解题方法
1 . 已知
,若方程
的根
和
满足
.
(1)在平面直角坐标系
中,画出点
所表示的区域,并说明理由;
(2)令
,求
的最大值与最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a2b59e7080503a1f7e9d99e7db8fd5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74457dc76d16897775a5021da7e3a3a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9733d0dc09a6c9f7db3543ddb3f007b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/25/7b30e585-d1aa-4ea6-894c-834eb8cf45c7.png?resizew=168)
(1)在平面直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb6f70c26a40ac89ae3095b03dd2ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63313f7ac7402fcb5a9a840db64c6f08.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8f9a46150968652a080d12b316f543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad481cbfb67ac9cdbc0537f3de23b022.png)
您最近一年使用:0次
2 . 已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00f91e7fd3d358600eca9137fae54149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/569087ece1739f75121b549c7de10058.png)
您最近一年使用:0次
9-10高一下·吉林长春·期末
名校
解题方法
3 . 在
中,a、b、c是角A、B、C所对的边,S是该三角形的面积,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1ba07e7a73d022b99743224c61a745.png)
(1)求B的大小;
(2)若
,
,求b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1ba07e7a73d022b99743224c61a745.png)
(1)求B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a73002a647453b874d45f228f3ab37.png)
您最近一年使用:0次
2024-03-24更新
|
1070次组卷
|
15卷引用:2010年长春二中高一下学期期末考试(理科)数学卷
(已下线)2010年长春二中高一下学期期末考试(理科)数学卷(已下线)2010年长春二中高一下学期期末考试(文科)数学卷(已下线)2010-2011学年梅州市曾宪梓中学高一第二学期期末考试数学河南省新乡七中2018-2019学年高二上学期第一次月考数学试卷高中数学必修5综合测试题吉林省长春市第二实验中学2020-2021学年高二第一学期开学考试数学试题陕西省咸阳市实验中学2020-2021学年高二上学期第二次月考数学(理)试题(已下线)2010年吉林一中高一下学期期末考试数学卷(已下线)2012-2013年江苏连云港灌南高级中学高二上期中考试理数学试卷(已下线)2012-2013学年浙江省衢州一中高一下学期期中检测文科数学试卷广东省汕头市达濠华侨中学2017--2018学年高二第一学期第一次阶段考试数学(文)试题新疆新源县第二中学2019-2020学年高一下学期期末考试数学试题浙江省杭州学军中学2021-2022学年高二下学期数学竞赛试题福建省四地六校2014-2015学年高一下学期第一次联考数学试卷(解析版)广东省深圳市龙华区深圳市致理中学2023-2024学年高一下学期3月月考数学试题
4 . 如图,在边长为a的正
中,边BC、CA、AB上的点P、Q、R在满足条件
的条件下移动,设
,
,
,
的面积为S.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/24/d95ab9aa-5112-4190-a0e1-08799c367e7e.png?resizew=137)
(1)试用x、y、z表示S;
(2)求S的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b4461f9669da6467bdc36154fa4734.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a666403569e607f32af5f762c246dc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0319a8d5c884572329d120e5cd48a513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb82eeabefdab84e888442933435fdab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c28abb154f41e1ca9816c9c9c2433ca.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/24/d95ab9aa-5112-4190-a0e1-08799c367e7e.png?resizew=137)
(1)试用x、y、z表示S;
(2)求S的最大值.
您最近一年使用:0次
5 . 设抛物线
,F为C的焦点,过F的直线l与C交于A,B两点.
(1)若l的斜率为2,求
的值;
(2)求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
(1)若l的斜率为2,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b0ba14e41e306e5633ad4bf1cdedd8.png)
您最近一年使用:0次
2024-03-24更新
|
1053次组卷
|
7卷引用:西藏自治区拉孜县中学2021届高三上学期第二次月考文科数学试题
西藏自治区拉孜县中学2021届高三上学期第二次月考文科数学试题西藏日喀则市拉孜县中学2021届高三上学期第二次月考数学(理)试题河南省开封市杞县高中2021-2022学年高二上学期第四次月考数学(文)试题(已下线)专题29 圆锥曲线求定值七种类型大题100题-【千题百练】2022年新高考数学高频考点+题型专项千题百练(新高考适用)安徽省六安市毛坦厂中学集团校2023-2024学年高二上学期期末考试数学试题四川省巴中市平昌县第二中学2023-2024学年高二下学期第一次月考数学试题广东省揭阳市惠来县第一中学2023-2024学年高二下学期6月月考数学试题
6 . 对平面直角坐标系
,保持
轴不变,将
轴绕原点顺时针旋转
后形成的新坐标系
称为
斜坐标系.原平面内任意一点
,经过上述变化后在
斜坐标系的对应点为
.对于如图所示的
,设点
在
斜坐标系中的对应点分别为点
.已知线段
上存在一点
,分
所成的比为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/24/4c7edd10-77ac-4396-9d2b-570a96148545.png?resizew=169)
(1)求
的面积;
(2)已知
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8bc439c8dd910f1ce5aac8cdcad942b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ee82573986d4fa6a7ee1b5f397edae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98226d9d5a14f9572a862e62b5c6aee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c5b9d864b406b04cdbaf4e8972e4eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb0628cecbfc98d390e5447d52414e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecb94640ab11447c26a9c4f272ba192d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/24/4c7edd10-77ac-4396-9d2b-570a96148545.png?resizew=169)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ee6e1d480ece7117e1f87ebf4bbeea.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9fcf44e5f105d71562ad54cc6a4b83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975fc183ba81c67cba79a2b2567907ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
7 . 已知
的三边长
,三内角为
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b102b36cba4c1868afcd7a591a796da.png)
您最近一年使用:0次
8 . 已知集合
,设
是等差数列
的前
项和,若
的任意一项
,且首项
是
中的最大值,
.
(1)求数列
的通项公式;
(2)若数列
满足
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a101d7fe85109e613e4fdff218e32f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6302fc3e3d1fac960e84950c0e814a19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b18378ba893f1ce0814c9582699ae29.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/166e346727bcaf56431b36ef42594af6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b511d10eb2d2d913d7282778206db331.png)
您最近一年使用:0次
9 . 在锐角
中,角
所对的边分别为
,且
.
(1)求证:
;
(2)若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73871b5eba746c60026c5cce7482d66f.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8636e448103248ddd367d084be0ef715.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c03b5fd68e38254b1e0a9bcd5401c38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
您最近一年使用:0次
10 . 已知函数
的定义域为集合
,又集合
,且
.
(1)试确定
的值;
(2)求参数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ac58cf59b80bad283dc6d0d85687cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff12efce81fd56437c6a436159367cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ca7953d23f8fd017b4afd51b13b1195.png)
(1)试确定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)求参数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次