解题方法
1 .
的角
对应边是 a,b,c ,三角形的重心是 O.已知
.
(1)求 a 的长.
(2)求
的面积.
![](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/7f9fbd659c7e4424a2ea5a20a86c0cf7.png)
(1)求 a 的长.
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
解题方法
2 . 如图,在四棱锥
中,
为等边三角形,底面
是矩形,平面
平面
分别为线段
的中点,点
在线段
上(不包括端点).
,求证:点
四点共面;
(2)若
,是否存在点
,使得
与平面
所成角的正弦值为
,若存在,求出
,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e78042a384255038de485fd7bc0839.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1995c33caa487cf6d5410218590f129b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa364dffb98a94fb8285c2cdb9ad14b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c4e54e5f68aba2836820c09e3847cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512efef36576084492bf3b06131fbdcf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d58da37b3d1dbd2fee75089d5ba28134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e108d5c61e85e0741ec2c484fc5768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8df877496fdae8f20414130174368.png)
您最近一年使用:0次
名校
解题方法
3 . 记
的内角
的对边分别为
,若
,且
的面积为
.
(1)求角
;
(2)若
,求
的最小值.
![](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/b85bb05605d5773c1a81afd57adc0275.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ca820a456491348e72587e4fe10bc6.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c9ba21933a3ac9f13936183443e8d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316699c45f1c088945d0cd3bb46eecfb.png)
您最近一年使用:0次
2024-04-18更新
|
1829次组卷
|
4卷引用:江苏省扬州中学、盐城中学、淮阴中学、丹阳中学四校2023-2024学年高三下学期调研测试联考数学试卷
江苏省扬州中学、盐城中学、淮阴中学、丹阳中学四校2023-2024学年高三下学期调研测试联考数学试卷河北省张家口市尚义县第一中学等校2024届高三下学期模拟演练数学试题广西柳州高级中学2024届高三下学期5月适应性演练数学试卷(已下线)3.4 正弦定理和余弦定理(高考真题素材之十年高考)
名校
解题方法
4 . 已知
的内角A,B,C所对的边分别为a,b,c,
.
(1)求B;
(2)若点D在AC上,且
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/309f537e5bd6c092d0017bb1e4d3cc83.png)
(1)求B;
(2)若点D在AC上,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417a1d5c9063a6eb4a3e6391ee44e771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11f787941cb1abfe9bb757276b765c0b.png)
您最近一年使用:0次
2024-04-10更新
|
1105次组卷
|
2卷引用:吉林省延边部分学校2024年普通高校招生考试模拟卷(一)数学试题
名校
解题方法
5 . 已知
的内角
的对边分别为
,向量
,且
.
(1)求
;
(2)求
的最小值.
![](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/17247ea31e18ee74774e11aa83010340.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2758285d3c1d8c16784edbc5f572fc26.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0725b62bfc941e064258af9bafa19f02.png)
您最近一年使用:0次
名校
解题方法
6 . 已知
的内角
的对边分别为
,且
.
(1)求角
;
(2)若
,求
面积的最大值.
![](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/ce28b879d3e2affb6329fd67cfb89d43.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ef3880d662c4b45dcf285ae681ac2f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-04-03更新
|
500次组卷
|
2卷引用:四川省百师联盟2024届高三冲刺卷(三)理科数学试题(全国卷)
7 . 已知O为坐标原点,点W为
:
和
的公共点,
,
与直线
相切,记动点M的轨迹为C.
(1)求C的方程;
(2)若
,直线
与C交于点A,B,直线
与C交于点
,
,点A,
在第一象限,记直线
与
的交点为G,直线
与
的交点为H,线段AB的中点为E.
①证明:G,E,H三点共线;
②若
,过点H作
的平行线,分别交线段
,
于点
,
,求四边形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fef27cb7cb1b666c1734c65a7aa9aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/129252fedd811438b120240cd9aa5d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fef27cb7cb1b666c1734c65a7aa9aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed919c5b87f48f117bcddee8783f6f06.png)
(1)求C的方程;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f537c893dfe2661ba4273cf218c72d34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb633c0e8698fc28359c61d4518088b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182a54447325faa238a34a1595538620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6655cc150ddc9deba2254780984d0024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943712a5e96b16cc15d775cc4687237e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12daf5fea89631b84f896939c503d88a.png)
①证明:G,E,H三点共线;
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86239f4474ba8806e3afc4755900a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6024fd4532f5f981deac4582c799a6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6655cc150ddc9deba2254780984d0024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e01c77ea8aec0f14e3e6c37ed374cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc2a46ea6ecc0a8efd8cd05770830106.png)
您最近一年使用:0次
2024-03-15更新
|
1644次组卷
|
4卷引用:山东省青岛市2024届高三下学期第一次适应性检测数学试题
山东省青岛市2024届高三下学期第一次适应性检测数学试题江西省宜春市宜丰中学2023-2024学年高二下学期3月月考数学试题上海市实验学校2023-2024学年高二下学期4月月考数学试卷(已下线)第6题 设点or设线解决阿基米德三角形问题(压轴大题)
名校
解题方法
8 . 在
中,角
的对边分别为
,已知
.
(1)求
;
(2)若
,且
,求
.
![](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/01c7bdde2489eff89c4a924dd844a0fc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c96e2b92230191be42150ce7abedb00e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9ad150cb1e4cd8977d4cc3d99be17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
2024-01-29更新
|
2507次组卷
|
3卷引用:吉林省长春市五校2023-2024学年高三上学期联合模拟考试数学试题
吉林省长春市五校2023-2024学年高三上学期联合模拟考试数学试题湖南省岳阳市第一中学2023-2024学年高三下学期开学考试数学试题(已下线)热点3-3 正弦定理与余弦定理(8题型+满分技巧+限时检测)
名校
解题方法
9 . 在梯形
中,
为钝角,
,
.
(1)求
;
(2)设点
为
的中点,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90e3dd2b3703ee2ab20e90b840a8cc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/509eb54289249dbc851010297a96c12d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ef4c4ccf6b0373892fa33fc7b3c6947.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba2a482b03fc0f2545fb4b9109725f0.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
您最近一年使用:0次
2024-01-17更新
|
1766次组卷
|
6卷引用:重庆市主城区2024届高三上学期第一次学业质量检测数学试题
重庆市主城区2024届高三上学期第一次学业质量检测数学试题(已下线)考点14 余弦定理及应用 --2024届高考数学考点总动员【练】(已下线)重难点3-2 解三角形的综合应用(8题型+满分技巧+限时检测)(已下线)专题05 三角函数(已下线)专题11.1余弦定理-重难点突破及混淆易错规避(苏教版2019必修第二册)重庆市涪陵第五中学校2023-2024学年高一下学期第一次月考数学试题
2024·全国·模拟预测
名校
10 . 在
中,
分别是角
所对的边,
为边
上一点.
(1)试利用“
”证明:“
”;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(1)试利用“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/206bc3c5c7f06544ebc6fea332a1e355.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac2e0bda3b5fd4591523e4d5e3bcd73.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a5db0f7970a27d651ed8ae0b4f3662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-01-14更新
|
360次组卷
|
3卷引用:2024南通名师高考原创卷(一)