2024高三·江苏·专题练习
解题方法
1 . 已知
为锐角,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2626486fdd974b7add0ed7360a8551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
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解题方法
2 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ac1449bb0d68998f1209a20c38353e.png)
(1)若角
是第三象限角,且
,求
的值;
(2)若
为锐角,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ac1449bb0d68998f1209a20c38353e.png)
(1)若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/608515b00a710bb8babcae8dbf730ad4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd288d4152caf5fc8187a1a901c8949f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebf290caa3f2eb3f2bf68d3e609c6693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd288d4152caf5fc8187a1a901c8949f.png)
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解题方法
3 . 记
的内角
,
,
的对边分别为
,
,
,已知
,
.
(1)若
,求
的面积;
(2)若
,求
.
![](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/e899c486dc49e560fc4aca05e16835b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91fc3570fb0b6bb12bc8c81aa5dd083a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7299e70a3eb44a107ab3a12ee7b3ebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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2024-02-13更新
|
1765次组卷
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3卷引用:山东省临沂市费县2024届高三下学期开学考试数学试题
解题方法
4 . 在
中,内角
的对边分别为
,且
.
(1)求A:
(2)若
,
的面积为
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/516983449108347c9bbf5dd2a72ab3dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90d7f054e8f0346479e1999622f11cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b1182c4fbfbe44f693a823c70ad415.png)
(1)求A:
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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5 . 已知都是锐角,
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26df8c6bf396cac07c7b8a1ffbd703ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fe57d4fbae536de2e641d9d349fcf1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512580e3e02e9672a8c7497e94674942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32aca623a9dce4b5337ebf7177b635b.png)
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2024-02-12更新
|
615次组卷
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4卷引用:山东省临沂第十八中学2023-2024学年高一下学期2月收心考试数学试题
山东省临沂第十八中学2023-2024学年高一下学期2月收心考试数学试题湖南省浏阳市2023-2024学年高一上学期期末质量监测数学试卷(已下线)8.2.2两家和与差的正弦、正切-同步精品课堂(人教B版2019必修第三册)(已下线)8.2.2 两角和与差的正弦、正切(2)-【帮课堂】(人教B版2019必修第三册)
名校
解题方法
6 . 已知函数
.
(1)化简
的解析式;
(2)若
,且
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921f5c4adee9c607496f3bcf99b8fb4f.png)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57fd7d45d159443d6eef5b368d64216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b32aeff1cf980cfa756a60376d3098a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecbe071071dd3918e263414a5d2edda4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd927b4b5a7875528c1b54aa4bb8b2dd.png)
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2024-02-11更新
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381次组卷
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6卷引用:山东省临沂第十八中学2023-2024学年高一下学期3月阶段性测试数学试题
山东省临沂第十八中学2023-2024学年高一下学期3月阶段性测试数学试题湖北省武汉市第二中学2023-2024学年高一上学期期末数学试卷(已下线)专题10.1两角和与差的三角函数-重难点突破及混淆易错规避(苏教版2019必修第二册)(已下线)8.2.2 两角和与差的正弦、正切(2)-【帮课堂】(人教B版2019必修第三册)江苏省南京市河西外国语学校2023-2024学年高一下学期3月月考数学试卷(已下线)专题04三角恒等变换期末6种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)
解题方法
7 . 已知
的内角A,B,C所对的边分别为a,b,c,
,三条内角平分线相交于点O,
的面积为
.
(1)求A;
(2)若
,求OA.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/660662afc12f31f304c74dee6dc5b8da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebb49c1fd097c5aafc0c9080449f5fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14fc6d812e0f2a7ff2b7bb4f4c92369d.png)
(1)求A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/486160ebd73a249a96d369f8249cf114.png)
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8 . 已知函数
的相邻两对称轴间的距离为
.
(1)求函数
的解析式;
(2)将函数
图象上点的横坐标伸长到原来的
倍,纵坐标不变,再向右平移
个单位长度得到函数
的图象,若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d850155a1b23ec95cc62854bcc0ca17a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f8d7771b82429dcd6b48b768918c7c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55444d884cb55b057de463677879d772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b3c6bc6f6616646a90b8f9bf427502.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
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2023-11-26更新
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741次组卷
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5卷引用:山东省临沂市兰山区临沂第四中学2023-2024学年高一下学期3月自我检测数学试题
山东省临沂市兰山区临沂第四中学2023-2024学年高一下学期3月自我检测数学试题四川省泸州市2024届高三第一次教学质量诊断性考试数学(理)试题(已下线)专题16 三角函数单调性、周期性、对称轴、对称中心(期末大题6)-题型秒杀技巧及专项练习(人教A版2019必修第一册)山东省枣庄市滕州市2023-2024学年高一上学期1月期末质量检测数学试题山东省淄博中学2023-2024学年高一下学期4月月考数学试题
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解题方法
9 . 在
中,角A,B,C所对的边分别a,b,c,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9823c331bef0ffc8ea64e55b12863c6.png)
(1)求角A的值;
(2)若
,BC边上的中线长为1,
为角A的角平分线,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9823c331bef0ffc8ea64e55b12863c6.png)
(1)求角A的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e80987f45680998680357b8486e8ed52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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2023-10-29更新
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4卷引用:山东省临沂第一中学2023-2024学年高三上学期周末强基训练数学试题
山东省临沂第一中学2023-2024学年高三上学期周末强基训练数学试题山东省济南市莱芜第一中学2023-2024学年高三上学期10月月考数学试题(已下线)黄金卷02(已下线)专题12 正余弦定理妙解三角形问题和最值问题(练习)
解题方法
10 . 记
的内角A,B,C的对边分别为a,b,c,
.
(1)若
,求
;
(2)求C的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/169721430214ee4c8787d2f8594c6910.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe7a93172d308a58200e3c722fe1072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aae1dc870a60a2070469d556deb472.png)
(2)求C的最大值.
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