名校
1 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9c127fef6f5aa84512b06539c9d77ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e682f8aedfc246f44520781e77d335a4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
2 . 若
,且
与
存在且唯一,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01abd30f678efbd01045fd39e26083ea.png)
![](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/4b1d69f1959ee319ad0f189afce34613.png)
A.2 | B.4 | C.![]() | D.![]() |
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名校
解题方法
3 . 在
中,内角
的对边分别是
,若
,且
,则
( )
![](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/644b3f591017ea78649961ffa4fa461e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ecc97d983426abe5f7cb5a4da33c8fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afde09d82ae96f00c135732baee64776.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-13更新
|
304次组卷
|
2卷引用: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
名校
4 .
的内角
的对边分别为
.分别以
为边长的正三角形的面积依次为
,且
.
(1)求角
;
(2)若
,
,求
.
![](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/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf4e20ea341827ce5f9552daee39462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/126e6d6c2643cee094d0182179f24c5a.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac9abff953a60dd62cd402c5604eb97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731ac94d7d7af196a74d9aa5021cbb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edae2fbf118961efad281815201844d.png)
您最近一年使用:0次
2024-06-11更新
|
947次组卷
|
3卷引用:福建省厦门市厦门外国语学校2024届高三下学期模拟考试数学试题
名校
解题方法
5 . 在
中,
,
为
内一点,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1bf25d6d5e19e61b8e30e1f50d23db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb2dd10731b99c0f4f89ee957f8a239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bcf905f3910d9238a44ef647835b3d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/744d824921dbdfe961d73f8296efef84.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-08更新
|
1662次组卷
|
5卷引用:福建省福州市福建师范大学附属中学2024届高三下学期校模拟考试数学试题
福建省福州市福建师范大学附属中学2024届高三下学期校模拟考试数学试题山东省枣庄市2024届高三三调数学试题山东省青岛市2024届高三下学期第二次适应性检测数学试题(已下线)山东省济南市2024届高三下学期5月适应性考试(三模)数学试题广西南宁市第三中学2024届高三下学期校二模数学试题
名校
解题方法
6 . 三角学于十七世纪传入中国,此后徐光启、薛风祚等数学家对此深入研究,对三角学的现代化发展作出了巨大贡献,三倍角公式就是三角学中的重要公式之一,类似二倍角的展开,三倍角可以通过拆写成二倍角和一倍角的和,再把二倍角拆写成两个一倍角的和来化简.
(1)证明:
;
(2)若
,
,求
的值.
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb70e900ecb76be12d0606e0659d0ad.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e622cb5c4b1cb336908a93b2356912d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
解题方法
7 . 已知
,
均为锐角,
,则
( )
![](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/936d946492774753d3846d8cb77bc1c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070786b628b5573e6dbd73c252ffb010.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
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
的大小;
(2)若
点在线段BC上,且AD平分
,若
,且
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c5b8ff06f0bc798144f4dab6ab127ce.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d78524f98b01fa1dadfd277939665b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d783fe7f3ce673d5d21281174e7a7968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
9 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a44a3344b7ac4f92c5d3b4d6dbad366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc903c19f7b3b0aa58cdb0cdb7b062a0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-24更新
|
384次组卷
|
2卷引用:福建省福州市第十五中学等五校2023-2024学年高一下学期期中联考数学试题
名校
解题方法
10 . 定义非零向量
的“相伴函数”为
,向量
称为函数
的“相伴向量”(其中
为坐标原点).
(1)设
,写出函数
的相伴向量
;
(2)已知锐角
的内角
的对边分别为
记向量
的相伴函数
,若
且
,求:①
的取值范围;②
的内切圆的半径的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234eb91d6082d883d2c885ddfc629313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00e2b008241352a9b72e9c83ff64de27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234eb91d6082d883d2c885ddfc629313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00e2b008241352a9b72e9c83ff64de27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3004ae26894a9230d9af60275303f79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47dad543bc23960c8088a307ef5b6e67.png)
(2)已知锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7af7c5df749c6fa9bbe87faa72c66d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81acfbb6774dc5acbec6094566541703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c893c2f40ff4cafbf01b42f6c35327c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c58f6e96f90e7ad2706a56871241692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1810555c0c28fe352841322b85bbc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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