【市级联考】湖南省张家界市2018-2019学年高二第一学期期末联考文科数学试题
适用年级：高二试卷类型：期末试题总数：22浏览次数：49上传日期：2019/2/12
一、单选题
1 . 复数
在复平面内对应的点在（ ）
难度系数：0.94使用：96次题型：单选题更新：2019/2/12
2 . 已知命题
：“如果
，那么
”，命题
：“如果
，那么
”，则命题
是命题
的（ ）
难度系数：0.94使用：349次题型：单选题更新：2017/8/2
3 . 有50件产品，编号从1到50，现在从中抽取5件检验，用系统抽样确定所抽取的第一个样本编号为7，则第三个样本编号是（ ）
难度系数：0.94使用：178次题型：单选题更新：2019/2/12
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/></td><td width=\"70\" style=\"width:52.5pt;border:none;border-bottom:solid black 1.0pt; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\">乙 <br /></td></tr><tr style=\"height:16.5pt\"><td width=\"61\" style=\"width:45.75pt;border:none;border-right:solid black 1.0pt; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\">7<br />9 2 <br /></td><td width=\"26\" style=\"width:19.5pt;border:none;border-right:solid black 1.0pt; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\">2 <br />3 <br /></td><td width=\"70\" style=\"width:52.5pt;border:none;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\">4<i> </i><br />2 4 8 <br /></td></tr></table> <br />A. 32, 32<br />B. 27, 32<br />C. 39, 34<br />D. 32, 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src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image013.png\" style=\"vertical-align:middle;\" />”成立的（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tr><td width=\"50%\">A．充分不必要条件</td><td width=\"50%\">B．必要不充分条件</td></tr><tr><td width=\"50%\">C．充要条件</td><td width=\"50%\">D．既不充分也不必要条件</td></tr></table></div>","QuesAnswer":"","QuesParse":"","UseSum":228,"AvgScore":5.0,"ParseAnswerKey":"a2fea95737061b3043f4294f3aee2561","QuesAttribute":0},{"ID":6204974,"Guid":"a9b99cad-b80b-4b80-bdbc-08012148c2a6","Title":"人教B版高中数学必修三同步测试：3.1.3频率与概率","From":"","Knowledge":"","QuesType":{"ID":2701,"Name":"单选题","IsSelectType":true,"OrderIndex":2,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\">高中数学综合库</category><category id=\"27934\">计数原理与概率统计</category><category id=\"29369\">概率</category><category id=\"29552\">随机事件的概率</category><category 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id=\"81066\">必修3</category><category id=\"81069\">第3章 概率</category><category id=\"81100\">本章复习与测试</category></item><item><category id=\"81004\">苏教版</category><category id=\"81303\">选修2-3</category><category id=\"81305\">第2章 概率</category></item><item><category id=\"81004\">苏教版</category><category id=\"81637\">高中三年级</category><category id=\"81641\">第17章 概率论初步</category><category id=\"81670\">17.2 频率与频率</category></item><item><category id=\"81720\">湘教版</category><category id=\"81837\">必修第五册</category><category id=\"81840\">第13章 概率</category></item><item><category id=\"81720\">湘教版</category><category id=\"81837\">必修第五册</category><category id=\"81840\">第13章 概率</category><category id=\"81872\">13.3 频率与概率</category></item><item><category id=\"81720\">湘教版</category><category id=\"82019\">选修2-3</category><category id=\"82021\">第8章 统计与概率</category><category id=\"82035\">8.2 概率</category></item><item><category id=\"82158\">大纲版</category><category id=\"82319\">高二下册</category><category id=\"82322\">第十一章 概率</category></item>","ChildNum":1,"Time":"2018-03-24T02:19:19","QuesBody":"<div>【题文】某市的天气预报中,有“降水概率预报”,例如预报“明天降水概率为90%”,这是指(<i> </i>)<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tr><td width=\"100%\">A．明天该地区约有90%的地方会降水,其余地方不降水</td></tr><tr><td width=\"100%\">B．明天该地区约90%的时间会降水,其余时间不降水</td></tr><tr><td width=\"100%\">C．气象台的专家中,有90%认为明天会降水,其余的专家认为不降水</td></tr><tr><td width=\"100%\">D．明天该地区降水的可能性为90%</td></tr></table></div>","QuesAnswer":"","QuesParse":"","UseSum":253,"AvgScore":5.0,"ParseAnswerKey":"e946e3e71aa45711ab1c0d47cf4043c4","QuesAttribute":0},{"ID":6534846,"Guid":"120f4efd-2e35-4f8a-a9db-4f03d613181e","Title":"【全国百强校】广东省中山市第一中学2017-2018学年高二下学期第二次段考数学（理）试题","From":"","Knowledge":"","QuesType":{"ID":2701,"Name":"单选题","IsSelectType":true,"OrderIndex":2,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\">高中数学综合库</category><category id=\"27935\">推理与证明</category><category id=\"29671\">直接证明与间接证明</category><category id=\"29694\">反证法</category><category id=\"29699\">反证法的概念辨析</category></item><item><category id=\"27925\">高中数学综合库</category><category id=\"27935\">推理与证明</category><category id=\"29671\">直接证明与间接证明</category><category id=\"29694\">反证法</category><category id=\"29700\">反证法证明</category></item><item><category id=\"79243\">北师大版</category><category id=\"79505\">选修1-2</category><category id=\"79508\">第三章 推理与证明</category><category id=\"79527\">§4 反证法</category></item><item><category id=\"79243\">北师大版</category><category id=\"79587\">选修2-2</category><category id=\"79588\">第一章 推理与证明</category><category id=\"79596\">§3 反证法</category></item><item><category id=\"79903\">人教A版</category><category id=\"80145\">选修1-2</category><category id=\"80147\">第二章 推理与证明</category><category id=\"80155\">2.2 直接证明与间接证明</category><category id=\"80160\">2.2.2 反证法</category></item><item><category id=\"79903\">人教A版</category><category id=\"80213\">选修2-2</category><category id=\"80215\">第二章 推理与证明</category><category id=\"80240\">2.2 直接证明与间接证明</category><category id=\"80246\">2.2.2 反证法</category></item><item><category id=\"80512\">人教B版</category><category id=\"80737\">选修1-2</category><category id=\"80739\">第二章 推理与证明</category><category id=\"80747\">2.2 直接证明与间接证明</category><category id=\"80752\">2.2.2 反证法</category></item><item><category id=\"80512\">人教B版</category><category id=\"80804\">选修2-2</category><category id=\"80806\">第二章 推理与证明</category><category id=\"80826\">2.2 直接证明与间接证明</category><category id=\"80832\">2.2.2 反证法</category></item><item><category id=\"81004\">苏教版</category><category id=\"81204\">选修1-2</category><category id=\"81206\">第2章 推理与证明</category><category id=\"81214\">2.2 直接证明与间接证明</category><category id=\"81220\">2.2.2 间接证明</category></item><item><category id=\"81004\">苏教版</category><category id=\"81268\">选修2-2</category><category id=\"81270\">第2章 推理与证明</category><category id=\"81291\">2.2 直接证明与间接证明</category><category id=\"81298\">2.2.2 间接证明</category></item><item><category id=\"81720\">湘教版</category><category id=\"81916\">选修1-2</category><category id=\"81918\">第5章 推理与证明</category><category id=\"81928\">5.2 直接证明与间接证明</category><category id=\"81935\">5.2.2 间接证明:反证法</category></item><item><category id=\"81720\">湘教版</category><category id=\"81980\">选修2-2</category><category id=\"81983\">第6章 推理与证明</category><category id=\"82010\">6.2 直接证明与间接证明</category><category id=\"82018\">6.2.2 间接证明：反证法</category></item>","ChildNum":1,"Time":"2018-06-19T14:21:24","QuesBody":"<div>【题文】用反证法证明命题“已知<img src=\"Upload/2018-08/31/b5d0142b-3dcc-455d-b941-f60054fa3c14/paper.files/image001.png\" style=\"vertical-align:middle;\" />为非零实数，且<img src=\"Upload/2018-08/31/b5d0142b-3dcc-455d-b941-f60054fa3c14/paper.files/image002.png\" style=\"vertical-align:middle;\" />，<img src=\"Upload/2018-08/31/b5d0142b-3dcc-455d-b941-f60054fa3c14/paper.files/image003.png\" style=\"vertical-align:middle;\" />，求证<img src=\"Upload/2018-08/31/b5d0142b-3dcc-455d-b941-f60054fa3c14/paper.files/image001.png\" style=\"vertical-align:middle;\" />中至少有两个为正数”时，要做的假设是（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tr><td width=\"50%\">A．<img src=\"Upload/2018-08/31/b5d0142b-3dcc-455d-b941-f60054fa3c14/paper.files/image001.png\" style=\"vertical-align:middle;\" />中至少有两个为负数</td><td width=\"50%\">B．<img src=\"Upload/2018-08/31/b5d0142b-3dcc-455d-b941-f60054fa3c14/paper.files/image001.png\" style=\"vertical-align:middle;\" />中至多有一个为负数</td></tr><tr><td width=\"50%\">C．<img src=\"Upload/2018-08/31/b5d0142b-3dcc-455d-b941-f60054fa3c14/paper.files/image001.png\" style=\"vertical-align:middle;\" />中至多有两个为正数</td><td width=\"50%\">D．<img src=\"Upload/2018-08/31/b5d0142b-3dcc-455d-b941-f60054fa3c14/paper.files/image001.png\" style=\"vertical-align:middle;\" />中至多有两个为负数</td></tr></table></div>","QuesAnswer":"","QuesParse":"","UseSum":115,"AvgScore":5.0,"ParseAnswerKey":"e55a6b8c71c52730351c3b6817dbbb5d","QuesAttribute":0},{"ID":7570558,"Guid":"58256ada-67ba-489a-978d-e6335a3a869c","Title":"【市级联考】湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","From":"","Knowledge":"","QuesType":{"ID":2701,"Name":"单选题","IsSelectType":true,"OrderIndex":2,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\">高中数学综合库</category><category id=\"27934\">计数原理与概率统计</category><category id=\"29369\">概率</category><category id=\"29554\">几何概型</category><category id=\"29599\">几何概型计算公式</category><category id=\"29604\">几何概型-面积型</category></item><item><category id=\"79243\">北师大版</category><category id=\"79332\">必修3</category><category id=\"79335\">第三章 概率</category><category id=\"79363\">§3 模拟方法——概率的应用</category></item><item><category id=\"79903\">人教A版</category><category id=\"79992\">必修3</category><category id=\"79995\">第三章 概率</category><category id=\"80019\">3.3 几何概型</category></item><item><category id=\"79903\">人教A版</category><category id=\"79992\">必修3</category><category id=\"79995\">第三章 概率</category><category id=\"80019\">3.3 几何概型</category><category id=\"80026\">3.3.1 几何概型</category></item><item><category id=\"80512\">人教B版</category><category id=\"80584\">必修3</category><category id=\"80587\">第三章 概率</category><category id=\"80614\">3.4 概率的应用</category></item><item><category id=\"80512\">人教B版</category><category id=\"80584\">必修3</category><category id=\"80587\">第三章 概率</category><category id=\"80613\">3.3 随机数的含义与应用</category><category id=\"80622\">3.3.1 几何概型</category></item><item><category id=\"81004\">苏教版</category><category id=\"81066\">必修3</category><category id=\"81069\">第3章 概率</category><category id=\"81098\">3.3 几何概型</category></item><item><category id=\"81720\">湘教版</category><category id=\"81837\">必修第五册</category><category id=\"81840\">第13章 概率</category><category id=\"81871\">13.2 概率及其应用</category></item><item><category id=\"81720\">湘教版</category><category id=\"81837\">必修第五册</category><category id=\"81840\">第13章 概率</category><category id=\"81871\">13.2 概率及其应用</category><category id=\"81877\">13.2.2 几何概率</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:43","QuesBody":"<div>【题文】如图是一个中心对称的几何图形，已知大圆半径为2，以半径为直径画出两个半圆，在大圆内随机取一点，则此点取自阴影部分的概率为（ ）<br /><img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image018.png\" style=\"vertical-align:middle;\" /><table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tr><td width=\"25%\">A．<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image019.png\" style=\"vertical-align:middle;\" /></td><td width=\"25%\">B．<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image020.png\" style=\"vertical-align:middle;\" /></td><td width=\"25%\">C．<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image021.png\" style=\"vertical-align:middle;\" /></td><td width=\"25%\">D．<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image010.png\" style=\"vertical-align:middle;\" /></td></tr></table></div>","QuesAnswer":"","QuesParse":"","UseSum":196,"AvgScore":5.0,"ParseAnswerKey":"0a9494f758c5a20c15c5ca9bdaca86fe","QuesAttribute":0},{"ID":7341072,"Guid":"5f0a6581-32cd-42bc-a21c-408d8bdc00f3","Title":"【全国百强校】湖南师范大学附属中学2019届高三上学期月考（四）数学（理）试题","From":"","Knowledge":"","QuesType":{"ID":2701,"Name":"单选题","IsSelectType":true,"OrderIndex":2,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\">高中数学综合库</category><category id=\"27936\">算法与框图</category><category id=\"29709\">算法初步</category><category id=\"29711\">算法与程序框图</category><category id=\"29719\">循环结构框图</category><category id=\"29742\">根据循环结构框图计算输出结果</category></item><item><category id=\"79243\">北师大版</category><category id=\"79332\">必修3</category><category id=\"79334\">第二章 算法初步</category><category id=\"79353\">§2 算法框图的基本结构及设计</category><category id=\"79358\">2.3 循环结构</category></item><item><category id=\"79243\">北师大版</category><category id=\"79505\">选修1-2</category><category id=\"79507\">第二章 框图</category></item><item><category id=\"79775\">沪教版（上海）</category><category id=\"79821\">高二第一学期</category><category id=\"79825\">第十章 算法初步</category><category id=\"79840\">10.2 程序框图</category></item><item><category id=\"79903\">人教A版</category><category id=\"79992\">必修3</category><category id=\"79993\">第一章 算法初步</category><category id=\"79997\">1.1 算法与程序框图</category><category id=\"80002\">1.1.2 程序框图与算法的基本逻辑结构</category></item><item><category id=\"79903\">人教A版</category><category id=\"80145\">选修1-2</category><category id=\"80149\">第四章 框图</category></item><item><category id=\"80512\">人教B版</category><category id=\"80584\">必修3</category><category id=\"80585\">第一章 算法初步</category><category id=\"80589\">1.1 算法与程序框图</category><category id=\"80594\">1.1.2 程序框图</category></item><item><category id=\"80512\">人教B版</category><category id=\"80584\">必修3</category><category id=\"80585\">第一章 算法初步</category><category id=\"80589\">1.1 算法与程序框图</category><category id=\"80595\">1.1.3 算法的三种基本逻辑结构和框图表示</category></item><item><category id=\"80512\">人教B版</category><category id=\"80737\">选修1-2</category><category id=\"80741\">第四章 框图</category></item><item><category id=\"81004\">苏教版</category><category id=\"81066\">必修3</category><category id=\"81067\">第1章 算法初步</category><category id=\"81072\">1.2 流程图</category><category id=\"81078\">1.2.3 循环结构</category></item><item><category id=\"81004\">苏教版</category><category id=\"81204\">选修1-2</category><category id=\"81208\">第4章 框图</category></item><item><category id=\"81004\">苏教版</category><category id=\"81565\">高中二年级第一学期</category><category id=\"81568\">第9章 矩阵和行列式初步</category><category id=\"81593\">二 行列式</category><category id=\"81602\">10.2 程序框图</category></item><item><category id=\"81682\">苏教版（2004）</category><category id=\"81698\">选修1-2</category><category id=\"81702\">第4章 框图</category></item><item><category id=\"81720\">湘教版</category><category id=\"81837\">必修第五册</category><category id=\"81838\">第11章 算法初步</category><category id=\"81843\">11.2 算法结构与程序框图</category></item><item><category id=\"81720\">湘教版</category><category id=\"81837\">必修第五册</category><category id=\"81838\">第11章 算法初步</category><category id=\"81843\">11.2 算法结构与程序框图</category><category id=\"81849\">11.2.3 循环结构</category></item><item><category id=\"81720\">湘教版</category><category id=\"81916\">选修1-2</category><category id=\"81919\">第6章 框图</category></item><item><category id=\"81720\">湘教版</category><category id=\"81916\">选修1-2</category><category id=\"81919\">第6章 框图</category><category id=\"81938\">6.3 程序框图</category></item>","ChildNum":1,"Time":"2018-12-21T10:51:32","QuesBody":"<div>【题文】五进制是以5为底的进位制，主因乃人类的一只手有五只手指. 中国古代的五行学说也是采用的五进制，0代表土，1代表水，2代表火，3代表木，4代表金，依此类推，5又属土，6属水，……，减去5即得.如图，这是一个把<img src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image001.png\" style=\"vertical-align:middle;\" />进制数<img src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image002.png\" style=\"vertical-align:middle;\" />（共有<img src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image003.png\" style=\"vertical-align:middle;\" />位）化为十进制数<img src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image004.png\" style=\"vertical-align:middle;\" />的程序框图，执行该程序框图，若输入的<img src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image001.png\" style=\"vertical-align:middle;\" />，<img src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image002.png\" style=\"vertical-align:middle;\" />，<img src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image005.png\" style=\"vertical-align:middle;\" />分别为5，1203，4，则输出的<img src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image006.png\" style=\"vertical-align:middle;\" />（ ）<br /><img src=\"Upload/2018-12/28/59964cb7-4005-49cb-82e3-74b4bffa7ed3/paper.files/image007.png\" style=\"vertical-align:middle;\" /><table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tr><td width=\"25%\">A．178</td><td width=\"25%\">B．386</td><td width=\"25%\">C．890</td><td width=\"25%\">D．14303</td></tr></table></div>","QuesAnswer":"","QuesParse":"","UseSum":132,"AvgScore":5.0,"ParseAnswerKey":"05987197cbee6f8cf7fb08a83e9adc5a","QuesAttribute":0},{"ID":7570559,"Guid":"ed7596c8-b07f-45a4-b519-05fbb778a32b","Title":"【市级联考】湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","From":"","Knowledge":"","QuesType":{"ID":2701,"Name":"单选题","IsSelectType":true,"OrderIndex":2,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":3,"DifValue":0.65,"Name":"一般"},"Categories":"<item><category id=\"27925\">高中数学综合库</category><category id=\"27932\">空间向量与立体几何</category><category id=\"28806\">空间向量与立体几何</category><category id=\"28978\">空间向量及其运算</category><category id=\"28997\">空间向量的数量积运算</category><category id=\"29012\">空间向量数量积的应用</category></item><item><category id=\"27925\">高中数学综合库</category><category id=\"27935\">推理与证明</category><category id=\"29670\">合情推理与演绎推理</category><category id=\"29674\">类比推理</category><category id=\"29683\">平面与空间中的类比</category></item><item><category id=\"79243\">北师大版</category><category id=\"79505\">选修1-2</category><category id=\"79508\">第三章 推理与证明</category><category id=\"79524\">§1 归纳与类比</category><category id=\"79530\">1.2 类比推理</category></item><item><category id=\"79243\">北师大版</category><category id=\"79587\">选修2-2</category><category id=\"79588\">第一章 推理与证明</category><category id=\"79594\">§1 归纳与类比</category><category id=\"79600\">1.2 类比推理</category></item><item><category id=\"79903\">人教A版</category><category id=\"80145\">选修1-2</category><category id=\"80147\">第二章 推理与证明</category><category id=\"80154\">2.1 合情推理与演绎推理</category></item><item><category id=\"79903\">人教A版</category><category id=\"80145\">选修1-2</category><category id=\"80147\">第二章 推理与证明</category><category id=\"80154\">2.1 合情推理与演绎推理</category><category id=\"80157\">2.1.1 合情推理</category></item><item><category id=\"79903\">人教A版</category><category id=\"80213\">选修2-2</category><category id=\"80215\">第二章 推理与证明</category><category id=\"80239\">2.1 合情推理与演绎推理</category><category id=\"80243\">2.1.1 合情推理</category></item><item><category id=\"80512\">人教B版</category><category id=\"80737\">选修1-2</category><category id=\"80739\">第二章 推理与证明</category><category id=\"80746\">2.1 合情推理与演绎推理</category></item><item><category id=\"80512\">人教B版</category><category id=\"80737\">选修1-2</category><category id=\"80739\">第二章 推理与证明</category><category id=\"80746\">2.1 合情推理与演绎推理</category><category id=\"80749\">2.1.1 合情推理</category></item><item><category id=\"80512\">人教B版</category><category id=\"80804\">选修2-2</category><category id=\"80806\">第二章 推理与证明</category><category id=\"80825\">2.1 合情推理与演绎推理</category><category id=\"80829\">2.1.1 合情推理</category></item><item><category id=\"81004\">苏教版</category><category id=\"81204\">选修1-2</category><category id=\"81206\">第2章 推理与证明</category><category id=\"81213\">2.1 合情推理与演绎推理</category></item><item><category id=\"81004\">苏教版</category><category id=\"81204\">选修1-2</category><category id=\"81206\">第2章 推理与证明</category><category id=\"81213\">2.1 合情推理与演绎推理</category><category id=\"81216\">2.1.1 合情推理</category></item><item><category id=\"81004\">苏教版</category><category id=\"81268\">选修2-2</category><category id=\"81270\">第2章 推理与证明</category><category id=\"81290\">2.1 合情推理与演绎推理</category><category id=\"81294\">2.1.1 合情推理</category></item><item><category id=\"81682\">苏教版（2004）</category><category id=\"81698\">选修1-2</category><category id=\"81700\">第2章 推理与证明</category><category id=\"81709\">2.1合情推理与演绎推理</category></item><item><category id=\"81720\">湘教版</category><category id=\"81916\">选修1-2</category><category id=\"81918\">第5章 推理与证明</category><category id=\"81927\">5.1 合情推理和演绎推理</category><category id=\"81931\">5.1.2 类比</category></item><item><category id=\"81720\">湘教版</category><category id=\"81980\">选修2-2</category><category id=\"81983\">第6章 推理与证明</category><category id=\"82009\">6.1 合情推理和演绎推理</category><category id=\"82014\">6.1.2 类比</category></item><item><category id=\"81720\">湘教版</category><category id=\"81916\">选修1-2</category><category id=\"81918\">第5章 推理与证明</category><category id=\"81927\">5.1 合情推理和演绎推理</category></item><item><category id=\"81720\">湘教版</category><category id=\"81916\">选修1-2</category><category id=\"81918\">第5章 推理与证明</category><category id=\"81927\">5.1 合情推理和演绎推理</category><category id=\"81933\">5.1.4 合情推理与演绎推理的关系</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:44","QuesBody":"<div>【题文】我们把平面内与直线垂直的非零向量称为直线的法向量，在平面直角坐标系中，利用求动点轨迹方程的方法，可以求出过点<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image032.png\" style=\"vertical-align:middle;\" />，且法向量为<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image033.png\" style=\"vertical-align:middle;\" />的直线（点法式）方程为：<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image034.png\" style=\"vertical-align:middle;\" />，化简得<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image035.png\" style=\"vertical-align:middle;\" />.类比以上方法，在空间直角坐标系中，经过点<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image036.png\" style=\"vertical-align:middle;\" />，且法向量为<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image037.png\" style=\"vertical-align:middle;\" />的平面的方程为（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tr><td width=\"50%\">A．<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image038.png\" style=\"vertical-align:middle;\" /></td><td width=\"50%\">B．<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image039.png\" style=\"vertical-align:middle;\" /></td></tr><tr><td width=\"50%\">C．<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image040.png\" style=\"vertical-align:middle;\" /></td><td width=\"50%\">D．<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image041.png\" style=\"vertical-align:middle;\" /></td></tr></table></div>","QuesAnswer":"","QuesParse":"","UseSum":398,"AvgScore":5.0,"ParseAnswerKey":"8331548a56fd7c0f7394e4504f7a82c2","QuesAttribute":0},{"ID":7570560,"Guid":"0528db77-c590-43da-b4ed-0c9544a7f352","Title":"【市级联考】湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","From":"","Knowledge":"","QuesType":{"ID":2701,"Name":"单选题","IsSelectType":true,"OrderIndex":2,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":3,"DifValue":0.65,"Name":"一般"},"Categories":"<item><category id=\"27925\">高中数学综合库</category><category id=\"27933\">平面解析几何</category><category id=\"29045\">圆锥曲线</category><category id=\"29172\">双曲线</category><category id=\"29227\">双曲线的定义</category><category id=\"29240\">利用双曲线定义求点到焦点的距离及最值</category></item><item><category id=\"27925\">高中数学综合库</category><category id=\"27933\">平面解析几何</category><category id=\"29045\">圆锥曲线</category><category id=\"29172\">双曲线</category><category id=\"29235\">双曲线的渐近线</category><category id=\"29260\">已知方程求双曲线的渐近线</category></item><item><category id=\"79243\">北师大版</category><category id=\"79458\">选修1-1</category><category id=\"79460\">第二章 圆锥曲线与方程</category><category id=\"79481\">§3 双曲线</category><category id=\"79487\">3.1 双曲线及其标准方程</category></item><item><category id=\"79243\">北师大版</category><category id=\"79458\">选修1-1</category><category id=\"79460\">第二章 圆锥曲线与方程</category><category id=\"79481\">§3 双曲线</category><category id=\"79488\">3.2 双曲线的简单性质</category></item><item><category id=\"79243\">北师大版</category><category id=\"79540\">选修2-1</category><category id=\"79543\">第三章 圆锥曲线与方程</category><category id=\"79575\">§3 双曲线</category></item><item><category id=\"79243\">北师大版</category><category id=\"79540\">选修2-1</category><category id=\"79543\">第三章 圆锥曲线与方程</category><category id=\"79575\">§3 双曲线</category><category id=\"79582\">3.1 双曲线及其标准方程</category></item><item><category id=\"79243\">北师大版</category><category id=\"79540\">选修2-1</category><category id=\"79543\">第三章 圆锥曲线与方程</category><category id=\"79575\">§3 双曲线</category><category id=\"79583\">3.2 双曲线的简单性质</category></item><item><category id=\"79775\">沪教版（上海）</category><category id=\"79842\">高二第二学期</category><category id=\"79844\">第十二章 圆锥曲线</category><category id=\"79856\">12.5双曲线的标准方程</category></item><item><category id=\"79775\">沪教版（上海）</category><category id=\"79842\">高二第二学期</category><category id=\"79844\">第十二章 圆锥曲线</category><category id=\"79857\">12.6双曲线的性质</category></item><item><category id=\"79903\">人教A版</category><category id=\"80101\">选修1-1</category><category id=\"80103\">第二章 圆锥曲线与方程</category><category id=\"80123\">2.2 双曲线</category><category id=\"80128\">2.2.1 双曲线及其标准方程</category></item><item><category id=\"79903\">人教A版</category><category id=\"80101\">选修1-1</category><category id=\"80103\">第二章 圆锥曲线与方程</category><category id=\"80123\">2.2 双曲线</category><category id=\"80129\">2.2.2 双曲线的简单几何性质</category></item><item><category id=\"79903\">人教A版</category><category id=\"80171\">选修2-1</category><category id=\"80173\">第二章 圆锥曲线与方程</category><category id=\"80194\">2.3 双曲线</category><category id=\"80201\">2.3.1 双曲线及其标准方程</category></item><item><category id=\"79903\">人教A版</category><category id=\"80171\">选修2-1</category><category id=\"80173\">第二章 圆锥曲线与方程</category><category id=\"80194\">2.3 双曲线</category><category id=\"80202\">2.3.2 双曲线的简单几何性质</category></item><item><category id=\"80512\">人教B版</category><category id=\"80699\">选修1-1</category><category id=\"80701\">第二章 圆锥曲线与方程</category><category id=\"80715\">2.2 双曲线</category><category id=\"80720\">2.2.1 双曲线及其标准方程</category></item><item><category id=\"80512\">人教B版</category><category id=\"80699\">选修1-1</category><category id=\"80701\">第二章 圆锥曲线与方程</category><category id=\"80715\">2.2 双曲线</category><category id=\"80721\">2.2.2 双曲线的几何性质</category></item><item><category id=\"80512\">人教B版</category><category id=\"80763\">选修2-1</category><category id=\"80765\">第二章 圆锥曲线与方程</category><category id=\"80780\">2.3 双曲线</category><category id=\"80788\">2.3.1 双曲线的标准方程</category></item><item><category id=\"81004\">苏教版</category><category id=\"81167\">选修1-1</category><category id=\"81169\">第2章 圆锥曲线与方程</category><category id=\"81182\">2.3 双曲线</category><category id=\"81189\">2.3.2 双曲线的几何性质</category></item><item><category id=\"81004\">苏教版</category><category id=\"81228\">选修2-1</category><category id=\"81230\">第2章 圆锥曲线与方程</category><category id=\"81243\">2.3 双曲线</category><category id=\"81251\">2.3.2 双曲线的几何性质</category></item><item><category id=\"81720\">湘教版</category><category id=\"81878\">选修1-1</category><category id=\"81880\">第2章 圆锥曲线与方程</category><category id=\"81892\">2.2 双曲线</category><category id=\"81899\">2.2.2 双曲线的简单几何性质</category></item><item><category id=\"81720\">湘教版</category><category id=\"81945\">选修2-1</category><category id=\"81947\">第2章 圆锥曲线与方程</category><category id=\"81959\">2.2 双曲线</category><category id=\"81967\">2.2.2 双曲线的简单几何性质</category></item><item><category id=\"80512\">人教B版</category><category id=\"80763\">选修2-1</category><category id=\"80765\">第二章 圆锥曲线与方程</category><category id=\"80780\">2.3 双曲线</category><category id=\"80789\">2.3.2 双曲线的几何性质</category></item><item><category id=\"81004\">苏教版</category><category id=\"81167\">选修1-1</category><category id=\"81169\">第2章 圆锥曲线与方程</category><category id=\"81182\">2.3 双曲线</category><category id=\"81188\">2.3.1 双曲线的标准方程</category></item><item><category id=\"81004\">苏教版</category><category id=\"81228\">选修2-1</category><category id=\"81230\">第2章 圆锥曲线与方程</category><category id=\"81243\">2.3 双曲线</category><category id=\"81250\">2.3.1 双曲线的标准方程</category></item><item><category id=\"81004\">苏教版</category><category id=\"81605\">高中二年级第二学期</category><category id=\"81607\">第12章 圆锥曲线</category><category id=\"81620\">12.5 双曲线的标准方程</category></item><item><category id=\"81004\">苏教版</category><category id=\"81605\">高中二年级第二学期</category><category id=\"81607\">第12章 圆锥曲线</category><category id=\"81621\">12.6 双曲线的性质</category></item><item><category id=\"81720\">湘教版</category><category id=\"81878\">选修1-1</category><category id=\"81880\">第2章 圆锥曲线与方程</category><category id=\"81892\">2.2 双曲线</category><category id=\"81898\">2.2.1 双曲线的定义与标准方程</category></item><item><category id=\"81720\">湘教版</category><category id=\"81945\">选修2-1</category><category id=\"81947\">第2章 圆锥曲线与方程</category><category id=\"81959\">2.2 双曲线</category><category id=\"81966\">2.2.1 双曲线的定义与标准方程</category></item><item><category id=\"82158\">大纲版</category><category id=\"82287\">高二上册</category><category id=\"82290\">第八章 圆锥曲线方程</category><category id=\"82312\">8.3 双曲线及其标准方程</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:45","QuesBody":"<div>【题文】已知<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image044.png\" style=\"vertical-align:middle;\" />是双曲线<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image045.png\" style=\"vertical-align:middle;\" />的左，右焦点，点<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image046.png\" style=\"vertical-align:middle;\" />在<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image047.png\" style=\"vertical-align:middle;\" />上，<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image048.png\" style=\"vertical-align:middle;\" />与<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image049.png\" style=\"vertical-align:middle;\" />轴垂直，<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image050.png\" style=\"vertical-align:middle;\" />,则双曲线<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image047.png\" style=\"vertical-align:middle;\" />的渐近线方程为（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tr><td width=\"25%\">A．<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image051.png\" style=\"vertical-align:middle;\" /></td><td width=\"25%\">B．<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image052.png\" style=\"vertical-align:middle;\" /></td><td width=\"25%\">C．<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image053.png\" style=\"vertical-align:middle;\" /></td><td width=\"25%\">D．<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image054.png\" style=\"vertical-align:middle;\" /></td></tr></table></div>","QuesAnswer":"","QuesParse":"","UseSum":128,"AvgScore":5.0,"ParseAnswerKey":"38d6fddfc31a0133b2fa8c41a2bbe26e","QuesAttribute":0},{"ID":5889391,"Guid":"3741acde-a724-4730-bec5-8afdfb87b7d4","Title":"【全国百强校】湖南师大附中2018届高三上学期月考（三） 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\">高中数学综合库</category><category id=\"27927\">函数与导数</category><category id=\"28044\">导数及其应用</category><category id=\"28260\">导数的综合应用</category><category id=\"28294\">导数在函数中的其他应用</category><category id=\"28298\">利用导数研究能成立问题</category></item><item><category id=\"79243\">北师大版</category><category id=\"79458\">选修1-1</category><category id=\"79462\">第四章 导数应用</category><category id=\"79500\">本章复习与测试</category></item><item><category id=\"79243\">北师大版</category><category id=\"79587\">选修2-2</category><category id=\"79590\">第三章 导数应用</category><category id=\"79615\">本章复习与测试</category></item><item><category id=\"79903\">人教A版</category><category id=\"80101\">选修1-1</category><category id=\"80104\">第三章 导数及其应用</category><category id=\"80136\">本章复习与测试</category></item><item><category id=\"80512\">人教B版</category><category id=\"80699\">选修1-1</category><category id=\"80702\">第三章 导数及其应用</category><category id=\"80727\">本章复习与测试</category></item><item><category id=\"80512\">人教B版</category><category id=\"80804\">选修2-2</category><category id=\"80805\">第一章 导数及其应用</category><category id=\"80813\">本章复习与测试</category></item><item><category id=\"81004\">苏教版</category><category id=\"81167\">选修1-1</category><category id=\"81170\">第3章 导数及其应用</category><category id=\"81196\">本章复习与测试</category></item><item><category id=\"81004\">苏教版</category><category id=\"81268\">选修2-2</category><category id=\"81269\">第1章 导数及其应用</category><category id=\"81278\">本章复习与测试</category></item>","ChildNum":1,"Time":"2018-01-10T11:02:26","QuesBody":"<div>【题文】已知函数f(x)(x∈R)满足<img src=\"Upload/2018-01/10/74fa98d4-4613-4063-bd40-1c2b5aabbfd1/paper.files/image074.png\" style=\"vertical-align:middle;\" />，且<img src=\"Upload/2018-01/10/74fa98d4-4613-4063-bd40-1c2b5aabbfd1/paper.files/image075.png\" style=\"vertical-align:middle;\" />的导数<i>f</i>′(<i>x</i>)><img src=\"Upload/2018-01/10/74fa98d4-4613-4063-bd40-1c2b5aabbfd1/paper.files/image055.png\" style=\"vertical-align:middle;\" />，则不等式<img src=\"Upload/2018-01/10/74fa98d4-4613-4063-bd40-1c2b5aabbfd1/paper.files/image076.png\" style=\"vertical-align:middle;\" />的解集为( )<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tr><td width=\"50%\">A．(－∞，－1)</td><td width=\"50%\">B．(1，＋∞)</td></tr><tr><td width=\"50%\">C．(－∞，－1]∪[1，＋∞)</td><td width=\"50%\">D．(－1，1)</td></tr></table></div>","QuesAnswer":"","QuesParse":"","UseSum":236,"AvgScore":5.0,"ParseAnswerKey":"b4ea9d49fc29e605abbdf9f92a3a7366","QuesAttribute":0},{"ID":7570561,"Guid":"73154f24-d6d0-4192-9bf2-d36d28e0b6cb","Title":"【市级联考】湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","From":"","Knowledge":"","QuesType":{"ID":2702,"Name":"填空题","IsSelectType":false,"OrderIndex":3,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":1,"DifValue":0.94,"Name":"容易"},"Categories":"<item><category id=\"27925\">高中数学综合库</category><category id=\"27937\">复数</category><category id=\"29797\">数系的扩充与复数的概念</category><category id=\"29803\">复数的模</category><category id=\"29812\">求复数的模</category></item><item><category id=\"79243\">北师大版</category><category id=\"79505\">选修1-2</category><category id=\"79509\">第四章 数系的扩充与复数的引入</category><category id=\"79533\">§1 数系的扩充与复数的引入</category><category id=\"79537\">1.2 复数的有关概念</category></item><item><category 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id=\"80804\">选修2-2</category><category id=\"80807\">第三章 数系的扩充与复数</category><category id=\"80835\">3.1 数系的扩充与复数的概念</category><category id=\"80840\">3.1.3 复数的几何意义</category></item><item><category id=\"81004\">苏教版</category><category id=\"81204\">选修1-2</category><category id=\"81207\">第3章 数系的扩充与复数的引入</category><category id=\"81223\">3.3 复数的几何意义</category></item><item><category id=\"81004\">苏教版</category><category id=\"81268\">选修2-2</category><category id=\"81271\">第3章 数系的扩充与复数的引入</category><category id=\"81299\">3.1 数系的扩充</category></item><item><category id=\"81004\">苏教版</category><category id=\"81268\">选修2-2</category><category id=\"81271\">第3章 数系的扩充与复数的引入</category><category id=\"81301\">3.3 复数的几何意义</category></item><item><category id=\"81682\">苏教版（2004）</category><category id=\"81698\">选修1-2</category><category id=\"81701\">第3章 数系的扩充与复数的引入</category><category id=\"81715\">3.3复数的几何意义</category></item><item><category id=\"81720\">湘教版</category><category id=\"81916\">选修1-2</category><category id=\"81920\">第7章 数系的扩充与复数</category><category id=\"81943\">7.4 复数的几何表示</category></item><item><category id=\"81720\">湘教版</category><category id=\"81980\">选修2-2</category><category id=\"81982\">第5章 数系的扩充与复数</category><category id=\"82007\">5.4 复数的几何表示</category></item><item><category id=\"82158\">大纲版</category><category id=\"82242\">高三全册</category><category id=\"82246\">第四章 数系的扩充──复数</category><category id=\"82283\">4.3 数系的扩充</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:47","QuesBody":"<div>【题文】复数<img src=\"Upload/2019-03/22/c2af8847-11b5-409a-9e84-727c254a2fcc/paper.files/image001.png\" style=\"vertical-align:middle;\" /> ，则<img src=\"Upload/2019-03/22/c2af8847-11b5-409a-9e84-727c254a2fcc/paper.files/image002.png\" style=\"vertical-align:middle;\" />_______．</div>","QuesAnswer":"","QuesParse":"","UseSum":189,"AvgScore":5.0,"ParseAnswerKey":"4e3802547034673e34b2fc7e8ed92e6d","QuesAttribute":0},{"ID":7570562,"Guid":"6bdb6cc1-93e1-4c4b-a953-d9bbb9b47320","Title":"【市级联考】湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","From":"","Knowledge":"","QuesType":{"ID":2702,"Name":"填空题","IsSelectType":false,"OrderIndex":3,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\">高中数学综合库</category><category id=\"27927\">函数与导数</category><category id=\"28044\">导数及其应用</category><category id=\"28259\">导数在研究函数中的作用</category><category id=\"28278\">利用导数研究函数的单调性</category><category id=\"28282\">利用导数求函数的单调区间</category></item><item><category id=\"79243\">北师大版</category><category id=\"79244\">必修1</category><category id=\"79246\">第二章 函数</category><category id=\"79258\">§3 函数的单调性</category></item><item><category id=\"79243\">北师大版</category><category 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id=\"81004\">苏教版</category><category id=\"81167\">选修1-1</category><category id=\"81170\">第3章 导数及其应用</category><category id=\"81194\">3.3 导数在研究函数中的应用</category><category id=\"81201\">3.3.1 单调性</category></item><item><category id=\"81004\">苏教版</category><category id=\"81268\">选修2-2</category><category id=\"81269\">第1章 导数及其应用</category><category id=\"81275\">1.3 导数在研究函数中的应用</category><category id=\"81284\">1.3.1 单调性</category></item><item><category id=\"81720\">湘教版</category><category id=\"81878\">选修1-1</category><category id=\"81881\">第3章 导数及其应用</category><category id=\"81904\">3.3 导数在研究函数中的应用</category><category id=\"81913\">3.3.1 利用导数研究函数的单调性</category></item><item><category id=\"81720\">湘教版</category><category id=\"81980\">选修2-2</category><category id=\"81981\">第4章 导数及其应用</category><category id=\"81987\">4.3 导数在研究函数中的应用</category><category id=\"81997\">4.3.1 利用导数研究函数的单调性</category></item><item><category id=\"82158\">大纲版</category><category id=\"82159\">高一上册</category><category id=\"82161\">第二章 函数</category><category id=\"82176\">一 函数</category><category id=\"82181\">2.3 函数的单调性</category></item><item><category id=\"82158\">大纲版</category><category id=\"82242\">高三全册</category><category id=\"82245\">第三章 导数</category><category id=\"82275\">3.6 函数的单调性</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:48","QuesBody":"<div>【题文】函数<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image078.png\" style=\"vertical-align:middle;\" />的单调递增区间为______________．</div>","QuesAnswer":"","QuesParse":"","UseSum":224,"AvgScore":5.0,"ParseAnswerKey":"f3855c01a58b685c42884fc5d2653228","QuesAttribute":0},{"ID":7570563,"Guid":"92312d75-1fd5-4df9-b7dd-2e645f325c79","Title":"【市级联考】湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","From":"","Knowledge":"","QuesType":{"ID":2702,"Name":"填空题","IsSelectType":false,"OrderIndex":3,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\">高中数学综合库</category><category id=\"27935\">推理与证明</category><category id=\"29670\">合情推理与演绎推理</category><category id=\"29673\">归纳推理</category><category id=\"29678\">数与式中的归纳推理</category></item><item><category id=\"79243\">北师大版</category><category id=\"79505\">选修1-2</category><category id=\"79508\">第三章 推理与证明</category><category id=\"79524\">§1 归纳与类比</category></item><item><category id=\"79243\">北师大版</category><category id=\"79505\">选修1-2</category><category id=\"79508\">第三章 推理与证明</category><category id=\"79524\">§1 归纳与类比</category><category id=\"79529\">1.1 归纳推理</category></item><item><category id=\"79243\">北师大版</category><category id=\"79587\">选修2-2</category><category id=\"79588\">第一章 推理与证明</category><category id=\"79594\">§1 归纳与类比</category></item><item><category id=\"79243\">北师大版</category><category id=\"79587\">选修2-2</category><category id=\"79588\">第一章 推理与证明</category><category id=\"79594\">§1 归纳与类比</category><category id=\"79599\">1.1 归纳推理</category></item><item><category 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推理与证明</category><category id=\"81927\">5.1 合情推理和演绎推理</category><category id=\"81930\">5.1.1 归纳</category></item><item><category id=\"81720\">湘教版</category><category id=\"81980\">选修2-2</category><category id=\"81983\">第6章 推理与证明</category><category id=\"82009\">6.1 合情推理和演绎推理</category><category id=\"82013\">6.1.1 归纳</category></item><item><category id=\"81004\">苏教版</category><category id=\"81565\">高中二年级第一学期</category><category id=\"81566\">第7章 数列与数学归纳法</category><category id=\"81572\">二 数学归纳法 </category><category id=\"81580\">7.6 归纳-猜想-论证</category></item><item><category id=\"81682\">苏教版（2004）</category><category id=\"81698\">选修1-2</category><category id=\"81700\">第2章 推理与证明</category><category id=\"81709\">2.1合情推理与演绎推理</category></item><item><category id=\"81720\">湘教版</category><category id=\"81916\">选修1-2</category><category id=\"81918\">第5章 推理与证明</category><category id=\"81927\">5.1 合情推理和演绎推理</category></item><item><category id=\"81720\">湘教版</category><category id=\"81916\">选修1-2</category><category id=\"81918\">第5章 推理与证明</category><category id=\"81927\">5.1 合情推理和演绎推理</category><category id=\"81933\">5.1.4 合情推理与演绎推理的关系</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:49","QuesBody":"<div>【题文】观察下列各式：<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image082.png\" style=\"vertical-align:middle;\" /> <img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image083.png\" style=\"vertical-align:middle;\" /> <img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image084.png\" style=\"vertical-align:middle;\" />，则<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image085.png\" style=\"vertical-align:middle;\" />____________．</div>","QuesAnswer":"","QuesParse":"","UseSum":513,"AvgScore":5.0,"ParseAnswerKey":"7775437481c75562a623b404d7b3d6de","QuesAttribute":0},{"ID":7570564,"Guid":"5e1de4a1-4dbc-4912-ba98-706cda9dff22","Title":"【市级联考】湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","From":"","Knowledge":"","QuesType":{"ID":2702,"Name":"填空题","IsSelectType":false,"OrderIndex":3,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":3,"DifValue":0.65,"Name":"一般"},"Categories":"<item><category id=\"27925\">高中数学综合库</category><category id=\"27931\">不等式</category><category id=\"28744\">基本不等式</category><category id=\"28793\">基本（均值）不等式求最值</category><category id=\"28798\">基本不等式求和的最小值</category></item><item><category id=\"27925\">高中数学综合库</category><category id=\"27933\">平面解析几何</category><category id=\"29045\">圆锥曲线</category><category id=\"29174\">直线与圆锥曲线的位置关系</category><category id=\"29309\">抛物线焦点弦的性质</category><category id=\"29347\">与抛物线焦点弦有关的几何性质</category></item><item><category id=\"79243\">北师大版</category><category id=\"79458\">选修1-1</category><category id=\"79460\">第二章 圆锥曲线与方程</category><category id=\"79482\">本章复习与测试</category></item><item><category id=\"79243\">北师大版</category><category id=\"79540\">选修2-1</category><category id=\"79543\">第三章 圆锥曲线与方程</category><category id=\"79576\">§4 曲线与方程</category><category id=\"79586\">4.3 直线与圆锥曲线的交点</category></item><item><category id=\"79903\">人教A版</category><category id=\"80101\">选修1-1</category><category id=\"80103\">第二章 圆锥曲线与方程</category><category id=\"80125\">本章复习与测试</category></item><item><category id=\"79903\">人教A版</category><category id=\"80171\">选修2-1</category><category id=\"80173\">第二章 圆锥曲线与方程</category><category id=\"80196\">本章复习与测试</category></item><item><category id=\"80512\">人教B版</category><category id=\"80699\">选修1-1</category><category id=\"80701\">第二章 圆锥曲线与方程</category><category id=\"80717\">本章复习与测试</category></item><item><category id=\"80512\">人教B版</category><category id=\"80763\">选修2-1</category><category id=\"80765\">第二章 圆锥曲线与方程</category><category id=\"80782\">2.5 直线与圆锥曲线</category></item><item><category id=\"81004\">苏教版</category><category id=\"81228\">选修2-1</category><category id=\"81230\">第2章 圆锥曲线与方程</category><category id=\"81247\">本章复习与测试</category></item><item><category id=\"81720\">湘教版</category><category id=\"81878\">选修1-1</category><category id=\"81880\">第2章 圆锥曲线与方程</category><category id=\"81894\">2.4 圆锥曲线的应用</category></item><item><category id=\"81720\">湘教版</category><category id=\"81945\">选修2-1</category><category id=\"81947\">第2章 圆锥曲线与方程</category><category id=\"81961\">2.4 圆锥曲线的应用</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:50","QuesBody":"<div>【题文】如图，已知抛物线<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image087.png\" style=\"vertical-align:middle;\" />的顶点在坐标原点，焦点在<i>x</i>轴上，且过点(2，4)，圆<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image088.png\" style=\"vertical-align:middle;\" />，过圆心<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image089.png\" style=\"vertical-align:middle;\" />的直线<i>l</i>与抛物线和圆分别交于P，Q，M，N，则<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image090.png\" style=\"vertical-align:middle;\" />的最小值为________．<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image091.png\" style=\"vertical-align:middle;\" /></div>","QuesAnswer":"","QuesParse":"","UseSum":99,"AvgScore":5.0,"ParseAnswerKey":"7bacb5bc5b4e8908862e29b4c51cf7f7","QuesAttribute":0},{"ID":7570565,"Guid":"a876fdc8-d1cc-43de-85ab-e4e2aa04a123","Title":"【市级联考】湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\">高中数学综合库</category><category id=\"27934\">计数原理与概率统计</category><category id=\"29366\">统计</category><category id=\"29372\">用样本估计总体</category><category id=\"29404\">茎叶图</category><category id=\"29431\">观察茎叶图比较数据的特征</category></item><item><category id=\"27925\">高中数学综合库</category><category id=\"27934\">计数原理与概率统计</category><category id=\"29367\">统计案例</category><category id=\"29469\">独立性检验</category><category id=\"29478\">列联表</category><category id=\"29481\">完善列联表</category></item><item><category id=\"27925\">高中数学综合库</category><category id=\"27934\">计数原理与概率统计</category><category id=\"29367\">统计案例</category><category id=\"29469\">独立性检验</category><category id=\"29480\">独立性检验</category><category id=\"29484\">卡方的计算</category></item><item><category id=\"79243\">北师大版</category><category id=\"79505\">选修1-2</category><category id=\"79506\">第一章 统计案例</category><category id=\"79512\">§2 独立性检验</category></item><item><category id=\"79243\">北师大版</category><category id=\"79505\">选修1-2</category><category id=\"79506\">第一章 统计案例</category><category id=\"79512\">§2 独立性检验</category><category id=\"79518\">2.2 独立性检验</category></item><item><category id=\"79243\">北师大版</category><category id=\"79505\">选修1-2</category><category id=\"79506\">第一章 统计案例</category><category id=\"79512\">§2 独立性检验</category><category id=\"79520\">2.4 独立性检验的应用</category></item><item><category id=\"79243\">北师大版</category><category id=\"79635\">选修2-3</category><category id=\"79638\">第三章 统计案例</category><category id=\"79660\">§2 独立性检验</category><category id=\"79665\">2.1 独立性检验</category></item><item><category id=\"79243\">北师大版</category><category id=\"79635\">选修2-3</category><category id=\"79638\">第三章 统计案例</category><category id=\"79660\">§2 独立性检验</category><category id=\"79666\">2.2 独立性检验的基本思想</category></item><item><category id=\"79903\">人教A版</category><category id=\"80145\">选修1-2</category><category id=\"80146\">第一章 统计案例</category><category id=\"80152\">1.2 独立性检验的基本思想及其初步应用</category></item><item><category id=\"79903\">人教A版</category><category id=\"80254\">选修2-3</category><category id=\"80257\">第三章 统计案例</category><category id=\"80280\">3.2 独立性检验的基本思想及其初步应用</category></item><item><category id=\"80512\">人教B版</category><category id=\"80737\">选修1-2</category><category id=\"80738\">第一章 统计案例</category><category id=\"80743\">1.1 独立性检验</category></item><item><category id=\"80512\">人教B版</category><category id=\"80844\">选修2-3</category><category id=\"80847\">第三章 统计案例</category><category id=\"80870\">3.1 独立性检验</category></item><item><category id=\"81004\">苏教版</category><category id=\"81204\">选修1-2</category><category id=\"81205\">第1章 统计案例</category><category id=\"81210\">1.1 独立性检验</category></item><item><category id=\"81004\">苏教版</category><category id=\"81303\">选修2-3</category><category id=\"81305\">第2章 概率</category><category id=\"81318\">2.3 独立性</category></item><item><category id=\"81004\">苏教版</category><category id=\"81303\">选修2-3</category><category id=\"81306\">第3章 统计案例</category><category id=\"81327\">3.1 独立性检验</category></item><item><category id=\"81720\">湘教版</category><category id=\"81916\">选修1-2</category><category id=\"81917\">第4章 典型统计案例</category><category id=\"81924\">4.3 列联表独立性分析案例</category></item><item><category id=\"81720\">湘教版</category><category id=\"82019\">选修2-3</category><category id=\"82021\">第8章 统计与概率</category><category id=\"82037\">8.4 列联表独立性分析案例</category></item><item><category id=\"81682\">苏教版（2004）</category><category id=\"81698\">选修1-2</category><category id=\"81699\">第1章 统计案例</category><category id=\"81705\">1.2独立性检验</category></item><item><category id=\"81720\">湘教版</category><category id=\"81916\">选修1-2</category><category id=\"81917\">第4章 典型统计案例</category><category id=\"81923\">4.2 事件的独立性</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:51","QuesBody":"<div>【题文】某学生对某小区30位居民的饮食习惯进行了一次调查，并用如图所示的茎叶图表示他们的饮食指数(说明：图中饮食指数低于70的人，饮食以蔬菜为主；饮食指数高于70的，饮食以肉类为主).<br /><img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image097.png\" style=\"vertical-align:middle;\" /><br />（1）根据茎叶图，说明这30位居民中50岁以上的人的饮食习惯；<br />（2）根据以上数据完成如下2×2列联表；<br /><table border=\"1\" cellpadding=\"0\" cellspacing=\"0\"><tr style=\"height:19.5pt\"><td width=\"77\" style=\"width:57.75pt;border:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:19.5pt\"> <br /></td><td width=\"73\" style=\"width:54.75pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:19.5pt\">主食蔬菜<br /></td><td width=\"78\" style=\"width:58.5pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:19.5pt\">主食肉类<br /></td><td width=\"54\" style=\"width:40.5pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:19.5pt\">总计<br /></td></tr><tr style=\"height:19.5pt\"><td width=\"77\" style=\"width:57.75pt;border:solid black 1.0pt;border-top:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:19.5pt\">50岁以下<br /></td><td width=\"73\" style=\"width:54.75pt;border-top:none;border-left:none; border-bottom:solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:19.5pt\"> <br /></td><td width=\"78\" style=\"width:58.5pt;border-top:none;border-left:none;border-bottom: solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:19.5pt\"> <br /></td><td width=\"54\" style=\"width:40.5pt;border-top:none;border-left:none;border-bottom: solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:19.5pt\"> <br /></td></tr><tr style=\"height:19.5pt\"><td width=\"77\" style=\"width:57.75pt;border:solid black 1.0pt;border-top:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:19.5pt\">50岁以上<br /></td><td width=\"73\" style=\"width:54.75pt;border-top:none;border-left:none; border-bottom:solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:19.5pt\"> <br /></td><td width=\"78\" style=\"width:58.5pt;border-top:none;border-left:none;border-bottom: solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:19.5pt\"> <br /></td><td width=\"54\" style=\"width:40.5pt;border-top:none;border-left:none;border-bottom: solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:19.5pt\"> <br /></td></tr><tr style=\"height:21.75pt\"><td width=\"77\" style=\"width:57.75pt;border:solid black 1.0pt;border-top:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:21.75pt\">总计<br /></td><td width=\"73\" style=\"width:54.75pt;border-top:none;border-left:none; border-bottom:solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:21.75pt\"> <br /></td><td width=\"78\" style=\"width:58.5pt;border-top:none;border-left:none;border-bottom: solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:21.75pt\"> <br /></td><td width=\"54\" style=\"width:40.5pt;border-top:none;border-left:none;border-bottom: solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:21.75pt\"> <br /></td></tr></table> <br />（3）能否有99％的把握认为居民的饮食习惯与年龄有关?<br />独立性检验的临界值表<br /><table border=\"1\" cellpadding=\"0\" cellspacing=\"0\"><tr style=\"height:16.5pt\"><td width=\"140\" style=\"width:105.0pt;border:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\"><img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image098.png\" style=\"vertical-align:middle;\" /><br /></td><td width=\"58\" style=\"width:43.5pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\">0.15<br /></td><td width=\"58\" style=\"width:43.5pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\">0.10<br /></td><td width=\"56\" style=\"width:42.0pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\">0.05<br /></td><td width=\"58\" style=\"width:43.5pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\">0.025<br /></td><td width=\"46\" style=\"width:34.5pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\">0.010<br /></td><td width=\"53\" style=\"width:39.75pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\">0.005<br /></td><td width=\"85\" style=\"width:63.75pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\">0.001<br /></td></tr><tr style=\"height:16.5pt\"><td width=\"140\" style=\"width:105.0pt;border:solid black 1.0pt;border-top:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:16.5pt\"><img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image099.png\" style=\"vertical-align:middle;\" /><br /></td><td width=\"58\" style=\"width:43.5pt;border-top:none;border-left:none;border-bottom: solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\">2.072<br /></td><td width=\"58\" style=\"width:43.5pt;border-top:none;border-left:none;border-bottom: solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\">2.706<br /></td><td width=\"56\" style=\"width:42.0pt;border-top:none;border-left:none;border-bottom: solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\">3.841<br /></td><td width=\"58\" style=\"width:43.5pt;border-top:none;border-left:none;border-bottom: solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\">5.024<br /></td><td width=\"46\" style=\"width:34.5pt;border-top:none;border-left:none;border-bottom: solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\">6.635<br /></td><td width=\"53\" style=\"width:39.75pt;border-top:none;border-left:none; border-bottom:solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\">7.879<br /></td><td width=\"85\" style=\"width:63.75pt;border-top:none;border-left:none; border-bottom:solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:16.5pt\">10.828<br /></td></tr></table> <br />参考公式：<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image100.png\" style=\"vertical-align:middle;\" />，其中<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image101.png\" style=\"vertical-align:middle;\" />．</div>","QuesAnswer":"","QuesParse":"","UseSum":262,"AvgScore":5.0,"ParseAnswerKey":"05722e97f36389f5536d9800e4ba9df6","QuesAttribute":0},{"ID":7570566,"Guid":"ad6fe75b-ebad-4154-a23f-185b81b2ca24","Title":"【市级联考】湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\">高中数学综合库</category><category id=\"27926\">集合与常用逻辑用语</category><category id=\"27943\">常用逻辑用语</category><category id=\"27987\">简单的逻辑联结词</category><category id=\"28016\">或且非的综合应用</category><category id=\"28025\">根据或且非的真假求参数</category></item><item><category id=\"27925\">高中数学综合库</category><category id=\"27933\">平面解析几何</category><category id=\"29045\">圆锥曲线</category><category id=\"29171\">椭圆</category><category id=\"29189\">椭圆的标准方程</category><category id=\"29205\">椭圆的方程与椭圆（焦点）位置的特征</category></item><item><category id=\"79243\">北师大版</category><category id=\"79458\">选修1-1</category><category id=\"79460\">第二章 圆锥曲线与方程</category><category id=\"79479\">§1 椭圆</category><category id=\"79483\">1.1 椭圆及其标准方程</category></item><item><category id=\"79243\">北师大版</category><category id=\"79540\">选修2-1</category><category id=\"79543\">第三章 圆锥曲线与方程</category><category id=\"79573\">§1 椭圆</category><category id=\"79578\">1.1 椭圆及其标准方程</category></item><item><category id=\"79775\">沪教版（上海）</category><category id=\"79842\">高二第二学期</category><category id=\"79844\">第十二章 圆锥曲线</category><category id=\"79854\">12.3椭圆的标准方程</category></item><item><category id=\"79903\">人教A版</category><category id=\"80101\">选修1-1</category><category id=\"80103\">第二章 圆锥曲线与方程</category><category id=\"80122\">2.1 椭圆</category><category id=\"80126\">2.1.1 椭圆及其标准方程</category></item><item><category id=\"79903\">人教A版</category><category id=\"80171\">选修2-1</category><category id=\"80173\">第二章 圆锥曲线与方程</category><category id=\"80193\">2.2 椭圆</category><category id=\"80199\">2.2.1 椭圆及其标准方程</category></item><item><category id=\"80512\">人教B版</category><category id=\"80699\">选修1-1</category><category id=\"80701\">第二章 圆锥曲线与方程</category><category id=\"80714\">2.1 椭圆</category><category id=\"80718\">2.1.1 椭圆及其标准方程</category></item><item><category id=\"80512\">人教B版</category><category id=\"80763\">选修2-1</category><category id=\"80765\">第二章 圆锥曲线与方程</category><category id=\"80779\">2.2 椭圆</category><category id=\"80786\">2.2.1 椭圆的标准方程</category></item><item><category id=\"81004\">苏教版</category><category id=\"81167\">选修1-1</category><category id=\"81169\">第2章 圆锥曲线与方程</category><category id=\"81181\">2.2 椭圆</category><category id=\"81186\">2.2.1 椭圆的标准方程</category></item><item><category id=\"81004\">苏教版</category><category id=\"81228\">选修2-1</category><category id=\"81230\">第2章 圆锥曲线与方程</category><category id=\"81242\">2.2 椭圆</category><category id=\"81248\">2.2.1 椭圆的标准方程</category></item><item><category id=\"81004\">苏教版</category><category id=\"81605\">高中二年级第二学期</category><category id=\"81607\">第12章 圆锥曲线</category><category id=\"81618\">12.3 椭圆的标准方程</category></item><item><category id=\"81720\">湘教版</category><category id=\"81878\">选修1-1</category><category id=\"81880\">第2章 圆锥曲线与方程</category><category id=\"81891\">2.1 椭圆</category><category id=\"81896\">2.1.1 椭圆的定义与标准方程</category></item><item><category id=\"81720\">湘教版</category><category id=\"81945\">选修2-1</category><category id=\"81947\">第2章 圆锥曲线与方程</category><category id=\"81958\">2.1 椭圆</category><category id=\"81964\">2.1.1 椭圆的定义与标准方程</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:52","QuesBody":"<div>【题文】已知命题<i>p</i>：对<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image104.png\" style=\"vertical-align:middle;\" />，不等式<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image105.png\" style=\"vertical-align:middle;\" />恒成立；命题<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image005.png\" style=\"vertical-align:middle;\" />：方程<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image106.png\" style=\"vertical-align:middle;\" />表示焦点在<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image107.png\" style=\"vertical-align:middle;\" />轴上的椭圆.若<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image108.png\" style=\"vertical-align:middle;\" />为真，且<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image109.png\" style=\"vertical-align:middle;\" />为真，求实数<i>m</i>的取值范围．</div>","QuesAnswer":"","QuesParse":"","UseSum":102,"AvgScore":5.0,"ParseAnswerKey":"06b8e70d04ea6e248c50085ac63c40dc","QuesAttribute":0},{"ID":7570567,"Guid":"274e9a4c-dfc3-487c-81e8-b9870dfb98e5","Title":"【市级联考】湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":2,"DifValue":0.85,"Name":"较易"},"Categories":"<item><category id=\"27925\">高中数学综合库</category><category id=\"27934\">计数原理与概率统计</category><category id=\"29366\">统计</category><category id=\"29373\">变量间的相关关系</category><category id=\"29455\">回归直线方程</category><category id=\"29464\">用回归直线方程对总体进行估计</category></item><item><category id=\"27925\">高中数学综合库</category><category id=\"27934\">计数原理与概率统计</category><category id=\"29366\">统计</category><category id=\"29373\">变量间的相关关系</category><category id=\"29456\">最小二乘法</category><category id=\"29466\">求回归直线方程</category></item><item><category id=\"79243\">北师大版</category><category id=\"79332\">必修3</category><category id=\"79333\">第一章 统计</category><category id=\"79344\">§8 最小二乘估计</category></item><item><category id=\"79903\">人教A版</category><category id=\"79992\">必修3</category><category id=\"79994\">第二章 统计</category><category id=\"80008\">2.3 变量间的相关关系</category><category id=\"80016\">2.3.2 两个变量的线性相关</category></item><item><category id=\"80512\">人教B版</category><category id=\"80584\">必修3</category><category id=\"80586\">第二章 统计</category><category id=\"80601\">2.3 变量的相关性</category><category id=\"80610\">2.3.2 两个变量的线性相关</category></item><item><category id=\"81004\">苏教版</category><category id=\"81066\">必修3</category><category id=\"81068\">第2章 统计</category><category id=\"81086\">2.4 线性回归方程</category></item><item><category id=\"81720\">湘教版</category><category id=\"81837\">必修第五册</category><category id=\"81839\">第12章 统计学初步</category><category id=\"81856\">12.4 数据的相关性</category><category id=\"81869\">12.4.2 回归直线</category></item><item><category id=\"82158\">大纲版</category><category id=\"82242\">高三全册</category><category id=\"82243\">第一章 概率与统计</category><category id=\"82253\">1.6 线性回归</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:53","QuesBody":"<div>【题文】为了解某地区某种农产品的年产量<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image049.png\" style=\"vertical-align:middle;\" />（单位：吨）对价格<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image107.png\" style=\"vertical-align:middle;\" />（单位：千元/吨）的影响，对近五年该农产品的年产量和价格统计如下表：<br /><table border=\"1\" cellpadding=\"0\" cellspacing=\"0\"><tr style=\"height:17.25pt\"><td width=\"68\" style=\"width:51.0pt;border:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:17.25pt\"><img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image049.png\" style=\"vertical-align:middle;\" /><br /></td><td width=\"68\" style=\"width:51.0pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:17.25pt\">1<br /></td><td width=\"68\" style=\"width:51.0pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:17.25pt\">2<br /></td><td width=\"68\" style=\"width:51.0pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:17.25pt\">3<br /></td><td width=\"68\" style=\"width:51.0pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:17.25pt\">4<br /></td><td width=\"68\" style=\"width:51.0pt;border:solid black 1.0pt;border-left:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:17.25pt\">5<br /></td></tr><tr style=\"height:18.0pt\"><td width=\"68\" style=\"width:51.0pt;border:solid black 1.0pt;border-top:none; padding:3.75pt 5.4pt 3.75pt 5.4pt;height:18.0pt\"><img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image107.png\" style=\"vertical-align:middle;\" /><br /></td><td width=\"68\" style=\"width:51.0pt;border-top:none;border-left:none;border-bottom: solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:18.0pt\">8<br /></td><td width=\"68\" style=\"width:51.0pt;border-top:none;border-left:none;border-bottom: solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:18.0pt\">6<br /></td><td width=\"68\" style=\"width:51.0pt;border-top:none;border-left:none;border-bottom: solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:18.0pt\">5<br /></td><td width=\"68\" style=\"width:51.0pt;border-top:none;border-left:none;border-bottom: solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:18.0pt\">4<br /></td><td width=\"68\" style=\"width:51.0pt;border-top:none;border-left:none;border-bottom: solid black 1.0pt;border-right:solid black 1.0pt;padding:3.75pt 5.4pt 3.75pt 5.4pt; height:18.0pt\">2<br /></td></tr></table> <br />已知<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image049.png\" style=\"vertical-align:middle;\" />和<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image107.png\" style=\"vertical-align:middle;\" />具有线性相关关系.<br />（1）求<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image117.png\" style=\"vertical-align:middle;\" />，<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image118.png\" style=\"vertical-align:middle;\" />；<br />（2）求<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image107.png\" style=\"vertical-align:middle;\" />关于<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image049.png\" style=\"vertical-align:middle;\" />的线性回归方程<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image119.png\" style=\"vertical-align:middle;\" />；<br />（3）若年产量为4.5吨，试预测该农产品的价格．<br />附：本题参考公式与参考数据：，<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image120.png\" style=\"vertical-align:middle;\" />，<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image121.png\" style=\"vertical-align:middle;\" />.<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image122.png\" style=\"vertical-align:middle;\" /></div>","QuesAnswer":"","QuesParse":"","UseSum":156,"AvgScore":5.0,"ParseAnswerKey":"d85248a132b3c3654c1146693fc27d3c","QuesAttribute":0},{"ID":7570568,"Guid":"85b49794-a437-4043-a71b-c8c79762dfa2","Title":"【市级联考】湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":3,"DifValue":0.65,"Name":"一般"},"Categories":"<item><category id=\"27925\">高中数学综合库</category><category id=\"27934\">计数原理与概率统计</category><category id=\"29366\">统计</category><category id=\"29372\">用样本估计总体</category><category id=\"29402\">频率分布直方图</category><category id=\"29421\">由频率分布直方图计算频率、频数、样本容量、总体容量</category></item><item><category id=\"27925\">高中数学综合库</category><category id=\"27934\">计数原理与概率统计</category><category id=\"29369\">概率</category><category id=\"29553\">古典概型</category><category id=\"29585\">古典概型的概率计算公式</category><category id=\"29589\">计算古典概型问题的概率</category></item><item><category id=\"79243\">北师大版</category><category id=\"79332\">必修3</category><category id=\"79335\">第三章 概率</category><category id=\"79362\">§2 古典概型</category></item><item><category id=\"79243\">北师大版</category><category id=\"79332\">必修3</category><category id=\"79335\">第三章 概率</category><category id=\"79362\">§2 古典概型</category><category id=\"79367\">2.1 古典概型的特征和概率计算公式</category></item><item><category id=\"79243\">北师大版</category><category id=\"79332\">必修3</category><category id=\"79335\">第三章 概率</category><category id=\"79362\">§2 古典概型</category><category id=\"79368\">2.2 建立概率模型</category></item><item><category id=\"79775\">沪教版（上海）</category><category id=\"79891\">高三第二学期</category><category id=\"79892\">第十七章 概率论初步</category><category id=\"79895\">17.1 古典概念</category></item><item><category id=\"79903\">人教A版</category><category id=\"79992\">必修3</category><category id=\"79995\">第三章 概率</category><category id=\"80018\">3.2 古典概型</category></item><item><category id=\"79903\">人教A版</category><category id=\"79992\">必修3</category><category id=\"79995\">第三章 概率</category><category id=\"80018\">3.2 古典概型</category><category id=\"80024\">3.2.1 古典概型</category></item><item><category id=\"80512\">人教B版</category><category id=\"80584\">必修3</category><category id=\"80587\">第三章 概率</category><category id=\"80612\">3.2 古典概型</category></item><item><category id=\"80512\">人教B版</category><category id=\"80584\">必修3</category><category id=\"80587\">第三章 概率</category><category id=\"80612\">3.2 古典概型</category><category id=\"80620\">3.2.1 古典概型</category></item><item><category id=\"80512\">人教B版</category><category id=\"80584\">必修3</category><category id=\"80587\">第三章 概率</category><category id=\"80612\">3.2 古典概型</category><category id=\"80621\">3.2.2 概率的一般加法公式（选学）</category></item><item><category id=\"81004\">苏教版</category><category id=\"81066\">必修3</category><category id=\"81069\">第3章 概率</category><category id=\"81097\">3.2 古典概型</category></item><item><category id=\"81004\">苏教版</category><category id=\"81637\">高中三年级</category><category id=\"81641\">第17章 概率论初步</category><category id=\"81669\">17.1 古典概念</category></item><item><category id=\"81720\">湘教版</category><category id=\"81837\">必修第五册</category><category id=\"81840\">第13章 概率</category><category id=\"81871\">13.2 概率及其应用</category><category id=\"81876\">13.2.1 古典概率模型</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:54","QuesBody":"<div>【题文】某校高二期中考试后，教务处计划对全年级数学成绩进行统计分析，从男、女生中各随机抽取100名学生，分别制成了男生和女生数学成绩的频率分布直方图，如图所示.<br /><img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image131.png\" style=\"vertical-align:middle;\" /><br />（1）若所得分数大于等于80分认定为优秀，求男、女生优秀人数各有多少人？<br />（2）在（1）中的优秀学生中用分层抽样的方法抽取5人，从这5人中任意任取2人，求至少有1名男生的概率．</div>","QuesAnswer":"","QuesParse":"","UseSum":46,"AvgScore":5.0,"ParseAnswerKey":"12a17ca43b8736d7420b575be1e022f0","QuesAttribute":0},{"ID":7570569,"Guid":"141d996e-2e3b-4381-95ba-feb808a36ed5","Title":"【市级联考】湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":4,"DifValue":0.4,"Name":"较难"},"Categories":"<item><category id=\"27925\">高中数学综合库</category><category id=\"27933\">平面解析几何</category><category id=\"29045\">圆锥曲线</category><category id=\"29171\">椭圆</category><category id=\"29189\">椭圆的标准方程</category><category id=\"29208\">根据椭圆过的点求标准方程</category></item><item><category id=\"27925\">高中数学综合库</category><category id=\"27933\">平面解析几何</category><category id=\"29045\">圆锥曲线</category><category id=\"29171\">椭圆</category><category id=\"29194\">椭圆的离心率</category><category id=\"29219\">根据离心率求椭圆的标准方程</category></item><item><category id=\"27925\">高中数学综合库</category><category id=\"27933\">平面解析几何</category><category id=\"29045\">圆锥曲线</category><category id=\"29174\">直线与圆锥曲线的位置关系</category><category id=\"29299\">椭圆中的定点、定值</category><category id=\"29326\">椭圆中的定值问题</category></item><item><category id=\"79243\">北师大版</category><category id=\"79458\">选修1-1</category><category id=\"79460\">第二章 圆锥曲线与方程</category><category id=\"79482\">本章复习与测试</category></item><item><category id=\"79243\">北师大版</category><category id=\"79458\">选修1-1</category><category id=\"79460\">第二章 圆锥曲线与方程</category><category id=\"79479\">§1 椭圆</category><category id=\"79484\">1.2 椭圆的简单性质</category></item><item><category id=\"79243\">北师大版</category><category id=\"79540\">选修2-1</category><category id=\"79543\">第三章 圆锥曲线与方程</category><category id=\"79573\">§1 椭圆</category><category id=\"79579\">1.2 椭圆的简单性质</category></item><item><category id=\"79243\">北师大版</category><category id=\"79540\">选修2-1</category><category id=\"79543\">第三章 圆锥曲线与方程</category><category id=\"79576\">§4 曲线与方程</category><category id=\"79586\">4.3 直线与圆锥曲线的交点</category></item><item><category id=\"79775\">沪教版（上海）</category><category id=\"79842\">高二第二学期</category><category id=\"79844\">第十二章 圆锥曲线</category><category id=\"79855\">12.4椭圆的性质</category></item><item><category id=\"79903\">人教A版</category><category id=\"80101\">选修1-1</category><category id=\"80103\">第二章 圆锥曲线与方程</category><category id=\"80125\">本章复习与测试</category></item><item><category id=\"79903\">人教A版</category><category id=\"80101\">选修1-1</category><category id=\"80103\">第二章 圆锥曲线与方程</category><category id=\"80122\">2.1 椭圆</category><category id=\"80127\">2.1.2 椭圆的简单几何性质</category></item><item><category id=\"79903\">人教A版</category><category id=\"80171\">选修2-1</category><category id=\"80173\">第二章 圆锥曲线与方程</category><category id=\"80196\">本章复习与测试</category></item><item><category id=\"79903\">人教A版</category><category id=\"80171\">选修2-1</category><category id=\"80173\">第二章 圆锥曲线与方程</category><category id=\"80193\">2.2 椭圆</category><category id=\"80200\">2.2.2 椭圆的简单几何性质</category></item><item><category id=\"80512\">人教B版</category><category id=\"80699\">选修1-1</category><category id=\"80701\">第二章 圆锥曲线与方程</category><category id=\"80717\">本章复习与测试</category></item><item><category id=\"80512\">人教B版</category><category id=\"80699\">选修1-1</category><category id=\"80701\">第二章 圆锥曲线与方程</category><category id=\"80714\">2.1 椭圆</category><category id=\"80719\">2.1.2 椭圆的几何性质</category></item><item><category id=\"80512\">人教B版</category><category id=\"80763\">选修2-1</category><category id=\"80765\">第二章 圆锥曲线与方程</category><category id=\"80782\">2.5 直线与圆锥曲线</category></item><item><category id=\"81004\">苏教版</category><category id=\"81167\">选修1-1</category><category id=\"81169\">第2章 圆锥曲线与方程</category><category id=\"81181\">2.2 椭圆</category><category id=\"81187\">2.2.2 椭圆的几何性质</category></item><item><category id=\"81004\">苏教版</category><category id=\"81228\">选修2-1</category><category id=\"81230\">第2章 圆锥曲线与方程</category><category id=\"81242\">2.2 椭圆</category><category id=\"81249\">2.2.2 椭圆的几何性质</category></item><item><category id=\"81720\">湘教版</category><category id=\"81878\">选修1-1</category><category id=\"81880\">第2章 圆锥曲线与方程</category><category id=\"81894\">2.4 圆锥曲线的应用</category></item><item><category id=\"81720\">湘教版</category><category id=\"81945\">选修2-1</category><category id=\"81947\">第2章 圆锥曲线与方程</category><category id=\"81961\">2.4 圆锥曲线的应用</category></item><item><category id=\"81004\">苏教版</category><category id=\"81228\">选修2-1</category><category id=\"81230\">第2章 圆锥曲线与方程</category><category id=\"81247\">本章复习与测试</category></item><item><category id=\"80512\">人教B版</category><category id=\"80763\">选修2-1</category><category id=\"80765\">第二章 圆锥曲线与方程</category><category id=\"80779\">2.2 椭圆</category><category id=\"80787\">2.2.2 椭圆的几何性质</category></item><item><category id=\"81004\">苏教版</category><category id=\"81605\">高中二年级第二学期</category><category id=\"81607\">第12章 圆锥曲线</category><category id=\"81619\">12.4 椭圆的性质</category></item><item><category id=\"81720\">湘教版</category><category id=\"81878\">选修1-1</category><category id=\"81880\">第2章 圆锥曲线与方程</category><category id=\"81891\">2.1 椭圆</category><category id=\"81897\">2.1.2 椭圆的简单几何性质</category></item><item><category id=\"81720\">湘教版</category><category id=\"81945\">选修2-1</category><category id=\"81947\">第2章 圆锥曲线与方程</category><category id=\"81958\">2.1 椭圆</category><category id=\"81965\">2.1.2 椭圆的简单几何性质</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:55","QuesBody":"<div>【题文】在直角坐标系<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image155.png\" style=\"vertical-align:middle;\" />中，椭圆<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image156.png\" style=\"vertical-align:middle;\" /> <img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image157.png\" style=\"vertical-align:middle;\" />的离心率为<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image021.png\" style=\"vertical-align:middle;\" />，椭圆短轴上的一个顶点为<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image158.png\" style=\"vertical-align:middle;\" />．<br />（1）求椭圆<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image153.png\" style=\"vertical-align:middle;\" />的方程；<br />（2）已知点<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image159.png\" style=\"vertical-align:middle;\" />，动直线<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image160.png\" style=\"vertical-align:middle;\" />与椭圆<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image153.png\" style=\"vertical-align:middle;\" />相交于<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image161.png\" style=\"vertical-align:middle;\" />两点，若直线<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image162.png\" style=\"vertical-align:middle;\" />的斜率均存在，求证：直线<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image163.png\" style=\"vertical-align:middle;\" />的斜率依次成等差数列．</div>","QuesAnswer":"","QuesParse":"","UseSum":127,"AvgScore":5.0,"ParseAnswerKey":"33e347b18c8707282704f6adba3d1efc","QuesAttribute":0},{"ID":7570570,"Guid":"36cc5d57-3fb8-4826-81dc-f3432848e679","Title":"【市级联考】湖南省张家界市2018-2019学年普通高中二年级第一学期期末联考文科数学试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":3,"DifValue":0.65,"Name":"一般"},"Categories":"<item><category id=\"27925\">高中数学综合库</category><category id=\"27927\">函数与导数</category><category id=\"28044\">导数及其应用</category><category id=\"28257\">导数的概念和几何意义</category><category id=\"28263\">导数的几何意义</category><category id=\"28269\">求在曲线上一点处的切线方程</category></item><item><category id=\"27925\">高中数学综合库</category><category id=\"27927\">函数与导数</category><category id=\"28044\">导数及其应用</category><category id=\"28260\">导数的综合应用</category><category id=\"28294\">导数在函数中的其他应用</category><category id=\"28297\">利用导数研究不等式恒成立问题</category></item><item><category id=\"27925\">高中数学综合库</category><category id=\"27927\">函数与导数</category><category id=\"28044\">导数及其应用</category><category id=\"28260\">导数的综合应用</category><category id=\"28294\">导数在函数中的其他应用</category><category id=\"28299\">利用导数研究函数的零点</category></item><item><category id=\"79243\">北师大版</category><category id=\"79458\">选修1-1</category><category id=\"79461\">第三章 变化率与导数</category><category id=\"79490\">§2 导数的概念及其几何意义</category></item><item><category id=\"79243\">北师大版</category><category id=\"79458\">选修1-1</category><category id=\"79461\">第三章 变化率与导数</category><category id=\"79490\">§2 导数的概念及其几何意义</category><category id=\"79494\">2.1 导数的概念</category></item><item><category id=\"79243\">北师大版</category><category id=\"79458\">选修1-1</category><category id=\"79461\">第三章 变化率与导数</category><category id=\"79490\">§2 导数的概念及其几何意义</category><category id=\"79495\">2.2 导数的几何意义</category></item><item><category id=\"79243\">北师大版</category><category id=\"79458\">选修1-1</category><category id=\"79462\">第四章 导数应用</category><category id=\"79500\">本章复习与测试</category></item><item><category id=\"79243\">北师大版</category><category id=\"79587\">选修2-2</category><category id=\"79589\">第二章 变化率与导数</category><category id=\"79603\">§1 变化的快慢与变化率</category></item><item><category id=\"79243\">北师大版</category><category id=\"79587\">选修2-2</category><category id=\"79589\">第二章 变化率与导数</category><category id=\"79604\">§2 导数的概念及其几何意义</category></item><item><category id=\"79243\">北师大版</category><category id=\"79587\">选修2-2</category><category id=\"79589\">第二章 变化率与导数</category><category id=\"79604\">§2 导数的概念及其几何意义</category><category id=\"79610\">2.2 导数的几何意义</category></item><item><category id=\"79243\">北师大版</category><category id=\"79587\">选修2-2</category><category id=\"79590\">第三章 导数应用</category><category id=\"79615\">本章复习与测试</category></item><item><category id=\"79903\">人教A版</category><category id=\"80101\">选修1-1</category><category id=\"80104\">第三章 导数及其应用</category><category id=\"80136\">本章复习与测试</category></item><item><category id=\"79903\">人教A版</category><category id=\"80101\">选修1-1</category><category id=\"80104\">第三章 导数及其应用</category><category id=\"80132\">3.1 变化率与导数</category><category id=\"80138\">3.1.2 导数的概念</category></item><item><category id=\"79903\">人教A版</category><category id=\"80101\">选修1-1</category><category id=\"80104\">第三章 导数及其应用</category><category id=\"80132\">3.1 变化率与导数</category><category id=\"80139\">3.1.3 导数的几何意义</category></item><item><category id=\"79903\">人教A版</category><category id=\"80213\">选修2-2</category><category id=\"80214\">第一章 导数及其应用</category><category id=\"80218\">1.1 变化率与导数</category><category id=\"80228\">1.1.3 导数的几何意义</category></item><item><category id=\"80512\">人教B版</category><category id=\"80699\">选修1-1</category><category id=\"80702\">第三章 导数及其应用</category><category id=\"80724\">3.1 导数</category><category id=\"80730\">3.1.3 导数的几何意义</category></item><item><category id=\"80512\">人教B版</category><category id=\"80804\">选修2-2</category><category id=\"80805\">第一章 导数及其应用</category><category id=\"80809\">1.1 导数</category><category id=\"80816\">1.1.3 导数的几何意义</category></item><item><category id=\"81004\">苏教版</category><category id=\"81167\">选修1-1</category><category id=\"81170\">第3章 导数及其应用</category><category id=\"81192\">3.1 导数的概念</category><category id=\"81198\">3.1.2 瞬时变化率——导数</category></item><item><category id=\"81004\">苏教版</category><category id=\"81268\">选修2-2</category><category id=\"81269\">第1章 导数及其应用</category><category id=\"81273\">1.1 导数的概念</category><category id=\"81280\">1.1.2 瞬时变化率——导数</category></item><item><category id=\"81720\">湘教版</category><category id=\"81878\">选修1-1</category><category id=\"81881\">第3章 导数及其应用</category><category id=\"81902\">3.1 导数概念</category><category id=\"81909\">3.1.3 导数的概念和几何意义</category></item><item><category id=\"81720\">湘教版</category><category id=\"81980\">选修2-2</category><category id=\"81981\">第4章 导数及其应用</category><category id=\"81985\">4.1 导数概念</category><category id=\"81993\">4.1.3 导数的概念和几何意义</category></item><item><category id=\"81004\">苏教版</category><category id=\"81167\">选修1-1</category><category id=\"81170\">第3章 导数及其应用</category><category id=\"81196\">本章复习与测试</category></item><item><category id=\"81004\">苏教版</category><category id=\"81268\">选修2-2</category><category id=\"81269\">第1章 导数及其应用</category><category id=\"81278\">本章复习与测试</category></item><item><category id=\"81720\">湘教版</category><category id=\"81878\">选修1-1</category><category id=\"81881\">第3章 导数及其应用</category><category id=\"81906\">本章复习与测试</category></item><item><category id=\"81720\">湘教版</category><category id=\"81980\">选修2-2</category><category id=\"81981\">第4章 导数及其应用</category><category id=\"81990\">本章复习与测试</category></item><item><category id=\"80512\">人教B版</category><category id=\"80699\">选修1-1</category><category id=\"80702\">第三章 导数及其应用</category><category id=\"80727\">本章复习与测试</category></item><item><category id=\"80512\">人教B版</category><category id=\"80804\">选修2-2</category><category id=\"80805\">第一章 导数及其应用</category><category id=\"80813\">本章复习与测试</category></item><item><category id=\"79903\">人教A版</category><category id=\"80213\">选修2-2</category><category id=\"80214\">第一章 导数及其应用</category><category id=\"80218\">1.1 变化率与导数</category></item><item><category id=\"79903\">人教A版</category><category id=\"80213\">选修2-2</category><category id=\"80214\">第一章 导数及其应用</category><category id=\"80218\">1.1 变化率与导数</category><category id=\"80226\">1.1.1 变化率问题</category></item><item><category id=\"80512\">人教B版</category><category id=\"80804\">选修2-2</category><category id=\"80805\">第一章 导数及其应用</category><category id=\"80809\">1.1 导数</category><category id=\"80814\">1.1.1 函数的平均变化率</category></item><item><category id=\"81004\">苏教版</category><category id=\"81167\">选修1-1</category><category id=\"81170\">第3章 导数及其应用</category><category id=\"81192\">3.1 导数的概念</category></item><item><category id=\"81004\">苏教版</category><category id=\"81268\">选修2-2</category><category id=\"81269\">第1章 导数及其应用</category><category id=\"81273\">1.1 导数的概念</category><category id=\"81279\">1.1.1 平均变化率</category></item><item><category id=\"81720\">湘教版</category><category id=\"81878\">选修1-1</category><category id=\"81881\">第3章 导数及其应用</category><category id=\"81902\">3.1 导数概念</category></item><item><category id=\"82158\">大纲版</category><category id=\"82242\">高三全册</category><category id=\"82245\">第三章 导数</category><category id=\"82268\">3.1 导数的概念</category></item>","ChildNum":1,"Time":"2019-02-12T16:37:57","QuesBody":"<div>【题文】设函数<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image178.png\" style=\"vertical-align:middle;\" />．<br />（1）求曲线<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image081.png\" style=\"vertical-align:middle;\" />在点<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image179.png\" style=\"vertical-align:middle;\" />处的切线方程；<br />（2）若<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image180.png\" style=\"vertical-align:middle;\" />对<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image181.png\" style=\"vertical-align:middle;\" />恒成立，求实数<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image025.png\" style=\"vertical-align:middle;\" />的取值范围；<br />（3）求整数<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image028.png\" style=\"vertical-align:middle;\" />的值，使函数<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image182.png\" style=\"vertical-align:middle;\" />在区间<img src=\"Upload/2019-02/12/c5b68475-e6f2-483c-a480-b5a9835d55c6/paper.files/image183.png\" style=\"vertical-align:middle;\" />上有零点．</div>","QuesAnswer":"","QuesParse":"","UseSum":190,"AvgScore":5.0,"ParseAnswerKey":"8521949db0b5ff8e54784edd62c3efb2","QuesAttribute":0}],"bankId":0,"PaperQuesCount":22,"ReadSum":49,"schoolId":0}
