名校
1 . 在
中,内角
所对的边分别为
,满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0071e88b38326a3355b331d8081c509c.png)
(1)求证:
;
(2)若
为锐角三角形,
①求
的取值范围;
②求
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/0071e88b38326a3355b331d8081c509c.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2264c134952d41fb9bcb90e6c72c83.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c91bf8203ca6d2bf8f985d331f7ee5.png)
您最近一年使用:0次
名校
解题方法
2 . 已知
,角
、
、
的对边分别为
、
、
,
、
均在线段
上,
为中线,
为
的平分线.
,求证
;
(2)在(1)的条件下,若
,求
;
(3)若
,求
的取值范围.
![](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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14342c5f52a0f5d34f58fc938bfe62a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe29c42302504e7fd8577dbc7d130ac7.png)
(2)在(1)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f3e693ef0f9f5ff9aec5bf7480ea18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1311f32edf13f8caee5edb03f24a7ba.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8021ba713186ce728699dadb321a612d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
您最近一年使用:0次
2024-04-12更新
|
513次组卷
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3卷引用:重庆市长寿中学校2023-2024学年高一下学期学段考试一(4月)试题
3 . 如图,在
中,
为钝角,
,
,
.过点
作
的垂线,交
于点
,
为
延长线上一点,连接
,若
.
的长;
(2)证明:
;
(3)设
,
,是否存在实数
,使得
恒成立?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080ca48cd27d4bf9d9ef084b558fc17a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4feca46892420550b89640eeb6efa4bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef5f3e6682ff3bbb22f5f837468c5e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3719cea07e8f138a4d7818536712282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61054f941aa4f57e9f92bd510d2bdd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55dddd64d22de704d8cdefccc521ecd7.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0b34e72825d8122b50e52c3a08f35a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c58d500e2ec5ae5f62c3b5f28348c62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200fc2c6a285ba2b4322ace4ed0a9758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
4 . 如图,在梯形
中,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/14/6713db70-9a6f-4c3b-95c2-4f49f4090b02.png?resizew=133)
(1)求证:
;
(2)若
,
,求
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5bdd2b8ed74f06bbc2419a972c02042.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/14/6713db70-9a6f-4c3b-95c2-4f49f4090b02.png?resizew=133)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/510634e49198fc429d942d00fa5446ab.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/341e8dae00f6b2abc94199ccfd6cf180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae139b51956b9281d73d9ba82b875e46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2023-05-11更新
|
1223次组卷
|
5卷引用:重庆市铜梁中学校2022-2023学年高一下学期期中数学试题
重庆市铜梁中学校2022-2023学年高一下学期期中数学试题河北省石家庄第二中学2023届高三下学期5月月考数学试题浙江省舟山中学2022-2023学年高一下学期5月月考数学试题(已下线)重难点突破02 解三角形图形类问题(十大题型)-1(已下线)第11章 解三角形 章末题型归纳总结(1)-【帮课堂】(苏教版2019必修第二册)
22-23高三·河北·阶段练习
名校
解题方法
5 . 在锐角
中,
均为已知常数),.
的外接圆,内切圆半径分别为
.
(1)求
;
(2)点
分别在线段
上,
的周长为
,请证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9b39ec72f31e276913731fe528ea501.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4c5cf91626c9466cb419c9f05b635e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ccc856c1ae94972c6699b3952f92c72.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927456b0989846a2f1573844bbaa2105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee14312eec42c729aab9880e09d3726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddf27f1db96592cdf0eef5d9481a759.png)
您最近一年使用:0次
2023-02-06更新
|
1099次组卷
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3卷引用:重庆市第一中学校2022-2023学年高一下学期4月月考数学试题
名校
解题方法
6 . 记
的内角
的对边分别为
.已知
.
(1)证明:
;
(2)若
,求边长
.
![](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/8ab46f5c3a111557d38c49e10fa99388.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f296989add06c4bc2207a20b0746e533.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92432d21120e42ecf79a54d064d1655d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20cda097a4e7c41100e573d8304ee066.png)
您最近一年使用:0次
2023-05-27更新
|
1338次组卷
|
4卷引用:重庆市第八中学2023届高三下学期全真模拟数学试题
名校
7 . 在
中,
为
上的中点,满足
.
(1)证明:
为等腰三角形或直角三角形;
(2)若角
为锐角,
为边
上一点,
,求
的面积.
![](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/d807a6028b747ff0cca7b5c8576cb461.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead6ae25c779d671c7c4f035a983445f.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 . 如图,△ABC中,点D为边BC上一点,且满足
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/c1ea66fe-1e1e-4864-99a2-185c66373637.png?resizew=214)
(1)证明:
;
(2)若AB=2,AC=1,
,求△ABD的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7702345faab336ee91d6be0360be8cef.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/c1ea66fe-1e1e-4864-99a2-185c66373637.png?resizew=214)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de47573a39d8540ed1ae433628fcdca0.png)
(2)若AB=2,AC=1,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e32513c66bca1e2d1706d50a6615df1a.png)
您最近一年使用:0次
2022-10-27更新
|
1827次组卷
|
9卷引用:重庆市云阳县高阳中学2023届高三上学期第二次质量检测理科数学试题
重庆市云阳县高阳中学2023届高三上学期第二次质量检测理科数学试题河南省安阳市2022-2023学年高三上学期一轮复习联考(二)全国卷理科数学试题2023届高三上学期一轮复习联考(二)全国卷理科数学试卷甘肃省张掖市某重点校2022-2023学年高三上学期11月月考数学(理)试题(已下线)专题02 正余弦定理在解三角形中的高级应用与最值问题(精讲精练)-2河北省石家庄市藁城新冀明中学2023届高三一轮复习联考(二)数学试题(已下线)6.4.2 平面向量的应用(精讲)-2022-2023学年高一数学一隅三反系列(人教A版2019必修第二册)(已下线)第09讲 解三角形中解答题4种基础题型广东省广州市荔湾区西关外国语学校2022-2023学年高一下学期期中数学试题
名校
解题方法
9 . 在①
,②
,③
这三个条件中任选一个,补充在下面问题中,并解答.
已知在四边形ABCD中,
,
,且______.
(1)证明:
;
(2)若
,求四边形ABCD的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c4e4a162f12d12a082b8d8fdd1aeab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60cad35a7ff8b6f03f44562a3f64c530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0a59320377ec2ae9bf89fcfab07dcde.png)
已知在四边形ABCD中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a483c03dfd6bc9710f327f8722df28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ad8d16722f5b9e7fd2602f14d5ffbe.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/652272ecb5335c6b70e3141735b3bb2e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
您最近一年使用:0次
2022-03-05更新
|
3675次组卷
|
8卷引用:重庆市缙云教育联盟2022届高三下学期3月质量检测数学试题
重庆市缙云教育联盟2022届高三下学期3月质量检测数学试题重庆市南开中学校2021-2022学年高一下学期7月月考数学试题2022年高三数学新高考测评卷(猜题卷七)(已下线)专题13 解三角形-2022届高考数学一模试题分类汇编(新高考卷)(已下线)考点09 解三角形-2-(核心考点讲与练)-2023年高考数学一轮复习核心考点讲与练(新高考专用)(已下线)专题14 解三角形图形类问题-1(已下线)专题20 解三角形-1(已下线)重难点突破02 解三角形图形类问题(十大题型)-1
名校
解题方法
10 . 在△ABC中,内角A、B、C所对的边分别为a、b、c,sinA=2sinB.
(1)若
,求C;
(2)点D在边AB上,且AD=
c,证明:CD平分∠ACB.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5a36324917b1c80824dbfdb13978177.png)
(2)点D在边AB上,且AD=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
您最近一年使用:0次
2022-03-25更新
|
1771次组卷
|
4卷引用:重庆市育才中学2022届高三二诊模拟(二)数学试题
重庆市育才中学2022届高三二诊模拟(二)数学试题江苏省七市(南通、泰州、扬州、徐州、淮安、连云港、宿迁)2022届高三下学期第二次调研考试数学试题山东省五莲县、诸城市、安丘市、兰山区四县区2022届高三过程性测试数学试题(已下线)江苏省七市2022届高三下学期第二次调研考试数学试题变式题17-22