江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题
适用年级：高一试卷类型：期末试题总数：21浏览次数：511上传日期：2018/10/10
一、单选题
1 . 若角
的终边经过点
，则（ ）
难度系数：0.85使用：326次题型：单选题更新：2018/2/13
难度系数：0.85使用：534次题型：单选题更新：2018/8/2
3 . 圆
与直线
的位置关系是（ ）
难度系数：0.94使用：550次题型：单选题更新：2018/2/11
4 . 在平面直角坐标系中，
是圆
上的四段弧（如图），点
P在其中一段上，角
以
O𝑥为始边，
OP为终边，若
，则
P所在的圆弧是
难度系数：0.65使用：2296次题型：单选题更新：2018/6/11
难度系数：0.65使用：587次题型：单选题更新：2018/10/10
6 . 《九章算术》是我国古代数学成就的杰出代表作，其中《方田》章给出计算弧田面积所用的经验方式为：弧田面积=
（弦×矢+矢
2），弧田（如图）由圆弧和其所对弦所围成，公式中“弦”指圆弧所对弦长，“矢”等于半径长与圆心到弦的距离之差，现有圆心角为
，半径等于
米的弧田，按照上述经验公式计算所得弧田面积约是
难度系数：0.65使用：785次题型：单选题更新：2018/10/10
难度系数：0.65使用：11343次题型：单选题更新：2018/6/10
8 . 在平面直角坐标系
中，已知两圆
：
和
：
，又
点坐标为
，
是
上的动点，
为
上的动点，则四边形
能构成矩形的个数为（ ）
难度系数：0.65使用：493次题型：单选题更新：2018/10/10
9 . 直线
分别与
轴，
轴交于
，
两点，点
在圆
上，则
面积的取值范围是
难度系数：0.85使用：7666次题型：单选题更新：2018/6/10
10 . 已知
是平面向量，
是单位向量．若非零向量
与
的夹角为
，向量
满足
，则
的最小值是
难度系数：0.65使用：190次题型：单选题更新：2018/7/8
11 . 已知数列
中，
.若对于任意的
，不等式
恒成立，则实数
的取值范围为
难度系数：0.65使用：502次题型：单选题更新：2018/10/10
二、填空题
12 . 在平面直角坐标系中，经过三点（0，0），（1，1），（2，0）的圆的方程为__________．
难度系数：0.85使用：2482次题型：填空题更新：2018/6/11
难度系数：0.65使用：675次题型：填空题更新：2018/10/10
14 . 设点O为
的内部，点D，E分别为边AC，BC的中点，且
，则
．
难度系数：0.4使用：1668次题型：填空题更新：2016/2/22
15 . 对于任一实数序列
，定义
为序列
，它的第
项是
，假定序列
的所有项都是
，且
，则
_________．
难度系数：0.15使用：672次题型：填空题更新：2018/4/11
三、解答题
16 . 已知角
的终边经过点
.
（1）求
的值；
（2）求
的值.
难度系数：0.65使用：790次题型：解答题更新：2018/2/11
17 . 已知数列
的前
项和为
，且
，在数列
中，
，点
在直线
上．
（1）求数列
，
的通项公式；
（2）记
，求
.
难度系数：0.65使用：1445次题型：解答题更新：2018/10/10
18 . 如图，已知圆
的方程为
，过点
的直线
与圆
交于点
，与
轴交于点
，设
，求证：
为定值．
难度系数：0.65使用：415次题型：解答题更新：2018/10/10
19 . （2018年文北京卷）已知函数
.
（Ⅰ）求
的最小正周期；
（Ⅱ）若
在区间
上的最大值为
，求
的最小值.
难度系数：0.85使用：6459次题型：解答题更新：2018/6/11
20 . 如图在
中，
，
的平分线
交
于点
，设
，其中
是直线
的倾斜角．
（1）求
的大小；
（2）若
，求
的最小值及取得最小值时的x的值．
难度系数：0.65使用：456次题型：解答题更新：2018/8/31
21 . 已知数列
满足
，数列
的前
项和为
．
（1）求
的值；
（2）若
．
①求证：数列
为等差数列；
②求满足
的所有数对
．
难度系数：0.65使用：262次题型：解答题更新：2018/10/10
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平面向量数量积的坐标表示</category></item>","ChildNum":1,"Time":"2018-08-02T16:37:15","QuesBody":"<div>【题文】若向量<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/02/26c6ca81-347a-4c68-96e0-61595112920a/paper.files/image018.png\">，<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/02/26c6ca81-347a-4c68-96e0-61595112920a/paper.files/image019.png\">满足：<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/02/26c6ca81-347a-4c68-96e0-61595112920a/paper.files/image020.png\">，<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/02/26c6ca81-347a-4c68-96e0-61595112920a/paper.files/image021.png\">，<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/02/26c6ca81-347a-4c68-96e0-61595112920a/paper.files/image022.png\">，则<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/02/26c6ca81-347a-4c68-96e0-61595112920a/paper.files/image023.png\">（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/02/26c6ca81-347a-4c68-96e0-61595112920a/paper.files/image024.png\"></td><td width=\"25%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/02/26c6ca81-347a-4c68-96e0-61595112920a/paper.files/image025.png\"></td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/02/26c6ca81-347a-4c68-96e0-61595112920a/paper.files/image014.png\"></td><td width=\"25%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/02/26c6ca81-347a-4c68-96e0-61595112920a/paper.files/image026.png\"></td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":534,"AvgScore":5.0,"ParseAnswerKey":"96b0d67bb2ea9e8d489006e9d677a901","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2018·黑龙江高考模拟（理）","PaperSource":[{"Id":380822,"PaperTitle":"黑龙江省2018届高三仿真模拟（四）数学（理科）试题","LearnGrade":12,"PaperType":9,"Province":230000,"PaperYear":2018,"PaperLevel":61,"AddTimeOn":"2018-08-02T16:36:59","SchoolId":0,"MatchingDegree":1},{"Id":381142,"PaperTitle":"黑龙江省2018年普通高等学校招生全国统一考试仿真模拟（四）数学（文科）试卷","LearnGrade":12,"PaperType":9,"Province":230000,"PaperYear":2018,"PaperLevel":61,"AddTimeOn":"2018-08-03T19:36:59","SchoolId":0,"MatchingDegree":0},{"Id":406474,"PaperTitle":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题","LearnGrade":10,"PaperType":5,"Province":360000,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-10-10T20:39:12","SchoolId":35222,"MatchingDegree":0}]},{"ID":6038076,"Guid":"a52647f2-dd46-412e-97b8-585c07df2676","Title":"山东省济南第一中学2017-2018学年高一上学期期末考试数学试题","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":1,"DifValue":0.94,"Name":"容易"},"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=\"29140\" type=\"1\">直线与圆的位置关系</category><category id=\"29144\" type=\"1\">判断直线与圆的位置关系</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79292\" type=\"0\">必修2</category><category id=\"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=\"79243\" type=\"0\">北师大版</category><category id=\"79674\" type=\"0\">选修4-1</category><category id=\"79675\" type=\"0\">第一章 直线、多边形、圆</category><category id=\"79679\" type=\"0\">§2 圆与直线</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></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=\"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=\"79988\" type=\"0\">4.2.2 圆与圆的位置关系</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=\"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=\"80581\" type=\"0\">2.3.4 圆与圆的位置关系</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81033\" type=\"0\">必修2</category><category id=\"81035\" type=\"0\">第2章 平面解析几何初步</category><category id=\"81052\" type=\"0\">2.2 圆与方程</category><category id=\"81062\" type=\"0\">2.2.2 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=\"81063\" type=\"0\">2.2.3 圆与圆的位置关系</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81792\" type=\"0\">必修第三册</category><category id=\"81794\" type=\"0\">第7章 解析几何初步</category><category id=\"81807\" type=\"0\">7.3 圆与方程</category><category id=\"81817\" type=\"0\">7.3.3 直线与圆、圆与圆的位置关系</category></item>","ChildNum":1,"Time":"2018-02-11T15:54:57","QuesBody":"<div>【题文】圆<img style=\"vertical-align:middle;\" src=\"Upload/2018-02/11/ab80a61e-e99f-49fe-ac7d-f3a760a8c11a/paper.files/image028.png\">与直线<img style=\"vertical-align:middle;\" src=\"Upload/2018-02/11/ab80a61e-e99f-49fe-ac7d-f3a760a8c11a/paper.files/image029.png\">的位置关系是（ ）<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．相交</td><td width=\"25%\">B．相切</td><td width=\"25%\">C．相离</td><td 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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=\"28325\" type=\"1\">任意角的三角函数</category><category id=\"28359\" type=\"1\">三角函数线</category><category id=\"28372\" type=\"1\">三角函数线的应用</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=\"79378\" type=\"0\">§4 正弦函数和余弦函数的定义与诱导公式</category><category id=\"79386\" type=\"0\">4.2 单位圆与周期性</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=\"79814\" type=\"0\">5.1 任意角的三角比</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=\"80034\" 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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=\"81117\" type=\"0\">1.3.1 三角函数的周期性</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81524\" type=\"0\">高中一年级第二学期</category><category id=\"81526\" type=\"0\">第5章 三角比</category><category id=\"81541\" type=\"0\">一 任意角的三角比</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81524\" type=\"0\">高中一年级第二学期</category><category id=\"81526\" type=\"0\">第5章 三角比</category><category id=\"81541\" type=\"0\">一 任意角的三角比</category><category id=\"81546\" type=\"0\">5.2 任意角的三角比</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=\"81762\" type=\"0\">3.2 任意角的三角函数</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81756\" type=\"0\">必修第二册</category><category id=\"81757\" type=\"0\">第3章 三角函数</category><category id=\"81762\" type=\"0\">3.2 任意角的三角函数</category><category id=\"81768\" type=\"0\">3.2.1 任意角三角函数的定义</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=\"81773\" type=\"0\">3.4.1 三角函数的周期性</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82202\" type=\"0\">高一下册</category><category id=\"82203\" type=\"0\">第四章 三角函数</category><category id=\"82205\" type=\"0\">一 任意角的三角函数</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82202\" type=\"0\">高一下册</category><category id=\"82203\" type=\"0\">第四章 三角函数</category><category id=\"82205\" type=\"0\">一 任意角的三角函数</category><category id=\"82210\" type=\"0\">4.3 任意角的三角函数</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82202\" type=\"0\">高一下册</category><category id=\"82203\" type=\"0\">第四章 三角函数</category><category id=\"82207\" type=\"0\">三 三角函数的图象和性质</category><category id=\"82219\" type=\"0\">4.11 已知三角函数值求角</category></item>","ChildNum":1,"Time":"2018-06-11T13:09:03","QuesBody":"<div>【题文】在平面直角坐标系中，<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/12/3b14f693-03be-4188-9121-9a375abf154d/paper.files/image001.png\">是圆<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/12/3b14f693-03be-4188-9121-9a375abf154d/paper.files/image002.png\">上的四段弧（如图），点<i>P</i>在其中一段上，角<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/12/3b14f693-03be-4188-9121-9a375abf154d/paper.files/image003.png\">以<i>O</i>𝑥为始边，<i>OP</i>为终边，若<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/12/3b14f693-03be-4188-9121-9a375abf154d/paper.files/image004.png\">，则<i>P</i>所在的圆弧是<br><img style=\"vertical-align:middle;\" src=\"Upload/2018-06/12/3b14f693-03be-4188-9121-9a375abf154d/paper.files/image005.png\"><table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"50%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/12/3b14f693-03be-4188-9121-9a375abf154d/paper.files/image006.png\"></td><td width=\"50%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/12/3b14f693-03be-4188-9121-9a375abf154d/paper.files/image007.png\"></td></tr><tr><td width=\"50%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/12/3b14f693-03be-4188-9121-9a375abf154d/paper.files/image008.png\"></td><td width=\"50%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/12/3b14f693-03be-4188-9121-9a375abf154d/paper.files/image009.png\"></td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":2296,"AvgScore":5.0,"ParseAnswerKey":"e7332f5b5aee1aa91a2956eb4072672f","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2018·北京高考真题（文）","PaperSource":[{"Id":362572,"PaperTitle":"2018年全国普通高等学校招生统一考试文科数学（北京卷）","LearnGrade":12,"PaperType":12,"Province":110000,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-06-11T13:08:41","SchoolId":0,"MatchingDegree":1},{"Id":406474,"PaperTitle":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题","LearnGrade":10,"PaperType":5,"Province":360000,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-10-10T20:39:12","SchoolId":35222,"MatchingDegree":0},{"Id":444696,"PaperTitle":"浙江省衢州市五校联盟2019届高三年级上学期联考数学试题","LearnGrade":12,"PaperType":9,"Province":330000,"PaperYear":2018,"PaperLevel":61,"AddTimeOn":"2018-12-25T18:02:23","SchoolId":0,"MatchingDegree":0}]},{"ID":6981092,"Guid":"85093d4f-9dab-4ee8-b7e3-8c949e83d087","Title":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（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":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=\"28321\" type=\"1\">三角函数</category><category id=\"28328\" type=\"1\">三角函数的图象与性质</category><category id=\"28392\" type=\"1\">正弦函数的单调性</category><category id=\"28419\" type=\"1\">求sinx的函数的单调性</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27928\" type=\"1\">三角函数与解三角形</category><category id=\"28321\" type=\"1\">三角函数</category><category id=\"28329\" type=\"1\">函数y=Asin(ωx+φ)的图象变换</category><category id=\"28494\" type=\"1\">三角函数的图象变换</category><category id=\"28500\" type=\"1\">求图象变化前（后）的解析式</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79244\" type=\"0\">必修1</category><category id=\"79247\" type=\"0\">第三章 指数函数和对数函数</category><category id=\"79269\" type=\"0\">§3 指数函数</category><category id=\"79277\" type=\"0\">3.2 指数函数y=2x和y=(1/2)x的图像和性质</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=\"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=\"79379\" type=\"0\">§5 正弦函数的图像与性质</category><category id=\"79389\" type=\"0\">5.1 正弦函数的图像</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=\"79379\" type=\"0\">§5 正弦函数的图像与性质</category><category id=\"79390\" type=\"0\">5.2 正弦函数的性质</category></item><item><category id=\"79746\" type=\"0\">北师大版（2004）</category><category id=\"79747\" type=\"0\">必修四</category><category id=\"79748\" type=\"0\">第一章 三角函数</category><category id=\"79755\" type=\"0\">1.4 正弦函数</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=\"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=\"80036\" type=\"0\">1.4 三角函数的图象与性质</category><category id=\"80044\" type=\"0\">1.4.1 正弦函数、余弦函数的图象</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=\"80036\" type=\"0\">1.4 三角函数的图象与性质</category><category id=\"80045\" type=\"0\">1.4.2 正弦函数、余弦函数的性质</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80624\" type=\"0\">必修4</category><category id=\"80625\" type=\"0\">第一章 基本初等函数（Ⅱ）</category><category id=\"80632\" type=\"0\">本章复习与测试</category></item><item><category id=\"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=\"80639\" type=\"0\">1.3.1 正弦函数的图象与性质</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=\"81004\" type=\"0\">苏教版</category><category id=\"81524\" type=\"0\">高中一年级第二学期</category><category id=\"81527\" type=\"0\">第6章 三角函数</category><category id=\"81553\" type=\"0\">一 三角函数的图像与性质</category><category id=\"81556\" type=\"0\">6.1 正弦函数和余弦函数的图像与性质</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81524\" type=\"0\">高中一年级第二学期</category><category id=\"81527\" type=\"0\">第6章 三角函数</category><category id=\"81553\" type=\"0\">一 三角函数的图像与性质</category><category id=\"81559\" type=\"0\">6.3 函数y=Asin(ωx+ψ)的图像与性质</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81756\" type=\"0\">必修第二册</category><category id=\"81757\" type=\"0\">第3章 三角函数</category><category id=\"81764\" type=\"0\">3.4 函数y=Asin(ωx+φ)的图象与性质</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81756\" type=\"0\">必修第二册</category><category id=\"81757\" type=\"0\">第3章 三角函数</category><category id=\"81763\" type=\"0\">3.3 三角函数的图象与性质</category><category id=\"81771\" type=\"0\">3.3.1 正弦函数、余弦函数的图象与性质</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81756\" type=\"0\">必修第二册</category><category id=\"81757\" type=\"0\">第3章 三角函数</category><category id=\"81764\" type=\"0\">3.4 函数y=Asin(ωx+φ)的图象与性质</category><category id=\"81774\" type=\"0\">3.4.2 函数y=Asin(ωx+φ)的图象与性质</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82202\" type=\"0\">高一下册</category><category id=\"82203\" type=\"0\">第四章 三角函数</category><category id=\"82207\" type=\"0\">三 三角函数的图象和性质</category><category id=\"82216\" type=\"0\">4.8 正弦函数、余弦函数的图象和性质</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82202\" type=\"0\">高一下册</category><category id=\"82203\" type=\"0\">第四章 三角函数</category><category id=\"82207\" type=\"0\">三 三角函数的图象和性质</category><category id=\"82217\" type=\"0\">4.9 函数y=Asin（ωx+φ）的图象</category></item>","ChildNum":1,"Time":"2018-10-10T20:39:31","QuesBody":"<div>【题文】将函数<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image053.png\">的图象向右平移<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image054.png\">个单位长度，所得图象对应的函数<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"50%\">A．在区间<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image055.png\">上单调递增</td><td width=\"50%\">B．在区间<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image056.png\">上单调递减</td></tr><tr><td width=\"50%\">C．在区间<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image057.png\">上单调递增</td><td width=\"50%\">D．在区间<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image058.png\">上单调递减</td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":587,"AvgScore":5.0,"ParseAnswerKey":"58e2426f47baf49d1231178d3d908f8f","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2018·江西省上饶县中学高一期末（理）","PaperSource":[{"Id":406474,"PaperTitle":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题","LearnGrade":10,"PaperType":5,"Province":360000,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-10-10T20:39:12","SchoolId":35222,"MatchingDegree":1}]},{"ID":6981093,"Guid":"07988f1f-bf70-418c-97e1-491a6d71e8d1","Title":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（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":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=\"28321\" type=\"1\">三角函数</category><category id=\"28324\" type=\"1\">任意角和弧度制</category><category id=\"28341\" type=\"1\">弧长公式、扇形面积公式</category><category id=\"28355\" type=\"1\">扇形弧长公式与面积公式的应用</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=\"79377\" type=\"0\">§3 弧度制</category></item><item><category id=\"79746\" type=\"0\">北师大版（2004）</category><category id=\"79747\" type=\"0\">必修四</category><category id=\"79748\" type=\"0\">第一章 三角函数</category><category id=\"79754\" type=\"0\">1.3 弧度制</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=\"79814\" type=\"0\">5.1 任意角的三角比</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=\"80033\" type=\"0\">1.1 任意角和弧度制</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=\"80033\" type=\"0\">1.1 任意角和弧度制</category><category id=\"80041\" type=\"0\">1.1.2 弧度制</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=\"80629\" type=\"0\">1.1 任意角的概念与弧度制</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=\"80629\" type=\"0\">1.1 任意角的概念与弧度制</category><category id=\"80634\" type=\"0\">1.1.2 弧度制和弧度制与角度制的换算</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=\"80641\" type=\"0\">1.3.3 已知三角函数值求角</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=\"81108\" type=\"0\">1.1 任意角、弧度</category><category id=\"81113\" type=\"0\">1.1.2 弧度制</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81524\" type=\"0\">高中一年级第二学期</category><category id=\"81526\" type=\"0\">第5章 三角比</category><category id=\"81541\" type=\"0\">一 任意角的三角比</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81524\" type=\"0\">高中一年级第二学期</category><category id=\"81526\" type=\"0\">第5章 三角比</category><category id=\"81541\" type=\"0\">一 任意角的三角比</category><category id=\"81546\" type=\"0\">5.2 任意角的三角比</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=\"81761\" type=\"0\">3.1 弧度制与任意角</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=\"81761\" type=\"0\">3.1 弧度制与任意角</category><category id=\"81767\" type=\"0\">3.1.2 弧度制</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82202\" type=\"0\">高一下册</category><category id=\"82203\" type=\"0\">第四章 三角函数</category><category id=\"82205\" type=\"0\">一 任意角的三角函数</category><category id=\"82209\" type=\"0\">4.2 弧度制</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82202\" type=\"0\">高一下册</category><category id=\"82203\" type=\"0\">第四章 三角函数</category><category id=\"82207\" type=\"0\">三 三角函数的图象和性质</category><category id=\"82219\" type=\"0\">4.11 已知三角函数值求角</category></item>","ChildNum":1,"Time":"2018-10-10T20:39:32","QuesBody":"<div>【题文】《九章算术》是我国古代数学成就的杰出代表作，其中《方田》章给出计算弧田面积所用的经验方式为：弧田面积=<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image066.png\">（弦×矢+矢<sup>2</sup>），弧田（如图）由圆弧和其所对弦所围成，公式中“弦”指圆弧所对弦长，“矢”等于半径长与圆心到弦的距离之差，现有圆心角为<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image067.png\">，半径等于<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image068.png\">米的弧田，按照上述经验公式计算所得弧田面积约是 <img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image069.png\"><br><img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image070.png\"><table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"50%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image071.png\">平方米</td><td width=\"50%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image072.png\">平方米</td></tr><tr><td width=\"50%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image073.png\">平方米</td><td width=\"50%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image074.png\">平方米</td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":785,"AvgScore":5.0,"ParseAnswerKey":"a904392a8d0a72fbe9ddfa1449bf2339","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2018·江西省上饶县中学高一期末（理）","PaperSource":[{"Id":406474,"PaperTitle":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题","LearnGrade":10,"PaperType":5,"Province":360000,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-10-10T20:39:12","SchoolId":35222,"MatchingDegree":1}]},{"ID":6501832,"Guid":"7471ef5f-950f-4e5a-a78e-df5ac6add6f2","Title":"2018年全国普通高等学校招生统一考试理科数学（新课标I卷）","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=\"27930\" type=\"1\">数列</category><category id=\"28643\" type=\"1\">等差数列</category><category id=\"28666\" type=\"1\">等差数列及其通项公式</category><category id=\"28678\" type=\"1\">等差数列通项公式的基本量计算</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27930\" type=\"1\">数列</category><category id=\"28643\" type=\"1\">等差数列</category><category id=\"28670\" type=\"1\">等差数列的前n项和</category><category id=\"28687\" type=\"1\">等差数列前n项和的基本量计算</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79422\" type=\"0\">必修5</category><category id=\"79423\" type=\"0\">第一章 数列</category><category id=\"79428\" type=\"0\">§2 等差数列</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79422\" type=\"0\">必修5</category><category id=\"79423\" type=\"0\">第一章 数列</category><category id=\"79428\" type=\"0\">§2 等差数列</category><category id=\"79435\" type=\"0\">2.2 等差数列的前n项和</category></item><item><category id=\"79903\" type=\"0\">人教A版</category><category id=\"80073\" 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src=\"Upload/2018-06/10/4f0996f7-9be1-4e7d-905e-144730c2d672/paper.files/image025.png\">项和，若<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/10/4f0996f7-9be1-4e7d-905e-144730c2d672/paper.files/image026.png\">，<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/10/4f0996f7-9be1-4e7d-905e-144730c2d672/paper.files/image027.png\">，则<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/10/4f0996f7-9be1-4e7d-905e-144730c2d672/paper.files/image028.png\"><table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/10/4f0996f7-9be1-4e7d-905e-144730c2d672/paper.files/image029.png\"></td><td width=\"25%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/10/4f0996f7-9be1-4e7d-905e-144730c2d672/paper.files/image030.png\"></td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" 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src=\"Upload/2018-06/10/4824e848-d80b-4198-9edf-70b5b3496a28/paper.files/image040.png\">上，则<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/10/4824e848-d80b-4198-9edf-70b5b3496a28/paper.files/image041.png\">面积的取值范围是<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/10/4824e848-d80b-4198-9edf-70b5b3496a28/paper.files/image042.png\"></td><td width=\"25%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/10/4824e848-d80b-4198-9edf-70b5b3496a28/paper.files/image043.png\"></td><td width=\"25%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2018-06/10/4824e848-d80b-4198-9edf-70b5b3496a28/paper.files/image044.png\"></td><td width=\"25%\">D．<img style=\"vertical-align:middle;\" 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type=\"0\">2.3 圆的方程</category><category id=\"80579\" type=\"0\">2.3.2 圆的一般方程</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80624\" type=\"0\">必修4</category><category id=\"80626\" type=\"0\">第二章 平面向量</category><category id=\"80644\" type=\"0\">2.3 平面向量的数量积</category></item><item><category id=\"80512\" type=\"0\">人教B版</category><category id=\"80624\" type=\"0\">必修4</category><category id=\"80626\" type=\"0\">第二章 平面向量</category><category id=\"80644\" type=\"0\">2.3 平面向量的数量积</category><category id=\"80656\" type=\"0\">2.3.2 向量数量积的运算律</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81103\" type=\"0\">必修4</category><category id=\"81105\" type=\"0\">第2章 平面向量</category><category id=\"81124\" type=\"0\">2.4 向量的数量积</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81565\" type=\"0\">高中二年级第一学期</category><category id=\"81567\" type=\"0\">第8章 平面向量的坐标表示</category><category id=\"81586\" 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type=\"0\">7.3 圆与方程</category><category id=\"81816\" type=\"0\">7.3.2 圆的一般方程</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82202\" type=\"0\">高一下册</category><category id=\"82204\" type=\"0\">第五章 平面向量</category><category id=\"82223\" type=\"0\">一 向量及其运算</category><category id=\"82231\" type=\"0\">5.7 平面向量数量积的坐标表示</category></item>","ChildNum":1,"Time":"2018-07-08T20:09:50","QuesBody":"<div>【题文】已知<img style=\"vertical-align:middle;\" src=\"Upload/2018-07/08/3f118a56-4664-4813-80dd-44619c6bde90/paper.files/image220.png\">是平面向量，<img style=\"vertical-align:middle;\" src=\"Upload/2018-07/08/3f118a56-4664-4813-80dd-44619c6bde90/paper.files/image221.png\">是单位向量．若非零向量<img style=\"vertical-align:middle;\" src=\"Upload/2018-07/08/3f118a56-4664-4813-80dd-44619c6bde90/paper.files/image222.png\">与<img style=\"vertical-align:middle;\" src=\"Upload/2018-07/08/3f118a56-4664-4813-80dd-44619c6bde90/paper.files/image221.png\">的夹角为<img style=\"vertical-align:middle;\" src=\"Upload/2018-07/08/3f118a56-4664-4813-80dd-44619c6bde90/paper.files/image223.png\">，向量<img style=\"vertical-align:middle;\" src=\"Upload/2018-07/08/3f118a56-4664-4813-80dd-44619c6bde90/paper.files/image224.png\">满足<img style=\"vertical-align:middle;\" src=\"Upload/2018-07/08/3f118a56-4664-4813-80dd-44619c6bde90/paper.files/image225.png\">，则<img style=\"vertical-align:middle;\" src=\"Upload/2018-07/08/3f118a56-4664-4813-80dd-44619c6bde90/paper.files/image226.png\">的最小值是<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"25%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2018-07/08/3f118a56-4664-4813-80dd-44619c6bde90/paper.files/image227.png\"></td><td width=\"25%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2018-07/08/3f118a56-4664-4813-80dd-44619c6bde90/paper.files/image228.png\"></td><td width=\"25%\">C．2</td><td width=\"25%\">D．<img style=\"vertical-align:middle;\" src=\"Upload/2018-07/08/3f118a56-4664-4813-80dd-44619c6bde90/paper.files/image229.png\"></td></tr></tbody></table></div>","QuesAnswer":"","QuesParse":"","UseSum":190,"AvgScore":5.0,"ParseAnswerKey":"f759ff9fe8fd0673f686117a39dbdcd0","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2018·江西省上饶县中学高一期末（理）","PaperSource":[{"Id":406474,"PaperTitle":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题","LearnGrade":10,"PaperType":5,"Province":360000,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-10-10T20:39:12","SchoolId":35222,"MatchingDegree":0}]},{"ID":6981095,"Guid":"feb25ffd-43f8-4d18-9994-7a616271120b","Title":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（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":3,"DifValue":0.65,"Name":"一般"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27927\" 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id=\"81141\" type=\"0\">第2章 数列</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81139\" type=\"0\">必修5</category><category id=\"81141\" type=\"0\">第2章 数列</category><category id=\"81148\" type=\"0\">2.1 数列</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81565\" type=\"0\">高中二年级第一学期</category><category id=\"81566\" type=\"0\">第7章 数列与数学归纳法</category><category id=\"81571\" type=\"0\">一 数列</category><category id=\"81575\" type=\"0\">7.1 数列</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81818\" type=\"0\">必修第四册</category><category id=\"81820\" type=\"0\">第9章 数列</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81818\" type=\"0\">必修第四册</category><category id=\"81820\" type=\"0\">第9章 数列</category><category id=\"81827\" type=\"0\">9.1 数列的概念</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82159\" type=\"0\">高一上册</category><category id=\"82162\" type=\"0\">第三章 数列</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82159\" type=\"0\">高一上册</category><category id=\"82162\" type=\"0\">第三章 数列</category><category id=\"82193\" type=\"0\">3.1 数列</category></item>","ChildNum":1,"Time":"2018-10-10T20:39:33","QuesBody":"<div>【题文】已知数列<img style=\"vertical-align:middle;\" src=\"Upload/2018-11/01/f3e8a4de-18b0-4320-9b78-e9b9b5f04217/paper.files/image001.png\">中，<img style=\"vertical-align:middle;\" src=\"Upload/2018-11/01/f3e8a4de-18b0-4320-9b78-e9b9b5f04217/paper.files/image002.png\">.若对于任意的<img style=\"vertical-align:middle;\" src=\"Upload/2018-11/01/f3e8a4de-18b0-4320-9b78-e9b9b5f04217/paper.files/image003.png\">，不等式<img style=\"vertical-align:middle;\" src=\"Upload/2018-11/01/f3e8a4de-18b0-4320-9b78-e9b9b5f04217/paper.files/image004.png\">恒成立，则实数<img style=\"vertical-align:middle;\" src=\"Upload/2018-11/01/f3e8a4de-18b0-4320-9b78-e9b9b5f04217/paper.files/image005.png\">的取值范围为<table name=\"optionsTable\" cellpadding=\"0\" cellspacing=\"0\" width=\"100%\"><tbody><tr><td width=\"50%\">A．<img style=\"vertical-align:middle;\" src=\"Upload/2018-11/01/f3e8a4de-18b0-4320-9b78-e9b9b5f04217/paper.files/image006.png\"></td><td width=\"50%\">B．<img style=\"vertical-align:middle;\" src=\"Upload/2018-11/01/f3e8a4de-18b0-4320-9b78-e9b9b5f04217/paper.files/image007.png\"></td></tr><tr><td width=\"50%\">C．<img style=\"vertical-align:middle;\" src=\"Upload/2018-11/01/f3e8a4de-18b0-4320-9b78-e9b9b5f04217/paper.files/image008.png\"></td><td width=\"50%\">D．<img style=\"vertical-align:middle;\" 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type=\"0\">高中二年级第一学期</category><category id=\"81567\" type=\"0\">第8章 平面向量的坐标表示</category><category id=\"81588\" type=\"0\">8.4 向量的应用</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81756\" type=\"0\">必修第二册</category><category id=\"81758\" type=\"0\">第4章 向量</category><category id=\"81781\" type=\"0\">4.6 向量的应用</category></item>","ChildNum":1,"Time":"2016-02-22T18:28:24","QuesBody":"<div>【题文】设点O为<img style=\"vertical-align:middle;\" src=\"Upload/2019-01/14/5374e3a5-ed26-4251-b3e6-f12457c927de/paper.files/image001.png\">的内部，点D，E分别为边AC，BC的中点，且<img style=\"vertical-align:middle;\" src=\"Upload/2019-01/14/5374e3a5-ed26-4251-b3e6-f12457c927de/paper.files/image002.png\">，则<img style=\"vertical-align:middle;\" src=\"Upload/2019-01/14/5374e3a5-ed26-4251-b3e6-f12457c927de/paper.files/image003.png\"><u> </u>．</div>","QuesAnswer":"","QuesParse":"","UseSum":1668,"AvgScore":5.0,"ParseAnswerKey":"743018dbba0a978054045fa48579361a","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2016·安徽高三期中（理）","PaperSource":[{"Id":162941,"PaperTitle":"2016届安徽省合肥市一中高三上学期期中考试理科数学试卷（带解析）","LearnGrade":12,"PaperType":4,"Province":340000,"PaperYear":2016,"PaperLevel":51,"AddTimeOn":"2017-07-26T15:41:20","SchoolId":0,"MatchingDegree":1},{"Id":406474,"PaperTitle":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题","LearnGrade":10,"PaperType":5,"Province":360000,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-10-10T20:39:12","SchoolId":35222,"MatchingDegree":0}]},{"ID":6279867,"Guid":"7fe6ec12-8495-4783-b958-718f64b22da0","Title":"江西省八所重点中学2018年高三下学期联考数学（理科）试卷","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":5,"DifValue":0.15,"Name":"困难"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27930\" type=\"1\">数列</category><category id=\"28642\" type=\"1\">数列的概念与简单表示法</category><category id=\"28654\" type=\"1\">递推数列</category><category id=\"28661\" type=\"1\">根据数列递推公式写出数列的项</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27930\" type=\"1\">数列</category><category id=\"28642\" type=\"1\">数列的概念与简单表示法</category><category id=\"28654\" type=\"1\">递推数列</category><category id=\"28663\" type=\"1\">由递推数列研究数列的有关性质</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79422\" type=\"0\">必修5</category><category id=\"79423\" type=\"0\">第一章 数列</category><category id=\"79427\" type=\"0\">§1 数列</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79422\" type=\"0\">必修5</category><category id=\"79423\" type=\"0\">第一章 数列</category><category id=\"79427\" type=\"0\">§1 数列</category><category id=\"79432\" type=\"0\">1.1 数列的概念</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></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=\"80083\" type=\"0\">2.1 数列的概念与简单表示法</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></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=\"80679\" type=\"0\">2.1 数列</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=\"80679\" type=\"0\">2.1 数列</category><category id=\"80683\" type=\"0\">2.1.1 数列</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81139\" type=\"0\">必修5</category><category id=\"81141\" type=\"0\">第2章 数列</category></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=\"81148\" type=\"0\">2.1 数列</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81565\" type=\"0\">高中二年级第一学期</category><category id=\"81566\" type=\"0\">第7章 数列与数学归纳法</category><category id=\"81571\" type=\"0\">一 数列</category><category id=\"81575\" type=\"0\">7.1 数列</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81818\" type=\"0\">必修第四册</category><category id=\"81820\" type=\"0\">第9章 数列</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81818\" type=\"0\">必修第四册</category><category id=\"81820\" type=\"0\">第9章 数列</category><category id=\"81827\" type=\"0\">9.1 数列的概念</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82159\" type=\"0\">高一上册</category><category id=\"82162\" type=\"0\">第三章 数列</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82159\" type=\"0\">高一上册</category><category id=\"82162\" type=\"0\">第三章 数列</category><category id=\"82193\" type=\"0\">3.1 数列</category></item>","ChildNum":1,"Time":"2018-04-11T19:52:47","QuesBody":"<div>【题文】对于任一实数序列<img style=\"vertical-align:middle;\" src=\"Upload/2018-04/11/195825ca-9c7b-43a4-86f6-4b754fce6d35/paper.files/image229.png\">，定义<img style=\"vertical-align:middle;\" src=\"Upload/2018-04/11/195825ca-9c7b-43a4-86f6-4b754fce6d35/paper.files/image230.png\">为序列<img style=\"vertical-align:middle;\" src=\"Upload/2018-04/11/195825ca-9c7b-43a4-86f6-4b754fce6d35/paper.files/image231.png\">，它的第<img style=\"vertical-align:middle;\" src=\"Upload/2018-04/11/195825ca-9c7b-43a4-86f6-4b754fce6d35/paper.files/image076.png\">项是<img style=\"vertical-align:middle;\" src=\"Upload/2018-04/11/195825ca-9c7b-43a4-86f6-4b754fce6d35/paper.files/image232.png\">，假定序列<img style=\"vertical-align:middle;\" src=\"Upload/2018-04/11/195825ca-9c7b-43a4-86f6-4b754fce6d35/paper.files/image233.png\">的所有项都是<img style=\"vertical-align:middle;\" src=\"Upload/2018-04/11/195825ca-9c7b-43a4-86f6-4b754fce6d35/paper.files/image234.png\">，且<img style=\"vertical-align:middle;\" src=\"Upload/2018-04/11/195825ca-9c7b-43a4-86f6-4b754fce6d35/paper.files/image235.png\">，则<img style=\"vertical-align:middle;\" src=\"Upload/2018-04/11/195825ca-9c7b-43a4-86f6-4b754fce6d35/paper.files/image236.png\">_________．</div>","QuesAnswer":"","QuesParse":"","UseSum":672,"AvgScore":5.0,"ParseAnswerKey":"fa84dffa7bedb682ce3bfdbdeab329d8","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2018·江西新余一中高考模拟（理）","PaperSource":[{"Id":339285,"PaperTitle":"江西省八所重点中学2018年高三下学期联考数学（理科）试卷","LearnGrade":12,"PaperType":9,"Province":360000,"PaperYear":2018,"PaperLevel":61,"AddTimeOn":"2018-04-11T19:50:40","SchoolId":33786,"MatchingDegree":1},{"Id":406474,"PaperTitle":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题","LearnGrade":10,"PaperType":5,"Province":360000,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-10-10T20:39:12","SchoolId":35222,"MatchingDegree":0}]},{"ID":6038347,"Guid":"a3df92aa-f45f-4ba2-87b2-0196cda4bdd1","Title":"四川省南充市2017-2018学年高一上学期期末考试数学试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":3,"DifValue":0.65,"Name":"一般"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"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=\"28325\" type=\"1\">任意角的三角函数</category><category id=\"28356\" type=\"1\">任意角的三角函数的定义</category><category id=\"28362\" type=\"1\">由终边或终边上的点求三角函数值</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27928\" type=\"1\">三角函数与解三角形</category><category id=\"28321\" type=\"1\">三角函数</category><category id=\"28327\" type=\"1\">三角函数的诱导公式</category><category id=\"28387\" type=\"1\">诱导公式的综合应用</category><category id=\"28389\" type=\"1\">三角函数的化简、求值——诱导公式</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79370\" type=\"0\">必修4</category><category id=\"79371\" type=\"0\">第一章 三角函数</category><category id=\"79378\" type=\"0\">§4 正弦函数和余弦函数的定义与诱导公式</category><category id=\"79385\" type=\"0\">4.1 单位圆与任意角的正弦函数、余弦函数的定义</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=\"79378\" type=\"0\">§4 正弦函数和余弦函数的定义与诱导公式</category><category id=\"79388\" type=\"0\">4.4 单位圆的对称性与诱导公式</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=\"80035\" type=\"0\">1.3 三角函数的诱导公式</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=\"80630\" type=\"0\">1.2 任意角的三角函数</category><category id=\"80638\" type=\"0\">1.2.4 诱导公式</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=\"81109\" type=\"0\">1.2 任意角的三角函数</category><category id=\"81116\" type=\"0\">1.2.3 三角函数的诱导公式</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81524\" type=\"0\">高中一年级第二学期</category><category id=\"81526\" type=\"0\">第5章 三角比</category><category id=\"81542\" type=\"0\">二 三角恒等式</category><category id=\"81547\" type=\"0\">5.3 同角三角比的关系和诱导公式</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=\"81762\" type=\"0\">3.2 任意角的三角函数</category><category id=\"81770\" type=\"0\">3.2.3 诱导公式</category></item>","ChildNum":1,"Time":"2018-02-11T16:58:52","QuesBody":"<div>【题文】已知角<img style=\"vertical-align:middle;\" src=\"Upload/2018-02/11/0331ce91-2a87-4d7a-8cb6-0428be57a50d/paper.files/image165.png\">的终边经过点<img style=\"vertical-align:middle;\" src=\"Upload/2018-02/11/0331ce91-2a87-4d7a-8cb6-0428be57a50d/paper.files/image166.png\">.<br>（1）求<img style=\"vertical-align:middle;\" src=\"Upload/2018-02/11/0331ce91-2a87-4d7a-8cb6-0428be57a50d/paper.files/image167.png\">的值；<br>（2）求<img style=\"vertical-align:middle;\" src=\"Upload/2018-02/11/0331ce91-2a87-4d7a-8cb6-0428be57a50d/paper.files/image168.png\">的值.</div>","QuesAnswer":"","QuesParse":"","UseSum":790,"AvgScore":5.0,"ParseAnswerKey":"62baad710ebffdbbf4e2a23fe44f5418","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2018·四川高一期末","PaperSource":[{"Id":315886,"PaperTitle":"四川省南充市2017-2018学年高一上学期期末考试数学试题","LearnGrade":10,"PaperType":5,"Province":510000,"PaperYear":2018,"PaperLevel":61,"AddTimeOn":"2018-02-11T16:57:10","SchoolId":0,"MatchingDegree":1},{"Id":406474,"PaperTitle":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题","LearnGrade":10,"PaperType":5,"Province":360000,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-10-10T20:39:12","SchoolId":35222,"MatchingDegree":0}]},{"ID":6981097,"Guid":"caced35f-a0e5-430f-9b19-eab753be2c27","Title":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":3,"DifValue":0.65,"Name":"一般"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27930\" type=\"1\">数列</category><category id=\"28643\" type=\"1\">等差数列</category><category id=\"28666\" type=\"1\">等差数列及其通项公式</category><category id=\"28676\" type=\"1\">利用定义求等差数列通项公式</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=\"28644\" type=\"1\">等比数列</category><category id=\"28705\" type=\"1\">an与Sn的关系——等比数列</category><category id=\"28727\" type=\"1\">前n项和与通项关系</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=\"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></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=\"79431\" type=\"0\">本章复习与测试</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=\"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=\"80086\" type=\"0\">2.4 等比数列</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></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=\"80089\" type=\"0\">2.5.1 等比数列的前n项和</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></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=\"80682\" type=\"0\">本章复习与测试</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></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=\"81151\" type=\"0\">本章复习与测试</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81565\" type=\"0\">高中二年级第一学期</category><category id=\"81566\" type=\"0\">第7章 数列与数学归纳法</category><category id=\"81571\" type=\"0\">一 数列</category><category id=\"81577\" type=\"0\">7.3 等比数列</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81139\" type=\"0\">必修5</category><category id=\"81141\" type=\"0\">第2章 数列</category><category id=\"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=\"82158\" type=\"0\">大纲版</category><category id=\"82159\" type=\"0\">高一上册</category><category id=\"82162\" type=\"0\">第三章 数列</category><category id=\"82197\" type=\"0\">3.4 等比数列</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82159\" type=\"0\">高一上册</category><category id=\"82162\" type=\"0\">第三章 数列</category><category id=\"82198\" type=\"0\">3.5 等比数列的前n项和</category></item>","ChildNum":1,"Time":"2018-10-10T20:39:36","QuesBody":"<div>【题文】已知数列<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image089.png\">的前<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image090.png\">项和为<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image088.png\">，且<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image238.png\"> ，在数列<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image239.png\">中，<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image240.png\">，点<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image241.png\">在直线<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image242.png\">上．<br>（1）求数列<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image089.png\">，<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image239.png\">的通项公式； <br>（2）记<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image243.png\">，求<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image244.png\">.</div>","QuesAnswer":"","QuesParse":"","UseSum":1445,"AvgScore":5.0,"ParseAnswerKey":"f16ec2c79720731d62fa20d3ee26b089","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2018·江西省上饶县中学高一期末（理）","PaperSource":[{"Id":406474,"PaperTitle":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题","LearnGrade":10,"PaperType":5,"Province":360000,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-10-10T20:39:12","SchoolId":35222,"MatchingDegree":1}]},{"ID":6981098,"Guid":"b20152bb-ba3f-4cbf-90fc-c8c7abef97ad","Title":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":3,"DifValue":0.65,"Name":"一般"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27933\" type=\"1\">平面解析几何</category><category id=\"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=\"29140\" type=\"1\">直线与圆的位置关系</category><category id=\"29145\" type=\"1\">由直线与圆的位置关系求参数</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27933\" type=\"1\">平面解析几何</category><category id=\"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=\"29140\" type=\"1\">直线与圆的位置关系</category><category id=\"29147\" type=\"1\">直线与圆相交的性质——韦达定理及应用</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=\"79243\" type=\"0\">北师大版</category><category id=\"79674\" type=\"0\">选修4-1</category><category id=\"79675\" type=\"0\">第一章 直线、多边形、圆</category><category id=\"79679\" type=\"0\">§2 圆与直线</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></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=\"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=\"79988\" type=\"0\">4.2.2 圆与圆的位置关系</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=\"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=\"80581\" type=\"0\">2.3.4 圆与圆的位置关系</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81033\" type=\"0\">必修2</category><category id=\"81035\" type=\"0\">第2章 平面解析几何初步</category><category id=\"81052\" type=\"0\">2.2 圆与方程</category><category id=\"81062\" type=\"0\">2.2.2 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=\"81063\" type=\"0\">2.2.3 圆与圆的位置关系</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81792\" type=\"0\">必修第三册</category><category id=\"81794\" type=\"0\">第7章 解析几何初步</category><category id=\"81807\" type=\"0\">7.3 圆与方程</category><category id=\"81817\" type=\"0\">7.3.3 直线与圆、圆与圆的位置关系</category></item>","ChildNum":1,"Time":"2018-10-10T20:39:37","QuesBody":"<div>【题文】如图，已知圆<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image253.png\">的方程为<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image254.png\">，过点<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image255.png\">的直线<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image256.png\">与圆<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image253.png\">交于点<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image257.png\">，与<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image116.png\">轴交于点<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image110.png\">，设<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image258.png\">，求证：<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image259.png\">为定值．<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image260.png\"></div>","QuesAnswer":"","QuesParse":"","UseSum":415,"AvgScore":5.0,"ParseAnswerKey":"09f88c39f53d98b28f27e3e58f232057","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2018·江西省上饶县中学高一期末（理）","PaperSource":[{"Id":406474,"PaperTitle":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题","LearnGrade":10,"PaperType":5,"Province":360000,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-10-10T20:39:12","SchoolId":35222,"MatchingDegree":1}]},{"ID":6505115,"Guid":"692caa70-b3a1-414f-a356-7566c72e7c17","Title":"2018年全国普通高等学校招生统一考试文科数学（北京卷）","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=\"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=\"28328\" type=\"1\">三角函数的图象与性质</category><category id=\"28393\" type=\"1\">正弦函数的定义域、值域和最值</category><category id=\"28424\" type=\"1\">求含sinx型函数的值域和最值</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27928\" type=\"1\">三角函数与解三角形</category><category id=\"28321\" type=\"1\">三角函数</category><category id=\"28328\" type=\"1\">三角函数的图象与性质</category><category id=\"28410\" type=\"1\">三角函数图象的综合应用</category><category id=\"28492\" type=\"1\">三角函数图象的综合应用</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=\"79383\" type=\"0\">§9 三角函数的简单应用</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=\"79379\" type=\"0\">§5 正弦函数的图像与性质</category><category id=\"79389\" type=\"0\">5.1 正弦函数的图像</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=\"79379\" type=\"0\">§5 正弦函数的图像与性质</category><category id=\"79390\" type=\"0\">5.2 正弦函数的性质</category></item><item><category id=\"79746\" type=\"0\">北师大版（2004）</category><category id=\"79747\" type=\"0\">必修四</category><category id=\"79748\" type=\"0\">第一章 三角函数</category><category id=\"79755\" type=\"0\">1.4 正弦函数</category></item><item><category id=\"79746\" type=\"0\">北师大版（2004）</category><category id=\"79747\" type=\"0\">必修四</category><category id=\"79750\" type=\"0\">第三章 三角恒等变形</category><category id=\"79773\" type=\"0\">3.5 三角函数的简单应用</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=\"80038\" type=\"0\">1.6 三角函数模型的简单应用</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=\"80036\" type=\"0\">1.4 三角函数的图象与性质</category><category id=\"80044\" type=\"0\">1.4.1 正弦函数、余弦函数的图象</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=\"80036\" type=\"0\">1.4 三角函数的图象与性质</category><category id=\"80045\" type=\"0\">1.4.2 正弦函数、余弦函数的性质</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=\"80639\" type=\"0\">1.3.1 正弦函数的图象与性质</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=\"81120\" type=\"0\">1.3.4 三角函数的应用</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81524\" type=\"0\">高中一年级第二学期</category><category id=\"81527\" type=\"0\">第6章 三角函数</category><category id=\"81555\" type=\"0\">本章复习与测试</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81524\" type=\"0\">高中一年级第二学期</category><category id=\"81527\" type=\"0\">第6章 三角函数</category><category id=\"81553\" type=\"0\">一 三角函数的图像与性质</category><category id=\"81556\" type=\"0\">6.1 正弦函数和余弦函数的图像与性质</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81756\" type=\"0\">必修第二册</category><category id=\"81757\" type=\"0\">第3章 三角函数</category><category id=\"81763\" type=\"0\">3.3 三角函数的图象与性质</category><category id=\"81771\" type=\"0\">3.3.1 正弦函数、余弦函数的图象与性质</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82202\" type=\"0\">高一下册</category><category id=\"82203\" type=\"0\">第四章 三角函数</category><category id=\"82207\" type=\"0\">三 三角函数的图象和性质</category><category id=\"82216\" type=\"0\">4.8 正弦函数、余弦函数的图象和性质</category></item>","ChildNum":1,"Time":"2018-06-11T13:09:15","QuesBody":"<div>【题文】（2018年文北京卷）已知函数<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/19/5ee400ba-4655-43b9-b90c-5419427a9fad/paper.files/image001.png\">.<br>（Ⅰ）求<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/19/5ee400ba-4655-43b9-b90c-5419427a9fad/paper.files/image002.png\">的最小正周期；<br>（Ⅱ）若<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/19/5ee400ba-4655-43b9-b90c-5419427a9fad/paper.files/image002.png\">在区间<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/19/5ee400ba-4655-43b9-b90c-5419427a9fad/paper.files/image003.png\">上的最大值为<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/19/5ee400ba-4655-43b9-b90c-5419427a9fad/paper.files/image004.png\">，求<img style=\"vertical-align:middle;\" src=\"Upload/2018-08/19/5ee400ba-4655-43b9-b90c-5419427a9fad/paper.files/image005.png\">的最小值.</div>","QuesAnswer":"","QuesParse":"","UseSum":6459,"AvgScore":5.0,"ParseAnswerKey":"d04508f89271b54bd6564416c2a27774","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2018·北京高考真题（文）","PaperSource":[{"Id":362572,"PaperTitle":"2018年全国普通高等学校招生统一考试文科数学（北京卷）","LearnGrade":12,"PaperType":12,"Province":110000,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-06-11T13:08:41","SchoolId":0,"MatchingDegree":1},{"Id":406474,"PaperTitle":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题","LearnGrade":10,"PaperType":5,"Province":360000,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-10-10T20:39:12","SchoolId":35222,"MatchingDegree":0}]},{"ID":6829557,"Guid":"08ecf405-b01b-40b3-91c3-75640f53899d","Title":"四川省宜宾县第二中学校2018届高三高考适应性考试数学（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=\"28321\" type=\"1\">三角函数</category><category id=\"28328\" type=\"1\">三角函数的图象与性质</category><category id=\"28393\" type=\"1\">正弦函数的定义域、值域和最值</category><category id=\"28425\" type=\"1\">由正弦（型）函数的值域（最值）求参数</category></item><item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27928\" type=\"1\">三角函数与解三角形</category><category id=\"28321\" type=\"1\">三角函数</category><category id=\"28328\" type=\"1\">三角函数的图象与性质</category><category id=\"28410\" type=\"1\">三角函数图象的综合应用</category><category id=\"28492\" type=\"1\">三角函数图象的综合应用</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=\"79383\" type=\"0\">§9 三角函数的简单应用</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=\"79379\" type=\"0\">§5 正弦函数的图像与性质</category><category id=\"79389\" type=\"0\">5.1 正弦函数的图像</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=\"79379\" type=\"0\">§5 正弦函数的图像与性质</category><category id=\"79390\" type=\"0\">5.2 正弦函数的性质</category></item><item><category id=\"79746\" type=\"0\">北师大版（2004）</category><category id=\"79747\" type=\"0\">必修四</category><category id=\"79748\" type=\"0\">第一章 三角函数</category><category id=\"79755\" type=\"0\">1.4 正弦函数</category></item><item><category id=\"79746\" type=\"0\">北师大版（2004）</category><category id=\"79747\" type=\"0\">必修四</category><category id=\"79750\" type=\"0\">第三章 三角恒等变形</category><category id=\"79773\" type=\"0\">3.5 三角函数的简单应用</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=\"80038\" type=\"0\">1.6 三角函数模型的简单应用</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=\"80036\" type=\"0\">1.4 三角函数的图象与性质</category><category id=\"80044\" type=\"0\">1.4.1 正弦函数、余弦函数的图象</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=\"80036\" type=\"0\">1.4 三角函数的图象与性质</category><category id=\"80045\" type=\"0\">1.4.2 正弦函数、余弦函数的性质</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=\"80639\" type=\"0\">1.3.1 正弦函数的图象与性质</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=\"81120\" type=\"0\">1.3.4 三角函数的应用</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81524\" type=\"0\">高中一年级第二学期</category><category id=\"81527\" type=\"0\">第6章 三角函数</category><category id=\"81555\" type=\"0\">本章复习与测试</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81524\" type=\"0\">高中一年级第二学期</category><category id=\"81527\" type=\"0\">第6章 三角函数</category><category id=\"81553\" type=\"0\">一 三角函数的图像与性质</category><category id=\"81556\" type=\"0\">6.1 正弦函数和余弦函数的图像与性质</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81756\" type=\"0\">必修第二册</category><category id=\"81757\" type=\"0\">第3章 三角函数</category><category id=\"81763\" type=\"0\">3.3 三角函数的图象与性质</category><category id=\"81771\" type=\"0\">3.3.1 正弦函数、余弦函数的图象与性质</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82202\" type=\"0\">高一下册</category><category id=\"82203\" type=\"0\">第四章 三角函数</category><category id=\"82207\" type=\"0\">三 三角函数的图象和性质</category><category id=\"82216\" type=\"0\">4.8 正弦函数、余弦函数的图象和性质</category></item>","ChildNum":1,"Time":"2018-08-31T15:44:32","QuesBody":"<div>【题文】如图在<img style=\"vertical-align:middle;\" src=\"Upload/2019-04/10/89e6ba8f-c510-481e-b0cc-3e007bfbde3c/paper.files/image001.png\">中，<img style=\"vertical-align:middle;\" src=\"Upload/2019-04/10/89e6ba8f-c510-481e-b0cc-3e007bfbde3c/paper.files/image002.png\">，<img style=\"vertical-align:middle;\" src=\"Upload/2019-04/10/89e6ba8f-c510-481e-b0cc-3e007bfbde3c/paper.files/image003.png\">的平分线<img style=\"vertical-align:middle;\" src=\"Upload/2019-04/10/89e6ba8f-c510-481e-b0cc-3e007bfbde3c/paper.files/image004.png\">交<img style=\"vertical-align:middle;\" src=\"Upload/2019-04/10/89e6ba8f-c510-481e-b0cc-3e007bfbde3c/paper.files/image005.png\">于点<img style=\"vertical-align:middle;\" src=\"Upload/2019-04/10/89e6ba8f-c510-481e-b0cc-3e007bfbde3c/paper.files/image006.png\">，设<img style=\"vertical-align:middle;\" src=\"Upload/2019-04/10/89e6ba8f-c510-481e-b0cc-3e007bfbde3c/paper.files/image007.png\">，其中<img style=\"vertical-align:middle;\" src=\"Upload/2019-04/10/89e6ba8f-c510-481e-b0cc-3e007bfbde3c/paper.files/image008.png\">是直线<img style=\"vertical-align:middle;\" src=\"Upload/2019-04/10/89e6ba8f-c510-481e-b0cc-3e007bfbde3c/paper.files/image009.png\">的倾斜角．<br><img style=\"vertical-align:middle;\" src=\"Upload/2019-04/10/89e6ba8f-c510-481e-b0cc-3e007bfbde3c/paper.files/image010.png\"><br>（1）求<img style=\"vertical-align:middle;\" src=\"Upload/2019-04/10/89e6ba8f-c510-481e-b0cc-3e007bfbde3c/paper.files/image011.png\">的大小；<br>（2）若<img style=\"vertical-align:middle;\" src=\"Upload/2019-04/10/89e6ba8f-c510-481e-b0cc-3e007bfbde3c/paper.files/image012.png\">，求<img style=\"vertical-align:middle;\" src=\"Upload/2019-04/10/89e6ba8f-c510-481e-b0cc-3e007bfbde3c/paper.files/image013.png\">的最小值及取得最小值时的x的值．</div>","QuesAnswer":"","QuesParse":"","UseSum":456,"AvgScore":5.0,"ParseAnswerKey":"2f8601ef4642791092d39e8d51fed789","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2018·四川省宜宾县第二中学校高考模拟（文）","PaperSource":[{"Id":390193,"PaperTitle":"四川省宜宾县第二中学校2018届高三高考适应性考试数学（文）试题","LearnGrade":12,"PaperType":9,"Province":510000,"PaperYear":2018,"PaperLevel":62,"AddTimeOn":"2018-08-31T15:42:58","SchoolId":64498,"MatchingDegree":1},{"Id":393316,"PaperTitle":"四川省宜宾县第二中学校2018届高三高考适应性（最后一模）考试数学（理）试题","LearnGrade":12,"PaperType":9,"Province":510000,"PaperYear":2018,"PaperLevel":62,"AddTimeOn":"2018-09-08T22:37:03","SchoolId":64498,"MatchingDegree":0},{"Id":406474,"PaperTitle":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题","LearnGrade":10,"PaperType":5,"Province":360000,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-10-10T20:39:12","SchoolId":35222,"MatchingDegree":0},{"Id":494254,"PaperTitle":"西藏自治区拉萨中学2019届高三第六次月考数学（理）试题","LearnGrade":12,"PaperType":3,"Province":540000,"PaperYear":2019,"PaperLevel":51,"AddTimeOn":"2019-04-12T17:36:55","SchoolId":69316,"MatchingDegree":0}]},{"ID":6981099,"Guid":"07cf6659-3dbf-41e1-b131-2c9af5526449","Title":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题","From":"","Knowledge":"","QuesType":{"ID":2703,"Name":"解答题","IsSelectType":false,"OrderIndex":4,"ParentId":0},"QuesAbility":{"ID":1,"Name":"了解和识记"},"QuesDiff":{"ID":3,"DifValue":0.65,"Name":"一般"},"Categories":"<item><category id=\"27925\" type=\"1\">高中数学综合库</category><category id=\"27930\" type=\"1\">数列</category><category id=\"28643\" type=\"1\">等差数列</category><category id=\"28666\" type=\"1\">等差数列及其通项公式</category><category id=\"28679\" type=\"1\">由递推关系证明数列是等差数列</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=\"28643\" type=\"1\">等差数列</category><category id=\"28670\" type=\"1\">等差数列的前n项和</category><category id=\"28686\" type=\"1\">求等差数列前n项和</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=\"79428\" type=\"0\">§2 等差数列</category></item><item><category id=\"79243\" type=\"0\">北师大版</category><category id=\"79422\" type=\"0\">必修5</category><category id=\"79423\" type=\"0\">第一章 数列</category><category id=\"79428\" type=\"0\">§2 等差数列</category><category id=\"79435\" type=\"0\">2.2 等差数列的前n项和</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=\"80084\" type=\"0\">2.2 等差数列</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=\"80085\" type=\"0\">2.3 等差数列的前n项和</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=\"80680\" type=\"0\">2.2 等差数列</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=\"80680\" type=\"0\">2.2 等差数列</category><category id=\"80685\" type=\"0\">2.2.1 等差数列</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=\"80680\" type=\"0\">2.2 等差数列</category><category id=\"80686\" type=\"0\">2.2.2 等差数列的前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=\"81149\" type=\"0\">2.2 等差数列</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81139\" type=\"0\">必修5</category><category id=\"81141\" type=\"0\">第2章 数列</category><category id=\"81149\" type=\"0\">2.2 等差数列</category><category id=\"81154\" type=\"0\">2.2.3 等差数列的前n项和</category></item><item><category id=\"81004\" type=\"0\">苏教版</category><category id=\"81565\" type=\"0\">高中二年级第一学期</category><category id=\"81566\" type=\"0\">第7章 数列与数学归纳法</category><category id=\"81571\" type=\"0\">一 数列</category><category id=\"81576\" type=\"0\">7.2 等差数列</category></item><item><category id=\"81720\" type=\"0\">湘教版</category><category id=\"81818\" type=\"0\">必修第四册</category><category id=\"81820\" type=\"0\">第9章 数列</category><category id=\"81828\" type=\"0\">9.2 等差数列</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82159\" type=\"0\">高一上册</category><category id=\"82162\" type=\"0\">第三章 数列</category><category id=\"82194\" type=\"0\">3.2 等差数列</category></item><item><category id=\"82158\" type=\"0\">大纲版</category><category id=\"82159\" type=\"0\">高一上册</category><category id=\"82162\" type=\"0\">第三章 数列</category><category id=\"82195\" type=\"0\">3.3 等差数列的前n项和</category></item>","ChildNum":1,"Time":"2018-10-10T20:39:37","QuesBody":"<div>【题文】已知数列<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image089.png\">满足<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image320.png\">，数列<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image089.png\">的前<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image090.png\">项和为<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image088.png\">．<br>（1）求<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image321.png\">的值；<br>（2）若<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image322.png\">．<br>①求证：数列<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image323.png\">为等差数列；<br>②求满足<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image324.png\">的所有数对<img style=\"vertical-align:middle;\" src=\"Upload/2018-10/10/e3dea56d-cc22-4102-9fe5-71bb4dda8d8b/paper.files/image325.png\">．</div>","QuesAnswer":"","QuesParse":"","UseSum":262,"AvgScore":5.0,"ParseAnswerKey":"f9fd765239c77850893c6e430051cca7","QuesAttribute":0,"QuesAttributes":{"ID":0,"Name":""},"TitleAbbreviation":"2018·江西省上饶县中学高一期末（理）","PaperSource":[{"Id":406474,"PaperTitle":"江西省上饶市上饶县中学2017-2018学年高一下学期期末考试数学（理）试题","LearnGrade":10,"PaperType":5,"Province":360000,"PaperYear":2018,"PaperLevel":41,"AddTimeOn":"2018-10-10T20:39:12","SchoolId":35222,"MatchingDegree":1}]}],"bankId":0,"PaperQuesCount":21,"ReadSum":511,"schoolId":0}
的图象向右平移
个单位长度，所得图象对应的函数
上单调递增
上单调递减
上单调递增
上单调递减
平方米
平方米
平方米
平方米
为等差数列
的前
项和，若
，
，则
，
满足：
，
，
，则
（ ）
且
．求
_________.