2024高二·全国·专题练习
名校
解题方法
1 . 如图,
是等边三角形,
是
边上的动点(含端点),记
,
.
(1)求
的最大值;
(2)若
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b6492fc7ac544c5cb196b3bee457d78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/226b1dc6b85b6b76c99420be4f82e1d3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/15/adcd5c0e-fce4-457b-bb70-be053345eaee.png?resizew=152)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dbb8946dd3f6ef3e816da7fdca83993.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35b2ac64b0463f3fcbb725ea7f59e45c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833243568eaaf9053e68dee1e9289770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb961bd7db3adb76af2d4cedb611bd7.png)
您最近一年使用:0次
名校
解题方法
2 . 如图,在
中,点D在边BC上,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/9/c2bee236-5410-4fbe-b480-c471936550b9.png?resizew=162)
(1)若
,
,
,求AB;
(2)若
是锐角三角形,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8cabcef1cee1213140371c499339864.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/9/c2bee236-5410-4fbe-b480-c471936550b9.png?resizew=162)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30befab772a51c5727293a5cd056879e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4494a85de0be0b97a69348115aef8513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe7a93172d308a58200e3c722fe1072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d34198d24fd3ee8dfc0f81a5479b6d.png)
您最近一年使用:0次
2024-03-29更新
|
1335次组卷
|
3卷引用:专题1.11解三角形常考大题归类-重难点突破及混淆易错规避(人教A版2019必修第二册)
(已下线)专题1.11解三角形常考大题归类-重难点突破及混淆易错规避(人教A版2019必修第二册)青海西宁市湟川中学2023-2024学年高三下学期开学考试理科数学试题河南省郑州市宇华实验学校2023-2024学年高二下学期3月月考数学试题
名校
解题方法
3 . 在
中,内角
,
,
的对边分别为
,
,
.已知
.
(1)求
;
(2)若
,且
边上的高为
,求
的周长.
![](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/58cbb92bcf5ca2d8bcda600565436ea8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b246aa3b56becc905d3fb64c6d5ec4a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541b16fdc230c1bf727de73ba0aea2a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-03-22更新
|
2938次组卷
|
4卷引用:专题1.11解三角形常考大题归类-重难点突破及混淆易错规避(人教A版2019必修第二册)
(已下线)专题1.11解三角形常考大题归类-重难点突破及混淆易错规避(人教A版2019必修第二册)山东省济南第一中学等校2024届高三下学期阶段性检测(开学考试)数学试题湖南省岳阳市湘阴县知源高级中学等多校2023-2024学年高二下学期入学考试数学试题(已下线)第1套 全真模拟篇 【模块三】
名校
4 . 在
中,角A,B,C的对边分别为a,b,c.已知
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/15/867779cd-c585-4ca5-8784-c4e59e74fe75.png?resizew=158)
(1)求b的值;
(2)在边BC上取一点D,使得
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08ce80e91fdf435a8e3ec05be990e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad09921d9904335a83078262ce62a473.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958b7b27a401f6b8352ae36e6e26d01f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/15/867779cd-c585-4ca5-8784-c4e59e74fe75.png?resizew=158)
(1)求b的值;
(2)在边BC上取一点D,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41350023da8aacd62eaae8599c6009cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ac5396c5ea442e0364b50c1db3d2da.png)
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解题方法
5 . 记
的内角
的对边分别为
.已知
.
(1)当角
最大时,求其最大值并判断
的形状;
(2)若
的中线
,求
面积的最大值.
![](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/6a940daedfed91261cb2928b26c0395d.png)
(1)当角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f20d48c9814ca43a20a7a488337e93a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
解题方法
6 . 已知在
中,角
,
,
所对的边分别为
,
,
,且有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a558d910e6ba04a3a3ca1671d1792ad7.png)
(1)求
;
(2)若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.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/a558d910e6ba04a3a3ca1671d1792ad7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db2ff0cbccff14349d404c17aee38c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
7 . 在
中,内角
的对边分别是
,已知
.
(1)求
;
(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/5bd29bfbb98e245c9ff2de740b13e62a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
解题方法
8 . 在
中,内角
,
,
的对边分别为
,
,
,已知
.
(1)求
;
(2)
为边
上一点,
,
,求
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/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/c9aa2e4dd5f9563b75d3b0c72e06a1a6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)
![](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/52c21525a1baaf89df048617b3a60ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8878eae05fba3ac75d733695959af67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024高一下·全国·专题练习
9 . 在
中,已知内角
的对边分别为
,且
,解这个三角形.
![](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/bdec5c3934f6fa3681dfe7594e8400f6.png)
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10 . 在
中,
,
,延长
到点
,使得
,
,则
的长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca036d049f5205cf04cb1b9c5cd03f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52dee53b52430f53a726cda7fe9d6805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a88c44f558705de3bcefcfc0ece96b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe7f0401adb20a8b873d6997b2f6a236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2024-03-18更新
|
509次组卷
|
3卷引用:专题1.12平面向量及其应用-重难点突破及混淆易错规避(人教A版2019必修第二册)
(已下线)专题1.12平面向量及其应用-重难点突破及混淆易错规避(人教A版2019必修第二册)四川省大数据学考联盟2024届高三第一次质量检测数学(文科)试题四川省大数据学考联盟2024届高三第一次质量检测数学(理科)试题