贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题
适用年级：高三试卷类型：月考试题总数：23浏览次数：122上传日期：2019/12/3
1 . 已知集合
，则
（ ）
难度系数：0.94使用：86次题型：单选题更新：2019/12/3
2 .
（ ）
难度系数：0.94使用：129次题型：单选题更新：2019/12/3
3 . 2019年篮球世界杯中，两位队员每场比赛得分的茎叶图如图所示，若甲得分的众数是18，乙得分的中位数是15，则
（ ）
难度系数：0.85使用：257次题型：单选题更新：2019/12/3
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src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image003.png\" alt=\"eqId55d55b6bb174468fa5079f56459267a6\"></td><td width=\"25%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image004.png\" alt=\"eqId9ca263f294d84075b84adecce1b79acf\"></td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image005.png\" alt=\"eqIdbf571fc186f64e87b3e70f4d826a8110\"></td><td width=\"25%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image006.png\" alt=\"eqId83c71224d55149ff8d072c7e479cb931\"></td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":86,"AvgScore":5.0,"ParseAnswerKey":"9ae869226383f34267c2f5311db1a161","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0},{"Id":605080,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-11-26T14:41:40","SchoolId":0,"MatchingDegree":0}]},{"ID":9018906,"Guid":"beab3590-2bb5-43a4-b1a0-193f9717fec9","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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":1,"DifValue":0.94,"Name":"容易"},"Categories":"<item><category 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type=\"0\">选修2-2</category><category id=\"81982\" type=\"0\">第5章 数系的扩充与复数</category><category id=\"82006\" type=\"0\">5.3 复数的四则运算</category></item>","ChildNum":1,"Time":"2019-12-03T12:08:56","QuesBody":"<div>【题文】<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image013.png\" alt=\"eqIdf02e9fc87f2047d2a35a369b3fbe2f3f\">（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image014.png\" alt=\"eqIdc736011952d54e259040445802acf75c\"></td><td width=\"25%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image015.png\" alt=\"eqId2b7c15def7b14be7aae3e690ab2c144b\"></td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image016.png\" alt=\"eqId7ad11bb144084ac1a968893f8c97a955\"></td><td width=\"25%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image017.png\" alt=\"eqId360f2c93cd394873aab6cde9766791d2\"></td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":129,"AvgScore":5.0,"ParseAnswerKey":"729a92f4a9a0a456bb6c7c525c719daa","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0},{"Id":605080,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-11-26T14:41:40","SchoolId":0,"MatchingDegree":0}]},{"ID":9018907,"Guid":"8de5efa9-58cf-41a4-8791-f1e41ada5fb7","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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 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平均数及其估计</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=\"81855\" type=\"0\">12.3 用样本分布估计总体分布</category><category id=\"81867\" type=\"0\">12.3.4 数据茎叶图</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=\"135706\" type=\"0\">第六章 统计</category><category id=\"135794\" type=\"0\">4 用样本估计总体数字特征</category><category id=\"135809\" type=\"0\">4.1 样本的数字特征</category></item>","ChildNum":1,"Time":"2019-12-03T12:08:57","QuesBody":"<div>【题文】2019年篮球世界杯中，两位队员每场比赛得分的茎叶图如图所示，若甲得分的众数是18，乙得分的中位数是15，则<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image019.png\" alt=\"eqId8ba2412c62ae4679919615b3361cfed8\">（ ）<br><img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image020.png\" alt=\"figure\"><table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．15</td><td width=\"25%\">B．8</td><td width=\"25%\">C．13</td><td width=\"25%\">D．33</td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":257,"AvgScore":5.0,"ParseAnswerKey":"8073b5c72387114e2154fa36ed0ff403","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0},{"Id":605080,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-11-26T14:41:40","SchoolId":0,"MatchingDegree":0}]},{"ID":9018908,"Guid":"a21edc4b-d2db-4208-afa5-53ce3f9be4e8","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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 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id=\"81785\" type=\"0\">4.5.3 利用坐标计算数量积</category></item>","ChildNum":1,"Time":"2019-12-03T12:08:58","QuesBody":"<div>【题文】已知向量<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/c4c261dd-c7bf-4382-b40a-f9c35cef12f3/paper.files/image001.png\" alt=\"eqId9d4f2916a63a4732b0956087d73c6330\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/c4c261dd-c7bf-4382-b40a-f9c35cef12f3/paper.files/image002.png\" alt=\"eqId3354fe4e9ad04d1ea1780fcce00b9577\">，则<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/c4c261dd-c7bf-4382-b40a-f9c35cef12f3/paper.files/image003.png\" alt=\"eqIde3cc4d0e4b6c469cb27f26eaa5d85ee0\">（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．7</td><td width=\"25%\">B．8</td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/c4c261dd-c7bf-4382-b40a-f9c35cef12f3/paper.files/image004.png\" alt=\"eqId3f2b86da66bf425c9e1288e4762cd104\"></td><td width=\"25%\">D．9</td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":224,"AvgScore":5.0,"ParseAnswerKey":"c5facf58237f85e7aa536f8165df4e41","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0},{"Id":605080,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-11-26T14:41:40","SchoolId":0,"MatchingDegree":0}]},{"ID":9018909,"Guid":"6832b8bf-f5f1-4974-9176-ab5bfa38d4c2","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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=\"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=\"79260\" type=\"0\">§5 简单的幂函数</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=\"79780\" type=\"0\">第4章 幂函数、指数函数和对数函数(上）</category><category id=\"79800\" type=\"0\">4.1 幂函数的性质与图像</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"79904\" type=\"0\">必修1</category><category id=\"79906\" type=\"0\">第二章 基本初等函数（1）</category><category id=\"79922\" type=\"0\">2.3 幂函数</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80513\" type=\"0\">必修1</category><category id=\"80516\" type=\"0\">第三章 基本初等函数(Ⅰ)</category><category id=\"80542\" type=\"0\">3.3 幂函数</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81005\" type=\"0\">必修1</category><category id=\"81008\" type=\"0\">第3章 指数函数、对数函数和幂函数</category><category id=\"81024\" type=\"0\">3.3 幂函数</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81721\" type=\"0\">必修第一册</category><category id=\"81723\" type=\"0\">第2章 指数函数、对数函数和幂函数</category><category id=\"81741\" type=\"0\">2.3 幂函数</category><category id=\"81751\" type=\"0\">2.3.2 幂函数的图象和性质</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=\"135309\" type=\"0\">第三章 函数概念与性质</category><category id=\"135340\" type=\"0\">3.3 幂函数</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=\"135704\" type=\"0\">第四章 对数运算和对数函数</category><category id=\"135761\" type=\"0\">3 对数函数</category><category id=\"135776\" type=\"0\">3.3 对数函数y=loga x的图像和性质</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=\"28042\" type=\"1\">指对幂函数</category><category id=\"28124\" type=\"1\">对数函数</category><category id=\"28166\" type=\"1\">对数函数的单调性</category><category id=\"153178\" type=\"1\">比较对数式的大小</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=\"28042\" type=\"1\">指对幂函数</category><category id=\"28125\" type=\"1\">幂函数</category><category id=\"28205\" type=\"1\">幂函数的单调性</category><category id=\"153181\" type=\"1\">由幂函数的单调性比较大小</category></item><item><category id=\"136156\" type=\"0\">人教B版（2019）</category><category id=\"153451\" type=\"0\">必修（第二册）</category><category id=\"153480\" type=\"0\">第四章 指数函数、对数函数与幂函数</category><category id=\"153489\" type=\"0\">4.4 幂函数</category></item>","ChildNum":1,"Time":"2019-12-03T12:08:59","QuesBody":"<div>【题文】已知<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/76c98d60-8dc0-409b-b34a-c220844c635e/paper.files/image001.png\" alt=\"eqId8a3f176e269c43adb84db299dbaaf129\">，则（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/76c98d60-8dc0-409b-b34a-c220844c635e/paper.files/image002.png\" alt=\"eqId45615ef0900647268b98d1d5eeb28a58\"></td><td width=\"25%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/76c98d60-8dc0-409b-b34a-c220844c635e/paper.files/image003.png\" alt=\"eqIde20b3cdceb054975bbbb3a4598602baf\"></td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/76c98d60-8dc0-409b-b34a-c220844c635e/paper.files/image004.png\" alt=\"eqId98df60d61acf40a38ea6e88af8316379\"></td><td width=\"25%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/76c98d60-8dc0-409b-b34a-c220844c635e/paper.files/image005.png\" alt=\"eqId0d0cc8a6003c4e21bacd608a53c711cf\"></td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":148,"AvgScore":5.0,"ParseAnswerKey":"7ea1821cc3e0b8c357aa6e6f05bc6553","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0},{"Id":605080,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-11-26T14:41:40","SchoolId":0,"MatchingDegree":0}]},{"ID":9018910,"Guid":"56863291-5e71-4b72-b05b-cd6b0dfe883e","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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=\"79243\" type=\"0\">北师大版</category><category id=\"79458\" type=\"0\">选修1-1</category><category id=\"79461\" type=\"0\">第三章 变化率与导数</category><category id=\"79491\" type=\"0\">§3 计算导数</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=\"79589\" type=\"0\">第二章 变化率与导数</category><category id=\"79606\" type=\"0\">§4 导数的四则运算法则</category><category id=\"79612\" type=\"0\">4.2 导数的乘法与除法法则</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=\"80133\" type=\"0\">3.2 导数的计算</category><category id=\"80140\" type=\"0\">3.2.1 几个常用函数的导数</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=\"80219\" type=\"0\">1.2 导数的计算</category><category id=\"80229\" type=\"0\">1.2.1 几个常用函数的导数</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=\"80725\" type=\"0\">3.2 导数的运算</category><category id=\"80732\" type=\"0\">3.2.2 导数公式表</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=\"80810\" type=\"0\">1.2 导数的运算</category><category id=\"80819\" type=\"0\">1.2.3 导数的四则运算法则</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=\"81193\" type=\"0\">3.2 导数的运算</category><category id=\"81200\" type=\"0\">3.2.2 函数的和、差、积、商的导数</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=\"81274\" type=\"0\">1.2 导数的运算</category><category id=\"81282\" type=\"0\">1.2.2 函数的和、差、积、商的导数</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=\"81903\" type=\"0\">3.2 导数的运算</category><category id=\"81912\" type=\"0\">3.2.3 导数的运算法则</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=\"81986\" type=\"0\">4.2 导数的运算</category><category id=\"81996\" type=\"0\">4.2.3 导数的运算法则</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=\"28258\" type=\"1\">导数的计算</category><category id=\"154569\" type=\"1\">求某点处的导数值</category></item>","ChildNum":1,"Time":"2019-12-03T12:09:00","QuesBody":"<div>【题文】已知函数<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image044.png\" alt=\"eqId4837c94ef0ff4dcf9b1dda4df363275a\">的导函数为<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image045.png\" alt=\"eqIdd26cd9f8ad374ae192a20aada45c1618\">，且<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image046.png\" alt=\"eqId5bcc7f5ccdcf46f3a8340129c304f7f8\">，则<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image047.png\" alt=\"eqIdade432054a9048ea96390364c660dd8a\">（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．2</td><td width=\"25%\">B．3</td><td width=\"25%\">C．4</td><td width=\"25%\">D．5</td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":304,"AvgScore":5.0,"ParseAnswerKey":"b00150f6ad14e3b057675262e240fb4d","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0},{"Id":605080,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-11-26T14:41:40","SchoolId":0,"MatchingDegree":0}]},{"ID":9018911,"Guid":"4822576e-a3f0-4e9b-ac65-cb6c7c20c133","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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=\"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=\"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=\"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=\"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=\"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><category id=\"81938\" type=\"0\">6.3 程序框图</category></item>","ChildNum":1,"Time":"2019-12-03T12:09:01","QuesBody":"<div>【题文】执行下面的程序框图，若输入的<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image052.png\" alt=\"eqIdbfdb60698f1d4893abb8dccc4d73db7f\">，则输出的<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image007.png\" alt=\"eqIdcc614bd3390c4d028df189b234dcc351\">的值为（ ）<br><img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image053.png\" alt=\"figure\"><table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．7</td><td width=\"25%\">B．-17</td><td width=\"25%\">C．31</td><td width=\"25%\">D．-65</td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":235,"AvgScore":5.0,"ParseAnswerKey":"5a960efad695716c60f51112890b5972","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0},{"Id":605080,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-11-26T14:41:40","SchoolId":0,"MatchingDegree":0}]},{"ID":9018912,"Guid":"4bea2703-9189-4540-b9e5-ff7c121bffab","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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":4,"DifValue":0.4,"Name":"较难"},"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=\"28809\" type=\"1\">空间几何体的三视图和直观图</category><category id=\"28859\" type=\"1\">三视图</category><category id=\"28868\" type=\"1\">由三视图还原几何体</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=\"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=\"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><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=\"80554\" type=\"0\">1.1 空间几何体</category><category id=\"80563\" type=\"0\">1.1.7 柱、锥、台和球的体积</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":"2019-12-03T12:09:02","QuesBody":"<div>【题文】某几何体的三视图如图所示，则该几何体的体积为（ ）<br><img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image060.png\" alt=\"figure\"><table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image061.png\" alt=\"eqIde72c898310bf4fb1a72beeaf8a335d66\"></td><td width=\"25%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image062.png\" alt=\"eqId7f4cbc932b504200bd85e1dbb4d96181\"></td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image063.png\" alt=\"eqId44821efbbe924150b62b015dc406cbb4\"></td><td width=\"25%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image064.png\" alt=\"eqId58e0fe62beab48bcb3d84ad45180503e\"></td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":389,"AvgScore":5.0,"ParseAnswerKey":"80b221a3c4cac947942d53292af418cc","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0},{"Id":605080,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-11-26T14:41:40","SchoolId":0,"MatchingDegree":0}]},{"ID":9018913,"Guid":"325e6775-b362-422b-bfaa-a00c48afd694","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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=\"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=\"28499\" type=\"1\">描述正（余）弦型函数图象的变换过程</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=\"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=\"80631\" type=\"0\">1.3 三角函数的图象与性质</category><category id=\"80640\" type=\"0\">1.3.2 余弦函数、正切函数的图象与性质</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=\"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=\"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=\"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=\"156614\" type=\"0\">6.3 函数y=Asin(ωx+φ)的图像与性质</category></item>","ChildNum":1,"Time":"2019-12-03T12:09:03","QuesBody":"<div>【题文】已知函数<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/b9a9a555-ca73-4117-bdbf-a879a82051c1/paper.files/image001.png\" alt=\"eqIdaf62b8bc805042f59ca4d51eadc4e087\">，要得到<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/b9a9a555-ca73-4117-bdbf-a879a82051c1/paper.files/image002.png\" alt=\"eqIdd8ae1ffea63043ceab3b5355cea1fefc\">的图象，只需将<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/b9a9a555-ca73-4117-bdbf-a879a82051c1/paper.files/image003.png\" alt=\"eqId4837c94ef0ff4dcf9b1dda4df363275a\">的图象（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"50%\">A．向左平移<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/b9a9a555-ca73-4117-bdbf-a879a82051c1/paper.files/image004.png\" alt=\"eqIdb47bf79338b1478a89eac53d16970cdf\">个单位长度</td><td width=\"50%\">B．向右平移<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/b9a9a555-ca73-4117-bdbf-a879a82051c1/paper.files/image005.png\" alt=\"eqId1cd99d07edc94b00aca138e60139d5ff\">个单位长度</td></tr><tr><td width=\"50%\">C．向右平移<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/b9a9a555-ca73-4117-bdbf-a879a82051c1/paper.files/image004.png\" alt=\"eqIdb47bf79338b1478a89eac53d16970cdf\">个单位长度</td><td width=\"50%\">D．向左平移<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/b9a9a555-ca73-4117-bdbf-a879a82051c1/paper.files/image005.png\" alt=\"eqId1cd99d07edc94b00aca138e60139d5ff\">个单位长度</td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":372,"AvgScore":5.0,"ParseAnswerKey":"a76c4bf945d4a624358ea7e8d3cab3a5","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0},{"Id":605080,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-11-26T14:41:40","SchoolId":0,"MatchingDegree":0}]},{"ID":9018914,"Guid":"e289a425-c4b6-4faf-9e65-eed2028aa4ae","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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=\"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=\"28900\" type=\"1\">直线、平面垂直的判定与性质</category><category id=\"28947\" type=\"1\">线面垂直的判定</category><category id=\"28956\" type=\"1\">判断线面是否垂直</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=\"79301\" type=\"0\">§6 垂直关系</category><category id=\"79312\" type=\"0\">6.1 垂直关系的判定</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=\"79869\" type=\"0\">第十四章 空间直线与平面</category><category id=\"79875\" type=\"0\">14.3 空间直线与平面的位置关系</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=\"79954\" type=\"0\">2.3 直线、平面垂直的判定及其性质</category><category id=\"79964\" type=\"0\">2.3.1 直线与平面垂直的判定</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=\"80566\" type=\"0\">1.2.3 空间中的垂直关系</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=\"81038\" type=\"0\">1.2 点、线、面之间的位置关系</category><category id=\"81047\" type=\"0\">1.2.3 直线与平面的位置关系</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=\"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=\"81804\" type=\"0\">6.2.3 垂直关系</category></item>","ChildNum":1,"Time":"2019-12-03T12:09:04","QuesBody":"<div>【题文】如图，在正方形<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image077.png\" alt=\"eqId5ce7a06ae7a34393b92b5277978ac014\">中，<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image078.png\" alt=\"eqIdc3bc315778fd47ef9822f0554c98bd79\">分别是<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image079.png\" alt=\"eqIdae420327c724455b91062bb4e78b6957\">的中点，<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image080.png\" alt=\"eqId92869ac114124367b45f631d030ed6bd\">是<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image081.png\" alt=\"eqId1a0830891ff846de8422ea80714ecab4\">的中点.现在沿<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image082.png\" alt=\"eqId684d8f087eeb4ae1a06e4cae78c5338d\">及<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image081.png\" alt=\"eqId1a0830891ff846de8422ea80714ecab4\">把这个正方形折成一个空间图形，使<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image083.png\" alt=\"eqId46b914b8b8db49f889285467f545e03b\">三点重合，重合后的点记为<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image084.png\" alt=\"eqId7412be7a456647e695421020b620936e\">，下列说法：<br><img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image085.png\" alt=\"figure\"><br>①<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image086.png\" alt=\"eqIdbd436997ac874957871809c928bead9e\">平面<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image087.png\" alt=\"eqId86070f774b844a779467ab22b6933976\">；②<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image088.png\" alt=\"eqId4685981cbfc449229616857239397cae\">平面<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image087.png\" alt=\"eqId86070f774b844a779467ab22b6933976\">；<br>③<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image089.png\" alt=\"eqIdfb1e837b7f744846b8dd48d84f839930\">平面<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image090.png\" alt=\"eqId06b10ab8baad426eb8fd7e39936463f3\">；④<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image091.png\" alt=\"eqId1fd9035871a549b0b4bd837bb6bec60a\">平面<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image092.png\" alt=\"eqId59ba42088e944332a1be671aeb031182\">.<br>其中正确的有（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．1个</td><td width=\"25%\">B．2个</td><td width=\"25%\">C．3个</td><td width=\"25%\">D．4个</td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":289,"AvgScore":5.0,"ParseAnswerKey":"43d937ad25f422f3026a722b2065a93b","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0},{"Id":605080,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-11-26T14:41:40","SchoolId":0,"MatchingDegree":0}]},{"ID":9064595,"Guid":"1daa93c9-b5ec-4bca-b7e0-f8a1645f154c","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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":4,"DifValue":0.4,"Name":"较难"},"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=\"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><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=\"80554\" type=\"0\">1.1 空间几何体</category><category id=\"80563\" type=\"0\">1.1.7 柱、锥、台和球的体积</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":"2019-12-03T12:09:04","QuesBody":"<div>【题文】如图，正方体<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image066.png\" alt=\"eqId588284d93dc5489295f8f224f8e30d13\">的棱长为<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image099.png\" alt=\"eqIdcf4f7a91e7f54b3382c06e2bfa6fb85a\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image100.png\" alt=\"eqId93cbffaa5ae045d6ac45d1e979991c3a\">为<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image101.png\" alt=\"eqIdea82c30b37894b1bb742dee61200db07\">的中点，动点<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image102.png\" alt=\"eqIdd7be5abad1e34f6db17a56660de8d54f\">从点<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image043.png\" alt=\"eqId0cd8063abf2b458f80091bc51b75a904\">出发，沿<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image103.png\" alt=\"eqId48b3a44d74d64820a924f54a31d826b2\">运动，最后返回<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image043.png\" alt=\"eqId0cd8063abf2b458f80091bc51b75a904\">.已知<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image102.png\" alt=\"eqIdd7be5abad1e34f6db17a56660de8d54f\">的运动速度为<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image104.png\" alt=\"eqId0976855a45df41269ce33d5b059f84d2\">，那么三棱锥<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image105.png\" alt=\"eqIdefc75e69b7c740b6b3d81ae6b14aa795\">的体积<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image106.png\" alt=\"eqId072d7d6b911b42bc89207e72515ebf5f\">（单位：<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image107.png\" alt=\"eqId11ffb94467a246dc8bd39dec5f7f0ee8\">）关于时间<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image108.png\" alt=\"eqId8e15963708e9415da25069fea5906e24\">（单位：<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image109.png\" alt=\"eqId08191f2c12324f94b4ddfe2f324a71cf\">）的函数图象大致为（ ）<br><img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image110.png\" alt=\"figure\"><table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"50%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image111.png\" alt=\"figure\"></td><td width=\"50%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image112.png\" alt=\"figure\"></td></tr><tr><td width=\"50%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image113.png\" alt=\"figure\"></td><td width=\"50%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image114.png\" alt=\"figure\"></td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":63,"AvgScore":5.0,"ParseAnswerKey":"950b4e3eb2115d369cadac372f2ed182","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0}]},{"ID":9064596,"Guid":"c19ea5bf-6b6b-4c55-a1cb-9773faf262b6","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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":4,"DifValue":0.4,"Name":"较难"},"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=\"28772\" type=\"1\">非线性的可行域与目标函数</category><category id=\"28788\" type=\"1\">与圆有关的可行域的最值</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79422\" type=\"0\">必修5</category><category id=\"79425\" type=\"0\">第三章 不等式</category><category id=\"79447\" type=\"0\">§4 简单线性规划</category><category id=\"79456\" type=\"0\">4.2 简单线性规划</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80073\" type=\"0\">必修5</category><category id=\"80076\" type=\"0\">第三章 不等式</category><category id=\"80094\" type=\"0\">3.3 二元一次不等式（组）与简单的线性规划问题</category><category id=\"80100\" type=\"0\">3.3.2 简单的线性规划问题</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80669\" type=\"0\">必修5</category><category id=\"80672\" type=\"0\">第三章 不等式</category><category id=\"80693\" type=\"0\">3.5 二元一次不等式（组）与简单线性规划问题</category><category id=\"80698\" type=\"0\">3.5.2 简单线性规划</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=\"81821\" type=\"0\">第10章 不等式</category><category id=\"81835\" type=\"0\">10.4 简单线性规划</category></item>","ChildNum":1,"Time":"2019-12-03T12:09:05","QuesBody":"<div>【题文】已知函数<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image138.png\" alt=\"eqId290e44f27b4c4054ba0a4fd0047c869d\">，若<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image139.png\" alt=\"eqId8da476a83cca471bbed1e11b4fbdd6d2\">，则<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image140.png\" alt=\"eqId0ceafe594b1444d5849c71551ffb78cc\">的取值范围是（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image141.png\" alt=\"eqIdc304b2e8c71e41da8c5d257ffd8422a6\"></td><td width=\"25%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image142.png\" alt=\"eqIdae6752789f7747c09b2d57805e592117\"></td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image143.png\" alt=\"eqId1e0d63b088ce41f78a40c9a0b97e7bbe\"></td><td width=\"25%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image144.png\" alt=\"eqId15370fa2e2d748e1b8d18f6459435bc1\"></td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":63,"AvgScore":5.0,"ParseAnswerKey":"425727647e5bf3d87b8bb9288d5e0a19","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0}]},{"ID":9064597,"Guid":"4a206df0-6c16-4ab5-afc2-58be81597f7f","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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=\"27934\" type=\"1\">计数原理与概率统计</category><category id=\"29366\" type=\"1\">统计</category><category id=\"29371\" type=\"1\">随机抽样</category><category id=\"29378\" type=\"1\">分层抽样</category><category id=\"29393\" type=\"1\">抽样比、样本总量、各层总数、总体容量的计算</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=\"79338\" type=\"0\">§2 抽样方法</category><category id=\"79347\" type=\"0\">2.2 分层抽样与系统抽样</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=\"79893\" type=\"0\">第十八章 基本统计方法</category><category id=\"79899\" type=\"0\">18.2 抽样技术</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=\"80006\" type=\"0\">2.1 随机抽样</category><category id=\"80012\" type=\"0\">2.1.3 分层抽样</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=\"80599\" type=\"0\">2.1 随机抽样</category><category id=\"80605\" type=\"0\">2.1.3 分层抽样</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=\"81083\" type=\"0\">2.1 抽样方法</category><category id=\"81090\" type=\"0\">2.1.3 分层抽样</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=\"81863\" type=\"0\">12.2.3 分层抽样和系统抽样</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=\"135706\" type=\"0\">第六章 统计</category><category id=\"135792\" type=\"0\">2 抽样的基本方法</category><category id=\"135804\" type=\"0\">2.2 分层随机抽样</category></item>","ChildNum":1,"Time":"2019-12-03T12:09:06","QuesBody":"<div>【题文】某学校高一、高二、高三年级的学生人数成等差数列，现用分层抽样的方法从这三个年级中抽取90人，则应从高二年级抽取的学生人数为___________.</div>","QuesAnswer":"","QuesParse":"","UseSum":82,"AvgScore":5.0,"ParseAnswerKey":"ed10927b3cc9f8dd56371537ec727542","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0}]},{"ID":9064598,"Guid":"f06d59df-f480-4481-b3de-85c8b7958fac","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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":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=\"29044\" type=\"1\">圆与方程</category><category id=\"29119\" type=\"1\">直线与圆的位置关系</category><category id=\"29141\" type=\"1\">圆的切线方程</category><category id=\"29150\" type=\"1\">切线长</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=\"79328\" type=\"0\">2.3 直线与圆、圆与圆的位置关系</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=\"79853\" type=\"0\">12.2 圆的方程</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"79935\" type=\"0\">必修2</category><category id=\"79939\" type=\"0\">第四章 圆与方程</category><category id=\"79982\" type=\"0\">4.2 直线、圆的位置关系</category><category id=\"79987\" type=\"0\">4.2.1 直线与圆的位置关系</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80550\" 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=\"80580\" type=\"0\">2.3.3 直线与圆的位置关系</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=\"81062\" type=\"0\">2.2.2 直线与圆的位置关系</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=\"81817\" type=\"0\">7.3.3 直线与圆、圆与圆的位置关系</category></item>","ChildNum":1,"Time":"2019-12-03T12:09:07","QuesBody":"<div>【题文】过直线<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image160.png\" alt=\"eqId33685f86e9f6476fa7543962ebf6cfbc\">上的任意一点作圆<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image161.png\" alt=\"eqId576d778761eb4358a819f3a5f6ece401\">的切线，则切线长的最小值为__________.</div>","QuesAnswer":"","QuesParse":"","UseSum":148,"AvgScore":5.0,"ParseAnswerKey":"988f137b8af2ea86b58bc02ddb8e54bd","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0}]},{"ID":9064599,"Guid":"4351c767-a163-48c9-96b9-dedc79211121","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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":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=\"29368\" type=\"1\">计数原理</category><category id=\"29491\" type=\"1\">排列组合综合</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><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=\"79635\" type=\"0\">选修2-3</category><category id=\"79636\" type=\"0\">第一章 计数原理</category><category id=\"79643\" type=\"0\">§4 简单计数问题</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=\"80254\" type=\"0\">选修2-3</category><category id=\"80255\" type=\"0\">第一章 计数原理</category><category id=\"80260\" type=\"0\">1.2 排列与组合</category><category id=\"80264\" type=\"0\">1.2.2 组合</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=\"80844\" type=\"0\">选修2-3</category><category id=\"80845\" type=\"0\">第一章 计数原理</category><category id=\"80850\" type=\"0\">1.2 排列与组合</category><category id=\"80854\" type=\"0\">1.2.2 组合</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=\"81303\" type=\"0\">选修2-3</category><category id=\"81304\" type=\"0\">第1章 计数原理</category><category id=\"81310\" type=\"0\">1.3 组合</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=\"82019\" type=\"0\">选修2-3</category><category id=\"82020\" type=\"0\">第7章 计数原理</category><category id=\"82025\" type=\"0\">7.3 组合 </category><category id=\"82033\" type=\"0\">7.3.2 组合数的性质和应用</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><item><category id=\"136156\" type=\"0\">人教B版（2019）</category><category id=\"153451\" type=\"0\">必修（第二册）</category><category id=\"153494\" type=\"0\">第五章 统计与概率</category><category id=\"153501\" type=\"0\">5.3 概率</category><category id=\"153504\" type=\"0\">5.3.3 古典概型</category></item>","ChildNum":1,"Time":"2019-12-03T12:09:08","QuesBody":"<div>【题文】五个同学重新随机调换座位，则恰有两人坐在自己原来的位置上的概率为___________.</div>","QuesAnswer":"","QuesParse":"","UseSum":89,"AvgScore":5.0,"ParseAnswerKey":"ec39d1fbbe52bbde25dd1bd0dd0966ea","QuesAttribute":3,"QuesAttributes":{"ID":3,"Name":"跨章节综合题"},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0}]},{"ID":9018920,"Guid":"47a1aa32-996f-4014-b217-bce0e44dc611","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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":4,"DifValue":0.4,"Name":"较难"},"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=\"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><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=\"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":"2019-12-03T12:09:09","QuesBody":"<div>【题文】已知三棱锥<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image146.png\" alt=\"eqId12175c05cfe240a0b8270ee03df1962f\">满足平面<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image147.png\" alt=\"eqId5346c14ae189426eb85ec11c3774037f\">平面<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image148.png\" alt=\"eqId89fbdcb029be4482b52165366491c70f\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image149.png\" alt=\"eqId7a725a8549dd4ab0a962536d32c8c3b4\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image150.png\" alt=\"eqId18e3ae3e255349039d6726b8293c6cab\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image151.png\" alt=\"eqId504c1e8e6b7248f6a9ff6458dde81332\">，则该三棱锥的外接球的表面积为________________.</div>","QuesAnswer":"","QuesParse":"","UseSum":265,"AvgScore":5.0,"ParseAnswerKey":"797df88062d32c5df3600f8c0d85f935","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0},{"Id":605080,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-11-26T14:41:40","SchoolId":0,"MatchingDegree":0}]},{"ID":9018921,"Guid":"3a12b5a2-0c5e-4066-ba1d-79ca2ebd92db","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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=\"29420\" type=\"1\">补全频率分布直方图</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=\"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=\"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=\"79341\" type=\"0\">§5 用样本估计总体</category><category id=\"79350\" type=\"0\">5.1 估计总体的分布</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=\"79893\" type=\"0\">第十八章 基本统计方法</category><category id=\"79900\" type=\"0\">18.3 统计估计</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=\"80007\" type=\"0\">2.2 用样本估计总体</category><category id=\"80013\" type=\"0\">2.2.1 用样本的频率分布估计总体分布</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=\"80600\" type=\"0\">2.2 用样本估计总体</category><category id=\"80607\" type=\"0\">2.2.1 用样本的频率分布估计总体的分布</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=\"81084\" type=\"0\">2.2 总体分布的估计</category><category id=\"81092\" type=\"0\">2.2.2 频率分布直方图与折线图</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=\"81839\" type=\"0\">第12章 统计学初步</category><category id=\"81855\" type=\"0\">12.3 用样本分布估计总体分布</category><category id=\"81865\" type=\"0\">12.3.2 频率分布直方表</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=\"135706\" type=\"0\">第六章 统计</category><category id=\"135793\" type=\"0\">3 用样本估计总体分布</category><category id=\"135807\" type=\"0\">3.2 频率分布直方图</category></item>","ChildNum":1,"Time":"2019-12-03T12:09:10","QuesBody":"<div>【题文】某研究机构为了解某学校学生使用手机的情况，在该校随机抽取了60名学生（其中男、女生人数之比为2：1）进行问卷调查.进行统计后将这60名学生按男、女分为两组，再将每组学生每天使用手机的时间（单位：分钟）分为<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image159.png\" alt=\"eqId02b76491e641413697a4f6db7c23a4b2\">5组，得到如图所示的频率分布直方图（所抽取的学生每天使用手机的时间均不超过50分钟）.<br><img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image160.png\" alt=\"figure\"><br>（1）求出女生组频率分布直方图中<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image101.png\" alt=\"eqId70a27b6ddf6b478285353abb3b1f3741\">的值；<br>（2）求抽取的60名学生中每天使用手机时间不少于30分钟的学生人数.</div>","QuesAnswer":"","QuesParse":"","UseSum":148,"AvgScore":5.0,"ParseAnswerKey":"282bad761b9c81d3fbe1372762fe90b3","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0},{"Id":605080,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-11-26T14:41:40","SchoolId":0,"MatchingDegree":0}]},{"ID":9018922,"Guid":"f956444b-287b-4e81-903c-e894c77db01c","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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=\"27928\" type=\"1\">三角函数与解三角形</category><category id=\"28323\" type=\"1\">解三角形</category><category id=\"28546\" type=\"1\">正弦定理和余弦定理</category><category id=\"28548\" type=\"1\">正弦定理</category><category id=\"28552\" type=\"1\">正弦定理解三角形</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79422\" type=\"0\">必修5</category><category id=\"79424\" type=\"0\">第二章 解三角形</category><category id=\"79438\" type=\"0\">§1 正弦定理与余弦定理</category><category id=\"79442\" type=\"0\">1.1 正弦定理</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80073\" type=\"0\">必修5</category><category id=\"80074\" type=\"0\">第一章 解三角形</category><category id=\"80078\" type=\"0\">1.1 正弦定理和余弦定理</category><category id=\"80081\" type=\"0\">1.1.1 正弦定理</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80669\" type=\"0\">必修5</category><category id=\"80670\" type=\"0\">第一章 解三角形</category><category id=\"80674\" type=\"0\">1.1 正弦定理和余弦定理</category><category id=\"80677\" type=\"0\">1.1.1 正弦定理</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81139\" type=\"0\">必修5</category><category id=\"81140\" type=\"0\">第1章 解三角形</category><category id=\"81144\" type=\"0\">1.1 正弦定理</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=\"81819\" type=\"0\">第8章 解三角形</category><category id=\"81823\" type=\"0\">8.1 正弦定理</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=\"79806\" type=\"0\">第五章 三角比</category><category id=\"156613\" type=\"0\">5.6 正弦定理、余弦定理和解斜三角形</category></item>","ChildNum":1,"Time":"2019-12-03T12:09:11","QuesBody":"<div>【题文】在<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image155.png\" alt=\"eqId992fe44057cf4492895193f3f5398449\">中，角<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image164.png\" alt=\"eqId10bbe48f886a4fa78fdf8c1fd064f9b4\">的对边分别为<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image165.png\" alt=\"eqId0ce93bfa1f6a4a23b3258410dd19847a\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image166.png\" alt=\"eqId8d6798e47fb74b10baaf401cbb3f5408\">.<br>（1）求<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image167.png\" alt=\"eqIdbf1abb3660e84096a1fa45266f027ab0\">的值；<br>（2）求<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image168.png\" alt=\"eqIdad7cefefaba947e1a168bca491c4fca1\">的值.</div>","QuesAnswer":"","QuesParse":"","UseSum":175,"AvgScore":5.0,"ParseAnswerKey":"8393e83c7bacfceab075daffc058fc83","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0},{"Id":605080,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-11-26T14:41:40","SchoolId":0,"MatchingDegree":0}]},{"ID":9018924,"Guid":"54bc12c4-e9be-4de7-be14-fbe4d38b9132","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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=\"27930\" type=\"1\">数列</category><category id=\"28645\" type=\"1\">数列求和</category><category id=\"28729\" type=\"1\">错位相减法求和</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=\"79429\" type=\"0\">§3 等比数列</category><category id=\"79437\" type=\"0\">3.2 等比数列的前n项和</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=\"79822\" type=\"0\">第七章 数列与数学归纳法</category><category id=\"79827\" type=\"0\">7.1 数列</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80073\" type=\"0\">必修5</category><category id=\"80075\" type=\"0\">第二章 数列</category><category id=\"80087\" type=\"0\">2.5 等比数列的前n项和</category><category id=\"80090\" type=\"0\">2.5.2 数列求和</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80669\" type=\"0\">必修5</category><category id=\"80671\" type=\"0\">第二章 数列</category><category id=\"80681\" type=\"0\">2.3 等比数列</category><category id=\"80688\" type=\"0\">2.3.2 等比数列的前n项和</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=\"81150\" type=\"0\">2.3 等比数列</category><category id=\"81157\" type=\"0\">2.3.3 等比数列的前n项和</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=\"81829\" type=\"0\">9.3 等比数列</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=\"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=\"153206\" type=\"1\">利用an与sn关系求通项</category></item>","ChildNum":1,"Time":"2019-12-03T12:09:12","QuesBody":"<div>【题文】已知数列<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/a2d85ebf-948b-4d7d-b459-d8a684108b59/paper.files/image001.png\" alt=\"eqId93e38ecd74a24cb59da79181b95bfd3a\">的前<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/a2d85ebf-948b-4d7d-b459-d8a684108b59/paper.files/image002.png\" alt=\"eqIdf458db68122849abb588feb2e682d9ac\">项和为<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/a2d85ebf-948b-4d7d-b459-d8a684108b59/paper.files/image003.png\" alt=\"eqIddb5481de79c946c0a760143297d5eade\">，且<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/a2d85ebf-948b-4d7d-b459-d8a684108b59/paper.files/image004.png\" alt=\"eqId8a6617d282484ac098cb40dfff16dc45\">.<br>（1）求<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/a2d85ebf-948b-4d7d-b459-d8a684108b59/paper.files/image001.png\" alt=\"eqId93e38ecd74a24cb59da79181b95bfd3a\">的通项公式；<br>（2）若<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/a2d85ebf-948b-4d7d-b459-d8a684108b59/paper.files/image005.png\" alt=\"eqId899e23ccacc147b09a4dc688006dcb8b\">，求数列<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/a2d85ebf-948b-4d7d-b459-d8a684108b59/paper.files/image006.png\" alt=\"eqId180d24e3a5cc44ad938ce5290858e24d\">的前<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/a2d85ebf-948b-4d7d-b459-d8a684108b59/paper.files/image002.png\" alt=\"eqIdf458db68122849abb588feb2e682d9ac\">项和<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/a2d85ebf-948b-4d7d-b459-d8a684108b59/paper.files/image007.png\" alt=\"eqId92ed363a54bd4a8a93df9463bb3af1f5\">.</div>","QuesAnswer":"","QuesParse":"","UseSum":378,"AvgScore":5.0,"ParseAnswerKey":"ab16b37e14037ad323008c31447afc5a","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0},{"Id":605080,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-11-26T14:41:40","SchoolId":0,"MatchingDegree":0}]},{"ID":9064600,"Guid":"cd2564e8-b650-4ff4-a39e-715eb1a5168f","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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=\"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=\"28939\" type=\"1\">证明线面平行</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=\"28806\" type=\"1\">空间向量与立体几何</category><category id=\"28979\" type=\"1\">空间向量的应用</category><category id=\"29027\" type=\"1\">空间角的向量求法</category><category id=\"29037\" type=\"1\">面面角的向量求法</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><category id=\"79310\" type=\"0\">5.1 平行关系的判定</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=\"79542\" type=\"0\">第二章 空间向量与立体几何</category><category id=\"79564\" type=\"0\">§5 夹角的计算</category><category id=\"79571\" type=\"0\">5.2 平面间的夹角</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=\"79869\" type=\"0\">第十四章 空间直线与平面</category><category id=\"79875\" type=\"0\">14.3 空间直线与平面的位置关系</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=\"80171\" type=\"0\">选修2-1</category><category id=\"80174\" type=\"0\">第三章 空间向量与立体几何</category><category id=\"80206\" type=\"0\">3.2 立体几何中的向量方法</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=\"80512\" type=\"0\">人教B版</category><category id=\"80763\" type=\"0\">选修2-1</category><category id=\"80766\" type=\"0\">第三章 空间向量与立体几何</category><category id=\"80793\" type=\"0\">3.2 空间向量在立体几何中的应用</category><category id=\"80802\" type=\"0\">3.2.4 二面角及其度量</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=\"81038\" type=\"0\">1.2 点、线、面之间的位置关系</category><category id=\"81047\" type=\"0\">1.2.3 直线与平面的位置关系</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81228\" type=\"0\">选修2-1</category><category id=\"81231\" type=\"0\">第3章 空间向量与立体几何</category><category id=\"81258\" type=\"0\">3.2 空间向量的应用</category><category id=\"81267\" type=\"0\">3.2.3 空间的角的计算</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=\"81720\" type=\"0\">湘教版</category><category id=\"81945\" type=\"0\">选修2-1</category><category id=\"81948\" type=\"0\">第3章 空间向量与立体几何</category><category id=\"81976\" type=\"0\">3.7 直线与平面、平面与平面所成的角</category></item>","ChildNum":1,"Time":"2019-12-03T12:09:13","QuesBody":"<div>【题文】如图，在三棱锥<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image230.png\" alt=\"eqId97af93bc48424679a970c09ac8f447cd\">中，<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image231.png\" alt=\"eqId7598e78a7d374e9cb036f342c5eaa998\">，二面角<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image232.png\" alt=\"eqIdd6b45960c6954316943730fe84c281a8\">的大小为120°，点<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image100.png\" alt=\"eqId93cbffaa5ae045d6ac45d1e979991c3a\">在棱<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image233.png\" alt=\"eqIdcf2da96900c948a1b3ce7cbfd420c080\">上，且<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image234.png\" alt=\"eqIdd796b268b0c44e4999146a924d36a927\">，点<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image080.png\" alt=\"eqId92869ac114124367b45f631d030ed6bd\">为<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image235.png\" alt=\"eqId5c5102beb2924d8cadbe59fc68134a58\">的重心.<br><img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image236.png\" alt=\"figure\"><br>（1）证明：<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image237.png\" alt=\"eqId59488eb37e2f4801bef9cbc32fed5e17\">平面<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image238.png\" alt=\"eqId05196544fb324d98ac235aa95d6bfb2e\">；<br>（2）求二面角<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image239.png\" alt=\"eqId886f19592d4e4b38b1a6762c35b5f993\">的正弦值.</div>","QuesAnswer":"","QuesParse":"","UseSum":197,"AvgScore":5.0,"ParseAnswerKey":"1dc2e620b28f2d412346685751a1ae1d","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0}]},{"ID":9064601,"Guid":"5d6dbeda-7c4d-4d71-b75a-398f310ef26f","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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":5,"DifValue":0.15,"Name":"困难"},"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=\"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=\"28296\" type=\"1\">利用导数证明不等式</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=\"28297\" type=\"1\">利用导数研究不等式恒成立问题</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=\"79462\" type=\"0\">第四章 导数应用</category><category id=\"79499\" type=\"0\">§2 导数在实际问题中的应用</category><category id=\"79504\" type=\"0\">2.2 最大值、最小值问题</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=\"79614\" type=\"0\">§2 导数在实际问题中的应用</category><category id=\"79619\" type=\"0\">2.2 最大值、最小值问题</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 导数在研究函数中的应用</category><category id=\"80233\" type=\"0\">1.3.3 函数的最大（小）值与导数</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=\"80735\" type=\"0\">3.3.2 利用导数研究函数的极值</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=\"80812\" type=\"0\">1.4 定积分与微积分基本定理</category><category id=\"80824\" type=\"0\">1.4.2 微积分基本定理</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=\"81203\" type=\"0\">3.3.3 最大值与最小值</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=\"81286\" type=\"0\">1.3.3 最大值与最小值</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=\"81914\" type=\"0\">3.3.2 函数的极大值和极小值</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=\"81998\" type=\"0\">4.3.2 函数的极大值和极小值</category></item>","ChildNum":1,"Time":"2019-12-03T12:10:56","QuesBody":"<div>【题文】已知函数<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image280.png\" alt=\"eqId36c377604fe542e3a5d205cd28ff1b60\">.<br>（1）当<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image281.png\" alt=\"eqId192783af2297420ba4f073b0c0418a1b\">时，不等式<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image282.png\" alt=\"eqIda9bdfcc4f50949feafc4f4d175e17190\">恒成立，求实数<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image283.png\" alt=\"eqId4d2187284c5d4de29906363f7d21f60f\">的取值范围；<br>（2）证明：<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image284.png\" alt=\"eqIdcc18cecb77274002bc0e1b106377f055\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-12/03/c4571323-8b6e-4eac-a2de-4197e75e5377/paper.files/image285.png\" alt=\"eqIdcbb50025486d4a1d98f5df92548d947e\">.</div>","QuesAnswer":"","QuesParse":"","UseSum":151,"AvgScore":5.0,"ParseAnswerKey":"cd25931608997d30e67a87dcaaca4804","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·湖北高三月考","PaperSource":[{"Id":609590,"PaperTitle":"湖北省黄冈市2019-2020学年高三上学期11月月考数学试题","LearnGrade":12,"PaperType":3,"Province":420000,"PaperYear":2019,"PaperLevel":60,"AddTimeOn":"2019-12-03T12:09:25","SchoolId":0,"MatchingDegree":0},{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0}]},{"ID":9018926,"Guid":"055d254d-fdba-47f9-9a79-bab6399d732c","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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=\"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=\"29835\" type=\"1\">直线的参数方程</category><category id=\"29871\" type=\"1\">直线的参数方程</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=\"80471\" type=\"0\">三 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=\"80960\" type=\"0\">2.2.1 直线的参数方程</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=\"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=\"29835\" type=\"1\">直线的参数方程</category><category id=\"153271\" type=\"1\">利用韦达定理求其他值</category></item>","ChildNum":1,"Time":"2019-12-03T12:09:16","QuesBody":"<div>【题文】在直角坐标系<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image274.png\" alt=\"eqId2272a344734c4fb088737b84294f7219\">中，直线<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image275.png\" alt=\"eqIdcfc8599bedfb4ab4944abf141f348a9a\">的参数方程为<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image276.png\" alt=\"eqIdbb9542f891da46d5a6c66b2f50da30d0\">（其中<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image277.png\" alt=\"eqId32454977564e4ee18da36bd51156c509\">为参数）.以坐标原点<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image194.png\" alt=\"eqId2efda802d5534f6d92d9f8af7aaec28b\">为极点，<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image278.png\" alt=\"eqId8e15963708e9415da25069fea5906e24\">轴非负半轴为极轴建立极坐标系，曲线<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image279.png\" alt=\"eqId3a63d00111554b9e8b896929779a293d\">的极坐标方程为<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image280.png\" alt=\"eqIdb167048043e44433b623bf8e81a6d6ed\">.<br>（1）求<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image275.png\" alt=\"eqIdcfc8599bedfb4ab4944abf141f348a9a\">和<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image279.png\" alt=\"eqId3a63d00111554b9e8b896929779a293d\">的直角坐标方程；<br>（2）设点<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image281.png\" alt=\"eqIdc30ed2bbd3d5457382598d1e2d67b6a4\">，直线<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image275.png\" alt=\"eqIdcfc8599bedfb4ab4944abf141f348a9a\">交曲线<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image279.png\" alt=\"eqId3a63d00111554b9e8b896929779a293d\">于<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image282.png\" alt=\"eqId71891062a8724584af9a2c4c77cd566e\">两点，求<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image283.png\" alt=\"eqId8fb26a1f42b1451c8b5dbf5e95812d46\">的值.</div>","QuesAnswer":"","QuesParse":"","UseSum":426,"AvgScore":5.0,"ParseAnswerKey":"07b468482ed3667f2dfa61cb966e1a9b","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0},{"Id":605080,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-11-26T14:41:40","SchoolId":0,"MatchingDegree":0}]},{"ID":9018927,"Guid":"2177fe10-c05c-41cd-8b42-771b10fa2d7b","Title":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（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":4,"DifValue":0.4,"Name":"较难"},"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=\"29889\" type=\"1\">求绝对值不等式中参数值或范围</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><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><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><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=\"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>","ChildNum":1,"Time":"2019-12-03T12:09:18","QuesBody":"<div>【题文】已知函数<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image293.png\" alt=\"eqId0d659c4733e94a47aad798c5b38afcd9\">.<br>（1）求不等式<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image294.png\" alt=\"eqIda07df50016fd43ccae7a85c64a20b37f\">的解集；<br>（2）若<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image295.png\" alt=\"eqIde1d2b3e4cd6c4130afc7915ad71e7f78\">的解集包含<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image254.png\" alt=\"eqIdf4447e3caf754a208cf8896384c76edc\">，求实数<img style=\"vertical-align:middle;\" src=\"Upload/2019-11/26/08a10f94-291b-47fd-b2d5-488bf4a6cb5d/paper.files/image101.png\" alt=\"eqId70a27b6ddf6b478285353abb3b1f3741\">的取值范围.</div>","QuesAnswer":"","QuesParse":"","UseSum":121,"AvgScore":5.0,"ParseAnswerKey":"0b9ac7dd51b0664388638a79fecad2af","QuesAttribute":2,"QuesAttributes":{"ID":2,"Name":"章内综合题"},"TitleAbbreviation":"2019·贵州高三月考（理）","PaperSource":[{"Id":609589,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-12-03T12:08:11","SchoolId":0,"MatchingDegree":0},{"Id":605080,"PaperTitle":"贵州省安顺市2019-2020学年高三上学期第一次联考数学（文）试题","LearnGrade":12,"PaperType":3,"Province":520000,"PaperYear":2019,"PaperLevel":61,"AddTimeOn":"2019-11-26T14:41:40","SchoolId":0,"MatchingDegree":0}]}],"bankId":0,"PaperQuesCount":23,"ReadSum":122,"schoolId":0}
