如图,在四边形
中,已知
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212bfbd5575772ca36d6fc3e7b246e49.png)
,且
的面积为
,求
的面积:
(2)若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f144992e1cbee34868abce1e5ad38c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212bfbd5575772ca36d6fc3e7b246e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6cc97050be604eb5af3fa5887a76d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbced129627233661d88e9663a9e13c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/802e162b98c280720fcb909cf392fda3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bf10d92f20501e19d25f6f4159aab89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
18-19高一下·辽宁锦州·期末 查看更多[7]
辽宁省锦州市2018-2019学年高一下学期期末数学试题(已下线)江西省南昌市江西师大附中2019-2020学年高一下学期月考数学试题(已下线)专题1.3+正弦定理、余弦定理的应用(2)(重点练)-2020-2021学年高二数学十分钟同步课堂专练(苏教版必修5)(已下线)专题6.8 解三角形大题(取值范围问题2)-2022届高三数学一轮复习精讲精练江西师范大学附属中学2019-2020学年高一3月月考数学试题辽宁省沈阳市东北育才学校科学高中部2021-2022学年高一下学期阶段测试数学试题河南省周口市西华县第二高级中学2023-2024学年高一下学期第一次月考数学试题
更新时间:2019-09-19 21:53:20
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相似题推荐
解答题-问答题
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适中
(0.65)
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解题方法
【推荐1】在
中,角
所对的边分别为
且
.
(1)求
的值;
(2)若
的面积为
,求
边上的高.
![](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/d1fe1f1114cbae381a923ed9e539635b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c9c8b5c88280be3fd266f568d24c6fc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbd3e8cf8325999cde03adf845d3dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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适中
(0.65)
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【推荐2】凸四边形ABCD中,AB=3,BC=4,CD=4,DA=6.记
,
.
(1)求
的值;
(2)设凸四边形ABCD的面积为S,求S的最大值,以及当S取得最大值时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597ce705d3a2fe04d29de9e81ec6250d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/102e0f5ca723747618a309c8b303fff4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b53e50d2b263ec2d52901def6dfb24f.png)
(2)设凸四边形ABCD的面积为S,求S的最大值,以及当S取得最大值时
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
您最近一年使用:0次
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适中
(0.65)
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【推荐3】已知
,三条边
、
、
的对角分别是
、
、
,面积为
.
(1)若
,判断
的形状;
(2)若
,且最大边
,求
的最大值;
(3)若
,
,且
,求
的最大值.
对问题(3)有同学给出如下解法:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d594a524c23115922736751030961cdb.png)
当
,
,
时,
有最大值28.
上述解法是否正确,请说明理由;若正确,试求
的取值范围,若不正确,给出求
最大值的正确解法.
![](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/cf231f8f86fb922df4ca0c87f044cec3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11df0faa0f57b0b7ce284ff736bc0f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f152c45ab64d2d6fc06c8dca135aa52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30ebb2603c1da90c22e0abdd5131b0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee42c4e5c27fabca6506c3f8537c4ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e98947ffb6c3e27a77543a231c7ef2ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccb01b5e250d31fd45afae90b99124e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
对问题(3)有同学给出如下解法:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d594a524c23115922736751030961cdb.png)
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f34365e5040ce6944115c8da61bf110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2be103fd3ce46a6b6f271e60523597c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8652515789d01ab3af8c9986cf94274a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
上述解法是否正确,请说明理由;若正确,试求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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【推荐1】在
中,角A,B,C所对的边分别为a,b,c,已知向量
,
,且
.
(1)求角A的大小;
(2)若
,求
周长的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5504d47774d7df192ef14115e4a63297.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70f3e2903e11ff0eb460a43d965e0bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48e35d6e8788838f5c3c912dd882d1a7.png)
(1)求角A的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
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【推荐2】已知△ABC为锐角三角形,内角A,B,C的对边分别为a,b,c,且acosB+bcosA=2ccosC.
(1)求角C;
(2)若c=2,求△ABC的周长的取值范围.
(1)求角C;
(2)若c=2,求△ABC的周长的取值范围.
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