2023高三·全国·专题练习
解题方法
1 . 记△ABC的内角A,B,C的对边分别为a,b,c,已知
.若
,
,E为AC上一点,且
,则
的面积为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86218de1d85b8f485bbbfc5e7f8de8d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a36ec31cfd615abfbee3ed2f4a1d8883.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
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21-22高三上·全国·阶段练习
2 . 在
中,内角
,
,
的对边分别是
,
,
,
,
,若
,则
的面积为___________ .
![](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)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2021-11-12更新
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2673次组卷
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9卷引用:专题10 解三角形经典必刷小题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)
(已下线)专题10 解三角形经典必刷小题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)(已下线)大招12 射影定理(已下线)专题02:转换法解三角形(四大类型)(已下线)专题10 余弦定理 正弦定理-《重难点题型·高分突破》(苏教版2019必修第二册)(已下线)专题08 余弦定理 正弦定理(1)-《重难点题型·高分突破》(人教A版2019必修第二册)(已下线)“超级全能生”2021-2022学年高三全国卷地区9月联考(甲卷) 数学(理) 试题高考全国卷地区2021-2022学年高三上学期9月联考(乙卷)数学(理科)试题(已下线)数学-2022届高三下学期开学摸底考试卷A(文科)(新课标专用)(已下线)专题02 平面向量的应用-《期末真题分类汇编》(人教A版2019必修第二册)
名校
3 . 已知
中角
,
,
所对的边为
,
,
,
,
,点
在
上,
,记
的面积为
,
的面积为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
______ .
![](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)
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7卷引用:专题05 解三角形-备战2022年高考数学(文)母题题源解密(全国乙卷)
(已下线)专题05 解三角形-备战2022年高考数学(文)母题题源解密(全国乙卷)江西省抚州市临川第一中学2021届高三5月模拟考试数学(文)试题(已下线)“超级全能生”2021届高三全国卷地区4月联考试题(甲卷)数学(理)试题(已下线)“超级全能生”2021届高三全国卷地区4月联考试题(乙卷)数学(理)试题陕西省2021届高三下学期教学质量检测(四)理科数学试题(已下线)专题6.15 平面向量及其应用全章综合测试卷(提高篇)-2022-2023学年高一数学举一反三系列(人教A版2019必修第二册)重庆市荣昌中学校2022-2023学年高二上学期第一次月考数学试题
解题方法
4 . 已知
,
,
分别为
三个内角
,
,
的对边,角
,
,
成等差数列,且
,若
,
分别为边
,
的中点,且
为
的重心,则
面积的最大值为______ .
![](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/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/5963abe8f421bd99a2aaa94831a951e9.png)
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5卷引用: 专题20三角形中的不等和最值问题 (练)- 2021年高三数学二轮复习讲练测(文理通用)
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5 . 割圆术的核心思想是将一个圆的内接正n边形等分成n个等腰三角形,如图所示,当n变得很大时,这n个等腰三角形的面积之和近似等于圆的面积,则运用割圆术的思想得到
的近似值是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc1df3bc5c62e8fb0e37a87bed061ac7.png)
![](https://img.xkw.com/dksih/QBM/2021/2/9/2654261876891648/2659153516380160/STEM/18c551da5b0c47e1b0e16015aabe3810.png?resizew=144)
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名校
解题方法
6 . △ABC的内角A,B,C的对边分别为a,b,c,若△ABC的面积为
,则A=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06b5637423ee2bd3992276fa0e284bad.png)
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2020-09-09更新
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264次组卷
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6卷引用:第二篇解三角形03-2020年高考数学选填题专项测试(文理通用)
(已下线)第二篇解三角形03-2020年高考数学选填题专项测试(文理通用)2020届辽宁省丹东市高三上学期期末教学质量监测数学(理)试题2020届辽宁省丹东市高三上学期期末教学质量监测数学(文)试题(已下线)第1章+解三角形(能力提升)-2020-2021学年高二数学单元测试定心卷(苏教版必修5)正余弦定理的综合问题福建省莆田第六中学2024届高三上学期10月月考数学试题(A卷)
7 . 在△ABC中,a,b,c分别是角A,B,C的对边,若b=1,
,则S△ABC=_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27da76d4fef443cc852f855c205d5f53.png)
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名校
8 . 在
中,
,
.
边上的中线
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cf283add4a820c74ccc91a5b09c94b7.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
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2020高三·全国·专题练习
解题方法
9 . 在
中,角
,
,
的对边分别为
,
,
,已知
,若
的面积为
,则
的最小值为______________ .
![](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)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2020高三·全国·专题练习
10 . 在
中,角
,
,
的对边分别为
,
,
,若
,
,则
的面积为______________ .
![](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)
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