1 . 在
中,角
所对的边分别为
,
;
(1)证明:
为等腰三角形;
(2)若
为
边上的点,
,且
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2475ac5795832dfe8ff0b3c6771693.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](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/d39b6bef27de230acad352f25e954f4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/492740af1308d48fb2894ed03ae940c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2018-11-27更新
|
2303次组卷
|
12卷引用:四川省成都石室中学2022-2023学年高三上学期10月月考数学(文)试题
四川省成都石室中学2022-2023学年高三上学期10月月考数学(文)试题【区级联考】广东省佛山市顺德区2019届高三第二次教学质量检测理科数学试卷广东省三校2019-2020学年高三上学期第一次联考数学(理)试题(已下线)专题4.5 正弦定理和余弦定理的应用-2021年高考数学(文)一轮复习-题型全归纳与高效训练突破(已下线)专题4.6 正弦定理和余弦定理(精练)-2021年高考数学(文)一轮复习学与练河北省石家庄市第二中学2021届高三上学期期中数学试题江西省新余市2020-2021学年度高二上学期期末数学(文)试题(已下线)专题07 三角函数与解三角形问题 第一篇 热点、难点突破篇 (练)-2021年高考数学二轮复习讲练测(浙江专用)(已下线)11.2 正弦定理 2020-2021学年高一数学同步课堂帮帮帮(苏教版2019必修第二册)山西省寿阳县第一中学2019-2020学年高一下学期第三次月考数学试题湖北省孝感市新高考联考协作体2022-2023学年高二上学期9月联考数学试题 沪教版(2020) 一轮复习 堂堂清 第三单元 3.5 正弦定理,余弦定理(一)
名校
2 . 函数
的部分图象如图所示.
(1)求
的解析式,并求函数
在
上的值域;
(2)在
中,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/161966d4b01c4bde3247045170e7b477.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/18/fa74ca23-0789-4773-ae24-4d05131c9f1f.png?resizew=160)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c85806220f8a92eca7abf4b9a37fe965.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a2607b4e46a3b64154252e90030431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4648201cf7d3aa2b265666bfc6a781e2.png)
您最近一年使用:0次
2018-10-25更新
|
504次组卷
|
3卷引用: 四川省射洪中学校2022-2023学年高一下学期第一次月考数学试题(强基班)
3 . 如图,在
中,内角
的对边分别为
,且
.
![](https://img.xkw.com/dksih/QBM/2018/9/21/2037055540191232/2050774128091136/STEM/b7e0d8427d744e37a3a4e66caeb5667f.png?resizew=198)
(1)求角
的大小;
(2)若
,
边上的中线
的长为
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/41e48cffb75932dcc5dffae68e4800f8.png)
![](https://img.xkw.com/dksih/QBM/2018/9/21/2037055540191232/2050774128091136/STEM/b7e0d8427d744e37a3a4e66caeb5667f.png?resizew=198)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed0c25b0cde4d101058efe70766d25cd.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/d581ff306fe98572d894daaca3fcaa87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
您最近一年使用:0次
名校
4 . 在锐角
中,角
的对边分别为
,
.
(1)求角
的大小;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/e726fcd27b317d4dde46858708d98551.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dfa04ed69eb5e36931c076e0cf3f01e.png)
您最近一年使用:0次
2018-09-30更新
|
1323次组卷
|
5卷引用:2020届四川省宜宾市第四中学校高三上学期期末考试数学(理)试题
5 . 在△ABC中,
、
、
分别为角
、
、
所对的边,
,且
.
(1)求角
的大小;
(2)求△ABC外接圆的圆心到AC边的距离.
![](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/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/12e0b4ec3990235ac5827e53d26dc09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/488a17389a8f9a43ad78b04f800aafde.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求△ABC外接圆的圆心到AC边的距离.
您最近一年使用:0次
名校
6 . 某海域的东西方向上分别有A,B两个观测点(如图),它们相距
海里.现有一艘轮船在D点发出求救信号,经探测得知D点位于A点北偏东45°,B点北偏西60°,这时,位于B点南偏西60°且与B点相距
海里的C点有一救援船,其航行速度为30海里/小时.
(1)求B点到D点的距离BD;
(2)若命令C处的救援船立即前往D点营救,求该救援船到达D点需要的时间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a8580b4bb2cd0af4701c8f403089d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/395424943f098d2c9a83d80039018429.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/16/33bb5b64-0445-488e-9120-594a768e3283.png?resizew=181)
(1)求B点到D点的距离BD;
(2)若命令C处的救援船立即前往D点营救,求该救援船到达D点需要的时间.
您最近一年使用:0次
2018-08-13更新
|
1032次组卷
|
7卷引用:【校级联考】四川省乐山十校2018-2019学年高一下学期半期联考数学试题
名校
7 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02c556662035f09e4893729fc7ba6d2f.png)
(1)求函数
的最小正周期和函数的单调递增区间;
(2)已知三角形
中,角
的对边分别为
,若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02c556662035f09e4893729fc7ba6d2f.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)已知三角形
![](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/2fc09323fe2ad6d2524f982378d0e207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
名校
8 . 已知在
中,角
,
,
的对边分别为
,
,
,且
.
(1)求角
的大小:
(2)若
,
.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/ea994f6a704b9f8aa92ae837dc8eb7c6.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fcc480016747ca3595a20507ff3c2c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2018-05-19更新
|
1325次组卷
|
6卷引用:【全国百强校】四川省雅安中学2017-2018学年高一下学期期中考试数学(理)试题
名校
9 . 已知
为
的内角,且
,计算:
(1)
; (2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7fdccadfa7469825f8a5ccbf495c24.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a39ee003ce154b19561409afdddb7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0500583b83b9299ddb161037467039e9.png)
您最近一年使用:0次
名校
10 . 计算:
(1)已知
,求
的值;
(2)若
,求
的值.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a7de5b70003502e40b95b3b7d3d933.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ef5b2030749f9c6d05a18902e1aa6da.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0308e3a013aaeeb8392e8437971b03ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f008cea432b68934066d32243ccf69bf.png)
您最近一年使用:0次
2018-02-05更新
|
384次组卷
|
2卷引用:四川省泸州市泸县第一中学2019-2020学年高一下学期第一次在线月考数学试题