已知
的内角A,B,C的对边分别为a、b、c,
.
(1)求角A;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1959796a1fa8efef8b74c240831b74a.png)
(1)求角A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002186264541533d9cfca0616a9a291b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
更新时间:2022-05-02 07:33:47
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适中
(0.65)
【推荐1】设向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f6486933fe3c2459cb13943244a088.png)
,
=(1,sinx-cosx),其中x∈R,函数
.
(1)求f(x)的最小正周期;
(2)若f(θ)
,其中0<θ
,求cos(θ+
)的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f6486933fe3c2459cb13943244a088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119d134f03ebc1ca0a41e1506d4eec71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d9e69d5f0c8566edfb0ac3937b8c4a.png)
(1)求f(x)的最小正周期;
(2)若f(θ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ada26e9b7fe22be819d675f72e086ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9b6d6b3ebda8727d7893714eda277ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
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【推荐2】已知
的内角
、
、
的对边分别为
、
、
,
.
(1)求角
的大小;
(2)若
,求
面积的最大值.
![](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/e007848ce0ac3e8c55a6fc26d450d93f.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08ce80e91fdf435a8e3ec05be990e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐1】如图,在
中,
,
,
.
是
内一点,且
.
![](https://img.xkw.com/dksih/QBM/2018/10/25/2061285880135680/2062490574348288/STEM/c8206cccfb584b8c8681bb817c468d46.png?resizew=128)
(1)若
,求线段
的长度;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26fdd8e57562ba94e10e7f1d770826d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc9b0d3cf342e065b4c8e21443bfbfbc.png)
![](https://img.xkw.com/dksih/QBM/2018/10/25/2061285880135680/2062490574348288/STEM/c8206cccfb584b8c8681bb817c468d46.png?resizew=128)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996b7f601c638ea0cb93f82f6aa4cd8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8b3bfde4b7cbca10de7d63bb7b2cfd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
您最近一年使用:0次
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【推荐2】在△ABC中,内角A,B,C的对边分别为a,b,c.已知
,
,
.
(1)求A;
(2)求△ABC的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fadd2e6f0aa16c2c466c904474ffc79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958b7b27a401f6b8352ae36e6e26d01f.png)
(1)求A;
(2)求△ABC的面积.
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解题方法
【推荐1】在
中,角
的对边分别为
,若
,且
的面积为
,
.
(1)求角
的大小及
;
(2)求
的值.
![](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/b6a193a8b55d53183990a7ea3d88d9fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb57d84f9bbcb3e30d4ce7e2e1e8604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/405bf49eac8e1e7cf70ea425448b4f21.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f3a180c35808d1fe14ae17876c4cc0.png)
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解题方法
【推荐2】在近年,中国采用“吹沙填海”的方式,成功将部分小岛礁连成一片,可以进而形成一个大岛礁.已知南海上存在
、
、
、
四个小岛礁,它们在一条直线上且满足
,若通过“吹沙填海”的方式建成了如图所示一个矩形区域
的大岛礁,其中
米.
![](https://img.xkw.com/dksih/QBM/2022/5/16/2980493404536832/2982932437606400/STEM/d9fd854f-f13c-4593-bcc9-fe00ddc06812.png?resizew=145)
(1)
为线段
上一点,求
最小值;
(2)
为线段
上一点,求
的最小值;
(3)因特殊原因,划定以
圆心,
为半径的
圆的区域为“隔离区”,拟建造一条道路
,使
与该“隔离区”的边界相切,求四边形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e79e34020990de0d64ed53ab616da39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4773a8abe4ed770eb04c834a6fdb77.png)
![](https://img.xkw.com/dksih/QBM/2022/5/16/2980493404536832/2982932437606400/STEM/d9fd854f-f13c-4593-bcc9-fe00ddc06812.png?resizew=145)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ec484de21b1c9f47ca048910c3a32f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb44f122160d6ae6a16e31948c887ac7.png)
(3)因特殊原因,划定以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eadc3e1c22683c687ce0c24893b22f8.png)
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