名校
解题方法
1 . 在
中,
,
,
对应的边分别为
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b7cf620e36b473d399931a1bf74044.png)
(1)求
;
(2)若
为线段
内一点,且
,求线段
的长;
(3)法国著名科学家柯西在数学领域有非常高的造诣;很多数学的定理和公式都以他的名字来命名,如对于任意的
,都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bac31c743e047705e38e6e3880a73bb.png)
被称为柯西不等式;在(1)的条件下,若
,求:
的最小值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.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/a7b7cf620e36b473d399931a1bf74044.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e12918bd035d4e57797c078026b2e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926d38cce21b48df42041e4b8b2a7db7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(3)法国著名科学家柯西在数学领域有非常高的造诣;很多数学的定理和公式都以他的名字来命名,如对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751f52d4cf239511828e3960e41c61df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bac31c743e047705e38e6e3880a73bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/214b60823ecc7a03759fb1df0f6d8d7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1cd0450780778d5ae577e676f6a741d.png)
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3卷引用:专题05 解三角形大题常考题型归类-期期末考点大串讲(人教B版2019必修第四册)
(已下线)专题05 解三角形大题常考题型归类-期期末考点大串讲(人教B版2019必修第四册)山东省济宁市兖州区2023-2024学年高一下学期期中质量检测数学试题福建省安溪第一中学2023-2024学年高一下学期5月份质量检测数学试题
2 . 如图所示,圆内接四边形
中,
,
为圆周上一动点,
.
(2)若
,求AC的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c63bfe8427f7e8239bb3b11bd660f9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df793f5dac174bc71bd1e82bbf5732b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b390d05e64fcf668472db4c1c51a1bf.png)
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2024高一下·江苏·专题练习
解题方法
3 . 已知
中,角A,B,C的对边分别为a,b,c,且
.
(1)求A
(2)若
,求
内切圆周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edca52778921c5479146ecbb56f6bd81.png)
(1)求A
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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名校
解题方法
4 . 在
中,角A,B,C所对的边分别为a,b,c,
,
.
(1)求角B的大小;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6129fbf40a950fc8c516f0abaab21957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ab2d91c489085219ac31c1ef8d7430f.png)
(1)求角B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/708fb15948f1fc5e6c6838c573bfa4ce.png)
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名校
解题方法
5 . 已知
的内角A,B,C的对边分别为a,b,c,向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d94f3cbe1c563cedea29cf05c7feee.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/915d0f621785da734a5c5c9da0f39ada.png)
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f643616cd3d2459c506c8647641f081f.png)
,
外接圆面积为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e22bcc5c945421216c1cdba6453ba8.png)
(1)求A;
(2)求
周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d94f3cbe1c563cedea29cf05c7feee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f24b9afb01483a5a90c9fe21b9cefd80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/915d0f621785da734a5c5c9da0f39ada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8273c260813c85abf25b7ce7163d8cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f643616cd3d2459c506c8647641f081f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4537e903a5e152e6d69b0aa0e6e648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e22bcc5c945421216c1cdba6453ba8.png)
(1)求A;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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海南省海口市海南中学2023-2024学年高一下学期第二次月考(6月)数学试题(已下线)专题05 解三角形大题常考题型归类-期期末考点大串讲(人教B版2019必修第四册)福建省厦门市同安第一中学2023-2024学年高一下学期第一次月考数学试卷(已下线)专题03 解三角形(2)-期末考点大串讲(苏教版(2019))
名校
解题方法
6 . 已知锐角
的内角A,B,C所对的边分别为
,向量
,
,且
.
(1)求角C的值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3dee7a538f9e9d3f4733b5fb957a945.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd5fed8e2479379deb00e116be29b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a794bdf8fa3fa34bc3d6d165cb07f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4d070c5939bb0ec4a9d40d7e3c7d3f.png)
(1)求角C的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
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名校
解题方法
7 . 如图,在平面四边形ABCD中,E为线段BC的中点,
.
,求AE;
(2)若
,求AE的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b377f22aafd3742ad860f77abaacef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb12049c4ca9c62d12c884bbaa9d09.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df54bb4e7febefb181ed69139d76317d.png)
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6卷引用:山东省聊城第一中学等部分学校2023-2024学年高一下学期5月质量监测联合调考数学试题
解题方法
8 . 记
的内角A,B,C的对边分别为a,b,c,已知
.
(1)求角C的大小;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766f1a5415c597e061f20a9a627ba53b.png)
(1)求角C的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb5bac75f36bb1dc5c8190d4dbe681d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
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名校
解题方法
9 .
的内角
的对边分别为
,设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df2aa5ec7101c7dd355f0cab6f4fe31.png)
(1)求B;
(2)若
,试判断
的形状;
(3)若
,求锐角
的面积的取值范围.
![](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/6df2aa5ec7101c7dd355f0cab6f4fe31.png)
(1)求B;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02746ec8e4220d8b4a174d5e9a711ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b97bb18e5ca34d22b5e827316a122a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解题方法
10 . 在
中角A,B,C的对边分别为a,b,c,且
.
(1)求角C的大小;
(2)若
,
,CH为AB边上的高,H为垂足,
,其中m,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63e1e867d056ae92954e8c8fed547840.png)
(1)求角C的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/225bfd80ba9c9d6d6a25c51fbd63c6be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8440725e1df5ca0990b572dd84127914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0be44077d42cfffece905b1af13e000.png)
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