1 . 已知
,
,
分别为
三个内角
,
,
的对边,设
面积为
,
.
(1)求角
的值;
(2)若
,
,求
的周长.
![](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/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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1272f280207aec5a9bb6c7083eebc544.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a2dd89c37b60b4596ac30e339aa0000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2 .
是
的重心,
,
,
,
是
所在平面内的一点,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c644e0c17dba05dae9209f7e493d74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() ![]() ![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
2022-07-01更新
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797次组卷
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3卷引用:江西省宜春市2021-2022学年高一下学期期末质量检测数学试题
3 . 在①
,②
这两个条件中任选一个,补充到下面的横线中,并求解.
在
中,角
,
,
所对的边分别是
,
,
,且
,
,若________.
(注:只需选一个作答,如果选择两个条件分别解答,按第一个解答给分)求:
(1)
的值;
(2)
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab839d8569171afab5ed55c22013aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/941a2c75cf77ab4ee236c02798acad9f.png)
在
![](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/d4a3ee883d82bea8e114bcaf6ee2b8e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab1c19b66cda3fb899f06d9a25e973c.png)
(注:只需选一个作答,如果选择两个条件分别解答,按第一个解答给分)求:
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2022-06-30更新
|
420次组卷
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2卷引用:江西省赣州市2021-2022学年高一下学期期末考数学试题
名校
解题方法
4 . 已知向量
,
,函数
在
内单调递增.
![](https://img.xkw.com/dksih/QBM/2022/6/28/3011119107760128/3012394130071552/STEM/8a153b0fa0044f2a9dd2c6ef03253a9b.png?resizew=217)
(1)求实数m的取值范围;
(2)如图,某小区要建一个四边形ABCD花圃,其中AB=4,AD=2,∠A是实数m的最大值,
,求四边形ABCD花圃周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3cfaab75535adc51d6a4930f7c1c282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60eaea5981dd44bb74905a5ba2cdeb2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223bce398b7e03ef859c3ea137b752fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f02108f31a77114bd68cf0477ea506d3.png)
![](https://img.xkw.com/dksih/QBM/2022/6/28/3011119107760128/3012394130071552/STEM/8a153b0fa0044f2a9dd2c6ef03253a9b.png?resizew=217)
(1)求实数m的取值范围;
(2)如图,某小区要建一个四边形ABCD花圃,其中AB=4,AD=2,∠A是实数m的最大值,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d8cf2a1cde2c4e5cec818e3c58d5cb5.png)
您最近一年使用:0次
2022-06-30更新
|
666次组卷
|
2卷引用:江西省九江“六校”2021-2022学年高一下学期期末联考数学试题
解题方法
5 . 在
ABC中,三内角A,B,C对应的边分别为a,b,c,a=6.
(1)求bcosC+ccosB的值;
(2)若O是
ABC的外心,且
,求
ABC外接圆的半径.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
(1)求bcosC+ccosB的值;
(2)若O是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb180586b3d2e1e3990760193c806b3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
您最近一年使用:0次
6 . 已知圆锥的顶点为A,过母线AB、AC的截面面积是
.若AB、AC的夹角是45°,且AC与圆锥底面所成的角是30°,则该圆锥的表面积是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
您最近一年使用:0次
解题方法
7 . 在锐角三角形ABC中,三内角A,B,C对应的边分别为a,b,c,且
,则sinB的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af4c54b7109eae4875da6ae299bf68c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
8 . 在
中,三内角A,B,C对应的边分别为a,b,c,且b=2,B=45°.若利用正弦定理解
仅有唯一解,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.0<a≤2 | B.2<a≤2![]() |
C.0<a≤2或a≥2![]() | D.0<a≤2或a=2![]() |
您最近一年使用:0次
2022-06-30更新
|
1458次组卷
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3卷引用:江西省九江“六校”2021-2022学年高一下学期期末联考数学试题
江西省九江“六校”2021-2022学年高一下学期期末联考数学试题辽宁省沈阳市第一二〇中学2021-2022学年高一下学期期末数学试题(已下线)6.4.3 课时2 正弦定理(精练)-【题型分类归纳】2022-2023学年高一数学同步讲与练(人教A版2019必修第二册)
9 . 疫情无情,人间有情.为了有效解决疫情发生以来市民群众因管控带来的出门买菜难等生活不便问题,某市在全市范围内组织开展“送菜上门、便民利民”工作.如图,运送物资的车辆已装车完毕,运送人员小赵计划从
处出发,前往
,
,
,
4个小区运送生活物资,已知
,
,
,
与
的交点为
,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/28/b9f20d54-4973-47b2-b4a9-5fda0f5e73f3.png?resizew=170)
(1)分别求
,
的长度.
(2)假设
,
,
,
,
,
,
,
均为平坦的直线型马路,小赵开着货车在马路上以
的速度匀速行驶,每到1个小区,需要10分钟的卸货时间,直到第4个小区卸完货,小赵完成运送生活物资的任务.若忽略货车在马路上损耗的其他时间(例如:等红绿灯,货车的启动和停止……),求小赵完成运送生活物资任务的最短时间(单位:min).
![](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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52e46d6aebfd3439eaa959b09a611da8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6049355da8406aac9ba285838e3d7a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94237bbb1e77e6beb12fd8e82c235e79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/28/b9f20d54-4973-47b2-b4a9-5fda0f5e73f3.png?resizew=170)
(1)分别求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)假设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2d980c1eb675aa10eb9368e83961aaa.png)
您最近一年使用:0次
2022-06-27更新
|
772次组卷
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9卷引用:江西省上饶市四校2021-2022学年高一下学期第四次联考数学试题
江西省上饶市四校2021-2022学年高一下学期第四次联考数学试题 湖北省十堰市2021--2022学年高一下学期期末数学试题河北省承德高中2021~2022学年高一下学期六月联考数学试题吉林省白山市2021-2022学年高一下学期期末数学试题天津市第四中学2022-2023学年高二上学期入学摸底考试数学试题(已下线)6.4.3第3课时余弦定理、正弦定理应用举例(精练)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)第六章 平面向量及其应用(单元测试)-2022-2023学年高一数学同步精品课堂(人教A版2019必修第二册)(已下线)模块四 专题3 期末重组综合练(湖北)江苏省南京航空航天大学附属高级中学2022-2023学年高一下学期6月月考数学试题
10 . 已知a,b,c分别为
的内角A,B,C所对的边,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d43f30e995c9bb291bd47921c6fa30e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/841b863826d12fd58a0ef28d78f24423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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2022-06-23更新
|
345次组卷
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2卷引用:江西省丰城市第九中学(日新班)2021-2022学年高一下学期期末检测数学试题