湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题
适用年级：高二试卷类型：期末试题总数：22浏览次数：54上传日期：2019/2/12
一、单选题
1 . 复数
在复平面内对应的点在（ ）
难度系数：0.94使用：111次题型：单选题更新：2019/2/12
2 . 已知命题
：“如果
，那么
”，命题
：“如果
，那么
”，则命题
是命题
的（ ）
难度系数：0.94使用：365次题型：单选题更新：2017/8/2
3 . 有50件产品，编号从1到50，现在从中抽取5件检验，用系统抽样确定所抽取的第一个样本编号为7，则第三个样本编号是（ ）
难度系数：0.94使用：208次题型：单选题更新：2019/2/12
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type=\"0\">高中三年级</category><category id=\"81642\" type=\"0\">第18章 基本统计方法</category><category id=\"81675\" type=\"0\">18.2 抽样技术</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=\"81839\" type=\"0\">第12章 统计学初步</category><category id=\"81854\" type=\"0\">12.2 抽样调查方法</category><category id=\"81861\" type=\"0\">12.2.1 随机抽样</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82242\" type=\"0\">高三全册</category><category id=\"82243\" type=\"0\">第一章 概率与统计</category><category id=\"82249\" type=\"0\">1.3 抽样方法</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:40","QuesBody":"<div>【题文】有50件产品，编号从1到50，现在从中抽取5件检验，用系统抽样确定所抽取的第一个样本编号为7，则第三个样本编号是（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．12</td><td width=\"25%\">B．17</td><td width=\"25%\">C．27</td><td 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type=\"0\">大纲版</category><category id=\"82242\" type=\"0\">高三全册</category><category id=\"82243\" type=\"0\">第一章 概率与统计</category><category id=\"82249\" type=\"0\">1.3 抽样方法</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:41","QuesBody":"<div>【题文】已知甲、乙两组数据如茎叶图所示，则甲组的中位数与乙组的平均数分别为（ ）<br><table border=\"1\" cellpadding=\"0\" cellspacing=\"0\"><tbody><tr style=\"height:16.5pt\"><td style=\"width:45.75pt;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=\"61\">甲 <br></td><td style=\"width:19.5pt;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=\"26\"> <br></td><td style=\"width:52.5pt;border:none;border-bottom:solid black 1.0pt; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"70\">乙 <br></td></tr><tr style=\"height:16.5pt\"><td style=\"width:45.75pt;border:none;border-right:solid black 1.0pt; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"61\">7<br><p style=\"text-align:right;\">9 2 </p></td><td style=\"width:19.5pt;border:none;border-right:solid black 1.0pt; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"26\">2 <br>3 <br></td><td style=\"width:52.5pt;border:none;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\" width=\"70\">4<i> </i><br>2 4 8 <br></td></tr></tbody></table> <table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"100%\">A．32, 32</td></tr><tr><td width=\"100%\">B．27, 32</td></tr><tr><td width=\"100%\">C．39, 34</td></tr><tr><td width=\"100%\">D．32, 34</td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":76,"AvgScore":5.0,"ParseAnswerKey":"7108009eef7f63a78fa8b34eebddafc3","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2019·湖南高二期末（文）","PaperSource":[{"Id":465242,"PaperTitle":"湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题","LearnGrade":11,"PaperType":5,"Province":430000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-02-12T16:37:04","SchoolId":0,"MatchingDegree":0}]},{"ID":7570557,"Guid":"c0992203-114e-4122-bc1a-b3d4184c7279","Title":"湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","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=\"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\" 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type=\"0\">苏教版</category><category id=\"81486\" type=\"0\">高中一年级第一学期</category><category id=\"81487\" type=\"0\">第1章 集合和命题</category><category id=\"81494\" type=\"0\">三 充分条件与必要条件</category><category id=\"81501\" type=\"0\">1.6 子集与推出关系</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=\"80764\" type=\"0\">第一章 常用逻辑用语</category><category id=\"80770\" type=\"0\">1.3 充分条件、必要条件与命题的四种形式</category><category id=\"80776\" type=\"0\">1.3.1 推出与充分条件、必要条件</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81167\" type=\"0\">选修1-1</category><category id=\"81168\" type=\"0\">第1章 常用逻辑用语</category><category id=\"81172\" type=\"0\">1.1 命题及其关系</category><category id=\"81177\" type=\"0\">1.1.2 充分条件和必要条件</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81228\" type=\"0\">选修2-1</category><category id=\"81229\" type=\"0\">第1章 常用逻辑用语</category><category id=\"81233\" type=\"0\">1.1 命题及其关系</category><category id=\"81238\" type=\"0\">1.1.2 充分条件与必要条件</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81878\" type=\"0\">选修1-1</category><category id=\"81879\" type=\"0\">第1章 常用逻辑用语</category><category id=\"81883\" type=\"0\">1.1 命题及其关系</category><category id=\"81888\" type=\"0\">1.1.3 充分条件和必要条件</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81945\" type=\"0\">选修2-1</category><category id=\"81946\" type=\"0\">第1章 常用逻辑用语</category><category id=\"81950\" type=\"0\">1.1 命题及其关系</category><category id=\"81955\" type=\"0\">1.1.3 充分条件和必要条件</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=\"81487\" type=\"0\">第1章 集合和命题</category><category id=\"81494\" type=\"0\">三 充分条件与必要条件</category><category id=\"81500\" type=\"0\">1.5 充分条件，必要条件</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82159\" type=\"0\">高一上册</category><category id=\"82160\" type=\"0\">第一章 集合与简易逻辑</category><category id=\"82164\" type=\"0\">二 简易逻辑</category><category id=\"82173\" type=\"0\">1.8 充分条件与必要条件</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:42","QuesBody":"<div>【题文】在<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/07963ee5-fdae-47d4-83ec-25a9510d8c9d/paper.files/image001.png\" alt=\"eqId992fe44057cf4492895193f3f5398449\">中，“<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/07963ee5-fdae-47d4-83ec-25a9510d8c9d/paper.files/image002.png\" alt=\"eqIddaf66f6fdd144030b052411c622319cc\">”是“<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/07963ee5-fdae-47d4-83ec-25a9510d8c9d/paper.files/image003.png\" alt=\"eqId896ef233293441109a07f0091bbc8aeb\">”成立的（ ）<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":288,"AvgScore":5.0,"ParseAnswerKey":"3a499fc3c1cb1686d5294a3fcf7b691a","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2019·湖南高二期末（文）","PaperSource":[{"Id":465242,"PaperTitle":"湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题","LearnGrade":11,"PaperType":5,"Province":430000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-02-12T16:37:04","SchoolId":0,"MatchingDegree":0}]},{"ID":6204974,"Guid":"a9b99cad-b80b-4b80-bdbc-08012148c2a6","Title":"人教B版高中数学必修三同步测试：3.1.3频率与概率","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=\"29552\" type=\"1\">随机事件的概率</category><category id=\"29559\" type=\"1\">生活中的概率</category><category id=\"29570\" type=\"1\">天气预报中的概率解释</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></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=\"79361\" type=\"0\">§1 随机事件的概率</category><category id=\"79365\" type=\"0\">1.1 频率与概率</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=\"79361\" type=\"0\">§1 随机事件的概率</category><category id=\"79366\" type=\"0\">1.2 生活中的概率</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=\"79637\" type=\"0\">第二章 概率</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=\"79896\" type=\"0\">17.2 频率与概率</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></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=\"80017\" type=\"0\">3.1 随机事件的概率</category><category id=\"80022\" type=\"0\">3.1.2 概率的意义</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></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=\"80611\" type=\"0\">3.1 事件与概率</category><category id=\"80618\" type=\"0\">3.1.3 频率与概率</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=\"80846\" type=\"0\">第二章 概率</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></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=\"81100\" type=\"0\">本章复习与测试</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></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=\"81670\" type=\"0\">17.2 频率与频率</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></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=\"81872\" type=\"0\">13.3 频率与概率</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=\"82035\" type=\"0\">8.2 概率</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82319\" type=\"0\">高二下册</category><category id=\"82322\" type=\"0\">第十一章 概率</category></item>","ChildNum":1,"Time":"2018-03-24T02:19:19","QuesBody":"<div>【题文】某市的天气预报中,有“降水概率预报”,例如预报“明天降水概率为90%”,这是指(<i> </i>)<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"100%\">A．明天该地区约有90%的地方会降水,其余地方不降水</td></tr><tr><td width=\"100%\">B．明天该地区约90%的时间会降水,其余时间不降水</td></tr><tr><td width=\"100%\">C．气象台的专家中,有90%认为明天会降水,其余的专家认为不降水</td></tr><tr><td width=\"100%\">D．明天该地区降水的可能性为90%</td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":291,"AvgScore":5.0,"ParseAnswerKey":"e2859f5e916362f6ff22f76b22a67458","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2018·全国高二课时练习","PaperSource":[{"Id":331967,"PaperTitle":"人教B版高中数学必修三同步测试：3.1.3频率与概率","LearnGrade":11,"PaperType":1,"Province":1,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-03-24T02:19:09","SchoolId":0,"MatchingDegree":1},{"Id":465242,"PaperTitle":"湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题","LearnGrade":11,"PaperType":5,"Province":430000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-02-12T16:37:04","SchoolId":0,"MatchingDegree":0}]},{"ID":6534846,"Guid":"120f4efd-2e35-4f8a-a9db-4f03d613181e","Title":"广东省中山市第一中学2017-2018学年高二下学期第二次段考数学（理）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=\"27935\" type=\"1\">推理与证明</category><category id=\"29671\" type=\"1\">直接证明与间接证明</category><category id=\"29694\" type=\"1\">反证法</category><category id=\"29699\" type=\"1\">反证法的概念辨析</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27935\" type=\"1\">推理与证明</category><category id=\"29671\" type=\"1\">直接证明与间接证明</category><category id=\"29694\" type=\"1\">反证法</category><category id=\"29700\" type=\"1\">反证法证明</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=\"79508\" type=\"0\">第三章 推理与证明</category><category id=\"79527\" type=\"0\">§4 反证法</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=\"79588\" type=\"0\">第一章 推理与证明</category><category id=\"79596\" type=\"0\">§3 反证法</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=\"80147\" type=\"0\">第二章 推理与证明</category><category id=\"80155\" type=\"0\">2.2 直接证明与间接证明</category><category id=\"80160\" type=\"0\">2.2.2 反证法</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=\"80215\" type=\"0\">第二章 推理与证明</category><category id=\"80240\" type=\"0\">2.2 直接证明与间接证明</category><category id=\"80246\" type=\"0\">2.2.2 反证法</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=\"80739\" type=\"0\">第二章 推理与证明</category><category id=\"80747\" type=\"0\">2.2 直接证明与间接证明</category><category id=\"80752\" type=\"0\">2.2.2 反证法</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=\"80806\" type=\"0\">第二章 推理与证明</category><category id=\"80826\" type=\"0\">2.2 直接证明与间接证明</category><category id=\"80832\" type=\"0\">2.2.2 反证法</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81204\" type=\"0\">选修1-2</category><category id=\"81206\" type=\"0\">第2章 推理与证明</category><category id=\"81214\" type=\"0\">2.2 直接证明与间接证明</category><category id=\"81220\" type=\"0\">2.2.2 间接证明</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81268\" type=\"0\">选修2-2</category><category id=\"81270\" type=\"0\">第2章 推理与证明</category><category id=\"81291\" type=\"0\">2.2 直接证明与间接证明</category><category id=\"81298\" type=\"0\">2.2.2 间接证明</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81916\" type=\"0\">选修1-2</category><category id=\"81918\" type=\"0\">第5章 推理与证明</category><category id=\"81928\" type=\"0\">5.2 直接证明与间接证明</category><category id=\"81935\" type=\"0\">5.2.2 间接证明:反证法</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81980\" type=\"0\">选修2-2</category><category id=\"81983\" type=\"0\">第6章 推理与证明</category><category id=\"82010\" type=\"0\">6.2 直接证明与间接证明</category><category id=\"82018\" type=\"0\">6.2.2 间接证明：反证法</category></item>","ChildNum":1,"Time":"2018-06-19T14:21:24","QuesBody":"<div>【题文】用反证法证明命题“已知<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/31/b5d0142b-3dcc-455d-b941-f60054fa3c14/paper.files/image001.png\">为非零实数，且<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/31/b5d0142b-3dcc-455d-b941-f60054fa3c14/paper.files/image002.png\">，<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/31/b5d0142b-3dcc-455d-b941-f60054fa3c14/paper.files/image003.png\">，求证<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/31/b5d0142b-3dcc-455d-b941-f60054fa3c14/paper.files/image001.png\">中至少有两个为正数”时，要做的假设是（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"50%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/31/b5d0142b-3dcc-455d-b941-f60054fa3c14/paper.files/image001.png\">中至少有两个为负数</td><td width=\"50%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/31/b5d0142b-3dcc-455d-b941-f60054fa3c14/paper.files/image001.png\">中至多有一个为负数</td></tr><tr><td width=\"50%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/31/b5d0142b-3dcc-455d-b941-f60054fa3c14/paper.files/image001.png\">中至多有两个为正数</td><td width=\"50%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/31/b5d0142b-3dcc-455d-b941-f60054fa3c14/paper.files/image001.png\">中至多有两个为负数</td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":200,"AvgScore":5.0,"ParseAnswerKey":"98d4a942210b7630ccdc81a6104564fb","QuesAttribute":1,"QuesAttributes":{"ID":1,"Name":"知识点同步题"},"TitleAbbreviation":"2018·广东中山一中高二月考（理）","PaperSource":[{"Id":365780,"PaperTitle":"广东省中山市第一中学2017-2018学年高二下学期第二次段考数学（理）试题","LearnGrade":11,"PaperType":3,"Province":440000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2018-06-19T14:21:08","SchoolId":57848,"MatchingDegree":1},{"Id":391122,"PaperTitle":"黑龙江省大庆市第十中学2017-2018学年高二下学期第二次月考数学（理）试卷","LearnGrade":11,"PaperType":3,"Province":230000,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-09-03T15:40:27","SchoolId":0,"MatchingDegree":0},{"Id":465242,"PaperTitle":"湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题","LearnGrade":11,"PaperType":5,"Province":430000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-02-12T16:37:04","SchoolId":0,"MatchingDegree":0},{"Id":521959,"PaperTitle":"辽宁省沈阳市东北育才学校2018-2019学年高二下学期期中考试数学（文）试题","LearnGrade":11,"PaperType":4,"Province":210000,"PaperYear":2019,"PaperLevel":41,"AddTimeOn":"2019-06-04T07:08:12","SchoolId":11825,"MatchingDegree":0}]},{"ID":7570558,"Guid":"58256ada-67ba-489a-978d-e6335a3a869c","Title":"湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","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=\"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":"2019-02-12T16:37:43","QuesBody":"<div>【题文】如图是一个中心对称的几何图形，已知大圆半径为2，以半径为直径画出两个半圆，在大圆内随机取一点，则此点取自阴影部分的概率为（ ）<br><img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image018.png\"><table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image019.png\"></td><td width=\"25%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image020.png\"></td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image021.png\"></td><td width=\"25%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image010.png\"></td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":219,"AvgScore":5.0,"ParseAnswerKey":"5c96198772add6c17e42ce1f791c1038","QuesAttribute":1,"QuesAttributes":{"ID":1,"Name":"知识点同步题"},"TitleAbbreviation":"2019·湖南高二期末（文）","PaperSource":[{"Id":465242,"PaperTitle":"湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题","LearnGrade":11,"PaperType":5,"Province":430000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-02-12T16:37:04","SchoolId":0,"MatchingDegree":0}]},{"ID":7341072,"Guid":"5f0a6581-32cd-42bc-a21c-408d8bdc00f3","Title":"湖南师范大学附属中学2019届高三上学期月考（四）数学（理）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=\"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":"2018-12-21T10:51:32","QuesBody":"<div>【题文】五进制是以5为底的进位制，主因乃人类的一只手有五只手指. 中国古代的五行学说也是采用的五进制，0代表土，1代表水，2代表火，3代表木，4代表金，依此类推，5又属土，6属水，……，减去5即得.如图，这是一个把<img style=\"vertical-align:middle;\" src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image001.png\">进制数<img style=\"vertical-align:middle;\" src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image002.png\">（共有<img style=\"vertical-align:middle;\" src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image003.png\">位）化为十进制数<img style=\"vertical-align:middle;\" src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image004.png\">的程序框图，执行该程序框图，若输入的<img style=\"vertical-align:middle;\" src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image001.png\">，<img style=\"vertical-align:middle;\" src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image002.png\">，<img style=\"vertical-align:middle;\" src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image005.png\">分别为5，1203，4，则输出的<img style=\"vertical-align:middle;\" src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image006.png\">（ ）<br><img style=\"vertical-align:middle;\" src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image007.png\"><table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．178</td><td width=\"25%\">B．386</td><td width=\"25%\">C．890</td><td width=\"25%\">D．14303</td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":144,"AvgScore":5.0,"ParseAnswerKey":"dd7aeb496ac63df47c81686376c10a60","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2018·湖南师大附中高三月考（理）","PaperSource":[{"Id":442750,"PaperTitle":"湖南师范大学附属中学2019届高三上学期月考（四）数学（理）试题","LearnGrade":12,"PaperType":3,"Province":430000,"PaperYear":2018,"PaperLevel":51,"AddTimeOn":"2018-12-21T10:50:01","SchoolId":49190,"MatchingDegree":1},{"Id":465242,"PaperTitle":"湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题","LearnGrade":11,"PaperType":5,"Province":430000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-02-12T16:37:04","SchoolId":0,"MatchingDegree":0}]},{"ID":7570559,"Guid":"5d4190f9-e056-496f-a77c-fd145b09bc47","Title":"湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","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":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=\"28806\" type=\"1\">空间向量与立体几何</category><category id=\"28978\" type=\"1\">空间向量及其运算</category><category id=\"28997\" type=\"1\">空间向量的数量积运算</category><category id=\"29012\" type=\"1\">空间向量数量积的应用</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27935\" type=\"1\">推理与证明</category><category id=\"29670\" type=\"1\">合情推理与演绎推理</category><category id=\"29674\" type=\"1\">类比推理</category><category id=\"29683\" type=\"1\">平面与空间中的类比</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=\"79508\" type=\"0\">第三章 推理与证明</category><category id=\"79524\" type=\"0\">§1 归纳与类比</category><category id=\"79530\" type=\"0\">1.2 类比推理</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=\"79588\" type=\"0\">第一章 推理与证明</category><category id=\"79594\" type=\"0\">§1 归纳与类比</category><category id=\"79600\" type=\"0\">1.2 类比推理</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=\"80147\" type=\"0\">第二章 推理与证明</category><category id=\"80154\" type=\"0\">2.1 合情推理与演绎推理</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=\"80147\" type=\"0\">第二章 推理与证明</category><category id=\"80154\" type=\"0\">2.1 合情推理与演绎推理</category><category id=\"80157\" type=\"0\">2.1.1 合情推理</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=\"80215\" type=\"0\">第二章 推理与证明</category><category id=\"80239\" type=\"0\">2.1 合情推理与演绎推理</category><category id=\"80243\" type=\"0\">2.1.1 合情推理</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=\"80739\" type=\"0\">第二章 推理与证明</category><category id=\"80746\" type=\"0\">2.1 合情推理与演绎推理</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=\"80739\" type=\"0\">第二章 推理与证明</category><category id=\"80746\" type=\"0\">2.1 合情推理与演绎推理</category><category id=\"80749\" type=\"0\">2.1.1 合情推理</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=\"80806\" type=\"0\">第二章 推理与证明</category><category id=\"80825\" type=\"0\">2.1 合情推理与演绎推理</category><category id=\"80829\" type=\"0\">2.1.1 合情推理</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81204\" type=\"0\">选修1-2</category><category id=\"81206\" type=\"0\">第2章 推理与证明</category><category id=\"81213\" type=\"0\">2.1 合情推理与演绎推理</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81204\" type=\"0\">选修1-2</category><category id=\"81206\" type=\"0\">第2章 推理与证明</category><category id=\"81213\" type=\"0\">2.1 合情推理与演绎推理</category><category id=\"81216\" type=\"0\">2.1.1 合情推理</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81268\" type=\"0\">选修2-2</category><category id=\"81270\" type=\"0\">第2章 推理与证明</category><category id=\"81290\" type=\"0\">2.1 合情推理与演绎推理</category><category id=\"81294\" type=\"0\">2.1.1 合情推理</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=\"81700\" type=\"0\">第2章 推理与证明</category><category id=\"81709\" type=\"0\">2.1合情推理与演绎推理</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81916\" type=\"0\">选修1-2</category><category id=\"81918\" type=\"0\">第5章 推理与证明</category><category id=\"81927\" type=\"0\">5.1 合情推理和演绎推理</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81916\" type=\"0\">选修1-2</category><category id=\"81918\" type=\"0\">第5章 推理与证明</category><category id=\"81927\" type=\"0\">5.1 合情推理和演绎推理</category><category id=\"81931\" type=\"0\">5.1.2 类比</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81980\" type=\"0\">选修2-2</category><category id=\"81983\" type=\"0\">第6章 推理与证明</category><category id=\"82009\" type=\"0\">6.1 合情推理和演绎推理</category><category id=\"82014\" type=\"0\">6.1.2 类比</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81916\" type=\"0\">选修1-2</category><category id=\"81918\" type=\"0\">第5章 推理与证明</category><category id=\"81927\" type=\"0\">5.1 合情推理和演绎推理</category><category id=\"81933\" type=\"0\">5.1.4 合情推理与演绎推理的关系</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:44","QuesBody":"<div>【题文】我们把平面内与直线垂直的非零向量称为直线的法向量，在平面直角坐标系中，利用求动点轨迹方程的方法，可以求出过点<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/15b6bc3c-1112-4feb-8586-18cf034059fe/paper.files/image001.png\" alt=\"eqId8ca9784d8ba04d82895773a2b9cd416f\">，且法向量为<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/15b6bc3c-1112-4feb-8586-18cf034059fe/paper.files/image002.png\" alt=\"eqIdfc04f1b5a3da411c9dd5998e9f655df0\">的直线（点法式）方程为：<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/15b6bc3c-1112-4feb-8586-18cf034059fe/paper.files/image003.png\" alt=\"eqId100f6cedbc8d42fd9ac3bdedd8778116\">，化简得<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/15b6bc3c-1112-4feb-8586-18cf034059fe/paper.files/image004.png\" alt=\"eqIdcae8084a9a0a42e69104f63c21648a69\">.类比以上方法，在空间直角坐标系中，经过点<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/15b6bc3c-1112-4feb-8586-18cf034059fe/paper.files/image005.png\" alt=\"eqId87643900d1224cfdbf459991e7ad283d\">，且法向量为<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/15b6bc3c-1112-4feb-8586-18cf034059fe/paper.files/image006.png\" alt=\"eqId1152945826834a0986a6cb1a3e61b04b\">的平面的方程为（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"50%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/15b6bc3c-1112-4feb-8586-18cf034059fe/paper.files/image007.png\" alt=\"eqId57d735dba72240c6bc69dc843ab46488\"></td><td width=\"50%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/15b6bc3c-1112-4feb-8586-18cf034059fe/paper.files/image008.png\" alt=\"eqId5c0da4cfaf524a0386bcc32e6492d05f\"></td></tr><tr><td width=\"50%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/15b6bc3c-1112-4feb-8586-18cf034059fe/paper.files/image009.png\" alt=\"eqId7f529264d4ae462faea20f3879fe683c\"></td><td width=\"50%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/15b6bc3c-1112-4feb-8586-18cf034059fe/paper.files/image010.png\" 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src=\"Upload/2019-08/06/78dea5ac-7efd-44b7-93dd-95bf6fd0a136/paper.files/image003.png\" alt=\"eqId2381423d4cd146cab95f55527681a766\">在<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/78dea5ac-7efd-44b7-93dd-95bf6fd0a136/paper.files/image004.png\" alt=\"eqId93cbffaa5ae045d6ac45d1e979991c3a\">上，<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/78dea5ac-7efd-44b7-93dd-95bf6fd0a136/paper.files/image005.png\" alt=\"eqId17ab120dd1484145a133e6a409c8465c\">与<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/78dea5ac-7efd-44b7-93dd-95bf6fd0a136/paper.files/image006.png\" alt=\"eqIdc12aac8c2448479687a40735b3572a23\">轴垂直，<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/78dea5ac-7efd-44b7-93dd-95bf6fd0a136/paper.files/image007.png\" alt=\"eqId08c1a938818543f2b7ab78bec2af1385\">,则双曲线<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/78dea5ac-7efd-44b7-93dd-95bf6fd0a136/paper.files/image004.png\" 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type=\"0\">湘教版</category><category id=\"81916\" type=\"0\">选修1-2</category><category id=\"81918\" type=\"0\">第5章 推理与证明</category><category id=\"81927\" type=\"0\">5.1 合情推理和演绎推理</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81916\" type=\"0\">选修1-2</category><category id=\"81918\" type=\"0\">第5章 推理与证明</category><category id=\"81927\" type=\"0\">5.1 合情推理和演绎推理</category><category id=\"81930\" type=\"0\">5.1.1 归纳</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81980\" type=\"0\">选修2-2</category><category id=\"81983\" type=\"0\">第6章 推理与证明</category><category id=\"82009\" type=\"0\">6.1 合情推理和演绎推理</category><category id=\"82013\" type=\"0\">6.1.1 归纳</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81916\" type=\"0\">选修1-2</category><category id=\"81918\" type=\"0\">第5章 推理与证明</category><category id=\"81927\" type=\"0\">5.1 合情推理和演绎推理</category><category id=\"81933\" type=\"0\">5.1.4 合情推理与演绎推理的关系</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:49","QuesBody":"<div>【题文】观察下列各式：<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image082.png\"> <img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image083.png\"> <img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image084.png\">，则<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image085.png\">____________．</div>","QuesAnswer":"","QuesParse":"","UseSum":568,"AvgScore":5.0,"ParseAnswerKey":"67d4926e69d15386b69b23d960643b02","QuesAttribute":1,"QuesAttributes":{"ID":1,"Name":"知识点同步题"},"TitleAbbreviation":"2019·湖南高二期末（文）","PaperSource":[{"Id":465242,"PaperTitle":"湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题","LearnGrade":11,"PaperType":5,"Province":430000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-02-12T16:37:04","SchoolId":0,"MatchingDegree":0}]},{"ID":7570564,"Guid":"5868483b-0402-4512-9ac5-506cd9c025fa","Title":"湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","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=\"27931\" type=\"1\">不等式</category><category id=\"28744\" 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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=\"80125\" type=\"0\">本章复习与测试</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=\"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=\"80717\" 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=\"81247\" type=\"0\">本章复习与测试</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=\"81894\" type=\"0\">2.4 圆锥曲线的应用</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=\"81961\" type=\"0\">2.4 圆锥曲线的应用</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:50","QuesBody":"<div>【题文】如图，已知抛物线<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/64d7ec24-4ff8-479e-8fb6-72d8a0e6de43/paper.files/image001.png\" alt=\"eqIdcfc8599bedfb4ab4944abf141f348a9a\">的顶点在坐标原点，焦点在<i>x</i>轴上，且过点(2，4)，圆<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/64d7ec24-4ff8-479e-8fb6-72d8a0e6de43/paper.files/image002.png\" alt=\"eqId8b507f835d504873bb2dfb1439722eb4\">，过圆心<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/64d7ec24-4ff8-479e-8fb6-72d8a0e6de43/paper.files/image003.png\" alt=\"eqIdfe33ac7524b14f658e64c52c37499d5c\">的直线<i>l</i>与抛物线和圆分别交于P，Q，M，N，则<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/64d7ec24-4ff8-479e-8fb6-72d8a0e6de43/paper.files/image004.png\" alt=\"eqId3bf220b13a684819996c8063b0c9337f\">的最小值为________．<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/64d7ec24-4ff8-479e-8fb6-72d8a0e6de43/paper.files/image005.png\" alt=\"figure\"></div>","QuesAnswer":"","QuesParse":"","UseSum":131,"AvgScore":5.0,"ParseAnswerKey":"d9868dc6048de82c17e00ee695393923","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2019·湖南高二期末（文）","PaperSource":[{"Id":465242,"PaperTitle":"湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题","LearnGrade":11,"PaperType":5,"Province":430000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-02-12T16:37:04","SchoolId":0,"MatchingDegree":0}]},{"ID":7570565,"Guid":"a876fdc8-d1cc-43de-85ab-e4e2aa04a123","Title":"湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","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":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=\"29404\" type=\"1\">茎叶图</category><category id=\"29431\" type=\"1\">观察茎叶图比较数据的特征</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=\"29478\" type=\"1\">列联表</category><category id=\"29481\" type=\"1\">完善列联表</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=\"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\" 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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=\"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=\"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=\"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=\"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=\"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=\"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=\"81924\" type=\"0\">4.3 列联表独立性分析案例</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>","ChildNum":1,"Time":"2019-02-12T16:37:51","QuesBody":"<div>【题文】某学生对某小区30位居民的饮食习惯进行了一次调查，并用如图所示的茎叶图表示他们的饮食指数(说明：图中饮食指数低于70的人，饮食以蔬菜为主；饮食指数高于70的，饮食以肉类为主).<br><img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image097.png\"><br>（1）根据茎叶图，说明这30位居民中50岁以上的人的饮食习惯；<br>（2）根据以上数据完成如下2×2列联表；<br><table border=\"1\" cellpadding=\"0\" cellspacing=\"0\"><tbody><tr style=\"height:19.5pt\"><td style=\"width:57.75pt;border:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:19.5pt\" width=\"77\"> <br></td><td style=\"width:54.75pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:19.5pt\" width=\"73\">主食蔬菜<br></td><td style=\"width:58.5pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:19.5pt\" width=\"78\">主食肉类<br></td><td style=\"width:40.5pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:19.5pt\" width=\"54\">总计<br></td></tr><tr style=\"height:19.5pt\"><td style=\"width:57.75pt;border:solid black 1.0pt;border-top:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:19.5pt\" width=\"77\">50岁以下<br></td><td style=\"width:54.75pt;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:19.5pt\" width=\"73\"> <br></td><td style=\"width:58.5pt;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:19.5pt\" width=\"78\"> <br></td><td style=\"width:40.5pt;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:19.5pt\" width=\"54\"> <br></td></tr><tr style=\"height:19.5pt\"><td style=\"width:57.75pt;border:solid black 1.0pt;border-top:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:19.5pt\" width=\"77\">50岁以上<br></td><td style=\"width:54.75pt;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:19.5pt\" width=\"73\"> <br></td><td style=\"width:58.5pt;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:19.5pt\" width=\"78\"> <br></td><td style=\"width:40.5pt;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:19.5pt\" width=\"54\"> <br></td></tr><tr style=\"height:21.75pt\"><td style=\"width:57.75pt;border:solid black 1.0pt;border-top:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:21.75pt\" width=\"77\">总计<br></td><td style=\"width:54.75pt;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:21.75pt\" width=\"73\"> <br></td><td style=\"width:58.5pt;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:21.75pt\" width=\"78\"> <br></td><td style=\"width:40.5pt;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:21.75pt\" width=\"54\"> <br></td></tr></tbody></table> <br>（3）能否有99％的把握认为居民的饮食习惯与年龄有关?<br>独立性检验的临界值表<br><table border=\"1\" cellpadding=\"0\" cellspacing=\"0\"><tbody><tr style=\"height:16.5pt\"><td style=\"width:105.0pt;border:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\" width=\"140\"><img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image098.png\"><br></td><td style=\"width:43.5pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"58\">0.15<br></td><td style=\"width:43.5pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"58\">0.10<br></td><td style=\"width:42.0pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"56\">0.05<br></td><td style=\"width:43.5pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"58\">0.025<br></td><td style=\"width:34.5pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"46\">0.010<br></td><td style=\"width:39.75pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"53\">0.005<br></td><td style=\"width:63.75pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"85\">0.001<br></td></tr><tr style=\"height:16.5pt\"><td style=\"width:105.0pt;border:solid black 1.0pt;border-top:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\" width=\"140\"><img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image099.png\"><br></td><td style=\"width:43.5pt;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=\"58\">2.072<br></td><td style=\"width:43.5pt;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=\"58\">2.706<br></td><td style=\"width:42.0pt;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=\"56\">3.841<br></td><td style=\"width:43.5pt;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=\"58\">5.024<br></td><td style=\"width:34.5pt;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=\"46\">6.635<br></td><td style=\"width:39.75pt;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=\"53\">7.879<br></td><td style=\"width:63.75pt;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=\"85\">10.828<br></td></tr></tbody></table> <br>参考公式：<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image100.png\">，其中<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image101.png\">．</div>","QuesAnswer":"","QuesParse":"","UseSum":308,"AvgScore":5.0,"ParseAnswerKey":"b857eeb194d248fc9b2f232ac1a3df76","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·湖南高二期末（文）","PaperSource":[{"Id":465242,"PaperTitle":"湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题","LearnGrade":11,"PaperType":5,"Province":430000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-02-12T16:37:04","SchoolId":0,"MatchingDegree":0}]},{"ID":7570566,"Guid":"5ebe69c5-9177-4db8-abfd-f4a00f889bf9","Title":"湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","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":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=\"27987\" type=\"1\">简单的逻辑联结词</category><category id=\"28016\" type=\"1\">或且非的综合应用</category><category id=\"28025\" type=\"1\">根据或且非的真假求参数</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=\"29045\" type=\"1\">圆锥曲线</category><category id=\"29171\" type=\"1\">椭圆</category><category id=\"29189\" type=\"1\">椭圆的标准方程</category><category id=\"29205\" type=\"1\">椭圆的方程与椭圆（焦点）位置的特征</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=\"79479\" type=\"0\">§1 椭圆</category><category id=\"79483\" type=\"0\">1.1 椭圆及其标准方程</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=\"79573\" type=\"0\">§1 椭圆</category><category id=\"79578\" type=\"0\">1.1 椭圆及其标准方程</category></item><item><category id=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79842\" type=\"0\">高二第二学期</category><category id=\"79844\" type=\"0\">第十二章 圆锥曲线</category><category id=\"79854\" type=\"0\">12.3椭圆的标准方程</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=\"80122\" type=\"0\">2.1 椭圆</category><category id=\"80126\" type=\"0\">2.1.1 椭圆及其标准方程</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=\"80193\" type=\"0\">2.2 椭圆</category><category id=\"80199\" type=\"0\">2.2.1 椭圆及其标准方程</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=\"80714\" type=\"0\">2.1 椭圆</category><category id=\"80718\" type=\"0\">2.1.1 椭圆及其标准方程</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=\"80779\" type=\"0\">2.2 椭圆</category><category id=\"80786\" type=\"0\">2.2.1 椭圆的标准方程</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=\"81181\" type=\"0\">2.2 椭圆</category><category id=\"81186\" type=\"0\">2.2.1 椭圆的标准方程</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=\"81242\" type=\"0\">2.2 椭圆</category><category id=\"81248\" type=\"0\">2.2.1 椭圆的标准方程</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=\"81618\" type=\"0\">12.3 椭圆的标准方程</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=\"81891\" type=\"0\">2.1 椭圆</category><category id=\"81896\" type=\"0\">2.1.1 椭圆的定义与标准方程</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=\"81958\" type=\"0\">2.1 椭圆</category><category id=\"81964\" type=\"0\">2.1.1 椭圆的定义与标准方程</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:52","QuesBody":"<div>【题文】已知命题<i>p</i>：对<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/6adc22e2-4a1c-4d83-bdc9-78935ed28212/paper.files/image001.png\" alt=\"eqId6709283711bf4ae39fde99d031d3bb28\">，不等式<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/6adc22e2-4a1c-4d83-bdc9-78935ed28212/paper.files/image002.png\" alt=\"eqId2a931690309248dea606e7ec74523759\">恒成立；命题<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/6adc22e2-4a1c-4d83-bdc9-78935ed28212/paper.files/image003.png\" alt=\"eqIda5d0fc594d4048549d5bbda484fbecc8\">：方程<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/6adc22e2-4a1c-4d83-bdc9-78935ed28212/paper.files/image004.png\" alt=\"eqId9794be3fcd2b4ece8adfa91af7a43ffc\">表示焦点在<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/6adc22e2-4a1c-4d83-bdc9-78935ed28212/paper.files/image005.png\" alt=\"eqId072d7d6b911b42bc89207e72515ebf5f\">轴上的椭圆.若<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/6adc22e2-4a1c-4d83-bdc9-78935ed28212/paper.files/image006.png\" alt=\"eqId56cd6a0be2d74b0896f864eff8f2a23e\">为真，且<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/6adc22e2-4a1c-4d83-bdc9-78935ed28212/paper.files/image007.png\" alt=\"eqId58e985f4c1274617875fade491b4d643\">为真，求实数<i>m</i>的取值范围．</div>","QuesAnswer":"","QuesParse":"","UseSum":133,"AvgScore":5.0,"ParseAnswerKey":"b1331b1f9037e62a77354a2457c468e9","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2019·湖南高二期末（文）","PaperSource":[{"Id":465242,"PaperTitle":"湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题","LearnGrade":11,"PaperType":5,"Province":430000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-02-12T16:37:04","SchoolId":0,"MatchingDegree":0}]},{"ID":7570567,"Guid":"274e9a4c-dfc3-487c-81e8-b9870dfb98e5","Title":"湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","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":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=\"29373\" type=\"1\">变量间的相关关系</category><category id=\"29455\" type=\"1\">回归直线方程</category><category id=\"29464\" type=\"1\">用回归直线方程对总体进行估计</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=\"29366\" type=\"1\">统计</category><category id=\"29373\" type=\"1\">变量间的相关关系</category><category id=\"29456\" type=\"1\">最小二乘法</category><category id=\"29466\" type=\"1\">求回归直线方程</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79332\" type=\"0\">必修3</category><category id=\"79333\" type=\"0\">第一章 统计</category><category id=\"79344\" type=\"0\">§8 最小二乘估计</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"79992\" type=\"0\">必修3</category><category id=\"79994\" type=\"0\">第二章 统计</category><category id=\"80008\" type=\"0\">2.3 变量间的相关关系</category><category id=\"80016\" type=\"0\">2.3.2 两个变量的线性相关</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80584\" type=\"0\">必修3</category><category id=\"80586\" type=\"0\">第二章 统计</category><category id=\"80601\" type=\"0\">2.3 变量的相关性</category><category id=\"80610\" type=\"0\">2.3.2 两个变量的线性相关</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81066\" type=\"0\">必修3</category><category id=\"81068\" type=\"0\">第2章 统计</category><category id=\"81086\" type=\"0\">2.4 线性回归方程</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=\"81839\" type=\"0\">第12章 统计学初步</category><category id=\"81856\" type=\"0\">12.4 数据的相关性</category><category id=\"81869\" type=\"0\">12.4.2 回归直线</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82242\" type=\"0\">高三全册</category><category id=\"82243\" type=\"0\">第一章 概率与统计</category><category id=\"82253\" type=\"0\">1.6 线性回归</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:53","QuesBody":"<div>【题文】为了解某地区某种农产品的年产量<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image049.png\">（单位：吨）对价格<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image107.png\">（单位：千元/吨）的影响，对近五年该农产品的年产量和价格统计如下表：<br><table border=\"1\" cellpadding=\"0\" cellspacing=\"0\"><tbody><tr style=\"height:17.25pt\"><td style=\"width:51.0pt;border:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:17.25pt\" width=\"68\"><img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image049.png\"><br></td><td style=\"width:51.0pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:17.25pt\" width=\"68\">1<br></td><td style=\"width:51.0pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:17.25pt\" width=\"68\">2<br></td><td style=\"width:51.0pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:17.25pt\" width=\"68\">3<br></td><td style=\"width:51.0pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:17.25pt\" width=\"68\">4<br></td><td style=\"width:51.0pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:17.25pt\" width=\"68\">5<br></td></tr><tr style=\"height:18.0pt\"><td style=\"width:51.0pt;border:solid black 1.0pt;border-top:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:18.0pt\" width=\"68\"><img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image107.png\"><br></td><td style=\"width:51.0pt;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:18.0pt\" width=\"68\">8<br></td><td style=\"width:51.0pt;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:18.0pt\" width=\"68\">6<br></td><td style=\"width:51.0pt;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:18.0pt\" width=\"68\">5<br></td><td style=\"width:51.0pt;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:18.0pt\" width=\"68\">4<br></td><td style=\"width:51.0pt;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:18.0pt\" width=\"68\">2<br></td></tr></tbody></table> <br>已知<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image049.png\">和<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image107.png\">具有线性相关关系.<br>（1）求<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image117.png\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image118.png\">；<br>（2）求<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image107.png\">关于<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image049.png\">的线性回归方程<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image119.png\">；<br>（3）若年产量为4.5吨，试预测该农产品的价格．<br>附：本题参考公式与参考数据：，<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image120.png\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image121.png\">.<img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image122.png\"></div>","QuesAnswer":"","QuesParse":"","UseSum":181,"AvgScore":5.0,"ParseAnswerKey":"9183f487a4680124a1b81fb97ca70c7f","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·湖南高二期末（文）","PaperSource":[{"Id":465242,"PaperTitle":"湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题","LearnGrade":11,"PaperType":5,"Province":430000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-02-12T16:37:04","SchoolId":0,"MatchingDegree":0}]},{"ID":7570568,"Guid":"85b49794-a437-4043-a71b-c8c79762dfa2","Title":"湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","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":3,"DifValue":0.65,"Name":"一般"},"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=\"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=\"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 古典概念</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></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=\"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></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=\"80620\" type=\"0\">3.2.1 古典概型</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=\"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=\"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=\"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=\"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>","ChildNum":1,"Time":"2019-02-12T16:37:54","QuesBody":"<div>【题文】某校高二期中考试后，教务处计划对全年级数学成绩进行统计分析，从男、女生中各随机抽取100名学生，分别制成了男生和女生数学成绩的频率分布直方图，如图所示.<br><img style=\"vertical-align:middle;\" src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image131.png\"><br>（1）若所得分数大于等于80分认定为优秀，求男、女生优秀人数各有多少人？<br>（2）在（1）中的优秀学生中用分层抽样的方法抽取5人，从这5人中任意任取2人，求至少有1名男生的概率．</div>","QuesAnswer":"","QuesParse":"","UseSum":58,"AvgScore":5.0,"ParseAnswerKey":"0857ef301e58e06509af43d1ffd321f7","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·湖南高二期末（文）","PaperSource":[{"Id":465242,"PaperTitle":"湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题","LearnGrade":11,"PaperType":5,"Province":430000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-02-12T16:37:04","SchoolId":0,"MatchingDegree":0}]},{"ID":7570569,"Guid":"beacdb45-fd05-48b5-a44a-7380640a749d","Title":"湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","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=\"27933\" type=\"1\">平面解析几何</category><category id=\"29045\" type=\"1\">圆锥曲线</category><category id=\"29171\" type=\"1\">椭圆</category><category id=\"29189\" type=\"1\">椭圆的标准方程</category><category id=\"29208\" type=\"1\">根据椭圆过的点求标准方程</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=\"29045\" type=\"1\">圆锥曲线</category><category id=\"29171\" type=\"1\">椭圆</category><category id=\"29194\" type=\"1\">椭圆的离心率</category><category id=\"29219\" type=\"1\">根据离心率求椭圆的标准方程</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=\"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=\"29299\" type=\"1\">椭圆中的定点、定值</category><category id=\"29326\" type=\"1\">椭圆中的定值问题</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=\"79482\" type=\"0\">本章复习与测试</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=\"79479\" type=\"0\">§1 椭圆</category><category id=\"79484\" type=\"0\">1.2 椭圆的简单性质</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=\"79573\" type=\"0\">§1 椭圆</category><category id=\"79579\" type=\"0\">1.2 椭圆的简单性质</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=\"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=\"79775\" type=\"0\">沪教版（上海）</category><category id=\"79842\" type=\"0\">高二第二学期</category><category id=\"79844\" type=\"0\">第十二章 圆锥曲线</category><category id=\"79855\" type=\"0\">12.4椭圆的性质</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=\"80125\" type=\"0\">本章复习与测试</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=\"80122\" type=\"0\">2.1 椭圆</category><category id=\"80127\" type=\"0\">2.1.2 椭圆的简单几何性质</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=\"80196\" type=\"0\">本章复习与测试</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=\"80193\" type=\"0\">2.2 椭圆</category><category id=\"80200\" type=\"0\">2.2.2 椭圆的简单几何性质</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=\"80717\" type=\"0\">本章复习与测试</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=\"80714\" type=\"0\">2.1 椭圆</category><category id=\"80719\" type=\"0\">2.1.2 椭圆的几何性质</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=\"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=\"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=\"81181\" type=\"0\">2.2 椭圆</category><category id=\"81187\" type=\"0\">2.2.2 椭圆的几何性质</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=\"81242\" type=\"0\">2.2 椭圆</category><category id=\"81249\" type=\"0\">2.2.2 椭圆的几何性质</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=\"81894\" type=\"0\">2.4 圆锥曲线的应用</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=\"81961\" type=\"0\">2.4 圆锥曲线的应用</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=\"81247\" 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=\"80779\" type=\"0\">2.2 椭圆</category><category id=\"80787\" type=\"0\">2.2.2 椭圆的几何性质</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=\"81619\" type=\"0\">12.4 椭圆的性质</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=\"81891\" type=\"0\">2.1 椭圆</category><category id=\"81897\" type=\"0\">2.1.2 椭圆的简单几何性质</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=\"81958\" type=\"0\">2.1 椭圆</category><category id=\"81965\" type=\"0\">2.1.2 椭圆的简单几何性质</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:55","QuesBody":"<div>【题文】在直角坐标系<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/3ccf2345-bffe-4cf4-973a-64ef3106506b/paper.files/image001.png\" alt=\"eqId2272a344734c4fb088737b84294f7219\">中，椭圆<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/3ccf2345-bffe-4cf4-973a-64ef3106506b/paper.files/image002.png\" alt=\"eqIdc3b97a393de447caa56c33f22b32bf2d\"><img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/3ccf2345-bffe-4cf4-973a-64ef3106506b/paper.files/image003.png\" alt=\"eqIdf18b5700afd748c9af08fbce0977010b\">的离心率为<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/3ccf2345-bffe-4cf4-973a-64ef3106506b/paper.files/image004.png\" alt=\"eqIddb6b28cbd8a14caa9cf1146f6f7916c0\">，椭圆短轴上的一个顶点为<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/3ccf2345-bffe-4cf4-973a-64ef3106506b/paper.files/image005.png\" alt=\"eqId0b8f3954b0d742599fb174f85fb3c91f\">．<br>（1）求椭圆<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/3ccf2345-bffe-4cf4-973a-64ef3106506b/paper.files/image006.png\" alt=\"eqId19a4eb16029e4550a14f2afe4741a3c3\">的方程；<br>（2）已知点<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/3ccf2345-bffe-4cf4-973a-64ef3106506b/paper.files/image007.png\" alt=\"eqId9abda9b3157e492b9376adc9211927d4\">，动直线<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/3ccf2345-bffe-4cf4-973a-64ef3106506b/paper.files/image008.png\" alt=\"eqIdca2562bc01c14710825ecd4b6cfd2906\">与椭圆<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/3ccf2345-bffe-4cf4-973a-64ef3106506b/paper.files/image006.png\" alt=\"eqId19a4eb16029e4550a14f2afe4741a3c3\">相交于<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/3ccf2345-bffe-4cf4-973a-64ef3106506b/paper.files/image009.png\" alt=\"eqId8e6acd891f5c4ee58e49a1a58ccdf866\">两点，若直线<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/3ccf2345-bffe-4cf4-973a-64ef3106506b/paper.files/image010.png\" alt=\"eqId77af6c3f7ba346e18b62006cc002dc52\">的斜率均存在，求证：直线<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/3ccf2345-bffe-4cf4-973a-64ef3106506b/paper.files/image011.png\" alt=\"eqId55cb7749a1724da4bba612e010232667\">的斜率依次成等差数列．</div>","QuesAnswer":"","QuesParse":"","UseSum":159,"AvgScore":5.0,"ParseAnswerKey":"c48ece766eee7c79450be6f60d8690f5","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2019·湖南高二期末（文）","PaperSource":[{"Id":465242,"PaperTitle":"湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题","LearnGrade":11,"PaperType":5,"Province":430000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-02-12T16:37:04","SchoolId":0,"MatchingDegree":0}]},{"ID":7570570,"Guid":"cfe3b8c0-429e-45bb-befe-471ab50593a4","Title":"湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","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":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=\"28044\" type=\"1\">导数及其应用</category><category id=\"28257\" 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type=\"0\">选修2-2</category><category id=\"81269\" type=\"0\">第1章 导数及其应用</category><category id=\"81273\" type=\"0\">1.1 导数的概念</category><category id=\"81279\" type=\"0\">1.1.1 平均变化率</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=\"81902\" type=\"0\">3.1 导数概念</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82242\" type=\"0\">高三全册</category><category id=\"82245\" type=\"0\">第三章 导数</category><category id=\"82268\" type=\"0\">3.1 导数的概念</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:57","QuesBody":"<div>【题文】设函数<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/a1ef9c23-7e05-44c9-896f-91070242f6cd/paper.files/image001.png\" alt=\"eqIdd8e9607cf5244371b4a087fa6ac70196\">．<br>（1）求曲线<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/a1ef9c23-7e05-44c9-896f-91070242f6cd/paper.files/image002.png\" alt=\"eqId4837c94ef0ff4dcf9b1dda4df363275a\">在点<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/a1ef9c23-7e05-44c9-896f-91070242f6cd/paper.files/image003.png\" alt=\"eqIdb45b83c6a78e45068b7cee2dc1d3f00c\">处的切线方程；<br>（2）若<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/a1ef9c23-7e05-44c9-896f-91070242f6cd/paper.files/image004.png\" alt=\"eqId46eff791eba8465ab46865bf4c9d9f5f\">对<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/a1ef9c23-7e05-44c9-896f-91070242f6cd/paper.files/image005.png\" alt=\"eqIdd33caf0f775e4e1292c2d556ce120ca2\">恒成立，求实数<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/a1ef9c23-7e05-44c9-896f-91070242f6cd/paper.files/image006.png\" alt=\"eqId70a27b6ddf6b478285353abb3b1f3741\">的取值范围；<br>（3）求整数<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/a1ef9c23-7e05-44c9-896f-91070242f6cd/paper.files/image007.png\" alt=\"eqIdf458db68122849abb588feb2e682d9ac\">的值，使函数<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/a1ef9c23-7e05-44c9-896f-91070242f6cd/paper.files/image008.png\" alt=\"eqIdf846258f54a8460dace050bd0167abaf\">在区间<img style=\"vertical-align:middle;\" src=\"Upload/2019-08/06/a1ef9c23-7e05-44c9-896f-91070242f6cd/paper.files/image009.png\" alt=\"eqId106dee1033ef41158f2b37c03ec5358e\">上有零点．</div>","QuesAnswer":"","QuesParse":"","UseSum":236,"AvgScore":5.0,"ParseAnswerKey":"28f8b8798080d9d7a96623cafff9132c","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2019·湖南高二期末（文）","PaperSource":[{"Id":465242,"PaperTitle":"湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题","LearnGrade":11,"PaperType":5,"Province":430000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-02-12T16:37:04","SchoolId":0,"MatchingDegree":0}]}],"bankId":0,"PaperQuesCount":22,"ReadSum":54,"schoolId":0}
