名校
解题方法
1 . 在
中,角A,B,C所对的边分别是a,b,c,已知
;
(1)求角B的大小及
的取值范围;
(2)设D是
上一点,且
,求
的最大值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0130e16b6096743e2e7b5c3fe2f3830b.png)
(1)求角B的大小及
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de720514ca8be3c35b5948b0800f344.png)
(2)设D是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faded958b35ef0fcb0db0f45928ecb4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d4231aebdebd43211cdeb5cf0db6f4b.png)
您最近一年使用:0次
2022-03-29更新
|
2587次组卷
|
7卷引用:江苏省无锡市锡山高级中学2020-2021学年高一下学期期中数学试题
2 . 在直角平面坐标系
中,
分别是双曲线
的左、右焦点,过点
作圆
的切线,与双曲线左、右两支分别交于点
,若
,则
的值是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c55e75c971431ecfc697d40ea7440052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cbd5f95f51192d6417dd28e76fe8430.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
解题方法
3 . 已知
、
分别为双曲线
的左、右焦点,若点
到该双曲线的渐近线的距离为2,点
在双曲线上,且
,则三角形
的面积为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d124b231bf2cd3746f35e6c68cd7178f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf8a7029669bf1774a24f3ef6273ca88.png)
您最近一年使用:0次
2022-02-08更新
|
960次组卷
|
3卷引用:辽宁省辽南协作校2021-2022学年高二上学期期中考试数学试题
名校
解题方法
4 . 为响应国家“乡村振兴”号召,农民老王拟将自家一块直角三角形地按如图规划成3个功能区:
区域为荔枝林和放养走地鸡,
区域规划为“民宿”供游客住宿及餐饮,
区域规划为小型鱼塘养鱼供休闲垂钓.为安全起见,在鱼塘
周围筑起护栏.已知
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2021/12/3/2864592826236928/2871765848678400/STEM/934ff3605b104abc86480cbaa84454b6.png?resizew=184)
(1)若
,求护栏的长度(
的周长);
(2)若鱼塘
的面积是“民宿”
的面积的
倍,求
;
(3)当
为何值时,鱼塘
的面积最小,最小面积是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cee975a18902203254aa21d541c671f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f30bb9fbf908f410572cd8e1aea0b21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e856c15c61d7cb6ebd8daef542a4e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e856c15c61d7cb6ebd8daef542a4e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/484539f82531c474c7b59925c3c188b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22df79bb3b4df1faf66c311ab80cafdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05effe5f6df55d0204ce1d5b070275a1.png)
![](https://img.xkw.com/dksih/QBM/2021/12/3/2864592826236928/2871765848678400/STEM/934ff3605b104abc86480cbaa84454b6.png?resizew=184)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9752e1be78f9bbdb624c03f6a850ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e856c15c61d7cb6ebd8daef542a4e7f.png)
(2)若鱼塘
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e856c15c61d7cb6ebd8daef542a4e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f30bb9fbf908f410572cd8e1aea0b21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e520cef3cebf757a24737ffb661834.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e520cef3cebf757a24737ffb661834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e856c15c61d7cb6ebd8daef542a4e7f.png)
您最近一年使用:0次
2021-12-13更新
|
1597次组卷
|
5卷引用:云南省玉溪第一中学2021-2022学年高二上学期期中考试数学(文)试题
名校
解题方法
5 . 为响应国家“乡村振兴”号召,农民老王拟将自家一块直角三角形地按如图规划成3个功能区:
区域为荔枝林和放养鸡地,
区域规划为“民宿”供游客住宿及餐饮,
区域规划为小型鱼塘养鱼供休闲垂钓.为安全起见,在鱼塘
周围筑起护栏.已知
m,
m,
,
﹒
![](https://img.xkw.com/dksih/QBM/2021/12/3/2864592864468992/2871145337937920/STEM/e7f4729cdb704b9bab17ff84d596753b.png?resizew=204)
(1)若
m,求护栏的长度(
的周长);
(2)若鱼塘
的面积是“民宿”
的面积的
倍,求AM的长;
(3)鱼塘
的面积是否有最小值?若有,请求出其最小值;若没有,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6b3677491528dfd3366e9c20f9516e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/487a0211f88694a94555630c62538a19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc5f84a8290ab5964c1578d0c3df186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc5f84a8290ab5964c1578d0c3df186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe9cd4d26b36232d4063a583691ef13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4813b39858cda0fb82c954f88969a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0653ca05309f7e7529e1f16a68d17fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/607a009b69c374237883632a2a76d3b8.png)
![](https://img.xkw.com/dksih/QBM/2021/12/3/2864592864468992/2871145337937920/STEM/e7f4729cdb704b9bab17ff84d596753b.png?resizew=204)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a650972edfbb7cdfe57a9369c0fb05e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc5f84a8290ab5964c1578d0c3df186.png)
(2)若鱼塘
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc5f84a8290ab5964c1578d0c3df186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/487a0211f88694a94555630c62538a19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c3f8c3ba00c59e0634ed10fa85289de.png)
(3)鱼塘
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc5f84a8290ab5964c1578d0c3df186.png)
您最近一年使用:0次
2021-12-12更新
|
857次组卷
|
2卷引用:云南省玉溪第一中学2021-2022学年高二上学期期中考试数学(理)试题
名校
解题方法
6 . 已知正六棱柱
所有棱的棱长均为1,
面
,则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/2021/11/13/2850304005734400/2869334766993408/STEM/4a0b5315e4714a32ad8a59ba9a5171b3.png?resizew=261)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858be9a2f30a22cfdebeaa5bf2e45b4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c62f104ac1221dd48dbe0467495ba70b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e43f82184bef37e57b13c770e4cabc17.png)
![](https://img.xkw.com/dksih/QBM/2021/11/13/2850304005734400/2869334766993408/STEM/4a0b5315e4714a32ad8a59ba9a5171b3.png?resizew=261)
A.![]() | B.直线![]() ![]() ![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
名校
解题方法
7 . 已知椭圆
的左右顶点分别为A,B,左右焦点为
,
,P为椭圆上一点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
A.当P点异于点A,B时,直线PA,PB的斜率积为定值![]() |
B.当直线![]() ![]() ![]() ![]() ![]() |
C.当点P是椭圆上顶点时![]() |
D.当点P是椭圆上顶点时![]() |
您最近一年使用:0次
名校
解题方法
8 . 在
中,已知D是BC上的点,AD平分
,且
.
(1)若
,求
的面积;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fbb16ce756f0f1018a78342617f3bb9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb325dead45eecd5a51a387ecbab87ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d48e9c80b162296ca51e221f05fc4cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
2021-12-10更新
|
2190次组卷
|
5卷引用:江苏省南通市2021-2022学年高三上学期期中数学试题
江苏省南通市2021-2022学年高三上学期期中数学试题(已下线)押全国卷(理科)第17题 解三角形与数列-备战2022年高考数学(理)临考题号押题(全国卷)江苏省盐城市滨海中学2022届高三下学期三模数学试题1.2向量的加法运算江苏省苏州市张家港市沙洲中学2022-2023学年高一下学期3月月考数学试卷
解题方法
9 . 在△ABC中,角A,B,C的对边分别为a,b,c,已知
,
.
(1)求证:存在
,使得
;
(2)求
面积S的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff0e2b7a010fe868b8806a711624b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/947041eff95cc7195fc8a94190155e70.png)
(1)求证:存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
解题方法
10 . 在△ABC中,角A,B,C所对的边分别为a,b,c.且满足(a+2b)cosC+ccosA=0.
(1)求角C的大小;
(2)设AB边上的角平分线CD长为2,求△ABC的面积的最小值.
(1)求角C的大小;
(2)设AB边上的角平分线CD长为2,求△ABC的面积的最小值.
您最近一年使用:0次