名校
解题方法
1 . 正
的边长为1,中心为O,过O的动直线l与边AB,AC分别相交于点M,N,
,
.给出下列四个结论:
①
;
②若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f75a5bbeb0308c3428cc587c6e5b51b.png)
③
不是定值,与直线l的位置有关;
④
与
的面积之比的最小值为
.
其中所有正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5d70a0d31bf8f5cfbca5e88a23df80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b18bf5477ab809cf5b133a045b0ea8e9.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d5cce8256cbd50299a26044f05fc086.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e07c611d39260a3160ef7380df0fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f75a5bbeb0308c3428cc587c6e5b51b.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587b693b82241eb9c32cdbb96c209f33.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d86ab7c97cd8a0b15ba5efc1be94230.png)
其中所有正确结论的序号是
您最近一年使用:0次
名校
2 . 已知
中角
,
,
所对的边分别为
,
,
,设其面积为
,
.
(1)求角
;
(2)若
,点
在边
上,若
是
的平分线,且
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e13be1bfd65578924fea090e9c83729.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea02a1afd7109e6a37fcad7d18bedf33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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3卷引用:【人教A版(2019)】专题09解三角形(第三部分)-高一下学期名校期末好题汇编
名校
3 . 在
中,角
,
,
的对应边分别为a,b,c,
,
且
.
(1)求边
的长;
(2)求角
大小及
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f34365e5040ce6944115c8da61bf110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb5bac75f36bb1dc5c8190d4dbe681d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b01e6d27d3089eb927bc908eb0e97a.png)
(1)求边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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7卷引用:6.4.3 第2课时 正弦定理【第一练】“上好三节课,做好三套题“高中数学素养晋级之路
(已下线)6.4.3 第2课时 正弦定理【第一练】“上好三节课,做好三套题“高中数学素养晋级之路广东省普通高中2024届高三合格性考试模拟冲刺数学试题(四)(已下线)模块一 A基础卷 专题6 解三角形(人教B版)北京市第二十七中学2022-2023学年高一下学期期中调研数学试题江西省上饶市余干县私立蓝天中学2024届高三上学期第二次月考数学试题广东省深圳市福田中学2024届高三上学期第一次月考数学试题广东省江门市某校2023-2024学年高二上学期第一次月考数学试题
解题方法
4 . 如图,在四边形
中,
,
,
.再从条件①,条件②这两个条件中选择一个作为已知,解决下列问题.
面积
;
②
.
(1)求
的值;
(2)求
的大小.
注:如果选择条件①和条件②分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b30165a5ae2b3e8f62462ec5efb836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b0f0cdb98fe345dccfa96b3be72b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a301baf6cc0628366e6661a87a2d93ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05554fc3fab6e31eb62fd6ee60625918.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c64f7913ef901b8e936c4702d0444eee.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd01722c6f4bf06ae7d753938e5b8bc.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
注:如果选择条件①和条件②分别解答,按第一个解答计分.
您最近一年使用:0次
2023-07-09更新
|
310次组卷
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3卷引用:专题04 正余弦定理4种常考题型归类-《期末真题分类汇编》(北京专用)
(已下线)专题04 正余弦定理4种常考题型归类-《期末真题分类汇编》(北京专用)【北京专用】专题09解三角形(第二部分)-高一下学期名校期末好题汇编北京市石景山区2022-2023学年高一下学期期末考试数学试题
解题方法
5 . 在
中,
.
(1)求角
的大小;
(2)若
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d62ecc1ea948d9e2493a9f1d70589808.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b1894150a78bbbd378fbe830405fd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be4380bdcef1c542604a6ad61642c0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2023-07-09更新
|
469次组卷
|
4卷引用:专题04 正余弦定理4种常考题型归类-《期末真题分类汇编》(北京专用)
(已下线)专题04 正余弦定理4种常考题型归类-《期末真题分类汇编》(北京专用)【北京专用】专题09解三角形(第二部分)-高一下学期名校期末好题汇编北京市石景山区2022-2023学年高一下学期期末考试数学试题甘肃省定西市临洮县2023-2024学年高二上学期暑期学习质量检测数学试题
名校
解题方法
6 . 已知
的内角
,
,
的对边分别为
,
,
.
(1)若
,
,
,求
的面积;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825793ebd4bb376a09621f163ac990a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb5bac75f36bb1dc5c8190d4dbe681d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3568f51bde4e391c8f08ff3d55989aef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb99b3c9936918e3700188b05587d9c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2264c134952d41fb9bcb90e6c72c83.png)
您最近一年使用:0次
2023-07-08更新
|
289次组卷
|
4卷引用:【人教A版(2019)】专题21(一轮复习)三角函数与解三角形(第二部分)-高二下学期名校期末好题汇编
名校
解题方法
7 . 已知双曲线
:
的右焦点
到渐近线的距离为
,
为
上一点,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60cfc83cab6cd17842f28b9c37836673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() ![]() |
B.![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
D.设![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
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|
866次组卷
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9卷引用:【人教A版(2019)】专题04平面解析几何-高二下学期名校期末好题汇编
【人教A版(2019)】专题04平面解析几何-高二下学期名校期末好题汇编(已下线)第22讲 双曲线的简单几何性质9种常见考法归类(3)(已下线)考点20 常用的二级结论的应用 2024届高考数学考点总动员(已下线)专题04 双曲线15种常见考法归类(4)湖南省多校2022-2023学年高二下学期期末联考数学试题湖南省衡阳市2022-2023学年高二下学期7月期末联考数学试题河南省新乡市2022-2023学年高二下学期期末数学试题云南省曲靖市富源县2022-2023学年高二下学期期末检测数学试题湖南省湘潭钢铁集团有限公司第一子弟中学2024届高三8月开学考试数学试题
解题方法
8 . 在
中,角
的对边分别为
,已知
.
(1)求
的值;
(2)若
,求
的面积.
![](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/98123efc1197cafaba6daf9aea4409cd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53b24caf312c1cf96d895030fedc1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2023-07-08更新
|
188次组卷
|
2卷引用:【人教A版(2019)】专题21(一轮复习)三角函数与解三角形(第二部分)-高二下学期名校期末好题汇编
解题方法
9 . 从①
,②
,③
的周长为6,三个条件中选择一个 ,补充在下面的问题中,再回答后面的问题.
在锐角
中,已知
,______,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f289ef19c7418a898ea18747aa76e783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a36ec31cfd615abfbee3ed2f4a1d8883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2023-07-08更新
|
367次组卷
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2卷引用:【人教A版(2019)】专题09解三角形(第三部分)-高一下学期名校期末好题汇编
10 . 记
的内角
的对边分别为
,已知
.(参考公式:
)
;
(2)若
为
边上一点,
,求边
的长.
![](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/61c4d0560453772dbed3932732e22758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e89bb6e4db95fb4262846ee08de7d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80645bd8b69c0e676297a1d9530ef3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
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|
230次组卷
|
2卷引用:【人教A版(2019)】专题09解三角形(第三部分)-高一下学期名校期末好题汇编