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解题方法
1 . 在
中,角
的对边分别是
,且
.
(1)求角
;
(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/f3d2ad9a35995a5c3996eebc6b2eaaa8.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714cc3707bba3bfdb56e251999be8592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-04-08更新
|
1308次组卷
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3卷引用:云南省开远市第一中学校2023-2024学年高一下学期期中考试数学试题
云南省开远市第一中学校2023-2024学年高一下学期期中考试数学试题云南师范大学附属中学2023-2024学年高一下学期月考(五)数学试题(已下线)专题06 解三角形综合大题归类(2) -期末考点大串讲(苏教版(2019))
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2 . 向量是解决数学问题的有力工具,我们可以利用向量探究
的面积问题:
(1)已知
,
,
,求
的面积;
(2)已知不共线的两个向量
,
,探究
的面积表达式;
(3)已知
,若抛物线
上两点
、
满足
,求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a64bcb77f5f64e4af6930c249a270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7909bc038d1a070e21138c5f0ff0ae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf9a210c811fa6101589d877c704a1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)已知不共线的两个向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1018d072c74bd0f5f013002751e16668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89fda0241d8ec426980f1d0d952e7eef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b62194097ac66a5093c57fca2f5b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92738aadeac1e3d3d8e919772bce727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e993afc194aa2e5d6aaa63e9e2aaa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
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2023-05-11更新
|
289次组卷
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2卷引用:云南省玉溪第一中学2022-2023学年高一下学期期中考试数学试题
3 . 在
中,角A,B,C所对的边分别是a,b,c,已知
.
(1)求角A的大小;
(2)在下列三个条件中任选一个,补充在下面问题中的横线上,并解答.
若
,点D是
边上的一点,且______,求线段
的长.
①
是
的中线;②
是
的角平分线;③
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58f91070f4d90194611f3156d0eb9de6.png)
(1)求角A的大小;
(2)在下列三个条件中任选一个,补充在下面问题中的横线上,并解答.
若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb7e8d97b6ab9bcf69f5f40f7e01452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d78524f98b01fa1dadfd277939665b9.png)
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2022-05-26更新
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961次组卷
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7卷引用:云南省曲靖市师宗县平高学校(第四中学)2022-2023学年高一下学期期中考试数学试题
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4 . 若
分别是平面四边形
的边
的中点.
![](https://img.xkw.com/dksih/QBM/2021/6/5/2736600084873216/2763210240098304/STEM/80cbd992c46748cd98f84f0a1788721e.png?resizew=315)
(1)求
的值;
(2)证明:四边形
为平行四边形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4cff11306570d48789612d7f8b9ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1859270a7d316bc38e0308f1feb6c871.png)
![](https://img.xkw.com/dksih/QBM/2021/6/5/2736600084873216/2763210240098304/STEM/80cbd992c46748cd98f84f0a1788721e.png?resizew=315)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d6b23609ee972524bcbf968606a1c3c.png)
(2)证明:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
您最近一年使用:0次
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5 . 如图,在
中,
,
,
为
上一点,且满足
,若
的面积为
.
![](https://img.xkw.com/dksih/QBM/2020/2/16/2400371979788288/2401630425341952/STEM/573f3c5b1c004983b4a46fabfb59af0b.png?resizew=177)
(1)求
的值;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb15541fa53381c9130217ccac69f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebd5144c27c1d60243c0978f1b73456.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31b77a8b0e3b438c8707f9dbeb544c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://img.xkw.com/dksih/QBM/2020/2/16/2400371979788288/2401630425341952/STEM/573f3c5b1c004983b4a46fabfb59af0b.png?resizew=177)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3111d602c17d7d5f1b8ad9f162a2c22.png)
您最近一年使用:0次
2020-02-18更新
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11卷引用:云南省昆明市第八中学2020-2021学年高一下学期期中考试数学试题
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