1 . 已知
为锐角三角形的三个内角.
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c99d9baa17058766456877027b05c796.png)
(2)求
的最小值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c99d9baa17058766456877027b05c796.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681ec70411257b96d0f5bc56f8428397.png)
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解题方法
2 . 已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/046387911745f43ff3b6804ea58eb26a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6105ce0cf660bbd473c3c7008dcd8cb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc903c19f7b3b0aa58cdb0cdb7b062a0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 若
的内角
所对的边分别为
,且满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.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/3e86e097029b443a1fa263164f25163a.png)
A.角![]() | B.![]() |
C.![]() | D.角![]() ![]() |
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名校
解题方法
4 . 已知
与
都是非零有理数,则在
,
,
中,一定是有理数的有( )个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae3c7568ada9b818bb2a7a902f8bc62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d328ffcf1b593e1fe064b1a54e7b5931.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
A.0 | B.1 | C.2 | D.3 |
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2024-04-15更新
|
387次组卷
|
3卷引用:上海市七宝中学2023-2024学年高一下学期期中考试数学试卷
5 . 求值:
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e1fdd5c8f2c66909cbdfd10880d243.png)
A.![]() | B.![]() | C.1 | D.![]() |
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2023-11-02更新
|
2525次组卷
|
6卷引用:江苏省苏州市梁丰高级中学2023-2024学年高三上学期10月模拟数学试题
江苏省苏州市梁丰高级中学2023-2024学年高三上学期10月模拟数学试题(已下线)第四章 三角函数与解三角形 专题 12 三角恒等变换中的求值问题 高中数学优质试题一题多解和变式训练(已下线)专题05 三角函数4-2024年高一数学寒假作业单元合订本湖南省2024届高三数学新改革适应性训练二(九省联考题型)(已下线)【公式证明】和差公式 口诀处置(已下线)8.2.4 三角恒等变换的应用-【帮课堂】(人教B版2019必修第三册)
解题方法
6 . 在锐角
中,角
的对边分别为
,
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26308ea6d8f321d27acbd7f9b131f9f1.png)
________ ,
的取值范围为________ .
![](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/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/8d8cf6c74781f94d8e2a1303d121f640.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26308ea6d8f321d27acbd7f9b131f9f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ec9051a6cede2a6aded68ce106a40a.png)
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22-23高三上·上海浦东新·开学考试
名校
7 . 对开区间
,定义
,当实数集合
为
段(
为正整数)互不相交的开区间
的并集时,定义
,若对任意上述形式的
的子集
,总存在
,使得
,其中
,则
的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095747cd995cc4524071c66ab76e5fe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9fa78977d3830bb863c4df4ba362064.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53f84ec1c2416ead2a3f92d05af188a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ca25c7ef458ef1da40d7f1d2d99c1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a7792efd7f82bfa7549db4cb6ca761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232d1ce3ad14256b1543e6007ff1675d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a593f20de490729bc067552e62661e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8145182f289fbed90bbce4fe773205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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