名校
解题方法
1 . 如图,在三棱锥
中,
为等腰直角三角形,且AC为斜边,
为等边三角形.若
,
为
的中点,
为线段
上的动点.
⊥面
;
(2)求二面角
的正切值;
(3)当
的面积最小时,求
与底面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f6944d6b85d2361bb2cbd7f668ae441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c3f982d999937891eec4cb22d62e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f76b6ac1b8875af7156f3239dae6f7.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c079889aea502b5783046f78728eb1.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36691f0269294ecae8f00b7bce97756c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8120f2eeb724c756b5f84a14c6df527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c6ee63b22008f64730404a63967d11.png)
您最近一年使用:0次
2024-06-15更新
|
1396次组卷
|
2卷引用:重庆市七校联盟2023-2024学年高一下学期5月期中联合考试数学试题
名校
2 . 已知
,
.
(1)若
与
的夹角为60°,求
;
(2)若
,求
与
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e310702748855c3edccd151aae0143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fa8ea29001bb1f0c1e5157aff2fca5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b195aa36a3c2753ebf08cb464c52ad1e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c55e5c725b764e43ffe10b9485fd08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
您最近一年使用:0次
名校
解题方法
3 . 在平行四边形ABCD中,若
,
,则平行四边形ABCD的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42083f00cd68320e4e0275400c139551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499fd1c359cd78bf067326e4b940acee.png)
您最近一年使用:0次
名校
解题方法
4 . 在
中,角A、B、C的对边分别为a、b、c,已知
.
(1)求角A;
(2)若
,
周长为6,求
的面积;
(3)若
为锐角三角形,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac31cf4766d4c2621e08cd8bc2cb1028.png)
(1)求角A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67b292a8835d2b23ecc22bc2097eeb4f.png)
您最近一年使用:0次
名校
解题方法
5 . 如图,在平行四边形
中,
,
,点F为BC的中点,则下列正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc28e69c1ba0aac981256887f7dfa94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf80b036459da6dcb841a4bbe3859fc.png)
A.![]() | B.![]() |
C.![]() ![]() ![]() | D.![]() |
您最近一年使用:0次
名校
6 . 下图为抗战胜利纪功碑暨人民解放纪念碑,简称“解放碑”,位于重庆市渝中区,是抗战胜利的精神象征,是中国唯一一座纪念中华民族抗日战争胜利的纪念碑.如图:在解放碑的水平地面上的点A处测得其顶点P的仰角为45°、点B处测得其顶点P的仰角为30°,若
米,且
,则解放碑的高度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f39b5519b28d3d07e538b8b6a535ec51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac60c80d4e7a767b37931f6720d7ade6.png)
A.![]() | B.55米 | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 在
中,角
、
、
的对边分别为
、
、
,若
,又
的面积
,且
,则
( )
![](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/4d0037c350daed54ed9a4d8f67c87c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2df1d745380af6b8305bfd345b2f455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759ee5f5ca252f6acce1aacea9d17fa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92501bab17937ad492dfb8f1fb988a0a.png)
A.64 | B.84 | C.-69 | D.-89 |
您最近一年使用:0次
2024-05-04更新
|
480次组卷
|
10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
重庆市长寿中学校2023-2024学年高一下学期学段考试一(4月)试题重庆市巴蜀中学校2023-2024学年高一下学期3月月考数学试题(已下线)高一 模块3 专题1 第2套 小题进阶提升练(已下线)高一 模块3 专题1 第2套 小题进阶提升练1黑龙江省大庆市实验中学实验二部2023-2024学年高一下学期期中考试数学试卷重庆市清华中学校2023-2024学年高一下学期4月阶段测试数学试题山东省青岛市第五十八中学2023-2024学年高一下学期期中考试数学试题福建省南平市高级中学2023-2024学年高一下学期期中考试数学试题福建省南平高级中学2023-2024学年高一下学期期中数学试卷(已下线)专题04 解三角形小题常考题型归类-期末考点大串讲(人教B版2019必修第四册)
名校
8 . 如图,在
中,点
满足
,
是线段
的中点,过点
的直线与边
,
分别交于点
,
.
,求
的值;
(2)若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4090e869a70edb8917446ff0cdaff71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8954ac84d5a64358d2876a62f2a439b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/296f25357d5576fb3ccaff55c091c95c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e6af274b91dde856191e4cba8d30852.png)
您最近一年使用:0次
名校
9 . 已知圆锥的顶点为
,母线
,
所成角的余弦值为
,轴截面等腰三角形
的顶角为
,若
的面积为
.
(2)求该圆锥的内接圆柱侧面积的最大值;
(3)求圆锥的内切球体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0468237bbc0d3df77435d98b817c10c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e609d7f5a3b904e30f43fbbc26033d7.png)
(2)求该圆锥的内接圆柱侧面积的最大值;
(3)求圆锥的内切球体积.
您最近一年使用:0次
2024-04-12更新
|
1934次组卷
|
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
重庆市长寿中学校2023-2024学年高一下学期学段考试一(4月)试题重庆市清华中学校2023-2024学年高一下学期4月阶段测试数学试题(已下线)第八章:立体几何初步-同步精品课堂(人教A版2019必修第二册)
名校
解题方法
10 . 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
|
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