解题方法
1 . 在
中,角A,B,C所对的边分别为a,b,c.已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef2e34a4adaf87ba52790f88a211a6cd.png)
.
(1)证明:
;
(2)求a;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef2e34a4adaf87ba52790f88a211a6cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2c90d58215831b341f7fb68545a5e0.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
(2)求a;
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b919f0869717376807ca5481f17412.png)
您最近一年使用:0次
解题方法
2 . 在斜三角形
中,内角
所对的边分别为
,已知
.
(1)证明:
;
(2)若
的面积
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.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/7a60cbe43441afaac1f6e822020779e9.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a3f90f37a69d673d5654acf3e7e3630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f98656da793a0d6d3346074d7b5281c.png)
您最近一年使用:0次
3 . 已知对任意正整数n,都存在n次多项式函数
,使得
对一切
恒成立.例如“
,
”
(1)求
;
(2)求证:当n为偶数时,不存在函数
使得
对一切
恒成立;
(3)求证:当n为奇数时,存在多项式函数
使得
对一切
恒成立,并求其最高次项系数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2425552313d50a253bfb3cb4e9974ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7357edad3861daeb9328b2a8c1fd547a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a053a389d6b77ca56c114336783799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68babd0b5e06e74642d647a9b3c5e5e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2683001d33c4b5bee8330e605cea939.png)
(2)求证:当n为偶数时,不存在函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6f0a55fa53bf5f8e6654897975bcf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b43cecaa5d4347185bb50ebb36750736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
(3)求证:当n为奇数时,存在多项式函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c5952c5b7806d45db61d1abf572d9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07694fbfb14f7a61d2cd1bc86a1f9eef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
您最近一年使用:0次
4 . 已知
为锐角三角形,且
.
(1)证明:
;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ddce89498b5d0f74d11fbcae2563eb.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09eebab59213386449a726b75065bf76.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17145b1c12c95ae02e401a8db98c6f51.png)
您最近一年使用:0次
2022-09-14更新
|
949次组卷
|
3卷引用:广东省潮阳实验、湛江一中、深圳实验三校2023届高三上学期9月联考数学试题
解题方法
5 . 由两角和差公式我们得到倍角公式
,实际上
也可以表示为
的三次多项式.
(1)试用
表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b290860352dfc9a9a1e3aaf0017516f.png)
(2)求
的值![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(3)已知方程
在
上有三个根,记为
,
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e13ede7ea3fce049c55b27d172e9d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e466065b109bba091d8147c017aa82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb49947eb370e18720a191b18796c6f.png)
(1)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb49947eb370e18720a191b18796c6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b290860352dfc9a9a1e3aaf0017516f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8213c45c258517e2236509a4c3e7e81a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(3)已知方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be47ef0a7117db22135a88605ca9fe26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96214533fc29c69da9d6a0f92080f04b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040135d64192de075ba0cc9f11ddbc9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaa33c2bd791339d32821077846605d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea68e3e47a094d30bcda211741da5d77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7765c559af2ed5a09bf6ab6a6bc5ea87.png)
您最近一年使用:0次
2022-09-25更新
|
1737次组卷
|
4卷引用:江苏省南通市海门区2021-2022学年高一下学期期末数学试题
江苏省南通市海门区2021-2022学年高一下学期期末数学试题福建省福州第十五中学2023届高三10月月考数学试题(已下线)第5章 三角函数(基础、典型、易错、压轴)分类专项训练(2)【江苏专用】专题02三角函数(第二部分)-高一下学期名校期末好题汇编
名校
6 . 观察以下等式:
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b0f45966c30d12d5772424b61980f.png)
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83dc0fcf260db515d8128c44be89bac9.png)
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031bec2b4a8d027a2388e4d8fd04d3a9.png)
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ae99de91b3f23bd0e828c54a96b926.png)
⑤![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cab538c99ba4d0ca62a489926fd951c.png)
(1)对①②③进行化简求值,并猜想出④⑤式子的值;
(2)根据上述各式的共同特点,写出一条能反映一般规律的等式,并对等式的正确性作出证明.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b0f45966c30d12d5772424b61980f.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83dc0fcf260db515d8128c44be89bac9.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031bec2b4a8d027a2388e4d8fd04d3a9.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ae99de91b3f23bd0e828c54a96b926.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cab538c99ba4d0ca62a489926fd951c.png)
(1)对①②③进行化简求值,并猜想出④⑤式子的值;
(2)根据上述各式的共同特点,写出一条能反映一般规律的等式,并对等式的正确性作出证明.
您最近一年使用:0次
2022-02-17更新
|
546次组卷
|
7卷引用:广东省茂名市电白区2021-2022学年高一上学期期末数学试题
广东省茂名市电白区2021-2022学年高一上学期期末数学试题广东省佛山市顺德区华侨中学2021-2022学年高一下学期3月月考数学试题湖北省武汉市新高考联合体2021-2022学年高一下学期期末数学试题(已下线)模块三 专题7 大题分类练(三角恒等变换)拔高能力练(北师大版)(已下线)模块三 专题5 大题分类练(三角恒等变换)拔高能力练(苏教版)福建省福州市日升中学2023-2024学年高一上学期12月月考数学试题广西百色市平果市铝城中学2023-2024学年高一上学期期末数学解答题专项训练(二)
名校
解题方法
7 . 在△ABC中,内角A,B,C的对边分别为a,b,c,满足
,且
.
(1)证明:
;
(2)若
,
,求△ABC的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a107cc222fe29f7a64d1149e621d496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069390dd908ff203327958117a226593.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab919b06a2f3252a903786de0b8e4fda.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b61877786647905648a5da06c0562b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80492356de83a14612ca57cf6c1de5c4.png)
您最近一年使用:0次
2022-05-26更新
|
384次组卷
|
2卷引用:河北省衡水市部分学校2022届高三下学期3月联考数学试题
名校
解题方法
8 . △
的内角A,B,C的对边分别为a,b,c,已知△
的面积为
.
(1)证明:
;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1641d47b6412d82c7f64aa79222e2f76.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4a93c05337d718428222cced9e91d06.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8da0c6034de92d991429187b0057a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5201fc26d013f6fb889933c0e32f5c53.png)
您最近一年使用:0次
2022-03-17更新
|
5190次组卷
|
11卷引用:广东省广州市2022届高三一模数学试题
广东省广州市2022届高三一模数学试题山东省济南市历城第二中学2021-2022学年高三下学期3月模拟数学试题陕西省西工业大学附属中学2021-2022学年高二下学期第十次大练习数学试题(已下线)三轮冲刺卷07-【赢在高考·黄金20卷】备战2022年高考数学模拟卷(新高考专用)天津市南开中学2022届高三下学期统练19数学试题陕西省安康中学2021-2022学年高一下学期第二次月考数学试题(已下线)考点09 解三角形-1-(核心考点讲与练)-2023年高考数学一轮复习核心考点讲与练(新高考专用)江西省金溪县第一中学2022-2023学年高二上学期开学考试数学试题(已下线)专题20 解三角形-1山东省青岛第五十八中学2023届高三一模数学试题(已下线)黄金卷06
名校
9 . 如图,已知
、
分别是正方形
边
、
的中点,
与
交于点
,
、
都垂直于平面
,且
,
,
是线段
上一动点.
![](https://img.xkw.com/dksih/QBM/2021/10/15/2830072873754624/2831822349582336/STEM/a1c685e9-e713-4edd-9337-368441bd36b9.png?resizew=285)
(1)求证:
平面
;
(2)若
平面
,试求
的值;
(3)当
是
中点时,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dafebaaf13781120dc57c277d0267c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a4950a6e4202efd609507964af238b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18091448701460b53e076331e7c575cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://img.xkw.com/dksih/QBM/2021/10/15/2830072873754624/2831822349582336/STEM/a1c685e9-e713-4edd-9337-368441bd36b9.png?resizew=285)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a5f445af1ae136773cb338920552ff2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb178784aa857d4d4683e650273f054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed4cba9d2412e4a28f8740bddd5738d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad337a2ee42c1d43458859014c54b92.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da17111d46f81cb18e994291fe0786f.png)
您最近一年使用:0次
2021-10-18更新
|
396次组卷
|
9卷引用:上海市大同中学2021-2022学年高二上学期10月月考数学试题
上海市大同中学2021-2022学年高二上学期10月月考数学试题四川省成都市郫都区2021-2022学年高二上学期期中考试数学(理)试题四川省成都市郫都区2021-2022学年高二上学期期中考试数学(文)试题(已下线)第08讲 二面角(核心考点讲与练)-2022-2023学年高二数学考试满分全攻略(沪教版2020必修第三册)上海市奉贤中学2021-2022学年高二上学期期中数学试题上海市高桥中学2021-2022学年高二上学期12月月考数学试题(已下线)10.4 二面角(第2课时)【作业】(夯实基础+能力提升)-【教材配套课件+作业】2022-2023学年高二数学精品教学课件(沪教版2020必修第三册)上海市金山区张堰中学2023-2024学年高二上学期阶段教学质量调研数学试题(已下线)专题04平面与平面的位置关系(2个知识点8种题型)-【倍速学习法】2023-2024学年高二数学核心知识点与常见题型通关讲解练(沪教版2020必修第三册)
20-21高一·全国·课后作业
10 . 证明:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49aae968756928b30a40ac3775a56858.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c11eb6c04d2ce8d391994e41f1077292.png)
您最近一年使用:0次
2021-11-12更新
|
325次组卷
|
5卷引用:第十章本章回顾
(已下线)第十章本章回顾广东省湛江市2021-2022学年高一上学期期末数学试题(已下线)5.5.2简单的三角恒等变换(同步练习)-【一堂好课】2021-2022学年高一数学上学期同步精品课堂(人教A版2019必修第一册)(已下线)模块三 专题4 (三角函数)(拔高能力练)(北师大版)苏教版(2019)必修第二册课本习题第10章复习题