesAttributes":{"ID":3,"Name":"跨章节综合题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0}]},{"ID":7968346,"Guid":"7bc6d492-18b5-4d9e-974c-a7aa1b8ea76f","Title":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","From":"","Knowledge":"","QuesType":{"ID":2701,"Name":"单选题","IsSelectType":true,"OrderIndex":2,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27934\" type=\"1\">计数原理与概率统计</category><category id=\"29369\" type=\"1\">概率</category><category id=\"29554\" type=\"1\">几何概型</category><category id=\"29599\" type=\"1\">几何概型计算公式</category><category id=\"29604\" type=\"1\">几何概型-面积型</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79332\" type=\"0\">必修3</category><category id=\"79335\" type=\"0\">第三章 概率</category><category id=\"79363\" type=\"0\">§3 模拟方法——概率的应用</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"79992\" type=\"0\">必修3</category><category id=\"79995\" type=\"0\">第三章 概率</category><category id=\"80019\" type=\"0\">3.3 几何概型</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"79992\" type=\"0\">必修3</category><category id=\"79995\" type=\"0\">第三章 概率</category><category id=\"80019\" type=\"0\">3.3 几何概型</category><category id=\"80026\" type=\"0\">3.3.1 几何概型</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80584\" type=\"0\">必修3</category><category id=\"80587\" type=\"0\">第三章 概率</category><category id=\"80614\" type=\"0\">3.4 概率的应用</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80584\" type=\"0\">必修3</category><category id=\"80587\" type=\"0\">第三章 概率</category><category id=\"80613\" type=\"0\">3.3 随机数的含义与应用</category><category id=\"80622\" type=\"0\">3.3.1 几何概型</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81066\" type=\"0\">必修3</category><category id=\"81069\" type=\"0\">第3章 概率</category><category id=\"81098\" type=\"0\">3.3 几何概型</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81837\" type=\"0\">必修第五册</category><category id=\"81840\" type=\"0\">第13章 概率</category><category id=\"81871\" type=\"0\">13.2 概率及其应用</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81837\" type=\"0\">必修第五册</category><category id=\"81840\" type=\"0\">第13章 概率</category><category id=\"81871\" type=\"0\">13.2 概率及其应用</category><category id=\"81877\" type=\"0\">13.2.2 几何概率</category></item>","ChildNum":1,"Time":"2019-04-28T06:37:33","QuesBody":"<div>【题文】我国魏晋时期数学家刘徽于公元263年撰写《九章算术注》．这篇注记内提出了数学史上著名的“割圆术”．在“割圆术”中，用到了下图（圆内接一个正六边形），如果我们在该圆中任取一点，则该点落在弓形内的概率为（ ）<br><img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/39f0216b-2119-4d3b-b621-7e433ad192c7/paper.files/image001.jpg\" alt=\"figure\"><table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/39f0216b-2119-4d3b-b621-7e433ad192c7/paper.files/image002.png\" alt=\"eqId0c39380150fd4982bf778536f8f50c82\"></td><td width=\"25%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/39f0216b-2119-4d3b-b621-7e433ad192c7/paper.files/image003.png\" alt=\"eqIdac1a7d77bd694ebdb23048eb2101513e\"></td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/39f0216b-2119-4d3b-b621-7e433ad192c7/paper.files/image004.png\" alt=\"eqId580399a6d2964de1a545c8129423961a\"></td><td width=\"25%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/39f0216b-2119-4d3b-b621-7e433ad192c7/paper.files/image005.png\" alt=\"eqId3136c87e389e45cfba4d8648cf2c2134\"></td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":149,"AvgScore":5.0,"ParseAnswerKey":"06739b7ec49853f2d24a84d2a44f6817","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0}]},{"ID":7968347,"Guid":"d94db4cb-86d0-4ad9-b605-58bbf1d1a450","Title":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","From":"","Knowledge":"","QuesType":{"ID":2701,"Name":"单选题","IsSelectType":true,"OrderIndex":2,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27933\" type=\"1\">平面解析几何</category><category id=\"29045\" 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type=\"0\">选修1-1</category><category id=\"81880\" type=\"0\">第2章 圆锥曲线与方程</category><category id=\"81892\" type=\"0\">2.2 双曲线</category><category id=\"81898\" type=\"0\">2.2.1 双曲线的定义与标准方程</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81945\" type=\"0\">选修2-1</category><category id=\"81947\" type=\"0\">第2章 圆锥曲线与方程</category><category id=\"81959\" type=\"0\">2.2 双曲线</category><category id=\"81966\" type=\"0\">2.2.1 双曲线的定义与标准方程</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82287\" type=\"0\">高二上册</category><category id=\"82290\" type=\"0\">第八章 圆锥曲线方程</category><category id=\"82312\" type=\"0\">8.3 双曲线及其标准方程</category></item>","ChildNum":1,"Time":"2019-04-28T06:37:34","QuesBody":"<div>【题文】已知<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/50414ad9-c7a2-432f-b86f-d15dd25ae853/paper.files/image001.png\" alt=\"eqId0aa72756ed0c4c7a89f26aa94f43e47d\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/50414ad9-c7a2-432f-b86f-d15dd25ae853/paper.files/image002.png\" alt=\"eqIdde963a24921f4ee7a991bf9d4f43a42e\">是双曲线<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/50414ad9-c7a2-432f-b86f-d15dd25ae853/paper.files/image003.png\" alt=\"eqId3327c113c43b4f7191d1fa2c69c46c60\">(<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/50414ad9-c7a2-432f-b86f-d15dd25ae853/paper.files/image004.png\" alt=\"eqId982da3835b7946d999cc8604a2ece266\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/50414ad9-c7a2-432f-b86f-d15dd25ae853/paper.files/image005.png\" alt=\"eqId8164502d09d44990ac4f2f73ea67e37a\">)的左、右焦点，过<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/50414ad9-c7a2-432f-b86f-d15dd25ae853/paper.files/image001.png\" alt=\"eqId0aa72756ed0c4c7a89f26aa94f43e47d\">的直线<i>l</i>与双曲线的左支交于点<i>A</i>，与右支交于点<i>B</i>，若<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/50414ad9-c7a2-432f-b86f-d15dd25ae853/paper.files/image006.png\" alt=\"eqId5ecd821a147c47f1a022598e720a4bcc\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/50414ad9-c7a2-432f-b86f-d15dd25ae853/paper.files/image007.png\" alt=\"eqId0b779503895e43fa99927aa821ae9e42\">，则<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/50414ad9-c7a2-432f-b86f-d15dd25ae853/paper.files/image008.png\" alt=\"eqIddfe649c71ed646e99b6510cb6818c701\">（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．1</td><td width=\"25%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/50414ad9-c7a2-432f-b86f-d15dd25ae853/paper.files/image009.png\" alt=\"eqIddb6b28cbd8a14caa9cf1146f6f7916c0\"></td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/50414ad9-c7a2-432f-b86f-d15dd25ae853/paper.files/image010.png\" alt=\"eqIda8012d5322b240128851ebf3cd086e12\"></td><td width=\"25%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/50414ad9-c7a2-432f-b86f-d15dd25ae853/paper.files/image011.png\" alt=\"eqId5f51ce9cc7fe4412baeb871cceb26665\"></td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":306,"AvgScore":5.0,"ParseAnswerKey":"2afca975c4446df892215c4c44e5358c","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0}]},{"ID":7968348,"Guid":"b008b7e2-0721-4ca1-9687-7a68938cff74","Title":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","From":"","Knowledge":"","QuesType":{"ID":2701,"Name":"单选题","IsSelectType":true,"OrderIndex":2,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27932\" type=\"1\">空间向量与立体几何</category><category id=\"28804\" type=\"1\">空间几何体</category><category id=\"28810\" type=\"1\">空间几何体的表面积与体积</category><category id=\"28877\" type=\"1\">组合体的表面积和体积</category><category id=\"28893\" type=\"1\">多面体与球体内切外接问题</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79292\" type=\"0\">必修2</category><category id=\"79293\" type=\"0\">第一章 立体几何初步</category><category id=\"79296\" type=\"0\">§1 简单几何体</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79292\" type=\"0\">必修2</category><category id=\"79293\" type=\"0\">第一章 立体几何初步</category><category id=\"79302\" type=\"0\">§7 简单几何体的再认识</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79292\" type=\"0\">必修2</category><category id=\"79293\" type=\"0\">第一章 立体几何初步</category><category id=\"79302\" type=\"0\">§7 简单几何体的再认识</category><category id=\"79315\" type=\"0\">7.2 柱、锥、台的体积</category></item><item><category id=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79868\" type=\"0\">高三第一学期</category><category id=\"79870\" type=\"0\">第十五章 简单几何体</category></item><item><category id=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79868\" type=\"0\">高三第一学期</category><category id=\"79870\" type=\"0\">第十五章 简单几何体</category><category id=\"79881\" type=\"0\">15.4 几何体的表面积</category></item><item><category id=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79868\" type=\"0\">高三第一学期</category><category id=\"79870\" type=\"0\">第十五章 简单几何体</category><category id=\"79882\" type=\"0\">15.5 几何体的体积</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"79935\" type=\"0\">必修2</category><category id=\"79936\" type=\"0\">第一章 空间几何体</category><category id=\"79943\" type=\"0\">1.3 空间几何体的表面积与体积</category><category id=\"79950\" type=\"0\">1.3.1 柱体、锥体、台体的表面积与体积</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80550\" type=\"0\">必修2</category><category id=\"80551\" type=\"0\">第一章 立体几何初步</category><category id=\"80556\" type=\"0\">本章复习与测试</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81033\" type=\"0\">必修2</category><category id=\"81034\" type=\"0\">第1章 立体几何初步</category><category id=\"81040\" type=\"0\">本章复习与测试</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81033\" type=\"0\">必修2</category><category id=\"81034\" type=\"0\">第1章 立体几何初步</category><category id=\"81039\" type=\"0\">1.3 空间几何体的表面积和体积</category><category id=\"81049\" type=\"0\">1.3.1 空间几何体的表面积</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81033\" type=\"0\">必修2</category><category id=\"81034\" type=\"0\">第1章 立体几何初步</category><category id=\"81039\" type=\"0\">1.3 空间几何体的表面积和体积</category><category id=\"81050\" type=\"0\">1.3.2 空间几何体的体积</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81792\" type=\"0\">必修第三册</category><category id=\"81793\" type=\"0\">第6章 立体几何初步</category><category id=\"81796\" type=\"0\">6.1 空间的几何体</category><category id=\"81801\" type=\"0\">6.1.3 面积和体积公式</category></item>","ChildNum":1,"Time":"2019-04-28T06:37:34","QuesBody":"<div>【题文】已知正方形<i>ABCD</i>的边长为4，<i>E</i>，<i>F</i>分别是<i>BC</i>，<i>CD</i>的中点，沿<i>AE</i>，<i>EF</i>，<i>AF</i>折成一个三棱锥<i>P-AEF</i>（使<i>B</i>，<i>C</i>，<i>D</i>重合于<i>P</i>），三棱锥<i>P-AEF</i>的外接球表面积为（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/b0cc9b5a-b988-48bf-80ad-46d9e4b2c734/paper.files/image001.png\" alt=\"eqId9d1a6fc5b77c428fa86d41d660efa327\"></td><td width=\"25%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/b0cc9b5a-b988-48bf-80ad-46d9e4b2c734/paper.files/image002.png\" alt=\"eqIdfceb10da8b63490dae4fdc016cf362d8\"></td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/b0cc9b5a-b988-48bf-80ad-46d9e4b2c734/paper.files/image003.png\" alt=\"eqIde36506e829e6480e9753236520e2af52\"></td><td width=\"25%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/b0cc9b5a-b988-48bf-80ad-46d9e4b2c734/paper.files/image004.png\" alt=\"eqIdb551f4626871457487ee184191b148bd\"></td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":176,"AvgScore":5.0,"ParseAnswerKey":"979303b839be860b9f9f9cb0a0bc326e","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0}]},{"ID":7968349,"Guid":"51aac576-08f8-4509-a0fb-8f87fe64fe3b","Title":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","From":"","Knowledge":"","QuesType":{"ID":2701,"Name":"单选题","IsSelectType":true,"OrderIndex":2,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27929\" type=\"1\">平面向量</category><category id=\"28574\" type=\"1\">平面向量的数量积</category><category id=\"28619\" type=\"1\">平面向量数量积的运算</category><category id=\"28623\" type=\"1\">用定义求向量的数量积</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79370\" type=\"0\">必修4</category><category id=\"79372\" type=\"0\">第二章 平面向量</category><category id=\"79400\" type=\"0\">§5 从力做的功到向量的数量积</category></item><item><category id=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79821\" type=\"0\">高二第一学期</category><category id=\"79823\" type=\"0\">第八章 平面向量的坐标表示</category><category id=\"79832\" type=\"0\">8.2 向量的数量积</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80028\" type=\"0\">必修4</category><category id=\"80030\" type=\"0\">第二章 平面向量</category><category id=\"80050\" type=\"0\">2.4 平面向量的数量积</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80028\" type=\"0\">必修4</category><category id=\"80030\" type=\"0\">第二章 平面向量</category><category id=\"80050\" type=\"0\">2.4 平面向量的数量积</category><category id=\"80064\" type=\"0\">2.4.2 平面向量数量积的坐标表示、模、夹角</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80624\" type=\"0\">必修4</category><category id=\"80626\" type=\"0\">第二章 平面向量</category><category id=\"80644\" type=\"0\">2.3 平面向量的数量积</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80624\" type=\"0\">必修4</category><category id=\"80626\" type=\"0\">第二章 平面向量</category><category id=\"80644\" type=\"0\">2.3 平面向量的数量积</category><category id=\"80656\" type=\"0\">2.3.2 向量数量积的运算律</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81103\" type=\"0\">必修4</category><category id=\"81105\" type=\"0\">第2章 平面向量</category><category id=\"81124\" type=\"0\">2.4 向量的数量积</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81565\" type=\"0\">高中二年级第一学期</category><category id=\"81567\" type=\"0\">第8章 平面向量的坐标表示</category><category id=\"81586\" type=\"0\">8.2 向量的数量积</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81756\" type=\"0\">必修第二册</category><category id=\"81758\" type=\"0\">第4章 向量</category><category id=\"81780\" type=\"0\">4.5 向量的数量积</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81756\" type=\"0\">必修第二册</category><category id=\"81758\" type=\"0\">第4章 向量</category><category id=\"81780\" type=\"0\">4.5 向量的数量积</category><category id=\"81783\" type=\"0\">4.5.1 向量的数量积</category></item>","ChildNum":1,"Time":"2019-04-28T06:37:35","QuesBody":"<div>【题文】<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/fa18813a-f079-46b7-a8c6-955d68fbdd36/paper.files/image001.png\" alt=\"eqId64b9b599fdb6481e9f8d9a94c102300b\">中，<i>A</i>，<i>B</i>，<i>C</i>的对边分别记<i>a</i>，<i>b</i>，<i>c</i>，若<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/fa18813a-f079-46b7-a8c6-955d68fbdd36/paper.files/image002.png\" alt=\"eqId2ee00049141545c58d65cff7f17f455c\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/fa18813a-f079-46b7-a8c6-955d68fbdd36/paper.files/image003.png\" alt=\"eqIda6ac350ad72146fa93e427c69ba3cfbb\">，<i>BC</i>边上的中线<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/fa18813a-f079-46b7-a8c6-955d68fbdd36/paper.files/image004.png\" alt=\"eqId6029b7edc4f4466baac844f5198030bf\">，则<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/fa18813a-f079-46b7-a8c6-955d68fbdd36/paper.files/image005.png\" alt=\"eqIdf6e5f236ac0e41119cc6bcac7018660d\">（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．15</td><td width=\"25%\">B．-15</td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/fa18813a-f079-46b7-a8c6-955d68fbdd36/paper.files/image006.png\" alt=\"eqId25442d2465094afa86b8351c10b8bd9d\"></td><td width=\"25%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/fa18813a-f079-46b7-a8c6-955d68fbdd36/paper.files/image007.png\" alt=\"eqIddf45edf14c8d4ccf89cb930a3f55c9e3\"></td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":339,"AvgScore":5.0,"ParseAnswerKey":"7aeb50f09faa07d9f523fe2a729fd00b","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0}]},{"ID":7968350,"Guid":"5f125213-6832-4789-9371-aeed7b59072a","Title":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","From":"","Knowledge":"","QuesType":{"ID":2701,"Name":"单选题","IsSelectType":true,"OrderIndex":2,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":3,"DifValue":0.65,"Name":"一般"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27927\" type=\"1\">函数与导数</category><category id=\"28040\" type=\"1\">函数及其性质</category><category id=\"28048\" type=\"1\">函数的基本性质</category><category id=\"28084\" type=\"1\">函数的单调性</category><category id=\"28093\" type=\"1\">根据函数的单调性求参数值</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27927\" type=\"1\">函数与导数</category><category id=\"28044\" type=\"1\">导数及其应用</category><category id=\"28257\" type=\"1\">导数的概念和几何意义</category><category id=\"28263\" type=\"1\">导数的几何意义</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79244\" type=\"0\">必修1</category><category id=\"79246\" type=\"0\">第二章 函数</category><category id=\"79258\" type=\"0\">§3 函数的单调性</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79458\" type=\"0\">选修1-1</category><category id=\"79462\" type=\"0\">第四章 导数应用</category><category id=\"79498\" type=\"0\">§1 函数的单调性与极值</category><category id=\"79502\" type=\"0\">1.2 函数的极值</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79587\" type=\"0\">选修2-2</category><category id=\"79590\" type=\"0\">第三章 导数应用</category><category id=\"79613\" type=\"0\">§1 函数的单调性与极值</category><category id=\"79617\" type=\"0\">1.2 函数的极值</category></item><item><category id=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79776\" type=\"0\">高一第一学期</category><category id=\"79779\" type=\"0\">第3章 函数的基本性质</category></item><item><category id=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79776\" type=\"0\">高一第一学期</category><category id=\"79779\" type=\"0\">第3章 函数的基本性质</category><category id=\"79798\" type=\"0\">3.4 函数的基本性质</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"79904\" type=\"0\">必修1</category><category id=\"79905\" type=\"0\">第一章 集合与函数概念</category><category id=\"79911\" type=\"0\">1.3 函数的基本性质</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"79904\" type=\"0\">必修1</category><category id=\"79905\" type=\"0\">第一章 集合与函数概念</category><category id=\"79911\" type=\"0\">1.3 函数的基本性质</category><category id=\"79918\" type=\"0\">1.3.1 单调性与最大（小）值</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80101\" type=\"0\">选修1-1</category><category id=\"80104\" type=\"0\">第三章 导数及其应用</category><category id=\"80134\" type=\"0\">3.3 导数在研究函数中的应用</category><category id=\"80143\" type=\"0\">3.3.2 函数的极值与导数</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80101\" type=\"0\">选修1-1</category><category id=\"80104\" type=\"0\">第三章 导数及其应用</category><category id=\"80134\" type=\"0\">3.3 导数在研究函数中的应用</category><category id=\"80144\" type=\"0\">3.3.3 函数的最大（小）值与导数</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80213\" type=\"0\">选修2-2</category><category id=\"80214\" type=\"0\">第一章 导数及其应用</category><category id=\"80220\" type=\"0\">1.3 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type=\"0\">必修1</category><category id=\"81007\" type=\"0\">第2章 函数</category><category id=\"81015\" type=\"0\">2.2 函数的简单性质</category><category id=\"81020\" type=\"0\">2.2.1 函数的单调性</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81167\" type=\"0\">选修1-1</category><category id=\"81170\" type=\"0\">第3章 导数及其应用</category><category id=\"81194\" type=\"0\">3.3 导数在研究函数中的应用</category><category id=\"81202\" type=\"0\">3.3.2 极大值与极小值</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81268\" type=\"0\">选修2-2</category><category id=\"81269\" type=\"0\">第1章 导数及其应用</category><category id=\"81275\" type=\"0\">1.3 导数在研究函数中的应用</category><category id=\"81285\" type=\"0\">1.3.2 极大值与极小值</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81486\" type=\"0\">高中一年级第一学期</category><category id=\"81489\" type=\"0\">第3章 函数的基本性质</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category 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src=\"Upload/2019-09/25/df4b4067-4936-4e98-ba2e-5fd779b7875c/paper.files/image006.png\" alt=\"eqIde674b3d5cf7b4dc7a43f68f76ee77bc0\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/df4b4067-4936-4e98-ba2e-5fd779b7875c/paper.files/image007.png\" alt=\"eqId79b8d6e808a54422a25621c725cf50f5\">，则下列关系式中正确的是（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/df4b4067-4936-4e98-ba2e-5fd779b7875c/paper.files/image008.png\" alt=\"eqIdde23c9bee5f2497a98f967afa9b73a7a\"></td><td width=\"25%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/df4b4067-4936-4e98-ba2e-5fd779b7875c/paper.files/image009.png\" alt=\"eqId98df60d61acf40a38ea6e88af8316379\"></td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/df4b4067-4936-4e98-ba2e-5fd779b7875c/paper.files/image010.png\" alt=\"eqIde20b3cdceb054975bbbb3a4598602baf\"></td><td width=\"25%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/df4b4067-4936-4e98-ba2e-5fd779b7875c/paper.files/image011.png\" alt=\"eqId2cf6c501fcaf451c89bbbe8a7b5da7ad\"></td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":371,"AvgScore":5.0,"ParseAnswerKey":"9d4ff6d5806ff94a1a16b4ed9adbea1f","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0}]},{"ID":7968351,"Guid":"b00d75ca-fa13-489c-9354-533fc3f4081b","Title":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","From":"","Knowledge":"","QuesType":{"ID":2702,"Name":"填空题","IsSelectType":false,"OrderIndex":3,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":1,"DifValue":0.94,"Name":"容易"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27927\" type=\"1\">函数与导数</category><category id=\"28040\" 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alt=\"eqIdc06d3fd4296a4d548dd086f247770055\">的定义域为______</div>","QuesAnswer":"","QuesParse":"","UseSum":243,"AvgScore":5.0,"ParseAnswerKey":"e100de32382eb047734e1e69418e9add","QuesAttribute":1,"QuesAttributes":{"ID":1,"Name":"知识点同步题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0}]},{"ID":7819362,"Guid":"1fdf8db2-52ed-4ed0-9aa6-89d3c11fc23b","Title":"四川省泸州市2019届高三第二次教学质量诊断性考试数学（理）试题","From":"","Knowledge":"","QuesType":{"ID":2702,"Name":"填空题","IsSelectType":false,"OrderIndex":3,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":1,"DifValue":0.94,"Name":"容易"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27931\" type=\"1\">不等式</category><category id=\"28743\" type=\"1\">线性规划</category><category id=\"28771\" 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type=\"0\">高二上册</category><category id=\"82289\" type=\"0\">第七章 直线和圆的方程</category><category id=\"82303\" type=\"0\">7.4 简单的线性规划</category></item>","ChildNum":1,"Time":"2019-04-02T19:28:12","QuesBody":"<div>【题文】已知实数<img style=\"vertical-align:middle;\" src=\"Upload/2019-04/05/9d055fa4-4c1e-4ba9-b4c7-4063bc63a0eb/paper.files/image001.png\">满足约束条件<img style=\"vertical-align:middle;\" src=\"Upload/2019-04/05/9d055fa4-4c1e-4ba9-b4c7-4063bc63a0eb/paper.files/image002.png\">，则<img style=\"vertical-align:middle;\" 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type=\"1\">直线与方程</category><category id=\"29047\" type=\"1\">直线的方程</category><category id=\"29069\" type=\"1\">直线的一般式方程</category><category id=\"29084\" type=\"1\">直线过定点问题</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27933\" type=\"1\">平面解析几何</category><category id=\"29044\" type=\"1\">圆与方程</category><category id=\"29118\" type=\"1\">圆的方程</category><category id=\"29124\" type=\"1\">圆的几何性质</category><category id=\"29136\" type=\"1\">定点到圆上点的最值（范围）</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79292\" type=\"0\">必修2</category><category id=\"79294\" type=\"0\">第二章 解析几何初步</category><category id=\"79318\" type=\"0\">§2 圆与圆的方程</category><category id=\"79327\" type=\"0\">2.2 圆的一般方程</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79292\" type=\"0\">必修2</category><category id=\"79294\" type=\"0\">第二章 解析几何初步</category><category id=\"79318\" type=\"0\">§2 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type=\"0\">必修2</category><category id=\"80552\" type=\"0\">第二章 平面解析几何初步</category><category id=\"80569\" type=\"0\">2.3 圆的方程</category><category id=\"80581\" type=\"0\">2.3.4 圆与圆的位置关系</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81033\" type=\"0\">必修2</category><category id=\"81035\" type=\"0\">第2章 平面解析几何初步</category><category id=\"81052\" type=\"0\">2.2 圆与方程</category><category id=\"81063\" type=\"0\">2.2.3 圆与圆的位置关系</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81792\" type=\"0\">必修第三册</category><category id=\"81794\" type=\"0\">第7章 解析几何初步</category><category id=\"81807\" type=\"0\">7.3 圆与方程</category><category id=\"81816\" type=\"0\">7.3.2 圆的一般方程</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81792\" type=\"0\">必修第三册</category><category id=\"81794\" type=\"0\">第7章 解析几何初步</category><category id=\"81807\" type=\"0\">7.3 圆与方程</category><category id=\"81817\" type=\"0\">7.3.3 直线与圆、圆与圆的位置关系</category></item>","ChildNum":1,"Time":"2019-04-28T06:37:37","QuesBody":"<div>【题文】已知直线<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/052fae1e-df38-40b2-8009-f29bf0220a3a/paper.files/image001.png\" alt=\"eqId7b9f52f8186c44ed916075d0c2a952a0\">与圆<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/052fae1e-df38-40b2-8009-f29bf0220a3a/paper.files/image002.png\" alt=\"eqIdcfc8599bedfb4ab4944abf141f348a9a\">：<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/052fae1e-df38-40b2-8009-f29bf0220a3a/paper.files/image003.png\" alt=\"eqId72fabb1a33c1454890dc22ba70f49185\">相交于<i>A</i>，<i>B</i>两点，点<i>P</i>是圆<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/052fae1e-df38-40b2-8009-f29bf0220a3a/paper.files/image004.png\" alt=\"eqId3a63d00111554b9e8b896929779a293d\">：<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/052fae1e-df38-40b2-8009-f29bf0220a3a/paper.files/image005.png\" alt=\"eqIdaa864fdcbfb441cb9d13a8d26a865fc2\">上的动点，则<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/052fae1e-df38-40b2-8009-f29bf0220a3a/paper.files/image006.png\" alt=\"eqId1efce4fe353e494795a806b4b87f4b1a\">面积的最大值是______．</div>","QuesAnswer":"","QuesParse":"","UseSum":420,"AvgScore":5.0,"ParseAnswerKey":"4a1e1161a8de0d685f4103ba6244e876","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0}]},{"ID":7968353,"Guid":"913e815d-b91f-4055-ad9f-49702d242804","Title":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","From":"","Knowledge":"","QuesType":{"ID":2702,"Name":"填空题","IsSelectType":false,"OrderIndex":3,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":3,"DifValue":0.65,"Name":"一般"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27933\" type=\"1\">平面解析几何</category><category id=\"29045\" type=\"1\">圆锥曲线</category><category id=\"29174\" type=\"1\">直线与圆锥曲线的位置关系</category><category id=\"29312\" type=\"1\">抛物线中的定直线</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79458\" type=\"0\">选修1-1</category><category id=\"79460\" type=\"0\">第二章 圆锥曲线与方程</category><category id=\"79480\" type=\"0\">§2 抛物线</category><category id=\"79486\" type=\"0\">2.2 抛物线的简单性质</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79540\" type=\"0\">选修2-1</category><category id=\"79543\" type=\"0\">第三章 圆锥曲线与方程</category><category id=\"79574\" type=\"0\">§2 抛物线</category><category id=\"79581\" type=\"0\">2.2 抛物线的简单性质</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80101\" type=\"0\">选修1-1</category><category id=\"80103\" type=\"0\">第二章 圆锥曲线与方程</category><category id=\"80124\" type=\"0\">2.3 抛物线</category><category id=\"80131\" type=\"0\">2.3.2 抛物线的简单几何性质</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80171\" type=\"0\">选修2-1</category><category id=\"80173\" type=\"0\">第二章 圆锥曲线与方程</category><category id=\"80195\" type=\"0\">2.4 抛物线</category><category id=\"80204\" type=\"0\">2.4.2 抛物线的简单几何性质</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80699\" type=\"0\">选修1-1</category><category id=\"80701\" type=\"0\">第二章 圆锥曲线与方程</category><category id=\"80716\" type=\"0\">2.3 抛物线</category><category id=\"80723\" type=\"0\">2.3.2 抛物线的几何性质</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80763\" type=\"0\">选修2-1</category><category id=\"80765\" type=\"0\">第二章 圆锥曲线与方程</category><category id=\"80781\" type=\"0\">2.4 抛物线</category><category id=\"80791\" type=\"0\">2.4.2 抛物线的几何性质</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81167\" type=\"0\">选修1-1</category><category id=\"81169\" type=\"0\">第2章 圆锥曲线与方程</category><category id=\"81183\" type=\"0\">2.4 抛物线</category><category id=\"81191\" type=\"0\">2.4.2 抛物线的几何性质</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81228\" type=\"0\">选修2-1</category><category id=\"81230\" type=\"0\">第2章 圆锥曲线与方程</category><category id=\"81244\" type=\"0\">2.4 抛物线</category><category id=\"81253\" type=\"0\">2.4.2 抛物线的几何性质</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81605\" type=\"0\">高中二年级第二学期</category><category id=\"81607\" type=\"0\">第12章 圆锥曲线</category><category id=\"81624\" type=\"0\">12.8 抛物线的性质</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81878\" type=\"0\">选修1-1</category><category id=\"81880\" type=\"0\">第2章 圆锥曲线与方程</category><category id=\"81893\" type=\"0\">2.3 抛物线</category><category id=\"81901\" type=\"0\">2.3.2 抛物线的简单几何性质</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81945\" type=\"0\">选修2-1</category><category id=\"81947\" type=\"0\">第2章 圆锥曲线与方程</category><category id=\"81960\" type=\"0\">2.3 抛物线</category><category id=\"81969\" type=\"0\">2.3.2 抛物线的简单几何性质</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82287\" type=\"0\">高二上册</category><category id=\"82290\" type=\"0\">第八章 圆锥曲线方程</category><category id=\"82315\" type=\"0\">8.6 抛物线的简单几何性质</category></item>","ChildNum":1,"Time":"2019-04-28T06:37:37","QuesBody":"<div>【题文】已知抛物线<i>C</i>：<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/01/6ad5a5b4-3c2e-4cd0-bb3a-e31cb28cbfed/paper.files/image001.png\" alt=\"eqIdd050af449075401299cc78c647d310e8\">，焦点为<i>F</i>，过点<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/01/6ad5a5b4-3c2e-4cd0-bb3a-e31cb28cbfed/paper.files/image002.png\" alt=\"eqId68527e7fe86a4c4e900fa73cf2ac742f\">作斜率为<i>k</i>（<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/01/6ad5a5b4-3c2e-4cd0-bb3a-e31cb28cbfed/paper.files/image003.png\" alt=\"eqId4f5682ff18d8421ab17ef168f54ca081\">）的直线<i>l</i>与抛物线<i>C</i>交于<i>A</i>，<i>B</i>两点，连接<i>AF</i>，<i>BF</i>（<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/01/6ad5a5b4-3c2e-4cd0-bb3a-e31cb28cbfed/paper.files/image004.png\" alt=\"eqIda06c1f056791421f832e3b457670f177\">），若<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/01/6ad5a5b4-3c2e-4cd0-bb3a-e31cb28cbfed/paper.files/image005.png\" alt=\"eqId2a1633919fe245ab80097cff3a861f46\">，则<i>k</i>=______．</div>","QuesAnswer":"","QuesParse":"","UseSum":270,"AvgScore":5.0,"ParseAnswerKey":"01289d40fe3eeaa3d9bd2ec14e1e969f","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0}]},{"ID":7968354,"Guid":"62238ab0-8f9a-450f-87ee-f4090619335c","Title":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27930\" type=\"1\">数列</category><category id=\"28642\" type=\"1\">数列的概念与简单表示法</category><category id=\"28653\" type=\"1\">数列的通项公式</category><category id=\"28660\" type=\"1\">累加法求数列通项</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27930\" type=\"1\">数列</category><category id=\"28643\" type=\"1\">等差数列</category><category id=\"28666\" type=\"1\">等差数列及其通项公式</category><category id=\"28678\" type=\"1\">等差数列通项公式的基本量计算</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79422\" type=\"0\">必修5</category><category id=\"79423\" type=\"0\">第一章 数列</category><category id=\"79427\" type=\"0\">§1 数列</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79422\" type=\"0\">必修5</category><category id=\"79423\" type=\"0\">第一章 数列</category><category id=\"79428\" type=\"0\">§2 等差数列</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79422\" type=\"0\">必修5</category><category id=\"79423\" type=\"0\">第一章 数列</category><category id=\"79428\" type=\"0\">§2 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type=\"0\">苏教版</category><category id=\"81139\" type=\"0\">必修5</category><category id=\"81141\" type=\"0\">第2章 数列</category><category id=\"81148\" type=\"0\">2.1 数列</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81139\" type=\"0\">必修5</category><category id=\"81141\" type=\"0\">第2章 数列</category><category id=\"81149\" type=\"0\">2.2 等差数列</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81139\" type=\"0\">必修5</category><category id=\"81141\" type=\"0\">第2章 数列</category><category id=\"81149\" type=\"0\">2.2 等差数列</category><category id=\"81152\" type=\"0\">2.2.1 等差数列的概念</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81139\" type=\"0\">必修5</category><category id=\"81141\" type=\"0\">第2章 数列</category><category id=\"81149\" type=\"0\">2.2 等差数列</category><category id=\"81153\" type=\"0\">2.2.2 等差数列的通项公式</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81565\" type=\"0\">高中二年级第一学期</category><category id=\"81566\" type=\"0\">第7章 数列与数学归纳法</category><category id=\"81571\" type=\"0\">一 数列</category><category id=\"81575\" type=\"0\">7.1 数列</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81565\" type=\"0\">高中二年级第一学期</category><category id=\"81566\" type=\"0\">第7章 数列与数学归纳法</category><category id=\"81571\" type=\"0\">一 数列</category><category id=\"81576\" type=\"0\">7.2 等差数列</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81818\" type=\"0\">必修第四册</category><category id=\"81820\" type=\"0\">第9章 数列</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81818\" type=\"0\">必修第四册</category><category id=\"81820\" type=\"0\">第9章 数列</category><category id=\"81828\" type=\"0\">9.2 等差数列</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82159\" type=\"0\">高一上册</category><category id=\"82162\" type=\"0\">第三章 数列</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82159\" type=\"0\">高一上册</category><category id=\"82162\" type=\"0\">第三章 数列</category><category id=\"82193\" type=\"0\">3.1 数列</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82159\" type=\"0\">高一上册</category><category id=\"82162\" type=\"0\">第三章 数列</category><category id=\"82194\" type=\"0\">3.2 等差数列</category></item>","ChildNum":1,"Time":"2019-04-28T06:37:38","QuesBody":"<div>【题文】已知数列<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/baf06add-df06-408c-a24e-3ba1721415d7/paper.files/image001.png\" alt=\"eqId93e38ecd74a24cb59da79181b95bfd3a\">是等差数列，且<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/baf06add-df06-408c-a24e-3ba1721415d7/paper.files/image002.png\" alt=\"eqId6b3bee9535ff4888ab6548f65616e44b\">，数列<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/baf06add-df06-408c-a24e-3ba1721415d7/paper.files/image003.png\" alt=\"eqIdeeb4ca98872f4e6d91cea28f43fc0b63\">满足<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/baf06add-df06-408c-a24e-3ba1721415d7/paper.files/image004.png\" alt=\"eqIdd491cb953224472bab38f8797e4d14e7\">，且<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/baf06add-df06-408c-a24e-3ba1721415d7/paper.files/image005.png\" alt=\"eqIde80ad133937f490da46191df78aa6337\">．<br>（Ⅰ）求<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/baf06add-df06-408c-a24e-3ba1721415d7/paper.files/image006.png\" alt=\"eqId75691f28a5bb4c8287401017aa3a2d29\">的值；<br>（Ⅱ）求数列<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/baf06add-df06-408c-a24e-3ba1721415d7/paper.files/image003.png\" alt=\"eqIdeeb4ca98872f4e6d91cea28f43fc0b63\">的通项公式．</div>","QuesAnswer":"","QuesParse":"","UseSum":414,"AvgScore":5.0,"ParseAnswerKey":"14361867299af2a600f075119f59708e","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0}]},{"ID":7968355,"Guid":"ec59098a-43ad-49de-8ec7-cb1694ec58d7","Title":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":3,"DifValue":0.65,"Name":"一般"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27932\" type=\"1\">空间向量与立体几何</category><category id=\"28804\" type=\"1\">空间几何体</category><category id=\"28810\" type=\"1\">空间几何体的表面积与体积</category><category id=\"28875\" type=\"1\">柱、锥、台的体积</category><category id=\"28885\" type=\"1\">锥体体积的有关计算</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27932\" type=\"1\">空间向量与立体几何</category><category id=\"28805\" type=\"1\">点、直线、平面之间的位置关系</category><category id=\"28899\" type=\"1\">直线、平面平行的判定与性质</category><category id=\"28934\" type=\"1\">线面平行的判定</category><category id=\"28940\" type=\"1\">补全线面平行的条件</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79292\" type=\"0\">必修2</category><category id=\"79293\" type=\"0\">第一章 立体几何初步</category><category id=\"79296\" type=\"0\">§1 简单几何体</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79292\" type=\"0\">必修2</category><category id=\"79293\" type=\"0\">第一章 立体几何初步</category><category id=\"79300\" type=\"0\">§5 平行关系</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79292\" type=\"0\">必修2</category><category id=\"79293\" type=\"0\">第一章 立体几何初步</category><category id=\"79302\" type=\"0\">§7 简单几何体的再认识</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79292\" type=\"0\">必修2</category><category id=\"79293\" type=\"0\">第一章 立体几何初步</category><category id=\"79302\" type=\"0\">§7 简单几何体的再认识</category><category id=\"79315\" type=\"0\">7.2 柱、锥、台的体积</category></item><item><category id=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79868\" type=\"0\">高三第一学期</category><category id=\"79870\" type=\"0\">第十五章 简单几何体</category></item><item><category id=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79868\" type=\"0\">高三第一学期</category><category id=\"79870\" type=\"0\">第十五章 简单几何体</category><category id=\"79881\" type=\"0\">15.4 几何体的表面积</category></item><item><category id=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79868\" type=\"0\">高三第一学期</category><category id=\"79870\" type=\"0\">第十五章 简单几何体</category><category id=\"79882\" type=\"0\">15.5 几何体的体积</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"79935\" type=\"0\">必修2</category><category id=\"79936\" type=\"0\">第一章 空间几何体</category><category id=\"79943\" type=\"0\">1.3 空间几何体的表面积与体积</category><category id=\"79950\" type=\"0\">1.3.1 柱体、锥体、台体的表面积与体积</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"79935\" type=\"0\">必修2</category><category id=\"79937\" type=\"0\">第二章 点、直线、平面之间的位置关系</category><category id=\"79953\" type=\"0\">2.2 直线、平面平行的判定及其性质</category><category id=\"79960\" type=\"0\">2.2.1 直线与平面平行的判定</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"79935\" type=\"0\">必修2</category><category id=\"79937\" type=\"0\">第二章 点、直线、平面之间的位置关系</category><category id=\"79953\" type=\"0\">2.2 直线、平面平行的判定及其性质</category><category id=\"79962\" type=\"0\">2.2.3 直线与平面平行的性质</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80550\" type=\"0\">必修2</category><category id=\"80551\" type=\"0\">第一章 立体几何初步</category><category id=\"80555\" type=\"0\">1.2 点、线、面之间的位置关系</category><category id=\"80565\" type=\"0\">1.2.2 空间中的平行关系</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81033\" type=\"0\">必修2</category><category id=\"81034\" type=\"0\">第1章 立体几何初步</category><category id=\"81039\" type=\"0\">1.3 空间几何体的表面积和体积</category><category id=\"81049\" type=\"0\">1.3.1 空间几何体的表面积</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81033\" type=\"0\">必修2</category><category id=\"81034\" type=\"0\">第1章 立体几何初步</category><category id=\"81039\" type=\"0\">1.3 空间几何体的表面积和体积</category><category id=\"81050\" type=\"0\">1.3.2 空间几何体的体积</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81792\" type=\"0\">必修第三册</category><category id=\"81793\" type=\"0\">第6章 立体几何初步</category><category id=\"81797\" type=\"0\">6.2 空间的直线与平面</category><category id=\"81803\" type=\"0\">6.2.2 平行关系</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82319\" type=\"0\">高二下册</category><category id=\"82320\" type=\"0\">第九章 直线、平面、简单几何体</category><category id=\"82325\" type=\"0\">9.3 直线与平面平行的判定和性质</category></item>","ChildNum":1,"Time":"2019-04-28T06:37:39","QuesBody":"<div>【题文】如图，在四棱锥<i>P-ABCD</i>中，四边形<i>ABCD</i>是直角梯形，<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/f8595a8e-39bb-4368-bfc5-d0b307cf8ba0/paper.files/image001.png\" alt=\"eqId4b46138d17dd424d9da220501f290cf5\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/f8595a8e-39bb-4368-bfc5-d0b307cf8ba0/paper.files/image002.png\" alt=\"eqIdd2d13472f774470dab0e222999a85bb7\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/f8595a8e-39bb-4368-bfc5-d0b307cf8ba0/paper.files/image003.png\" alt=\"eqIdf07a1899b54f4459a873ce34539a8d12\">，<i>M</i>是棱<i>PC</i>上一点，且<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/f8595a8e-39bb-4368-bfc5-d0b307cf8ba0/paper.files/image004.png\" alt=\"eqIddfb9e0b6dd434d73bae78168765b61f5\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/f8595a8e-39bb-4368-bfc5-d0b307cf8ba0/paper.files/image005.png\" alt=\"eqId9289bd3adcf34873952449d69284c960\">平面<i>MBD</i>．<br>（1）求实数<i>λ</i>的值；<br>（2）若平面<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/f8595a8e-39bb-4368-bfc5-d0b307cf8ba0/paper.files/image006.png\" alt=\"eqId50f9e1a90cea490291f00ecc47b639c2\">平面<i>ABCD</i>，<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/f8595a8e-39bb-4368-bfc5-d0b307cf8ba0/paper.files/image007.png\" alt=\"eqIdef86fa83bd294177be84c0913ae275ec\">为等边三角形，且三棱锥<i>P-MBD</i>的体积为2，求<i>PA</i>的长．<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/f8595a8e-39bb-4368-bfc5-d0b307cf8ba0/paper.files/image008.png\" alt=\"figure\"></div>","QuesAnswer":"","QuesParse":"","UseSum":379,"AvgScore":5.0,"ParseAnswerKey":"33232419f4f9225b5e736bc154db42a3","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0}]},{"ID":6544767,"Guid":"12be438b-309a-4183-9457-3dfe1929fb34","Title":"河北省武邑中学2018届高三下学期第四次模拟考试数学（理）试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":3,"DifValue":0.65,"Name":"一般"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27933\" type=\"1\">平面解析几何</category><category id=\"29045\" type=\"1\">圆锥曲线</category><category id=\"29174\" type=\"1\">直线与圆锥曲线的位置关系</category><category id=\"29296\" type=\"1\">椭圆的弦长、焦点弦</category><category id=\"29319\" type=\"1\">椭圆中三角形（四边形）的面积</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79540\" type=\"0\">选修2-1</category><category id=\"79543\" type=\"0\">第三章 圆锥曲线与方程</category><category id=\"79576\" type=\"0\">§4 曲线与方程</category><category id=\"79586\" type=\"0\">4.3 直线与圆锥曲线的交点</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80171\" type=\"0\">选修2-1</category><category id=\"80173\" type=\"0\">第二章 圆锥曲线与方程</category><category id=\"80196\" type=\"0\">本章复习与测试</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80763\" type=\"0\">选修2-1</category><category id=\"80765\" type=\"0\">第二章 圆锥曲线与方程</category><category id=\"80782\" type=\"0\">2.5 直线与圆锥曲线</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81228\" type=\"0\">选修2-1</category><category id=\"81230\" type=\"0\">第2章 圆锥曲线与方程</category><category id=\"81246\" type=\"0\">2.6 曲线与方程</category><category id=\"81256\" type=\"0\">2.6.3 曲线的交点</category></item>","ChildNum":1,"Time":"2018-06-21T15:39:59","QuesBody":"<div>【题文】已知椭圆<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/02/0e7ec3f4-d925-40ad-b875-5d9458a8149b/paper.files/image001.png\" alt=\"eqIdcfc8599bedfb4ab4944abf141f348a9a\">：<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/02/0e7ec3f4-d925-40ad-b875-5d9458a8149b/paper.files/image002.png\" alt=\"eqId2d0f118102344b4f93e6dd4f9146d175\">(<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/02/0e7ec3f4-d925-40ad-b875-5d9458a8149b/paper.files/image003.png\" alt=\"eqIde9c1eda3dc0c4304868ea148d833743f\">)，<i>F</i>为左焦点，<i>A</i>为上顶点，<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/02/0e7ec3f4-d925-40ad-b875-5d9458a8149b/paper.files/image004.png\" alt=\"eqIdcd41fd5b7a704b179bf50c0dc7130d8b\">为右顶点，若<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/02/0e7ec3f4-d925-40ad-b875-5d9458a8149b/paper.files/image005.png\" alt=\"eqId7017b0aa612344bd86c74ff02386424c\">，抛物线<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/02/0e7ec3f4-d925-40ad-b875-5d9458a8149b/paper.files/image006.png\" alt=\"eqId3a63d00111554b9e8b896929779a293d\">的顶点在坐标原点，焦点为<i>F</i>．<br>（1）求<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/02/0e7ec3f4-d925-40ad-b875-5d9458a8149b/paper.files/image001.png\" alt=\"eqIdcfc8599bedfb4ab4944abf141f348a9a\">的标准方程；<br>（2）是否存在过<i>F</i>点的直线，与<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/02/0e7ec3f4-d925-40ad-b875-5d9458a8149b/paper.files/image001.png\" alt=\"eqIdcfc8599bedfb4ab4944abf141f348a9a\">和<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/02/0e7ec3f4-d925-40ad-b875-5d9458a8149b/paper.files/image006.png\" alt=\"eqId3a63d00111554b9e8b896929779a293d\">交点分别是<i>P</i>，<i>Q</i>和<i>M</i>，<i>N</i>，使得<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/02/0e7ec3f4-d925-40ad-b875-5d9458a8149b/paper.files/image007.png\" alt=\"eqIdbcb7d5983f664d35b53d3b964f21a90c\">？如果存在，求出直线的方程；如果不存在，请说明理由．</div>","QuesAnswer":"","QuesParse":"","UseSum":270,"AvgScore":5.0,"ParseAnswerKey":"0e04b886c785e7c63df415d15d87761d","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0},{"Id":366779,"PaperTitle":"河北省武邑中学2018届高三下学期第四次模拟考试数学（理）试题","LearnGrade":12,"PaperType":9,"Province":130000,"PaperYear":2018,"PaperLevel":62,"AddTimeOn":"2018-06-21T15:39:23","SchoolId":76044,"MatchingDegree":0}]},{"ID":7968356,"Guid":"df66f41a-b289-4387-a6ad-7c42e40bfff0","Title":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27934\" type=\"1\">计数原理与概率统计</category><category id=\"29366\" type=\"1\">统计</category><category id=\"29372\" type=\"1\">用样本估计总体</category><category id=\"29402\" type=\"1\">频率分布直方图</category><category id=\"29421\" type=\"1\">由频率分布直方图计算频率、频数、样本容量、总体容量</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27934\" type=\"1\">计数原理与概率统计</category><category id=\"29367\" type=\"1\">统计案例</category><category id=\"29469\" type=\"1\">独立性检验</category><category id=\"29480\" type=\"1\">独立性检验</category><category id=\"29484\" type=\"1\">卡方的计算</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27934\" type=\"1\">计数原理与概率统计</category><category id=\"29369\" type=\"1\">概率</category><category id=\"29553\" type=\"1\">古典概型</category><category id=\"29585\" type=\"1\">古典概型的概率计算公式</category><category id=\"29589\" type=\"1\">计算古典概型问题的概率</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79332\" type=\"0\">必修3</category><category id=\"79335\" type=\"0\">第三章 概率</category><category id=\"79362\" type=\"0\">§2 古典概型</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79332\" type=\"0\">必修3</category><category id=\"79335\" type=\"0\">第三章 概率</category><category id=\"79362\" type=\"0\">§2 古典概型</category><category id=\"79367\" type=\"0\">2.1 古典概型的特征和概率计算公式</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79332\" type=\"0\">必修3</category><category id=\"79335\" type=\"0\">第三章 概率</category><category id=\"79362\" type=\"0\">§2 古典概型</category><category id=\"79368\" type=\"0\">2.2 建立概率模型</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79505\" type=\"0\">选修1-2</category><category id=\"79506\" type=\"0\">第一章 统计案例</category><category id=\"79512\" type=\"0\">§2 独立性检验</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79505\" type=\"0\">选修1-2</category><category id=\"79506\" type=\"0\">第一章 统计案例</category><category id=\"79512\" type=\"0\">§2 独立性检验</category><category id=\"79518\" type=\"0\">2.2 独立性检验</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79505\" type=\"0\">选修1-2</category><category id=\"79506\" type=\"0\">第一章 统计案例</category><category id=\"79512\" type=\"0\">§2 独立性检验</category><category id=\"79520\" type=\"0\">2.4 独立性检验的应用</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79635\" type=\"0\">选修2-3</category><category id=\"79638\" type=\"0\">第三章 统计案例</category><category id=\"79660\" type=\"0\">§2 独立性检验</category><category id=\"79665\" type=\"0\">2.1 独立性检验</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79635\" type=\"0\">选修2-3</category><category id=\"79638\" type=\"0\">第三章 统计案例</category><category id=\"79660\" type=\"0\">§2 独立性检验</category><category id=\"79666\" type=\"0\">2.2 独立性检验的基本思想</category></item><item><category id=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79891\" type=\"0\">高三第二学期</category><category id=\"79892\" type=\"0\">第十七章 概率论初步</category><category id=\"79895\" type=\"0\">17.1 古典概型</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"79992\" type=\"0\">必修3</category><category id=\"79995\" type=\"0\">第三章 概率</category><category id=\"80018\" type=\"0\">3.2 古典概型</category><category id=\"80024\" type=\"0\">3.2.1 古典概型</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80145\" type=\"0\">选修1-2</category><category id=\"80146\" type=\"0\">第一章 统计案例</category><category id=\"80152\" type=\"0\">1.2 独立性检验的基本思想及其初步应用</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80254\" type=\"0\">选修2-3</category><category id=\"80257\" type=\"0\">第三章 统计案例</category><category id=\"80280\" type=\"0\">3.2 独立性检验的基本思想及其初步应用</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80584\" type=\"0\">必修3</category><category id=\"80587\" type=\"0\">第三章 概率</category><category id=\"80612\" type=\"0\">3.2 古典概型</category><category id=\"80621\" type=\"0\">3.2.2 概率的一般加法公式（选学）</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80737\" type=\"0\">选修1-2</category><category id=\"80738\" type=\"0\">第一章 统计案例</category><category id=\"80743\" type=\"0\">1.1 独立性检验</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80844\" type=\"0\">选修2-3</category><category id=\"80847\" type=\"0\">第三章 统计案例</category><category id=\"80870\" type=\"0\">3.1 独立性检验</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81066\" type=\"0\">必修3</category><category id=\"81069\" type=\"0\">第3章 概率</category><category id=\"81097\" type=\"0\">3.2 古典概型</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81204\" type=\"0\">选修1-2</category><category id=\"81205\" type=\"0\">第1章 统计案例</category><category id=\"81210\" type=\"0\">1.1 独立性检验</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81303\" type=\"0\">选修2-3</category><category id=\"81305\" type=\"0\">第2章 概率</category><category id=\"81318\" type=\"0\">2.3 独立性</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81303\" type=\"0\">选修2-3</category><category id=\"81306\" type=\"0\">第3章 统计案例</category><category id=\"81327\" type=\"0\">3.1 独立性检验</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81637\" type=\"0\">高中三年级</category><category id=\"81641\" type=\"0\">第17章 概率论初步</category><category id=\"81669\" type=\"0\">17.1 古典概念</category></item><item><category id=\"81682\" type=\"0\">苏教版（2004）</category><category id=\"81698\" type=\"0\">选修1-2</category><category id=\"81699\" type=\"0\">第1章 统计案例</category><category id=\"81705\" type=\"0\">1.2独立性检验</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81837\" type=\"0\">必修第五册</category><category id=\"81840\" type=\"0\">第13章 概率</category><category id=\"81871\" type=\"0\">13.2 概率及其应用</category><category id=\"81876\" type=\"0\">13.2.1 古典概率模型</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81916\" type=\"0\">选修1-2</category><category id=\"81917\" type=\"0\">第4章 典型统计案例</category><category id=\"81923\" type=\"0\">4.2 事件的独立性</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"82019\" type=\"0\">选修2-3</category><category id=\"82021\" type=\"0\">第8章 统计与概率</category><category id=\"82037\" type=\"0\">8.4 列联表独立性分析案例</category></item><item><category id=\"135638\" type=\"0\">北师大版（2019）</category><category id=\"135700\" type=\"0\">高一年级上册</category><category id=\"135707\" type=\"0\">第七章 概率</category><category id=\"135814\" type=\"0\">2 古典概型</category><category id=\"135824\" type=\"0\">2.1 古典概型</category></item><item><category id=\"135638\" type=\"0\">北师大版（2019）</category><category id=\"135700\" type=\"0\">高一年级上册</category><category id=\"135707\" type=\"0\">第七章 概率</category><category id=\"135814\" type=\"0\">2 古典概型</category><category id=\"135825\" type=\"0\">2.2 古典概型的应用</category></item>","ChildNum":1,"Time":"2019-04-28T06:37:39","QuesBody":"<div>【题文】在2018年10月考考试中，成都外国语学校共有250名高三文科学生参加考试，数学成绩的频率分布直方图如图：<br><img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/a2713505-ce1b-4412-8fb8-dcc511a92aaa/paper.files/image001.png\" alt=\"figure\"><br>（1）如果成绩大于130的为特别优秀，这250名学生中本次考试数学成绩特别优秀的大约多少人？<br>（2）如果这次考试语文特别优秀的有5人，语文和数学两科都特别优秀的共有2人，从（1）中的数学成绩特别优秀的人中随机抽取2人，求选出的2人中恰有1名两科都特别优秀的概率．<br>（3）根据（1），（2）的数据，是否有99%以上的把握认为语文特别优秀的同学，数学也特别优秀？<br>①<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/a2713505-ce1b-4412-8fb8-dcc511a92aaa/paper.files/image002.png\" alt=\"eqId2f23c4ff54b943baa64574bfdc781992\"><br>②<br><table border=\"1\" cellpadding=\"0\" cellspacing=\"0\"><tbody><tr style=\"height:16.5pt\"><td style=\"width:71.25pt;border:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\" width=\"95\">P（<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/a2713505-ce1b-4412-8fb8-dcc511a92aaa/paper.files/image003.png\" alt=\"eqId784b02ce279347f793ab8d6e69cdaa7f\">）<br></td><td style=\"width:71.25pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"95\">0.50<br></td><td style=\"width:71.25pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"95\">0.40<br></td><td style=\"width:71.25pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"95\">…<br></td><td style=\"width:71.25pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"95\">0.010<br></td><td style=\"width:71.25pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"95\">0.005<br></td><td style=\"width:71.25pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"95\">0.001<br></td></tr><tr style=\"height:16.5pt\"><td style=\"width:71.25pt;border:solid black 1.0pt;border-top:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"95\"><i>k<sub>0</sub></i><br></td><td style=\"width:71.25pt;border-top:none;border-left:none; border-bottom:solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\" width=\"95\">0.455<br></td><td style=\"width:71.25pt;border-top:none;border-left:none; border-bottom:solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\" width=\"95\">0.708<br></td><td style=\"width:71.25pt;border-top:none;border-left:none; border-bottom:solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\" width=\"95\">…<br></td><td style=\"width:71.25pt;border-top:none;border-left:none; border-bottom:solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\" width=\"95\">6.635<br></td><td style=\"width:71.25pt;border-top:none;border-left:none; border-bottom:solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\" width=\"95\">7.879<br></td><td style=\"width:71.25pt;border-top:none;border-left:none; border-bottom:solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\" width=\"95\">10.828<br></td></tr></tbody></table> </div>","QuesAnswer":"","QuesParse":"","UseSum":446,"AvgScore":5.0,"ParseAnswerKey":"df165ce2295886b15b8b2e80dda7c1e6","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0}]},{"ID":5953013,"Guid":"1ae07958-e3b2-4caa-8a95-a1c85bc5e0c5","Title":"河北衡水金卷2018届高三高考模拟一理科数学试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":4,"DifValue":0.4,"Name":"较难"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27927\" type=\"1\">函数与导数</category><category id=\"28044\" type=\"1\">导数及其应用</category><category id=\"28259\" type=\"1\">导数在研究函数中的作用</category><category id=\"28278\" type=\"1\">利用导数研究函数的单调性</category><category id=\"28283\" type=\"1\">由函数的单调区间求参数</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27927\" type=\"1\">函数与导数</category><category id=\"28044\" type=\"1\">导数及其应用</category><category id=\"28260\" type=\"1\">导数的综合应用</category><category id=\"28294\" type=\"1\">导数在函数中的其他应用</category><category id=\"28299\" type=\"1\">利用导数研究函数的零点</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79458\" type=\"0\">选修1-1</category><category id=\"79462\" type=\"0\">第四章 导数应用</category><category id=\"79498\" type=\"0\">§1 函数的单调性与极值</category><category id=\"79501\" type=\"0\">1.1 导数与函数的单调性</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79587\" type=\"0\">选修2-2</category><category id=\"79590\" type=\"0\">第三章 导数应用</category><category id=\"79613\" type=\"0\">§1 函数的单调性与极值</category><category id=\"79616\" type=\"0\">1.1 导数与函数的单调性</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80101\" type=\"0\">选修1-1</category><category id=\"80104\" type=\"0\">第三章 导数及其应用</category><category id=\"80134\" type=\"0\">3.3 导数在研究函数中的应用</category><category id=\"80142\" type=\"0\">3.3.1 函数的单调性与导数</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80213\" type=\"0\">选修2-2</category><category id=\"80214\" type=\"0\">第一章 导数及其应用</category><category id=\"80220\" type=\"0\">1.3 导数在研究函数中的应用</category><category id=\"80231\" type=\"0\">1.3.1 函数的单调性与导数</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80699\" type=\"0\">选修1-1</category><category id=\"80702\" type=\"0\">第三章 导数及其应用</category><category id=\"80726\" type=\"0\">3.3 导数的应用</category><category id=\"80734\" type=\"0\">3.3.1 利用导数判断函数的单调性</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80804\" type=\"0\">选修2-2</category><category id=\"80805\" type=\"0\">第一章 导数及其应用</category><category id=\"80811\" type=\"0\">1.3 导数的应用</category><category id=\"80820\" type=\"0\">1.3.1 利用导数判断函数的单调性</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81167\" type=\"0\">选修1-1</category><category id=\"81170\" type=\"0\">第3章 导数及其应用</category><category id=\"81194\" type=\"0\">3.3 导数在研究函数中的应用</category><category id=\"81201\" type=\"0\">3.3.1 单调性</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81268\" type=\"0\">选修2-2</category><category id=\"81269\" type=\"0\">第1章 导数及其应用</category><category id=\"81275\" type=\"0\">1.3 导数在研究函数中的应用</category><category id=\"81284\" type=\"0\">1.3.1 单调性</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81878\" type=\"0\">选修1-1</category><category id=\"81881\" type=\"0\">第3章 导数及其应用</category><category id=\"81904\" type=\"0\">3.3 导数在研究函数中的应用</category><category id=\"81913\" type=\"0\">3.3.1 利用导数研究函数的单调性</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81980\" type=\"0\">选修2-2</category><category id=\"81981\" type=\"0\">第4章 导数及其应用</category><category id=\"81987\" type=\"0\">4.3 导数在研究函数中的应用</category><category id=\"81997\" type=\"0\">4.3.1 利用导数研究函数的单调性</category></item>","ChildNum":1,"Time":"2018-01-22T11:10:03","QuesBody":"<div>【题文】已知函数<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/06/6c0572ef-5231-47a5-9706-af918d4800b7/paper.files/image001.png\" alt=\"eqId03dffc9751ec41feb7aedb26395a0cb4\">，其中<i>e</i>为自然对数的底数．<br>（1）若函数<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/06/6c0572ef-5231-47a5-9706-af918d4800b7/paper.files/image002.png\" alt=\"eqId6f13759e937144069819aed2ae5a1057\">在区间<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/06/6c0572ef-5231-47a5-9706-af918d4800b7/paper.files/image003.png\" alt=\"eqIda75f32d729e345fca573383b8c130842\">上是单调函数，试求实数<i>a</i>的取值范围；<br>（2）已知函数<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/06/6c0572ef-5231-47a5-9706-af918d4800b7/paper.files/image004.png\" alt=\"eqIdb87389fa28c74b218ac4fa6d5daa6c53\">，且<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/06/6c0572ef-5231-47a5-9706-af918d4800b7/paper.files/image005.png\" alt=\"eqIdd893c41f7eec42a58d25f787ee861a9d\">，若函数<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/06/6c0572ef-5231-47a5-9706-af918d4800b7/paper.files/image006.png\" alt=\"eqIdfcaf3bbe14e548cc8d47beb2467db5a0\">在区间<img style=\"vertical-align:middle;\" src=\"Upload/2019-10/06/6c0572ef-5231-47a5-9706-af918d4800b7/paper.files/image003.png\" alt=\"eqIda75f32d729e345fca573383b8c130842\">上恰有3个零点，求实数<i>a</i>的取值范围．</div>","QuesAnswer":"","QuesParse":"","UseSum":1137,"AvgScore":5.0,"ParseAnswerKey":"2d4db421373b601291e1c960dee8167d","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0},{"Id":344545,"PaperTitle":"2018年普通高等学校招生全国统一考试模拟试题（一）理科数学","LearnGrade":12,"PaperType":9,"Province":1,"PaperYear":2018,"PaperLevel":60,"AddTimeOn":"2018-04-24T15:11:21","SchoolId":0,"MatchingDegree":0},{"Id":309280,"PaperTitle":"河北衡水中学金卷2018届高三高考模拟一理科数学试题","LearnGrade":12,"PaperType":9,"Province":1,"PaperYear":2018,"PaperLevel":62,"AddTimeOn":"2018-01-22T11:07:13","SchoolId":6623,"MatchingDegree":0}]},{"ID":7201480,"Guid":"8b11c403-eac7-47bb-a2e0-ab76e962f158","Title":"四川省成都市高新区2019届高三10月月考数学（理）试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":3,"DifValue":0.65,"Name":"一般"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27939\" type=\"1\">坐标系与参数方程</category><category id=\"29830\" type=\"1\">极坐标系</category><category id=\"29842\" type=\"1\">极坐标与直角坐标的互化</category><category id=\"29846\" type=\"1\">极坐标与直角坐标的互化</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27939\" type=\"1\">坐标系与参数方程</category><category id=\"29834\" type=\"1\">圆锥曲线的参数方程</category><category id=\"29864\" type=\"1\">椭圆的参数方程</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79714\" type=\"0\">选修4-4</category><category id=\"79716\" type=\"0\">第二章 参数方程</category><category id=\"79723\" type=\"0\">§2 直线和圆锥曲线的参数方程</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80452\" type=\"0\">选修4-4</category><category id=\"80454\" type=\"0\">第二讲 参数方程</category><category id=\"80470\" type=\"0\">二 圆锥曲线的参数方程</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80452\" type=\"0\">选修4-4</category><category id=\"80454\" type=\"0\">第二讲 参数方程</category><category id=\"80471\" type=\"0\">三 直线的参数方程</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80452\" type=\"0\">选修4-4</category><category id=\"80454\" type=\"0\">第二讲 参数方程</category><category id=\"80469\" type=\"0\">一 曲线的参数方程</category><category id=\"80475\" type=\"0\">2. 圆的参数方程</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80452\" type=\"0\">选修4-4</category><category id=\"80454\" type=\"0\">第二讲 参数方程</category><category id=\"80469\" type=\"0\">一 曲线的参数方程</category><category id=\"80476\" type=\"0\">3. 参数方程与普通方程的互化</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80452\" type=\"0\">选修4-4</category><category id=\"80454\" type=\"0\">第二讲 参数方程</category><category id=\"80470\" type=\"0\">二 圆锥曲线的参数方程</category><category id=\"80477\" type=\"0\">1. 椭圆的参数方程</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80452\" type=\"0\">选修4-4</category><category id=\"80454\" type=\"0\">第二讲 参数方程</category><category id=\"80470\" type=\"0\">二 圆锥曲线的参数方程</category><category id=\"80478\" type=\"0\">2. 双曲线的参数方程</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80452\" type=\"0\">选修4-4</category><category id=\"80454\" type=\"0\">第二讲 参数方程</category><category id=\"80470\" type=\"0\">二 圆锥曲线的参数方程</category><category id=\"80479\" type=\"0\">3. 抛物线的参数方程</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80935\" type=\"0\">选修4-4</category><category id=\"80937\" type=\"0\">第二章 参数方程</category><category id=\"80953\" type=\"0\">2.1 曲线的参数方程</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80935\" type=\"0\">选修4-4</category><category id=\"80937\" type=\"0\">第二章 参数方程</category><category id=\"80954\" type=\"0\">2.2 直线和圆的参数方程</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80935\" type=\"0\">选修4-4</category><category id=\"80937\" type=\"0\">第二章 参数方程</category><category id=\"80955\" type=\"0\">2.3 圆锥曲线的参数方程</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80935\" type=\"0\">选修4-4</category><category id=\"80937\" type=\"0\">第二章 参数方程</category><category id=\"80954\" type=\"0\">2.2 直线和圆的参数方程</category><category id=\"80960\" type=\"0\">2.2.1 直线的参数方程</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80935\" type=\"0\">选修4-4</category><category id=\"80937\" type=\"0\">第二章 参数方程</category><category id=\"80954\" type=\"0\">2.2 直线和圆的参数方程</category><category id=\"80961\" type=\"0\">2.2.2 圆的参数方程</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80935\" type=\"0\">选修4-4</category><category id=\"80937\" type=\"0\">第二章 参数方程</category><category id=\"80955\" type=\"0\">2.3 圆锥曲线的参数方程</category><category id=\"80962\" type=\"0\">2.3.1 椭圆的参数方程</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80935\" type=\"0\">选修4-4</category><category id=\"80937\" type=\"0\">第二章 参数方程</category><category id=\"80955\" type=\"0\">2.3 圆锥曲线的参数方程</category><category id=\"80963\" type=\"0\">2.3.2 抛物线的参数方程</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80935\" type=\"0\">选修4-4</category><category id=\"80937\" type=\"0\">第二章 参数方程</category><category id=\"80955\" type=\"0\">2.3 圆锥曲线的参数方程</category><category id=\"80964\" type=\"0\">2.3.3 双曲线的参数方程</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81445\" type=\"0\">选修4-4</category><category id=\"81449\" type=\"0\">4.4 参数方程</category><category id=\"81459\" type=\"0\">4.4.2 参数方程与普通方程的互化</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"82093\" type=\"0\">选修4-4</category><category id=\"82095\" type=\"0\">第2章 参数方程</category><category id=\"82105\" type=\"0\">2.2 直线的参数方程</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"82093\" type=\"0\">选修4-4</category><category id=\"82095\" type=\"0\">第2章 参数方程</category><category id=\"82106\" type=\"0\">2.3 圆锥曲线的参数方程</category></item>","ChildNum":1,"Time":"2018-11-24T10:43:12","QuesBody":"<div>【题文】已知曲线<i>C</i>的参数方程是<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/26/511a99bd-4c2e-47cc-8b33-b227c71f86e1/paper.files/image001.png\" alt=\"eqId5e5c0b7356af45a283be3248327db789\">（<i>α</i>为参数）<br>（1）将<i>C</i>的参数方程化为普通方程；<br>（2）在直角坐标系<i>xOy</i>中，<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/26/511a99bd-4c2e-47cc-8b33-b227c71f86e1/paper.files/image002.png\" alt=\"eqId973a8db66e4b47afab0747a4e6b942b9\">，以原点<i>O</i>为极点，<i>x</i>轴的正半轴为极轴，建立极坐标系，直线<i>l</i>的极坐标方程为<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/26/511a99bd-4c2e-47cc-8b33-b227c71f86e1/paper.files/image003.png\" alt=\"eqIde6fd0c3329c549f295a0a0a826321188\">，<i>Q</i>为<i>C</i>上的动点，求线段<i>PQ</i>的中点<i>M</i>到直线<i>l</i>的距离的最小值．</div>","QuesAnswer":"","QuesParse":"","UseSum":369,"AvgScore":5.0,"ParseAnswerKey":"44c788547028b01ca3ac986d7ea3fca8","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0},{"Id":428257,"PaperTitle":"四川省成都市高新区2019届高三10月月考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2019,"PaperLevel":41,"AddTimeOn":"2018-11-24T10:41:59","SchoolId":0,"MatchingDegree":0}]},{"ID":7968357,"Guid":"4dabd94c-d16e-46af-adaf-e9500cc190d3","Title":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27940\" type=\"1\">不等式选讲</category><category id=\"29874\" type=\"1\">绝对值不等式</category><category id=\"29881\" type=\"1\">含绝对值不等式的解法</category><category id=\"29885\" type=\"1\">分类讨论解绝对值不等式</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27940\" type=\"1\">不等式选讲</category><category id=\"29874\" type=\"1\">绝对值不等式</category><category id=\"29881\" type=\"1\">含绝对值不等式的解法</category><category id=\"29888\" type=\"1\">解含参数的绝对值不等式</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79727\" type=\"0\">选修4-5</category><category id=\"79728\" type=\"0\">第一章 不等关系与基本不等式</category><category id=\"79732\" type=\"0\">§2 含有绝对值的不等式</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80482\" type=\"0\">选修4-5</category><category id=\"80483\" type=\"0\">第一讲 不等式和绝对值不等式</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80482\" type=\"0\">选修4-5</category><category id=\"80483\" type=\"0\">第一讲 不等式和绝对值不等式</category><category id=\"80489\" type=\"0\">二 绝对值不等式</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80482\" type=\"0\">选修4-5</category><category id=\"80483\" type=\"0\">第一讲 不等式和绝对值不等式</category><category id=\"80489\" type=\"0\">二 绝对值不等式</category><category id=\"80494\" type=\"0\">1. 绝对值三角不等式</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80482\" type=\"0\">选修4-5</category><category id=\"80483\" type=\"0\">第一讲 不等式和绝对值不等式</category><category id=\"80489\" type=\"0\">二 绝对值不等式</category><category id=\"80495\" type=\"0\">2. 绝对值不等式的解法</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80967\" type=\"0\">选修4-5</category><category id=\"80968\" type=\"0\">第一章 不等式的基本性质和证明方法</category><category id=\"80974\" type=\"0\">1.3 绝对值不等式的解法</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80967\" type=\"0\">选修4-5</category><category id=\"80968\" type=\"0\">第一章 不等式的基本性质和证明方法</category><category id=\"80975\" type=\"0\">1.4 绝对值的三角不等式</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80967\" type=\"0\">选修4-5</category><category id=\"80968\" type=\"0\">第一章 不等式的基本性质和证明方法</category><category id=\"80974\" type=\"0\">1.3 绝对值不等式的解法</category><category id=\"80981\" type=\"0\">1.3.2 |x-a|+|x-b|≥c，|x-a|+|x-b|≤c型不等式的解法</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81462\" type=\"0\">选修4-5</category><category id=\"81464\" type=\"0\">5.2 含有绝对值的不等式</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81462\" type=\"0\">选修4-5</category><category id=\"81464\" type=\"0\">5.2 含有绝对值的不等式</category><category id=\"81470\" type=\"0\">5.2.1 含有绝对值的不等式的解法</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81462\" type=\"0\">选修4-5</category><category id=\"81464\" type=\"0\">5.2 含有绝对值的不等式</category><category id=\"81471\" type=\"0\">5.2.2 含有绝对值的不等式的证明</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"82110\" type=\"0\">选修4-5</category><category id=\"82112\" type=\"0\">第2章 绝对值不等式</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"82110\" type=\"0\">选修4-5</category><category id=\"82112\" type=\"0\">第2章 绝对值不等式</category><category id=\"82124\" type=\"0\">2.1 含有绝对值的不等式</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"82110\" type=\"0\">选修4-5</category><category id=\"82112\" type=\"0\">第2章 绝对值不等式</category><category id=\"82125\" type=\"0\">2.2 解含绝对值的不等式举例</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82287\" type=\"0\">高二上册</category><category id=\"82288\" type=\"0\">第六章 不等式</category><category id=\"82295\" type=\"0\">6.5 含有绝对值的不等式</category></item>","ChildNum":1,"Time":"2019-04-28T06:37:40","QuesBody":"<div>【题文】已知函数<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/981ed447-3040-43fd-933b-623e13b17b15/paper.files/image001.png\" alt=\"eqIda6d5af8ea7e344eb8cfd31056c5f3985\">（<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/981ed447-3040-43fd-933b-623e13b17b15/paper.files/image002.png\" alt=\"eqId147167b0232945c4af2c2adf04403c0d\">）<br>（1）<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/981ed447-3040-43fd-933b-623e13b17b15/paper.files/image003.png\" alt=\"eqId1c0c1e0aeba042cc8b5e2fc4ff0896ca\">时，求不等式<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/981ed447-3040-43fd-933b-623e13b17b15/paper.files/image004.png\" alt=\"eqId9a0e011241284a698b661a24a3c92c6f\">的解集；<br>（2）若对于任意的<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/981ed447-3040-43fd-933b-623e13b17b15/paper.files/image005.png\" alt=\"eqId25cb1aa40d644d3e95f2753ed5db7187\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/981ed447-3040-43fd-933b-623e13b17b15/paper.files/image006.png\" alt=\"eqId5479cb68b02e4ea2b5a1e704b72b6720\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-09/25/981ed447-3040-43fd-933b-623e13b17b15/paper.files/image007.png\" alt=\"eqId404cbed2250e48689ed613f9081175c4\">恒成立，求实数<i>a</i>的取值范围．</div>","QuesAnswer":"","QuesParse":"","UseSum":289,"AvgScore":5.0,"ParseAnswerKey":"95e45e9a71789c88665e52761bfd10d0","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2018·四川成都外国语学校高三月考（文）","PaperSource":[{"Id":503106,"PaperTitle":"四川省成都外国语学校2019届高三上学期第一次月考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":510000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2019-04-28T06:37:01","SchoolId":62274,"MatchingDegree":0}]}],"bankId":0,"PaperQuesCount":23,"ReadSum":335,"schoolId":0}
，
，则
（ ）
