名校
1 . 已知
的角
、
、
所对的边分别是
,
,
,设向量
,
,
.
(1)若
,判断
的形状;
(2)若
,边长
,
,求
的面积.
![](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/287069fa1ea3820b312643ced2f69bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005277f7f15948dc381da940b4600339.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11e143ee110af76dd45dbca44141eba0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4d070c5939bb0ec4a9d40d7e3c7d3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1a9f3017e7b1dfb43a1be4f9910d1c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff56c753e26ceda3ad3a79eb778d6dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0334bc85843337c4dfcfdc5c638f9f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-05-08更新
|
686次组卷
|
3卷引用:重庆市部分学校2023-2024学年高一下学期5月月考数学试题
名校
解题方法
2 . 已知向量
,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b256d6f05a02b36a9fe5794cbe62f819.png)
(1)若
,且
,求
的值
(2)如
,
,求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed7cd0ccb0af9f5499865d643c33c9de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b256d6f05a02b36a9fe5794cbe62f819.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3047d4ab078dafc06c047bcbf0a6ffaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2615a72e20eb034bda653871abb1b800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)如
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1002dc7422e0d8f149b79432afbf1ca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ba4a407b02ace2dba86455204ae079.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6abc69c57972a4efb8301e3308ea9ca6.png)
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2024-05-04更新
|
207次组卷
|
2卷引用:重庆市渝高中学&城口中学2023-2024学年高一下学期第二次联合质量监测数学试题
3 . 在△ABC中,
M是BC的中点,
,则AC=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/275abf9f53352909d4321a08c51e6d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/251a0e63b401d131f69677ccf5fabacf.png)
A.![]() | B.2 | C.![]() | D.4 |
您最近一年使用:0次
4 . 为保障高考的公平性,高考时每个考点都要安装手机屏蔽仪,要求在考点周围1km处不能收到手机信号,检查员抽查某区一考点,在考点正西
km有一条北偏东
方向的公路,在此处检查员用手机接通电话,如果以每小时12km的速度沿公路行驶,则最长需要______ 分钟检查员开始收不到信号.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
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名校
5 . 秦九韶是我国南宋时期的著名数学家,他在著作《数书九章》中提出,已知三角形三边长计算三角形面积的一种方法“三斜求积术”,其公式为:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1343936f0c49edcc38150b7b7c43e7b5.png)
.若
,
,
,则利用“三斜求积术”求
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1343936f0c49edcc38150b7b7c43e7b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fabda43f599d802a6f71e0db08f49686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5248f004abb3f4132fe5edc6694fbbe1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55493e331f88d3d1c396e92b46c97ecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce613eaa5df46a50174085ef5d1087fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-21更新
|
507次组卷
|
3卷引用:重庆市荣昌中学校2023-2024学年高一下学期3月月考数学试题
6 . 在
中,内角A,B,C所对的边分别为a,b,c.已知
.
(1)求角A的大小;
(2)若
,且
,求AP的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4236870dc601f18424430449ecebbac4.png)
(1)求角A的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25fc149bd3ced297491e0249ec03a78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b409809543bae9f5e231a83e515dbbf.png)
您最近一年使用:0次
名校
解题方法
7 . 在
中,
为线段
上的动点,且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fc9dc696d00358da664e45aca27822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8fe4b40606d4e67aa7f3e23e0a4d14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7e12253044b5abff2a56dcd730ced8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-31更新
|
834次组卷
|
8卷引用:重庆市荣昌中学校2023-2024学年高一下学期4月期中考试数学试题
重庆市荣昌中学校2023-2024学年高一下学期4月期中考试数学试题湖南省株洲市第十三中学2023-2024学年高一下学期3月月考数学试卷(已下线)6.4.3.2?正弦定理15种常考题型归类(2)-高频考点通关与解题策略(人教A版2019必修第二册)浙江省嘉兴市第五高级中学2023-2024学年高一下学期4月月考数学试题(已下线)6.4.3.2 正弦定理——课堂例题湖南省常德市第一中学2023-2024学年高一下学期期中考试数学试题(已下线)9.1.2余弦定理-同步精品课堂(人教B版2019必修第四册)(已下线)高一数学期中模拟卷一(范围:平面向量+复数+立体几何初步)--同步精讲精练宝典(人教A版2019必修第二册)
名校
解题方法
8 . “但有一枝堪比玉,何须九畹始征兰”,盛开的白玉兰是上海的春天最亮丽的风景线,除白玉兰外,上海还种植木兰科的其他栽培种,如黄玉兰和紫玉兰等.某种植园准备将如图扇形空地AOB分成三部分,分别种植白玉兰、黄玉兰和紫玉兰;已知扇形的半径为70米,圆心角为
,动点P在扇形的弧上,点Q在OB上,且
.
(2)当
米时,求PQ的长;
(3)综合考虑到成本和美观原因,要使白玉兰种植区
的面积尽可能的大.设
,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f8d7771b82429dcd6b48b768918c7c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a9ab90788bfa77a7287d14ce54efb02.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4d476faf357f6499ff47a73a298c83.png)
(3)综合考虑到成本和美观原因,要使白玉兰种植区
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1f0417d8269f01d8e0bc1a8756e2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/867d00157025729b6a66380810466edc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1f0417d8269f01d8e0bc1a8756e2ac.png)
您最近一年使用:0次
2024-03-26更新
|
830次组卷
|
7卷引用:重庆市青木关中学校2023-2024学年高一下学期第一次月考模拟数学试卷
重庆市青木关中学校2023-2024学年高一下学期第一次月考模拟数学试卷上海市建平中学2023-2024学年高一下学期第一次教学质量检测(3月月考)数学试卷(已下线)6.4.3.2?正弦定理15种常考题型归类(2)-高频考点通关与解题策略(人教A版2019必修第二册)(已下线)6.4.3.2 正弦定理——课后作业(基础版)广东省广州市育才中学2023-2024学年高一下学期期中数学试题安徽省六安市第二中学河西校区2023-2024学年高一下学期期中考试数学试题河南省焦作市第一中学2023-2024学年高一下学期期中考试数学试题
名校
解题方法
9 . 在
中,角A,B,C的对边分别为a,b,c,且
.
的大小;
(2)若
,且
的面积为
,求
的长度;
(3)若
为锐角三角形,
,求
的面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d01d2956b453f7a29b4221cee240dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7324614911323ac5ca128ab6066b2985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/395424943f098d2c9a83d80039018429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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名校
解题方法
10 . 在
中,角
所对的边分别为
,已知
,若
为
边上的中线,且
,则
的面积等于__________ .
![](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/2e9fb406996590b023f276412f17c633.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f388f9ee1922089929524767e63df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次