在三角形ABC中,已知a=7,b=3,c=5,求最大角和sinC.
更新时间:2016-12-03 10:01:43
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【推荐1】在△ABC中,角A,B,C所对的边分别为a,b,c,已知
,其中,
.
(1)求角B的大小;
(2)若
,求△ABC面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ebf90f57f4a57f00967c3f40c92ad32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5190c074686d855c0ddba05bb238fe99.png)
(1)求角B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ceb2219fff13d48d15ba96413c9365.png)
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【推荐2】在
中,内角
的对边分别为
,且
,
.
(Ⅰ)求角
的大小;
(Ⅱ)设
边的中点为
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.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/d255c19c3210cf0adc55dfcf1c126194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe4d0cfca55a9129e18b65659ed5821.png)
(Ⅰ)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8712cfb87b3dcce26e57f320ed845f63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
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【推荐1】在△
中,内角
、
、
的对边分别为
、
、
,已知__________.(在以下这三个条件中任选一个填入上方的横线上作为已知条件,并解答下面两个问题,如果选择多个条件解答,按第一个解答计分)
①
;②
;③
(
是锐角△
的外接圆半径).
(1)求
;
(2)若
,△
的面积为
,求△
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.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)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/901805ccfb9d2af1cc95cbccec65877b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef5bbec22aa4a92538aa16584fee7714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d69fb1621f4b0ecfc94d0623bb598a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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【推荐2】已知锐角
的内角A,B,C的对边分别为a,b,c,且
.
(1)求A;
(2)若
,求
外接圆面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee29f70e571ca5f42b3ca9b9e238fa08.png)
(1)求A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa70ba4a4cb12953c7e906d4fae8ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
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适中
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解题方法
【推荐1】在
中,内角A,B,C的对边分别为a,b,c,且
.
(1)求角C的大小;
(2)设
,若
的外接圆半径为4,且
有最大值,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a92bace9ce7299c679b5425694f4e292.png)
(1)求角C的大小;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e34f42b3be15518c29e3689c9fe6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66545e36fed8f4946b193f779dbe4f4.png)
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(0.65)
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【推荐2】已知
,
,若
且
的图像相邻的对称轴间的距离不小于
.
(1)求
的取值范围;
(2)若当
取最大值时,
,且在
中,
、
、
分别是角
、
、
的对边,其面积
,求
周长的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958e01a1c265133009157b45d71f773a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a80d89541e23839d7d845cfff8591b85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2104745f6548c40d42d046514e78df46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a0d5cf8c22d0cf93274939d92963665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/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/ee21151797c1dcc7501d1ea55c8aab50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐1】已知
为非直角三角形,
.
(1)证明:
;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a7cdbb3639e8e4e8e846e372f7c0ef.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c18b3802b0eb51b33044bc3b2569baf8.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5201fc26d013f6fb889933c0e32f5c53.png)
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【推荐2】在①
;②
;③
;这三个条件中任选一个(注:如果选择多个条件分别解答,按第一个解答计分)补充在下面问题中,并作答.
在
中,内角A,B,C的对边分别是a,b,c,且______.
(1)求角
的大小;
(2)若点
满足
,
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd6d3d6c40ad5e0ebb6a348c5541952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76e00a4a52e84ed4a5acbf7a97641f60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20be9adeb5574fdd3d975f053062887c.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f1182f0996b64bd2635a01d66f3920f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb08f6a798dc293f3d8de281190f65e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e0cdfb6d592897c6485ce1741677846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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