名校
解题方法
1 . 在
中,已知角
的对边分别是
,且
.
(1)求角
的大小;
(2)若
边上的中线为
,求
的值;
![](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/ceba172ebe5cb71c3b135da303fc5b88.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0161bb50bd10fc70085563b825103897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b10517f770b668568191d1228f21eb30.png)
您最近一年使用:0次
名校
2 . 在
中,角
的对边分别为
,已知
.
(1)求
;
(2)若
为锐角三角形,且
,
(i)求角
的取值范围;
(ii)求
面积的取值范围.
![](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/21440b7af86688c3bc9e3f09b9a2f4dd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
(i)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(ii)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-06-12更新
|
498次组卷
|
2卷引用:福建省泉州市安溪第八中学2023-2024学年高一下学期6月份质量检测数学试题
名校
解题方法
3 . 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
解题方法
4 . 在①
,②
,③
,这三个条件中任选一个,补充在横线上,并加以解答.
在
中,角
,
,
的对边分别为
,
,
,______.
(1)求角
;
(2)若
是锐角三角形,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a11ab32b33fb607bbf3f4f498b81e0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4542e5dfa3702fb2824682f0731a1c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79d78cfefee4598cfb51ae73ad6d0e.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.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)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b97bb18e5ca34d22b5e827316a122a.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
5 . (1)已知
,
,点
在线段
的延长线上,且
,求点
的坐标;
(2)若
是夹角为
的两个单位向量,求:(i)
的值;(ii)函数
的最小值;
(3)请在以下三个结论中任选一个用向量方法 证明.
①余弦定理;②平行四边形的对角线的平方和等于其四边长的平方和;③三角形的三条中线交于一点.
注:如果选择多个结论分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98b2cc0d2f6d3eee9a33db83e0c0830d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd8a31b5335186eb1bea5c80cddcfd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e490ca1cc66be5a2f1677d243fe093db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58054eff6c328eb401995a81c6e91a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d65f84320b2cea4c64a8254bbceb250.png)
(3)请在以下三个结论中任选一个用
①余弦定理;②平行四边形的对角线的平方和等于其四边长的平方和;③三角形的三条中线交于一点.
注:如果选择多个结论分别解答,按第一个解答计分.
您最近一年使用:0次
名校
解题方法
6 . 已知
的内角A,B,C的对边分别为a,b,c,向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d94f3cbe1c563cedea29cf05c7feee.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/915d0f621785da734a5c5c9da0f39ada.png)
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f643616cd3d2459c506c8647641f081f.png)
,
外接圆面积为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e22bcc5c945421216c1cdba6453ba8.png)
(1)求A;
(2)求
周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d94f3cbe1c563cedea29cf05c7feee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f24b9afb01483a5a90c9fe21b9cefd80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/915d0f621785da734a5c5c9da0f39ada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8273c260813c85abf25b7ce7163d8cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f643616cd3d2459c506c8647641f081f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4537e903a5e152e6d69b0aa0e6e648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e22bcc5c945421216c1cdba6453ba8.png)
(1)求A;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-05-23更新
|
1297次组卷
|
4卷引用:福建省厦门市同安第一中学2023-2024学年高一下学期第一次月考数学试卷
福建省厦门市同安第一中学2023-2024学年高一下学期第一次月考数学试卷(已下线)专题03 解三角形(2)-期末考点大串讲(苏教版(2019))海南省海口市海南中学2023-2024学年高一下学期第二次月考(6月)数学试题(已下线)专题05 解三角形大题常考题型归类-期期末考点大串讲(人教B版2019必修第四册)
名校
解题方法
7 . 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)
您最近一年使用:0次
名校
解题方法
8 . 已知向量
,
(1)若
,求实数m的值;
(2)求以
与
为邻边的三角形的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b2f78f5237379e51a2af85bc857d970.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78deffd3913e7665c545312d5b3ab3f6.png)
(2)求以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b4e49d17d4ad440d37c6f4bc8daba25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
您最近一年使用:0次
名校
解题方法
9 . 在
中,
为
边上一点.
,
(i)若
,求
;
(ii)求证:
;
(2)若
的面积为
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd95dc30c0344788b94289c464a3158e.png)
(i)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba35cb998b8ecbc900628986b40362e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77973fe66e58ee27ff694afa39a3a317.png)
(ii)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/157812a2cae422e754216ae6815db411.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4ef89a48f3e0c772c323787b9b3e785.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
10 . 已知
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/725321a4e0204c6e213e487ef1b2dca0.png)
(1)若
,求与
共线的单位向量;
(2)求函数
的单调递增区间;
(3)若
,求函数
的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65956dc2c1b45b07fe114e19d76e3c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425cf2568fc3bece2fe3886b4f4c06c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/725321a4e0204c6e213e487ef1b2dca0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c6cb0cc172657611e286e7fa669584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47dd5fc03cf0d593fcf67b5d18d1c2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
您最近一年使用:0次