21-22高一·湖南·课后作业
1 . 在
中,a,b,c分别是
,
,
的对边,若
,求
.
![](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/9c1ba07e7a73d022b99743224c61a745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
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解题方法
2 .
的内角
、
、
的对边分别为
、
、
,其中
,
,若将六个和
全等的三角形围成如图的正六边形,设其面积为
,设阴影部分面积为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a39f04d1c3551403dbbed35deb01232.png)
________ .
![](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/99f2f1eb2beb23690f56a68dc7da08cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958b7b27a401f6b8352ae36e6e26d01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a39f04d1c3551403dbbed35deb01232.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/91dc07a0-c981-4e33-b774-7143816b305b.png?resizew=148)
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3 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90cefef566034519a1699074a2e01fe.png)
(1)求
的值.
(2)求
的值.(结果保留根号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90cefef566034519a1699074a2e01fe.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c734304a5a74c3344e53d4b4a225db93.png)
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解题方法
4 . 下列结论中是正确的有( )
A.函数![]() ![]() |
B.若![]() ![]() ![]() |
C.函数![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2022-01-29更新
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2卷引用:湖南省湘西自治州2021-2022学年高一上学期期末质量检测数学试题
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5 . 已知a,b,c分别为△ABC三个内角A,B,C的对边,
,
,△ABC的面积为
.
(1)求a;
(2)若D为BC边上一点,且∠BAD=
,求∠ADC的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43d09196d6643e64ab5b9b5df02d98a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ca820a456491348e72587e4fe10bc6.png)
(1)求a;
(2)若D为BC边上一点,且∠BAD=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
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6 . 求值:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc3f7cb5df0be431d93e775f8abe046e.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc3f7cb5df0be431d93e775f8abe046e.png)
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2卷引用:湖南省邵阳市新邵县第二中学2021-2022学年高一下学期入校分班考试数学试题
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7 . 已知
,
,
,
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e78a6a04962df03e5a4aef5cfd9dfdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30bcd508eb0fac4bc1333144d929ec5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a52e6409691dca51e3321fc87eae54ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb60021582ba1ab1b6b3e390a317c1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e6b5e15774ae6f375b589e734233d6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8卷引用:湖南省长沙市长郡中学2024届高三上学期开学考试(暑假作业检测)数学试题
湖南省长沙市长郡中学2024届高三上学期开学考试(暑假作业检测)数学试题山东省菏泽市2021-2022学年高一上学期期末数学试题(已下线)第03练 三角恒等变换-2022年【暑假分层作业】高一数学(苏教版2019必修第二册)(已下线)10.1 两角和与差的三角函数1-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(苏教版2019必修第二册)江苏省镇江中学2022-2023学年高一下学期三月检测数学试题福建省泉州市第七中学2023届高三毕业班模拟考试数学试题四川省眉山市仁寿县铧强中学等校2022-2023学年高一下学期期中联考数学试题辽宁省沈阳市东北育才学校科学高中部2022-2023学年高一下学期期中考试数学试卷
8 . 已知函数
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79155a8b6062a5ea796edef1dfd30bc4.png)
A.![]() |
B.![]() ![]() |
C.![]() ![]() |
D.将![]() ![]() |
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解题方法
9 . 已知
,
为锐角,
,
.
(1)求
的值;
(2)求
的值;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef966cdd137b3b10e290201b4d17542e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d763b6c57d61d71b85878027d3eacf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850dba25bf0f5f13541bf9b6ec12b84d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f90c4754e6b6fc862d72943fb35569.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd927b4b5a7875528c1b54aa4bb8b2dd.png)
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解题方法
10 . 在
中,a,b,c分别为内角A,B,C的边.已知
,
,
.
(1)求b,c的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08ce80e91fdf435a8e3ec05be990e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e8597bbb003795e69acd1f7a38d523e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ab6134ef9b7feb98a3906d56793cd1.png)
(1)求b,c的值;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c631f55f2b59c07c4654f1fd2590ec.png)
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