1 .
中,
,
,
,则
的面积=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284a563413dc0532138fb2a64db8cc2b.png)
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名校
2 . 已知
的内角A,B,C所对的边分别为a,b,c,且
,则
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e763348ce457e931648f62ee070405a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-06-16更新
|
320次组卷
|
3卷引用:湖南省岳阳市汨罗市第一中学2023-2024学年高一下学期5月月考数学试题
名校
解题方法
3 . 《数书九章》是中国南宋时期杰出数学家秦九韶的著作,全书十八卷共八十一个问题,分为九类,每类九个问题,《数书九章》中记录了秦九韶的许多创造性成就,其中在卷五“三斜求积”中提出了已知三角形三边a,b,c求面积的公式,这与古希腊的海伦公式完全等价,其求法是:“以小斜幂并大斜幂减中斜幂,余半之,自乘于上,以小斜幂乘大斜幂减上,余四约之,为实,一为从隅,开平方得积."若把以上这段文字写成公式,即
.现有
满足
,且
的面积
.给出下列四个结论:①
周长为
;②
三个内角A,C,B满足关系
;③
外接圆半径为
;④
中线CD的长为
,其中,所有正确结论的序号是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96bd5fefb9a7c618d1ef8d73b3c43cd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8364e0de3c661873fe72fb9d5c073e.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e72b4868bdd8d15dff2211cc49cd31b.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e916683e0555c8fb27087d015e833ac3.png)
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2024-04-07更新
|
191次组卷
|
2卷引用:湖南省常德市汉寿县第一中学2023-2024学年高一下学期3月月考数学试题
名校
4 . 以密位作为角的度量单位,这种度量角的单位制,叫作角的密位制.在角的密位制中,采用四个数码表示角的大小,单位名称密位二字可以省去不写.密位的写法是在百位数与十位数之间画一条短线,如5密位写成“
”,235密位写成“
”,1246密位写成“
”.1周角等于6000密位,写成“
”.在
中,点
在边
上,
是
的内角
的角平分线,
,则
用密位制表示为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e7846c207235621b3a5c4c0f59fe3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7182526c544e34b50a5f620bfd61fea9.png)
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2024-04-03更新
|
142次组卷
|
2卷引用:湖南省衡阳县三校联考2023-2024学年高一下学期3月月考数学试题
解题方法
5 . 在
中,角
所对的边分别为
,若
分别在边
和
上,且
把
的面积分成相等的两部分,则
的最小值为__________ .
![](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/38f672ab62ffefe25af874d7c37d475b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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2024-03-03更新
|
939次组卷
|
3卷引用:湖南师范大学附属中学(思沁校区)2023-2024学年高三下学期3月月考数学试题
湖南师范大学附属中学(思沁校区)2023-2024学年高三下学期3月月考数学试题江苏省南通市如皋市、连云港市2024届高三下学期阶段性调研测试(1.5模)数学试题(已下线)第11题 定高倍角三角形面积取值问题(压轴小题)
名校
6 . 在
中,其内角
,
,
所对的边分别为
,
,
,若
,
,
,则
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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2024-02-29更新
|
4457次组卷
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8卷引用:湖南省邵阳市邵东市第一中学2023-2024学年高二下学期3月月考数学试题
名校
7 . 已知直线
与圆
交于
两点,则满足“
的面积为
”的
的一个值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b979396a703fb14715ba39232f5786a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e96ed5118a6806076644156f06446d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
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解题方法
8 . 在
中,
,
,
,则
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f86c589939053ce21ce0a67cf40054a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f656e1d1f68954e5f06de8958f6a9310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-01-13更新
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929次组卷
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4卷引用:湖南省2024届高三“一起考”大联考下学期模拟考试数学试题(四)
湖南省2024届高三“一起考”大联考下学期模拟考试数学试题(四)2024届陕西省渭南市高三一模数学(理)试题(已下线)第06讲 解三角形-《知识解读·题型专练》(人教A版2019必修第二册)(已下线)热点3-3 正弦定理与余弦定理(8题型+满分技巧+限时检测)
名校
解题方法
9 . 已知
的内角
,
,
的对边为
,
,
,
的面积为
,且
,
,则
的周长为______ .
![](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)
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![](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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2023-11-27更新
|
442次组卷
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4卷引用:湖南省涟源市第二中学2023-2024学年高三上学期11月月考数学试题
湖南省涟源市第二中学2023-2024学年高三上学期11月月考数学试题广东省肇庆市四会中学、广信中学2023-2024学年高一下学期第一次教学质量检测数学试题(已下线)专题11.2正弦定理-重难点突破及混淆易错规避(苏教版2019必修第二册)(已下线)第九章:解三角形章末重点题型复习--同步精品课堂(人教B版2019必修第四册)
名校
解题方法
10 . 如图,由3个全等的钝角三角形与中间一个小等边三角形DEF拼成的一个较大的等边三角形
,若
,
,则
的面积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae341f580ff8fbf21f616fe900b0e4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbc32f2d62eb8e5aa640552c7aa2bda.png)
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2023-11-07更新
|
931次组卷
|
3卷引用:湖南省长沙市湖南师大附中2024届高三上学期月考(四)数学试题